Game Building with Complex-Valued Functions

In this paper, we describe how we integrated complex analysis into the second semester of a geometry course designed for preservice secondary mathematics teachers. As part of this inquiry-based course, the preservice teachers incorporated their geometric understanding of the arithmetic of complex nu...

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Bibliographic Details
Published in:PRIMUS : problems, resources, and issues in mathematics undergraduate studies resources, and issues in mathematics undergraduate studies, 2017-10, Vol.27 (8-9), p.869-879
Main Authors: Dittman, Marki, Soto-Johnson, Hortensia, Dickinson, Scott, Harr, Tim
Format: Article
Language:English
Subjects:
Arithmetic
Complex analysis
Complex numbers
Concept Formation
Creativity
Educational Technology
Functions (mathematics)
game
Games
Geometer's Sketchpad
Geometry
Inquiry method
Mathematical Concepts
Mathematics teachers
Preservice Teacher Education
Preservice Teachers
Secondary School Mathematics
Secondary School Teachers
Teachers
Technology Uses in Education
Video Games
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Summary:In this paper, we describe how we integrated complex analysis into the second semester of a geometry course designed for preservice secondary mathematics teachers. As part of this inquiry-based course, the preservice teachers incorporated their geometric understanding of the arithmetic of complex numbers and complex-valued functions to create a game using Geometer's Sketchpad. We detail a game created by a pair of preservice teachers that exemplifies their creativity and knowledge of complex-valued functions. Given inquiry-based courses have inherent challenges we also present projects that were not as exemplary.
ISSN:1051-1970
1935-4053
DOI:10.1080/10511970.2016.1234527