write between one and two pages XXXXXXXXXXwords), describing where you see platonic and formalist philosophies of mathematics being applied in school mathematics curricula and/or instructional...

Platonism & formalism
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The difference between formalism and Platonism in mathematics is that mathematical
objects are respectively considered to be abstractions or representations. School studies begin
with mathematical Platonism – indeed, geometry tends to start with the Platonic Solids, a
group of objects considered to be ideal in the sense of being perfect representations that allow
one to calculate without the problems that real-world instances bring. This is true of several
branches of mathematics, as we will see, and tends to return at the higher levels of
mathematical study.
Platonist practices tend to occupy the lowest and highest levels of mathematical
teaching, with students in between tending towards a formalist approach. At the Islamic
Saudi Academy, I noticed that the teaching in the early grades (7 to 9) tended to focus...