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Kommunikation kring kort division : En karakterisering av elevers matematiska diskurs / Communication About Short Division : A Characterization of Students’ Mathematical DiscourseHorn, Stina January 2023 (has links)
Detta arbete undersöker elevers kommunikation om utförandet av kort division för att lösa divisionsuppgifter utan miniräknare. Arbetets syfte var att finna de svårigheter som elever uppvisar vid utförandet av kort division, samt vad som karakteriserar deras matematiska diskurs i deras kommunikation. Datainsamlingen gjordes genom tre fokusgruppsintervjuer där de intervjuade eleverna fick i uppgift att tillsammans lösa fyra olika divisionsuppgifter. Resultatet visade att eleverna hade svårigheter att hantera divisionsuppgifter som ger upphov till rest, divisionsuppgifter med tvåsiffrig nämnare och att fortsätta sin uträkning om de inte mindes någon del av kort division. Karakteriseringen av elevernas matematiska diskurs baserades på fyra egenskaper vilka enligt Sfard (2008) utgör en matematisk diskurs: ordanvändning, visuella medlare, narrativ och rutiner. Resultatet visade bland annat att det var i mötet med svårigheterna som skapandet av nya narrativ uppstod och att elevernas icke akademiska språk påverkade deras ordanvändning. / This study explores students´ communication about the process of performing short division to solve division problems without a calculator. The aim of the study was to find what difficulties students show in their process of performing short division, as well as what characterizes their mathematical discourse in their communication. The data collection was made using three focus group interviews in which the interviewed students were to solve four different division problems together. The result showed that students have difficulties with division problems that generate a remainder, division problems that have a double-digit denominator, and continuing their calculations if they couldn’t remember a part of the short division method. The characterization of the students’ mathematical discourse was based on four characteristics that, according to Sfard (2008), constitute a mathematical discourse: word use, visual mediators, narratives, and routines. The result showed, among other things, that it was during the encounter with the difficulties that the creation of new narratives arose, and that the students’ nonacademic language affected their use of words.
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