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Syllabus for

Academic year
MVE365 - Problem solving and education  
Problemlösning och lärande
Syllabus adopted 2021-02-26 by Head of Programme (or corresponding)
Owner: MPLOL
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Main field of study: Technology and Learning

Teaching language: Swedish
Application code: 40124
Open for exchange students: No
Maximum participants: 35
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0111 Examination 7,5 c Grading: TH   7,5 c   15 Mar 2022 am J,  10 Jun 2022 am J,  23 Aug 2022 pm J

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General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites



Knowledge about problem solving and how problem solving can be used for learning.

Learning outcomes (after completion of the course the student should be able to)

  • discuss and practice structured and creative problem solving;
  • discuss problem solving as means of learning and as means of increasing the interest;
  • discuss and motivate the choice of strategy for problem solving;
  •  vary known and formulate new problems taking into account mathematical and didactical aspects;
  • discuss how to characterize students with specific talent for
    mathematics; choose appropriate activities for such students, such as an increased volume of problem solving;
  • the student should be familiar with the foundations of geometry and of its history; 
  • find mistakes and deficiencies in logical arguments:
  • use computer methods to experiment, to illustrate and to visualize geometrical notions
  • plan teaching sessions considering e.g. individual vs group work,
    computations vs understanding of notions, concrete vs abstract,
    instruction vs pupils working by themselves;


  • mathematical problem solving with focus on geometry
  • technical and scientific problem solving methods
  • programming as a tool for problem solving
  • how to coach problem solvers
  • how to teach about problem solving
  • strategies of problem solving


Lectures, presentations, seminars; labs in Python


Olof Hanner, Geometri
Lars-Åke Lindahl, Geometri
G. Polya, How to solve it?
A. S. Posamentier, S. Krulik: Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12
Courant & Robbins: What is Mathematics?
Problem i plan geometri (JM)

Examination including compulsory elements

Written paper. Presentations of group hand-outs. Ability to use GeoGebra (or similar software) on simple problems. Written paper on problems to be solved, and problems to be discussed regarding the choice of strategies and the possibility of variation.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.

Page manager Published: Mon 28 Nov 2016.