Reading Math – II: Painting by Numbers

Podcast number nine in the As We May Teach… series is now available:

Reading Math — II: Painting by Numbers

This podcast returns to the concept of math as a language that can be “read” by everybody, with the assistance in this scenario of numerical simulation and modeling tools.

Resources for this podcast are listed below. If you develop new models of your own using the resurces mentioned in this podcast, please let me know in the comments — I’d love to feature them in a future podcast.

Reading Math — II: Painting by Numbers

Prelude – A Medical Dilemma:

Paulos, J.A. Innumeracy: Mathematical Illiteracy and Its Consequences. New York: Hill and Wang, 1988. Hamm, R.M. “Underweighting of Base-Rate Information Reflects Important Difficulties People Have With Probabilistic Inference: Commentary on Koehler on Base-Rate.” Psycoloquy 5(03) (1994) Griffiths, T.L. and Tenenbaum, J.B. “Optimal Predictions in Everyday Cognition.” Psychological Science 17(9) (2006)

Substitution to Augmentation – Visualizing Probability:

NetLogo The Center for Connected Learning (CCL) and Computer-Based Modeling – Connected Mathematics: ProbLab

Modification to Redefinition – Programming Systems:

NetLogo-Educators Group Puentedura, R.R. A Simple Wolf-Sheep-Grass Simulation. (2006)