The Singapore Ministry of Education uses a graphic to represent their vision for mathematics teaching: a pentagon, with problem solving at the center. You will see five interdependent, yet necessary elements surrounding it.
- Processes - Thinking skills
- Concepts - Numerical, Geometrical, Algebraic, Statistical
- Skills - Estimation/Approximation; Mental calculation; Communication; Use of mathematical tools; Arithmetic manipulation; Algebraic manipulation; Handling data
- Attitudes - Confidence and Perseverance, Interest and Appreciation
- Metacognition - Monitoring one's thinking
Students are encouraged to consider how they think, how they communicate, and how they solve problems, so they can apply their skills to subsequent problems.
Problem Solving in Singapore Math (video)Source: Singapore Mathematics Framework