Search for dissertations about: "didactics of mathematics"

Showing result 1 - 5 of 87 swedish dissertations containing the words didactics of mathematics.

  2. 1. On Axioms and Images in the History of Mathematics

    Author : Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; MATHEMATICS; MATEMATIK; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry;

    Abstract : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. READ MORE

  4. 2. Difficult to read or difficult to solve? : The role of natural language and other semiotic resources in mathematics tasks

    Author : Anneli Dyrvold; Magnus Österholm; Ewa Bergqvist; Johan Lithner; Candia Morgan; Umeå universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; HUMANIORA; HUMANITIES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; mathematics education; multisemiotics; task text; difficulty; mathematical reading ability; matematikdidaktik; didactics of mathematics; Mathematics; Pedagogik; Linguistics;

    Abstract : When students solve mathematics tasks, the tasks are commonly given as written text, usually consisting of natural language, mathematical notation and different types of images. This is one reason why reading and interpreting such texts are important parts of being mathematically proficient, at least within the school context. READ MORE

  5. 3. To explore and verify in mathematics

    Author : Tomas Bergqvist; Hans Wallin; Johan Lithner; Morten Blomhøj; Umeå universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Explorations; mathematical reasoning; empirical investigations; graphing calculators; conjectures.; Subject didactics; Ämnesdidaktik; MATHEMATICS; MATEMATIK; didactics of mathematics; matematikdidaktik;

    Abstract : This dissertation consists of four articles and a summary. The main focus of the studies is students' explorations in upper secondary school mathematics. In the first study the central research question was to find out if the students could learn something difficult by using the graphing calculator. READ MORE

  6. 4. Mathematics teachers' conceptions about equations

    Author : Iiris Attorps; Högskolan i Gävle; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; algebra; conception; equation; learning; mathematics teacher; Subject didactics; Ämnesdidaktik; MATHEMATICS; MATEMATIK;

    Abstract : The aim of this study is to describe and to clarify the mathematics teachers’ subject matter and pedagogical content conceptions about equations. As the basis of these conceptions, the teachers’ experiences of the concept learning of equations from their own school time are described. READ MORE

  7. 5. Does language matter? : sources of inequivalence and demand of reading ability of mathematics tasks in different languages

    Author : Frithjof Theens; Ewa Bergqvist; Magnus Österholm; Lotta Vingsle; Andreas Ryve; Umeå universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; mathematics tasks; reading; equivalence; DIF; multilingual assessments; PISA; matematikdidaktik; didactics of mathematics; pedagogiskt arbete; educational work;

    Abstract : Practicing mathematics is not possible without the use of language. To communicate mathematical content, not only words in natural language are used but also non-verbal forms of communication such as mathematical symbols, graphs, and diagrams. All these forms of communication can be seen as part of the language used when doing mathematics. READ MORE