Izvajanje geometrijskih konstrukcij v osnovni šoli

Abstract

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Language:	Slovenian
Year of publishing:	2012
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[N. Gros]
UDC:	514(043.2)
COBISS:	9311049
Views:	1085
Downloads:	186
Average score:	0 (0 votes)
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Secondary language:	English
Secondary title:	Geometric constructions in lower secondary school
Secondary abstract:	The theoretical part of this thesis presents the historical beginnings of Euclidean geometry, the concept of Euclidean constructions, and some basic methods of solving construction problems. We also focus on the teaching of geometric constructions in the 7th grade of elementary school, in particular we present objectives and standards of knowledge that relate to the teaching of geometric constructions, and we offer a comparative overview of the treatment of Euclidean constructions in two textbooks, one from 1972, and the other from 2003. The main difference between the two textbooks is related to the set of used construction tools and in the way the construction process is documented in the textbook. In the new book almost all constructions are carried out using a triangular protractor and a compass, whereas in the older one the constructions a set square and compass are used. The 2003 textbook explains the subject in more detail and with lots of illustrative examples, so that pupils may be more independent in their study, and also the teacher’s work is facilitated. The core of the empirical part of the thesis consists of a research on the way geometric constructions are treated in Slovenian schools. The participants were 91 mathematics teachers; the data were obtained with a questionnaire. The research points out to two main areas of differences in the way of implementing the construction related part of mathematics curriculum. The first area is the assigned importance of the construction tools and related accuracy in the construction drawing. The second area is the level of the given emphasis to the documentation of the construction steps.
Secondary keywords:	geometry;curriculum;primary school;geometrija;kurikulum;osnovna šola;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in računalništvo
Pages:	XII, 66 str, [4] str. pril.
Type (ePrints):	thesis
Title (ePrints):	Geometric constructions in lower secondary school
Keywords (ePrints):	algebrske konstrukcije
Keywords (ePrints, secondary language):	algebraic constructions
Abstract (ePrints):	Diplomsko delo v prvem sklopu teoretičnega dela predstavlja nastanek evklidske geometrije, pojem evklidskih konstrukcij in osnovne metode reševanja konstrukcijskih problemov. Drugi sklop se osredotoča na poučevanje geometrijskih konstrukcij v 7. razredu osnovne šole: seznanja s cilji in standardi znanja, ki se navezujejo na poučevanje geometrijskih konstrukcij v osnovni šoli, ter ponuja primerjalni pregled obravnave evklidskih konstrukcij v dveh učbenikih iz let 1972 in 2003. Največje razlike med učbenikoma so v naboru uporabljanih konstrukcijskih orodij in pri stopnji nazornosti predstavitve postopkov konstruiranja. Pri uporabi konstrukcijskih orodij se v novejšem času za konstruiranje premic, vzporednic in pravokotnic skoraj izključno uporablja geotrikotnik, medtem ko je v starejšem učbeniku konstrukcija le teh temeljila na uporabi dveh risalnih trikotnikov. Postopki konstruiranja so v novejšem učbeniku predstavljeni podrobno in z nazornimi primeri korakov napredovanja konstrukcije. Sama snov pa je tudi podana podrobneje, s čimer je olajšano samostojno delo učenca ter tudi delo učitelja. Jedro empiričnega dela predstavljajo komentirani rezultati raziskave, ki je bila opravljena med 91 učitelji. S pomočjo vprašalnika so bili med učitelji raziskani številni vidiki poučevanja in izvajanja konstrukcijskih postopkov v osnovni šoli. Raziskava je pokazala, da se razlike v načinih obravnave geometrijskih konstrukcij pojavljajo predvsem na dveh področjih. Prvo področje je pomen konstrukcijskega orodja in s tem povezana natančnost izdelave konstrukcijske slike, drugo področje pa je zapis konstrukcijskih korakov
Abstract (ePrints, secondary language):	The theoretical part of this thesis presents the historical beginnings of Euclidean geometry, the concept of Euclidean constructions, and some basic methods of solving construction problems. We also focus on the teaching of geometric constructions in the 7th grade of elementary school, in particular we present objectives and standards of knowledge that relate to the teaching of geometric constructions, and we offer a comparative overview of the treatment of Euclidean constructions in two textbooks, one from 1972, and the other from 2003. The main difference between the two textbooks is related to the set of used construction tools and in the way the construction process is documented in the textbook. In the new book almost all constructions are carried out using a triangular protractor and a compass, whereas in the older one the constructions a set square and compass are used. The 2003 textbook explains the subject in more detail and with lots of illustrative examples, so that pupils may be more independent in their study, and also the teacher’s work is facilitated. The core of the empirical part of the thesis consists of a research on the way geometric constructions are treated in Slovenian schools. The participants were 91 mathematics teachers; the data were obtained with a questionnaire. The research points out to two main areas of differences in the way of implementing the construction related part of mathematics curriculum. The first area is the assigned importance of the construction tools and related accuracy in the construction drawing. The second area is the level of the given emphasis to the documentation of the construction steps.
Keywords (ePrints, secondary language):	algebraic constructions
ID:	8310558