Rules in Arithmetic. Learning the Basic Facts

  • Miriam A. D. Wolters


At the present time there is no teacher who can actually say that all is well with the teaching of arithmetic.


Basic Fact Commutative Property Instruction Period Thinking Strategy Informal Experience 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Baroody, A.J., Ginsburg, H.P., Waxman, B., 1983, Children’s use of mathematical structure. Journal for Research in Mathematics Education 14 (3), 156–168.CrossRefGoogle Scholar
  2. Carnine, D.W. and Stein, M., 1982, Organizational Strategies and Practice Procedures for Teaching Basic Facts. Journal for Research in Mathematics Education. Jan., 65–69.Google Scholar
  3. Dienes, Z.P., 1960, Building up mathematics. London.Google Scholar
  4. Grossnickle, F.E. and Reckzak, J., 1973, Discovering meanings in elementary school mathematics. 6th edition. Holt, Rinehart and Winston, Inc.Google Scholar
  5. Ho Ngok Daj; 1982, De psychologische problemen van het moderne wiskunde-onderwijs in de eerste klassen van de basisschool ( 1976 ). In M. Wolters (red.), Perspectieven op ontwikkelend onderwijs. Vertalingen-bundel Russische Psychologie. R.U. Utrecht, IPAW.Google Scholar
  6. Ho Ngok Daj, 1972, Kunnen tweedeklassers algebraische operaties leren uitvoeren? Voprosy psichologii (1) 85–97 (in het russ.).Google Scholar
  7. Houlihan, D.M., and Ginsburg, H.P., 1981, The addition methods of first-and second-grade children. Journal for Research in Mathematics Education. March, 95–106.Google Scholar
  8. Myers, A.C., and Thornton C.A., 1977, The learning disabled child. Learning the basic facts. The Arithmetic Teacher, 25 (3), 46–50.Google Scholar
  9. Rathmell, E.C., 1978, Using thinking strategies to learn the basic facts. In M. Suydam, ed., Developing computational skills. The 1978 Yearbook of the National Council Of Teachers of Mathematics. NCTM.Google Scholar
  10. Rathmell, E.C., 1979, A reply to ‘Formal thinking strategies: a prerequisite for learning basic facts?’ Journal for Research in Mathematics Education. Nov., 374–377.Google Scholar
  11. Thornton, C.A., 1978, Emphasizing thinking strategies in basic fact instruction. Journal for Research in Mathematics Education. May, 214–227.Google Scholar
  12. Wolters, M., Perrenet, J. en Kwakman, F., 1981, Project Algebra opde basisschool. Interimrapport I I, R.U. Utrecht, IPAW.Google Scholar
  13. Wolters, M., 1978, Van Rekenen naar Algebra. Een ontwikkelingspsy-chologische analyse. Dissertatie R.U. Utrecht.Google Scholar
  14. Wolters, M., 1983, Rules in arithmetic. In verbal or symbolic form? Paper presented at the 3rd language and language acquisition conference “Pragmatics and education” 21–25 March. Gent.Google Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Miriam A. D. Wolters
    • 1
  1. 1.Developmental Psychology DepartmentUniversity of UtrechtHolland

Personalised recommendations