We suggest that the new approach may better support students’ multiplicative and relational reasoning and problem solving. 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). Drawing on Davydov’s Theory of Developmental Instruction, we employ the relational view to analyze some multiplicative structures identified by researchers and practitioners. Our work contributes to this conversation by focusing on simple multiplicative relationships. They also propose various classifications of multiplicative structures to support students’ development of multiplicative reasoning and problem solving. A blue umbrella costs 3 times as much word-problems-multiplicative-comparison.pdf - Word. Researchers employ various views including multiplication as arithmetic operation, multiplicative structures, and multiplicative relationships. word-problems-multiplicative-comparison.pdf - Word Problems: Multiplicative Comparison A red umbrella costs 8.00. 4.OA.2 Multiply or divide to solve word problems involving multiplicative. The multiplicative reasoning that students should develop in elementary school is a key area of research in contemporary mathematics education. Represent verbal statements of multiplicative comparisons as multiplication equations.
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