So is that 3rd grader getting single-subject acceleration? Are you at a LLIV center? |
Wow. You must have had some terrible teachers. We took one year of geometry- but then it’s applied again in pre calc and calc and physics. So yes, I get memorizing all of those formulas seems a worth three year process, but when you apply them through your other classes, it actually builds on it and makes more sense. |
DP, but disagree on this one. While you're right that geometry comes up a lot in precalc/physics, it really doesn't build on the Euclidean geometry learned in geometry class. Most importantly, geometry is NOT about memorizing facts, it's about logical reasoning, so not sure why you're equating it to memorization of formulas. Some amount of geometry absolutely should be studied every year in math classrooms, and it really is sad that it is not. Also the results speak for themselves: when compared to other countries, US kids have a very limited understanding of geometry mainly because of how infrequently and illogically it is taught in schools. |
Suppose someone took one year of algebra (basic stuff like quadratic formula, functions, etc) and spent the rest of their highschool curriculum on geometry. This is what they said: "We took one year of algebra- but then it’s applied again in analytic geometry and calc and physics. So yes, I get memorizing all of those formulas seems a worth three year process, but when you apply them through your other classes, it actually builds on it and makes more sense." How would you convince this person that the algebra they were exposed to was insufficient? They seem quite convinced that their level of algebra education is enough. |
DP. We derived all the geometry formulas in calculus. We didn't spend as much time on proofs as you want but we learned geometry. From just one year of it. As well as all the other years of math. |
DP. We certainly didn't derive geometry in my BC calc class, but were more or less expected to know it already, or very quickly understand it. While I was very good at algebra and was able to get a 5 on the AP exam, the class felt semi-frustrating at times. Looking back now, I realize that all the portions I didn't quite understand very well, were related to geometry: similar triangles, etc. Back then I was too young to figure out why I couldn't solve certain problems, but now I know that it was because I hadn't understood geometry well enough. Take geometry, lots of it if you can. It will help your intuition levels in many other areas of math and science (and real life!) |
I still use it. Just one year of it was fine! Thanks!!!! |
Can you even name or list "all the geometry formulas" that your derived in Calculus? I know I can't list all the geometry formulas. Suppose our hypothetical person claims "we derived all the algebra formulas in calculus". How would you respond? |