Developments 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.