An apology of a mathematics educator. Ioanna Mamona -Downs Department of Mathematics University of Patras Greece. We should search for ways to bring students to abstraction (T. Eisenberg). Mathematicians can expect from educators : Explain to students the need for abstraction.
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Department of Mathematics
University of Patras
Mathematicians can expect from educators:
Educators can expect from mathematicians:
- The known dichotomy: semantic/syntactic
- Fast and deliberate thinkers.
- Difficult for students to understand and to pass exams.
- More than one lecturers share the teaching.
- Resistance in having a common exam paper.
- Attracts some of the very best students
A Master program in Mathematics Education at a mathematics department :
An opportunity for mathematicians to have a hand on prospective teachers development.
- How does this differ from the undergraduate course?
-Deeper analysis for some topics so that teachers are aware of the ‘jumps’ occurring whilst transition from school to university.
- A reading course: comparing and making essays on various educational frameworks.
Issues of Collaboration
- Pursue regular communication with lecturers
- Mathematicians ask advice on a particular didactical point, leading to conducting fieldwork.
- The above might help to regulate the direction and style of the ‘discipline’ at tertiary level.
What qualifies a good lecturer?
“ I have observed, not only with other people but also with myself… that sources of insight can be clogged by automatisms. One finally masters an activity so perfectly that the question of how and why [students don’t understand them] is not asked anymore, cannot be asked anymore and is not even understood anymore as a meaningful and relevant question”.
Freudenthal (1983), p. 469.