The Popularization of Mathematics ( ICMI Studies )

Publication series :ICMI Studies

Author: A. G. Howson; J. -P. Kahane  

Publisher: Cambridge University Press‎

Publication year: 1990

E-ISBN: 9781139245548

P-ISBN(Paperback): 9780521408677

Subject: O1 Mathematics

Keyword: 数学理论

Language: ENG

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The Popularization of Mathematics

Description

This book presents the papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17–22 September 1989. The event was organized in conjunction with a highly successful touring exhibition known as the 'Pop Maths Roadshow'. Inspired by the discussion document prepared by Howson, Kahane and Pollak, the symposium consisted of three plenary sessions discussing the problems faced in the popularization through particular media. Members were present from a variety of backgrounds and discussion groups were devoted to specific themes, such as the image of mathematicians, TV and films, and mathematics in different cultures.

Chapter

Mathematics in Different Cultures Report of the Working Group

Mathematics for the Public

1. QUIRKS AND QUARKS

2. SOME OTHER IDEAS

Making a Mathematical Exhibition

1. INTRODUCTION.

2. HOW IT BEGAN

3. MAJOR PROBLEMS

3 .1. Novel Aims

3.2. Lack of design experience

3.3. Insufficient funds

3.4. Stand-alone exhibition

3.5. Visual impact

3.6. Use of language

4. AIMS

4.1. Structure

4.2. Content

5. CONSEQUENCES OF THE AGREED AIMS

5.1. Structural

5.2. Content

Mathematical content

5.2.1. Mathematics and discovery

5.2.2. Normality of mathematical methods

5.2.3. The context of history and art

6. Some mathematical methodology

6.1 Representation

6.2 Classification

6.3 Invariants

6.4 Analogy

6.5 Decomposition into simple elements

6.6 Applications

7. CONCLUSION

REFERENCES

The Role of Mathematical Competitions in the Popularization of Mathematics in Czechoslovakia

1. POPULARIZATION OF MATHEMATICS IN CZECHOSLOVAKIA

2. MATHEMATICAL COMPETITIONS (some general notes)

3. MATHEMATICAL COMPETITIONS IN CZECHOSLOVAKIA

Games and Mathematics

1. MATHEMATICS, ART AND GAMES

2. THE NATURE OF GAMES

3. THE PRACTICE OF MATHEMATICS AND GAMES

4. THE IMPACT OF GAMES ON MATHEMATICS

5. MATHEMATICS IN GAMES

6. THE SPIRIT OF GAMES IN MATHEMATICS

7. MATHEMATICAL GAMES AS AN INSTRUMENT FOR THETEACHING AND POPULARIZATION OF MATHEMATICS

Mathematics and the Media

1. INTRODUCTION

2. THE ROLE OF MATHEMATICS

3. MATHEMATICS AND THE VARIOUS MEDIA

4. MATHEMATICS AND FILMS

5. MATHEMATICS AND NEWSPAPERS

6. CONCLUSIONS

REFERENCES

Square One TV : A Venture in the Popularization of Mathematics

1. THE CTW MODEL FOR TELEVISION PRODUCTION

2. SQUARE ONE TV

3. AUDIENCES

4. GOALS FOR THE SERIES

5. RESEARCH ACTIVITIES

6. ISSUES RELATED TO POPULARIZATION

7. NEXT STEPS

Frogs and Candles - Tales from a Mathematics Workshop

1. WORKSHOPS AND THE POPULARISATION OF MATHEMATICS

2. THE ATM CHILDREN'S WORKSHOP GROUP

3. EVALUATION

4. WORKSHOP AS EXEMPLAR

5. SUMMARY

REFERENCE

Mathematics in Prime-Time Television: The Story of Fun and Games

1. FROM IDEA TO TRANSMISSION

2. THE STRUCTURE OF FUN AND GAMES

3. A PUZZLE

4. SOME RESPONSES TO THE PROGRAMME

5. SOME CONSTRAINTS ON PRESENTING MATHEMATICS ON POPULAR TELEVISION

6. CONCLUSION

REFERENCES

Cultural Alienation and Mathematics

1. INTRODUCTION

2. BACKGROUND

3. CULTURAL ALIENATION AND MATHEMATICS

4. A MAORI PERSPECTIVE ON MATHEMATICS

5. MAORI STATUS AND PRESTIGE IN RELATION TO MATHEMATICS

6. CONCLUSIONS

REFERENCES

Solving the Problem of Popularizing Mathematics Through Problems

References

Popularizing Mathematics at the Undergraduate Level

References

The Popularization of Mathematics in Hungary

1. INTRODUCTION

2. ITEM 1: CLUBS OF YOUNG MATHEMATICIANS

3. ITEM 2: CONTEST BY CORRESPONDENCE

The Whom and By What Topics are the same as before.

4. ITEM 3: TV COMPETITIONS

5. ITEM 4: RADIO PROGRAMMES

6. ITEM 5: PERIODICALS

7. ITEM 6: BOOKS

8. ITEM 7: FREE UNIVERSITY

9. ITEM 8: SEIZING THE OPPORTUNITY

References:

Sowing Mathematical Seeds in the Local Professional Community

1. INTRODUCTION

2. THREE EXAMPLES

2.1 X-ray Camera

2.2 Credit Creation in NBFIs

2.3 Insulin Dosage Meter

3. DISCUSSION

Mathematical News that's Fit to Print

1. NEW MATHEMATICS

2. MATHEMATICAL NEWS

3. CASE STUDY

4. CATASTROPHES

5. DISTORTIONS

6. COMMITMENT TO ACTION

7. CONSEQUENCES

8. CONTROVERSY

9. LESSONS

Christmas Lectures and Mathematics Masterclasses

Criteria for choice of theorems in the Christmas Lectures

Examples of some of the theorems

Mathematics Masterclasses

Criteria for a masterclass

Examples of masterclasses

Masterclass Videos

References

Some Aspects of the Popularization of Mathematics in China

1. PUBLIC HONOURS

2. MATHEMATICAL COMPETITIONS

3. PUBLISHING

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