Children's mental multiplication and division strategies

Heirdsfield, Ann M., Cooper, Thomas J., Mulligan, Joanne, & Irons, Calvin J. (1999) Children's mental multiplication and division strategies. In Zaslavsky, Orit (Ed.) of the 23rd Psychology of Mathematics Education Conference, July, 1999, Haifa, Israel.


This paper reports changes in children’s mental computation solution strategies for multiplication and division applied word problems (involving 1, 2 and 3-digit numbers combinations). The study followed 95 Queensland children from Year 4 through to the end of Year 6. The children’s responses showed a development from simple counting to use of derived or known facts for small number combinations, and from counting to quite complex and creative strategies to algorithmic procedures for large number combinations. There was some evidence of instructional effects in the increased use of the taught algorithms, the continued use of counting strategies. There was, at times, sustained use of wholistic.

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ID Code: 1435
Item Type: Conference Paper
Refereed: Yes
Keywords: mathematics education, mental computation, multiplication, division
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 1999 (please consult author)
Deposited On: 27 May 2005 00:00
Last Modified: 10 Aug 2011 16:23

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