Skip to main content
SpringerLink
Log in

Plenary Session Addresses

  • Chapter
Proceedings of the Fourth International Congress on Mathematical Education

Abstract

First I may say that I regret very much not being able to be with you today and participate in the Congress.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. A version of this paper has appeared in Educational Studies in Mathematics, Vol. 12, No. 2, May 1981 pp. 133–150, Copyright 1981 by D. Reidel Publishing Co., Dordrecht, Holland.

    Google Scholar 

  2. Ferreiro, E. What is written in a written sequence? Journal of Education, Boston University, Vol. 4, No. 4, 1978.

    Google Scholar 

  3. Ferreiro, E. amp; Sinclair, H. L’enfant et l’ecrit. Medecine et Hygiene, 37, No 1350, 3530–3536, 1979.

    Google Scholar 

  4. Ferreiro, E. amp; Teberosky, A. Los systemas de escritura en el dessarollo del nino, Mexico, Siglo X XI, 1979.

    Google Scholar 

  5. Greco, P., Inhelder, B., Matalon, B. amp; Piaget, J. La formation de raisonnements recurentiels. Paris, PUF, 1963.

    Google Scholar 

  6. Kamii, C. Equations in first grade arithmetic: A problem for the “disadvantaged” or for first graders in general: Paper presented at the Annual Meeting of the American Research Association, Boston (Ma.), April 1980.

    Google Scholar 

  7. Kamii, M. Place value: Children’s efforts tofind a correspondence between digits and numbers of objects. Paper presented at the Tenth Annual Symposium of the Jean Piaget Society, Philadelphia (Pa. ), May 1980.

    Google Scholar 

  8. Sastre, G. amp; Moreno, M. Representation graphique de la quantite. Bulletin de psychologie de l’Universite de Paris, 30, 346–355, 1976.

    Google Scholar 

  9. Cajori, Florian. A History of Mathematical Notations, Volume I: Notations in Elementary Mathematics. LaSalle, Illinois: Open Court, 1974.

    MATH  Google Scholar 

  10. Cassirer, E. An Essay on Man: An Introduction to a Philosophy of Human Culture. New York: Bantam, 1970.

    Google Scholar 

  11. Dawkins, Richard. The Selfish Gene. London: Paladin, 1978.

    Google Scholar 

  12. Dummett, Michael. Frege: Philosophy of Language. London: Duckworth, 1973.

    Google Scholar 

  13. Easley, J.A. and Zwoyer, Russell. Teaching by Listening-Toward: A New Day in Math Classes. Comtemporary Education, 1975, 47, 19–25.

    Google Scholar 

  14. Erlwanger, H. Benny’s Conception of Rules and Answers in IPI Mathematics. Journal of Children’s Mathematical Behavior, 1973, 1, 7–26.

    Google Scholar 

  15. Gelman, R. Preschool Thought. American Psychologist, 1979, 34, 900–905.

    Article  Google Scholar 

  16. Ginsburg, H. Children’s Arithmetic: The Learning Process. New York: Van Nostrand, 1977.

    Google Scholar 

  17. Higginson, William. Language Logic and Mathematics: Reflections on Aspects of Research and Education. Revue de Phonetique Appliquee, 1978, 46–47, 101–132.

    Google Scholar 

  18. Higginson, William. Berry Undecided: A Digital Dialogue. Mathematics Teachng, 1988, 9l, 813.

    Google Scholar 

  19. Higginson, William. Upstaging Piaget: The Child as Dialectical Constructivist (231–236). Proceedings of the Fourth International Conference for the Psychology of Mathematics Education, (R. Karplus, Ed.). Berkeley, CA: Lawrence Hall of Science, University of California, Berkeley, 1980.

    Google Scholar 

  20. Iverson, Kenneth E. Algebra as a Language. Appendix A (325–337) in Algebra: An Algorithmic Treatment. Menlo Park, CA: Addison, Wesley, 1972.

    Google Scholar 

  21. Lakatos, Imre. Proofs and Refutations. Cambridge: Cambridge University Press, 1976.

    Book  MATH  Google Scholar 

  22. Menninger, Karl. Number Words and Number Symbols: A Cultural History of Numbers. Cambridge, MA: MIT Press, 1969.

    MATH  Google Scholar 

  23. Papert, Seymour. The Computer as Carrier of Mathematical Culture. Plenary Address, Fourth International Congress on Mathematical Education. Berkeley, California, August 1980.

    Google Scholar 

  24. Papert, Seymour. Mindstorms. New York: Basic, 1980. To appear.

    Google Scholar 

  25. Preston, Mike. The Language of Early Mathematical Experience. Mathematics in School, 1978, 7, 3132.

    Google Scholar 

  26. Sinclair, Hermina. Young Children’s Acquisition of Language and Understanding of Mathematics. Plenary Address, Fourth International Congress on Mathematical Education, Berkeley, California, 1980.

    Google Scholar 

  27. Stake, Robert E. and Easley, Jack A. (Co-Directors). Case Studies in Science Education: Volume I: The Case Reports. Urbana, Illinois: Center for Instructional Research and Curriculum Evaluation, 1978.

    Google Scholar 

  28. Toffler, Alvin. The Third Wave. New York: Morrow, 1980.

    Google Scholar 

  29. Waddington, C.H. Tools for Thought. London: Paladin, 1977.

    Google Scholar 

  30. Wright, Crispin. Wittgenstein on the Foundations of Mathematics. Cambridge, MA: Harvard University Press, 1980.

    MATH  Google Scholar 

  31. Hua, L.K. (1974) “Introduction to Higher Mathematics”, Vol. I. ( In Chinese, Science Press of Academia Sinica. )

    Google Scholar 

  32. Hua, L.K. (1980) “Theory of Optimisations”. (In Chinese, Science Press of Academia Sinica.)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut Ontwikkeling Wiskunde Onderwijs, The Netherlands

    Hans Freudenthal

  2. University of Geneva, Geneva, Switzerland

    Hermina Sinclair

  3. Queen’s University, Kingston, Ontario, Canada

    William Higginson

  4. Academia Sinica, Peking, China

    L. K. Hua

  5. University of Manchester, Manchester, UK

    H. Tong

  6. Brown University, Providence, Rhode Island, USA

    Dorothy L. Bernstein

  7. University of Ghana, Legon, Ghana

    J. S. Gyakye Jackson

Authors
  1. George Polya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hans Freudenthal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hermina Sinclair
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. William Higginson
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. K. Hua
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. H. Tong
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Dorothy L. Bernstein
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. J. S. Gyakye Jackson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Secondary Education, N297 Lindquist Center, University of Iowa, 52242, Iowa City, Iowa, USA

    Marilyn J. Zweng

  2. Bell Laboratories, Murray Hill, New Jersey, USA

    Henry O. Pollak (Chairman of the International Program Committee) (Chairman of the International Program Committee)

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Birkhäuser Boston, Inc.

About this chapter

Cite this chapter

Polya, G. et al. (1983). Plenary Session Addresses. In: Zweng, M.J., Green, T., Kilpatrick, J., Pollak, H.O., Suydam, M. (eds) Proceedings of the Fourth International Congress on Mathematical Education. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-8223-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-8223-2_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3082-9

  • Online ISBN: 978-1-4684-8223-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation