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Geometric and Algebraic Reasoning in Adults on the Autism Spectrum: Excerpts from Case Studies

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PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2018

San Diego, California

Geometric and Algebraic Reasoning in Adults on the Autism Spectrum: Excerpts from Case Studies

Page: 286

In this report, I examine the unusually precise geometric reasoning of a student on the autism spectrum in linear algebra given the beginning of the Magic Carpet sequence outside of their normal curriculum, as well as strong tendencies toward geometric interpretation of other problems and its effects. I contrast this with a similarly strong tendency toward algebraic reasoning in two other adults on the autism spectrum. Analysis of possible reasons for taking these approaches and implications for teaching are presented.

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