Didactical Perspectives on Early Mathematics

Dette emnet gir en dypere forståelse av matematikkdidaktiske perspektiver og diskuterer hvordan utforskende undervisning kan bidra til tilpasset opplæring. Videre vil ulike tilnærminger til design av matematikkoppgaver og utforming av undervisning diskuteres. Studentene vil ved hjelp av teori og praksis videreutvikle sin evne til å gjøre begrunnede valg med tanke på å organisere elevers muligheter for læring av matematikk. Det legges vekt på hvordan kunnskap kan utvikles og deles i et læringsfellesskap.

De underliggende matematiske temaene i dette emnet vil være multiplikasjon, divisjon og brøk. Det vil legges stor vekt på begrepsmessig forståelse innen de ulike temaene.

Knowledge

The student has

• in-depth knowledge of mathematical learning and development processes and of how to facilitate active student participation in these processes

• in-depth knowledge of how basic skills help in the development of mathematical competence
• knowledge of different representations, and the effects the use of representations can have on pupils' learning
• knowledge for teaching mathematics in early years, specially regarding multiplication, division and fractions

Skills

The student can

• analyse and evaluate the pupils' ways of thinking, argumentation, and problem-solving methods from different perspectives on knowledge and learning

• plan, carry out, and evaluate mathematic teaching for all pupils' in grades 1-7 with a focus on exploration and pupil activity
• use the work methods that promote the pupils' wonder, creativity, and ability to work systematically with exploratory activities, justifications, argumentations, and proofs
• use relevant research methods in mathematic didactics in ethically justifiable ways.

General competence

The student has

• insight into the significance mathematics has as a generally educative subject and its interplay with culture, philosophy, and social development
• insight into the significance mathematics has for development of critical democratic competence

During classes, varied working methods will be used: lectures - reviews of examples and tasks - workshops and learning station teaching - individual work on tasks, episodes, and cases from teacher practice - problem solving - presentations for other students. The subject will engage students in scientific work forms; inquiry-based learning processes will promote the students' independence, analytical skills, and critical reflection.