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Differentiated instruction implementation in primary schools : linking psychological factors in students and teachers to achievement

(2017)
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Abstract
Student diversity has becomes the norm in today’s classrooms (Subban, 2006). This trend can also be observed in Indonesian schools (Hamdan & Mattarima, 2012). Learners mirror a large variety in differences; e.g. learner interests, abilities, learning speed, learning styles, developmental level, language level, ability level, attitudes, cultural background, etc. (Moore, 2005; Tomlinson, 2001). The traditional one-size-fits-all instructional strategy – building on single teaching strategy – neglects these student characteristics, and differences in student needs (Fox & Hoffman, 2011). The key solution is to adopt teaching strategies that cater for student diversity (Heacox, 2012; Subban, 2006; Tomlinson, 2014) since all learners deserve good education to achieve optimum learning outcomes (Yun, 2007). Quality of education in Indonesia, the context of the studies discussed in this PhD, faces clear challenges. One major challenge is related to the low academic achievement of learners as reflected in international reports about student achievement (Mullis, Martin, Foy, & Arora, 2012; OECD, 2016a, 2016b; Pearson, 2014). Another is related to low teaching quality (Raihani, 2007; Sofo, Fitzgerald, & Jawas, 2012; Sumintono & Raihani, 2010; Sumintono & Subekti, 2014; Zulfikar, 2009). Thirdly, we observe a gap between public and private schools that is reflected in the allocation of funding (Heyneman & Stern, 2014; Stern & Smith, 2016), academic achievement (Newhouse & Beegle, 2006; PUSPENDIK, 2015), salary levels of teachers, teacher motivation (DeRee, Muralidharan, Pradhan, & Rogers, 2015), the number of certified teachers and the level of access to teacher professional development (Künkler & Lerner, 2016). To deal with diverse students as well as to improve the academic achievement, many authors suggest to apply Differentiated Instruction (DI) (Fox & Hoffman, 2011; Subban, 2006; Tomlinson, 2014). DI is instructional approach emphasizing that every student is unique, inherently different, and learns in a different way (Fogarty & Pete, 2011; Tomlinson, 1995), offering students a more responsive and personalized learning experience (Fox & Hoffman, 2011), as well as engaging them in activities that better respond to their particular learning needs, strengths, and preferences (Heacox, 2012). DI implementation incorporates the psychological factors of teachers, such as teacher self-efficacy (Dixon, Yssel, McConnell, & Hardin, 2014; Wan, 2015; Wertheim & Leyser, 2002), and teaching beliefs (Cross, 2009; He & Levin, 2008; Valcke, Sang, Rots, & Hermans, 2010). It also involves other related factors such teaching experience (Donnell & Gettinger, 2015; Hargreaves, 2005), professional development (Dixon et al., 2014; Donnell & Gettinger, 2015; Rienties, Brouwer, & Lygo-Baker, 2013), teacher certification, and classroom characteristics (Subban, 2006). Differentiated instruction receives diverse labels such as ‘differentiated assessment’, ‘inclusion’, ‘student-centered’ (Fox & Hoffman, 2011), ‘individualized instruction’ (Hattie, 2009), ‘adaptive instruction’, ‘personalized learning’ (Waxman, Alford, & Brown, 2013), ‘response to intervention’ (Fox & Hoffman, 2011), and ‘Universal Design of Learning’ (UDL) (Hall, Strangman, & Meyer, 2014). Those different labels share the same idea. This is why we put forward the following general DI definition for this PhD: Differentiated instruction is an instructional approach that accommodates the diversity of students by (1) coping with student diversity, (2) adopting specific teaching strategies, (3) invoking a variety in learning activities, (4) monitoring individual student need, and (5) pursuing optimal learning outcomes. Meanwhile, DI is also approaches in different ways, which consequently implies that choices have to be made. This pushes us to define a particular implementation definition of DI. Firstly, we opt for grouping as a key design feature of a specific DI intervention. Secondly, we opt for “math ability” grouping. Next, we choose specific supporting strategies that foster cognitive processing approach (exercising math) and metacognitive processing. Lastly we provide individual and peer support that gives timely feedback in line with student capabilities. These choices help in presenting a more operational definition of DI. This DI approach – in the context of this PhD - has been studied via an intervention set up in Indonesian primary schools: Differentiated instruction is an instructional approach accommodating the diversity of students by (1) coping with student diversity in math ability levels, (2) adopting specific teaching strategies; ability grouping, (3) invoking a variety of mathematics learning experience by presenting lots of exercising possibilities; (4) monitoring individual student needs; follow-up and feedback by peers/teacher, (5) pursuing optimal learning outcomes; controlling of the time distance between instruction and exercising of the new content with or without metacognitive support. Weaker ability students will get faster instructional opportunities and feedback. Since the literature suggest that psychological factors play an important role in learners and how these factors affect achievement (Aronson, 2002; Neroni, Gijselaers, Kirschner, & Groot, 2015), , we also look in the context of this dissertation at the psychological factors: self-efficacy, motivation, and anxiety related to mathematics as psychological factors in learners. Above we gave a brief summary of research context and conceptual framework of the dissertation that have been extensively explained in the first six chapters of this dissertation. In the next paragraphs we further discuss the research objectives of this dissertation and how the research studies are linked to the research objectives. Research objectives Research objective 1. To explore the nature and the extent of DI implementation in Indonesian school. The first research objective dealt with the actual implementation of DI by teachers in their daily teaching and learning activities. The study examined two aspects: (1) the nature and (2) the extent of DI implementation in Indonesian schools. Furthermore, the study also examined potential differences in the DI implementation between public and private schools. Research objective 2. To examine the relationship between teachers’ DI self-efficacy and teaching beliefs and other related factors to the DI implementation in Indonesian School. The second research objective was to assess DI implementation and how this was related to teachers’ psychological and other factors. In this study, we mainly focused on two psychological teacher factors; i.e. teacher DI self-efficacy, and teaching beliefs. The other factors are linked teacher experience and teaching certification and two school level factors: professional development and classroom size. Research objective 3. To investigate the impact of DI intervention on the student achievement. The third research objective was to examine the impact of a DI intervention on student achievement. The DI intervention adopted in the study built on grouping and metacognitive instruction. The study took into account psychological factors of the students, i.e. math motivation, math efficacy, and math anxiety. Research objective 4. To investigate the effectiveness of DI intervention in helping struggling learners. Our fourth research objective dealt with the effectiveness of DI intervention in helping more in particular struggling learners. The study involved three different ability groups based on their mathematics capabilities, i.e. low ability, medium ability, and high ability. We considered the low ability group as the struggling learners. Overview of the chapters presented in this dissertation Chapter 2: Differentiated instruction in primary schools: Implementation and challenges in Indonesia. The study was based on a teacher survey, administered to a sample of 604 Indonesian primary schools in the most populated province, Jakarta. Both qualitative and quantitative analyses were carried out to assess the nature and the extent of DI implementation. We focused on five DI-dimensions, following our general DI definition. The results show that the nature of actual DI implementation in these Indonesian primary schools is varied. Considering the first dimension, coping with student diversity, most teachers feel realistic, as they want their students to succeed. They adopt appropriate teaching strategies. In view of the second dimension, adopting specific teaching strategies, the teachers mainly opt for grouping students in their teaching and learning activities. Furthermore, they do not agree with the one-size-fits-all (OSFA) strategy. They explicitly state this OSFA cannot accommodate student diversity. Related to the third dimension, invoking a variety in learning activities, the teachers help students being active in the class in view of comprehension of what is to be learned. Most teachers agree on the need to select different learning activities for different students. In relation to the fourth DI dimension, monitoring individual student needs, the majority of teachers agree to monitor individual students as a key responsibility of a teacher. They try to understand the nature of specific student characteristics and needs. The fifth DI dimension, pursuing optimal learning outcomes, pushes teachers to opt for active learning, to motivate students and to give extra time for remedial and enrichment activities, following the needs of a student. Studying the extent of DI implementation, we observed a DI implementation index score of 7.31/10. The score seems high. But it is lower compared to the benchmark of mastery learning (Zimmerman & Dibenedetto, 2008) of 80%. This finding reflects the need for Indonesian teachers to improve their DI implementation. None of the five DI decision dimensions (see definition) reflects scores that are at par with the benchmark. The fact that the DI implementation in Indonesia is below par, stresses the need to invest heavily in teacher professional development and to pay attention to a reorientation in Indonesian teacher education. Chapter 3: The implementation of differentiated instruction in Indonesia: A comparison between public and private schools This study was based on data from 294 public primary school teachers, and 310 private school teachers. The analysis results revealed – as expected - a significant gap between both types of school. The public school teachers reported a significantly higher extent of DI implementation than their counterparts in private schools. The significant difference is observed in some major decision dimensions in DI: dimension 1, coping with student diversity; dimension 4, monitoring individual students need; and dimension 5, pursuing optimal learning outcome. These particular findings reiterate the gaps – already reported in the literature – in the quality of public and private school as reflected e.g., in operational funds (Heyneman & Stern, 2014), and student performance (Newhouse & Beegle, 2006; PUSPENDIK, 2015), salary levels of teachers and teacher motivation (DeRee et al., 2015), the number of certified teachers and the level of access to teacher professional development (Künkler & Lerner, 2016). Our findings corroborate the need to equally support both types of schools, as all students deserve optimal quality in teaching and learning (Yun, 2007). Moreover, the privileges of public schools result in an imbalance in the quality of education in Indonesia (Heyneman & Stern, 2014). Chapter 4: Teacher and their implementation of differentiated instruction in the classroom The results of this study show a significant and positive relationship between all variables (DI self-efficacy, teaching beliefs, teaching experience, teacher certification, professional development, classroom size) and the level of DI implementation. DI self-efficacy seems to contribute significantly and strongly to the level of DI implementation, but the association of constructivist teaching beliefs remains low. Moreover, the traditional management teaching beliefs seem not significantly associated. Our findings mainly support the importance of teachers’ self-efficacy as a predictor of changes in DI practices in primary school teachers (De Neve, Devos, & Tuytens, 2015), and teachers’ intention to frequently adopt DI practices (Wertheim & Leyser, 2002). On the other hand, our assumptions as to the linkage between teaching beliefs and DI adoption are hardly confirmed. It might be because in this study, we did not let our teachers focus on a specific content domain when studying their teaching beliefs. The literature in relation to beliefs often stresses that beliefs should be contextualized (Pajares, 1992). Next, we also observed no significant contribution of teaching experience, teacher certification, and teacher professional development to teacher’s level of DI implementation. But, the contextual factor “classroom size” was significantly linked. This finding implies that the bigger the classroom, the higher the need to implement DI to accommodate student diversity (Subban, 2006; Tomlinson et al., 2003). The results in relation to teacher experience are not surprising. Donnell and Gettinger (2015) also found no significant relationship between teaching experience and adoption of innovative teaching practices. Our sampling framework could have been the cause, by including a disproportional large number of teachers with a particular experience level. Also, the relationship between experience and adoption of innovations is not always linear: more experience – higher adoption (Hargreaves, 2005). The insignificant relation between PD and DI implementation is striking. This might be related to the nature of the PD content, the teachers reported no explicit focus on DI. Another reason might be related to the lack of PD that is relevant for the real classroom context as also raised by Luschei and Zubaidah (2012). Also, we can link this to the still predominant central policy influences in Indonesian education. Teachers still rely heavily on the directives of central authorities and - though teacher and school autonomy is increasing - hardly make use of local autonomy to implement local practices and policies (Bjork, 2005). Chapter 5: The impact of differentiated instruction on student achievement: Grouping and metacognitive support as key design variables This chapter is based on the quasi-experimental study involving 223 students, assigned to 3 research conditions: 59 students in a grouping, 53 students in a grouping + MCI, and 111 students in a control condition. The study analyzed the differential impact of the DI-intervention approaches on math learning performance. Analysis of research result revealed that DI-grouping had a significant differential and positive impact on math performance. Learners in this condition outperformed learners in the two other conditions. Surprisingly, learners in the grouping + MCI condition performed significantly worse than those in the grouping condition and not significantly different from learners in the control group. The impact of DI-grouping corroborates the findings reported in the literature; especially when looking at implementations in the mathematics domain (Lou, 2013; McQuarrie & McRae, 2010). These results confirm our theoretical expectations about the impact of the ZPD in comparable ability group settings. Teachers seem to be better able to accommodate the level of learners when tackling exercises when student diversity is manageable and the distance between the current level and the next development level is somewhat smaller in a group of learners being supported at the same time. Next, the fact the DI grouping + MCI intervention did not produce the expected outcomes, is surprising. Reasons to explain this are found in the fact that MCI needs time to have an impact (see Gourgey, 1998), it requires extra cognitive resources that already is being used to tackle new math learning content, and it requires extra time and effort (Schwartz et al., 2009). Math efficacy had a significant impact on math achievement. However, math anxiety, and math motivation had no significant impact. We refer in this context to the integration of the intervention in the regular classroom activities. The intervention was set up during two of the four math lessons in the same week. This implies that students still experienced the “traditional” math instructional approach during the non-DI lessons. This might have caused inconsistencies in learner experiences and introduced uncontrolled bias in the study. In addition, the DI intervention was only integrated in the math lessons and not in language learning lessons, science classes, physical education, etc. Research shows that conditions for successful innovations or change often depend on the scale of the innovation and the extent to which the innovation is sufficiently comprehensive and school-wide. Chapter 6: Helping struggling learners: Evaluating the implementation of differentiated instruction. The study involved 69 low ability learners, 81 medium ability learners, and 73 high ability learners. The findings of this last study showed that the DI intervention seems beneficial for all students. When looking at the significant differential positive impact of grouping, all learners of different ability levels appeared to have gained academically. This reiterates the findings of Hanushek, Kain, Markman, and Rivkin (2003), who also found that group interactions and peer influences are beneficial for the full range of learner abilities. It appears that supporting learners in their Zone of Proximate Development works for all ability levels. Nevertheless, our results also showed that high ability learners keep outperforming the other ability groups. But, especially when taking initial math performance into account, the impact of the DI intervention is not always linear. It was remarkable to see that middle ability level learners reflected higher scores as compared to low and high ability learners in the grouping + MCI condition. Though this DI intervention did not result in significantly higher math performance, compared to learners in the control condition, it was nevertheless worth noting how middle ability level learners reacted differently to the MCI approach. This urges us at least to be careful in our expectations as to the “linear” impact of interventions. Montague, Krawec, Enders, and Dietz (2014) referred to this when studying the impact of cognitive strategy instruction in middle school. Implications of the findings in this dissertation Theoretical implications The results empirically link teacher DI self-efficacy and teaching beliefs to levels of DI implementation. This also strengthens theoretical models of teacher professionalism and the Onion model of Korthagen that interlinks behavior, competences and underlying factors. The findings in our DI intervention study imply that we can underpin theoretical assumptions about ability grouping and how DI reinforces the mechanisms as defined in Vygotsky’s theory about the Zone of Proximate Development (Vygotsky, 1980). Grouping and ability grouping seem to empirically ground these assumptions. Practical implications As to practical implications, the findings of the first studies (chapter 2) push the school to consider psychological factors in teachers, i.e. Self-efficacy and teaching beliefs, when developing programs for teacher education and teacher professional development (PD). Teachers should be confronted with their own teaching beliefs, their own behavior, and their own competences. This requires more in-depth, longer duration and active PD approaches. Policy implications From a policy perspective, an innovation plan should be set up that interlinks teacher professional development, teacher initial training, school support, school policy development and school monitoring. At the same time, school principals could be made accountable to map and track the teaching approaches of their teachers to cater for student diversity. School based monitoring, considering the particular school diversity, should be established and schools/principals should be empowered with tools and expertise to monitor learner and teacher progress. A collaboration with universities and teacher education institutes could be beneficial in this context to pool expertise. The fact that DI implementation in Indonesia is still below par, leads to a strong recommendation to the Indonesian educational authorities to look in-depth at teacher professional development (PD) programs in Indonesia both for pre-service teachers and for in-service teachers. Towards a comprehensive approach to implement DI in Indonesia, some grounding ideas The findings of the studies in the present PhD, our discussion of the results, an analysis of limitations and a first projection of implications are helpful to draft the outline of a more comprehensive approach to implement differentiated instruction in Indonesia. Firstly, we propose strengthening initial teacher education. The teacher education has a significant role in improving quality of teaching, and therefore the initial teacher education in teacher education institution needs to be improved. Secondly, we propose an enhancement of the quantity and quality of professional development (PD). The result of the fourth chapter in this PhD thesis revealed that 27% of the participating teachers never attended PD. This is strange and crucial, as teacher is the key player in an education setting that should receive opportunities for continuous upgrading their professional competences. The research has shown that PD has significantly improves teacher professionalism (Rienties et al., 2013), and school quality (Hoque, Alam, & Abdullah, 2011), as well as educational reforms (Barmby, Bolden, Raine, & Thompson, 2013). Therefore, educational authorities, including school principals, should empower and encourage all teachers to actively participate in PD programs. Thirdly, we want to redefine the role of the principal / school leader. School leaders significantly influence teacher motivation, commitment, and overall beliefs about their working conditions, which in turn can result in improvements in classroom level teaching and learning (Leithwood, Harris, & Hopkins, 2008). For that reason, principals and school leaders need to develop an empathic understanding of teachers and actively work to develop these capacities. Fourthly, we propose pushing collegial consultation. The success of a shared school vision depends on its responsiveness to internal and external environments, including the local community and broader context (Penlington, Kington, & Day, 2008). Also, collaboration between schools in the same district is highly recommended. The collaboration could involve teacher education institutes/universities. Authors suggest that well-developed professional learning communities have a positive impact on both teaching practice and student achievement (Vescio, Ross, & Adams, 2008). Lastly, empower a teacher certification program. The enactment of teacher certification programs by Indonesian Government aimed at improving teaching quality, and therefore improving academic outcomes (Jalal, 2009). Empowering teacher certification programs could also imply involving other stakeholders (students and parents) to enrich the supporting assessment of teacher teaching quality. The government should also set periodical assessment to guarantee the certified teachers to apply good quality teaching that results in good academic outcome. This can be a motivation for teachers to improve their skills and capabilities.
Keywords
differentiated, beliefs, teacher, Indonesia

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Chicago
Suprayogi, Muhamad Nanang. 2017. “Differentiated Instruction Implementation in Primary Schools : Linking Psychological Factors in Students and Teachers to Achievement”. Gent ; Belgium: Faculteit Psychologie en Pedagogische wetenschappen.
APA
Suprayogi, M. N. (2017). Differentiated instruction implementation in primary schools : linking psychological factors in students and teachers to achievement. Faculteit Psychologie en Pedagogische wetenschappen, Gent ; Belgium.
Vancouver
1.
Suprayogi MN. Differentiated instruction implementation in primary schools : linking psychological factors in students and teachers to achievement. [Gent ; Belgium]: Faculteit Psychologie en Pedagogische wetenschappen; 2017.
MLA
Suprayogi, Muhamad Nanang. “Differentiated Instruction Implementation in Primary Schools : Linking Psychological Factors in Students and Teachers to Achievement.” 2017 : n. pag. Print.
@phdthesis{8535704,
  abstract     = {Student diversity has becomes the norm in today{\textquoteright}s classrooms (Subban, 2006). This trend can also be observed in Indonesian schools (Hamdan \& Mattarima, 2012). Learners mirror a large variety in differences; e.g. learner interests, abilities, learning speed, learning styles, developmental level, language level, ability level, attitudes, cultural background, etc.  (Moore, 2005; Tomlinson, 2001). The traditional one-size-fits-all instructional strategy -- building on single teaching strategy -- neglects these student characteristics, and differences in student needs (Fox \& Hoffman, 2011). The key solution is to adopt teaching strategies that cater for  student diversity (Heacox, 2012; Subban, 2006; Tomlinson, 2014) since all learners deserve good education to achieve optimum learning outcomes (Yun, 2007).
Quality of education in Indonesia, the context of the studies discussed in this PhD, faces clear challenges. One major challenge is related to the low academic achievement of learners as reflected in international reports about student achievement (Mullis, Martin, Foy, \& Arora, 2012; OECD, 2016a, 2016b; Pearson, 2014). Another is related to low teaching quality (Raihani, 2007; Sofo, Fitzgerald, \& Jawas, 2012; Sumintono \& Raihani, 2010; Sumintono \& Subekti, 2014; Zulfikar, 2009). Thirdly, we observe a gap between public and private schools that is reflected in the allocation of funding (Heyneman \& Stern, 2014; Stern \& Smith, 2016), academic achievement (Newhouse \& Beegle, 2006; PUSPENDIK, 2015), salary levels of teachers, teacher motivation (DeRee, Muralidharan, Pradhan, \& Rogers, 2015), the number of certified teachers and the level of access to teacher professional development (K{\"u}nkler \& Lerner, 2016).
To deal with diverse students as well as to improve the academic achievement, many authors suggest to apply Differentiated Instruction (DI) (Fox \& Hoffman, 2011; Subban, 2006; Tomlinson, 2014). DI is instructional approach emphasizing that every student is unique, inherently different, and learns in a different way (Fogarty \& Pete, 2011; Tomlinson, 1995), offering students a more responsive and personalized learning experience (Fox \& Hoffman, 2011), as well as engaging them in activities that better respond to their particular learning needs, strengths, and preferences (Heacox, 2012).
\unmatched{0009}DI implementation incorporates the psychological factors of teachers, such as teacher self-efficacy (Dixon, Yssel, McConnell, \& Hardin, 2014; Wan, 2015; Wertheim \& Leyser, 2002), and teaching beliefs (Cross, 2009; He \& Levin, 2008; Valcke, Sang, Rots, \& Hermans, 2010). It also involves other related factors such teaching experience (Donnell \& Gettinger, 2015; Hargreaves, 2005), professional development (Dixon et al., 2014; Donnell \& Gettinger, 2015; Rienties, Brouwer, \& Lygo-Baker, 2013), teacher certification, and classroom characteristics (Subban, 2006).
Differentiated instruction receives diverse labels such as {\textquoteleft}differentiated assessment{\textquoteright}, {\textquoteleft}inclusion{\textquoteright}, {\textquoteleft}student-centered{\textquoteright} (Fox \& Hoffman, 2011), {\textquoteleft}individualized instruction{\textquoteright} (Hattie, 2009), {\textquoteleft}adaptive instruction{\textquoteright}, {\textquoteleft}personalized learning{\textquoteright} (Waxman, Alford, \& Brown, 2013), {\textquoteleft}response to intervention{\textquoteright} (Fox \& Hoffman, 2011), and {\textquoteleft}Universal Design of Learning{\textquoteright} (UDL) (Hall, Strangman, \& Meyer, 2014). Those different labels share the same idea. This is why we put forward the following general DI definition for this PhD: Differentiated instruction is an instructional approach that accommodates the diversity of students by (1) coping with student diversity, (2) adopting specific teaching strategies, (3) invoking a variety in learning activities, (4) monitoring individual student need, and (5) pursuing optimal learning outcomes.
Meanwhile, DI is also approaches in different ways, which consequently implies that choices have to be made. This pushes us to define a particular implementation definition of DI. Firstly, we opt for grouping as a key design feature of a specific DI intervention. Secondly, we opt for {\textquotedblleft}math ability{\textquotedblright} grouping. Next, we choose specific supporting strategies that foster cognitive processing approach (exercising math) and metacognitive processing. Lastly we provide individual and peer support that gives timely feedback in line with student capabilities.
These choices help in presenting a more operational definition of DI. This DI approach -- in the context of this PhD - has been studied via an intervention set up in Indonesian primary schools: Differentiated instruction is an instructional approach accommodating the diversity of students by (1) coping with student diversity in math ability levels, (2) adopting specific teaching strategies; ability grouping, (3) invoking a variety of mathematics learning experience by presenting lots of exercising possibilities; (4) monitoring individual student needs; follow-up and feedback by peers/teacher, (5) pursuing optimal learning outcomes; controlling of the time distance between instruction and exercising of the new content with or without metacognitive support. Weaker ability students will get faster instructional opportunities and feedback.
Since the literature suggest that psychological factors play an important role in learners and how these factors affect achievement (Aronson, 2002; Neroni, Gijselaers, Kirschner, \& Groot, 2015), , we also look in the context of this dissertation at the psychological factors: self-efficacy, motivation, and anxiety related to mathematics as psychological factors in learners.
Above we gave a brief summary of research context and conceptual framework of the dissertation that have been extensively explained in the first six chapters of this dissertation. In the next paragraphs we further discuss the research objectives of this dissertation and how the research studies are linked to the research objectives.

Research objectives
Research objective 1. To explore the nature and the extent of DI implementation in Indonesian school.
The first research objective dealt with the actual implementation of DI by teachers in their daily teaching and learning activities. The study examined two aspects: (1) the nature and (2) the extent of DI implementation in Indonesian schools. Furthermore, the study also examined potential differences in the DI implementation between public and private schools.
Research objective 2. To examine the relationship between teachers{\textquoteright} DI self-efficacy and teaching beliefs and other related factors to the DI implementation in Indonesian School.
The second research objective was to assess DI implementation and how this was related to teachers{\textquoteright} psychological and other factors.  In this study, we mainly focused on two psychological teacher factors; i.e. teacher DI self-efficacy, and teaching beliefs. The other factors are linked teacher experience and teaching certification and two school level factors: professional development and classroom size.

Research objective 3. To investigate the impact of DI intervention on the student achievement.
The third research objective was to examine the impact of a DI intervention on student achievement. The DI intervention adopted in the study built on grouping and metacognitive instruction. The study took into account psychological factors of the students, i.e. math motivation, math efficacy, and math anxiety. 
Research objective 4. To investigate the effectiveness of DI intervention in helping struggling learners.  
Our fourth research objective dealt with the effectiveness of DI intervention in helping more in particular struggling learners. The study involved three different ability groups based on their mathematics capabilities, i.e. low ability, medium ability, and high ability. We considered the low ability group as the struggling learners. 

Overview of the chapters presented in this dissertation
Chapter 2: Differentiated instruction in primary schools: Implementation and challenges in Indonesia.
The study was based on a teacher survey, administered to a sample of 604 Indonesian primary schools in the most populated province, Jakarta. Both qualitative and quantitative analyses were carried out to assess the nature and the extent of DI implementation. We focused on five DI-dimensions, following our general DI definition. The results show that the nature of actual DI implementation in these Indonesian primary schools is varied. Considering the first dimension, coping with student diversity, most teachers feel realistic, as they want their students to succeed. They adopt appropriate teaching strategies. In view of the second dimension, adopting specific teaching strategies, the teachers mainly opt for grouping students in their teaching and learning activities. Furthermore, they do not agree with the one-size-fits-all (OSFA) strategy. They explicitly state this OSFA cannot accommodate student diversity. Related to the third dimension, invoking a variety in learning activities, the teachers help students being active in the class in view of comprehension of what is to be learned. Most teachers agree on the need to select different learning activities for different students. In relation to the fourth DI dimension, monitoring individual student needs, the majority of teachers agree to monitor individual students as a key responsibility of a teacher. They try to understand the nature of specific student characteristics and needs. The fifth DI dimension, pursuing optimal learning outcomes,  pushes teachers to opt for active learning, to motivate students and to give extra time for remedial and enrichment activities, following the needs of a student. Studying the extent of DI implementation, we observed a DI implementation index score of 7.31/10. The score seems high. But it is lower compared to the benchmark of mastery learning (Zimmerman \& Dibenedetto, 2008) of 80\%. This finding reflects the need for Indonesian teachers to improve their DI implementation.  None of the five DI decision dimensions (see definition) reflects scores that are at par with the benchmark. The fact that the DI implementation in Indonesia is below par, stresses the need to invest heavily in teacher professional development and to pay attention to a reorientation in Indonesian teacher education. 

Chapter 3: The implementation of differentiated instruction in Indonesia: A comparison between public and private schools
This study was based on data from 294 public primary school teachers, and 310 private school teachers. The analysis results revealed -- as expected - a significant gap between both types of school. The public school teachers reported a significantly higher extent of DI implementation than their counterparts in private schools. The significant difference is observed in some major decision dimensions in DI: dimension 1, coping with student diversity; dimension 4, monitoring individual students need; and dimension 5, pursuing optimal learning outcome. These particular findings reiterate the gaps -- already reported in the literature -- in the quality of public and private school as reflected e.g., in operational funds (Heyneman \& Stern, 2014), and student performance (Newhouse \& Beegle, 2006; PUSPENDIK, 2015), salary levels of teachers and teacher motivation (DeRee et al., 2015), the number of certified teachers and the level of access to teacher professional development (K{\"u}nkler \& Lerner, 2016). Our findings corroborate the need to equally support both types of schools, as all students deserve optimal quality in teaching and learning (Yun, 2007). Moreover, the privileges of public schools result in an imbalance in the quality of education in Indonesia (Heyneman \& Stern, 2014).

Chapter 4: Teacher and their implementation of differentiated instruction in the classroom
The results of this study show a significant and positive relationship between all variables (DI self-efficacy, teaching beliefs, teaching experience, teacher certification, professional development, classroom size) and the level of DI implementation. DI self-efficacy seems to contribute significantly and strongly to the level of DI implementation, but the association of constructivist teaching beliefs remains low. Moreover, the traditional management teaching beliefs seem not significantly associated. Our findings mainly support the importance of teachers{\textquoteright} self-efficacy as a predictor of changes in DI practices in primary school teachers (De Neve, Devos, \& Tuytens, 2015), and teachers{\textquoteright} intention to frequently adopt DI practices (Wertheim \& Leyser, 2002). On the other hand, our assumptions as to the linkage between teaching beliefs and DI adoption are hardly confirmed. It might be because in this study, we did not let our teachers focus on a specific content domain when studying their teaching beliefs. The literature in relation to beliefs often stresses that beliefs should be contextualized (Pajares, 1992).
Next, we also observed no significant contribution of teaching experience, teacher certification, and teacher professional development to teacher{\textquoteright}s level of DI implementation. But, the contextual factor {\textquotedblleft}classroom size{\textquotedblright} was significantly linked. This finding implies that the bigger the classroom, the higher the need to implement DI to accommodate student diversity (Subban, 2006; Tomlinson et al., 2003). The results in relation to teacher experience are not surprising. Donnell and Gettinger (2015) also found no significant relationship between teaching experience and adoption of innovative teaching practices. Our sampling framework could have been the cause, by including a disproportional large number of teachers with a particular experience level. Also, the relationship between experience and adoption of innovations is not always linear: more experience -- higher adoption (Hargreaves, 2005). The insignificant relation between PD and DI implementation is striking. This might be related to the nature of the PD content, the teachers reported no explicit focus on DI. Another reason might be related to the lack of PD that is relevant for the real classroom context as also raised by Luschei and Zubaidah (2012). Also, we can link this to the still predominant central policy influences in Indonesian education. Teachers still rely heavily on the directives of central authorities and - though teacher and school autonomy is increasing - hardly make use of local autonomy to implement local practices and policies (Bjork, 2005). 

Chapter 5: The impact of differentiated instruction on student achievement: Grouping and metacognitive support as key design variables
This chapter is based on the quasi-experimental study involving 223 students, assigned to 3 research conditions: 59 students in a grouping, 53 students in a grouping + MCI, and 111 students in a control condition. The study analyzed the differential impact of the DI-intervention approaches on math learning performance. Analysis of research result revealed that DI-grouping had a significant differential and positive impact on math performance. Learners in this condition outperformed learners in the two other conditions. Surprisingly, learners in the grouping + MCI condition performed significantly worse than those in the grouping condition and not significantly different from learners in the control group. The impact of DI-grouping corroborates the findings reported in the literature; especially when looking at implementations in the mathematics domain (Lou, 2013; McQuarrie \& McRae, 2010). These results confirm our theoretical expectations about the impact of the ZPD in comparable ability group settings. Teachers seem to be better able to accommodate the level of learners when tackling exercises when student diversity is manageable and the distance between the current level and the next development level is somewhat smaller in a group of learners being supported at the same time. Next, the fact the DI grouping + MCI intervention did not produce the expected outcomes, is surprising. Reasons to explain this are found in the fact that MCI needs time to have an impact (see Gourgey, 1998), it requires extra cognitive resources that already is being used to tackle new math learning content, and it requires extra time and effort (Schwartz et al., 2009). 
Math efficacy had a significant impact on math achievement. However, math anxiety, and math motivation had no significant impact. We refer in this context to the integration of the intervention in the regular classroom activities. The intervention was set up during two of the four math lessons in the same week. This implies that students still experienced the {\textquotedblleft}traditional{\textquotedblright} math instructional approach during the non-DI lessons. This might have caused inconsistencies in learner experiences and introduced uncontrolled bias in the study. In addition, the DI intervention was only integrated in the math lessons and not in language learning lessons, science classes, physical education, etc. Research shows that conditions for successful innovations or change often depend on the scale of the innovation and the extent to which the innovation is sufficiently comprehensive and school-wide.

Chapter 6: Helping struggling learners: Evaluating the implementation of differentiated instruction.
The study involved 69 low ability learners, 81 medium ability learners, and 73 high ability learners. The findings of this last study showed that the DI intervention seems beneficial for all students. When looking at the significant differential positive impact of grouping, all learners of different ability levels appeared to have gained academically. This reiterates the findings of Hanushek, Kain, Markman, and Rivkin (2003), who also found that group interactions and peer influences are beneficial for the full range of learner abilities. It appears that supporting learners in their Zone of Proximate Development works for all ability levels. Nevertheless, our results also showed that high ability learners keep outperforming the other ability groups. But, especially when taking initial math performance into account, the impact of the DI intervention is not always linear. It was remarkable to see that middle ability level learners reflected higher scores as compared to low and high ability learners in the grouping + MCI condition. Though this DI intervention did not result in significantly higher math performance, compared to learners in the control condition, it was nevertheless worth noting how middle ability level learners reacted differently to the MCI approach. This urges us at least to be careful in our expectations as to the {\textquotedblleft}linear{\textquotedblright} impact of interventions.  Montague, Krawec, Enders, and Dietz (2014) referred to this when studying the impact of cognitive strategy instruction in middle school.

Implications of the findings in this dissertation
Theoretical implications
The results empirically link teacher DI self-efficacy and teaching beliefs to levels of DI implementation. This also strengthens theoretical models of teacher professionalism and the Onion model of Korthagen that interlinks behavior, competences and underlying factors. The findings in our DI intervention study imply that we can underpin theoretical assumptions about ability grouping and how DI reinforces the mechanisms as defined in Vygotsky{\textquoteright}s theory about the Zone of Proximate Development (Vygotsky, 1980). Grouping and ability grouping seem to empirically ground these assumptions. 

Practical implications
As to practical implications, the findings of the first studies (chapter 2) push the school to consider psychological factors in teachers, i.e. Self-efficacy and teaching beliefs, when developing programs for teacher education and teacher professional development (PD). Teachers should be confronted with their own teaching beliefs, their own behavior, and their own competences. This requires more in-depth, longer duration and active PD approaches.

Policy implications
From a policy perspective, an innovation plan should be set up that interlinks teacher professional development, teacher initial training, school support, school policy development and school monitoring. At the same time, school principals could be made accountable to map and track the teaching approaches of their teachers to cater for student diversity. School based monitoring, considering the particular school diversity, should be established and schools/principals should be empowered with tools and expertise to monitor learner and teacher progress. A collaboration with universities and teacher education institutes could be beneficial in this context to pool expertise. The fact that DI implementation in Indonesia is still below par, leads to a strong recommendation to the Indonesian educational authorities to look in-depth at teacher professional development (PD) programs in Indonesia both for pre-service teachers and for in-service teachers. 

Towards a comprehensive approach to implement DI in Indonesia, some grounding ideas
The findings of the studies in the present PhD, our discussion of the results, an analysis of limitations and a first projection of implications are helpful to draft the outline of a more comprehensive approach to implement differentiated instruction in Indonesia. Firstly, we propose strengthening initial teacher education. The teacher education has a significant role in improving quality of teaching, and therefore the initial teacher education in teacher education institution needs to be improved. Secondly, we propose an enhancement of the quantity and quality of professional development (PD). The result of the fourth chapter in this PhD thesis revealed that 27\% of the participating teachers never attended PD. This is strange and crucial, as teacher is the key player in an education setting that should receive opportunities for continuous upgrading their professional competences. The research has shown that PD has significantly improves teacher professionalism (Rienties et al., 2013), and school quality (Hoque, Alam, \& Abdullah, 2011), as well as educational reforms (Barmby, Bolden, Raine, \& Thompson, 2013). Therefore, educational authorities, including school principals, should empower and encourage all teachers to actively participate in PD programs. Thirdly, we want to redefine the role of the principal / school leader. School leaders significantly influence teacher motivation, commitment, and overall beliefs about their working conditions, which in turn can result in improvements in classroom level teaching and learning (Leithwood, Harris, \& Hopkins, 2008). For that reason, principals and school leaders need to develop an empathic understanding of teachers and actively work to develop these capacities. Fourthly, we propose pushing collegial consultation. The success of a shared school vision depends on its responsiveness to internal and external environments, including the local community and broader context (Penlington, Kington, \& Day, 2008). Also, collaboration between schools in the same district is highly recommended. The collaboration could involve teacher education institutes/universities. Authors suggest that well-developed professional learning communities have a positive impact on both teaching practice and student achievement (Vescio, Ross, \& Adams, 2008). Lastly, empower a teacher certification program. The enactment of teacher certification programs by Indonesian Government aimed at improving teaching quality, and therefore improving academic outcomes (Jalal, 2009). Empowering teacher certification programs could also imply involving other stakeholders (students and parents) to enrich the supporting assessment of teacher teaching quality. The government should also set periodical assessment to guarantee the certified teachers to apply good quality teaching that results in good academic outcome. This can be a motivation for teachers to improve their skills and capabilities.
},
  author       = {Suprayogi, Muhamad Nanang},
  keyword      = {differentiated,beliefs,teacher,Indonesia},
  language     = {eng},
  publisher    = {Faculteit Psychologie en Pedagogische wetenschappen},
  school       = {Ghent University},
  title        = {Differentiated instruction implementation in primary schools : linking psychological factors in students and teachers to achievement},
  year         = {2017},
}