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Tangent: ever since highschool I've wondered about the schism between (a) the elements of "showing one's work" for algebra / calculus problems and (b) formal sy
by CoastalCoder 4y ago
Tangent: ever since highschool I've wondered about the schism between (a) the elements of "showing one's work" for algebra / calculus problems and (b) formal syllogisms to justify each step.
I have to wonder if highschool math would make more sense to some students if (a) and (b) were taught together.
- Ericson2314 4y agoI think the way society conceives if grade school math is pretty rotten, and we need to shake things up if only to build a new cultural relationship with it. Common core focusing on intuition is actually good, and someday throwing in theorem provers will add back a good challenge while keeping things approachable. I might even cut polynomials entirely to make room for the new stuff and do informal calculus earlier.
- Ericson2314 4y agoOr like, just straight up get people to practice being shape rotators lol. Do picture of something in art class, ask them to draw it from a different perspective. Math is ultimately about bridging the gap between fuzzy warm intuition and and cold artificial rigor. Focusing on either in isolation defeats the purpose.