The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught.
The concept of understanding in mathematics with regard to mathematics education is considered in this volume. The main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. In combining elements of maths, philosophy, logic, linguistics and the psychology of maths education from her own and European research, Dr Sierpinska considers the contributions of the social and cultural contexts to understanding. The outcome is an insight into both mathematics and understanding.
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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.
Understanding in Mathematics by Anna Sierpinska
Used - Very Good
Taylor & Francis Ltd
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