Course Details

Course Information Package

Course Unit TitleBASIC MATHEMATICAL CONCEPTS IN PRIMARY EDUCATION II
Course Unit CodeMAT200
Course Unit Details
Number of ECTS credits allocated4
Learning Outcomes of the course unitBy the end of the course, the students should be able to:
  1. List and explain the basic rules of historical arithmetical systems.
  2. Explain the use of zero at the historical arithmetical systems and analyze its relation with students’ difficulties on the place value.
  3. Solve mathematical problems by using the Pascal’s triangle.
  4. Solve problems by using the basic rules of mathematical logic.
  5. Compare different mathematical solutions by studying number theory.
  6. Find the solutions of non-routine mathematical problems and pose creative problems.
Mode of DeliveryFace-to-face
PrerequisitesNONECo-requisitesNONE
Recommended optional program componentsNONE
Course Contents-  The arithmetical systems:  Babylonian, Egyptian, Romaic. The concept of zero and its difficulties. The algorithms for the mathematical operations and the place value. Pupils’ difficulties for the construction of basic mathematical concepts.
-  Mathematical logic. Basic rules and problem solving. Specific epistemological obstacles and its impact on the teaching of mathematics.
-  The theory of sets and the teaching of numbers. The basic mathematical operations at primary education.
-  Mathematical relations, the concept of patterns and the Pascal’s triangle.
-  The concept of probability and the teaching of probability at primary education.
-  Problem solving and different problem solving strategies.
Recommended and/or required reading:
Textbooks
  • Φιλίππου, Γ. (2003). Εισαγωγή στις βάσεις και βασικές έννοιες των μαθηματικών. Αθήνα: Ατραπός
References
  • Zaccaro, E. (2001). Real World Algebra – Understanding the power of mathematics.
  • Solomonovich, M. (2010). Euclidean Geometry: A first course. New York: iUniverse.
Planned learning activities and teaching methodsThe 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.
 
Assessment methods and criteria
Tests60%
Final Exam40%
Language of instructionGreek
Work placement(s)NO

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