Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike

Mišanec, Dario (2015) Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

This thesis examines the strategies of problem solving in mathematics education, with special emphasis on geometric problems. Thesis is divided into five chapters, and each chapter consists of several sections. In the first chapter we deal with mathematical problems, heuristics, problem-based and heuristic-based learning. In the second chapter we investigate how the educational documents (PISA and NOK) deal with construction and solving of mathematical problems and with the application of technology in mathematics education. In the third chapter we study the important role of mathematician and mathematical educator George Pólya in development of methodology of problem solving. In this chapter we also find Pólya’s four steps, i.e. four basic principles of problem solving. In the fourth chapter we introduce various problem solving strategies. Furthermore, we determine the importance and effectiveness of knowing these strategies while solving problems. In the final, fifth chapter we solve geometric problems using the described methods and suggest possible ways of their implementation, with appropriate technology, in mathematics education.

Item Type: Thesis (Diploma thesis)
Supervisor: Milin-Šipuš, Željka
Date: 2015
Number of Pages: 132
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 10 Jun 2015 12:53
Last Modified: 10 Jun 2015 12:53
URI: http://digre.pmf.unizg.hr/id/eprint/4033

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