Classical Physics

    

The Dimensionality of the Geometric Product Can be Explored with Benefit to High-School Science Students

Authors: James A. Smith

Professor Philippe Eenens, who has taught GA-based courses to freshman engineering students, asserts that "For GA to become mainstream, we must convince high-school teachers of its advantages for the teaching of basic topics of mathematics and science." One of those basic topics, according to prize-winning educator Edward Redish, is the "dimensionality" of the variables in science equations. Unlike the variables in most equations that students have worked with in math classes, the variables in science equations represent measurements that have fundamental units like time, length, and mass. Acting upon the advice of professors Eenens and Redish, we show here how the dimensionality of GA’s geometric product might be explored at the high-school level in a way that would be of lasting benefit to students.

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[v1] 2025-10-05 01:09:39
[v2] 2025-10-09 21:20:17

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