Anchoring Inverse and Injective Functions with Techtivities

Anchoring Inverse and Injective Functions with Techtivities

Inverse and injective functions are topics in most college algebra courses. Yet, current materials and course structures may not afford students' conceptual understanding of these important ideas. We describe how students' work with digital activities, "techtivities," linking two...

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Bibliographic Details
Published in:PRIMUS : problems, resources, and issues in mathematics undergraduate studies Vol. 34; no. 2; pp. 204 - 214
Main Authors: Olson, Gary A., Johnson, Heather Lynn, Robinson, Rebecca, Knurek, Robert, Whitmore, Kristin A.
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 07-02-2024
Taylor & Francis Ltd
Subjects:
Algebra
Colleges & universities
Educational technology
Injective functions
Inverse functions
Mathematical analysis
Mathematics education
Student reasoning
Students
Technology
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Summary:Inverse and injective functions are topics in most college algebra courses. Yet, current materials and course structures may not afford students' conceptual understanding of these important ideas. We describe how students' work with digital activities, "techtivities," linking two different looking graphs that represent relationships between variables in the same dynamic situation, can help to address this problem. To bolster our argument, we provide empirical data from a broader study, drawing on student work and instructor interviews across three institutions. We conclude with illustrations of how techtivities can serve as instructional anchors for injective and inverse functions.
ISSN:1051-1970
1935-4053
DOI:10.1080/10511970.2023.2253980