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Direct linkTzur, Ron; Johnson, Heather L.; Hodkowski, Nicola M.; Nathenson-Mejia, Sally; Davis, Alan; Gardner, Amber – Australian Primary Mathematics Classroom, 2020
Children learn to find answers when multiplying two whole numbers (e.g., 3 × 7 = 21). To this end, they may repeatedly add one number (e.g., 7 + 7 + 7 = 21). But what meanings do they have for multiplication? The authors address this issue while sharing an innovative, playful task called Please Go and Bring for Me (PGBM). Drawing on the…
Descriptors: Mathematical Concepts, Concept Formation, Multiplication, Mathematics Instruction
Download full textHodkowski, Nicola M.; Gardner, Amber; Jorgensen, Cody; Hornbein, Peter; Johnson, Heather L.; Tzur, Ron – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this paper we examine the application of Tzur's (2007) fine-grained assessment to the design of an assessment measure of a particular multiplicative scheme so that non-interview, good enough data can be obtained (on a large scale) to infer into elementary students' reasoning. We outline three design principles that surfaced through our recent…
Descriptors: Elementary School Students, Mathematics Instruction, Multiplication, Thinking Skills
