The Art of Problem Posing

The Art of Problem Posing

The Art of Problem Posing

The Art of Problem Posing

Synopsis

Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field.

Special features include:

• an exploration ofthe logical relationship between problem posing and problem solving

• a special chapter devoted to teaching problem posing as a separate course

• sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed

• a special section on writing in mathematics

Excerpt

x + y = z

After looking at the above equation, respond to the following:

"What are some answers?"

We have asked this question of our students and colleagues over the years. Before reading on, you might wish to answer it yourself. Jot down a few responses on a piece of paper, and we will then discuss the significance of the above question.

First Question Revisited

What was your reply to the question which opened this chapter? Answers will depend in part on your level of mathematical experience. People who have had very little experience with mathematics frequently respond, "Oh, that reminds me of some statement about right triangles, but I can't remember it exactly."

Those who have had more experience with mathematics sometimes respond with a list like the following:

3, 4, 5
5, 12, 13
8, 15, 17.

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