The Students’ Outcome Space of The Problems The Extraction of Research Findings and Mathematics Textbooks 76 Theoretical Arguments of The Instructional Material Design 84

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 4.7.1.8 The Didactical Arguments For Situation Four 87 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 4.7.4.7 The Conceptual Arguments For Situation Seventeen 97 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