The reason you should study calculus isn’t to learn to integrate and differentiate; it’s to overlearn basic algebra. If you are designing a proposed statistics-based calculus-replacer, it needs to give extensive experience with basic algebra.
My memory of statistics classes is fuzzy, but my impression was that it didn’t give as many opportunities to practice algebra—algebra did occurr in proofs, but the proofs were beyond the freshman/sophomore level, and not routinely assigned as homework.
That’s an intriguing idea, and now that you mention it, there are other classes that seem to have similar purposes. Physics gives you practice with basic calculus, and electromagnetics involves more multivariate calculus than you can shake a stick at.
The reason you should study calculus isn’t to learn to integrate and differentiate; it’s to overlearn basic algebra. If you are designing a proposed statistics-based calculus-replacer, it needs to give extensive experience with basic algebra.
My memory of statistics classes is fuzzy, but my impression was that it didn’t give as many opportunities to practice algebra—algebra did occurr in proofs, but the proofs were beyond the freshman/sophomore level, and not routinely assigned as homework.
That’s an intriguing idea, and now that you mention it, there are other classes that seem to have similar purposes. Physics gives you practice with basic calculus, and electromagnetics involves more multivariate calculus than you can shake a stick at.