About: A coherence of ontogeny and phylogeny of infinity within the context of a geometrical problem

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Analysis of the possible approaches to a solution of several problems related to infinity. There is considered following attributes: cardinality, ordeliness, limitedness, measure, infinite process, limit, convergence, and supremum/infimum. The aim is to find a coherence of the solution aproaches to the problems in therms of phylogeny and onotgeny, especially in therms of Brousseau's epistemological obstacles. The phylogenetic approach is characterised by hypothetical solution as to how it could be solved e.g. by Euclid, Democritos, Kepler, set or scholl mathematics. The ontogenetical approach is characterised by typical reactions of a contemporary indidual. Analysis of the possible approaches to a solution of several problems related to infinity. There is considered following attributes: cardinality, ordeliness, limitedness, measure, infinite process, limit, convergence, and supremum/infimum. The aim is to find a coherence of the solution aproaches to the problems in therms of phylogeny and onotgeny, especially in therms of Brousseau's epistemological obstacles. The phylogenetic approach is characterised by hypothetical solution as to how it could be solved e.g. by Euclid, Democritos, Kepler, set or scholl mathematics. The ontogenetical approach is characterised by typical reactions of a contemporary indidual. (en) Analýza možných přístupů k řešení problému souvisejících s nekonečnem. Uvažovány jsou následující atributy: mohutnost, uspořádání, omezenost, míram nekonečný proces, limita, konvergence a supremum/infimum. Cílem j enajít souvislost mezi možnými způsoby řešení z pohledu ontogeneze a fylogeneze za použití teorie Brousseauových epistemologických překážek. Fylogenetický pohled je ilustrován pomocí hypotetického řešení např. Eukleidova, Demokritova, Keplerova a množinové matematiky a také školské matematiky. Ontogenetický přístup charakterizují typické odpovědi respondentů aktuálního výzkumu. (cs)
Title	A coherence of ontogeny and phylogeny of infinity within the context of a geometrical problem A coherence of ontogeny and phylogeny of infinity within the context of a geometrical problem (en) Spojitost ontogeneze a fylogeneze nekonečna v kontextu geometrických úloh (cs)
skos:prefLabel	A coherence of ontogeny and phylogeny of infinity within the context of a geometrical problem A coherence of ontogeny and phylogeny of infinity within the context of a geometrical problem (en) Spojitost ontogeneze a fylogeneze nekonečna v kontextu geometrických úloh (cs)
skos:notation	RIV/44555601:13440/07:00003786!RIV08-MSM-13440___
http://linked.open.../vavai/riv/strany	279-280
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA406/07/1026), S
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Vopěnka, Petr Krátká, Magdaléna Cihlář, Jiří Eisenmann, Petr
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Jana Evangelisty Purkyně v Ústí nad Labem / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	407807
http://linked.open...ai/riv/idVysledku	RIV/44555601:13440/07:00003786
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	infinity; epistemological obstacle; cardinality; infinite process; supremum; infimum; ontogeny; phylogeny (en)
http://linked.open.../riv/klicoveSlovo	epistemological obstacle infinite process phylogeny supremum infimum infinity ontogeny cardinality
http://linked.open...ontrolniKodProRIV	[75A7A8B29997]
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	SEMT 07: International Sympozium Elementary Maths Teaching Proceedings: Approaches to Teaching Mathematics at the Elementary Level
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Obstacles in Phylogenetic and Ontogenetic Development of the Infinity Concept
http://linked.open...UplatneniVysledku	2007
http://linked.open...iv/tvurceVysledku	Vopěnka, Petr Cihlář, Jiří Eisenmann, Petr Krátká, Magdaléna
number of pages	2 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Univerzita Karlova v Praze
https://schema.org/isbn	978-80-7290-307-8
http://localhost/t...ganizacniJednotka	13440

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