A calculus course in knowledge feedback format

Authors

  • Håkan Lennerstad Dept of Mathematics and Science Blekinge Institute of Technology S-37179 Karlskrona SWEDEN

DOI:

https://doi.org/10.21100/msor.v17i1.492

Keywords:

learning, dialogue, quiz, diagnostic, course design

Abstract

This paper presents a design of an undergraduate calculus course which attempts to achieve higher student activity and teacher-student exchange, allowing the teacher to adapt more to the present student group and to increase students work time. This is done by switching between examinations in small format and examination-free, open mathematical dialogue occasions – two learning-enhancing opposites that reinforce each other during the course. In the examination-free dialogue, students solved problems during lectures every week, where the quality of the student-teacher dialogue is essential both for dissection of properties of mathematics and for students’ willingness to continue participating. Thus, students regularly practiced verbal presentation and reflection in mathematics.

Author Biography

Håkan Lennerstad, Dept of Mathematics and Science Blekinge Institute of Technology S-37179 Karlskrona SWEDEN

Professor of mathematics

References

Ernest, P. (1994). The Dialogic Nature of Mathematics. In P. Ernest, ed. Mathematics, Education and Philosophy . London: Falmer Press, pp 33-48.

Kindberg T. (2013). The Significance of Emulation in the Oral Interaction Between Teacher and Students. Journal of Philosophy of Education, 47(1), pp 99-111.

Lennerstad, H. (2008). Spectrums of knowledge types – mathematics, mathematics education and praxis knowledge. Proceedings of the MADIF6, Stockholm.

Rowland, T. (2000). The pragmatics of mathematics education, vagueness in mathematics discourse, London: Falmer Press.

Shön, D. (1983). The Reflective Practioner: How professionals think in action, London: Temple Smith.

Wittman, E. Ch. (1995). Mathematics education as a ’design science’. Educational Studies in Mathematics 29(4), pp 355-374.

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Published

2018-10-18