ISSUES IN DIDACTIC OF MATHEMATICS: PROBLEM SOLVING
| Title | ΘΕΜΑΤΑ ΔΙΔΑΚΤΙΚΗΣ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ: ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΟΣ / ISSUES IN DIDACTIC OF MATHEMATICS: PROBLEM SOLVING |
| Code | Ε-38 |
| Faculty | Education |
| School | Primary Education |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Ioannis Papadopoulos |
| Common | No |
| Status | Inactive |
| Course ID | 80003934 |
| Academic Year | 2017 – 2018 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600112814
|
Class Schedule
| Building | Παιδαγωγική Σχολή (Πύργος) |
| Floor | Όροφος 1 |
| Hall | ΑΙΘΟΥΣΑ ΜΕΓΑΛΗ 1ου ΟΡ. (177) |
| Calendar | Martedì 18:00 to 21:00 |
Course Type 2016-2020
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600112814
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=2523
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
The students will be familiar with mathematical problem solving as this has been established by Polya. They will be able to choose and apply problem solving techniques, to state conjectures, check them, to develop mathematical reasoning skills, to create and pose their own problems.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
Course Content (Syllabus)
What is problem. Categorization of problems. exercises vs problems. Closed vs open-ended problems. Polya's four steps. Problem solving heuristics. Mental argumentation. Mathematical modeling. Mathematical reasoning - proof. Experimentation in problem solving. The issue of control in problem solving. Problem Posing.
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 60 | 2 | ✓ | ||
| Reading Assigment | 30 | 1 | ✓ | ||
| Field trips and participation in conferences / seminars / activities | 30 | 1 | ✓ | ||
| Written assigments | 30 | 1 | ✓ | ✓ | |
| Total | 150 | 5 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Summative)
Bibliography
Course Bibliography (Eudoxus)
Επίλυση Προβλήματος στα Μαθηματικά (Γ. Μαμωνά-Downs & I. Παπαδόπουλος), Πανεπιστημιακές Εκδόσεις Κρήτης,
2017, Ηράκλειο. ISBN: 978-960-524-483-5
Additional bibliography for study
1. Polya, G. (1945). How to solve it. Princeton University Press.
2. Polya, G. (1981). Mathematical Discovery: on understanding, learning, and teaching problem solving. Academic Press: New York.
3. Zeits, P. (1999). The art and craft of problem solving. New York: John Wiley
4. Brown, S. & Walter, M. (2005). The Art of Problem Posing, Hillsdale, NJ: L. Erlbaum Associates.
Last Update
29-06-2017
