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> Looking back, that experience taught me about how important modeling is to pedagogy. Very good point! This is the strongest "pitch" for why one should learn
by ivan_ah 12y ago
> Looking back, that experience taught me about how important modeling is to pedagogy.
Very good point!
This is the strongest "pitch" for why one should learn math: the modelling superpowers one will acquire. Every function f(x) is a type of model (e.g. mx+b, x^2, e^x, ln(x), cos(x), |x|, etc.), and understanding the function f(x) will allow you to model any phenomenon that exhibits f(x)-like behaviour.
[note: I'm working on the web copy for a math book and trying to decide what to put above the fold to make the average Internet reader interested in math. So far the shortlist of pitches are (1) learn math easily because the book is short and written in a chill tone, (2) destroy your calculus and mechanics exams (for students), (3) get rid of math phobia (for English kids), and (4) gain modelling superpowers. So far I like (4) the best. What do y'all think? Any feedback would be much appreciated. ]
- danielvinson 12y ago"gain modelling superpowers" makes no sense to someone who doesn't already understand what modelling is and how is can be used. It is also a comical idea to try to market a book toward students these days - getting even a high school student to read anything longer than a few sentences in one sitting is a miracle.
- ivan_ah 12y ago> a comical idea to try to market a book toward students these days I agree with you generally, but if you compare with the current math textbooks (that students are usually forced to buy) you will concede there is a lot of room for improvement on the textbook side. Also, while I think technology might be cool to play with, nothing beats the book as a medium for the transmission of information.