diplomsko delo
Sonja Lahajner (Author), Zlatan Magajna (Mentor)

Abstract

Primerjava izbranih programov dinamične geometrije

Keywords

dinamična geometrija;Geogebra;Cabri;Cinderella;

Data

Language: Slovenian
Year of publishing:
Source: Ljubljana
Typology: 2.11 - Undergraduate Thesis
Organization: UL PEF - Faculty of Education
Publisher: [S. Lahajner]
UDC: 514:004(043.2)
COBISS: 9495113 Link will open in a new window
Views: 985
Downloads: 182
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Other data

Secondary language: English
Secondary title: Comparison of selected dynamic geometry software
Secondary abstract: Mathematical software is an important means for increasing motivation and for promoting activities for developing mathematical thinking. One of the main purposes in this respect is improving the level of geometric thinking. The diploma thesis starts with a description of Van Hiele theory, which is considered to be the best description of pupils’ understanding of two-dimensional geometry. The theory aims to improving pupils’ level of geometric thinking, which can be achieved also by combining dynamic geometry and teachers’ guidance. Next we will focus on three typical representatives of dynamic geometry software, namely Geogebra (Geogebra 4), Cabri (Cabri Geometry II Plus) and Cinderella (Cinderella 2). All of them are suitable for teaching in lower and upper secondary school, high school and college. However, they differ in specifics that are important in certain learning situations. We do not pay attention to all technical features (using scrollbar, technical support, animations etc). Instead we consider the very basic constructions, and how they affect the formation of students' mathematical concepts. We compare the appropriateness of icons for basic commands, the way of constructing the basic geometry shapes, the problems of continuity of constructions, the way of measuring geometric quantities etc. Our basic question is whether any of these features affects the choice of the software made by mathematics teachers. The empirical part of the thesis consists of interviews with experts who are familiar with all the considered software. The summary of their answers will hopefully help to determine, which program is suited for particular situations.
Secondary keywords: geometry;didactic use of computer;geometrija;didaktična uporaba računalnika;
File type: application/pdf
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Pages: 88 str., 10 str. pril.
Type (ePrints): thesis
Title (ePrints): Comparison of selected dynamic geometry software
Keywords (ePrints): Cabri
Keywords (ePrints, secondary language): Cabri
Abstract (ePrints): Matematično programsko opremo lahko s pridom uporabimo pri pouku za večjo motivacijo, predvsem pa za aktivnosti, ki pomagajo k razvoju matematičnega razmišljanja. Izboljšanje nivoja geometrijskega razmišljanja je eden izmed glavnih ciljev pri poučevanju matematike. Diplomsko delo opisuje Van Hielovo teorijo. Trenutno je ta teorija najbolj razširjen opis učenčevega razmišljanja o ravninski geometriji. Omenjena teorija lahko s kombinacijo uporabe programov dinamične geometrije in s primernim učiteljevim vodenjem bistveno pripomore k dvigu učenčevega nivoja geometrijskega razmišljanja. V nadaljevanju se osredotočimo na tri najbolj tipične predstavnike programov dinamične geometrije, Geogebra (Geogebra 4), Cabri (Cabri Geometry II Plus) in Cinderella (Cinderella 2). Sledi opis vsakega programa. Vsi programi so dobri in primerni za učenje in poučevanje v osnovni ter srednji šoli, tudi za uporabo na fakulteti. Vendar pa kljub podobnostmi med njimi najdemo kar nekaj specifičnih razlik. Ne zanimajo nas vse značilnosti programov (uporaba drsnikov, tehnična podpora, animacije ipd), temveč le osnovne konstrukcije in njihov vpliv na izgradnjo matematičnih pojmov pri učencih. Primerjamo primernost ikon osnovnih ukazov, način konstruiranja osnovnih geometrijskih objektov, primerjamo problematiko zveznosti pri konstrukcijah, merjenje geometrijskih količin ipd. Zanima nas, ali bi katera izmed lastnosti bistveno vplivala na izbiro programa pri učiteljih matematike v osnovni šoli. V empiričnem delu diplomskega dela z metodo intervjuja pridobimo mnenja strokovnjakov, ki se pri svojem delu srečujejo z omenjenimi programi. Odgovore povzamemo in poskušamo ugotoviti, kateri program je v določeni situaciji najboljša izbira.
Abstract (ePrints, secondary language): Mathematical software is an important means for increasing motivation and for promoting activities for developing mathematical thinking. One of the main purposes in this respect is improving the level of geometric thinking. The diploma thesis starts with a description of Van Hiele theory, which is considered to be the best description of pupils’ understanding of two-dimensional geometry. The theory aims to improving pupils’ level of geometric thinking, which can be achieved also by combining dynamic geometry and teachers’ guidance. Next we will focus on three typical representatives of dynamic geometry software, namely Geogebra (Geogebra 4), Cabri (Cabri Geometry II Plus) and Cinderella (Cinderella 2). All of them are suitable for teaching in lower and upper secondary school, high school and college. However, they differ in specifics that are important in certain learning situations. We do not pay attention to all technical features (using scrollbar, technical support, animations etc). Instead we consider the very basic constructions, and how they affect the formation of students' mathematical concepts. We compare the appropriateness of icons for basic commands, the way of constructing the basic geometry shapes, the problems of continuity of constructions, the way of measuring geometric quantities etc. Our basic question is whether any of these features affects the choice of the software made by mathematics teachers. The empirical part of the thesis consists of interviews with experts who are familiar with all the considered software. The summary of their answers will hopefully help to determine, which program is suited for particular situations.
Keywords (ePrints, secondary language): Cabri
ID: 8311133