8

Echoing @AndreasBlass' remark, and having experienced somewhat similar episodes, it is already precarious enough to make such choices _for_oneself_. So, to directly answer your question: I think "no, do not encourage others to (too violently) disconnect from the math curriculum at school". I don't think it's about problem-solving versus calculus, at all. And,...


7

The article at artofproblemsolving seems silly to me. The author's idiosyncratic opinion seems to be that students who are ready to take calculus should refrain from taking calculus and instead do math contests. People are all different, and there is not just one appropriate path for a mathematically precocious student. Some people might want to take ...


4

[VERY LONG ANSWER, needs patience to read through] I feel this is a problem many students who are good at maths face. They understand the simple tricks and patterns which are present in the school syllabus and so it is simple for them and after some practise and memorisation they are done. Then they seek out more maths and find out about topics like ...


2

I will also chime in and say that the argument on the linked Art of Problem Solving site is unpersuasive, and somewhat misses a broader point. Ultimately, the real point of the mathematical discipline is to identify patterns in systems and prove their correctness (hopefully in an insightful, persuasive, explanatory style). The "trap" that I would identify ...


2

I've never done this myself, but what you could do is make a some sort of tiered summarization where the major topics have blue tabs, then subtopics have red tabs, and then minor subtopics have green tabs. And as you do notes, the major ideas will be on the blue, the examples could be on red, and proofs and nuance could be green. This way, if you look at all ...


1

I recommend to do some analysis of the situation. Telling us how the long the chapter is means nothing if we don't know how fast you have to cover things. Try to look at the situation as pages per day. Recommendations: Work every day and do the required pages every day, to stay on track. (Perhaps) just chalk this up as a course that is going to take more ...


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