The Art of Problem Posing is a great book. The authors provide a step by step method for learning about, and solving problems in, mathematics. The method is as follows:

Level O:

Choose a starting point ie a problem or a concept in math

Level 1:

Define the attributes of a problem or concept

Level 2:

Ask what if not for each concept.

Level 3:

Ask Questions about the results of 0 - 2.

Level 4:

Analyze (solve) the problem



The authors use fairly accessible math in the process of explaining their techniques, including the Pythagorean Theorem and a few other concepts that most people will know.



I want to emphasize that this book is not just about problem posing; it also offers a technique for problem solving. The authors note that the two cannot really be completely separated.

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