The Impact of Literacy Support Services on Reading Achievement Gains

On April 11, 1965, President Lyndon Johnson signed public law 89-10 (PL 89-10), otherwise known as the Elementary and Secondary Education Act (ESEA) (U.S. Congress, 1965). The ESEA was one of a number of Johnson administration domestic policy measures known as the Great Society program (Califano, 1999). Johnsons Great Society was designed to strengthen executive cabinet positions to address several domestic issues such as civil rights, health care, and education. According to Califano, the former Secretary of Health, Education, and Welfare under the Jimmy Carter administration, health and education was the cornerstone of the Great Society concept (para 6). Johnson himself expressed the need to re-vitalize public education in the U.S. in his 1964 Great Society Speech

We must seek an educational system which grows in excellence as it grows in size. This means better training for our teachers. It means preparing youth to enjoy their hours of leisure as well as their hours of labor. It means exploring new techniques of teaching, to find new ways to stimulate the love of learning and the capacity for creation. (Johnson, 1964, sec. 29)

Johnsons domestic policy centered on the belief that if cabinet-level departments were adequately funded, beginning with health, education, and civil rights, the human condition in America itself would improve and continue to flourish in generations to come. Since its initial enactment, the 1965 ESEA has undergone three re-authorizations to include the 2001 version known as the No Child Left behind Act.

Today, the Johnson speech and the philosophies of the Great Society are rarely mentioned in discussions of public education although one component of the 1965 ESEA continues to receive attention as it relates to higher learning outcomes. Title 1, section 101 of the 1965 ESEA is headed Improving the Academic Achievement of the Disadvantaged (89th Congress, 1965). According to the ESEA, the purpose of Title 1 is to ensure that all children have a fair, equal, and significant opportunity to obtain a high-quality education and reach, at a minimum, proficiency on challenging State academic achievement standards and state academic assessments (89th Congress, 1965, PL 89-10, sec. 1001). This purpose of Title 1 was originally designed to be accomplished through sub-objectives. Among these objectives, item 8 states, Providing children an enriched and accelerated educational program, including the use of school-wide programs or additional services that increase the amount and quality of instructional time (89th Congress, 1965, PL 89-10, sec. 1001, para 8).

    Regardless of federal funding, student support and other remedial academic programs are used in all or nearly all public schools in the United States. Although the American overseas school included in this study does not fall under the Title 1 program, Johnsons speech and the essence of why Title I was created is the American overseas school systems inspiration to offer the remedial support program to be studied. Students who perform below the standard are offered the remedial reading program, in an effort to improve student reading comprehension.

 This concept paper will examine the effects of a particular support program, Literacy Support Services LSS, on substandard readers, which is in jeopardy of being canceled due to budget constraints within the American overseas school system. Without data to support the programs need, the program may be terminated (Degalis, 2009). Thus, the sample will be drawn from one American overseas school.  Literature reviews on the topic of literacy and reading support programs, examples of various programs in schools across the United States and abroad, and the results of local assessments disaggregated by student achievement levels will be the basis by which the problem and purpose of this concept paper are addressed.  

Statement of the Problem
tc Statement of the problem f C l 2tc Statement of the problem f C l 2
    The American overseas school systems 2006 Community Strategic Plan (CSP) states 100 percent of students will perform At the Standard level or higher on system-wide, criterion-referenced assessments aligned to the ReadingEnglishLanguage Arts, Math, Science, Social Studies, and Technology performance standards (DoDEA, 2006, p. 2). The term at the standard is defined later in this concept paper. System-wide assessments, include the Scholastic Reading Inventory (SRI) and the TerraNova second edition, both of which are defined later. In one American overseas intermediate school serving third-grade through fifth-grade students, 100 of students did not meet the standard. The percentage of students who did not meet the standard in reading was 30, 23, and 18 for third through fifth grade, respectively (AEIS, 2009 p. 11).

While the literature review suggests there have been many attempts to improve reading performance through student support programs stateside, none have reviewed reading performance data paired with (LSS) within this particular American overseas school system. The failure of 100 of American overseas school system students to achieve the standard is further compounded by the overseas school systems recent cutbacks to the Pacific Literacy Project and Reading Recovery slots in Europe. These slots fund literacy facilitators and reading coaches who provide in classroom reading support to teachers and work directly with substandard readers (Degalis, 2009). Europe had recently discovered their Reading Recovery slots were canceled and would not receive funding by the school systems headquarters. The teachers union, The Federal Education Association (FEA) has challenged this move (Degalis, 2009). Headquarters in Alexandria, Virginia has recently enforced data-driven decisions and removed several programs and services that lack data to support the benefits of these programs (Degalis, 2009). Therefore, this study will provide data to determine whether students in the LSS program have higher growth on the scholastic reading inventory (SRI) than their non-LSS counterparts receiving only general classroom instruction. The findings of this study could determine the future of the LSS program in the American overseas system schools.
Purpose of the Study

The purpose of this quantitative study is to determine whether students receiving Literacy Support Services (LSS) have a greater percentage of growth than non-LSS students on the SRI exam as well as to compare LSS students end-of-year TerraNova scores to non-LSS students. Determining whether LSS students achieved greater growth than non-LSS students on the SRI could support a data-driven decision as to whether or not to continue the LSS program or to sacrifice it with the PLP and Reading Recovery programs to support other programs that data have proven successful. Determining whether LSS students performed the same as their non-LSS peers on the end-of-year TerraNova assessment may also indicate the benefits of the LSS program. The findings from this study may indicate that the reduction of student support programs in literacy skills impedes students meeting the standards required in the CSP. For instance, CSP goal 1 states educators must ensure the highest academic achievement and 100 of students must meet the standard (DoDEA, 2006) thus, we must ensure all students achieve the SRI standard at the end of the year. Students take the SRI in August and retake the end-of-year exam in May. If LSS students earned a higher percentage of growth than non-LSS this may be the data headquarters needs to determine whether to continue funding the LSS program. Therefore, the independent variables are LSS and non-LSS students and the dependent variables are their SRI and TerraNova scores.

The setting of the study is in a United States military community in Okinawa, Japan. Specifically, the study will occur at an American Intermediate School, one of 13 schools on the island of Okinawa serving over 8000 K-12 students primarily from U.S. military and Department of Defense families (DoDEA, 2007). The intermediate school is comprised of 540 third through fifth-grade students. As mentioned later in this concept paper, the students of interest are those who score in the third quartile of the math and reading subtests on the TerraNova Multiple Assessments and are therefore classified as LSS students. These students receive supplemental educational services in math, reading, and written language. The number of students receiving supplemental support is approximately 90. The sample size will include 128 students, half will be LSS students and half are non-LSS students (Cohen, 1992).

Definition of Key Termstc Definition of Key Terms f C l 1tc Definition of Key Terms f C l 1
At-the-standard-The SRI standard for third graders is 500 and above for fourth grade the standard is 600 and above, and for fifth grade the standard is 700 and above (AEIS, 2009).

Substandard Student-Students who scored in the third quartile (26th  50th percentiles) on the TerraNova Multiple Assessments (TNMA) particularly (but not exclusively) on the math andor reading subtests and are not receiving special education services are considered at risk of not meeting academic standards and are therefore enrolled in the LSS program (Alderman, 2008).

Lexile. This term refers to pre-defined levels or at the standard of performance on the SRI of 500 for third-grade students, 600 for fourth-grade students, and 700 for fifth-grade students according the Scholastic Reading Inventory (AEIS, 2009).

Literacy Support Services. These are services (including Read 180) for substandard students, as defined above, who perform below the 50th percentile on the TerraNova reading and language subtests, but higher than the 10th percentile (which is a possible indicator of a need for special education services) (AEIS, 2009).

Mean percentile rank. Mean percentile rank is the relation of a students score on a given assessment according to the average scores of all students in a norma group. A higher percentile ranking indicates higher performance according to peer scores (Pearson, 2008).

READ 180. READ 180 is developed by the Scholastic corporation as a comprehensive reading intervention program for fourth- through twelfth-grade students reading below proficiency levels. READ 180s design of independent, small group, and whole group instruction is aligned with findings from research of effective reading interventions including decoding skills to reading comprehension strategies (Mayer et al., 2006).

Scholastic Reading Inventory (SRI). The SRI is a research-based, computer-based reading assessment for K12 grade students that measures reading comprehension levels and reports it according to lexile (Scholastic, 2009). The SRI is administered at the beginning and end of each school year but may also be given throughout the year within system-defined intervals. (DoDEA, 2009)

Student Support Services (SSS). These are provided for those students who need specially designed instruction that is beyond what can be provided through the general education program. SSS are provided to assist students in reaching their full developmental and academic potential. SSS are part of general education services and should not be confused with special education services for students identified with specific learning disabilities and provided an individualized education plan (IEP) (IDRA, 2009).

System-Wide Assessment. These assessments are those used by an entire school system and administered under consistent conditions between each school. For the overseas American school system, the system-wide assessments used are the TerraNova Multiple Assessments (TNMA) Third Edition and the Scholastic Reading Inventory (SRI). The TNMA Third edition was initially administered for the first time in the spring of 2009. The second edition was used from 2002 to 2008. Because of the change in edition, no data will be collected from the TNMA (DoDEA, 2009).
Research Questionstc Research Questions f C l 1tc Research Questions f C l 2
Limited data is collected directly on the topic of improving American overseas students reading comprehension through the American overseas school systems LSS program. The research in reading support programs did not discover supporting data for middle school students reading achievement after receiving LSS services. Therefore, the research questions below are necessary in order to determine the value of continuing the LSS program. The research questions for this study are as follows
        Q1 How does the rate of growth in reading comprehension, as measured by SRI scores, significantly compare between students who receive LSS and their peers who do not receive LSS
    Q2 How do LSS students perform on the TerraNova second edition reading subtest as compared to non-LSS students
Hypotheses
tc Hypotheses f C l 2tc Hypotheses f C l 2
This study will examine the literacy skills growth rate between students who receive LSS and their counterparts who receive only general classroom instruction. Each group will include intermediate school third through fifth grade students. Each research question will be supported by a null and alternative hypothesis. Since past research indicates support services should improve student achievement, the hypotheses are stated in terms of expected gains.
    The null hypothesis and alternative hypotheses are as follows
    H10 The average gain in SRI scores of students receiving LSS will be equal to or less than those of students receiving only general classroom instruction after one year of this support service.
    H1a The average gain in SRI scores of students receiving LSS will be greater than those of students receiving only general classroom instruction after one year of this support service.
H20 After one year of LSS services, the mean TerraNova 2nd reading subtest score of students receiving LSS will be equal to or less than the mean score of non-LSS students.
    H1a After one year of LSS services, the mean TerraNova 2nd reading subtest score of students receiving LSS will be greater than the mean score of non-LSS students.
tc Setting f C l 2tc Setting f C l 2Brief Review of the Literature

There is a need for increased support services for students who perform at decreased academic standards (Cabell, Justic, Zucker,  Kilday, 2009). Student support services of various designs have existed since before the days of ESEA and will likely continue beyond its next re-authorization. Using a quantitative design, this study will compare the growth rate of substandard readers (those enrolled in the LSS program) and their achievement on system-wide assessments in literacy skills against the rate of students who are not identified as LSS students. The literature review will examine the results of previous academic program studies.

On June 8, 2009, during a conference at the Institute of Educational Sciences (IES), U.S. Secretary of Education Arne Duncan was asked what role the Department of Education could play in utilizing resources outside of the classroom to promote higher student achievement. In his response, Duncan expressed a desire to see U.S. schools adopt practices of public schools internationally such as longer school days and extended school calendars (Duncan, 2009).

While Duncans comments may not suggest any specific shift in school district policies, they do reinforce the conclusion of many education professionals that U.S. schools and students require immediate interventions to raise their performance to that of their international peers. Marcotte and Hemelt (2007) attempted to correlate the varied length of school days and school calendars with the student achievement at public and charter schools across the country. While the results of their study are not entirely conclusive, such studies of these and other interventions are likely to continue as long as U.S. students do not perform according to the standards expected from teachers, parents, and future employers.

Reading assessment is a key avenue to determining the level of retention and academic development. It is worth noting that though reading assessment scores are important in determining development in cognition, language, and articulation skills, it does not develop a holistic picture of the development made by a student in other important aspects of learning. Other critical issues like behavioral development and social interaction skills must be considered in determining the efficiency of a measure or a system to student development (Terry, 2009). Nevertheless literacy services have shown considerable impact on the academic development of grade-level students. However, no studies have been conducted specifically on LSS students and their SRI and TerraNova scores leading to the possible demise of the LSS program.

There has been minimal emphasis on the need for early literacy intervention at an individualized level. This is an observation in a backdrop of an educational system where gaps in performance are rising by the minute. However, studies have shown that reading achievement in primary grades is associated with the nature of instructions used and are considerably affected by use of early intervention systems. Early identification and interventions are important in ensuring that the deficit areas are addressed to prevent later difficulties and improve children skills (Cabell, Justice, Zucker,  Kilday, 2009). School-based, group-level interventions have been proven successful in ensuring that substandard students performance is corrected to average levels with respect to reading outcomes. However, the success of such a program largely depends on the level of organization and objectivity to addressing specific areas where students encounter difficulty. This has led to an increase in awareness of the need for teachers to carefully diagnose the challenges that students face, the areas where they find difficulty, and timeliness of the intervention. Failure to meet these requirements may result in failure of intervention systems in their entirety. A key risk in implementing intervention systems that often include literacy support systems is focusing more on the content rather than guiding both the students and teachers who deliver to the substandard student. This brings about literacy supports as one of the key factors that may affect the efficiency with which substandard students needs are met and ensure that they benefit from the school system. Other areas that have proven to be quite deterministic of the efficiency of support services is the accuracy with which teachers can identify students that have problems in their academic development but do not qualify or are yet to qualify for special classes.

The increase in research on the applicability of literacy support services to substandard students has raised awareness of U.S. educators of the special needs required by this group. The adoption of literacy support services is increasing mainly due to appreciation of the impact that it has on the level of academic performance, an increase in awareness of the potential that the substandard students have, and appreciation of the ability to realize this potential if relevant strategies are adopted (Cabell, Justice, Zucker,  Kilday, 2009). Moreover, there has been an increase in emphasis on early education and grade-level intervention owing to increase in awareness of the importance of early intervention and the role played by early education in determining the performance at latter stages of education. Children who experience and have difficulty in mastering the reading process and skills are at greater risk of academic failure (Cabell, Justice, Zucker,  Kilday, 2009). This relays the importance of development of literacy skills at grade level and the need to ensure that such students catch up with other students. 

Research-based practice in dealing with the challenges that substandard students face has been shown to impact positively on the development of language and reading skills among substandard students. Literacy support services are among the research-based approaches that can be used in ensuring that the reading challenges faced by substandard students are carefully and comprehensively addressed (Cabell, Justice, Zucker,  Kilday, 2009). Various perspectives have been adopted in seeking to determine the impact of literacy support on reading achievement.

Even before the era of the 1965 ESEA, U.S. educators continuously sought strategies to narrow the growing gap in reading proficiencies between U.S. students and their peers in classrooms abroad (Field, Kuczera,  Pont, 2003). These strategies include both those in the general educational environment as well as special literacy support services for substandard readers. American entrepreneur, Jim Rohn, was once quoted as saying, A good objective of leadership is to help those who are doing poorly to do well and to help those who are doing well to do even better (Rohn, 1996, p. 46). Rohn directed his remarks primarily to those in the business community, although this philosophy applies no less to educational leaders as well. In order to help schools reach their ultimate vision, effective educational leaders should understand that tomorrows business leaders are todays students. Gerry Houses view of substandard learners is bleaker 

A stark failure of our education system to prepare all of our children for productive futures  attributable to several factors, among them low expectations, traditional organizational structures and poor instruction, resistance to change, lack of leadership, the shortage of quality teachers and a failure to recognize the remarkable resilience and dreams of even those students who struggle the most. (House, 2005, p. 137)

According to a June 2009 report, over half of all eighth-grade students at one Chicago school did not meet the standards to move on to high school (CBS, 2009). Considering also the significantly below-average performance of U.S. students on the 2006 Programme of International Student Assessments (PISA), Houses comments are perhaps not only grim, but relevant as well (OECD, 2006).

Although U.S. students strive to achieve the level of classroom excellence their future work centers will demand, many of them have difficulty maintaining academic standards in core curricula independently. In these situations, mostif not allpublic schools utilize student support services and academic interventions outside of the regular classroom. Combine these future challenges for todays learners with federal mandates for adequate yearly progress for children academically left behind, and it becomes necessary to establish effective student support programs in key curricular areas. However, even with evidence to support the benefits of student support programs in math and literacy skills, to operate within the constraints of a diminishing budget, DoDEA Headquarters did not approve staffing slots in 2009 for the Pacific Literacy Program (PLP) or the Reading Recovery program (Degalis, 2009).

Reading Recovery has already been recognized as one of the top-rated reading intervention programs the outcome of its elimination has yet to be determined (Slavin et al., 2009). As of the writing of this concept paper, neither program is offered at one intermediate school overseas. Without the added interventions of special support programs such as the PLP, Reading Recovery, or the currently used LSS, it will be unrealistic to expect all students to meet the demands of the American overseas school systems CSP. 

Effects of Planning
Although few studies have been conducted to determine the efficiency of literacy support services in its entirety on reading assessment scores in grade-level education, numerous studies have intended to determine the effects of various aspects of literacy support services on reading development. One of the areas that have been centered on is the effect of pre-planning and post-planning on the efficiency of the literacy support service design adopted. Nearly 35 of reported cases of failure of literacy support services are a result of failure in designing (Sloat, Beswick,  Willms, 2007). The use of backward design where services are continually improved is hindered by lack of teacher skills to effectively redesign and handle the challenges that are associated with this approach. Efficiency in designing a literacy support service program can result in up to a 78 increase in improvement of reading scores recorded by substandard students (Sloat, Beswick,  Willms, 2007).

Diversity
The diversity of the literacy support service has also been analyzed and its impact on reading achievement noted. It is important to note that the individual strategies that are adopted in literacy support services vary a great deal. However, management of diverse literacy support services is complex, which may limit its efficiency. On the other hand, the inclusion of diverse activities for instance play, storytelling, narration, and interaction between students has been shown to be highly effective in maximizing the benefits that substandard students gain from the literacy support services (Sloat, Beswick,  Willms, 2007). Depending on the diversity of the literacy support services, their efficiency can be improved by up to 140 (Gayla, 2008). However, studies have shown that benefits obtained by diversity depend on the grade level being referenced. First-grade and second-grade students benefit more from the diversity of the literacy support service than students in the higher grades in the K-12 range (Gayla, 2008). This phenomenon has been described as being in part a result of the nature of the syllabus where reading development is emphasized in early grade levels whereas the later grades are mainly concerned with application of the reading skills to other subjects.
Another factor that has been posited by researchers as central to this observed phenomenon is the natural development cycle within humans. Language development is at its peak at childhood. Additionally, as children age they tend to be more effective in understanding high-level abstraction concepts. This means students at low grade levels are likely to gain more from interaction and employment of diverse methods in literacy support service than students at higher grades due to their level of development. Another issue that has been highlighted as potentially influential on the differential effects of diversity of the strategies on the efficiency of the literacy support services is the nature of the educational curriculum and general practices in education (Sloat, Beswick,  Willms, 2007). Lower grades are generally associated with the adoption of interactive systems to learning thus, lower grade teachers are more effective in developing and designing diverse literacy support services. On the other hand, learning at higher grades tends to be individualized with emphasis on structured group interaction or team work. This reduces the efficiency with which higher grade teachers can coordinate and manage the various strategies if diversity is adopted.

Assessment
Another area that has been pinpointed as influential on the efficiency displayed by literacy support services is the approaches used in their assessment. Assessment of the programs should be a continuous process and starts with setting clear goals and strategies that are aimed at ensuring that these goals are met (Craig, Lingling, Hensel,  Quinn, 2009). Goal setting as a critical requirement in long-term and short-term planning plays a vital role in justifying the time and material resources that are directed to literacy support services. This is important in ensuring that school management and other educational stakeholders develop appreciation and therefore support the inclusion of literacy support services in the curricula. However, assessment is more than just goal setting and has been noted as one of the key challenges in not only designing the programs but also in their implementation. There has been a continuous debate on whether students with special needs or reduced ability should be assessed under a similar framework as students with normal ability. The use of different frameworks has been painted unfair in the highly competitive educational environment because whether a child has special needs is basically determined subjectively by teachers and all students seek employment opportunities from the same environment. In designing the program teachers face challenges mainly due to their lack of competence in designing effective evaluation systems that would ensure that intangible benefits that result from the literacy support services are accurately perceived (Bailey  Drummond, 2006). It is noteworthy that a large proportion of the benefits that result from the literacy support services are intangible and cannot be easily conceptualized even with the use of standardized tests. The failure to read may result from shyness and other factors that may not necessarily be due to a students cognitive abilities improvement in such areas cannot be easily articulated under the assessments systems that are developed by teachers, which undermines the perception that is developed of literacy support services and may be influential on the support that it receives from educational stakeholders (Craig, Lingling, Hensel,  Quinn, 2009).
Use of standardized means (e.g., employing the aid of organizations like the literacy support system) is one of the avenues that schools can use to ensure that they develop literacy support systems that are well evaluated. Proper evaluation enables standardization as one of the avenues that schools have in ensuring that the literacy support systems are well assessed. However, this issue has been approached differently by other specialists who believe standardization and certification create a negative impact on the levels of flexibility that can be afforded by individual schools in developing their literacy support services and programs (Gyovai, Cartledge, Kourea, Yurick,  Gibson, 2009). In essence, the need for individualized considerations in developing the literacy support services is posited as limiting the efficiency that can be attained in using standardization because it limits flexibility in ensuring that individual students needs are accurately addressed. However, the impact of this latter aspect on the efficiency of the literacy support services has not been researched, which presents an area that researchers must focus on in determining the new approaches that should be taken in literacy support services.

Management
Management is highly influential on value generation within organizations. This importance is also projected in the efficiency with which reading development is attained with the aid of well-managed literacy support programs. A key factor that is deterministic of the effect that schools management has on the efficiencies of the literacy support systems is their perception. A management that appreciates and understands the need for literacy support services improves the efficiency of such programs by a factor of up to 1.63 (Edmonds, ODonoghue, Spano,  Algozzine, 2009). This is a value obtained after other factors that may affect the efficiency of the literacy support programs were held constant. Moreover, a negative perception has a boosting factor that is less than one (Edmonds, ODonoghue, Spano,  Algozzine, 2009). This implies that it has a negative effect on the level of efficiency that can be attained in ensuring that the goals of the literacy support services are attained.
Numerous theories have been developed to try and formulate an understanding of the effects of the perceptions held by schools management in determining the success of the literacy support programs. One of the hypotheses is developed from the motivational role of leadership, which is one of the key roles in management. Poor perception is generally associated with display of negative attitude, which greatly affects the level of motivation that teachers display in designing the literacy support services (Craig, Lingling, Hensel,  Quinn, 2009). The result in such a case can only be reduced performance and in some cases complete failure. Another approach through which poor perceptions by the management may affect literacy support services is through resource allocation. In general resource allocation is dependent on the perceptions that a management team has of the importance of a literacy support program. Poor perception is therefore highly correlated (0.65) with low resource allocation, which negatively impacts the efficiency of literacy services (Bauer, 2009).

Relevance to Inclusion Settings
In recent times there has been an increased awareness of the benefits that can be obtained in using inclusion settings to cater for special needs or substandard students. Studies show significant improvement in reading scores recorded by both normal and substandard students subjected to literacy support services. A study that sought to determine if there is any difference in benefits from literacy support services showed that though the substandard student gained more than normal students as a result of literacy support services the difference in gains was statistically insignificant. Moreover, the gains under inclusive settings were significantly greater than the reading gains under seclusion (Edmonds, ODonoghue, Spano,  Algozzine, 2009). This has been identified as being primarily a result of the effect of interaction between students with varying language ability on the development of language skills in those students that are slow under inclusive and highly interactive settings.

Controversiestc Opposing research f C l 2
    Although it would be difficult to find any dissenting perspectives on the value of added academic support for substandard students, opinions differ among researchers and scholars regarding which support services are the most effective. In a 2006 study by Lauer, Akiba, Wilkerson, Apthorp, Snow, and Martin-Glenn, the benefits of such programs are cautiously supported, but in a setting outside of the school time required by attendance (Lauer et al., 2006). The support services mentioned in this learners study are those that occur during the school day. Al Hazza and Gupta also discuss the advantages of using volunteer tutors to promote gains in student performance but with training for the tutors prior to the delivery of such services (Al Hazza  Gupta, 2006, p. 15). At the intermediate school, no such training is provided for student mentors although this practice does not preclude the addition of checklists as suggested by such opposing perspectives.

Monitoring Student Achievement
tc Monitoring student achievement f C l 2tc Monitoring student achievement f C l 2
In 2008, the new director of the overseas American school system established an initiative to reconsider how scores on the system-wide TerraNova Multiple Assessments were analyzed. According to the overseas American school systems Community Strategic Plan (CSP), 75 of students are expected to score in the top two quartiles (51  99) of students scores across the United States while no more than 7 of students should score in the bottom quartile (1  25). Prior to the directors tenure, there had been no consideration for students who scored in the third quartile (26  50).
 In a November 2008 memorandum, the director instructed all district superintendents to task their schools to develop an intervention for students who scored in the third quartile particularly, but not exclusively in math and reading (DoDEA, 2008). Fore, Hagan-Burke, Burke, Boon, and Smith (2008) also discussed identifying and placing substandard students in learning environments appropriate for their specific learning disabilities. In response to this directive, the intermediate school turned to the military community for volunteer tutors to assist substandard students in reading who were not currently receiving any other student support services. Pullen, Lane, and Monaghan researched the effects of volunteer tutor support for substandard first graders. Their study suggests reading tutor support can result in increased comprehension and fluency for substandard readers (Pullen et al., 2004). Although the results of the Fore et al. (2008) study showed no statistical evidence to suggest student placement as a definitively effective intervention, this study and the directors third-quartile initiative are examples of continuing research of the interventions substandard students require for success.

Gaps in the Research
In general few researchers directly seek to determine the effect of literacy support services on reading achievement at grade levels. Even fewer have conducted research specifically on the American overseas school systems LSS program and the impact on meeting the systems reading standards. Although a general consensus exists that literacy support services can potentially impact positively on grade-level students reading and literacy scores (Kamps  Greenwood, 2005, p. 503), without data to support the LSS programs benefits, the school system with its data-driven endeavors may discontinue LSS and what little remains of the reading support programs in favor of funding on programs that are data supported.  

Summary
Among the trends of U.S. public education at the time, the commissioned panel who authored the 1983 report, A Nation at Risk, found that time spent in the classroom and on homework is often used ineffectively and schools are not doing enough to help students develop either the study skills required to use time well or the willingness to spend more time on school work (DOE, 1983, p. 6). Recent literature reviews of student support interventions continue to call for reforms in interceptive services for students who perform below the standard although no single model has yet been identified as most effective. In summary, under the current studies it is apparent that literacy support services are highly influential on literacy levels of both substandard performers and average students. However, the effect that the literacy support services have on students wanes as they progress up the K-12 system and is largely dependent on the design and implementation of the associated programs (Kane  Greenwood, p. 504). The American overseas school system has a need for data specific to the school system and LSS program to support the continuation of the LSS program. Yet no preexisting studies have compared the school systems SRI and TerraNova scores for third through fifth graders after one year of LSS and no LSS services.  Data analyzed from SRI and TerraNova will play a key role in determining the impact and ultimate continuance of LSS for American overseas school system students.

Research Method
    Using the SRI as the primary data collection instrument, this study will utilize a quantitative experimental ex post facto method to compare the rate of reading gains between LSS students and those who receive only general education interventions. Because the variables and the constructs used to measure them (Table 1) have been identified in advance, a quantitative design will be the most effective method to compare the gains in the test scores between control and subgroups.  If constructed properly, this type of study should eliminate some of the external factors influencing both groups in order to minimize any bias (Gall, 2007, p.33).
Operational definition of variables

Lexile Score. This dependent variable refers to pre-defined levels of performance on the SRI of 500 for third-grade students, 600 for fourth-grade students, and 700 for fifth-grade students according to the Scholastic Reading Inventory (AEIS, 2009).
Literacy Support Services. This independent variable is services (including Read 180) for students performing below the 50th percentile on the TerraNova reading and language subtests, but higher than the 10th percentile, which is a possible indicator of a need for special education services (AEIS, 2009).

READ 180. READ 180 is an independent variable in this study developed by the Scholastic corporation as a comprehensive reading intervention program for fourth through twelfth grade students reading below proficiency levels. READ 180s design of independent, small group and whole group instruction is aligned with findings from research of effective reading interventions including decoding skills to reading comprehension strategies (Mayer et al., 2006).

Data Collectiontc Data Collection f l 2tc Data Collection f C l 2
    The American overseas school system will require advanced approval prior to accessing any student data for this study. Preliminary investigation in this matter suggests a high level of confidence this request will be approved. As chairperson for the intermediate school improvement program, this learner can confirm the required SRI data already exists across each grade level. Because the data are currently used for school improvement reporting purposes only, it will be necessary to secure approval to use this data for research as well. The SRI and TerraNova assessment scores will be the only instrument by which data are collected for this study. Therefore, a list of students who are receiving LSS services and access to SRI and TerraNova scores for all students in third through fifth grades will be requested.

Data Analysis
tc Data Analysis f C l 2tc Data Analysis f C l 2
    Because the data are derived from predetermined instrument based questions, performance data, and statistical analysis (Creswell, 2009, p. 17), a quantitative research method will be applied. The results from the SRI and TerraNova assessments have already been disaggregated by grade levels third through fifth. The data will be analyzed using the Statistical Package for the Social Sciences (SPSS) software, with participants in the 3rd, 4th, and 5th grades assigned according to those identified as substandard performers (LSS students) or otherwise not identified for reading interventions (non LSS students) .

    The operational levels of the variables and the research questions to be addressed by statistical analysis are specified in Table 1
Table 1 Operational level of the variables and the research questions
Dependent variableIndependent variablesResearch questions to be addressedGain in the SRI score in one year (between 2008 and 2009)Instruction method LSS or non-LSS

Grade 3rd, 4th, and 5th gradeHow does the rate of growth in reading comprehension, as measured by SRI scores, significantly compare between students who receive LSS and their peers who do not receive LSS
Mean TerraNova 2nd subtest score
(2009 only)Instruction method LSS or non-LSS

Grade 3rd, 4th, and 5th gradeHow do LSS students perform on the TerraNova 2nd edition reading subtest as compared to non-LSS studentsUnder the  proposed null hypothesis the gain in the SRI score in one year between 2008 and 2009 for the LSS students will be the same (or less than) that of the non-LSS students in the 3rd, 4th, and 5th grades (illustrated by the conceptual model in Figure 1).

Under the proposed alternative hypothesis, the gain in the SRI score in one year between 2008 and 2009 will be greater for the LSS students than the non-LSS students in the 3rd, 4th, and 5th grades (illustrated by the conceptual model in Figure 2).

ANOVA is not appropriate to test the hypotheses because the relationship between the dependent variable (Gain in SRI score) and the independent variable (Instruction method) is confounded by a covariate (Grade). Analysis of covariance (ANCOVA) which is a combination of Analysis of Variance (ANOVA) and regression analysis will be used since ANCOVA is the most appropriate method for comparing mean values when a dependent variable and an independent variable are confounded by a covariate (Field, 2009). The null hypothesis of ANCOVA is that the slopes of the two regression lines (depicted conceptually in Figure 1) are equal. The alternative hypothesis is that the slopes of the two regression lines (depicted conceptually in Figure 2) are not equal. The decision rule will be to reject the null hypothesis if the p value of the F statistic to compare the regression slopes is  .05. ANCOVA assumes that the residuals (the differences between the observed scores and the mean scores) are normally distributed. This assumption will be checked using the Kolmogorov-Smirnov test for normality, which is supported by SPSS (Field, 2009).  ANCOVA also assumes that the variances in the scores for each group are equal. This assumption will be checked using Levenes test, which is also supported by SPSS (Field, 2009).  If the raw scores violate the theoretical assumptions of ANCOVA then appropriate data transformations (e.g., square roots, powers, or logarithms) may be necessary.

    Under the proposed null hypothesis the mean TerraNova 2nd subtest score for the LSS students in 2009 will be the same (or less than) that of the non-LSS students in the 3rd, 4th, and 5th grades (illustrated by the conceptual model in Figure 3). Under the proposed alternative hypothesis the mean TerraNova 2nd subtest score of the LSS students in 2009 will be greater than that of the non-LSS students in the 3rd, 4th, and 5th grades (illustrated by the conceptual model in Figure 4).

Multiple independent sample t tests could potentially be used to compare the mean TerraNova scores between the LSS and non-LSS students with respect to each of the three grades however the use of multiple hypothesis tests would increase the probability of Type I errors (falsely rejecting the null hypotheses when they are, in fact, true) and would also preclude the analysis of interactions between the independent variables. Since there are two independent variables in this study (Table 1) the most appropriate method to analyze the data is two-way analysis of variance (ANOVA). The advantage of ANOVA in preference to multiple t tests is that the probability of Type I errors is reduced, and the analysis of interactions between independent variables is permitted (Field, 2009). If there is no interaction, then the mean TerraNova scores will increase consistently between the 3rd, 4th, and 5th grades in both the LSS and non-LSS students. If interaction occurs, then the changes in the TerraNova scores between the 3rd, 4th, and 5th the grades will not vary consistently with respect to the two instruction methods. The decision rule of ANOVA will be to reject the null hypotheses of no differences between the mean scores, and no interactions between the independent variables if the p values of the F statistics are  .05. ANOVA assumes that the residuals (the differences between the observed scores and the mean scores) are normally distributed, and the variances in the scores for each group are equal.  These assumptions will be checked by SPSS using the Kolmogorov-Smirnov test for normality and Levenes test for equality of variance (Field, 2009).  If the raw scores violate the theoretical assumptions of ANOVA then appropriate data transformations (e.g., square roots, powers, or logarithms) may be necessary.

    A power analysis is applied to identify the appropriate sample size for groups (Creswell, 2009, p. 165). Statistical power is the probability of correctly rejecting a false null hypothesis, and a power of 0.8 is the conventionally accepted minimum level. Cohen (1992) published guidelines to compute the appropriate sample sizes to perform various statistical hypothesis tests with respect to different significance levels and effect sizes.   At a significance level of .05 and a power level of 0.8 Cohen computed that the required sample size per group to perform ANOVA varies with respect to the number of groups and the effect sizes (Table 2).

Cohen (p. 157) considered a small effect size accounts for about 10 of the variance, a medium effect about 25, and a large effect about 40. Assuming the effect size between the two groups of students (LSS and non LSS) in this study will be medium then the required sample size in each group (according to Table 2) should be 64 and the total sample size should be 2 x 64  128 students. Since the target population is known to consist of about 540 students, of which about 90 are LSS students, it will be possible to select 64 LSS and 64 non LSS students to achieve the necessary power for statistical analysis however, since it is not known in advance what the effect size will be, the results of the power analysis are compromised. If the effect size turns out to be small then a sample size of 64 students in each group may be insufficient.

Limitations of the Study

    There were a few potential threats to the internal validity of this study i.e., the extent to which the observed differences in the dependent variable could be directly related to the known intervention, and not to some other unknown or uncontrolled variable(s). These threats included the history effect, instrument decay, the Hawthorne effect, and mortality (Fraenkel  Wallen, 2007). The history effect is the possibility that some event happened before the intervention that prejudiced the scores of the participants.

The history effect was a potential threat to the internal validity of this study, since the 2008-2009 school years brought several changes to the intermediate schools educational services. First, since its opening in the mid 1970s to the 2007-2008 school years, the intermediate school has served fourth through sixth intermediate grade students. The intermediate school is one of two intermediate schools in overseas military school system, the other being in Germany (DoDEA, 2009). Beginning with the 2008-2009 school year, in an effort to consistently align middle and high school grade levels to sixth through eighth, and ninth through twelfth respectively, the Okinawan Intermediate School and German Intermediate School were converted from fourth through sixth grades, to third through fifth. This conversion required fifth and sixth-grade students to advance to middle school at the end of the 2007-2008 school year leaving only fourth grade students to return for the 2008-2009 school year.  Therefore, for example comparing 2008 sixth grade to 2009 sixth grade is no longer possible.

    Instrument decay refers to changes in the test instruments that may influence the results. The inability to compare the scores from the TerraNova 3rd edition Multiple Assessments to the TerraNova 2nd edition was a form of instrument decay that posed a threat to the validity of this study.  From 2002 through 2007, American overseas school system students were administered the TerraNova 2nd edition. During the 2008-2009 school years, the TerraNova 3rd edition was administered for the first time. Consequently, the conversion from the 2nd to the 3rd edition was a limitation to this study, since the 2008 TerraNova scores could not be compared to 2009 TerraNova scores. Only the 2009 TerraNova scores of the different groups of students could be statistically compared.

    The Hawthorne effect was coined following the results of a survey at the Hawthorne Works (a manufacturing facility) which concluded that participants significantly improved their productivity simply as a result of feeling that they were part of an important experiment, but not directly because of the experimental intervention itself. Consequently, immediately after the experiment was over, productivity slumped. The term is now used to describe any short term reaction of participants to an intervention. The Hawthorne effect is taken into account by comparison of the responses of an experimental group (exposed to an intervention, such as the LSS students) with those of a control group (from whom the intervention is withheld, such as the non LSS students) as proposed in this study.

    Mortality refers to the loss of participants during the term of a longitudinal study. Mortality is a validity issue only if the lost participants represent a distinct group who intentionally did not respond to the instrument for a particular reason, and whose scores are expected to be very different to those who continued to participate.  Although a few students may have dropped out of school between 2008 and 2009 mortality is not considered to be a serious threat to the validity of the proposed study.
Ethical Assurancestc Ethical Assurances f C l 1tc Ethical Assurances f  l 1tc Ethical Assurances f C l 1

Although this study will not involve human subject participation, there are still ethical considerations that must be observed when handling student data. The 1979 Belmont report addressed three ethical precepts that must be addressed prior to the commencement of this or any study involving human subject-derived data. These precepts are respect for persons, beneficence, and justice (U.S. Department of Health, Education, Welfare, 1979). Additionally, the American Psychological Association (APA) has established five principals of ethical assurances which this writer will strive to the utmost to uphold. These principals are beneficence and non-malevolence, fidelity and responsibility, integrity, justice, and respect for peoples rights and dignity (APA, 2009). Because this research will not require direct contact with human participants, no consent will be required. This does not eliminate the need to ensure student test data are protected via secure password-protected computer systems. Thus every precaution mandated by DoDEA and the Department of Health, Education and Welfare, and the Family Educational Rights and Privacy Act Regulations (FERPA) will be observed.

Beneficence and non-malevolence

As mentioned numerous times, this study will not involve any human contact and does not pose any risk of or any unethical techniques. In studies that would involve human subjects, the APA suggests researchers must seek to safeguard the welfare and rights of those with whom they interact professionally and other affected persons, and the welfare of animal subjects of research (APA, 2009). Maintaining these assurances will assist in setting the overarching tone of positive ethical practices throughout the study.
Fidelity and responsibility

APA suggests the researcher should exercise fidelity and responsibility by being aware of their professional and scientific responsibilities to society and to the specific communities in which they work (APA, 2009). Although there are no specific commitments required to any individuals, this writer will ensure all promises are kept and to avoid unclear commitments. There will be no situations in which justifiable deceptions are required or unethical research techniques (APA, 2009).
 Integrity

As suggested by the APA, this study will not engage in fraud, subterfuge, or intentional misrepresentation of fact (APA, 2009). As this study requires only collection of student test scores and will not address specific students, there is little risk of a violation of integrity toward individuals. This does not preclude the need to protect the integrity of professionals assisting in this study.
Justice

The APA (2009) requires justice in research. Justice is a lack of bias. Because this is a quantitative study, there will be no bias in the reported results and thus, every element of justice is ensured. For the same reason, it will be easy to exercise reasonable judgment and equality when analyzing student test scores. Finally, the results will be accurately reported to all institutions involved to ensure honesty.
Respect for peoples rights and dignity

The final APA principal is respect for peoples rights and dignity (APA, 2009). As an educator, this writer makes every effort to ensure student safety. As a researcher the same precautions will also be taken to ensure all rights and dignities are protected. Once again, this writers study of the value of LSS will not involve direct contact with actual people so the risk of violating such rights and dignities are negligible. Additionally, student test score data will remain anonymous to ensure privacy.

Adult literacy practices
Majority of the students in the literacy support programs have struggled to read once in awhile in their life time. This applies to those who are between grade four and twelve. Majority of them are not adequately prepared to read new and unfamiliar words neither can they try to figure out their meaning. For those who can read, they do it but would not comprehend what exactly it means. In some cases students are able to read certain words, but when asked to write them, they are not in a position to do that. The problem may even be more complex for students who are at a higher level of schooling. Reading is aimed at improving understanding. This can only achieved by learning from the written word. Its of great important to come up with programs that adequately promote this goal. Its necessary that schools create an environment that is conducive to support the students in attaining hisher goal, which is to understand what heshe reads. Majority of the literacy support programs put in place tend to favour the younger learner and ignoring the older students who have difficulties in reading. There is an assumption that older students should be better placed to learn reading by hisher initiative. With this in mind, programs have been put in place to address adult education. This has gained popularity and it has high demand.  There is a paradigm shift, from focusing mainly to younger students to trying to balance between the two groups. Research is continuously being done to provide teachers with necessary resources and opportunities to aid struggling student at all levels of learning. The efforts should be moved to other parts. This is a good sign of things to come. This paper is aimed at assisting all the stakeholders in the education sector with necessary skills to deal with both the young and older students. Adults need proper reading skills to aid them attain a productive future.  The adolescent reading mentioned in this paper refers to a group of students who are between grade four and 12th. Early reading on the other hand refers to reading that occurs in kindergarten and normally ends in third grade.

Essentials of reading components
There are about five areas of reading essentials that are necessary when coming up with literacy support programs. Each of these areas equally contributes immensely in the reading process. These areas include

Phonemic awareness  this involves students being made to hear sounds that make up words. Wiley Blevins (1997) maintains that, phonemic awareness is the understanding that words are made up of sounds. It is also the ability to pick out and manipulate sound in spoken words (p.4). Its referred to as the auditory process. Students at this stage of the literacy support program are able to identify words that rhyme, putting words or syllables together to come up with word, and another important skill is to break a word into syllables. This is an important step for students learning to read.

Phonics- this stage is important in making students understand that words are made up letters, this letters can be recognized by certain sounds. This is important for learner to read and spell words. They should understand patterns of words that represent words.

Fluency- this is the ability to without struggling to pronounce words. This should be done effortlessly and automatically. Words are easily recognized by students. It is important to be fluent because this is the only way that a link can be created between word recognition and its understanding. The reader should recognize the words and what exactly those words mean within a very short time. Being fluent does not necessarily mean that comprehension is guaranteed, but without fluency, it is very difficult to comprehend anything. It would be boring when a reader constantly stops to try to understand what every word means. Zvia Breznitz (2005) says that, a child that encounters the printed materials at the initial stages of reading acquisition deciphers the text in a non automatic manner while ignoring punctuation marks which exhibiting monotonous expression (p.1). This would lead in meaning of the text. This makes the process long and tiring. Fluent students are able to channel their energy in trying to improve comprehension.

Vocabulary- in literacy support programs, vocabulary these are a set of words that are known to a person in a certain language. This involves comprehending and properly using words while making speech or writing down. Every area has specific words that are used. This passing of time, this vocabulary expands. This is because people learn more words on that specific language. It can therefore be inferred that more words one knows the better he knows the language. Prober understanding of the vocabulary is important because it aids in expressing and proper communication and one may be judged according to her vocabulary.

Comprehension- literacy support programs emphasize the ability to grasp something and understand facts. Reading is aimed at assisting the reader to decipher the meaning in the written word. It is important to help him make proper judgment considering any misunderstanding. This is process that is complex and should be properly dealt with. For proper comprehension to be achieved, it is important to realize that reading makes sense, knowledge already held by users is important, the ideas that the text is addressing and use and of words putting them in context.


Reading instructions
Slight differences exist between instructions for the younger readers and those of the older ones. Literacy support programs provide that the instructions can be broken down into five categories. These broad categories are
word study
fluency
vocabulary
comprehension and

Motivation.
Its not necessary for older readers to be made to go through the elementary stages of learning how to read. A few of them however may benefit from fundamentals of readings. The older students have a range of skills that makes it not necessary for them not to go through the fundamental stages of reading. Each of the components above is well explained in the paragraphs that follow.

Word study
This is an opportunity that students have to manipulate words. This poses a great challenge for students. Whenever students see anew word, they are supposed to look at it and try to figure out if they know anything about the word and if there is anything that can assist them read the word well. Word study focuses on reading at word level. It assists students read words more efficiently and effectively hence making herhis understanding of issues very easy. Different students have different needs, this is unlike the common systems that lumps students together according to grade and ignoring a very important aspect that, every student has hisher special need. Word study would be most effective for older students who experience problems reading. This should be done regardless of her grade.

It important for readers to understand the relationship between letters, letter patterns and sounds associated with them. With this knowledge, they are able to unravel meaning in difficult words during the reading process. The reading process involves breaking words down into small but meaningful sections that would aid them comprehend the words. Table below explains the concept
Successful ReadersStruggling Readers Read multisyllabic words and use strategies to figure out unknown words.

Make connections between letter patterns and sounds and use this understanding to read words.
Break unknown words into syllables during reading.
Use word analysis strategies to break difficult or long words into meaningful parts such as inflectional endings, prefixes, suffixes, and roots.May read single-syllable words effortlessly but have difficulty decoding longer multisyllabic words.
May lack knowledge of the ways in which sounds map to print.
Have difficulty breaking words into syllables.
Often do not use word analysis strategies to break words into syllables.Adapted from Bhattacharya  Ehri, 2004 Nagy, Berninger,  Abbott, 2006
With proper understanding of word study, students are able to create syllables from words, and reading words by bringing the syllables together. This would ensure success of literacy support programs. Another concept that they are able to learn is analyzing words by meaning and its structure. Long and difficult words are broken down into smaller units that they know. The recommended ways of teaching students are
Students should be taught to identify syllables and break them into smaller parts.
Teach students how to understand complex words by bring the known parts of syllables together.
They should be taught to learn words that do not have any pattern.
Students should use structural analysis to create meaning in words.
Fluency

Fluent readers have mastered the art of reading words continuously without repetition. They read words automatically and they put words together in a way that would enhance understanding. This is important during word reading and when understanding is necessary. Fluent readers have more time to understand the meaning of the word because they have the ability to identify a word by just seeing it. Fluency can best be improved by frequent reading of words. This creates familiarity with the words. Slow readers are not doing well because they do not read more frequently.

Vocabulary
For overall academic success and proper comprehension, it is of great importance to understand meaning of words. With proper understanding of words, and proper mechanisms to decipher the unknown words, there is no reason why students would fail to understand the content of the text they are reading. Students have to understand that words may at times have more than one meaning. Depending with the circumstances, words may mean different things at different times. It is obvious that struggling readers know very few words compared to those who can read well. This is attained because good reader read widely and more frequently. By so doing, they are able to learn so many words. On the other hand, poor readers read less as a result they are exposed to very few words. The result of this is that they fail to be accomplished readers. Words are not only learnt through reading, they can also be learnt through, good conversations, experience. Developing word consciousness is as a result of proper vocabulary teaching that has been undertaken. Deep knowledge of words is paramount in this process.

Comprehension
There are so many reasons for reading. These purposes include, reading to learn, enjoyment and obtain information. Learning requires that the reader should be able to comprehend and recall what been read.

It is important to monitor comprehension while reading. The reader must ask hisher self questions while reading.  It is normal to read through text even for experienced readers only to find out they did not understand anything. When this occurs, a good reader is advised to stop reading and try to remind hisher self what heshe has so far read. This is called recalling. If there is nothing heshe can remember, it is useless to continue reading because it amounts to time wasting. No value addition is taking place. For struggling readers this is difficult because they dont have sufficient skills necessary to determine if they understand anything. It is not easy for them to monitor their comprehension.
Many instructors expect their students to use the above skills while tackling comprehension issues but they do not adequately address and teach their students how to use the skill. Students may be asked by their teacher to highlight the main issues in a passage without actually telling them how they can do it. This amounts to expecting too much from the students. Students require adequate preparation to perform their tasks properly. Comprehension would then be easy.

It is important for teachers to focus on assisting students on reading and understanding passage. This is the only way they can assist understanding in all other area. Students will record an increased ability in reading if proper strategies are given to them. Teaching students to have proper reading skills will make them better readers. These readers will reduce literacy levels.

Students have prior knowledge about certain topics. It is called prior knowledge. For proper understanding of the unknown, it is important for learners to activate this knowledge. It assists them by creating a missing link between many tasks. This prior knowledge is not readily accessible for struggling students. They are not able to access facts to aid in proper decision making.

Graphic organizers
These are visual aids that assist students to pick out, organize, and recall main ideas that are important in the text that they had just read. The examples of visuals aids are concept maps, Venn diagrams etc. They may be used before an introduction of the topics. This is used to assist students remember anything that they may know about the topic. They may assist them to guess what the subject in discussion may all be about. These diagrams are used during reading to prove right or wrong predictions that had earlier been made. Information deemed important is therefore recorded. After the reading process, the graphics may be used to write summaries, and to make any forms of correlations that exist between facts.

Summary writing skills
When reading a large amount of information, it is important to consolidate it into smaller chunks that make sense to the people reading it. Only important elements of the text are highlighted, less important parts are ignored. The following steps are important in trying to come up with good summary

Students should be made to start by summarizing smaller bits of work before larger parts are introduced. They can start by one paragraph then move to two paragraph, then with time we can move to one page and finally whole chapter. This is actually meant to give them endurance to handle larger jobs and build confidence in them.

Its important to use one that group together many teams. This would reduce the number of words that may be used if the process of writing. There are words that may be used in place in place of many words. This reduces the number of words used and still maintains the meaning initially intended to contain.

Information that is trivial should be eliminated. It is important to carry only item and ideas that carry weight. Picking trivial issues is likely to cause repetition. This would make the work shorter. These issues can be picked from the main ideas found in rest of the text. The main aim of summary writing is to high main ideas without losing the original meaning.

Proof reading the work after writing it to ensure that it makes senses is important. Summaries that make sense are necessary. Writing summary and leaving out some concepts is not good practice. It is possible to write summary that would not make sense at all. This is because the main ideas are not captured in the summary. Another reason that would make summaries not to make sense is the lack of links between the ideas that are being communicated in the passage. It dilutes the whole passage.

Asking and answering question
Students should learn to ask themselves questions about what they have read. After this, they should try to answer these questions more accurately. To support understanding, students should ask questions before, during and after reading the text. This practice can be done by
Students should be taught to ask specific type of questions. Some of the questions may have their answers in the text.

Question generation should be used as a strategy to improve reading. By so doing, they are able to read a piece of writing trying to find solution to specific questions they have in mind. This enhances understanding.

Students should have proper strategy to answer teacher generated questions. Students should find out if the answers are found in the text or if they are to be concluded. There are some questions that would require that the readers look at the text to find answers. On the other hand, some questions require that students have to read and make their own inferences.


Motivation
Readers should be given texts to read to that gives them the need and drive to continue reading. This is important to ensure that heshe does not shift focus. Lack of focus makes students reading very little. They would have to struggle to comprehend what the text means. With proper interest, its easy to understand the text. It makes reading enjoyable. This therefore explains why those who enjoy reading will always keep reading. This continued reading improves the skill at the end of the end. Struggling students do not read for pleasure. They normally read for examinations or when they are asked to. They do not have the initiative to do it on their own. This would make it embarrassing for their weaknesses to be exposed in public. They would want to hide it all cost. This reduces people as self esteems.

In the table below we summarize features of successful and poor readers.

Successful readersStruggling readersInteract with text in a motivated and strategic way.
Have improved comprehension and reading outcomes when engaged with text.
Read more and thus have more access to a variety of topics and text types.
Are interested and curious about topics and content in texts and read to find out more.May engage in reading as a passive process without giving effortful attention to activating prior knowledge, using reading strategies, or employing other strategic thought processes.
Often have low comprehension of text.

Fail to access a variety of wide reading opportunities. Given the choice, prefer not to read.
May not be interested in or curious about exploring topics or content through reading.
 Students should be given the freedom to choose what they want to read, who they would want to read together with. This gives them more motivation to continue doing it. Putting them in groups that they do not like may likely reduce the learning process. 
This can be made better by doing the following

Giving students freedom to choose what they want to read. This is by offering a list of what they can choose from. They can choose their own literature develop ways that can improve their understanding.

Let students have control over aspects of the job that they are doing. This includes deciding where to work from, subjects to study, etc.

Selections of partners, groups should be entirely left to them. They should decide partners they can blend well this. This is the only way to maximize the learning process. Forcing them into groups may make them not realize their full potential.

Students enjoy reading what they find to be interesting. They would do it even outside class if they enjoy it. Our brains work in a way that, it always remembers things that are interesting rather than those that are not. There are guidelines that are of great importance for students and teachers to decide the interesting the materials to use. These guidelines are 

Choose topics that students have knowledge on. Having knowledge on certain topic makes the text more interesting and it boosts confidence. Its however important that students are provided with literature that is not familiar. This provides an opportunity for learning. This is not meant to discourage new learning but ensure that students enjoy what they are reading and at the same time they are learning new time.

Visually pleasing texts are interesting and motivates students. Text should be of high quality.

Mathematics Education Pedagogy for transfer of learning from school to the work place

The expectations of the global work place on Mathematics are increasing. As technological elements advance, living processes are done in a faster manner thereby dimensions in calculations geometrically progress and develop. A big chunk of these expectations rest on schools. The transfer of learning is from school to workplace is pivotal in making an individual productive to his community. This study will focus on discussing that a mix of learning pedagogies will help the transfer of learning

The first teachers
The millennium child is born with a computer, internet, an email address, an iPod, cellphones, a flickr photo album and electronic playstations. His learning with Barney the Purple Cartoon becomes his foundation for his stock knowledge.

The television is part of a childs everyday life. Studies show that children aged two and below watch television. In fact, twenty-six percent of US children younger than age two have TV in their bedrooms - often watched from the crib, and 36 percent of families leave the TV on almost all of the time, even when no one is watching, according to a 2000 Kaiser Family Foundation study. (Lotus, 2010) This means that one of four children, still inside their cribs access the television and learn from it.

Decades ago, it was Sesame Streets Count Dracula who taught the kids how to count amidst lightning and thunders. But now, there are a hundred kids channels to choose from. From these first teachers, the child becomes a student and later on a worker in a fast paced global workplace where the abacus is totally out of the picture.

The work place as an extension of the classroom
Human resource agents prefer workers who have high learning curves. Not all things are learned inside the classroom. Once out of the universities, bosses, supervisors, mentors become the new professors. Continuous training is given from management down to employees. The employees are scored, assessed and evaluated. These trainings are included when deliberating about who keeps their jobs, and who has to go, who gets a raise or who stays in place. Therefore, an employee who has the ability to learn is an ideal employee when it comes to the training component. Teaching learning how to learn is the root mission of universities. In terms of transfer of learning, this is one of the crucial skills that a student has to master if they plan to contribute value to the bigger economic, social and political community.

Universities are crucial in preparing students to meet social expectations. Transfer of learning from the university to the workplace must meet community expectations. What is learning for if students cannot contribute value to the workplace (Haskell, 2000) Different factors affect transfer of learning. Transfer of learning is a challenge to universities, students and faculty. Transfer of learning is also a concern of the community. It takes a community to mold a child. Especially for mathematics, when everyone starting from the parents gives the child a scare about the subject, the community, the challenge of Math is more crucial because math is the language of inquiry. Math is a secondary concept and therefore is 95 intelligent learning. Transfer of math concepts from the schools to the workplace is a challenge because Math is a challenge by itself.

The workplace, no matter how small, is full of math concepts, calculations, miscalculations, budgeting, money exchange, abstractions, and other mathematical paradigms. The flattened world never sleeps in terms of breaking speed, optimizing resources, minimizing waste, calculating body mass index and stretching the twenty-four hour clocks. Math is a language of science and if science spells life, Math is life. Such is the expectations on a person when he computes his taxes, when he budgets his limited resource and when he computes his dreams and accomplishments. How well his school equips him with the faculties of Math can make or break his ambitions, being the person he can really be.

A research on the need for young people to engage into mathematical literacy skills has been done by Hoyles in 2003. In agreement with other recent studies, the research concludes that the country needs to rethink and look to upgrade mathematics provision for young people and to ensure that people have access to additional provision over their lifetimes. The research findings identify the central importance of what is termed mathematical literacy and it is argued that mathematical literacy represents a major skills gap in the present workforce. (Hoyles, 2003)

Objectives of the study
The paper is a discussion on the different position of theories on transfer of learning. Transfer of learning is the ability of student to use his school learning in the workplace. Transfer of learning is the process by which knowledge, skills and attitude help the student reach his desired career and quality of life after studying college.

Teaching theories affect the students confidence and competence in solving problems related to their work. Different teaching pedagogies approach the topic of transfer of learning in different ways. As society defines and redefines its learning styles, teachers gather strategies from these different teaching theories. Different learners adapt to these theories adjusting their learning styles to accommodate the learning goals.

The goal of all these pedagogies is for the most efficient and effective style of teaching to be partnered with the learning style of the student in order for the target learning to be taught. Retention is important in learning also. The higher the retention of the learning, the more chances that the transfer of learning will become effective.

The paper will also discuss issues related to transfer of learning its characteristics, instructional and learning strategies that promote or hinder it, role of technology on its development and its implications on current educational practices. These issues arise due to increasing realization that graduates are not entirely ready to take on the tasks that await them in the work place. They may have mastered concepts. They may have answered assessments in school with perfect marks but put into a different situation outside the classrooms, coping up mechanisms fail. Awareness of these issues will help the teacher and the learner prepare their curriculums, trainings and learning modules that will benefit not only the student but also the larger community.

Theories on Transfer of Learning.
Pedagogical theories have been evolving since the 1600 when thinkers started to inquire on how people learn. From these theory evolutions, communities have implemented their daily roles according to available theory design. Teaching mathematics has its own history of successes and failures depending on the kind of learning pedagogy are made available to professors and educators. Successful learning pedagogy requires teachers to understand how students learn and must have the capacity and autonomy to design, implement and assess educational activities that meet the needs of individual and all students. (Teo 2006) Learning pedagogies made available to teachers as theory and skill is crucial in the transfer of learning capability that the teacher eventually created in the lesson plans. The chapter describes these available pedagogical theories as they relate to the transfer of learning mathematics.

The Activity Theory
The workplace is full of action. From the moment a worker puts in his time card on the bundyclock at the start of work until he gets off work passing through the bundyclock again, the worker engages into the materials and processes of work. The activity theory assumes these materials and processes that the worker would encounter and takes on the curriculum from there. Activity theory presents a collection of basic ideas for conceptualizing both individual and collective practices as developmental processes of the context in which human activities normally takes place (Engestrm, 1987, Leontev, 1978). Designing curriculums using Activity Theory differs from the traditional approach

1.  The contents and outcomes of learning are not merely knowledge in texts and the heads of students but new forms of practical activity and artifacts constructed by students and teachers in the process of tackling real-life projects or problems - it is learning what is not yet known. (Mwanza 2010)

Mathematics needs primary concepts so that the student can visualize the secondary concept. The student cannot point to the concept of one, but could easily point to one apple. The artifacts used in Activity Theory are therefore crucial if the transfer of learning from classroom to workplace. Objects that engage the senses offer primary concepts and these concepts can bring about secondary concepts such as mathematical activities summation, multiplication, division or statistics analysis.
For example, speed can be taught by either writing the formula on the board or writing the formula at the same time illustrating the formula by the use of toy cars, a  made up runway using cartolina, having students measure the distance traveled and letting them jot down the time traveled using a stop watch. The activity surely be engaging. This simple experiment on speed can be transferred by the learner to his adult life when he engages the highway driving his own car.

2. Learning is driven by genuine developmental needs in human practices and institutions, manifested in disturbances, breakdowns, problems, and episodes of questioning the existing practice. (2010)
Activity Theory engages the learner into actual instances found in the workplace that puts an imbalance into the flow of processes. By making the student experience the activity, conflicts are highlighted so that problem solving can commence. This is crucial in learning because in the workplace, it is during the moments of disturbance when the faculties of problem solving are high. There are also instances when new processes need to be learned to solve emergent problems.
Math is essentially problem solving. Activity Theory helps in practicing the learner of the processes in problem solving. Transfer of learning increases as the process of problem solving is honed. The student becomes less fearful of the problem and at best is joyfully challenged to solve the problems encountered at the workplace. In accounting for example, as soon as there is a discrepancy in balances, it signals that a problem is at hand. The immediate thing that takes place is a redoing of the balancing process but for the second time, in a slower and more focused manner. The mathematical process of accounting is the same whether one accounts for boxes of printers delivered or carbon emissions by China.

3. Learning proceeds through complex cycles of learning actions in which new objects and motives are created and implemented, opening up wider possibilities for participants involved in that activity. This perspective on teaching and learning highlights the potential impact of new tools as vehicles for transforming activity procedures. (2010)

Activity Theory uses mastery of procedures to increase confidence of the student thereby enhancing the transfer of learning. It is impossible to memorize all possible procedures for a given field. But procedures involve steps that can be found in all types and kinds of activity. Participant involvement is crucial because the participants learning is the target of the activity.  Transfer of learning is strengthened because Activity Theory based instructions give participants varied chances to approach the problem either by the use of old tools or new techniques or better yet, being able to device new tools to solve problems.

Mathematics is composed of basic tenets that can be used to solve the same problem. A child can arrive at the answer 9 either by adding four and five, subtracting on one from ten, multiplying three by three or getting the square root of 81. These are different activities and procedures but all these arrive to the same solution number 9. Transfer learning via the Activity Theory therefore is ensured because the confidence of the worker increases while more tools are accessible to him to solve the problem in the work area.

Shared objects used in Activity Theory are key in the smooth flow of the transfer of learning. Meaningful transfer of learning takes place through interaction between activity systems. The school and workplace engage in collaborative interaction in which both activity systems learn something from each other. What is transferred is not packages of intact knowledge and skills instead developmental transfer involves an active reconstruction of the skills and knowledge to be transferred. Teachers and students are used as change agents in the various transformations and redesign projects at work organizations. Thus, students and their teachers act as mediators and boundary crossers between the school and workplaces. The basic theoretical idea of developmental transfer can be described in Figure 1.

Figure 1. Developmental Learning using Activity Theory Conceptual Framework.
Source httpwww.edu.helsinki.fiactivitypagesresearchtransfer

Developmental transfer and expanse learning occurs during transference. The student gathers possible shared objects found between Activity System A and Activity System B. If there are more objects shared, learning and transfer is successful. If there are less objects shared, the student will lean on the Activity System he is more familiar with and with intelligence be able to cross the boundaries. The objective of the student is to have wider boundary zones that will enable him to work in more kinds of Activity Systems.

Basic mathematical operations are general boundary zones. As the student moves into more specific domains, the student will have common boundary zones within his chosen domain. Seeking out common experience is a good way to explore boundary zones. When the Coppenhagen Summit brought in news about carbon emissions, urgently being reduced to arrest global warming, calculating carbon emissions became an issue among countries. The student then goes back to his mathematics and chemistry domains to gather concepts so that he cross the boundary zones where shared knowledge about the issue is discussed. Therefore, if the student has these cognitive maps of mathematics and chemistry, then he can relate to the issues of carbon emission and would be able to converse with peers.

Constructivism
The best way to recall what constructivism means is by getting the meaning from the root word, construct. Like building a skyscraper, the constructivist concept believes that one cannot get to the fourth floor if there is no first floor yet. Its the same in explorations that a human mind is excitedly adapted to. A student will increase his chances of success if he has more faculties to help him explore. And as he is able to explore and acquire new finds, these new finds will automatically be included in his list of tools for further explorations. The process of acquiring sets of tools for transfer of learning is called schema building.

In the process of schema building, we all have to be explorers, since the constructivist principle, embodied in the present model, tells us that the conceptual knowledge cannot be communicated directly. It has to be constructed anew by every learner in his own mind. (Skemp pp. 203)
Constructivism is a philosophy of learning founded on the premise that, by reflecting on our experiences, we construct our own understanding of the world we live in. Each of us generates our own rules and mental models, which we use to make sense of our experiences. Learning, therefore, is simply the process of adjusting our mental models to accommodate new experiences. (IDRC 2010) Constructivism is guided by these principles

Learning is a search for meaning. Therefore, learning must start with the issues around which students are actively trying to construct meaning. (2010)

Most math learners cannot understand the topics of math because it is full of abstractions and therefore is not meaningful to the learner. Memorizing the area of the circle in geometry will have less learning retention compared to actually measuring the area of a plate and figuring how much donuts can cover the plates entire surface. Once the lesson approach mathematics with meaning, the transfer of learning will be easier because a person only acquires something when it is relevant to her.
A simple example would be measuring the perimeter of shapes like a square. The learner at school computes for this to pass his subject. When he grows up, he can use the concept and transfer this schema to building his porch. He can use this tool as he buys curtains for his office. He can compute how far he has to travel when weeding the edges of his farm. From these activities, the transfer of learning is enacted.

Meaning requires understanding wholes as well as parts. And parts must be understood in the context of wholes. Therefore, the learning process focuses on primary concepts, not isolated facts. (2010)
Constructivism advocates contextual learning. Due to the role of meaning, lessons using the constructivist theories elaborate on parts and wholes. Concepts do not sit in a vacuum and therefore the learner is taught to explore the whole in relation to the parts and vice versa. The simple ratio and proportion concepts of math exemplify this constructivist approach to learning. Concepts of ratios become more meaningful when taken in the context of sharing and appropriations. Since everything is connected in this world, a teacher can figure how a subject no matter how big be subsumed by a bigger idea. The same idea is true for small concepts that they are not so minute that they cannot be broken down into relevant parts.
The opinion of constructivism on transfer of learning uses the context of learning. The exercises taught about money, from the value of money to how it is broken down into pennies and coins to how money exchange happens is transferred to the workplace when the adult recalls these concepts while budgeting his salary, traveling to a different country and he has to visit the foreign exchange shop. What can be called as the part is the skill of money exchange. The context can be whole which in our example is the environment where money is used. It can be the workplace on salary day, the trip to Europe, or the shopping center. These environments add meaning to the math skill.
3. In order to teach well, we must understand the mental models that students use to perceive the world and the assumptions they make to support those models. (2010)
Constructivism builds on the mental models stored by the learners. The elements accessible to the students learning are used to deliver concepts and act on math problems in the classroom to the workplace. Some examples of transferrable mental models used to help the learner construct are the process of problem solving, the process of collecting data and the process of building shapes.
In Mathematics, the mere use of examples that are accessible to the imagination of the students is used to illustrate concepts. Problem solving for the speed and momentum of a Ferrari is assuming that the students know what a Ferrari is. Not all balls bounce and so it can be weak example in explaining gravity. 
Transfer of learning using the constructivist approach will be helpful because the students are taught how to learn. They are guided by the constructivist approach on how to build from existing concepts so that no matter how vague the objects of the existing problem to be dealt with, the learner knows that it is part of a whole and therefore exploring how people perceive the object can jump start analysis of the problem which hopefully will lead to a solution.
The purpose of learning is for an individual to construct his or her own meaning, not just memorize the right answers and regurgitate someone elses meaning. Since education is inherently interdisciplinary, the only valuable way to measure learning is to make the assessment part of the learning process, ensuring it provides students with information on the quality of their learning. (2010)
Most of the time, assessment signifies the end of learning. In the constructivist approach, the assessment is but part of the learning process because in simple terms, the student learns from the mistakes articulated in the assessments. Since Math is very exact, assessment would seem rigid, with no room for further learning. This notion is negated by the fact that a student eventually needs to find the correct answer and so has to go back to the drawing board or ask the teacher how to come about the correct answer. This going back is the future learning that comes about from realizing mistakes. The teacher and learner must approach mistakes in a more positive manner, that of a chance to learn from the mistake. In a constructivist classroom, the right answer alone is not the point. The point of learning is the right process.
There are constraints to this approach. Bettencourt (1993) gives four constraints on knowledge that can be constructed ones previous constructions, interactions with others, ones experience, fit with the rest of ones knowledge. But given these limitations, the student learning with the constructivist approach is more likely to be more confident in using his learning in the workplace. Being aware that one has building blocks, a set of tools and the right exploratory open-minded attitude, engaging problems in that workplace will be meaningful encounter, even if the situation is totally new to the employee.
Socio-culturalism
The global learning place is filled with ethnic, cultural and ethical dilemmas. This is where socio-cultural strategies come in strong in making the transfer of learning a success. Being reared in a mutli-racial campus can be an advantage because big multinational work settings interact with numerous cultural groups. The internet itself is a place where on could practice communicating and interacting with different cultures. Socio-cultural approach in the pedagogy helps the student realize that learning is not confined in a vacuum. Cultural differences bring about varied dimensions in interaction and relations.
Socio cultural theories are rooted in constructivism but they focus on the role of community and environment in the creation of knowledge as opposed to the constructivist focus on internal negotiation of meaning. They acquiesce that meaning can vary but contend that it is defined by the community of practitioners, which uses it. Thus, knowledge resides in communities. Meaning-making is the result of active participation in socially, culturally, historically, and politically situated contexts. (Pantel 1997) Strictly, the socio-cultural approach prioritizes the learning of a collective community rather than the individuals own knowledge inside the community he is related to.
A feature in changing trends in research in mathematics education during recent years has been the growing interest in and focus on the social and cultural context of the mathematics classroom. (Bishop 1988) Mathematics in the applied fields relates to the community. Math is used to develop a communitys welfare. As the individual learns the bigger contexts of his environment, math becomes more meaningful and relevant. Curriculums that use this pedagogy increase the efficiency of the transfer of learning because lessons try to approximate the community wherein the students will find himself after his studies.
Besides scaffolding, fading and cognitive apprenticeship, socio-culturalism uses collaborative learning. By sharing ideas, reflection and interacting with classmates during problem solving, the community comes alive. The discussion that leads to the solution is given due credit because in the real world, problems are not stand alone in ones office but is related to the work of another colleague in the field. Purchasing departments in a factory affect inventory, affect sales and marketing and affect the retail prices of products and services. Teams in the workplace continue to learn how companies can evolve through changing times therefore the learner who can communicate with the community is equipped with evolutionary skills at the workplace.
Wenger furthers these meaning learning with the help of the community as communities of practice. Over time, this collective learning results in practices that reflect both the pursuit of our enterprises and the attendant social relations. These practices are thus the property of a kind of community created over time by the sustained pursuit of a shared enterprise. It makes sense, therefore to call these kinds of communities communities of practice. (Wenger 1998) With practice, the learner increases his chances of adapting his learning to the his place of work because at school, using the socio-cultural approach, much practice with these communities of practice is done.
The community of Math uses the artistic language of numbers. Math is a language art. It has its own universal symbols, more universal than English, French or Spanish.  All knowledge is, we believe, like language. Its constituent parts index the world and so are inextricably a product of the activity and situations in which they are produced. A concept, for example, will continually evolve with each new occasion of use, because new situations, negotiations, and activities inevitably recast it in a new, more densely textured form. So a concept, like the meaning of a word, is always under construction. (Brown 1989)
While students learn mathematics, they acquire this language of the sciences. This language has meaning, context and use. And like any kind of language, the more it is used, the more mastery is acquired. Therefore, when mathematics is needed in the workplace, the mind will turn on the language and soon the worker will be able to converse like how he did in the classrooms. Essentially, learning the language that is mathematics enables a student to be part of the mathematics community wherein he can speak the language, be understood and be able to express and share his own ideas.
Situated Cognition
Apprenticeship, thesis work, practicum are some of the strategies that situated cognition employ to deliver competencies. In these curriculums, the student is brought to actual situations where the student needs to physically do the tasks involved. Agriculture students are required to do their thesis that may involve planting to actual harvesting of produce. When these students are deployed to the farms, they would recognize basic things like soil, planting, harvesting, irrigation and pests. This is also true with doctors who need to spend hours in the hospital to fulfill duties. But the time they become practicing doctors, they would easily be familiar with the environment of the hospital including patients, disease and hospital administrators.
Research on situated cognition highlight the concept of communities of practice, where practice is one of the crucial elements in the transfer of knowledge. Situated learning (Greeno, 1989 Brown, Collins,  Duguid, 1989) is a stance holding that inquiries into learning and cognition must take serious account of social interaction and physical activity. A unifying concept emerging from situated learning research is communities of practice--the idea that learning is constituted through the sharing of purposeful, patterned activity (Lave  Wenger, 1989). This idea stresses practice and community equally. Knowledge is seen as practical capability for doing and making. Meaning is seen as a construction of a social unit that shares a stake in a common situation. As a consequence, learning is seen as a capability for increased participation in communally experienced situations--a dual affair of constructing identity and constructing understanding (Wenger, 1990).
Universities are aware that much practice of knowledge must happen in the academe. Computing as a skill has to be practiced. But practice with meaning is the better approach rather than making arithmetic into a mundane habit. This is where the community becomes relevant because community offers the context that is not in the mathematical formulas. Situated cognition works well when the context offers more objects for the learner to hold on to during transference.
Thus, learning organizations are born. Members in an organization are brought together to solve problems together. Together they are organized to attend to a particular situation. A learning organization needs to do so to understand the challenges it faces, recognize opportunities, and maintain a competitive edge. (Parcon 2009)
There are five critical elements to the definition given by Parcon
A learning organization learns consciously it introduces a necessary level of intent and commitment to the process of learning.
A learning organization learns continually, not just consciously.
A learning organization highlights experience as a source of learning it emphasizes the means and ability to exploit its track record, using field operations as a primary source of learning, while drawing from elsewhere.
A learning organization improves practice the litmus test fro whether learning has, in fact, occurred lies in the extent to which its practice has actually improved.
A learning organizations is built around people -- their know-what, know-how, and know-why are central to the undertaking.
A student upon leaving the campus enters into learning organizations when they find their careers. It is into these learning organizations that students are required to transfer their learning in the objective of continuing the learning process with a learning organization.
Researches on mathematics acquisition through situated learning were made by Lave. Lave (1988) used the results of her research about the grocery shopping activity, to criticize the traditional belief that mathematics is an abstract and powerful tool, whose knowledge is easily transferred from one situation to another. From her perspective, mathematics teaching in school is conceived as the acquisition of abilities that subsequently can be transferred to other practices. The abstract concept of division for example is very powerful that it can used in each moment of ones life. The day is divided into two time chunks called day and night. The meals are divided into breakfast, lunch and supper. The house is divided into the number of rooms. So the concept of division, though abstract is concretized into many instances.

Behaviourism
Behaviourism seems like an old concept but much of the pedagogy studies started with psychological experiments of this approach. Behaviorism, as a learning theory, can be traced back to Aristotle, whose essay Memory focused on associations being made between events such as lightning and thunder. Other philosophers that followed Aristotles thoughts are Hobbs (1650), Hume (1740), Brown (1820), Bain (1855) and Ebbinghause (1885) (Black, 1995). (Mergel 1998)
The stimulus response  (S-R) approach assumes that given the correct motivation, required behavior will follow. There are positive reinforcement and negative reinforcements to be used to control behaviour. Skinners experiment on animal behaviour enabled the scientists to realize that giving food that becomes the reward can be used to teach lessons. Behaviorism teaches habit learning. Once the process is learnt, it then becomes a habit and therefore is wholly acquired by the learner. A behaviorist teaching style in mathematics education tends to stress practices that emphasize rote learning and memorization of formulas, single solutions, and adherence to procedures and drill. Teaching is seen as a matter of enunciating objectives, providing the means to reach those objectives and using constant repetition in class for skill acquisition (Leder, 1994). Wood, Cobb, and Yackel (1991) argued that such approaches lead to passive modes of learning. (Handal, 2003)
Unfortunately for the subject of mathematics, habit learning or rote learning teaches less adaptability.  Once the stimulus is gone, or the environment changed, the learner will not be able to get his goal. Transfer of learning is low with the behaviourist approach.
At best, theory development is active. The figure below shows the evolution of these learning theories as one is a reaction to the other. From the 1800 to the present, psychologists are actively in search of the mind and how the mind learns so that teaching can be effective. From Behaviorism to Constructivism, scientists are able to understand how the mind works. The theory development helps professionals and practitioners to adjust their tools and strategies to attain educational goals.

Figure 2. Comparison of Learning Theory Development Source  HYPERLINK httpwww.usask.caeducationcoursework802papersmergelbrenda.htm httpwww.usask.caeducationcoursework802papersmergelbrenda.htm


Issues on Transfer of Learning

What characterizes transfer of learning

Transfer of Learning is dependent on the theory used to deliver learning targets

Transfer of learning is affected by the schools of thought the teacher employs. Behaviorists focus on stimulus and response that brings about habit learning. With this mode of teaching, transfer of learning is limited to the stimulus and responses that the student was subjected to. The habits that he acquired must be encompassing so that he can handle more types of problems when he gets to the real world.
Habit learning is used when a child needs to memorize the number system or the multiplication table. Habit learning occurs when information is stored unconsciously, through repetition and trial-and-error learning. These memories are believed to be retained in a different region of the brain, called the basal ganglia. In monkeys with lesions in the hippocampus, it had been shown that in contrast to humans with similar hippocampal lesions due to injury or disease who have difficulty learning certain tasks over a certain time period, the monkeys can learn the tasks at a normal rate, apparently as habits. (Bayley 2005) But take out the stimulus, the response cannot be achieved. Vary the stimulus to something that the monkey has not seen, heard or felt, there will be difficulty to perform the response.
Statistics formula for example is memorized and by the force of habit can be learned by the students enough so they can bring it with them and use these formulas come taxation time. But there are more theories to work with to achieve learning targets.
Students from the constructivist classrooms have more chances of survival in the workplace. The lessons learned would have more meaning outside the classroom walls because even without stimulus, the need to explore, build and create is inherent in the student. The environment will approximate familiarity giving him confidence to step out of his box and relate with new environments with new challenges.
Transfer of learning from situational approaches will be effective but limited to the situations introduced to the students. The transfer of learning may encounter difficulty once the situation changes and the changes are not included in the domain focused. However, when reflection is incorporated in every situational undertaking, there is a better chance that the student will be able to rise up to the problem solving challenge. This is so true in mathematics when the given becomes the solution and the solution becomes the given. Its almost the same situation but perspectives are different. Transference will be effective if critical thinking is also developed in each situation.
Transfer of learning under the socio-cultural approach will bring in a wider realm of considerations. Trained under this approach the student will look for learning collaborators, thinking communities to work with and cultural aspects to appreciate when dealing with problem solving. Since mathematics is more or less a universal language, transfer of learning using this approach would be more creative. Mathematics will be the bridge between differing cultures. And that by itself is an advantage of this approach.
Transfer of learning is enhanced by the process of the delivering learning targets

Transfer of learning is characterized by the process of delivering learning targets. Positive reinforcement versus negative reinforcement will affect retention. Some communities in the olden times inflict hardships to their students believing that the more pain that a student suffers, the more he will claim his successes. There are still schools that employ this type of belief. However, studies show that positive reinforcement has more sustainable results in learning retention. Like positive reinforcement, positive transference is the behavior of the student wherein he voluntarily uses what he learned in school in the workplace. If you punish a child for not doing his multiplication assignment, what he remembers first is the punishment.
Universities and colleges essentially have adults in their classrooms that are an essential factor in choosing teaching strategies. Adult learning must be considered when choosing the process of delivering learning targets. Positive reinforcement works for adults because the responsibility of learning rests on the students themselves. Though varying, their individual motivations are enough to get them to step one. As do all learners, adults need to be shown respect. Instructors must acknowledge the wealth of experiences that adult participants bring to the classroom. These adults should be treated as equals in experience and knowledge and allowed to voice their opinions freely in class. (Lieb, 1991)
Transfer of learning employs targets which involve expectations in the work place
Transfer of learning is characterized by the knowledge, skills and attitudes being transferred. An educator is aware of the subject matter to be taught. Based on the subject matter, the educator prepares his tools, process and motivational and engage activities. There are limitations to a teachers bag of tricks. When the subject matter is just too extensive to be taught in a limited given time, the educator goes back to lecturing, giving homework and asking the students to look up the subject themselves. Transfer of learning is thereby put to a hopeful thought.
In mathematics, there is solace for an educator who handles a homogenous group. Nurses studying mathematics will have a different curriculum compared to engineerings studying mathematics. Approximation of the math involved in the workplace helps the teacher have more focus on the tools he would use to deliver the subject matter. Physicist by far would have access to high mathematical computations far from a janitors imagination and visa versa. But there are realms that connect these roles. These functions are called quantitative literacy.
Arnold Packers essay What Mathematics Should Everyone Know and Be Able to Do, discussed important subjects adhering to an adults quantitative literacy. These are topics that could help the individual contribute to the community in as much as the list are the same topics that the educators need to focus on so that transfer of learning is efficient.
Packer notes that, the structure builds on the SCANS taxonomy, a set of competencies developed in 1991 by the Secretarys Commission on Achieving Necessary Skills (SCANS). These competenciesa better term is problem domainsare quite broad and were intended to accommodate a full range of situations from entry-level to CEO. The five SCANS domains and the subdomains that require quantitative literacy are
Planning problems. Allocating money (budgeting), time (scheduling), space, and staff
Systems and processes problems. Understanding, monitoring, and designing social, physical, or business systems.
Interpersonal problems. Working in teams, negotiating, teaching, and learning.
Information problems. Gathering and organizing data, evaluating data, and communicating, both in written and oral form.
Technology problems. Using, choosing, and maintaining equipment of any type. (Packer 2010)
Packer in his studies has defined these targets according to the roles one has to take after school. Competency exams in highschool are used to assess the skills of a student. The exams match these skills with immediate future undertakings of the student. These exams will help the teacher guide the student whether or not he will go to college. If he goes to college, the course that best suits him can be narrowed down. Then after college, the assessment of his skills can also guide him on his future undertaking whether he will pursue business or become an employee in a firm.

Figure 3 shows the different roles an adult takes in after school life. As a worker, consumer, citizen and persona role, different mathematical concepts are laid out to aid the adult in planning, systems and process analysis and design, interpersonal relations, information and technology competency. Though the skills discussed here are compartmentalized, the student in the field is expected to integrate these tools to deliver role expectations. Transference therefore can be measured according to this table. It can also be used to assess a students capacity to transfer his learning from one role to another.
Generally, industries look for key competencies in the workers of tomorrow. Specialized knowledge, which is taught very well in traditional higher education, and acquaintance with the enterprise in which one works are not sufficient, and more skills are necessary. Students, who are tomorrows employees, also need the abilty to work in teams communication and creative abilities the ability to recognize and understand problems from different viewpoints. These so-called key competencies are important and necessary for any staff member. (Peschges 1998)
Transfer of learning looks into the learning style of students
Learning styles enlighten teachers to lessen their frustrations when dealing with learners. As learning theories evolve, research on learning styles have evolved from the simple fast and slow learner to Kolbs learning theories, Gardners Multiple Intelligences. All these types of learning characterize the transfer of learning.
Carl Jung (1923) identified four basic human functions (1) the thinking function of organizing and analyzing in a logical fashion (2) the feeling function of personal and emotional reactions to experience (3) the sensation function of perceiving and reacting to immediate sensory information and (4) the intuition function of imagination and abstract thought. Subsequent learning style models have focused on perception and communication as key indicators of style.
Each student has their own learning style. It can be a mix of two or three of these learning styles. Learning styles affect transference because the way that the student process the transfer of learnt subjects is also the way they learn. A teacher teaches according to how he learns and therefore if the teacher is limited to one or two learning styles, chances are, he cannot transfer his knowledge and skills as effectively to the students who have different learning style compared to him. 
If the lesson plan that delivers statistical computation subjects is delivered according to the learning style of the student, there are more chances that the transfer of learning will be successful. Mathematics is believed to be a thinkers haven. Thinkers enjoy abstractions, conceptualization and problem solving. In Kolbs Learning Theory, thinkers are opposite the feelers that rely on concrete experience. They need to be able to feel the problem and feel the solutions. Experiencing mathematics is crucial to their kind of transference. The watchers meanwhile enjoy learning by listening and watching presentations, lectures and movies. For them, to see is to believe and therefore field trips and mentorship stimulate their learning faculties. On the other hand, doers need hands on learning. Activity based lessons motivate their capacities to the fullest and transference is optimum.

Figure 4. Kolbs Learning Styles
What instructional strategies promote or hinder transfer of learning

Project-oriented learning strategies promote transfer of learning.

Educators can more or less approximate the problems that the student will encounter in the field. Given this assumption, the lessons can be prepared in such a way that problem sets are contextualized according to the environment of the future workplace. Workplace can be a business venture where entrepreneurial skills can be developed. It could also be a multi-national health firm providing wellness services and products. Given these varying fields of practice, the educator prepares project-oriented modules that increase the chances of transference.
Projects are complex tasks, based on designproblem-solving decision makinginvestigative activities that give students the opportunity to work relatively autonomously over extended periods of time and culminate in realistic products or presentations. (Thomas 2000) When students embark on a project, it usually consists of a holistic attack on the problem. The student starts with the given, ventures into the required and deals with possible solutions to arrive at an answer. Mathematics always begins with a given. Some trigonometry problems seems hard at first because theres only one given data to work on until the student realize the many concepts pre-taught to him such as basic conversions, the laws of gravity, the Pi 3.1416, formula of shapes, factors of speed, and other stock knowledge that can be used in completing the project.
The mere process of completion and project engagement is the key to transference. At the workplace project management invokes all the knowledge and skills that the student has learned. Using these skills, the worker is able to embark on small projects at first then on to bigger projects. What is beautiful in mathematics, whether the project is big or small, formula remains the same. A circle under the microscope or seen from the space stations will have the same formula for measuring its area. Therefore, transfer of learning is achieved. Learning more from existing or past projects will help the learner embark on bigger projects at bigger scales.
Project-based learning promotes transfer of learning because of its adaptability. When the project flowcycle is learned by the student he can always use this to other upcoming projects. Mastery of project management in the universities increase the students confidence in taking on projects especially when the projects in the university approximates the projects in the field.
The learning-by-doing approach to training is central to project oriented strategies. Learning-by-doing has high experiential capabilities. The target competency is delivered in hands on or apprenticeship mode. Given the target and training workshops, transfer of learning is ensured. After the transfer comes the transformation. The learning-by-doing concept collaborated with the 4Ts of learning can be very successful in instilling core values to the students given limited resources.
It is important to point out conditions for the success of problem-solving transfer as experienced in project based situations. At the least, specific skills inherent in the domain must be at hand, accessible to the students cognitive awareness. The second condition is that the student has at the least experienced the problem in his immediate past. Third, the student must have acquired critical thinking skills so that he can summon his intelligence to engage on the problem to be solved.
Participatory learning environments promote transfer of learning.
The workplace is not a vacuum. There is hierarchy, structure, roles that connect to other roles, and role systems to follow. Transfer of learning benefits from participatory learning environments because it approximates most of the target workplace.
Participatory learning is part of the paradigm shift that took place in society as reaction to top down cultural movements. People centered principles have influenced the course of western culture over the last thirty years, often changing the bearings of education, business, public policy and international relief and development programs. These principles, larger humanist movements in the natural and social sciences and the emergence of post-modernism and chaos theory required organizations who were serious about adopting a people first orientation to change more than their tactics. It necessitated a paradigm shift. (Jennings, 2000) Realizations of the participatory approach trickled down to most of the societys undertakings including education.
Students who are adept at participatory processes acquire skills and talents that are useful to the participatory workplace. Essentially these environments promote teamwork, camaraderie, accountability, and learning organizations. Egger and Majeres (1998) enumerate the key principles of effective participation as Inclusion, Equal Partnership, Transparency, Sharing Power, Sharing Responsibility, Empowerment and Cooperation. These principles for effective participation can be applied to all aspects of the development process or project.
Though mathematics is not seen in these participatory principles directly, the student who learns these participatory principles in the classroom while solving a math problem will be able to transfer his learning in the workplace. For sure, he will be able to further articulate these participatory principles as he continues to practice the concepts outside the four corners of the classroom.
Reflective strategies enhance transfer of learning.
Reflection is the ability to take stock of the learning and put it into deep learning analysis putting ones own personal attitudes and beliefs and relating it to the learned subject. Reflective strategies enhance the transfer of learning because the process ensures that the learning is taken into the deep recesses of ones mind and heart. Lesson learned from experience goes to waste when the person misses out on reflecting on the topic.
The figure below illustrates the action  reflection model wherein the student after experimentation is taken to experience something new. From this experience, observations abound using sensory tools. Given these observations, reflection occurs that help the student come up with new concepts and realizations that can be experimented on again.


Figure 5. The Action-Reflection Model.

Transfer of learning is safe with reflective strategies. A student learns from his own reflections, whether he did well or did a mistake, the whole experience becomes a learning experience. Therefore, no lesson is wasted. It is more difficult to reflect on lecture modules than experiential modules though. Mathematics that is memorized does not hold as much retention as mathematics that is experienced. Even with mistakes, the actual experience of the mistake is remembered by the student, for life. From these mistakes, learning takes place.


Passive instructional strategies hinder transfer of learning.

A passive workplace is due to close down. In this rapid changing needs of global markets, teams that can evolve themselves to varied fluctuations in economic, socio political situations has more chances of survival. Passive instructional strategies in the classroom dont help prepare students to take on the global challenges inherent in the workplace. Figure 6 illustrates Edgar Dales Cone of Learning wherein the active and passive types of involvement are measured against the how much retention on the subject matter is achieved.

Figure 6. Edgar Dales Cone of Learning
As shown in the diagram, passive learning can only promise 50 retention brought about by lessons that bring students to watch a demonstration, view an exhibit, watch a movie, read, listen to the radio or attend an exhibit. These are types of passive forms of learning that can bring about learning but retention diminishes because in the first place, during these passive activities, the students reaction is not required. The student is merely an observer and therefore his engagement is cerebral, superficial.
But with active learning, retention can increase to 90 according to Dales studies. Doing the real thing obtains the highest retention level that a learner can achieve and this affects transference. Some students know that the smartest and most intelligent mathematician can be the worse teacher to teach math. Teachers who have not experienced what their subjects are will find it difficult to impart insights on the topic. These teachers will be relying on their tools as they start to lecture in class. A teacher who has experienced trigonometry will come to class ready to shoot the topic using different angles, approach, methodology, tools and discussion points.
A passive teacher will definitely have passive students and passive students will definitely end up with passive routine jobs that are less worthy to develop.

What learning strategies promotehinder transfer of learning
Experiential learning strategies promote transfer of learning.
Learning experiences abound in the classroom. Although its the same place, with the same amount of class hours spent and the same set of classmates and teachers, the subject matter changes. The experiential learning strategy promotes transfer of learning because the outside of the classroom, experience is all there is.
Bringing about the experience of mathematics in the classroom is a challenge but educators can bank on adults need to solve problems. Mathematics is after all is useful and all students know the wisdom and advantage of knowing Math concepts. The challenge lies in the teacher and how he delivers the strategy.
Developing a positive classroom can be done by (1) setting a positive climate for learning, (2) clarifying the purposes of the learner(s), (3) organizing and making available learning resources, (4) balancing intellectual and emotional components of learning, and (5) sharing feelings and thoughts with learners but not dominating. According to Rogers, learning is facilitated when (1) the student participates completely in the learning process and has control over its nature and direction, (2) it is primarily based upon direct confrontation with practical, social, personal or research problems, and (3) self-evaluation is the principal method of assessing progress or success. Rogers also emphasizes the importance of learning to learn and an openness to change. (Rogers, 1969)
Some examples of mathematical experience in the classroom are the lessons on measurements and how they are computed for conversion. Transforming the classroom into a market place of sorts where students can play different roles such as buyer, seller, grocery administrator, tax police, or produce vendor. Just like in theater where the stage can be set, the teacher can instill a lot of concepts given one imagined venue, with the students imagining their roles. The use of math is engaging so much so that it can bring about creativity in a student, as he is able to find solutions to the problems posted. If learning is fun, the student will look forward to learning in the workplace as well.
Some faculties would say that this is possible only with simple basic pre college math concepts. It becomes different with higher math altogether. On the contrary, the experience of mathematics in the higher grade levels and even up to the post college courses is more exciting because much experience can be put into the lesson. Adults have more experience compared to children and the teacher can take advantage of this wealth of experience when teaching higher math.
For example, computations on engineering can be cumbersome, long and frustrating however, engaging a group to finish engineering projects adds up to the challenge of collaboration. With hard work, engineering students will be happy to have arrived at solutions that can be an automobile design, an irrigation system or a plan for a house. Having attained the final solutions and final output of a collaborative project is in itself a reward for students of math.
Intelligent learning strategies promote transfer of learning
Math is an intelligent faculty. That is a given. Math expects a student to look at his existing cognitive map, use tools stored in that map to find solutions to the problems at hand. Intelligence is described as a cluster of related mental abilities, which together are very useful. Among these is the ability to learn in a way which is qualitatively different from habit learning. Intelligent learning consists, not in the memorizing of a collection of rules, but in the building up of knowledge structures from which a great variety of plans of actions can be derived as and when required. (Skemp, 1989 47)
Intelligent learning teaches the student ways where he can adapt his skills and knowledge with the given context. Adaptability is important in transfer of learning as discussed earlier. Intelligence-friendly classrooms nurture the adaptability talent of a student. In brief, intelligence-friendly classrooms are classrooms that celebrate the joy of the learners emotional and intellectual word, not through rhetoric and repetition, but through richness and relationships. (Fogarty, 1998)
Table 1. Theoretical Underpinnings of the intelligence pedagogy. (Fogarty 1998)
Traditional theory of general intelligence. Intelligence is inherited and unchanging.Piagets theory of developmental psychology. Intelligence is developmentally constructed in the mind by the learner and moves from concrete to abstract stages of understanding.Vygotskys theory of social mediation. Intelligence is a function of activity mediated through material tools, psychological tools, and other human beings.Feuersteins theory of structural cognitive modifiabilityIntelligence is a function of experience and can be changed through guided mediation.Gardners theory of multiple intelligences. Intelligence is made up of eight realms of knowing (verbal, visual, mathematical, musical, bodily, interpersonal, intrapersonal, naturalistic) for solving problems and creating products valued in a culture.Sternbergs successful intelligence. Intelligence is triarchic, with analytic, creative, and practical components that need to be balanced.Perkins theory of learnable intelligence.Intelligence is made up of neural, experiential, and reflective components that help us know our way around the good use of our minds.Costas theory of intelligence behaviors. Intelligence is composed of acquired habits or states of mind that are evident in such behaviors as persistence, flexibility, decreased impulsiveness, enjoyment of thinking, and reflectiveness.Golemans theory of emotional intelligence. Intelligence is both cognitive and emotional, with the emotional (self-awareness, self-regulation, motivation, empathy, and social skill) ruling over the cognitive.Coles theory of moral intelligence. Intelligence is composed of cognitive, psychological or emotional, and moral realms.
The way a teacher understands what intelligence is, is crucial in his objective to teach math and make knowledge transferrable. If intelligence is experience, then the teacher would use experiential tools to teach. Baking bread is an experience where measurements are taught. If intelligence is composed of habits, the teacher has to subject students to continuous math drills. After 20 items of solving for x, the student eventually acquires the skill of looking for the unknown X that in the workplace setting can be the reason why sales are low, why inventory are disappearing or why the boss is angry.
Workers today are almost spoonfed due to technological gadgets that he has access to, compared to decades ago when there was no internet and mobile phones available. But these gadgets enable millennium workers to do more intelligent work rather than handling routine jobs that can be implemented by a machine. Thus efficiency processes were invented with intelligent learning. Examples of these processes are the Lean Process Solutions, Six-Sigma, the Kaizen type of resource management or the 5 S and 7 W types of work ethics. Work environments in this modern age are lead by intelligent solutions therefore the expectation on workers to have intelligent skills is urgent.
Memorization hinders transfer of learning.
Memorization hinders transfer of learning because
It is limiting. If the student does not have the ability to memorize large chunks of knowledge, he will be less adaptive and less useful in the workplace. The frustration of not being able to cope will feed his low self-esteem until he entirely slips out of the lesson until he will be trailing behind the class. As students age, their memory capacity declines therefore memorizing becomes dependent on the memory recall ability of a person. The older one gets, the less he would be able to remember details especially if they are relevant. Getting old is not only the issue with loss of memory. Medical procedures and medication can also affect this faculty in adults.
Memorization is not meaningful therefore acquisition of the things memorized will not be prioritized.
Remembering birthdays of all your friends is a challenge. But birthdays of parents, sibling, spouse and children are a must. This is another limitation of memorizing topics that do not have meaning to the student. They are forgotten as soon as they are memorized.
 Only a handful of learners have the genius of having a photographic memory.
Though memorizing is a tool of learning and is crucial to habit learning, it is not adept in learning mathematics. A student can memorize all types of mathematical formulas but if the student does not know when to use these formulas, these memorizing skills will surely go to waste. Table 2 shows the difference between memorizing and understanding.
Table 2. Comparison between Memorizing vs. Understanding

MEMORIZINGUNDERSTANDINGTries to learn ideas and concepts word for word only.Converts ideas and concepts into own words.Difficult to explain ideas to someone else other than word for word.Able to use own words to explain something clearlyDifficult to see how ideas apply in real-life situations or case studies.Can apply ideas to real life situations or case studies.Relevance of ideas outside the classroom is difficult to see and are typically not sought.Seeks connections between knowledge from the classroom and the outside world.Does not see differences, similarities, and implications of ideas.Can identify differences, similarities between ideas and implications of these ideas.Interprets ideas literally.Realizes that there can be figurative as well as literal interpretations of ideas.Strives for rote learning and has trouble solving problems when numbers or components changed.Strives for understand and can solve problems even when numbers or components are changed.Believes there is 1 right answer for every question.
Accepts that there may be more than 1 right answer to a question depending on circumstances.Has trouble seeing beyond the basic concept or idea.
Can see meaning, effects, results, consequences beyond the basic idea or concept.Copyright  Dennis H. Congos, Certified Supplemental Instruction Trainer. University of Central Florida, Orlando, FL

Memorization is not all that negative. The student may start with memorization but with intelligent learning, the student will eventually understand the concepts. With understanding comes the ability of the student for transference. Figure 7 shows the inverted relationship of the need to memorize and understanding. A student needs low memory skills when their understanding becomes deep. When their concepts become good mental models, they can access these cognitive maps easily.

Figure 7. Relation of Understanding and the need to memorize.
Passive learning hinders transfer of learning.
Passive learning cannot support the transfer of knowledge because
It does not activate thinking skills that will lead to intelligent learning. With passive learning, the mind is taught to absorb what is offered. Passive learning does not require the student to react to the lesson. The student accepts the targets and need not question or delve into possibilities of the topic.
It encourages complacency because the student becomes satisfied when he attains required learning, not venturing into future learning that he can do given his newly acquired set of tools. Complacency leads to extinction. Many challenges that companies face are the ever-changing landscape of economics. Companies are always on their toes to be pro-active to the challenges of their environments.
It does not encourage collaboration that is very useful in the workplace
Role of technology on transfer of learning
Technology supports simulations.
Learners today are visual and tactile. Given the gadgets they are born with, students today do not have a problem exploring buttons on these technical gadgets. They are also adept at exploring software that are essentially simply configured according to the if and then pretexts set.
Take for example the play stations and computer games that children play. Adults play it as well. Computer games are essentially simulations where the gamer is given a task, a problem or a challenge and a set of tools to start with. From this, the gamer plays against the time if hes playing alone or with a gang, also online, or gamers across the globe. These simulations effectively engage the gamer motivating him to go for the goal.
Simulations help the learner in transferences while technology help the teacher bring about simulations. There are limitations though. Technologies do not guarantee effective learning, however. Inappropriate uses of technology can hinder learningfor example, if students spend most of their time picking fonts and colors for multimedia reports instead of planning, writing, and revising their ideas. And everyone knows how much time students can waste surfing the Internet. Yet many aspects of technology make it easier to create environments that fit the principles of learning discussed throughout this report. (CBASSE, 1999)
Computer Assisted Learning helps individual learning styles.
Computers have been used to teach language arts. To date, it has been used to teach mathematics also. Computer Assisted Learning makes use of the computer to help educators and learners introduce topics, facilitate practice, design individual simulations and make assessment faster. Since the computers can be programmed according to the needs of the learners, learning styles are can be considered when designing the computer software where instructions will be programmed. Additionally, a survey of adult learners in British Columbia who were exposed to several computer-assisted learning systems revealed that the most positive comments about learning gains were made with reference to mathematics (Thomas  Buck, 1994).
The role of computers is to take the pressure off the teachers. There are standards on the teacher student ratio that universities try to meet however due to economic reasons, a lecturer in the tertiary schools stands in front of an auditorium for one hour mindless of the rate of acquisition the students are experiencing or not. But with the help of computers as instructor assistant, the learner is again the center of the learning process.
Sloan states that Computer Assisted Learning (CAL) is being widely used because CAL can be adjusted to each learners style and help learners overcome their learning weaknesses. Sloan maintains that students learn in a variety of methods but that each student has a preferred learning style. And as such, good course design must be developed to be flexible enough to meet each students preferred learning style. (Henke, 2001)
Universities in the new millennium are equipped with computers and educational gadgetry that help students. The laptops of today are retrofitted with wifi, educational software and multi-media peripherals that help student learning. Some universities offer lay away plans so that more students can acquire the handy notebooks and subnotebooks. Apple for example, offer student discounts to most of their computer products. And acquisition of a laptop is a must in the schools of tomorrow due to the feature of computer-assisted learning systems as expounded by Yoder.
Another important feature of computer-assisted learning systems is that they can easily accommodate the major learning styles. Visual learners are provided with opportunities to read words and see graphics that are carefully presented on uncluttered pages with particular attention paid to color and number of words per screen. Students wear headphones and are stimulated auditorially as a clear voice articulates key points. Most importantly, tactile and kinesthetic learners are able to use a keyboard and mouse to manipulate data and produce answers. (Yoder, 2010)
The issues that challenge computer assisted learning strategies have always been about availability of resources. Comparing costs of computers decades ago, the machine nowadays is more affordable. There are other more specialized computers that require a big investment. Specialized software come with specialized computers. But there are a lot of ways how institutions are able to acquire these computers. Sometimes the target companies where graduates will hopefully go to donates to the colleges. A lot of discounts are given to educational institutions. At the onset of computer learning, parent and community associations agree to put a premium to education by pooling resources so that the school can offer computer courses and use computers and internet for learning.
Technology enhances situational learning
Calculators get rid of the cumbersome of calculations making the learner have more focus on the situation.
Numerous studies show that calculators have improved performance of students in math. A study in Germany was conducted and the paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999 3 years later the former restrictions on the use of technology in math education were lifted. In 2004, more than a quarter of all Thuringian upper secondary schools used CAS in math classes. Beginning in 2000, a test was carried out each year to compare the performance of CAS and non-CAS students (from different control schools). In 70 of the cases CAS students performed better than, and in the remaining 30 they performed as well as, non-CAS students. There is evidence that students in advanced courses benefit more from using CAS than students in basic courses. (Schmidt, 2010)
At first objections against the calculators were aplenty. Educators felt that loss in calculation mastery, multiplication memorization would dampen computing abilities of the student if they continually use calculators. Evidently, there are calculators that are programmable and could compute hard physics or statistics problems. It was in recent years that educators finally realize that calculators were able to save time from these cumbersome calculations. Skemp in 1989 explains that these calculators release us from the drudgery of acquiring speed and accuracy in doing complicated calculations. They do not release us from the task of knowing what are the appropriate calculations to do, or whether the answer makes sense. But they make more time available for learning with emphasis on understanding, and thereby help us to meet this obligation.
Multi-media visualize the situation.
Computers can create graphic elements that can help the students visualize the situation needing solutions. This is where multi-media tools come in handy. The role they play is to help the student get a tactile feel and help them imagine what forces are at play. Instead of consuming effort trying to imagine a new situation, graphic resolutions can aide the student in defining the situation. Research on the use of Geometers Sketchpad was done to how this particular technology can help mathematics students.
This article presents a case study in which researcher-practitioner collaboration took place to promote effective use of technology in an urban elementary school mathematics classroom. Data were primarily gathered through classroom observations and interviews. The aim of this study was twofold. First, to increase our understanding of the effects of teacher-researcher collaboration on the perspective of an experienced mathematics teacher who, for the first time, was teaching geometry with a dynamic computer software program, the Geometers Sketchpad. Second, to get the reactions of both the teacher and the students about whether or not Geometers Sketchpad had enhanced the teaching and learning of geometry. The data suggest that, although the teacher was worried at first that she might be replaced by the technology, she found that she is a vital part of ensuring that the technology is an effective tool for teaching and learning. Furthermore, the data also suggest that the students liked using technology and felt it enhanced their learning of the mathematics they were taught. (Yanik, 2010)
Virtual access enables the student to see in real time the actual work place that can be used as a venue for problem sets in mathematics.
The internet superhighway has yet to tapped. Numerous possibilities on the virtual superhighway is continuously being developed. Math tutorials can now be done via Skype and Wacom technologies. Math tutors can be sitting across the globe while discussing algebraic equations with their tutees. Cameras hooked up with the laptops can take real time videos where learning can take place. Sights and sounds are real time and therefore give an experience to students using the technology.
Virtual reality motivates young learners while for some teachers, venturing into this learning tool is yet, a learning by itself. When it comes to teachers learning and valuing the effective use of new technologies, some schools are discovering that the kinds of training programs offered in the past may not represent the most generative method of reaching a full range of teachers and their students. The key term is generative - meaning that behaviors and daily practice will be changed for the better as a consequence of the professional development experience. (McKenzie, 2001)
Technology enhances feedback and monitoring
Feedback and monitoring are essential in learning as well as in transfer learning. Feedback in mathematics is urgent. Like language, mistakes must be corrected during the time it was committed so that correction becomes meaningful and retention can follow. Table 3 shows how different approaches implement feedback. Given this listing, choosing appropriate technology to deliver feedback systems can be done in a more efficient manner.
Table 3. How approaches implement feedback mechanisms.
Behaviorism
Behaviorists would engineer feedback in the form of positive and negative reinforcers for learner behaviors, with the goal of encouraging desired behavior and discouraging undesired behavior. Software which punishes users for wrong answers and rewards for right answers is one example.Social  SituationalObserves consequences to models. Social learning feedback can take the form of learners having the opportunity to observe others (real or video or cartoon etc.) modeling behavior and experiencing consequences. This kind of feedback helps learners decide whether or not to engage in such behaviors themselves.ConstructivismChecks what knowledge was constructed. Constructivists want to understand what kind of knowledge constructions are happening within the learner, even though there is no emphasis on right or wrong.Collaborative LearningCompares notes with other learners. Collaborative learners float ideas to others and gauge their reactions, and listen to what others are thinking in order to compare it to their own ideas. Sometimes peer review can be set up to encourage further thinking.Source Michigan State University 2007
    Decades ago the time delay of feedback from homeworks negates the chance of learning. The teacher spends time checking these assignments that by the time it returns to the student, a new topic occupies the mind. The mistakes of past exercises are not meaningful anymore. Teachers tend to adhere to easy to check assessments that have low communicability in terms of telling the teacher how far and deep students insights are on the lessons.
Now, however, electronic mail, computer conferencing, and the World Wide Web increase opportunities for students and faculty to converse and exchange work much more speedily than before, and more thoughtfully and safely than when confronting each other in a classroom or faculty office. Total communication increases and, for many students, the result seems more intimate, protected, and convenient than the more intimidating demands of face-to-face communication with faculty. (Chickering 1996)
Implication on current educational practices
Overly contextualized curriculum may strengthen specialization but threaten adaptability.
Educational practices are conscious of transfer of learning. Educators who are field practitioners know the rudiments of the workplace. Some universities have realized the wisdom of getting professors who are not only researchers in the fields but at the same time practice their expertise. This conscious effort may get these administrators over excited into putting the context of the workplace into the classroom. When the student cant adapt these concepts to other context, the danger of overly contextualization is evident.
Success in transfer depends on analyzing situations and determining which skills are relevant. Certainly an important dimension differentiating situations for an individual is the amount of domain-specific knowledge he or she has in each situation. Some skills or principles may be relevant in domains in which one has much previous knowledge others may be relevant for domains in which one has little prior knowledge. (McKeachie, 1987)
Educators therefore need to know when to contextualize and when to refer to basic knowledge and skills. To increase transference, the objects that are fed to the students cognitive map are specific but at the same time general. An active learner teacher will be able to lead his students towards this attitude of learning where the approach is simple yet challenging. Mathematics is a domain that cuts across general domains. Success in transferring mathematical knowledge relies on the student finding familiar principles contained in domains that he will encounter. It is not the context that makes it successful. The mind explores the meaning behind the context. If the student is able to find meaning in the context then transference is successful.
Over contextualizing is just object overloading. The same is true with memorizing when the student can take in a thousand objects but retention is just 100.
Development of new teaching tools must approximate real work place situations in a general perspective.
There are hundreds of teaching tools, exercises, work plans and problem sets that teachers refer to when making lesson plans. Selection is a responsibility. Teachers select teaching tools that are appropriate. There are limitations though to this selection. The tools may not be available. The tools may be available but confidence of the teacher in using it is low. Funds are low and so the teacher has to scrounge for visuals, manipulatives and reference books thus maximizing existing low resource to the detriment of the learner.
Another limitation is that the teacher is not abreast with the current situation of the workplace. There was a time when teachers were afraid of using computers while computers were already being used in the field of work. Reaction on the use of technology for lessons from teachers became an issue because it challenged their faculties to learn the technology faster than their students.
Umbach in 1997 observed that in only 20 years, microcomputers have gone from a hobbyists toy to an everyday tool in business, education, and even home life. The last few years have seen explosive growth in the Internet and in its role in communications, commerce, and education. The rapid growth and development of this technology has challenged millions of people in many occupations to master often difficult tools and concepts, and will continue to do so as prices drop, power increases, and applications proliferate.

Thus far, most educators who use technology to implement the alternative types of pedagogy and curriculum are pioneers people who see continuous change and growth as an integral part of their profession and who are willing to swim against the tide of conventional operating proceduresoften at considerable personal cost. However, to achieve large-scale shifts in standard educational practices, many more teachers must alter their pedagogical approaches and schools management, institutional structure, and relationship to the community must change in fundamental ways. (Dede 2010)
Professors must reflect the attitudes of a holistic approach to technology education to better understand the evolutionary context of the modern workplace. Characteristics of a holistic approach in technology education is summarized in Table 3. 

Table 3. Characteristics of the holistic approach in technology education
Teacher Learner Curriculum Pedagogy sees self as a process guide
sees self as an architect of learning experiences during which students seek
knowledge and expertise from a range of sources
identifies broadly with design and technology
is interested in contemporary issues of design and technology
values innovation and creativity
embraces change and anticipates a professional life of learning.
enjoys creative activities and learning about different forms of technology
evaluates and critiques own work and the work of others
sees technical skills as a means of realising designs and plans
is curious about technology and emerging developments in technology
relates technology to human contexts.
defines processes and transferable ideas
is expressed in the language ideas and concepts
contains a futures focus
accommodates flexible approaches to programming 

models cognitive as well as physical processes
integrates theory and practice 
recognises a progression of learning
uses negotiated tasks and activities
places importance on social context
uses both individual and group work .

    Using these characteristics as guides, the teacher can be more confident in using technology for teaching and learning. Teachers need to realize that technology in the classroom is merely a tool. Technology motivates the learner because of its three dimensionalities and gadgetry tricks but the teacher has to make sure employing the right technology is crucial to retention. Razzle dazzle power point presentations can get a whoa from the classroom but over the years of using the power point programs, razzle dazzle merely gets the attention of the class for the first few seconds. The real benefit of these programs is the ease of presenting the modules. It can be prepared before the class, be used for the next classes and be updated in minutes. Decades ago, the teacher had to write the whole lesson on the blackboards over and over again.

    And this is also true in work places because presentations to top managers are done using power point presentations. This is just one example of how transference happens using similar objects found in the classroom that is also used in the workplace. Why teach Pagemaker when the workplace is using InDesign Why survey land with crude compasses when a GPS is accessible. If the teacher uses the crude compass in surveying, chances are the student will have to familiarize himself with the GPS when he is hired by a big surveying firm.

Teachers not only teach the subjects but guide students into learning how to learn.
Human beings move in three-dimensional fields. They grow in maturity. They grow through time. They grow through geographic placements. These dimensions offer human beings the chance to achieve their maximum potentials as human beings. The need to learn is innate. The discovery of how to make fire from friction was possible because the human mind is capable of learning. Human needs motivate exploration, deduction, integration and experimentation. Discovery is both a motivation and a reward.

In teaching math with due effort on making sure that transference is high, teachers help the students in learning how to learn. The student is inside the academe for only a limited number of years. Some just get limited certificates for a few weeks or months. Curriculums have to ensure that students finish school with enough tools so that transfer learning can take place.

Mathematics is a living subject which seeks to understand patterns that permeate both the world around us and the mind within us. Although the language of mathematics is based on rules that must be learned, it is important for motivation that students move beyond rules to be able to express things in the language of mathematics. This transformation suggests changes both in curricular content and instructional style. It involves renewed effort to focus on
Seeking solutions, not just memorizing procedures
Exploring patterns, not just memorizing formulas
Formulating conjectures, not just doing exercises.

As teaching begins to reflect these emphases, students will have opportunities to study mathematics as an exploratory, dynamic, evolving discipline rather than as a rigid, absolute, closed body of laws to be memorized. They will be encouraged to see mathematics as a science, not as a canon, and to recognize that mathematics is really about patterns and not merely about numbers. (National Research Council, 1989, p. 84)

Learning how to learn is crucial to an individual. The professor or mentor is not going to be there forever. Sooner than later, the student eventually becomes the mentor.  Learning how to learn is important because this process will become the perpetual professor beside the perpetual student who ventures into learning experiences that makes him become an integrated person. This is the highest goal of Western cultures. An integrated person is someone whose goals, values, thoughts and actions are in harmony someone who belongs to a network of relationships someone who accepts a place within a system of mutual responsibilities and shared meanings. (Gardner, 2001)
Student assessment strategies must promote adaptability.

Assessments are crucial for the student, teacher, administrator and community. A new graduate brings her credentials when looking for a job. His past thesis or recommendations from professors is based on how he fared in his studies. This assessment bridges the university and the workplace. It also bridges the student and the new worker. Assessment therefore is a crucial element that describes transference.

Assessment involves the who, what, where, when, and how. Its been said that in life, timing is everything. As in life, assessments performed at crucial times in the learning process can spell the difference between gathering data to evaluate students and using assessments to enhance learning. Based on timing and purpose, four functions of assessment data are
Formative assessment provides diagnostic feedback to students and instructors at short-term intervals (e.g., during a class or on a weekly basis)
Summative assessment provides a description of students level of attainment upon completion of an activity, module, or course

Evaluative assessment provides instructors with curricular feedback (e.g., the value of a field trip or oral presentation technique)

Educative assessment integrated within learning activities themselves, educative assessment builds student (and faculty) insight and understandings about their own learning and teaching. (SP 2010)
Assessments measure retention of learning. In turn, retention is key to adaptability. Some assessment exams bring the learner to different situations. And ask the learner to apply concepts learned to the situation. Multiplication is evident in other tertiary concepts such as summation, ratio and proportion, conversion and even statistics and accounting. High rates of assessment of the multiplication concept relates to the students success in finding himself in the fields of engineering, business, physics or economics. Assessment is a pathway guiding the learner to where he can successfully transfer his learned skills.

Assessments measure learning capacities. This is evident in creative assessments. A mere true and false type of quiz will compute a students exact knowledge of the subject matter. Attaching the question why to the items on the quiz enables the teacher to know how deep the students insights are. Creative assessments can look into the how the students think and learn rather than just stockpile contents of their cognitive maps.

Educators need to regularly assess their assessment styles in order for assessments to be effective as venues where learning how to learn. A list of questions that can guide the assessment style are
Who conducts the assessment and why
What are the objectives of the assessment
Is the assessment creative If not, how can it be creative
Where will the assessment be conducted Why
How will the assessment be conducted
The implications on educational practices are summarized by Martin in 2003. Educators and educational institutions must
Teach students how to create and apply technology to serve their own purposes and to serve other people. This requires that they develop skills and capacities to design. 
Teach students to consider the appropriateness of the technologies they use and how their use of technology may impact on other people and the environment.
Provide learning experiences in which students consider futures and the types of actions we must take today to produce futures that we may desire.
Provide a broad range of technological experiences and frequent opportunities for students to transfer their learning to new contexts.
Encourage students to think broadly about technology and to appreciate its role and impacts in the wider community.
Provide students with experiences that develop confidence and enthusiasm for learning about technology. (Learning to learn technology is a critical skill for all young people. It would seem that those who continue to learn about technology will be the ones who shape technological change into the future.)

Teach students to value the human ingenuity and creativity that has produced the products, systems, services or environments that are part of all cultures.

Summary
Transfer of learning is about the process of adapting knowledge, skills and attitudes learned in the classroom to the work place. Each student embarks on education to equip him with skills so that his life can become meaningful to himself, his family, his work, his community and to society in general. Mathematics is one of the essential subjects taught in school to equip the student with basic, functional, quantitative and numeric literacy. Unfortunately, teachers have been perennially challenged in the math transference.

Different learning pedagogies have different approaches in delivering mathematics skills. Transfer of learning is dependent firstly on existing concepts that the student has. From behaviorist to constructivist paradigms, teachers and students continually relate with the subject matters like mathematics to increase stock knowledge, skills and attitudes of the learner. Upon graduation, teachers and students sit and hope that they can hopefully transfer the learning to the workplace. A mix of these pedagogies with constructivist theory leading the way and an in-depth analysis of the students learning style, the teacher is able to construct the most effective lesson that promotes transfer of learning.

To complicate matters with regard to transfer of learning are urgent issues that needs to be addressed. The evolving communities cannot wait. The vacuum for good workers cannot get larger because then there will be an imbalance in the domains. Companies can only increase their training budgets so much. As it is, training is a given in the corporate structure and budgets. Universities must do their share in training and transferring. 

There are instructional strategies that promote transfer of learning. There are strategies that hinder it. Active models reinforce adaptability while memorization doesnt help especially in the fields of mathematics. Technology helps transference because these are objects part of the realms of both academe and workplace. Technology helps deliver target learning in an efficient and effective way.
In conclusion, the objective of transference or the transfer of learning is the objective of all universities, to be able to mold character and competence into an individual so that he or she may be able to differentiate himself from his peers and integrate into his immediate community and become a self-actualized person. Constructivism increases the likelihood of transfer of learning because it equips the individual with readily accessible tools that can use to build more learning.

The most important part of Mathematics is not the calculations on the calculators nor the computations of the engineers designs. Mathematics teaches discipline, fortitude, and perseverance to know the truth. If individuals are able to do good work in their particular roles, then for sure, the transfer of learning has been successful.