DIDACTIC OF MATHEMATICS: CONTEPORARY ASPECTS AND UTILISATION OF TEACHING RESOURCES
| Title | ΔΙΔΑΚΤΙΚΗ ΜΑΘΗΜΑΤΙΚΩΝ: ΣΥΓΧΡΟΝΕΣ ΟΨΕΙΣ ΤΗΣ ΚΑΙ ΑΞΙΟΠΟΙΗΣΗ ΔΙΔΑΚΤΙΚΩΝ ΠΟΡΩΝ / DIDACTIC OF MATHEMATICS: CONTEPORARY ASPECTS AND UTILISATION OF TEACHING RESOURCES |
| Code | ΥΜ16 |
| Faculty | Education |
| School | Primary Education |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Ioannis Papadopoulos |
| Common | No |
| Status | Active |
| Course ID | 600017602 |
Programme of Study: PPS Tmīmatos Dīmotikīs Ekpaídeusīs (2019-sīmera)
Registered students: 151
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 3 | 2 | 4 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors | |
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600183285
|
Class Schedule
| Building | |
| Floor | - |
| Hall | Εξ αποστάσεως (900) |
| Calendar | Δευτέρα 18:00 έως 21:00 |
Course Type 2021
Specific Foundation
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/1/600183285
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=2526
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
By the end of the course students will be able to:
• assess the level of geometrical thinking of their suture students examining the answers given to certain activities.
• know ways of using digital technologies to teach mathematics
• identify mistakes and misconceptions and how to exploit them in a positive manner in their teaching
• apply global heuristics in order to solve and pose problems
• combine the traditional teaching with resources relevant to the history of mathematics
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Work in teams
- Generate new research ideas
- Appreciate diversity and multiculturality
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Selected topics concerning the teaching of mathematics are examnied in this course aiming to highlight the range of didactic of mathematics as well as to familiarize the students with teaching resources they might use in classroom. The list of the topics includes:
1. The van Hiele levels of geometrical thinking
2. The usage and exploitation of ICT for teaching purposes
3. The meaning kai utilisation of mathematical errors and misconceptions
4. The equality sign and its understanding
5. Using puzzles from arithmetic to algebraic thinking
6. Problem solving
7. Using history of mathematics in mathematics reaching
Keywords
teaching mathematics, primary school education, teaching methods in mathematics
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Description
ICT is used (a) for presenting the content of the course, and (b) for acquiring certain skills in relation to certain software used for teaching mathematics. The whole material is accessible through the e-learning platform. E-learning is also used for communicating with the students who attend the course
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 78 | 2.6 | ✓ | ||
| Reading Assigment | 23 | 0.8 | ✓ | ||
| Field trips and participation in conferences / seminars / activities | 8 | 0.3 | ✓ | ||
| Written assigments | 8 | 0.3 | ✓ | ✓ | |
| Exams | 3 | 0.1 | ✓ | ||
| Total | 120 | 4 |
Student Assessment
Description
The students’ evaluation is summative through written exams. They are asked to complete multiple choice questions, answer questions with short answers and solve problems. They know the way and criteria of the exam through both the lectures and the website of the course. Oral exams only in case some students cannot participate to the written exams due to health problems
Student Assessment methods
- Written Exam with Short Answer Questions (Summative)
- Written Exam with Extended Answer Questions (Summative)
- Oral Exams (Summative)
Bibliography
Course Bibliography (Eudoxus)
Κολέζα, Ε. (2009). Θεωρία και πράξη στη διδασκαλία των μαθηματικών. ΜΟΤΙΒΟ ΕΚΔΟΤΙΚΗ Α.Ε ISBN: 978-960-6863-16-5
Additional bibliography for study
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2007). Elementary and middle school
mathematics: Teaching developmentally.
Fuys, D., Geddes, D., & Tischler, R. (1988). The van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education. Monograph, i-196.
Way, J., & Beardon, T. (2003). ICT and primary mathematics. McGraw-Hill International.
Kennedy, L., Tipps, S., & Johnson, A. (2007). Guiding children's learning of mathematics.Cengage Learning.
Laborde, C. , Kynigos, C., Hollebrands, K., & Strässer, R. (2006). Teaching and learning
geometry with technology. Handbook of research on the psychology of mathematics
education: Past, present and future, 275-304.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. National Academies Press
Cockburn, A. D., & Littler, G. (Eds.). (2008). Mathematical misconceptions: A guide for primary teachers. Sage.
Cockburn, A. D. (2012). Teaching mathematics with insight: the identification, diagnosis andremediation of young children's mathematical errors. Routledge.
Koshy, V., Ernest, P., & Casey, R. (Eds.). (2000). Mathematics for primary teachers (pp. xiii+-225). London and New York: Routledge.
Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically. Portsmouth, NH:Heinemann.
Seife, C. (2000). Zero: The biography of a dangerous idea. Penguin.
Fauvel, J., Maanen, J. A., & van Maanen, J. A. (Eds.). (2000). History in mathematics education: An ICMI study (Vol. 6). Springer.
Burton, D. M. (1985). The history of mathematics: An introduction. AMC, 10, 12.
Katz, V. J. (Ed.). (2000). Using history to teach mathematics: An international perspective (Vol. 51). Cambridge University Press.
Συναφή επιστημονικά περιοδικά:
Educational Studies in Mathematics
Journal for Research in Mathematics Education
Journal of Mathematical Behavior
Mathematics Education Research Journal
Mathematical Thinking and Learning
International Journal of Mathematical Education in Science and Technology
International Journal of Science and Mathematics Education
Journal of Mathematics Teacher Education
Science & Education
Mediterranean Journal for Research in Mathematics Education
For the Learning of Mathematics
The International Journal for Technology in Mathematics Education
ZDM
Technology, Knowledge and learning
Last Update
10-10-2022
