Search for dissertations about: "History of mathematics"

Showing result 1 - 5 of 47 swedish dissertations containing the words History of mathematics.

  2. 1. 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

  4. 2. 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

  5. 3. 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

  6. 4. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

    Author : Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. READ MORE

  7. 5. Mathematical Reasoning : In physics and real-life context

    Author : Helena Johansson; Mats Andersson; Jesper Boesen; Morten Blomhøj; Göteborgs universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Creative mathematical reasoning; Descriptive statistics; Differential item functioning; Figurative context; Imitative reasoning; Mathematical Reasoning Requirements; Mathematics tasks; National tests; Physics tasks; Real-life context; T-test; Upper secondary school; Creative mathematical reasoning; Descriptive statistics; Differential item functioning; Figurative context; Imitative reasoning; Mathematical Reasoning Requirements; Mathematics tasks; National tests; Physics tasks; Real-life context; T-test; Upper secondary school;

    Abstract : This thesis is a compilation of four papers in which mathematical reasoning is examined in various contexts, in which mathematics is an integral part. It is known from previous studies that a focus on rote learning and procedural mathematical reasoning hamper students’ learning of mathematics. READ MORE