The students are also to acquire insights into
- the importance to explain geometry at school both by practical and theoretical models of explanation
- advantages and disadvantages with geometric models of explanations for understanding of fractions, percentage and algebra
- differences between learning in a school environment and in everyday life
- the significance of language and pictures to definitions and conceptualisation
- the practical applicability of geometry as a starting-point for problem solving and conceptualisation at compulsory school


CONTENTS
Selected theorems and evidence in Euclid's geometry. Constructions with a pair of compasses and a ruler. Depiction of similarity. Reflections. Proportionality and scale. Models of explanations for areas and volumes at compulsory school. Patterns. Problem solving and mathematical models at compulsory school. Mathematics in everyday life and society seen from a historic perspective.

TEACHING
Lectures, lessons, group assignments and writing of a paper.

EXAMINATION
Examination through hand-in assignments, active participation in class and a paper.
COURSE GRADE SCALE: fail/pass

ITEMS/CREDITS