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Foundational Reasoning Abilities that Promote Coherence in Students' Function Understanding

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References

1979National Council of Teachers of Mathematics8,499 cited
2002Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study597 cited
1992Development of the process conception of function400 cited
1994Images of rate and operational understanding of the fundamental theorem of calculus366 cited
1996Understanding the limit concept: Beginning with a coordinated process scheme351 cited

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2012TOOL USE AND THE DEVELOPMENT OF THE FUNCTION CONCEPT: FROM REPEATED CALCULATIONS TO FUNCTIONAL THINKING116 cited
2009Collapsing Dimensions, Physical Limitation, and Other Student Metaphors for Limit Concepts114 cited
2013Quantitative Reasoning and the Sine Function: The Case of Zac101 cited
2017A hypothetical learning trajectory for conceptualizing matrices as linear transformations81 cited
2013Covariational reasoning and invariance among coordinate systems73 cited
2021Ideas foundational to calculus learning and their links to students’ difficulties69 cited
2013A Modeling Perspective on Interpreting Rates of Change in Context60 cited
2013Chunky and Smooth Images of Change.59 cited

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