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 numbers and number sense. This involves, among other things, developing the number concept from integers to rational and real numbers, and associated strategies for numerical computations. Various aspects of fractionalization; the correlation between fractions, decimals, and percentages; and the connection with proportionality will be discussed. We will also work on prime numbers, divisibility, factorization. Argumentation and generalization will be emphazised throughout the course. Mathematics didactics will focus on a variety of views on the subject matter, as well as learning how to teach in ways that will develop your pupils’ understanding. Varied working methods will be applied.

Learning outcome

KNOWLEDGE

At the end of the term, the student

• has in-depth knowledge in topics that the students work with in grade 5-10 regarding number sense and computation by explaining, argu and exemplify the mathemacal content.
• can explain different forms of representations, especially regarding numbers, computation, and challenges associated with transitions between representations
• can explain central theories for learning in mathematics and the importance of productive mathematical discussions
• can explain the process regarding discovery in mathematics: experimentation, making hypotheses, reasoning and falsification, generalization, and how to facilitate such activities
• can explain different views and attitudes regarding mathematics in general
• can explain research based knowledge regarding argumentation and proofs, especially related to numerals
• can explain the historical development of mathematics, especially the development of number concepts and number systems
• can explain concepts related to programming, such as variables, loops and condition

SKILLS

At the end of the term, the student

• can analyze communication in mathematics based on theory
• make lesson plans that promote the students' wonder and creativity, and can work systematically with exploratory activities, justification, and argumentation through productive mathematical discussions
• can analyzing students' ways of thinking, argumentation, and strategies
• can use a variety of methods based on theory and experience, including selection, assessment, and the design of tasks and activities
• can use block based visual programming

GENERAL COMPETENCE

At the end of the term, the student

• can explain the importance of mathematics as general education, and its interaction with cultural, philosophical, and social development
• can give an account of the importance of mathematics regarding participation in a democratic society

Learning methods and activities

The teaching methods contain in-class lessons, individual and collaborative work with assignments, in-class discussions, and some oral and written presentations. The process of discovery and learning should promote the 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