Skip to main content
SpringerLink
Log in

Magnitudes and rational numbers—A didactical analysis

  • Address of the First International Congress on Mathematical Education
  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Braunfeld, P. and Wolfe, M., ‘Fractions for low achievers’, The Arithmetic Teacher, Dec. 1966, 647–655.

  2. Braunfeld, P., Diley, C., and Rucker, W., ‘A new UICSM approach to fractions for the junior high school’, The Mathematics Teacher, March 1967, 215–221.

  3. Stretchers and Shrinkers, 4 vols., Harper & Row, New York, 1969.

  4. Dienes, Z. P., Fractions, Paris 1967.

  5. GrieselH., “Eine Analyse und Neubegründung der Bruchrechnung’, Math.-physik. Semesterberichte 15, (1968), 48–68.

    Google Scholar 

  6. Griesel, H., ‘Logarithmieren und Potenzieren von Grössen mit einer Grundlegung der Theorie der Grössensysteme’, Der Physikunterricht 1968/3, 47ff.

  7. GrieselH., “Algebra und Analysis der Größensysteme’, Math.-phys. Semesterberichte 16 (1969), 56–93.

    Google Scholar 

  8. KirschA., ‘Eine Analyse der sog. Schlußrechnung’, Math.-phys. Semesterberichte 16 (1969), 41–55.

    Google Scholar 

  9. ‘An Analysis of commercial arithmetic’, Educational Studies in Mathematics 1 (1968–69), 300–311.

  10. Kirsch, A., ‘Die Einführung der natürlichen Zahlen als Operatoren’. To be published in the report: Beiträge zum Mathematikunterricht 1969. Schroedel, Hannover; as well as in Math.-phys. Semesterberichte.

  11. PickertG., ‘Die Bruchrechnung als Operieren mit Abbildungen’, Math.-phys. Semesterberichte 15 (1968), 32–47.

    Google Scholar 

  12. Steiner, H. G., ‘Geometry in school programmes’, in Cairo Seminar 1969. UNESCO Paris '69.

  13. WhitneyH., ‘The mathematics of physical quantities. Part I: Mathematical models for measurement. Part II: Quantity structures and dimensional analysis’, Amer. Math. Montyly 75 (1968), 115–138, 227–256.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karlsruhe

    Hans-Georg Steiner

Authors
  1. Hans-Georg Steiner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Steiner, HG. Magnitudes and rational numbers—A didactical analysis. Educ Stud Math 2, 371–392 (1969). https://doi.org/10.1007/BF00303470

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00303470

Keywords

Search

Navigation