A research on the creation of problems for mathematical competitions

Andreas Poulos

This paper describes the steps that a specialist in problem posing takes in order to create problems for mathematics competitions. We focus on a specialist's techniques and strategies on problem posing and we attempt to answer the following research questions: a) what characteristics make a mathematical problem interesting and suitable for competitions, b) how do techniques in problem posing differ from one expert to another, and what kind or level of creativity is required of problem posing for mathematics competitions.