Mathematical knowledge is only powerful to the extent to which it is understood conceptually, not just procedurally. For example, students are taught the three ways of solving a system of linear equation: by
Features of good problem solving tasks for learning mathematics
To develop higher-order thinking skills (HOTS) the mind needs to engage in higher-order learning task (HOLT). A good task for developing higher-order thinking skills is a problem solving task. But not
Teaching through Problem Solving
Problem solving is not only the reason for teaching and learning mathematics. It is also the means for learning it. In the words of Hiebert et al: Students should be allowed
The heart of mathematics
Axioms, theorems, proofs, definitions, methods, are just some of the sacred words in mathematics. These words command respect and create awe especially to mathematicians but deliver shock to many students.