Connections, conjectures and problem solving in primary mathematics: The role of magic squares

Problem solving has been given focus in current reform statements and classroom practices of mathematics teaching and learning. Clearly, there is consensus on the value of engaging students in problem-based activities in which the learner will be driven to make more meaning from the apparent disparate concepts and procedures that are taught in the classroom. Research in the area of mathematical problem solving has identified numerous processes and knowledge components that support successful problem-solving attempts by young students. Among these, the need to model or represent a given problem appropriately has been the focus of debate in discussions about problem-solving activities in the classroom.