Students are involved in asking questions about their own experiences, interests and concerns, to develop mathematical curiosity.
Students develop, select and use a range of strategies to solve problems.
Students learn mathematics on their experiences and relating them to existing knowledge and understanding. Working Mathematically is more than just algorithmic skills. A problem exists when there is a blockage of some sort between the problem solver and the solution. In the photograph below, the mountain climber needs to climb the mountain to reach their goal - to get to the top. One approach to the teaching of problem solving is explicit teaching of a small number of strategies.