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HPM 2024: Two Examples from History

Two Examples from History: Mapping Diagrams to Visualize Relations and Functions https://flashman.tiny.us/HPM2024 Mapping Diagrams are used to visualize functions and relations as an alternative to cartesian graphs. They were used in important visualizations for the initial definition of logarithms by Napier. Later they were used by Newton in his Treatise of the Method of Fluxions to visualize his solution of the problem of finding the relation of quantities, given an equation involving their fluxions. These two examples will be explained and connected (using GeoGebra) to using mapping diagrams in contemporary approaches to logarithms and differential equations illustrating how this history can be integrated into current pedagogy.
HPM 2024: Two Examples from History