文件名称:
Understanding in Mathematics
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上传时间: 2009-05-26
详细说明： Chapter 1: Understanding and Meaning 1 Understanding 1 Meaning 13 Chapter 2: Components and Conditions of an Act of Understanding 27 What Could Be an Act of Understanding? 28 Components of an Act of Understanding 39 Psychological Conditions of an Act of Understa nding 62 Social Conditions of an Act of Understanding 65 What Understanding Is Not 68 Chapter 3: Processes of Understanding 72 The Process of Understanding 72 Reasonings 73 Explanation and Understanding 75 The Role of Example and the Medium in Which It Is Presented for Understanding 88 Figures of Speech in Understanding 92 The Role of Activity in Understanding 101 The Question of Continuity of the Process of Understanding 107 Chapter 4: Good Understanding 112 The Relativity of ‘Good Understanding’ 112 Various Approaches to Research on Understanding in Mathematics Education 117 Models of Understanding 119 The Historico-empirical Approach to Understanding in Mathematics 120 ‘Good Understanding’ in the Historico-empirical Approach: Significant Acts of Understanding 123 The Philosophy of Epistemological Obstacles 125 v Contents Epistemological Obstacles in Mathematics: The Case of the Bolzano Theorem 128 The Notion of Epistemological Obstacle as a Category of Thought in Mathematics Education; Problems of Definition 133 Chapter 5: Developmental and Cultural Contraints of Understanding 138 The Relationship Between Development and Culture 139 The Genesis of Understanding and the Developmental Roots of Epistemological Obstacles 142 The Cultural Roots of Epistemological Obstacles 159 References 170 Index 183 ...展开收缩
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