Theoretical background of teaching mathematics
- Theoretical developments of the onto-semiotic approach in mathematics teaching, drawing on concepts such as the institutional and personal significance of mathematical objects, facets and levels of knowledge, mathematical practices, cognitive and didactic configurations, semiotic conflicts and teaching suitability, among others.
- Compared analyses of the onto-semiotic approach and other theoretical frameworks in mathematics teaching.
- Applications of the onto-semiotic approach to the study of text books. Design and assessment of educational experiences, assessment tasks and instruments, student difficulties, errors and semiotic conflicts, technology and teaching materials, teacher knowledge and training, attitudes.
- Research methods in mathematics teaching, with particular emphasis on methods relating to the onto-semiotic approach
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