The MKM: Identify and Assess Complexity and Prior Knowledge in Your Math Didactics

This research paper proposes the Mathematical Knowledge Matrix (MKM), a tool to address difficulties in teaching and learning mathematics by focusing on the management of complexity and prior knowledge. The paper draws on Cognitive Load Theory to provide a theoretical framework. The MKM measures the element interactivity of elements to be learned in a mathematics’ given didactic sequence, as an indicator of complexity; and identifies the elements of knowledge required for learning new knowledge. The paper argues that the management of prior knowledge is critical to element interactivity and, hence, to the effective teaching and learning of mathematics, and suggests that the MKM can help identify and manage problem areas.