6803.22 - Mathematics - Elementary Level I - Numbers and algebra from an educational perspective.

Course number
Mathematics - Elementary Level I - Numbers and algebra from an educational perspective.
Students must be enrolled at NÁD as preservice teachers.
To prepare the students to teach mathematics in grades 1-6, focusing in particular on numbers, arithmetic and algebra. The students should develop a clear understanding of the mathematical content in Faroese primary school. In addition, the students should acquire research-based knowledge on how teaching can be planned and completed in relation to this content in order to support pupils’ development, while taking into account pupils’ varying cognitive and social preconditions.
The mathematical content is treated and analyzed in relation to mathematics education in grades 1-6. The content includes numbers, arithmetic and algebra: • Pupils’ understanding of numbers in the first grades, including development of algorithms within arithmetic. • Number patterns, generalizations and algebra in early years. • Problem-solving and mathematical modelling. • Curriculum for mathematics in grades 1-6. • Teaching material, methods and evaluation of mathematics teaching.
Learning and teaching approaches
Groupwork, class assignments, lectures, self-study, home assignments, presentations and classroom discussions.
Learning outcomes
At the end of the course, the students should be able to: • Explain mathematical content within numbers, arithmetic and algebra in grades 1-6 in the Faroese primary school. • Solve tasks that are suitable for pupils in grades 1-6- including modeling and problem-solving tasks. • Show examples of investigative and deductive methods in mathematics teaching. • Reflect and contemplate on research related to development of understanding of numbers and methods in arithmetic and algebra. • Explain and justify how a teacher can prepare, complete and evaluate inspirational and substantial mathematics teaching, with reference to mathematics education theory.
Assessment method
The assessment is in two parts: 1) Throughout the course, students are required to hand in several assignments such as overview papers, presentations, and written tests. These assignments must be passed in order to be eligible for the end of the course exam. 2) By the end of the course, the students must hand in a synopsis, written in groups of 2 – 3 students. The synopsis is then defended orally. Students are graded individually, and the grade is pass/fail.
Marking scale
Choice of texts and other materials will be provided before the commencement of the course.
Søren Antoft