ERIC Number: EJ1219466
Record Type: Journal
Publication Date: 2019
Pages: 20
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
EISSN: N/A
Research to Practice: Developing the Amplitwist Concept
Soto-Johnson, Hortensia; Hancock, Brent
PRIMUS, v29 n5 p421-440 2019
Although students may develop extensive geometric intuition about derivatives during calculus, many complex analysis texts avoid geometric connections between the real and complex derivative. In this report, we discuss our implementation of, and student responses to, a Geometer's Sketchpad lab that was informed by mathematics education research. This lab served to guide students towards discovering a geometric description of the complex derivative known as the amplitwist, and connecting this interpretation to the derivative of a real-valued function. We hope that instructors adopt aspects of this lab to promote a more dynamic, geometric perception of complex differentiation.
Descriptors: Mathematics Instruction, College Mathematics, Geometric Concepts, Educational Technology, Technology Uses in Education, Computer Software, College Students, Concept Formation
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A