MA-440 Problem Based Mathematics Education (Autumn 2025)

On successful completion of the course, the student

• has knowledge of problem solving and exploration as a method of teaching mathematics and is able to communicate his/her work with emphasis on both process and product
• has knowledge of modelling and applications as a method of teaching mathematics and is able to communicate his/her work with emphasis on both process and product
• conveys a reflective attitude towards own mathematical thinking
• can design and analyse tasks and assignments for pupils from 1 to 7th grade in school that can enhance ability to solve problems and explore mathematics
• can design and analyse tasks and assignments for pupils from 1 to 7th grade in school that can enhance ability to modelling and explore applications
• can reflect upon problem solving activities with respect to the curriculum and core elements in mathematics
• can reflect upon problem modelling activities with respect to the curriculum and core elements in mathematics

The course is problem-based and provides and introduction to problem solving, exploration and modelling and applications as work methods in mathematics. In the course, the students themselves work with different methods, and they shall reflect and analyse how different methods can be organized for the use of work-methods in the school`s mathematics education, related to the current curriculum for 1 to 7th grade. The course includes self-reflection and discussion of literature. Work is carried out on design, wording and adaptation of tasks in problem solving and modelling. Work is also carried out on key concepts in mathematical thinking, training in process description, communication of methods of thinking and solutions in mathematical problems solving and modelling. The course enables self-reflection throughout the semester by writing a portfolio. It includes student presentation of assignments from the portfolio.

The subject in practice During the 5 days in teaching practice, it will be arranged for the student to gain experience with the use of various teaching resources in mathematics and student-active teaching methods.

Joint teaching, work in small groups, compulsory assignments, oral presentations. Digital software is used where appropriate.

Mandatory work requirements that can be completed either by physical participation or by submissions. Attendance is not mandatory, but highly recommended. Further details about the assignments will be provided at the start of the semester.

The course has an expected scope of work of 267 hours.

It is included 5 days practice for the teacher education students. This is a preparation for the teaching practice in the 8th semester. Other students will perform a didactic work of similar scope as practice.

The teacher education students

• approved mandatory assignments
• approved portfolio collection of mathematical tasks (see Canvas for more information)
• approved practice

Other students

• approved mandatory assignments
• approved portfolio collection of mathematical tasks (see Canvas for more information)
• approved didactic work of similar scope as practice

A portfolio (counts for 50%) and oral individual exam (counts for 50%). Graded assessment.

Information about the content of the portfolio will be given in Canvas by the start of the semester. There will not be arranged a postponed exam for the portfolio.