Matematiska förmågors interaktion och det matematiska minnets roll vid lösning av matematiska problem

Sammanfattning: The thesis deals with the interaction of mathematical abilities and the mathematical memory's role in problem-solving. To examine those phenomena, I analyzed the expression of mathematical abilities for high achieving students from upper secondary school. The study shows that the mathematical memory accounts for a relatively small proportion of time of the problem-solving process and that the mathematical memory emerges mainly during the initial phase of the process. Although the mathematical memory accounts for a small percentage of the time of the problem-solving process, the mathematical memory has a decisive role for the choice of problem-solving methods, because the students choose their solution methods in the initial phase of their problem-solving activity. The study shows that the choice of problem-solving method has significant consequences for the students' problem-solving activity; if the chosen methods did not lead to the desired outcome, so the students found it very difficult to change their initially chosen problem-solving methods. The study also shows that students who use general problem-solving methods perform better than students who use numerical methods.