Mathematical reasoning in teachers' presentations

• This paper presents a study of the opportunities presented to students that allow them to learn different types of mathematical reasoning during teachers’ ordinary task solving presentations. The characteristics of algorithmic and creative reasoning that are seen in the presentations are analyzed. We find that most task solutions are based on available algorithms, often without arguments that justify the reasoning, which may lead to rote learning. The students are given some opportunities to see aspects of creative reasoning, such as reflection and arguments that are anchored in the mathematical properties of the task components, but in relatively modest ways.

Ämnesord

SAMHÄLLSVETENSKAP  -- Utbildningsvetenskap -- Didaktik (hsv//swe)

SOCIAL SCIENCES  -- Educational Sciences -- Didactics (hsv//eng)

Nyckelord

rote learning

task solving

imitative and creative reasoning

teaching

Subject didactics

Ämnesdidaktik

matematikdidaktik

didactics of mathematics

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)