This book surveys the work of the Second International Congress on Mathematical Education, and presents it as a picture of developing trends in mathematical education.
This book surveys the work of the Second International Congress on Mathematical Education, and presents it as a picture of developing trends in mathematical education.
A message from H. R. H. The Prince Philip, Duke of Edinburgh Editor's acknowledgements Part I. A Congress Survey: 1. Preliminaries and planning 2. The programme 3. The congress in action 4. The work of congress 5. The congress in retrospect Part II. The Invited Papers: 1. As I read them George Pólya 2. Comments on mathematical education Jean Piaget 3. The Presidential Address James Lighthill 4. What groups mean in mathematics and what they should mean in mathematical education Hans Freudenthal 5. Nature, man, and mathematics David Hawkins 6. Some anthropological observations on number, time and common-sense Edmund Leach 7. Mathematical education in developing countries - some problems of teaching and learning Hugh Philp 8. Some questions of mathematical education in the USSR S. L. Soblev 9. Modern mathematics: does it exist? René Thom Part III. A Selection of Congress Papers: 1. Investigation and problem-solving in mathematical education Edith Biggs 2. Intuition, structure and heuristic methods in the teaching of mathematics E. Fischbein 3. Mathematics and science in the secondary school Anthony J. Malpas 4. Geometry as a gateway to mathematics Bruce E. Meserve 5. The International Baccalaureate J. B. Morgan 6. The role of axioms in contemporary mathematics and in mathematical education Toshio Shibata 7. Implications of the work of Piaget in the training of students to teach primary mathematics Mary Sime 8. Are we off the track in teaching mathematical concepts Hassler Whitney Appendices Index.
A message from H. R. H. The Prince Philip, Duke of Edinburgh Editor's acknowledgements Part I. A Congress Survey: 1. Preliminaries and planning 2. The programme 3. The congress in action 4. The work of congress 5. The congress in retrospect Part II. The Invited Papers: 1. As I read them George Pólya 2. Comments on mathematical education Jean Piaget 3. The Presidential Address James Lighthill 4. What groups mean in mathematics and what they should mean in mathematical education Hans Freudenthal 5. Nature, man, and mathematics David Hawkins 6. Some anthropological observations on number, time and common-sense Edmund Leach 7. Mathematical education in developing countries - some problems of teaching and learning Hugh Philp 8. Some questions of mathematical education in the USSR S. L. Soblev 9. Modern mathematics: does it exist? René Thom Part III. A Selection of Congress Papers: 1. Investigation and problem-solving in mathematical education Edith Biggs 2. Intuition, structure and heuristic methods in the teaching of mathematics E. Fischbein 3. Mathematics and science in the secondary school Anthony J. Malpas 4. Geometry as a gateway to mathematics Bruce E. Meserve 5. The International Baccalaureate J. B. Morgan 6. The role of axioms in contemporary mathematics and in mathematical education Toshio Shibata 7. Implications of the work of Piaget in the training of students to teach primary mathematics Mary Sime 8. Are we off the track in teaching mathematical concepts Hassler Whitney Appendices Index.
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