The development of place value skills in primary and middle school children

Abstract

Get full access to this article

View all access options for this article.

References

Cairns

M. A.

(1981), Content Analysis of Three Junior Mathematics Schemes. Centre for Educational Research and Development, University of Lancaster.

Collis

(1975), A Study of Concrete and Formal Operations in School Mathematics: a Piagetian Viewpoint. Victoria: Australian Council for Educational Research.

Dienes

Z. P.

(1960), Building up Mathematics. London: Hutchinson.

Hesse

K. A.

(1970), Graded Arithmetic Practice, Book 1. London: Longman.

McIntosh

(1978), ‘Some subtractions’, Mathematics Teaching, No. 83.

McIntosh

(1979), private communication.

Pascual-Leone

(1970), ‘A mathematical model for the transition rule in Piaget's development stages’, Acta Psychologica, 32, pp. 301–45.

Schonell

F. J.

Diagnosis of Individual Difficulties in Arithmetic. Edinburgh: Oliver & Boyd.

Schonell

F. J.

, and

F. E.

(1957), Diagnosis and Remedial Teaching in Arithmetic. Edinburgh: Oliver & Boyd.

10.

Shuard

(1979), review of Mathematics and the 10 year-old, Research in Education, 22.

11.

Ward

(1979), Mathematics and the 10 year-old (Schools Council Working Paper 61). London: Evans/Methuen Educational.

12.

Mathematics for Schools Level II. Addison Wesley, 1971.

13.

School Mathematics Project 7-13. Cambridge University Press, 1977.

14.

Alpha Mathematics (second edition). Schofield & Sims, 1979.

15.

Oxford Junior School Mathematics. Oxford University Press, 1971.