Filling Vessels: An Exciting Way to Investigate Functional Dependencies
Laura Sergi — Studyly LLC, Vienna Austria
Stefan Götz — Faculty of Mathematics and Centre for Teacher Education, University of Vienna
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pp. 35–47
Abstract
When discussing and analyzing functional dependencies, schoolbooks, and teachers often use different filling curves—asking students to match various vessels with their corresponding graphs. After presenting the three basic ideas of functional thinking, the authors demonstrate ways of determining functional equations from analyses of filling data and discuss the use of dynamic applets with students.
Keywords: Filling curves, modeling, mathematical inquiry, functional thinking
Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856 · North American GeoGebra Journal