Syllabus
1. From manipulation to imagination. Transfer of representations from physical models through pictures, icons, symbols to images.
2. Teaching arithmetic and geometry from the point of view of a) objects, b) tools a c) educational strategies. Historical view.
3. Organisation of the set of phenomena and of processes. Mainly classification, schematisation, hierarchisation.
4. Direct and dialogue educational strategy. Transmission and constructivist teaching style.
5. Mistake as a didactic phenomenon. Pupils' mistakes, teachers' mistakes.
6. Individualisation. Its two dimensions. Vygotsky's zone of proximal development.
Annotation
Continuation of the course of Didactics of mathematics with teaching practice is focused on deep theoretical and also practical preparation of future primary school teachers. In this course we will focus on interlinking of different fields of mathematics in socalled cross topics like equations, data handling.
We will also interlink the students´ knowledge and experience from their study of pedagogical and psychological disciplines with didactic of mathematics.