NFKA09006U Advanced Didactics of Mathematics (DidMatV)
The course has two parts: a theoretical part and a smaller, practice oriented project. The aim of the theoretical part is to introduce the students to a selection of current didactical theories and methods, including approaches to
- The theory of didactical situations in mathematics
- Cognitive and semiotic asepcts of mathematics learning
- The anthropological theory of didactics
- The theory of instrumental genesis (concerning IT use in mathematics education) The practice oriented project allows the student to apply one or more of the theoretical perspectives to an in-depth study of a self-chosen problem about mathematics teaching at (typically) secondary level.
Knowledge. At the end of the course, the student should know the meaning of and relations among a selection of fundamental methods and notions in the didactics of mathematics, including: a priori and a posteriori analysis, didactic situations, adidaktic situations, objective and subjective didactic milieu, didactic constracts and their levels, fundamental situations, external and internal transposition, praxeologies, mathematical og didactic organisations, levels of didactic co-determination, study- and research courses, semiotic representations of mathematical objects, semiotic registers, instrumentation and instrumentalisation. The student must be familiar with research results based on and contributing to these theoretical constructions.
Skills. At the end of the course, the student should have basic skills in analysing a mathematical topic in view of design and observation of teaching situations, and in identifying and selecting relevant research literature to be used in the analysis. The student must also be able to produce focused and structured text on topics from the didactics of mathematics using elementary scientific method.
Competences. At the end of the course, the
student should be able to
- work autonomously with fundamental topics in mathematics, using
pertinent theory from the didactics of mathematics
- explain the domains of use, relations and differences between the
theories introduced in the course, discuss others’ use of the
theories, and relate critically to specific choices of theoretical
perspective
- identify and analyse a problem related to mathematics as a taught
discipline, and give it a precise formulation in a relevant
theoretical framework from the didactics of mathematics
- carry out a theoretically and methodically well founded
investigation of such a problem within didactics of
mathematics.
Compendium of newer scientific papers (all in English).
- Category
- Hours
- Guidance
- 2
- Lectures
- 14
- Practical exercises
- 6
- Preparation
- 94
- Project work
- 75
- Theory exercises
- 15
- Total
- 206
Can also be chosen by PhD students
As
an exchange, guest and credit student - click here!
Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Written assignmentFinal paper: work begins in the 6th week of the block, delivery in week 9.
- Exam registration requirements
- Two oral and one written task in the first part of the course.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
Criteria for exam assesment
The grade is given for the extent to which the student in his final paper has demonstrated to have achieved the course aims (cf. above).
Course information
- Language
- English
- Course code
- NFKA09006U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- C (Mon 13-17 + Wednes 8-17)
- Course capacity
- 30
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Science Education
Course responsibles
- Carl Winsløw (7-8072777c7578804972776d37747e376d74)