ERIC Number: EJ1295566
Record Type: Journal
Publication Date: 2021-Mar
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
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Available Date: N/A
Some Multiplicative Structures in Elementary Education: A View from Relational Paradigm
Polotskaia, Elena; Savard, Annie
Educational Studies in Mathematics, v106 n3 p447-469 Mar 2021
The multiplicative reasoning that students should develop in elementary school is a key area of research in contemporary mathematics education. Researchers employ various views including multiplication as arithmetic operation, multiplicative structures, and multiplicative relationships. They also propose various classifications of multiplicative structures to support students' development of multiplicative reasoning and problem solving. Our work contributes to this conversation by focusing on simple multiplicative relationships. Drawing on Davydov's Theory of Developmental Instruction, we employ the relational view to analyze some multiplicative structures identified by researchers and practitioners. We propose a typology of basic multiplicative relationships as well as their specific graphical representations as a set of mental tools allowing for a holistic flexible understanding of the multiplicative situations, simple and complex, primary school students usually encounter (in grades 1-6). We suggest that the new approach may better support students' multiplicative and relational reasoning and problem solving.
Descriptors: Multiplication, Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Classification, Visual Aids
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Elementary Education
Audience: N/A
Language: English
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Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A