The Influence of Computers and Informatics on Mathematics and its Teaching: Proceedings From a Symposium Held in Strasbourg, France in March 1985 and Sponsored by the International Commission on Mathematical Instruction

doi:10.1017/CBO9781139013482

First published in 1986, the first ICMI study is concerned with the influence of computers and computer science on mathematics and its teaching in the last years of school and at tertiary level. In particular, it explores the way the computer has influenced mathematics itself and the way in which mathematicians work, likely influences on the curriculum of high-school and undergraduate students, and the way in which the computer can be used to improve mathematics teaching and learning. The book comprises a report of the meeting held in Strasbourg in March 1985, plus several papers contributed to that meeting.

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Contents

Frontmatter
pp i-ii
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Contents
pp iii-iii
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Foreword
pp iv-iv
- By A.G. Howson, J.-P. Kahane
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Report of the Strasbourg Meeting
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PART I - THE EFFECT ON MATHEMATICS
pp 1-12
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PART II - THE IMPACT OF COMPUTERS AND COMPUTER SCIENCE ON THE MATHEMATICS CURRICULUM
pp 13-23
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PART III - COMPUTERS AS AN AID FOR TEACHING AND LEARNING MATHEMATICS
pp 24-38
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List of Participants
pp 39-39
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Supporting Papers
pp 40-42
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Selected Papers
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Mathematics and the Computer Revolution
pp 43-51
- By M.F. Atiyah, Mathematical Institute, Oxford University
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Living with a New Mathematical Species
pp 52-60
- By Lynn Arthur Steen, St. Olaf College, Northfield
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Checking Mathematics with the Aid of a Computer
pp 61-68
- By N.G. de Bruijn, Technological University Eindhoven, The Netherlands
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On the Mathematical Basis of Computer Science
pp 69-75
- By Jacques STERN, Université de CAEN, CAEN, FRANCE
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The Mathematics of Computer Algebra
pp 76-84
- By J.H. Davenport, University of Bath, Bath
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Mathematical Education in the Computer Age
pp 85-94
- By Haruo Murakami, Faculty of Engineering and The Graduate School of Science and Technology, Kobe University, Masato Hata, The Graduate School of Science and Technology, Kobe University
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A Fundamental Course in Higher Mathematics Incorporating Discrete and Continuous Themes
pp 95-106
- By S. B. Seidman, George Mason University, Fairfax, M. D. Rice, George Mason University, Fairfax
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Graphic Insight into Calculus and Differential Equations
pp 107-119
- By David Tall, Mathematics Education Research Centre, Warwick University, Beverly West, Mathematics Department, Cornell University, Ithaca
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Calculus and the Computer. The Interplay of Discrete Numerical Methods and Calculus in the Education of Users of Mathematics: Considerations and Experiences
pp 120-132
- By Maria Mascarello, Politecnico di Torino, Bernard Winkelmann, Institut für Didaktik der Mathematik
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Computer-based Symbolic Mathematics for Discovery
pp 133-146
- By K.D. Lane, Harvey Mudd College, Claremont, A. Ollongren, Leiden University, The Netherlands, D.R. Stoutemyer, University of Hawaii, Honolulu
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Computer-aware Curricula: Ideas and Realization
pp 147-155
- By Hugh Burkhardt, University of Nottingham, England
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The Influence of Computers and Informatics on Mathematics and its Teaching

Proceedings From a Symposium Held in Strasbourg, France in March 1985 and Sponsored by the International Commission on Mathematical Instruction

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Contents

Frontmatter
pp i-ii

Contents
pp iii-iii

Foreword
pp iv-iv

Report of the Strasbourg Meeting

PART I - THE EFFECT ON MATHEMATICS
pp 1-12

PART II - THE IMPACT OF COMPUTERS AND COMPUTER SCIENCE ON THE MATHEMATICS CURRICULUM
pp 13-23

PART III - COMPUTERS AS AN AID FOR TEACHING AND LEARNING MATHEMATICS
pp 24-38

List of Participants
pp 39-39

Supporting Papers
pp 40-42

Selected Papers

Mathematics and the Computer Revolution
pp 43-51

Living with a New Mathematical Species
pp 52-60

Checking Mathematics with the Aid of a Computer
pp 61-68

On the Mathematical Basis of Computer Science
pp 69-75

The Mathematics of Computer Algebra
pp 76-84

Mathematical Education in the Computer Age
pp 85-94

A Fundamental Course in Higher Mathematics Incorporating Discrete and Continuous Themes
pp 95-106

Graphic Insight into Calculus and Differential Equations
pp 107-119

Calculus and the Computer. The Interplay of Discrete Numerical Methods and Calculus in the Education of Users of Mathematics: Considerations and Experiences
pp 120-132

Computer-based Symbolic Mathematics for Discovery
pp 133-146

Computer-aware Curricula: Ideas and Realization
pp 147-155

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The Influence of Computers and Informatics on Mathematics and its Teaching

Proceedings From a Symposium Held in Strasbourg, France in March 1985 and Sponsored by the International Commission on Mathematical Instruction

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