T MTK 1202122 Table of Content
Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
TABLE OF CONTENT
Page
DECLARATION i
PREFACE ii
ACKNOWLEDGEMENTS iii
ABSTRACT v
TABLE OF CONTENT vi
LIST OF PICTURES xii
LIST OF TABLES xiv
LIST OF ATTACHMENTS xv
CHAPTER I INTRODUCTION
1.1 The Background 1
1.2 The Problem Identification and The Problem Formulation 7
1.3 The Research Objectives 8
1.4 The Research Benefits 8
CHAPTER II STUDY OF LITERATURE
2.1 Learning Obstacles 9
2.1.1 Ontogenic Obstacles 10
2.1.2 Didactical Obstacles 11
2.1.3 Epistemological Obstacles 11
2.2 Didactical Design Research 11
2.2.1 Didactical 11
2.2.2 Design Research 15
2.2.3 Didactical Design Research 16
2.3 Relevant Learning Theories 17
2.3.1 Piaget Learning Theory 17
2.3.2 Gagne Learning Theory 19
2.3.3 Ausubel Learning Theory 20
2.3.4 The Pythagorean Theorem 20
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
CHAPTER III RESEARCH METHOD
3.1 Research Method 25
3.2 Purposive Sampling 25
3.3. Research Procedures 25
3.3.1 The Preparation Phase 25
3.3.2 The Implementation Phase 26
3.3.3 The Planning Phase 26
3.4 Research Instrument 28
3.4.1 The Data Collection Techniques 28
3.4.1.1 Test 28
3.4.1.1.1 The Characteristic of Problem One 28
3.4.1.1.2 The Characteristic of Problem Two 28
3.4.1.1.3 The Characteristic of Problem Three 29
3.4.1.1.4 The Characteristic of Problem Four 29
3.4.1.1.5 The Characteristic of Problem Five 29
3.4.1.1.6 The Characteristic of Problem Six 30
3.5 Data Analysis Procedure 31
3.5.1 Data Analysis Technique 31
3.5.1.1 Data Reduction 31
3.5.1.2 Presentation of Data 31
3.5.1.3 Conclusion Withdrawal 32
3.5.2 Data Analysis Plan 32
3.5.3 Validation Method 32
3.5.3.1 Credibility Test 32
3.5.3.2 Transferability Test 32
3.5.3.3 Dependability Test 33
3.5.3.4 Confirmability Test 33
CHAPTER IV RESEARCH RESULT AND DISCUSSION
4.1 The General Descriptions of The Data 35
4.2 The Category of Data Based on Ontogenic Obstacles 36 4.2.1 The Influence of Algebraic Thinking on Ontogenic
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Obstacles 37
4.2.1.1 The First Obstacle in Problem Three 38
4.2.1.2 The Second Obstacle in Problem Three 40
4.2.1.3 The Third Obstacle in Problem Three 41
4.2.1.4 The Third Obstacle in Problem Three 42
4.2.2 The Influence of Geometry Ability on Ontogenic
Obstacles 43
4.2.2.1 The First Obstacle in Problem Five 45
4.2.2.2 The Second Obstacle in Problem Five 45
4.3 The Category of Data Based on Epistemological Obstacles 46 4.3.1 The Influence of Misconception on Epistemological
Obstacles 46
4.3.1.1 The First Obstacle in Problem One 47
4.3.1.2 The Second Obstacle in Problem One 49
4.3.1.3 The Third Obstacle in Problem One 50
4.3.1.4 The Third Obstacle in Problem One 50
4.3.1.5 The Third Obstacle in Problem One 51
4.3.2. The Influence of Implicit Information on
Epistemological Obstacles 53
4.3.2.1 The First Obstacle in Problem Three 54
4.3.2.2 The Second Obstacle in Problem Three 54
4.3.2.3 The Third Obstacle in Problem Three 55
4.3.3 The Influence of Visual Representation on
Epistemological Obstacles 56
4.3.3.1 The First Obstacle in Problem Three 57
4.3.3.2 The Second Obstacle in Problem Three 59
4.3.3.3 The Third Obstacle in Problem Three 59
4.4 Category of Data Based on Didactical Obstacles 63
4.4.1 The Influence of Verbalistis on Didactical Obstacles 63
4.4.1.1 The First Obstacle in Problem Two 66
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
4.4.1.3 The Third Obstacle in Problem Three 68
4.4.1.4 The Fourth Obstacle in Problem Three 69
4.4.1.5 The Fifth Obstacle in Problem Three 69
4.5 The Students’ Outcome Space of The Problems 71
4.5.1 The Outcome Space of Ontogenic Obstacles 71
4.5.2 The Outcome Space of Epistemological Obstacles 73
4.5.3 The Outcome Space of Didactical Obstacles 75
4.6 The Extraction of Research Findings and Mathematics Textbooks 76 4.6.1 The Analysis of Instructional Material Design of
Pythagorean Theorem in BPM1 77
4.6.2 The Analysis of Instructional Material Design of
Pythagorean Theorem in BPM2 78
4.6.3 The Analysis of Instructional Material Design of
Pythagorean Theorem in BPM3 80
4.6.4 The Analysis of Instructional Material Design of
Pythagorean Theorem in BPM4 81
4.6.5 The Analysis of Instructional Material Design of
Pythagorean Theorem in BPM5 82
4.6.6 The Extraction of Research Findings and The Analysis
of Mathematics Textbooks 83
4.7 Theoretical Arguments of The Instructional Material Design 84 4.7.1 Theoretical Arguments of The Instructional Material Design
For The First Meeting 84
4.7.1.1 The Conceptual Arguments For Situation One 84
4.7.1.2 The Didactical Arguments For Situation One 85
4.7.1.3 The Conceptual Arguments For Situation Two 85
4.7.1.4 The Didactical Arguments For Situation Two 86
4.7.1.5 The Conceptual Arguments For Situation Three 86
4.7.1.6 The Didactical Arguments For Situation Three 86
4.7.1.7 The Conceptual Arguments For Situation Four 86
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
4.7.2 Theoretical Arguments of The Instructional Material Design
For The Second Meeting 88
4.7.2.1 The Conceptual Arguments For Situation Five 88
4.7.2.2 The Didactical Arguments For Situation Five 88
4.7.2.3 The Conceptual Arguments For Situation six 89
4.7.2.4 The Didactical Arguments For Situation Six 89
4.7.2.5 The Conceptual Arguments For Situation
Seven and Eight 89
4.7.2.6 The Didactical Arguments For Situation
Seven and Eight 90
4.7.2.7 The Conceptual Arguments For Situation Nine 90
4.7.2.8 The Didactical Arguments For Situation Nine 91
4.7.3 Theoretical Arguments of The Instructional Material Design
For The Third Meeting 91
4.7.3.1 The Conceptual Arguments For Situation Ten 92
4.7.3.2 The Didactical Arguments For Situation Ten 92
4.7.3.3 The Conceptual Arguments For Situation eleven 92
4.7.3.4 The Didactical Arguments For Situation Eleven 92
4.7.3.5 The Conceptual Arguments For Situation Twelve 93
4.7.3.6 The Didactical Arguments For Situation Twelve 93
4.7.3.7 The Conceptual Arguments For Situation Thirteen 94
4.7.3.8 The Didactical Arguments For Situation Thirteen 94
4.7.4 Theoretical Arguments of The Instructional Material Design
For The Fourth Meeting 94
4.7.4.1 The Conceptual Arguments For Situation Fourteen 94
4.7.4.2 The Didactical Arguments For Situation fourteen 95
4.7.4.3 The Conceptual Arguments For Situation Fifteen 95
4.7.4.4 The Didactical Arguments For Situation Fifteen 95
4.7.4.5 The Conceptual Arguments For Situation Sixteen 96
4.7.4.6 The Didactical Arguments For Situation Sixteen 96
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
4.7.4.8 The Didactical Arguments For Situation Seventeen 97
4.7.4.9 The Conceptual Arguments For Situation Eighteen 98
4.7.4.10 The Didactical Arguments For Situation Eighteen 98
4.7.5 Theoretical Arguments of The Instructional Material Design
For The Fifth Meeting 98
4.7.5.1 The Conceptual Arguments For Situation Nineteen 98
4.7.5.2 The Didactical Arguments For Situation Nineteen 98
4.7.5.3 The Conceptual Arguments For Situation Twenty 99
4.7.5.4 The Didactical Arguments For Situation Twenty 99
4.7.5.5 The Conceptual Arguments For Situation Twenty One 99
4.7.5.6 The Didactical Arguments For Situation Twenty One 100
4.7.5.7 The Conceptual Arguments For Situation Twenty Two 100
4.7.5.8 The Didactical Arguments For Situation Twenty Two 100
CHAPTER V CONCLUSION AND RECOMMENDATIONS
5.1 Conclusion 101
5.2 Recommendation 103
5.2.1 Recommendations For Instructional Design 103
5.2.2 Recommendation For Advanced Research 103
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF PICTURES
Page
Picture 1.1 Metapedadidaktik Prism 4
Picture 2.1 Metapedadidaktik Prism 12
Picture 2.2 The Elaboration of Metapedadidaktik Prism 12
Picture 2.3 The Pythagorean Theorem 21
Picture 2.4 GED Sample Question 22
Picture 2.5 Students Common Errors 23
Picture 3.1 The Chart of Research Plan 27
Picture 4.1 The Chart of The Research Data Linkage 34
Picture 4.2 Problem Three 37
Picture 4.3 The Answer of S87 40
Picture 4.4 The Answer of S68 40
Picture 4.5 The Answer of S70 41
Picture 4.6 The Answer of S99 41
Picture 4.7 The Answer of S11 42
Picture 4.8 The Answer of S34 42
Picture 4.9 The Answer of S23 43
Picture 4.10 Problem Five 44
Picture 4.11 The Answer of S26 45
Picture 4.12 Problem One 47
Picture 4.13 The Answer of S22 51
Picture 4.14 The Answer of S67 52
Picture 4.15 Problem Four 53
Picture 4.16 The Answer of S99 55
Picture 4.17 The Answer of S62 55
Picture 4.18 The Answer of S79 55
Picture 4.19 The Answer of S93 56
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Picture 4.21 Problem Six 57
Picture 4.22 The Comparison of Angle-based
Right Triangle 58
Picture 4.23 The Answer of S92 58
Picture 4.24 The Answer of S62 59
Picture 4.25 The Answer of S66 59
Picture 4.26 The Answer of S79 59
Picture 4.27 The Answer of S77 60
Picture 4.28 The Answer of S86 61
Picture 4.29 The Answer of S74 61
Picture 4.30 The Answer of S52 62
Picture 4.31 The Answer of S51 62
Picture 4.32 The Answer of S61 63
Picture 4.33 Problem Two 64
Picture 4.34 The Right Triangle That Showed in
The Interview Session 65
Picture 4.35 The Answer of S47 68
Picture 4.36 The Answer of S88 71
Picture 4.36b The Venn Diagram of Research Results 75
Picture 4.37 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM1 78
Picture 4.38 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM2 79
Picture 4.39 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM3 80
Picture 4.40 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM4 81
Picture 4.41 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM5 82
Picture 4.42 Right Triangle in Exercise (1) 91
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF TABLES
Page
Table 4.1 The Outcome Space of Ontogenic Obstacles 71
Table 4.2 The Outcome Space of Epistemological Obstacles 73
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF ATTACHMENTS
Page
Attachment 1 Preliminary Observation Results 1 107
Attachment 2 Preliminary Observation Results 2 109
Attachment 3 Soal 113
Attachment 4 Lembar Jawaban 115
Attachment 5 Penyelesaian 116
Attachment 6 Jawaban S11 120
Attachment 7 Jawaban S37 121
Attachment 8 Jawaban S10 122
Attachment 9 Jawaban S27 123
Attachment 10 Jawaban S22 124
Attachment 11 Jawaban S53 125
Attachment 12 Jawaban S67 126
Attachment 13 Jawaban S62 127
Attachment 14 Jawaban S51 128
Attachment 15 Jawaban S74 129
Attachment 16 Jawaban S81 130
Attachment 17 Jawaban S47 131
Attachment 18 Jawaban S69 132
Attachment 19 Jawaban S87 133
Attachment 20 Jawaban S88 134
Attachment 21 Jawaban S91 135
Attachment 22 Jawaban S65 136
Attachment 23 Jawaban S63 137
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Attachment 25 Jawaban S87 139
Attachment 26 Jawaban S68 140
Attachment 27 Jawaban S70 141
Attachment 28 Jawaban S99 142
Attachment 29 Jawaban S11 143
Attachment 30 Jawaban S34 144
Attachment 31 Jawaban S23 145
Attachment 32 Jawaban S99 146
Attachment 33 Jawaban S62 147
Attachment 34 Jawaban S79 148
Attachment 35 Jawaban S93 149
Attachment 36 Jawaban S94 150
Attachment 37 Jawaban S99 151
Attachment 38 Jawaban S26 152
Attachment 39 Jawaban S92 153
Attachment 40 Jawaban S62 154
Attachment 41 Transkrip Wawancara Soal Nomor 1 155
Attachment 42 Transkrip Wawancara Soal Nomor 2 166
Attachment 43 Transkrip Wawancara Soal Nomor 3 170
Attachment 44 Transkrip Wawancara Soal Nomor 4 174
Attachment 45 Transkrip Wawancara Soal Nomor 5 177
Attachment 46 Transkrip Wawancara Soal Nomor 6 178
Attachment 47 Design Bahan Ajar (Pertemuan I) 179
Attachment 48 Design Bahan Ajar (Pertemuan II) 187
Attachment 49 Design Bahan Ajar (Pertemuan III) 200
Attachment 50 Design Bahan Ajar (Pertemuan IV) 211
Attachment 51 Design Bahan Ajar (Pertemuan V) 244
Attachment 52 Dokumentasi Foto 256
Attachment 24 The Scanlation of Students’ Answers 267
Attachment 25 Validasi Soal Oleh Ahli I 278
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Attachment 27 Validasi Soal Oleh Ahli III 300
Attachment 28 Validasi Soal Oleh Ahli IV 311
Attachment 29 Validasi Soal Oleh Ahli V 322
Attachment 30 Surat Izin Penelitian 333
Attachment 31 Surat Bukti Penelitian Dari Sekolah I 334
Attachment 32 Surat Bukti Penelitian Dari Sekolah II 335
(1)
Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF PICTURES
Page
Picture 1.1 Metapedadidaktik Prism 4
Picture 2.1 Metapedadidaktik Prism 12
Picture 2.2 The Elaboration of Metapedadidaktik Prism 12
Picture 2.3 The Pythagorean Theorem 21
Picture 2.4 GED Sample Question 22
Picture 2.5 Students Common Errors 23
Picture 3.1 The Chart of Research Plan 27
Picture 4.1 The Chart of The Research Data Linkage 34
Picture 4.2 Problem Three 37
Picture 4.3 The Answer of S87 40
Picture 4.4 The Answer of S68 40
Picture 4.5 The Answer of S70 41
Picture 4.6 The Answer of S99 41
Picture 4.7 The Answer of S11 42
Picture 4.8 The Answer of S34 42
Picture 4.9 The Answer of S23 43
Picture 4.10 Problem Five 44
Picture 4.11 The Answer of S26 45
Picture 4.12 Problem One 47
Picture 4.13 The Answer of S22 51
Picture 4.14 The Answer of S67 52
Picture 4.15 Problem Four 53
Picture 4.16 The Answer of S99 55
Picture 4.17 The Answer of S62 55
Picture 4.18 The Answer of S79 55
Picture 4.19 The Answer of S93 56
(2)
Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Picture 4.21 Problem Six 57
Picture 4.22 The Comparison of Angle-based
Right Triangle 58
Picture 4.23 The Answer of S92 58
Picture 4.24 The Answer of S62 59
Picture 4.25 The Answer of S66 59
Picture 4.26 The Answer of S79 59
Picture 4.27 The Answer of S77 60
Picture 4.28 The Answer of S86 61
Picture 4.29 The Answer of S74 61
Picture 4.30 The Answer of S52 62
Picture 4.31 The Answer of S51 62
Picture 4.32 The Answer of S61 63
Picture 4.33 Problem Two 64
Picture 4.34 The Right Triangle That Showed in
The Interview Session 65
Picture 4.35 The Answer of S47 68
Picture 4.36 The Answer of S88 71
Picture 4.36b The Venn Diagram of Research Results 75
Picture 4.37 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM1 78
Picture 4.38 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM2 79
Picture 4.39 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM3 80
Picture 4.40 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM4 81
Picture 4.41 The Analysis of Instructional Material
Design of Pythagorean Theorem in BPM5 82
Picture 4.42 Right Triangle in Exercise (1) 91
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF TABLES
Page
Table 4.1 The Outcome Space of Ontogenic Obstacles 71
Table 4.2 The Outcome Space of Epistemological Obstacles 73
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
LIST OF ATTACHMENTS
Page
Attachment 1 Preliminary Observation Results 1 107
Attachment 2 Preliminary Observation Results 2 109
Attachment 3 Soal 113
Attachment 4 Lembar Jawaban 115
Attachment 5 Penyelesaian 116
Attachment 6 Jawaban S11 120
Attachment 7 Jawaban S37 121
Attachment 8 Jawaban S10 122
Attachment 9 Jawaban S27 123
Attachment 10 Jawaban S22 124
Attachment 11 Jawaban S53 125
Attachment 12 Jawaban S67 126
Attachment 13 Jawaban S62 127
Attachment 14 Jawaban S51 128
Attachment 15 Jawaban S74 129
Attachment 16 Jawaban S81 130
Attachment 17 Jawaban S47 131
Attachment 18 Jawaban S69 132
Attachment 19 Jawaban S87 133
Attachment 20 Jawaban S88 134
Attachment 21 Jawaban S91 135
Attachment 22 Jawaban S65 136
Attachment 23 Jawaban S63 137
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Attachment 25 Jawaban S87 139
Attachment 26 Jawaban S68 140
Attachment 27 Jawaban S70 141
Attachment 28 Jawaban S99 142
Attachment 29 Jawaban S11 143
Attachment 30 Jawaban S34 144
Attachment 31 Jawaban S23 145
Attachment 32 Jawaban S99 146
Attachment 33 Jawaban S62 147
Attachment 34 Jawaban S79 148
Attachment 35 Jawaban S93 149
Attachment 36 Jawaban S94 150
Attachment 37 Jawaban S99 151
Attachment 38 Jawaban S26 152
Attachment 39 Jawaban S92 153
Attachment 40 Jawaban S62 154
Attachment 41 Transkrip Wawancara Soal Nomor 1 155
Attachment 42 Transkrip Wawancara Soal Nomor 2 166
Attachment 43 Transkrip Wawancara Soal Nomor 3 170
Attachment 44 Transkrip Wawancara Soal Nomor 4 174
Attachment 45 Transkrip Wawancara Soal Nomor 5 177
Attachment 46 Transkrip Wawancara Soal Nomor 6 178
Attachment 47 Design Bahan Ajar (Pertemuan I) 179
Attachment 48 Design Bahan Ajar (Pertemuan II) 187
Attachment 49 Design Bahan Ajar (Pertemuan III) 200
Attachment 50 Design Bahan Ajar (Pertemuan IV) 211
Attachment 51 Design Bahan Ajar (Pertemuan V) 244
Attachment 52 Dokumentasi Foto 256
Attachment 24 The Scanlation of Students’ Answers 267
Attachment 25 Validasi Soal Oleh Ahli I 278
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Maya L Hutapea, 2014
ANALYSIS OF STUDENTS’ LEARNING OBSTACLES ON THE SUBJECT OF PYTHAGOREAN THEOREM
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
Attachment 27 Validasi Soal Oleh Ahli III 300
Attachment 28 Validasi Soal Oleh Ahli IV 311
Attachment 29 Validasi Soal Oleh Ahli V 322
Attachment 30 Surat Izin Penelitian 333
Attachment 31 Surat Bukti Penelitian Dari Sekolah I 334
Attachment 32 Surat Bukti Penelitian Dari Sekolah II 335