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Direct linkTillema, Erik S. – Mathematical Thinking and Learning: An International Journal, 2020
Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…
Descriptors: Mathematics Instruction, Multiplication, Mathematical Concepts, Teaching Methods
Alexander, Patricia A.; Zhao, Hongyang; Sun, Yuting – Mathematical Thinking and Learning: An International Journal, 2020
In this study, we analyzed the imprecise (i.e., less mathematically precise) responses that 148 third- to fifth-grade Chinese students made on selected-response problems that were part of a spontaneous mathematical focusing task, the Quantitative Relations Test for Chinese Children (QRTC[superscript 2]). The purpose for this analysis was to…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Elementary School Students
Finesilver, Carla – Mathematical Thinking and Learning: An International Journal, 2017
The move from additive to multiplicative thinking requires significant change in children's comprehension and manipulation of numerical relationships, involves various conceptual components, and can be a slow, multistage process for some. Unit arrays are a key visuospatial representation for supporting learning, but most research focuses on 2D…
Descriptors: Multiplication, Computation, Numeracy, Number Concepts
