Un estudio sobre el papel de las definiciones y las demostraciones en cursos preuniversitarios de cálculos diferencial e integral

by Calvo Pesce, Cecilia

The main aims of this research activity are: to characterise the transition period between teaching Mathematics at elemental level and teaching Mathematics at advanced level, and to look for activities that help students to exploit and to take adventage of this period. In relation to the first aim we identify some transition periods characteristics: Institutional level: changes in the Didactic Contract and in the Didactic Transposition process Cogntive level: changes in the relation between the student and the algorithms, the visual information an the encapsulation processes Epistemological level: an increment in the importance of mathematical proofs and definitions in the classroom In relation to the second aim and taking into account the characterisation mentioned before and previous experimental data, we design an interview centred in three visual proofs about approximation