Article,

Resources for Refining Mathematical Conceptions: Case Studies in Learning about Linear Functions

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Journal of the Learning Sciences, 7 (2): 209-37+ (1998)

Abstract

Describes the refinement of a conception in the domain of linear functions. Examples show how students refine their use of the x-intercept in equations of the form "y=mx+b" by narrowing problem contexts, making connections between conceptions, using a mathematical procedure, and refining verbal descriptions. Resources that teachers can draw on to support the learning of mathematical concepts are identified. (AEF)

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