Math Content Standard B: Problem Solving

Key Elements

Students who meet this standard should

1. Use computational methods and appropriate technology as problem-solving tools.
2. Use problem-solving to investigate and understand mathematical content.
3. Formulate mathematical problems that arise from everyday situations.
4. Develop and apply strategies to solve a variety of problems.
5. Check the results against mathematical rules.
6. Use common sense to interpret results.
7. Apply what was learned to new situations; and
8. Be able to use mathematics with confidence.

Problem Solving for All

Mathematics literacy targets effective identification, reasoning, persistence, and success at solving problems in real life situations. Mathematics should be presented as a tool to solving problems, identifying patterns, and predicting similar situations. Therefore, instruction in mathematics should be initiated as a tool for solving real problems for students. Through problems students can discover algorithms and problem solving strategies that can be applied throughout their education and lives.

Big Ideas in Problem Solving

Heuristics for problem solving
Multiple ways to solve the same problem
Diverse perspectives on the nature of the problem; effectiveness of cooperation
Using estimations and reasonableness to identify effective strategies
Determining relevant and irrelevant information