Basic learning theories (behaviourism, cognitivism, constructivism and humanism) and learning theories in Mathematics. The role of learning theories in Mathematics Education.
Basic principles of the traditional education model and its inadequacies. New didactic models. Lesson plans.
The meaning of representation. Didactic transposition. Cognitive conflict, conceptual change. Levels/categories of students’ conceptions.
Basic terms in Mathematics Education. Dimensions, research topics. Mathematical activity. Mathematical modelling. Didactic situations. Teaching scenarios. Problematic situations.
Classroom management. The educational contract: Rules and paradoxes.
Psychological notions about Mathematics Education. Types of problems. Mathematical problem solving. Polya’s heuristics and Lakatos’ epistemology.