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Book contents
- Frontmatter
- Contents
- Foreword
- Report of the Strasbourg Meeting
- Selected Papers
- Mathematics and the Computer Revolution
- Living with a New Mathematical Species
- Checking Mathematics with the Aid of a Computer
- On the Mathematical Basis of Computer Science
- The Mathematics of Computer Algebra
- Mathematical Education in the Computer Age
- A Fundamental Course in Higher Mathematics Incorporating Discrete and Continuous Themes
- Graphic Insight into Calculus and Differential Equations
- Calculus and the Computer. The Interplay of Discrete Numerical Methods and Calculus in the Education of Users of Mathematics: Considerations and Experiences
- Computer-based Symbolic Mathematics for Discovery
Mathematical Education in the Computer Age
Published online by Cambridge University Press: 26 April 2011
- Frontmatter
- Contents
- Foreword
- Report of the Strasbourg Meeting
- Selected Papers
- Mathematics and the Computer Revolution
- Living with a New Mathematical Species
- Checking Mathematics with the Aid of a Computer
- On the Mathematical Basis of Computer Science
- The Mathematics of Computer Algebra
- Mathematical Education in the Computer Age
- A Fundamental Course in Higher Mathematics Incorporating Discrete and Continuous Themes
- Graphic Insight into Calculus and Differential Equations
- Calculus and the Computer. The Interplay of Discrete Numerical Methods and Calculus in the Education of Users of Mathematics: Considerations and Experiences
- Computer-based Symbolic Mathematics for Discovery
Summary
INTRODUCTION
The progress of computers has been remarkable. Today, along with the conventional fast numerical computation, the extensive use of computers for non-numeric operations has begun in a variety of fields. Such non-numeric operations in mathematics include computer algebra allowing symbolic differentiation, symbolic integration, factorization and expansion, etc.
The astonishing speed of technological innovation will soon make possible a cheap computer algebra system as small as present-day electronic calculators or hand held computers, but with mathematical capabilities as powerful as those of average first-year college students at least as far as the above symbolic mathematical operations are concerned. Most of the powerful systems such as MACSYMA or REDUCE operate in minicomputers or larger ones now. But technological innovation is realizing much smaller computers capable of doing the same functions. In fact, REDUCE has recently been implemented on a personal computer using MC68000.
The emergence of such powerful but small computer algebra systems will inevitably influence mathematical education. Therefore, it is now very important to consider the following questions:
What influence will computers with the above capabilities have on mathematical education?
How will mathematical education be changed by computers? Or, how will it have to be changed?
THE INFLUENCE OF COMPUTERS ON MATHEMATICAL EDUCATION
The changes which computers will bring in mathematical education can be divided into:
i) changes in the methodology of mathematical education,
ii) changes in the topics taught in mathematical education.
- Type
- Chapter
- Information
- The Influence of Computers and Informatics on Mathematics and its TeachingProceedings From a Symposium Held in Strasbourg, France in March 1985 and Sponsored by the International Commission on Mathematical Instruction, pp. 85 - 94Publisher: Cambridge University PressPrint publication year: 1986