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

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

3. 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

4. 20 minutes compressed into 25 seconds

5. Video Removed for File Size Concerns

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

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

8. Examples

9. 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…

10. Volumes by Slices

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

13. Digital Representations of a Surface
OpenSCAD
Grapher

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

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

17. Links Thank you AMATYC, Scott Peterson, and all of you.
Learning Innovation Grant: grant/individual-grants-learning-innovation-grant OpenSCAD: Grapher:
Thank you AMATYC, Scott Peterson, and all of you.
November 17th, 2016
Dan Rockwell
Oregon State University