Developing Students’ Intuition using physical Models November 17th, 2016 Dan Rockwell Oregon State University

If a picture speaks 1000 words then a 3D model speaks VOLUMES. motivation If a picture speaks 1000 words then a 3D model speaks VOLUMES.

or: How I Learned to Stop Worrying and Love Plastic 3D Printing and Math or: How I Learned to Stop Worrying and Love Plastic November 17th, 2016 Dan Rockwell Oregon State University

20 minutes compressed into 25 seconds

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How Did I Obtain a 3D Printer? An internal Oregon State University grant: Learning Innovation Grant

Why is 3D-Printing Good for Math? Precision and Accuracy 3D Visualization Kinesthetic Learning

Examples

Examples Volumes of Revolution Volumes by Slicing Surfaces (2-manifolds) – e.g. Hyperbolic Paraboloid Tetrahedron Triple Integral Differentials Constrained Optimization Limits of f(x,y) More…

Volumes by Slices

Problem & Image Borrowed From Calculus: Early Transcendentals Briggs, Cochran, Gillett,…

Digital Representations of a Surface OpenSCAD Grapher

Constrained optimization How do we get our students to conceptually understand constrained optimization quickly?

Design one object that fits “snugly” through all three holes.

Links Thank you AMATYC, Scott Peterson, and all of you. Learning Innovation Grant: http://leadership.oregonstate.edu/technology-funding/learning-innovation- grant/individual-grants-learning-innovation-grant OpenSCAD: http://www.openscad.org Grapher: http://en.wikipedia.org/wiki/Grapher Thank you AMATYC, Scott Peterson, and all of you. November 17th, 2016 Dan Rockwell Oregon State University