Skip to main content
Log in

An investigation of structure in elementary school mathematics: Isomorphism

  • 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

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

Instant access to the full article PDF.

Bibliography

  • Beard, R., ‘An Investigation of Concept Formation among Infant School Children’, B.P.S. Bulletin, No. 41, 1960.

  • Bulletin of the International Study Group for Mathematics Learning Summer-Fall, 1966, ‘Learning of Structures’, University of Sherbrooke, Quebec, Canada.

  • Burnside, W., Theory of Groups of Finite Order, Dover, New York, 1955.

    Google Scholar 

  • Churchill, E. M., ‘The Number Concept of the Young Child’ (Parts 1 and 2), Research and Studies, Institute of Education, University of Leeds, No. 17, pp. 34–39 and No. 18, pp. 28–46, 1958.

  • Dienes, Z. P., An Experimental Study of Mathematics Learning, Hutchinson, London, 1963.

    Google Scholar 

  • Dienes, Z. P., Modern Mathematics for Young Children, Educational Supply Association Pinnacles, Harlow, England, 1964.

    Google Scholar 

  • Dienes, Z. P. and Jeeves, M. S., Thinking in Structures, Hutchinson, London, 1965.

    Google Scholar 

  • Grossman, Israel and Magnus, Wilhelm, Groups and Their Graphs, L. W. Singer, Syracuse, 1964.

    Google Scholar 

  • Gunderson, A. G., ‘Thought Patterns of Young Children in Learning Multiplication and Division’, Elementary School Journal 55, 453–61, 1955.

    Google Scholar 

  • Haselrud, G. M. and Meyers, Shirley, ‘The Transfer Value of Given and Individually Derived Principles’, Journal of Educational Psychology 49, 293–98, 1958.

    Google Scholar 

  • High School Mathematics, D. C. Heath, San Francisco, 1966.

  • Ives, L. A., ‘The Value of the Stern Arithmetic Apparatus in a Backward Class’, British Journal of Educational Psychology 32, 300–03, 1962.

    Google Scholar 

  • Lamon, W. E., ‘Structural Learning Characteristics of Children from Differing Instructional Background as Manifested in the Learning of Certain Mathematical Groups’, Unpublished Doctoral Dissertation, University of California, Berkeley, 1968.

    Google Scholar 

  • Lunzer, E. A., ‘Recent Studies in Great Britain Based on the Work of Jean Piaget’, Occ. Pub. No. 4, N.F.E.R., London, 1960.

    Google Scholar 

  • Mathematics for the Elementary School, School Mathematics Study Group, Stanford, California, 1965.

  • Mathematics in Primary Education, UNESCO, Institute for Education, Hamburg, 1966.

  • Morfitt, M. D. K., ‘Comparison of Individual Concrete Methods and Class Methods in the Teaching of Arithmetic’, British Journal of Psychology 3, Pt. 11, 1937.

    Google Scholar 

  • Payne, Joseph N., ‘The Formation of Addition and Subtraction Concepts by Pupils in Grades One and Two’, Office of Education Final Report No. CRP-S-244, Eric Document Reproduction Service, Bethesda, Md., 1967.

    Google Scholar 

  • Sets and Numbers, L. W. Singer, Menlo Park, Calif., 1966.

  • Steffe, Leslie P. and Parr, Robert B., ‘A Study of the Development of the Concepts of Ratio and Fraction at the Fourth, Fifth and Sixth Grade Level’, Monographs: Research and Development Center for Cognitive Learning, University of Wisconsin, Madison, Wis., No. 49, 1968, p. 43.

    Google Scholar 

  • Williams, A. A., ‘Number Readiness’, Educ. Rev. 2, 31–45, 1958.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lamon, W.E., Scott, L.F. An investigation of structure in elementary school mathematics: Isomorphism. Educ Stud Math 3, 95–110 (1970). https://doi.org/10.1007/BF00381597

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00381597

Keywords

Navigation