MA-219 Geometry, functions and didactics in teacher education (Autumn 2026)
- ECTS Credits:
- 30
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Peder Kristian Knutson
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian
- Duration:
- ½ year
Table of contents
The course is connected to the following study programs
Teaching language
Prerequisites
Learning outcomes
KNOWLEDGE
After completing the course, the student has knowledge
- of euclidean geometry; Basic assumptions, key theorems and evidence and applications
- about functional learning; Elementary functions, as well as basic derivation and integration, with emphasis on modeling and applications
- About digital tools, including dynamic mathematics programs, in the work of geometry and functions
- Mathematical didactic research related to some selected topics; Both with regard to methods, results and custom training
SKILLS
After completing the course, the student can
- give students good examples, good explanations and good guidance related to mathematical concepts, calculations and exploration assignments in steps 5-10 with a thorough knowledge of geometry and functional theory
- plan and analyze teaching situations with emphasis on mathematical argumentation, both with and without the use of digital aids, and adapted to different student needs
- plan, use and reflect didactically on the use of different learning materials, including the use of dynamic mathematics programs, in mathematics education
- formulate a problem, plan and complete field work, write and present a mathematics didactic R & D task based on practical experience and with support in critical use of mathematics didactic literature
GENERAL COMPETENCE
After completing the course, the student can
- reflect on learning and teaching challenges and the use of teaching materials, by draws on in-depth knowledge in mathematics, didactic research and general pedagogy
Contents
Professional specialization in functional theory and geometry, with emphasis on argumentation and logical structure of the subject areas - but also exploration, with and without digital aids. Use of dynamic mathematics program, currently GeoGebra. Didactics with emphasis on knowledge of mathematics didactic research, and own R & D task related to practice.
The subject in practiceThe teacher as both mathematician and didactician. Exercise skills as described above in the learning outcomes. R & D work related to own teaching in practice: Problem, data collection, reflection based on mathematics didactic literature, report writing and dissemination.
Teaching and learning methods
Examination requirements
Examinations
Part-examination 1: 6-hour written exam in geometry. Graded assessment. Counts 1/3 of the total score.
Part-examination 2: 6-hour written exam in functional theory. Graded assessment. Counts 1/3 of the total score.
Part-examination 3: Oral exam; Partly linked to the R & D task and partly linked to the didactic topics that have been addressed. Graded assessment. Counts 1/3 of the total score.
Student evaluation
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
| Course | Reduction of Credits |
|---|---|
| MA-148 – Mathematics 2: Geometry (Grades 5-10). | 10 |
| MA-149 – Mathematics 2: Statistics and Research in Mathematics Education (Grades 5-10). | 10 |
| MA-147 – Mathematics 1: Calculus (Grades 5-10). | 10 |