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Developments in Mathematical Education
Proceedings of the Second International Congress on Mathematical Education
Edited by A. G. Howson
Publisher: Cambridge University Press
Print Publication Year: 1973
Online Publication Date:September 2011
Online ISBN:9781139013536
Hardback ISBN:9780521201902
Paperback ISBN:9780521098038
Chapter DOI: http://dx.doi.org/10.1017/CBO9781139013536.015
Subjects: Education - Maths, Educ - Mathematics
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Introduction
The role of geometry in the study of mathematics has been a special interest of mine for several years. During the past year I have enjoyed a sabbatical from my university teaching and made a special effort to discover what is happening to the role of geometry. I have found two papers particularly enlightening and would like to quote from them as background for our considerations of geometry as a gateway to mathematics. I believe that geometry serves this role at all levels – in elementary schools, in secondary schools, and in colleges and universities.
Professor E. Spanier wrote in 1970, in an article entitled ‘The Undergraduate Program in Mathematics’, that:
Broadly speaking, the goal of undergraduate mathematics education should be to help the student to understand something about mathematics both in its internal structure and in its relations with other disciplines. He should get a feeling of the vitality of the subject and enough history to appreciate current trends and progress. He should have studied some areas of mathematics, possibly only small parts, in depth, but he should also obtain some sort of global view of mathematics by the time he graduates. These objectives are important for all mathematics majors.
pp. i-vi
pp. vii-viii
Editor's Acknowledgements : Read PDF
pp. ix-x
PART I - A CONGRESS SURVEY : Read PDF
pp. 1-3
pp. 4-74
PART II - THE INVITED PAPERS : Read PDF
pp. 75-76
pp. 77-78
Comments on mathematical education : Read PDF
pp. 79-87
The Presidential Address : Read PDF
pp. 88-100
What groups mean in mathematics and what they should mean in mathematical education : Read PDF
pp. 101-114
Nature, man and mathematics : Read PDF
pp. 115-135
Some anthropological observations on number, time and common-sense : Read PDF
pp. 136-153
Mathematical education in developing countries – some problems of teaching and learning : Read PDF
pp. 154-180
Some questions of mathematical education in the USSR : Read PDF
pp. 181-193
Modern mathematics: does it exist? : Read PDF
pp. 194-210
PART III - A SELECTION OF CONGRESS PAPERS : Read PDF
pp. 211-212
Investigation and problem-solving in mathematical education : Read PDF
pp. 213-221
Intuition, structure and heuristic methods in the teaching of mathematics : Read PDF
pp. 222-232
Mathematics and science in the secondary school : Read PDF
pp. 233-240
Geometry as a gateway to mathematics : Read PDF
pp. 241-253
The International Baccalaureate : Read PDF
pp. 254-261
The role of axioms in contemporary mathematics and in mathematical education : Read PDF
pp. 262-271
Implications of the work of Piaget in the training of students to teach primary mathematics : Read PDF
pp. 272-282
Are we off the track in teaching mathematical concepts? : Read PDF
pp. 283-296
pp. 297-298
1 - The congress committees and officers : Read PDF
pp. 299-299
2 - The working groups : Read PDF
pp. 300-304
3 - ICMI and congress recommendations : Read PDF
pp. 305-306
4 - Films and videotapes on mathematics and its teaching : Read PDF
pp. 307-314
pp. 315-318