Do Math Trick Books Improve Problem-Solving Skills?

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Math trick books can enhance problem-solving skills by presenting unconventional methods not typically covered in standard curricula. Many challenging math problems require creative approaches, which these books aim to address. While some participants suggest specific techniques, like Ruffini's synthetic division, the emphasis is on the importance of developing logical thinking through problem-solving challenges. Rote learning has its benefits, but engaging with real-world problems is deemed more beneficial for skill development. Overall, these resources can be valuable for those looking to improve their mathematical reasoning.
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It seems that many hardish elementary (senior high school, first year university) maths problems are about using some type of 'trick' or method which is not obvious at first sight and they are not usually taught as only the standard methods are taught.

Are there books out there that concisely list many of these 'tricks'?
 
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You mean, like, a calculus textbook? *raises eyebrow*

- Warren
 
There's a nice "trick" to doing long division which I've found useful. Go to the tutorials and look for my entry on Ruffini's synthetic division.

Is that the sort of thing you're looking for?
 
pivoxa15 said:
It seems that many hardish elementary (senior high school, first year university) maths problems are about using some type of 'trick' or method which is not obvious at first sight and they are not usually taught as only the standard methods are taught.

Are there books out there that concisely list many of these 'tricks'?

The part that you are missing is that those problems are designed to provide you with real problem solving challenges and to encourage logical thinking. While application of rote and repetitive exercises have their place, the rewards of real problem solving exercises are far more valuable.
 
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