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hdctambien | 2 years ago
I'm curious to think through what a second track like this would look like.
Assuming the "normal" 8-12 track is:
Algebra 1 -> Geometry -> Algebra 2 -> Trig/PreCalc -> Calculus
I think you need Algebra 1... maybe I'm too stuck in the old ways.. but at some point you need to understand what a variable is and how to "solve for x". How to plot points, read and interpret a graph. Identify patterns in series of numbers, etc.. Call it what you want, but without the content of Algebra 1 you're going to have a hard time communicating ideas in the language of Mathematics. And these kids also have a Physics graduation requirement where they will need to at least solve f=ma.
Geometry is usually the "proofs" class. You're only really learning geometry so you can write proofs. You could plug&play that with a Discrete Math/Sets/Boolean/Logic class. I think Geometry is conceptually easier to understand as a 14/15 year old because you can "see" that the proofs work. Truth tables are kind of visual, but still a little more abstract than triangles and rectangles.
Combinatorics/Probability is already a half year course that's usually combined with the half year course of Statistics. I can see non-AP versions of this class split into two full year classes.
I imagine this would be something like what you're thinking of:
Algebra 1 -> Discrete Math -> Probability -> Statistics
The only thing standing in the way of something like this is politicians (state boards of education) and startup costs. For example, the graduation requirements in Texas are "4 credits of Math including Algebra, Geometry, and Algebra 2" (and the content of those classes are explicitly laid out in the TEKS). And you would also need to buy new textbooks/curriculum... which is money that schools don't really have to spend.
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