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Bråkigt i matematikläromedel : En komparativ studie mellan svenska och maltesiska matematikläroböcker i årskurs 4 med fokus på hur tal i bråkform presenteras och konkretiseras / Fractions in textbooks : A comparative analysis of how fractions are presented and visualized in mathematical textbooks from Sweden and MaltaWeiderling, Lidia January 2018 (has links)
The aim of this study is to compare two Swedish and two Maltese textbook series in mathematics in the Swedish grade 4 from a mathematical didactic perspective, focusing on how fractions is presented, such as for instance as a number, part of a whole, part of a number, division as a metaphor or a scale, and visualized. The study is based on a comparative approach in which the teaching materials analysed represents their respective countries and schools. Four questions are addressed in this study. These are: 1. What share of the problems in the analysed books covers fractions? 2. How is the subject of fractions presented in the analysed books from Sweden and Malta respectively, for instance as a number, part of a whole, part of a number, with division as metaphor or as a scale? And which is the most common? 3. How is the subject of fractions visualized and how many times does this occur in the analysed pages? 4. What similarities and differences is there regarding the presentation and visualization of the field of fractions between the textbooks analysed from Sweden and Malta? The chosen textbooks from Sweden are Koll på matematik 4A and B and Matte Eldorado 4A and B. The ones from Malta are the textbook serie Abacus for Malta Number 6, Textbook 1 and 2 and the textbook series Busy Ant Maths 6A, B and C. The theoretical framework consists of Karlsson and Kilborn`s definition of the theory ‘konkretisering’, visualizing, and the different way fractions can be presented in. The results show that the analyzed books from Sweden mainly present fractions with division as a metaphor and the visualizing was mainly through everyday connection and through both the inductive and deductive method. The textbook from Malta mainly presents fractions as a number and the visualizing was in wording through the deductive method.
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Bråktal, decimaltal och procent : En kvalitativ studie om hur sambandet mellan bråktal, decimaltal och procent undervisas i årskurs 4-6Abdulrasul, Zahraa January 2017 (has links)
The aim of this study is to investigate how the connection between fractions, decimals and percent are taught in grade 4-6 with more focuson the fractions. The empirical data was obtained by qualitative methods comprising interviews with four mathematic elementary school teachers, in addition to two observations with two classrooms in grade 6. The data presented is from one school. The theoretical framework is based on Liping Ma profound understanding of fundamental mathematics and theories of subject didactic concepts of Kilborn, Löwing, Karlsson & Kilborn and MacIntosh. The results of the interviews and observations show that the connection between fractions, decimals and percent is being taught without illuminating how the mentioned are connected. The aspect of fractions, which has been taught to show the relation between fractions and decimals, was division as metaphor. While there was no aspect of fractions has been taught to show the relation between it and percent except that a percent is a hundredth. Such as 40% is equal with 40/100. In addition, fractions has been taught by using visual aids, but never taught by using number line. In conclusion the connection between fractions, decimals and percent has not been related clearly with basic concept fractions.
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