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  1. NOMAD – 25(1), 2020

    Volume 25, No 1, March 2020

    e-NOMAD

    [PDF] displays the full text pdf. The two most recent volumes are password protected. Use ”Open access” in the menu for full text of older articles.

    Editorial

    Camilla Sjölander Nordin
    Avtryck i problemlösningsundervisning – en fenomenografisk studie
    [PDF]

    Raimundo Elicer
    Meanings of decision-making in probability and statistics: comparing Chilean and Danish upper secondary school curricula
    [PDF]

    Helge Fredriksen and Said Hadjerrouit
    Exploring engineering students’ participation in flipped mathematics classroom: a discursive approach
    [PDF]

    Anne Birgitte Fyhn og Håkon Robertsen
    Kystfiskermatematikk og skolematematikk: to ulike perspektiver på hva ei méd er
    [PDF]

    Jenny Svanteson Wester and Angelika Kullberg
    Understanding the relationship between length and area when changing the size of a two-dimensional geometric figure
    [PDF]

    Skapad: 2020-04-07 kl. 14:10

  2. NOMAD 25(1), 2020

    Understanding the relationship between length and area when changing the size of a two-dimensional geometric figure

    Jenny Svanteson Wester and Angelika Kullberg

    Abstract
    When scaling up or down two-dimensional geometric figures, students tend to believe that if the lengths are doubled, the area is doubled as well. Although a lot of effort has been made to study and overcome this illusion of linearity, previous research reports that the illusion often remains after teaching. We add to this research by studying students’ experiences of the relationship between change in length and change in area when enlarging or reducing two-dimensional geometric figures, identified in a learning study aimed at finding powerful ways of teaching scale to 14-year-old students. The aim of this study is to contribute to a deeper understanding of students’ experiences of the relationship and how it can be taught. Teaching the change in length and the change in area simultaneously was found to be one key to students’ learning.

    Jenny Svanteson Wester
    Jenny Svanteson Wester is a PhD student. Her research interest is teaching and learning in classrooms. She works as a mathematics teacher in secondary school.

    Angelika Kullberg
    Angelika Kullberg is an associate professor. Her research is foremost on the relationship between teaching and learning in the mathematics classroom.

    Skapad: 2020-04-07 kl. 14:08

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