Skip to main content
SpringerLink
Log in

Metaphors Mediating the Teaching and Understanding of Mathematics

  • Chapter
Mathematical Knowledge: Its Growth Through Teaching

Part of the book series: Mathematics Education Library ((MELI,volume 10))

Abstract

The subject of this chapter is the use of figurative language in mathematics teaching, in particular the use of metaphors. In this introduction we want to show what place metaphors have in the communication of mathemtatical concepts.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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.

References

  • Ausubel, D.P. and Robinson, F.G.: 1969, School Learning, an Introduction to Educational Psychology,New York.

    Google Scholar 

  • Bauersfeld, H. and Zawadowski, W.: 1981, Metaphors and Metonymies in the Teaching of Mathematics, Occasional paper No. 11, IDM, Universität Bielefeld.

    Google Scholar 

  • Black, M.: 1972, Models and Metaphors,London.

    Google Scholar 

  • Cajori, F.: 1951–1952, History of Mathematical Notation,2 vols., Berlin.

    Google Scholar 

  • Davis, R.B.: 1975, ‘Cognitive Processes Involved in Solving Simple Algebraic Equations’, in The Journal of Children’s Mathematical Behavior 1, vol. 3, 7–35.

    Google Scholar 

  • Dormolen, J. van: 1977, ‘Learning to Understand what Giving a Proof Really Means’, Educational Studies in Mathematics 8.

    Google Scholar 

  • Dormolen, J. van: 1981, Didactiek van de wiskunde,Utrecht.

    Google Scholar 

  • Dormolen, J. van: 1982, Aandachtspunten, de a priori analyse van leerteksten voor wiskunde bij het voortgezet onderwijs,Utrecht.

    Google Scholar 

  • Dormolen, J. van: 1974, ‘Variabelen’, in: Euclides 60, No. 3, November 1984. Freudenthal, H., Mathematics as an Educational Task, D. Reidel Publ. Co., Dordrecht. Freudenthal, H.: 1978, Weeding and Sowing, Dordrecht.

    Google Scholar 

  • Hide, P.M. van: 1973, Begrip en inzicht,Purmerend.

    Google Scholar 

  • Hiele, P.M. van: 1987, Structure and insight,New York.

    Google Scholar 

  • Hofstadter, D.R.: 1986, Metamagical Themas: Questing for the Essence of Mind and Pattern,New York.

    Google Scholar 

  • Jakobson, R. and Halle, M.: 1956, Fundamentals of Language,Den Haag.

    Google Scholar 

  • Kaput:, 1979, ‘Mathematics and Learning: Roots of Epistemological Status’, in Lockhead, J. and Clement, J. (eds.), Cognitive Process Instruction,Philadelphia. Keitel, C., Otte, M. and Seeger,F.: 1980, Text, Wissen, Tätigkeit,Königstein-Ts.

    Google Scholar 

  • Kemme, S.: 1984, Taalaspekten van het wiskundeonderwijs, Vakgroep OW and OC, Utrecht.

    Google Scholar 

  • Miller, G.A.: 1976, ‘Images and Models, Similes and Metaphors’, in Mooij, J.J.A. A Study of Metaphor, Amsterdam.

    Google Scholar 

  • Ortony, A.: 1979, Metaphor and Thought,Cambridge.

    Google Scholar 

  • Pimm, D.: 1981, ‘Metaphor and Analogy in Mathematics’, in For the Learning of Mathematics 1 No. 3, 47–50.

    Google Scholar 

  • Pimm, D.: 1987, Speaking Mathematically, Communcation in Mathematics Classrooms, London and New York.

    Google Scholar 

  • Searle, J.R.: 1979, ‘Metaphor’, in Ortony, A., Metaphor and Thought, Cambridge. Skemp, R.R.: 1971, The Psychology of Learning Mathematics, Worthington.

    Google Scholar 

  • Steiner, H.-G: 1988 Ãœber Metaphor, Modelle und Mathematik’, in Bender, P. (Hrsg.), Mathematikdidaktik, Theorie und Praxis, Berlin.

    Google Scholar 

  • Streun, A. van et a1.: 1986, Wiskunde lijn,Vol. la, Groningen.

    Google Scholar 

  • Vollrath, H.-J.: 1978, Lernschwierigkeiten, die sich aus dem umgangssprächlichen Verständnis geometrischer Begriffe ergeben,Schriftenreihe des IDM 18, Bielefeld.

    Google Scholar 

  • Vos, W. de: 1986, ‘Het belang van vakdidactisch onderzoek voor een samenhangend onderwijsbeleid’, in Tijdschrift voor de didactiek der beta-wetenschappen, Vol. 3, No. 4.

    Google Scholar 

  • Waerden, B.L. van der: 1961, Science Awakening,Groningen.

    Google Scholar 

  • Waerden, B.L. van der: 1985, History of Algebra: from al-Khwarizmi to Emmy Noether,Berlin.

    Google Scholar 

  • Wansink, Joh.H.: 1967, Didactische oridntatie voor wiskundeleraren,Groningen.

    Google Scholar 

Download references

Authors
  1. Joop Van Dormolen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. BACOMET group, Cambridge, UK

    Alan J. Bishop , Stieg Mellin-Olsen  & Joop Van Dormolen ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Van Dormolen, J. (1991). Metaphors Mediating the Teaching and Understanding of Mathematics. In: Bishop, A.J., Mellin-Olsen, S., Van Dormolen, J. (eds) Mathematical Knowledge: Its Growth Through Teaching. Mathematics Education Library, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2195-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2195-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4095-4

  • Online ISBN: 978-94-017-2195-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation