Course content

In this course students will work with mathematics didactics and mathematics subjects that are important to anyone who is going to teach mathematics in grade 5-10, with special emphasis on geometry. This involves, among other things, working with measurement and computation, as well as classical geometry with constructions and transformations. Ruler and compass is used, in addition to interactive geometry software (IGS) and programming. One will also consider different forms of proof and argumentation, and the process of mathematical discovery. A central part of this work is the role played by communication in the classroom.

Learning outcome

KNOWLEDGE

The student

• has in-depth knowledge in topics that the students work with in grade 5-10 regarding different aspects of geometry, connected to measurement and computations, analytical geometry and transformation geometry
• has insight in the use of various teaching tools, digital and others, and the possibilities and limitations such tools offer
• has knowledge of a wide range of methods for teaching geometry has knowledge about expressing mathematics in speech and in writing, reading mathematics and using digital tools in mathematics
• has knowledge about the mathematical process of discovery: experimentation, forming hypotheses, justification and falsification, generalization, and about facilitating for students to take part in this
• has knowledge about theories for learning, and about the connection between view of learning, view of the subject and view of knowledge
• has knowledge about common patterns of interaction and communication related to teaching of mathematics
• has knowledge about the importance of different forms of representation in mathematics, especially within geometry, and the challenges related to transitions between representations
• has beginning knowledge about research methods in mathematics didactics and ethics related to research involving students

SKILLS

The student

• can plan, carry out and assess mathematics teaching for all students in grades 5 to 10, with focus on variation and student activity, grounded in theory and practice'
• has good practical skills in spoken and written communication in mathematics, and competence in helping students obtain these skills
• can use working methods that develop students' wonder, creativity and ability to work systematically with exploratory activities, justifications, arguments and proofs
• can assess students' learning in mathematics and use it as a basis in facilitating adapted teaching
• can communicate with students, individually and in groups, listen to, assess and make use of ideas from the students, and institutionalize knowledge
• can analyze and assess students' ways of thinking, argumentation and solution methods

GENERAL COMPETENCE

The student

• has knowledge about the role of mathematics as general knowledge and its interaction with culture, philosophy and development of society
• has knowledge about the role of mathematics within other subjects and in society
• has knowledge about the role of mathematics for participation in a democratic society

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

• Obligatory course work according to course description

Specific conditions

Course materials

The reading list will be published on Blackboard.

Credit reductions