Pre-service teachers’ explanations of division by zero and denseness of the number line

Kristina Juter

Pre-service teachers’ explanations of division by zero and denseness of the number line

Kristina Juter

Research output: Chapter in Book/Report › Chapter in book › peer-review

Abstract

Students’ beliefs about division by zero and numbers on the number line were studied through explanations of the concepts in questionnaires and interviews during their teacher education to become primary school teachers in the years 4–6. The concepts were chosen for students’ proven cognitive challenges in coping with them, with the aim to add to the existing knowledge in terms of specific and general explanation types. General and specific parts of the students’ concept images were contradictory in several cases and the examples used for explaining were often based on other mathematical structures than the ones explained, e.g. 2/1 instead of 2/0 or a finite decimal recitation instead of an infinite one.

Original language	English
Title of host publication	Sustainable mathematics education in a digitalized world
Subtitle of host publication	Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020
Editors	Y. Liljekvist, L. Björklund, J. Häggström, L. Mattsson, O. Olande, H. Palmér
Place of Publication	Göteborg
Publisher	Nationellt centrum för matematikutbildning (NCM)
Pages	260-260
ISBN (Print)	978-91-984024-4-5
Publication status	Published - 2021

Publication series

Name	Skrifter från Svensk förening för matematikdidaktisk forskning
Number	15
ISSN (Print)	1651-3274

Swedish Standard Keywords

Didactics (50302)

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Juter, K. (2021). Pre-service teachers’ explanations of division by zero and denseness of the number line. In Y. Liljekvist, L. Björklund, J. Häggström, L. Mattsson, O. Olande, & H. Palmér (Eds.), Sustainable mathematics education in a digitalized world: Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020 (pp. 260-260). (Skrifter från Svensk förening för matematikdidaktisk forskning; No. 15). Nationellt centrum för matematikutbildning (NCM).

Juter, Kristina. / Pre-service teachers’ explanations of division by zero and denseness of the number line. Sustainable mathematics education in a digitalized world: Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020. editor / Y. Liljekvist ; L. Björklund ; J. Häggström ; L. Mattsson ; O. Olande ; H. Palmér. Göteborg : Nationellt centrum för matematikutbildning (NCM), 2021. pp. 260-260 (Skrifter från Svensk förening för matematikdidaktisk forskning; 15).

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abstract = "Students{\textquoteright} beliefs about division by zero and numbers on the number line were studied through explanations of the concepts in questionnaires and interviews during their teacher education to become primary school teachers in the years 4–6. The concepts were chosen for students{\textquoteright} proven cognitive challenges in coping with them, with the aim to add to the existing knowledge in terms of specific and general explanation types. General and specific parts of the students{\textquoteright} concept images were contradictory in several cases and the examples used for explaining were often based on other mathematical structures than the ones explained, e.g. 2/1 instead of 2/0 or a finite decimal recitation instead of an infinite one.",

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Juter, K 2021, Pre-service teachers’ explanations of division by zero and denseness of the number line. in Y Liljekvist, L Björklund, J Häggström, L Mattsson, O Olande & H Palmér (eds), Sustainable mathematics education in a digitalized world: Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020. Skrifter från Svensk förening för matematikdidaktisk forskning, no. 15, Nationellt centrum för matematikutbildning (NCM), Göteborg, pp. 260-260.

Pre-service teachers’ explanations of division by zero and denseness of the number line. / Juter, Kristina.
Sustainable mathematics education in a digitalized world: Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020. ed. / Y. Liljekvist; L. Björklund; J. Häggström; L. Mattsson; O. Olande; H. Palmér. Göteborg: Nationellt centrum för matematikutbildning (NCM), 2021. p. 260-260 (Skrifter från Svensk förening för matematikdidaktisk forskning; No. 15).

Research output: Chapter in Book/Report › Chapter in book › peer-review

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AU - Juter, Kristina

PY - 2021

Y1 - 2021

N2 - Students’ beliefs about division by zero and numbers on the number line were studied through explanations of the concepts in questionnaires and interviews during their teacher education to become primary school teachers in the years 4–6. The concepts were chosen for students’ proven cognitive challenges in coping with them, with the aim to add to the existing knowledge in terms of specific and general explanation types. General and specific parts of the students’ concept images were contradictory in several cases and the examples used for explaining were often based on other mathematical structures than the ones explained, e.g. 2/1 instead of 2/0 or a finite decimal recitation instead of an infinite one.

AB - Students’ beliefs about division by zero and numbers on the number line were studied through explanations of the concepts in questionnaires and interviews during their teacher education to become primary school teachers in the years 4–6. The concepts were chosen for students’ proven cognitive challenges in coping with them, with the aim to add to the existing knowledge in terms of specific and general explanation types. General and specific parts of the students’ concept images were contradictory in several cases and the examples used for explaining were often based on other mathematical structures than the ones explained, e.g. 2/1 instead of 2/0 or a finite decimal recitation instead of an infinite one.

M3 - Chapter in book

SN - 978-91-984024-4-5

T3 - Skrifter från Svensk förening för matematikdidaktisk forskning

SP - 260

EP - 260

BT - Sustainable mathematics education in a digitalized world

A2 - Liljekvist, Y.

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PB - Nationellt centrum för matematikutbildning (NCM)

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Juter K. Pre-service teachers’ explanations of division by zero and denseness of the number line. In Liljekvist Y, Björklund L, Häggström J, Mattsson L, Olande O, Palmér H, editors, Sustainable mathematics education in a digitalized world: Proceedings of MADIF 12, The twelfth research seminar of the Swedish Society for Research in Mathematics Education, Växjö, January 14–15, 2020. Göteborg: Nationellt centrum för matematikutbildning (NCM). 2021. p. 260-260. (Skrifter från Svensk förening för matematikdidaktisk forskning; 15).

Pre-service teachers’ explanations of division by zero and denseness of the number line

Abstract

Publication series

Swedish Standard Keywords

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