RESOURCES: Reading

The following books have been instrumental in developing my philosophy and as resources for problems and activities.

A Mathematician's Lament 
Paul Lockhart

A thoughtful examination of how a traditional mathematics education fails to show students the beauty, creativity, and playfulness of true mathematics.

What's Math Got To Do With It 
Jo Boaler

An alternative approach to mathematics education based on Jo Boaler's research and experience in implementing rich, student-driven problems.

Mathematical Thinking and Problem Solving
Alan Schoenfeld

There are some amazing papers in this compilation, particularly Schoenfeld's "Reflections on Doing and Teaching Mathematics" and Romberg's "Classroom Instruction That Fosters Mathematical Thinking and Problem Solving: Connections Between Theory and Practice."

Thinking Mathematically
Mason, Burton, and Stacey

Concrete analysis of the mathematical problem solving process and advice on how to cultivate these habits in students/people.

Fostering Algebraic Thinking
Mark Driscoll

An excellent resource for problems along with analysis about the habits that the problems are attempting to foster.

Designing Groupwork
Elizabeth Cohen

A great resource on designing group work, tasks, and fostering collaborative thinking.

Interactive Mathematics Program
Key Curriculum Press

A progressive high school textbook series that focuses on problem-based units and a constructivist approach to daily class activities.