Secondary language: |
English |
Secondary title: |
Generalizations a solving a problem on perimeter |
Secondary abstract: |
The thesis Generalization at solving a problem on perimeter contains basic information on mathematical problems, generalization and the geometry topic of perimeter. It comprises an empirical and a theoretical part. In the theoretical part we presented different definitions of the (mathematical) problem by different authors, the types of mathematical problems, the course of solving problems, the factors in solving etc., and we also focused on generalization in problem solving. Since the empirical part is based on understanding the geometry topic of perimeter, we addressed this topic in the theoretical part as well. The empirical part consists of a problem involving perimeter, and an attempt at generalization by fifth grade students. By analyzing the acquired data we came to the conclusion that the students were successful in solving problems and recognized the mathematical content behind the problem. They were able to produce many different solving strategies. Difficulties arose when generalizing as the students were unable to form a rule. |
Secondary keywords: |
mathematics;primary school;matematika;osnovna šola; |
File type: |
application/pdf |
Type (COBISS): |
Undergraduate thesis |
Thesis comment: |
Univ. Ljubljana, Pedagoška fak., Razredni pouk |
Pages: |
117 str. |
Type (ePrints): |
thesis |
Title (ePrints): |
Generalizations a solving a problem on perimeter |
Keywords (ePrints): |
matematični problem |
Keywords (ePrints, secondary language): |
mathematical problem |
Abstract (ePrints): |
Diplomsko delo Posploševanje pri reševanju problema iz obsega vsebuje osnovne informacije o matematičnih problemih, posploševanju in geometrijski temi obsega. Sestavljeno je iz empiričnega in teoretičnega dela. V teoretičnem delu smo predstavili različne definicije (matematičnega) problema različnih avtorjev, vrste matematičnih problemov, potek reševanja problemov, dejavnike pri reševanju …, osredotočili pa smo se tudi na posploševanje oziroma generalizacijo pri reševanju problemov. Ker empirični del temelji na poznavanju geometrijske teme obsega, smo se v teoretičnem delu posvetili tudi tej temi. Empirični del sestoji iz problema, povezanega z obsegom, ter poskusa posploševanja učencev petega razreda. Z analizo pridobljenih podatkov smo prišli do ugotovitev, da so bili učenci pri reševanju problemov uspešni in so prepoznali matematično vsebino, ki je bila v ozadju problema. Izdelali so veliko različnih strategij reševanja. Težave so se pojavile pri posploševanju, saj učenci pravila niso bili zmožni oblikovati. |
Abstract (ePrints, secondary language): |
The thesis Generalization at solving a problem on perimeter contains basic information on mathematical problems, generalization and the geometry topic of perimeter. It comprises an empirical and a theoretical part. In the theoretical part we presented different definitions of the (mathematical) problem by different authors, the types of mathematical problems, the course of solving problems, the factors in solving etc., and we also focused on generalization in problem solving. Since the empirical part is based on understanding the geometry topic of perimeter, we addressed this topic in the theoretical part as well. The empirical part consists of a problem involving perimeter, and an attempt at generalization by fifth grade students. By analyzing the acquired data we came to the conclusion that the students were successful in solving problems and recognized the mathematical content behind the problem. They were able to produce many different solving strategies. Difficulties arose when generalizing as the students were unable to form a rule. |
Keywords (ePrints, secondary language): |
mathematical problem |
ID: |
8311203 |