The Art of Problem Posing

The Art of Problem Posing By Stephen I. Brown, Marion I. Walter
2005 | 193 Pages | ISBN: 0805849769 | PDF | 12 MB
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 mathLevel 1:Define the attributes of a problem or conceptLevel 2:Ask what if not for each concept.Level 3:Ask Questions about the results of 0 - 2.Level 4:Analyze (solve) the problemThe 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.