How Can I Deepen My Understanding of High School Level Mathematics?

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The discussion centers on the challenges faced in understanding mathematics at a high school level, particularly in relation to memorization versus comprehension. The individual expresses a solid grasp of applied mathematics but struggles with traditional mathematics, feeling that they often memorize methods without fully understanding the underlying concepts. They seek guidance on how to delve deeper into mathematics without venturing into college-level complexity, especially as they prepare to start Calculus. A specific example is mentioned regarding the quadratic formula, where the individual recognizes the formula's utility but feels a lack of deeper understanding. The conversation highlights a desire for resources or strategies that promote a more profound comprehension of mathematical principles rather than rote memorization.
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Hello, I'm studying Mathematics, Applied Mathematics and Physics at something roughly slightly less detailed than a-levels (Leaving Certificate). The applied mathematics isn't a problem at all, and the "understanding" clicks properly for me. However, in mathematics I find that it sometimes comes down to memorizing methods than a true understanding. I don't want to go into college level detail, and we haven't started Calculus yet (we will be doing it soon). I'm just looking at general pointers for going into slightly more detailed mathematics, with more opportunity for understanding at roughly the A-level/High School level.

I've looked around and haven't seen anything specific to this, sorry if I'm wrong.
 
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Not millenial said:
Hello, I'm studying Mathematics, Applied Mathematics and Physics at something roughly slightly less detailed than a-levels (Leaving Certificate). The applied mathematics isn't a problem at all, and the "understanding" clicks properly for me. However, in mathematics I find that it sometimes comes down to memorizing methods than a true understanding. I don't want to go into college level detail, and we haven't started Calculus yet (we will be doing it soon). I'm just looking at general pointers for going into slightly more detailed mathematics, with more opportunity for understanding at roughly the A-level/High School level.

I've looked around and haven't seen anything specific to this, sorry if I'm wrong.

Can you give an example where you feel you are memorising the mathematics without understanding?
 
PeroK said:
Can you give an example where you feel you are memorising the mathematics without understanding?
It's not even like that, it's like I'm memorizing methods - I understand why they work but I just feel like I'm missing something. I don't know how to explain it. There was a piece in algebra to do with the minus b formula, where you use the -b2+4ac just to figure something out. I'll have a look for it.
 

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