These days I am reading Imre Lakatos's Proofs and Refutations and I can't stop thinking how one could utilize it in the classroom (mostly high school). Some stray half-baked ideas I have had so far are:
- To use parts of the text as a basis for a theatrical play in classroom, providing thus the opportunity to discuss (before and/or after) the ideas presented in it.
- To hand out fragments of the text and start a discussion based on those.
- Given the difficulty of Lakatos' text for high schoolers, to initiate a dialogue in classroom of a similar fashion in a more appropriate setting, e.g., some (even naive) conjecture about the naturals.
Regarding the first two ideas or similar ones, the text itself, albeit a source of inspiration, is also prohibitive. It is quite abstract in its most part and probably not the best way to introduce students to concepts around proofs (I am more than happy to be proven wrong here, however). Regarding the latter, any reference to similar approaches that might have been tested in the past would be welcome.
So, to wrap up, my question is how could one bring Lakatos' work in the classroom, either (and preferably) by utilizing some genuine parts of the text in some way or even by drawing strong inspiration from it?