Teaching of Mathematics (MAE503)

Από Wiki Τμήματος Μαθηματικών



School of Science

Academic Unit

Department of Mathematics

Level of Studies


Course Code

MAE503 (also MAE602)


5 (also 6)

Course Title

Teaching of Mathematics

Independent Teaching Activities

Lectures (Weekly Teaching Hours: 3, Credits: 6)

Course Type

General Background

Prerequisite Courses -
Language of Instruction and Examinations


Is the Course Offered to Erasmus Students -
Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes -
General Competences
  • Working independently
  • Team work
  • Project planning and management
  • Respect for difference and multiculturalism
  • Showing social, professional and ethical responsibility and sensitivity to gender issues
  • Criticism and self-criticism
  • Production of free, creative and inductive thinking


Education and its scopes. Elements of the History of Mathematics and evolution of Mathematics Education. Genaral scopes of Mathematics Education. Philosophy and learning of Mathematics. Models and methods in the teaching of Mathematics. The teaching of mathematical notions: analysis, algebra, geometry. Planning, preparation, presentation, evaluation. Teaching outcomes: conclusions and aspects. The structure of Mathematics Education in the secondary level. Mathematical journals and competitions.

Teaching and Learning Methods - Evaluation


Face to face

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures (13X3) 39
Study of literature 36
Presentations 25
Individual work 25
Team work 25
Course total 150
Student Performance Evaluation

Public presentation, written work, essay/report, semester examination.

Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

  • ΜΠΑΜΠΗΣ ΤΟΥΜΑΣΗΣ, Σύγχρονη Διδακτική των Μαθηματικών, Gutenberg, Αθήνα1999
  • ΑΘΑΝΑΣΙΟΣ ΓΑΓΑΤΣΗΣ, Θέματα Διδακτικής των Μαθηματικών, Εκδόσεις Κυριακίδη, Θεσσαλονίκη 1993
  • MORRIS KLEIN, Γιατί δεν μπορεί να κάνει πρόσθεση ο Γιάννης, Εκδόσεις Βάνιας, Θεσσαλονίκη 1993
  • G. POLYA, How to solve it?, Princeton University Press, 1999
  • PIERRE VAN HIELE, Structure and Insight: A Theory of Mathematics Education, Academic Press, 1986
  • SUE JOHNSTON-WILDER, PETER JOHNSTON-WILDER, DAVID PIMM, CLARE LEE, Learning to Teach Mathematics in the Secondary School, 3 rd Edition, Routledge, 2011