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#### Bruce Wayne

##### Member

- Apr 6, 2013

- 16

One of the many aspects of math that I'm intrigued by is pedagogy. I find that many times folks grow up thinking certain mathematical statements that in the end may be inaccurate, or totally false.

I came across a little pic on the internet, and it says "f(x) is just a fancy way of writing y". To me, this is factually incorrect. If students are allowed to think this way, I think they are actually missing out on why function notation is so important, what it does, and why y is something else.

What are your thoughts? We can talk about it from a pedagogical standpoint, a pure mathematical standpoint, and a practical standpoint.

I'll start. I have tutored students in algebra many times before, and I found that function notation was difficult for many students to grasp. I would tell them that f(x) has to be read properly, namely "the function f in terms of the variable x" and explain that the ex can be replaced with stuff. This was crucial when doing function compositions.