Course content

In this course, students will study mathematics didactics and mathematical topics that are important for everyone who will teach mathematics in grades 5-10, with special emphasis on algebra and algebraic reasoning. This involves working with generalization, equations, functions and analysis, different forms of representations and the transition between representations, and basic mathematical models. The student will also study mathematical learning difficulties and assessment.

Learning outcome

KNOWLEDGE

The student

• has knowledge in mathematical analysis, which includes derivation, integration and simple mathematical models,
• and can relate these concepts to the mathematical content in grade 5-10
• has in-depth knowledge of the mathematics the students work with in grade 5-10 - has knowledge of different approaches regarding equations
• has knowledge of different representations and the significance the use of transitions between representations have regarding students' learning
• has knowledge of generalization and algebraification
• has knowledge of various digital tools, including CAS, and how these can be implemented in teaching activities
• has knowledge regarding various teaching tools, digital and others, and the possibilities and limitations such tools offer
• has knowledge of central theories about mathematical learning difficulties
• has knowledge of various tools for mapping mathematical learning difficulties
• has knowledge of the assessment's significance for learning, and the connection between assessment and learning
• can analyze and evaluate students' argumentation and strategies using different perspectives on knowledge and learning.
• has knowledge of functions and data stuctures in programming

SKILLS

The student

• can use spreadsheets and CAS in their teaching
• can use different kinds of assessment
• can assess students' learning in a subject and use it as a basis in facilitating lessons and adapted teaching
• can work with relevant tools for mapping general understanding in mathematics, and use these to adapt the teaching
• can assess the students' achievement with and without grades, and justify the assessments.

GENERAL COMPETENCE

The student

• can participate and contribute in local development work related to mathematics teaching

Learning methods and activities

The work will consist of lectures, work with assignments, individually and in groups, discussions and student presentations. Exploratory learning processes should promote students' independence, analytical skills and critical reflection.

Compulsory assignments

• d

Specific conditions

Course materials

The syllabus is posted on Blackboard before the start of the semester. It can also be found on "Innsida", NTNU's homepage.

Credit reductions