Brilliant tudents know how and when to implement heuristic strategies. Heuristic strategies are devices which drastically limits the search for a solution in a large problem space (Polya, 2004).
They provide a general suggestion or technique for solving different types of problems and can be used independently or in combination. The ten most common strategies include:
Working backwards, Finding a pattern, Adopting a different point of view, Solving a simpler analogous problem, Considering extreme cases, Making a drawing, Intelligent guessing and testing, Accounting for all possibilities, Organizing data and logical reasoning (Posamentier, Smith and Stepelman, 2006).