Mathematics as a Service Subject ( ICMI Studies )

Publication series ：ICMI Studies

Author： A. G. Howson; J. P. Kahane; P. Lauginie

Publisher： Cambridge University Press‎

Publication year： 1988

E-ISBN: 9781139245463

P-ISBN(Paperback): 9780521357036

Subject： O29 applied mathematics

Keyword：数学理论

Language： ENG

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Mathematics as a Service Subject

Description

Based on the International Commission on Mathematical Instruction conference held in early 1987, this volume consists of a number of key papers presented by international authorities on the role of mathematics in applied subjects, such as engineering, computer science, and mathematical modelling. The importance of certain mathematical ideas, such as geometry and discrete mathematics is stressed, as well as the more classical methods. The book includes a long article by the editor synthesising some of the main themes and trends debated at the conference.

Chapter

On the teaching of mathematics as a service subject

I Everywhere there is a need for mathematics

II What is changing, what is to be done, and why?

III What is being done and could be done. With whom? How?

What mathematics should be taught to students in physical sciences, engineering, ... ?

1 DOMAINS OF MATHEMATICS THAT SHOULD/COULD BE TAUGHT

2 SCATTERED TOPICS, OR UNIFIED AND UNIFYING ONES

3 MODERN OR NOT

A Life has changed

B Mathematics has changed, and provides new possibilities

C Efficiency, rigour, efficiency of rigour

4 WHICH LEVEL?

Example: differentials in physics

1st Level

2nd Level

3rd Level

Mathematics as a service subject - Why?

Incidents

A View from One Employer

Mathematics in Telephony

Why We Teach Mathematics

Teaching first-year students

Let us describe some of the problems in more detail.

References

Teaching mathematics to engineering students utilising innovative teaching methods

Abstract

INTRODUCTION

GUIDED READING

SIMULATION/CASE STUDIES

THE CONTINUOUS SYSTEM SIMULATION LABORATORY

CONCLUSION

REFERENCES

Discrete mathematics: some personal thoughts

Examples

(i) Graph-addressing

(ii) Switching problems in communication.

(iii) error-correcting

(iv) quality control

(v) Write once memories.

(vi) Conference telephone calls

(vii) Search time

(viii) Winning in a football pool

(ix) Pictures of Mars

Mathematical education for engineering students

Brief Review of Mathematical Education in Japan

Mathematical Education in the First Half of a University Course

Mathematical Education in the Latter Half of a University Course

Survey of Staff Opinions

Improving Mathematical Education for Engineering Students

Influence of Computers

References

Some reflections about the teaching of mathematics in engineering schools

The short term :

The medium and the long terms :

Applied mathematics.

The teaching of mathematics :

Computers.

An epilogue by way of conclusion.

Teaching mathematics as a service subject

1. LEARNI NG TO COMMUNI CATE

2. LEARNI NG TO DO MATHEMATICS (AND COMMUNICATE IT)

3. LEARNING TO RELATE TO HATHEHATICS

4. LEARNING TO LEARN HATHEHATICS

REFERENCES

A Final Statement

List of Participants

Contents of Selected Papers on the Teaching of Mathematics as a Service Subject

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