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Direct linkWeber, Eric; Thompson, Patrick W. – Educational Studies in Mathematics, 2014
This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and covariational reasoning, to construct a hypothetical learning trajectory (HLT) for how students might generalize their understanding of graphs of…
Descriptors: Visual Aids, Abstract Reasoning, Learning Processes, Mathematics Instruction
