Polya's approach centered on three key principles. First, he championed active learning, believing students learn best by discovering solutions themselves rather than being told answers. Second, he emphasized heuristic thinking - the art of guided discovery and learning from experience, viewing problem-solving as a skill that can be developed through practice. Third, he developed sophisticated questioning techniques that guide students toward solutions while encouraging independent thinking.
- Understand the Problem
- Clearly identify what you're being asked to do
- Gather all available information
- Identify constraints and limitations
- Restate the problem in your own words
- Create visual representations where helpful