Reinventing Difficult Concepts in Advanced Mathematics

Document Type

Presentation Abstract

Presentation Date

3-31-2025

Abstract

Many students struggle with abstract mathematical structures and concepts due to their highly formal nature and lack of intuitive entry points. In this talk, I explore how we can leverage the Realistic Mathematics Education (RME) framework to help students reinvent difficult concepts in number theory and abstract algebra. Through carefully designed instructional sequences, students work together to reinvent the concept of a group in abstract algebra and promote the learning of primitive roots in number theory, perhaps making these concepts more accessible and meaningful. Attendees will gain insights into practical strategies for implementing RME in advanced mathematics courses, ultimately bridging the gap between intuition and formal mathematical abstraction.

Additional Details

March 31, 2025 at 3:00 p.m. Math 103

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