Understanding in Mathematics

Chapter 1 Understanding and Meaning: Understanding Meaning. Chapter 2 Components and Conditions of an Act of Understanding: What could be an act of understanding? Components of an act of understanding Psychological conditions of an act of understanding What understanding is not. Chapter 3 Processes of Understanding: The process of understanding Reasonings Explanation and understanding Figures of speech in understanding The role of activity in understanding. Chapter 4 Good Understanding The relativity of "Good Understanding" Models of understanding "Good Understanding" in the historico-empirical approach - significant acts of understanding The philosophy of epistemological obstacles The notion of epistemological obstacle as a category of thought in mathematics education - problems of definition. Chapter 5 Developmental and Cultural Constraints of Understanding: The relationship between development and culture The genesis of understanding and the developmental roots of epistemological obstacles The cultural roots of epistemological obstacles.

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