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  • 1.
    Winterfeldt, Hanna
    Malmö University, Faculty of Education and Society (LS), Department of Natural Science, Mathematics and Society (NMS).
    Elevers relationella förståelse av matematisk likhet: En undersökning i lågstadiet2024Independent thesis Advanced level (degree of Master (Two Years)), 10 credits / 15 HE creditsStudent thesis
    Abstract [en]

    Mathematical equivalence is crucial throughout the entire course of education. Understanding the concept is a prerequisite for comprehending mathematics, especially in algebra. Despite this, research indicates that many students lack a relational understanding of the concept, both early in their educational journey and as they progress through the grades. However, certain studies suggest that students can demonstrate relational understanding, even at younger ages, as long as you don’t use linguistic assessment methods. This study focuses on primary school students and their understanding of mathematical equivalence. The aim of the study is to investigate whether third-grade students possess a relational understanding of equivalence and, if so, to explore its characteristics. To examine this, a survey was used with math tasks to assess students at a school in southern Sweden’s understanding of equivalence. The surveys have been analyzed through radical constructivism and the Mathematical Equivalence Assesment model. The results indicate that a significant portion of students exhibit partial or complete relational understanding of equality. Furthermore, the findings reveal that students lacking an understanding of the definition of mathematical equivalence attain considerably lower results compared to those with such an understanding. An overarching conclusion that can be drawn in relation to the study's results is that a relational understanding of mathematical equivalence is crucial for long-term learning in mathematics.

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  • 2.
    Winterfeldt, Hanna
    Malmö University, Faculty of Education and Society (LS), Department of Natural Science, Mathematics and Society (NMS).
    Utvecklingen av elevers tidiga relationella förståelse i matematik2023Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Generalisering av matematiska koncept är avgörande för att kunna få relationell förståelse för matematik (Sophian 2013; Skemp 2006). Matematik är uppbyggd av strukturer och mönster. Syftet med denna kunskapsöversikt är att ta reda på hur elever i lågstadieålder förstår dessa mönster och om förmågan till generalisering av matematiska koncept påverkar elevers relationella förståelse. Arbetet utgår ifrån en systematisk sökprocess vars ambition är att sammanfatta forskning som kan besvara kunskapsöversiktens frågeställning. I sökprocessen valdes 5 artiklar som redovisats och analyserats. Resultatet visar att elever som får undervisning i matematiska strategier och koncept lär sig att generalisera bättre och får därmed en större relationell förståelse. Dock visar forskningen att det ändå är många elever som, trots strategisk undervisning, har svårt att få fullständig relationell förståelse för matematik i lågstadieålder.

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