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This paper illustrates the role of a Thinking-about-Derivatives task in identifying learners’ derivative conceptions and for promoting their critical thinking about derivatives of absolute value functions. The task included three parts: Define the derivative of a function f(x) at x=x 0, Solve-if-Possible the derivative of f(x)=|x| at x=2 and at x=0, and evaluate the correctness of suggested...
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