Search for dissertations about: "mathematics dissertation"

Showing result 1 - 5 of 116 swedish dissertations containing the words mathematics dissertation.

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. Speaking of Geometry : A study of geometry textbooks and literature on geometry instruction for elementary and lower secondary levels in Sweden, 1905-1962, with a special focus on professional debates

   Author : Johan Prytz; Staffan Rodhe; Anders Öberg; Sten Kaijser; Jan van Maanen; Patricio Herbst; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; geometry instruction; mathematics education; Sweden; textbook; curriculum; professional; elementary school; secondary school; history of mathematics education; history of mathematics; history of education; MATEMATIK;

   Abstract : This dissertation deals with geometry instruction in Sweden in the period 1905-1962. The purpose is to investigate textbooks and other literature used by teachers in elementary schools (ES) and lower secondary schools (LSS) – Folkskolan and Realskolan – connection to geometry instruction. 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. Invariants of knot diagrams and diagrammatic knot invariants

   Author : Olof-Petter Östlund; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Knot theory; knot diagram; plane curve; Reidemeister move; finite degree invariant; combinatorial knot invariant; Gauss diagram; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : Two knot diagrams describe isotopic knots if and only if they can be connected by a sequence of planar isotopies and Reidemeister moves (cusp-, self-tangency-, and triple point moves). In this dissertation classes of knot diagrams, Reidemeister moves, and relations between sequences of Reidemeister moves are investigated, in a manner inspired by V. READ MORE

7. 5. Studies in the Conceptual Development of Mathematical Analysis

   Author : Kajsa Bråting; Anders Öberg; Hans Niels Jahnke; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; History of mathematics; conceptual development; mathematical analysis; Other mathematics; Övrig matematik; Mathematics; Matematik;

   Abstract : This dissertation deals with the development of mathematical concepts from a historical and didactical perspective. In particular, the development of concepts in mathematical analysis during the 19th century is considered. The thesis consists of a summary and three papers. In the first paper we investigate the Swedish mathematician E. READ MORE