Outline
BCME 9-H20 Making Sense of Integration Visually
British Congress of Mathematics Education 9
H20 April 5, 2018
Making Sense of Integration Visually:
Mapping Diagrams for Calculus
Martin Flashman
Professor Emeritus of Mathematics
Humboldt State University
Links: http://users.humboldt.edu/flashman/Presentations/BCME/BCME.LINKS.html
Abstract:
Understanding and evaluating integrals are important challenges of the calculus. Mapping diagrams, frequently coupled with tables, are a valuable alternative to graphs for visualizing functions and integration. The session will start with the basics of mapping diagrams to visualize linear functions, the differential, and Euler’s numerical method for solving differential equations. Participants will take a hands on mapping diagram tour using GeoGebra through visualizations of integration theory and practice, concluding with visualizations to make sense of the Fundamental Theorems of Calculus.
