e-Mathematics Engineering for Effective Learning

Education in digital age requires a strong focus on “engineering of learning”, as an emergent field of study and design of effective innovative learning experiences and environments. In this respect, the chapter addresses mathematics education in e-learning settings according to a tetrahedron model, as extension of the classical didactical triangle, to which adds a fourth vertex: the ‘author’ (A). The introduction of the vertex Author is due to our view that full exploitation of e-environment and its integration with results from research in mathematics education requires properly designed didactical interventions, based on a scientific approach, such as Didactic Engineering. Moreover, such exploitation should consider the centrality of the student, which means that the vertex-positions of the tetrahedron can be assumed also by the student along the learning process. We discuss the didactic engineering work from the perspectives of the tetrahedron faces and taking into account the dynamicity of the vertex-positions.