Stage 3: Conceptual Understanding, Stage 4: Disciplinary Thinking

Cultivating Thinking in the Disciplines

Knowledge does not fall from the sky. Someone discovers it! There are complex processes that are essential to the functioning of each discipline -- and they take years to cultivate! How do we help students to build their understanding and use of these processes? Dr. Lois Lanning's Structure of Process, the complement to Dr. Erickson's… Continue reading Cultivating Thinking in the Disciplines

Stage 4: Disciplinary Thinking

Is mathematical thinking natural?

Many math teachers struggle to teach disciplinary thinking in their classrooms. The list of procedures that students must "master" by the end of each math course seems overwhelmingly long. There is no time for students to "play" with math, explore its beauty, or think deeply about any one idea in the course when a new… Continue reading Is mathematical thinking natural?