Explain how you would teach a specific topic at the concrete level. Be sure to include how you would cause disequilibrium, how you would help them assimilate, and how you would help them accommodate.
One way I could teach planes at a concrete level would be to have students make some out of paper so they can see exactly what it is we're discussing. They can have models when thinking about 3-dimensional things. The disequilibrium would come because we're introducing what 3-D looks like rather than the 2-D they've been doing for so long. I would help them assimilate the knowledge by relating what they know of 2-D and making connections between knowledge they already have. I would accommodate by doing something that showed all the differences between what they know and the new stuff. To do this, I would most likely have them use their 3-D models and have them come up with things that they wouldn't normally be able to do in 2-D. I like the idea of having them discover the knowledge instead of having me simply tell them.
What would you add for the formal level?
For formal, we could hypothesize what it would be like in 4-dimensional. This could be a good lesson in a precalc or calc class because in calculus, we sometimes integrate equations to simulate what the 4th dimension equation would be. I could get them thinking about what it is they would actually be doing rather than plug and chug type work.
No comments:
Post a Comment