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Earnest, Darrell – Cognition and Instruction, 2015
This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…
Descriptors: Problem Solving, Mathematics Instruction, Graphs, Numbers
Richland, Lindsey Engle – Cognition and Instruction, 2015
Deictic linking gestures, hand and arm motions that physically embody links being communicated between two or more objects in the shared communicative environment, are explored in a cross-cultural sample of mathematics instruction. Linking gestures are specifically examined here when they occur in the context of communicative analogies designed to…
Descriptors: Foreign Countries, Nonverbal Communication, Role, Mathematics Instruction