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Syllabus for

Academic year
MVE365 - Problem solving and education
Syllabus adopted 2015-02-11 by Head of Programme (or corresponding)
Owner: MPLOL
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Technology and Learning

Teaching language: Swedish

Course 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 2016 am M,  08 Apr 2016 am M,  23 Aug 2016 pm SB

In programs



Bitr professor  Jana Madjarova

  Go to Course Homepage


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

The course Scientific and educational questions in mathematics



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)

  • plan teaching sessions considering e.g. individual vs group work, computations vs understanding of notions, concrete vs abstract, instruction vs pupils working by themselves;

  • discuss didactical, practical and technical possibilities; 
  • discuss and practice structured and creative problem solving;
  • discuss and motivate the choice of strategy for problem solving;
  •  discuss and be able to characterize students with specific talent for mathematics; choose appropriate activities for such students;
  •  formulate problems regarding mathematical and didactical aspects;
  •  the student should be familiar with the foundations of geometry and of its history;  
  • use computer methods to experiment, illustrate and visualize geometrical notions


Geometry has a long and interesting history, closely connected to the history of society and culture. This can be used to awaken interest in mathematics. It is suitable for computer illustrations. It is also highly suitable for the study of problem solving, the strategies of problem solving, and of the nature of mathematical proofs.
  • use of problems as means of learning;
  • foundations of geometry and its history from the antique to the present;
  • the process of problem solving;
  • discussions about and practical problem formulation;
  • the aspects and role of mathematical arguments;
  • tests and assessment;
  • students with specific talent and abilities in the field of mathematics;
  • use of computers and software.


Lectures, discussions of group work; labs in GeoGebra; other forms may occur


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)


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.

Page manager Published: Thu 03 Nov 2022.