Syllabus
Attention will be placed on various modes of representation and their transformations, possibilities of expressing part-whole relation, the role of pre-concepts, possibilities of the interpretation of fractions, problem posing and its importance as an educational and diagnostic tool, identification of typical mistakes, their sources and reeducation.
Annotation
The question of part-whole relation is connected to different mathematical structures. It plays an important role in the concept development process.
Basic concepts of elementary mathematics (the notion of natural number and rational number and also geometric concepts) are connected to the creation and division of wholes. The course is aimed for PhD students who graduated from teaching at the elementary school.