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Oikkonen, Juha; Hannula, Jani – LUMAT: International Journal on Math, Science and Technology Education, 2022
A rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…
Descriptors: Higher Education, Teaching Methods, Mathematics Instruction, Secondary Education
Hannula, Jani – LUMAT: International Journal on Math, Science and Technology Education, 2019
One major issue in mathematics teacher education regards the role of university-level mathematics in teacher knowledge. In the context of a design-based research project, an advanced mathematics teacher education course aimed at strengthening the connections between university-level mathematics and school mathematics was developed. In this paper,…
Descriptors: Preservice Teachers, Mathematics Teachers, Problem Based Learning, College Mathematics