Developing Students’ Geometric Reasoning about the Derivative of Complex Valued Functions

@article{Troup2017DevelopingSG,
  title={Developing Students’ Geometric Reasoning about the Derivative of Complex Valued Functions},
  author={Jonathan David Troup and Hortensia Soto-Johnson and Gulden Karakok and Ricardo Mauricio D{\'i}az},
  journal={Digital Experiences in Mathematics Education},
  year={2017},
  volume={3},
  pages={173-205}
}
In this article, we describe the results of a case study examining the development of two undergraduate students’ geometric reasoning about the derivative of a complex-valued function with the aid of The Geometer’s Sketchpad (GSP). Initially, our participants saw it in terms of the slope of the tangent line. Without the aid of GSP, they could describe the rotation and dilation aspect of the derivative for linear complex-valued functions, but were unable to generalize this perception to non… CONTINUE READING
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