74 Alabama Journal of Mathematics To what extent can problem solving be taught?Of course, some of us are natively more clever than others, but we can all learn how to be better problem solvers and, as a result, better mathematicians.
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This is the belief of the authors; all of whom are renowned problem posers, problem solvers, and coaches, who have achieved distinction in all these capacities at the highest levels of international mathematics competition.
I ended up purchasing these four books recently, after looking around quite a bit for books providing coherent and thoughtful introductions to problem solving.
There are many other fine problem-solving books on the market (many of which are referenced in these four), but these attracted me because each is intended to share the author’s knowledge and experience in an organized fashion.
Each is a thorough tutorial, presenting not only general problem solving heuristics, but also many details on specific mathematical ideas and their applications to problem solving.
The path may be long and diﬃcult, but it has already been demarcated and cleared.
Problems, on the other hand, are stated in such a way as to suggest no particular method of solution.