Course Details

1. Use and explain the basic rules of the arithmetic operations and the place value.
2. Use different strategies for problem solving.
3. Pose appropriate mathematical problems by using the respective equations or representations.
4. Solve mathematical problems of proportional reasoning.
5. Explain and apply the basic geometrical concepts.
6. Present and justify the basic historical roots of the development of mathematical concepts in order to realize the mathematical continuity.
7. Construct simple mathematical proofs.

• The theory of sets and the teaching of numbers. The basic mathematical operations at primary education.
• The mathematical operations with integers and fractions.
• Criteria for divisibility.
• Ratio, analogies and proportional reasoning.
• Geometrical concepts of Euclidean geometry.
• Mathematical relations, the concept of patterns.
• Problem solving and different problem solving strategies.
• The Euclidean geometry and the non-Euclidean geometry, the Boole algebra and the mathematical logic.
• Mathematical proof. Justification and reasoning.

• Τριανταφυλλίδης, Τ. & Σδρόλιας, Κ. (2005). Βασικές μαθηματικές έννοιες για τον εκπαιδευτικό της πρωτοβάθμιας εκπαίδευσης. Τυπωθήτω

• Φιλίππου, Γ. (2003). Εισαγωγή στις βάσεις και βασικές έννοιες των μαθηματικών. Αθήνα: Ατραπός
• Zaccaro, E. (2006). Becoming a problem solving genius. A handbook of math strategies.
• Solomonovich, M. (2010). Euclidean Geometry: A first course. New York: iUniverse.

The taught part of course is delivered to the students by means of lectures, conducted with the help of computer presentations. Lecture notes and presentations are available through the web for students to use in combination with the textbooks. Many problems and exercises are provided to students for individual and group practical work.