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:
Substitution to Augmentation – Visualizing Probability:
  • NetLogo
  • The Center for Connected Learning (CCL) and Computer-Based Modeling – Connected Mathematics: ProbLab
Modification to Redefinition – Programming Systems:

Visualizing Chemistry: 3D and the Secret Life of Molecules

The eighth podcast in the As We May Teach… series is now online:

Visualizing Chemistry: 3D and the Secret Life of Molecules

The theme for this podcast: how visualization and computational tools can make chemistry more accessible for a broader audience, and increase everyone’s understanding of the subject at the same time.

As always, the resources for this podcast are listed below. If you have questions about the tools used in the podcast, by all means please post them in the comments — I’ll be happy to answer them.


Visualizing Chemistry: 3D and the Secret Life of Molecules
Substitution to Augmentation — Visualizing Molecules
Modification to Redefinition — Computing Molecules:
Sustaining Redefinition — Exploring Molecules:

Reading Math — I: Visualization as Virtual Interpreter

This week’s podcast in the As We May Teach… series is now online:

Reading Math — I: Visualization as Virtual Interpreter

This podcast focuses on the use of visualization tools as a way to provide everyone access to mathematics as a language they can “read” and apply, even if they have not taken advanced courses in the subject.

The resources for this podcast are listed below. If you have examples of uses of visualization tools in math that you would like to share, by all means please do so via the comments.


Reading Math — I: Visualization as Virtual Interpreter
Math Literacy and Technology
Substitution to Augmentation — Interactive Demo
Augmentation to Modification — Interactive Exploration
Modification to Redefinition — Data Analysis and Exploration
Sustaining Redefinition — Pure and Applied Mathematical Exploration

Collaboration and Peer Instruction: Google Docs and Forms

A new podcast in the As We May Teach… series is now online:

Collaboration and Peer Instruction: Google Docs and Forms

This podcast concludes the “Google Docs Trilogy,” discussing uses of the Forms module to enhance collaboration, and to change the dynamics of classroom discussion. Coming next week: technology and “reading math.”

As usual, resources for this podcast are listed below; please let me know what you think via the comments.


Collaboration and Peer Instruction: Google Docs and Forms
Collaboration and the Flow of Data
Peer Instruction and ConcepTests