ERIC Number: EJ743571
Record Type: Journal
Publication Date: 2005
Pages: 7
Abstractor: ERIC
Reference Count: 32
ISBN: N/A
ISSN: ISSN-0045-0685
Fostering Multiplicative Thinking Using Array-Based Materials
Young-Loveridge, Jenny
Australian Mathematics Teacher, v61 n3 p34-40 2005
If the goal is to promote mathematical thinking and help children become flexible problem solvers, then it is important to show students multiple representations of a problem. Because it is important to help students develop both counting-based and collections-based conceptions of number, teachers should be showing students both number line (counting-based) and array (collections-based) models of multiplication. Arrays allow students to develop a deeper and more flexible understanding of multiplication/division, and to fully appreciate the two-dimensionality of the multiplicative process. Because the grids presented in this paper are structured to show the ten-based structure of the number system, and enable various different partitioning possibilities to be shown using different colouring/shading, they provide a basis for students to image or visualise multiplicative processes. Arrays have enormous potential at the senior primary and secondary school levels to help strengthen students' multiplicative thinking. The multi-coloured/shaded grids described provide a practical means of doing this. (Contains 2 figures.)
Descriptors: Arithmetic, Mathematical Models, Computation, Thinking Skills, Learning Strategies, Multiplication, Numbers, Numeracy, Mathematics Instruction
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide, South Australia 5001. Tel: +61 8 8363 0288; Fax: +61 8 8362 9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au.
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A

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