Questions for philosophy

• What is mathematics?

• What is meant by “learning” mathematics? How do children learn mathematics? What are effective learning strategies?

• What is meant by “teaching” mathematics? How should mathematics be taught? What are effective teaching strategies?

• Why do we teach mathematics in school? (i.e. What is the purpose of learning mathematics?)

• What is the role of the student in learning mathematics?

• What is the role of the teacher in teaching mathematics?