Assigning difficulty level indicators to the knowledge units helps the learners plan their learning activities more efficiently. This paper focuses on how to use the topology of a knowledge map to compute and rank the difficulty levels of knowledge units. Firstly, the authors present the hierarchical structure and properties of the knowledge map.…

This paper proposes modelling based learning as a tool for learning and teaching mathematics. The example of modelling real world problems leading to the exponential function as the solution of differential equations is described, as well as the observations about students' activities during the process. The students were acquainted with the…

This article outlines a learning intervention which the authors call Learning by Design. The goal of this intervention is classroom and curriculum transformation, and the professional learning of teachers. The experiment involves the practical application of the learning theory to everyday classroom practice. Its ideas are grounded in pedagogical…