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Students’ difficulties dealing with number line: a qualitative analysis of a question from national standardized assessment”, Quaderni di Ricerca in Didattica (Mathematics)

Authors: LEMMO A; BRANCHETTI L; FERRETTI F; MAFFIA A; MARTIGNONE F;

Students’ difficulties dealing with number line: a qualitative analysis of a question from national standardized assessment”, Quaderni di Ricerca in Didattica (Mathematics)

Abstract

Dans cet article, nous analysons certains particulières erreurs des élèves dans une tâche sélectionnée à partir des tests standardisés national italien en mathématique. En particulier, nous montrons différents types d'erreurs relevées dans les solutions des élèves de 6e année qui ont repondu à une question qui a impliqué la gestion de la ligne graduée. Nous utilisons à la fois les résultats statistiques de l'échantillon national et l'analyse qualitative des réponses dans un plus petit échantillon de 181 étudiants. Notre étude se fonde sur des recherches antérieures sur les difficultés que les étudiants ont à placer des nombres rationnels sur la ligne graduée. Nous utilisons un combinaison des différentes lentilles théoriques pour expliquer les causes possibles de l'échec. Nous montrons comment les réponses de certains élèves peuvent être interprétés comme des résultats de différentes misconception. Les erreurs identifiées sont liés à la gestion des représentations des numéros rationnels (i.e. représentation décimale et fraction) et à la manipulation de la ligne graduée

In this paper we analyse some peculiar students’ mistakes in a task selected from the Italian National Mathematics Standardized Tests. In particular we show different types of errors identified in the solutions of grade 6 students who faced an item that involved the management of the number line. We use both the statistical results of the national sample and the qualitative analysis of answers in a smaller sample of 181 students. Our study draws on previous research on difficulties that students face placing rational numbers on the number line. We use an intertwinement of different theoretical lenses to explain the possible causes of failure. We show how some students’ answers can be interpreted as results of different misconceptions. The identified mistakes are related both to the management of the rational numbers representations (i.e. decimal representation and fraction) and to the manipulation of the graduate scale of the number line.

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Italy
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330, 370

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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