The Category of Data Based on Ontogenic Obstacles 36 The Category of Data Based on Epistemological Obstacles 46 Category of Data Based on Didactical Obstacles 63

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

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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

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4.2 The Category of Data Based on Ontogenic Obstacles 36

4.2.1 The Influence of Algebraic Thinking on Ontogenic 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 4.4.1.2 The Second Obstacle in Problem Three 67 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