[Dan Myer on YouTube.]
I especially like the “4 layers of a story problem” concept, which helped me understand how Dan converts textbook problems into What Can You Do With This? challenges.
The 4 Layers
In nearly every textbook problem, there exist:
- The visual
picture, diagram, or video clip — provided by the text or drawn by the student
- The mathematical structure
including the decisions of what to measure, and how, and with what units
- The sub-steps
a series of questions that will lead students to the solution, often presented as parts a, b, etc.
- The query
the Big Question which the student needs to answer
By removing the middle layers and forcing his students to come up with them on their own, Dan turns a mere exercise into a thought-provoking problem.
Yeah. I think I could do that.