Limit search to available items
Book Cover
Author Sierpinska, Anna.

Title Understanding in mathematics / Anna Sierpinska
Published London ; Washington, D.C. : Falmer, 1994


Location Call no. Vol. Availability
Description xv, 189 pages : illustrations ; 25 cm
Series Studies in mathematics education series ; 2
Studies in mathematics education series ; 2
Contents Ch. 1. Understanding and Meaning. Understanding. Meaning -- Ch. 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. Social Conditions of an Act of Understanding. What Understanding Is Not -- Ch. 3. Processes of Understanding. The Process of Understanding. Reasonings. Explanation and Understanding. The Role of Example and the Medium in Which It Is Presented for Understanding. Figures of Speech in Understanding. The Role of Activity in Understanding. The Question of Continuity of the Process of Understanding -- Ch. 4. Good Understanding. The Relativity of 'Good Understanding'. Various Approaches to Research on Understanding in Mathematics Education. Models of Understanding. The Historico-empirical Approach to Understanding in Mathematics. 'Good Understanding' in the Historico-empirical Approach: Significant Acts of Understanding
The Philosophy of Epistemological Obstacles. Epistemological Obstacles in Mathematics: The Case of the Bolzano Theorem. The Notion of Epistemological Obstacle as a Category of Thought in Mathematics Education: Problems of Definition -- Ch. 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
Summary 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
Analysis Schools Curriculum Mathematics
Notes Includes index
Bibliography Includes bibliographical references (pages 170-182) and index
Notes Print version record
Subject Comprehension.
Mathematics -- Study and teaching -- Psychological aspects.
Mathematics -- Study and teaching -- Psychology.
LC no. 94027248
ISBN 0750703342 (acid-free)