| Area of Mathematics: | Didactics (ED) | ||
| Semester: | 8o | ||
| Course ID: | 82601 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: | |||
Description
The aim of the course is the study of special topics of Mathematics Education that are selected in consultation with the students. An important element of the course is the active participation of students through presentations. Indicative topics are the following:
- Integration of the History of Mathematics in teaching. Analysis of specific teaching units with examples of the role of the History of Mathematics in their teaching.
- Didactics of Infinite Calculus: The role of definitions and the importance of visual representations in the teaching of Mathematics. Teaching concepts and theorems of Infinite Calculus. Topics related to the teaching and learning of the concept of limit, continuity, derivative and integral.
- Didactics of Geometry: The geometry and the perception of space. The development of geometric thinking and the importance of visualization. Learning and teaching basic geometric concepts. Geometric transformations as tools for exploring geometric properties and justifying. The measurement of geometric quantities (length, area, volume): basic processes and the role of tools. Geometric proof, students’ proofs and didactic approaches (structural and conceptual elements, basic proof idea, conjecture and proof). Utilization of handicrafts and digital tools in the teaching of geometry.
- Problem solving and mathematization: Heuristic strategies, beliefs and metacognition. Curricula and teaching objectives related to problem solving. Types of problems. Mathematical Modeling. Didactic management of teaching through problem solving: design and formulation of problems, introduction of the problem in the classroom, the autonomous work of the students, the discussion in the classroom, the assessment of the students. International assessment programs (PISA, TIMMS), problem solving in multicultural classrooms, problem solving and exploratory learning, etc.
Bibliography
Kilpatrick, J. (Ed.). Meaning in Mathematics Education. Springer, 2005.
Sierpinska, A. (1994). Understanding Mathematics. Falmer Press.
