A design study to develop young children’s understanding of multiplication and division

No Thumbnail Available
Authors
Bicknell, B.
Young-Loveridge, J.
Nguyen, N.
Issue Date
2016
Type
Article
Language
en
Keywords
Multiplication , Division , Mathematics
Research Projects
Organizational Units
Journal Issue
Alternative Title
Abstract
This design study investigated the use of multiplication and division problems to help 5-year-old children develop an early understanding of multiplication and division. One teacher and her class of 15 5-year-old children were involved in a collaborative partnership with the researchers. The design study was conducted over two 4-week periods in May–June and October–November. The focus in this article is on three key aspects of classroom teaching: instructional tasks, the use of representations, and discourse, including the mathematics register. Results from selected pre- and post-assessment tasks within a diagnostic interview showed that there were improvements in addition and subtraction as well as multiplication and division, even though the teaching had used multiplication and division problems. Students made progress on all four operational domains, with effect sizes ranging from approximately two thirds of a standard deviation to 2 standard deviations. Most of the improvement in students’ number strategies was in moving from ‘counting all’ to ‘counting on’ and ‘skip counting’. The findings challenge the idea that learning experiences in addition and subtraction should precede those in multiplication and division as suggested in some curriculum documents.
Description
Citation
Bicknell, B., Young-Loveridge, J., & Nguyen, N. (2016). A design study to develop young children’s understanding of multiplication and division. Mathematics Education Research Journal, 28(4), 1–17. https://doi.org/10.1007/s13394-016-0180-4
Publisher
Rights
Journal
Volume
Issue
PubMed ID
DOI
ISSN
EISSN
Collections