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## Main Question or Discussion Point

I'm an adult, never went to high school. I've recently started to study math on my own, and so I've had to start with pre-calc.

I'm wondering if I am supposed to be able to see the connections between things at this point, or if that comes later.

I'm talking about first year stuff, basic trig and algebra. I mean, I understand basic geometric concepts and that the sine is the relationship between the opposing catheti and the hypothenuse, stuff like that. But if the world went up in flames and all our knowledge with it, I would be hard pressed writing down geometry for future generations, starting at basic properties and working my way up to sine tables.

Same goes with algebra, I can do the work just fine, but I dont feel like I really understand what the root of a polynomial is, or the relationships between all the different approaches.

So, should I just keep doing this stuff over and over (and perhaps get a different textbook to get more than one perspective) or does this "overall understanding of how everything is deduced" come at a later point?

k

I'm wondering if I am supposed to be able to see the connections between things at this point, or if that comes later.

I'm talking about first year stuff, basic trig and algebra. I mean, I understand basic geometric concepts and that the sine is the relationship between the opposing catheti and the hypothenuse, stuff like that. But if the world went up in flames and all our knowledge with it, I would be hard pressed writing down geometry for future generations, starting at basic properties and working my way up to sine tables.

Same goes with algebra, I can do the work just fine, but I dont feel like I really understand what the root of a polynomial is, or the relationships between all the different approaches.

So, should I just keep doing this stuff over and over (and perhaps get a different textbook to get more than one perspective) or does this "overall understanding of how everything is deduced" come at a later point?

k