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1. 1. Med uppgift att lära : om matematikuppgifter som en resurs för lärande

   Författare :Jonas Jäder; Johan Lithner; Mathias Norqvist; Anna Teledahl; Frode Rønning; Umeå universitet; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; task; mathematical problem; textbook; problem solving; reasoning; beliefs; mathematical challenge; upper secondary school; Matematikuppgift; Matematiskt problem; Problemlösning; Lärobok; Matematiskt resonemang; Gymnasieskolan; Utmaningar; matematikdidaktik; didactics of mathematics; Utbildning och lärande;

   Sammanfattning : Elevers möjligheter att utveckla sin kunskap i matematik påverkas av de uppgifter de arbetar med. Det är möjligt att göra en distinktion mellan rutinuppgifter och matematiska problem. En rutinuppgift är en uppgift som en elev kan lösa genom att använda en välbekant metod, eller genom att imitera en förlaga. LÄS MER

3. 2. Objects and objectivity : Alternatives to mathematical realism

   Författare :Ebba Gullberg; Sten Lindström; John Cantwell; Umeå universitet; []
   Nyckelord :HUMANIORA; HUMANITIES; Philosophy of mathematics; mathematical realism; ontological realism; semantic realism; platonism; the semantic argument; the indispensability argument; the non-uniqueness problem; Benacerraf s dilemma; the irrelevance challenge; Field; Carnap; Balaguer; Yablo; the internal external distinction; fictionalism; Theoretical philosophy; Teoretisk filosofi; Theoretical Philosophy; teoretisk filosofi;

   Sammanfattning : This dissertation is centered around a set of apparently conflicting intuitions that we may have about mathematics. On the one hand, we are inclined to believe that the theorems of mathematics are true. LÄS MER

4. 3. Numerical methods for wave propagation in solids containing faults and fluid-filled fractures

   Författare :Ossian O'Reilly; Jan Nordström; Per Lötstedt; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This thesis develops numerical methods for the simulation of wave propagation in solids containing faults and fluid-filled fractures. These techniques have applications in earthquake hazard analysis, seismic imaging of reservoirs, and volcano seismology. A central component of this work is the coupling of mechanical systems. LÄS MER

5. 4. Characterizing Prospective Elementary Teachers' Mathematical Knowledge for Teaching Fractions

   Författare :Anne Tossavainen; Maria Johansson; Monica Johansson; Ola Helenius; Iben Christiansen; Luleå tekniska universitet; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; elementary teacher education; fractions; mathematical identity; mathematical knowledge for teaching; prospective elementary teacher; Mathematics and Science Education; Matematikens och naturvetenskapernas didaktik;

   Sammanfattning : Although research has delved into the challenges faced by mathematics teachers and students across various educational levels when working with fractions, these challenges persist. Fractions are an important but difficult content area in elementary school mathematics, and many future elementary teachers enter teacher education with limited knowledge of fractions. LÄS MER

7. 5. Orchestrating mathematical whole-class discussions in the problem-solving classroom : Theorizing challenges and support for teachers

   Författare :Maria Larsson; Andreas Ryve; João Pedro da Ponte; Mälardalens högskola; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; whole-class discussion; problem solving; five practices model; mathematical connection; argumentation; inquiry argument; supportive tool; Didactics; didaktik;

   Sammanfattning : Promising teaching approaches for developing students’ mathematical competencies include the approach of teaching mathematics through problem solving. Orchestrating a whole-class discussion of students’ ideas is an important aspect of teaching through problem solving. LÄS MER