Overcoming obstacles in understanding infinity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F11%3A43881270" target="_blank" >RIV/44555601:13440/11:43881270 - isvavai.cz</a>

Výsledek na webu

<a href="http://kmd.fp.tul.cz/konf/icpm-text.htm" target="_blank" >http://kmd.fp.tul.cz/konf/icpm-text.htm</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Overcoming obstacles in understanding infinity

Popis výsledku v původním jazyce

On the basis of an extensive questionnaire survey mapping the respondents' initial reactions and quite a large number of interviews investigating individuals' ideas by means of inducing the cognitive conflict the following main sources of obstacles in understanding infinity have been identified: the conception of the existence of objects (the creator?s principle) and the horizon, and its positions. Further we have distinguished a total number of 17 epistemological obstacles in the process of creating the infinity concept and divided them into four groups: knowledge about finite sets, replacement of an object for its model, knowledge about finite processes and potential perception of the infinite process and knowledge about the set of natural numbers. These obstacles are commented on from the point of view of the genetic parallel and illustrated in greater detail by selected extracts from the interviews. Significant is also the description of the development of overcoming individual obs

Název v anglickém jazyce

Overcoming obstacles in understanding infinity

Popis výsledku anglicky

On the basis of an extensive questionnaire survey mapping the respondents' initial reactions and quite a large number of interviews investigating individuals' ideas by means of inducing the cognitive conflict the following main sources of obstacles in understanding infinity have been identified: the conception of the existence of objects (the creator?s principle) and the horizon, and its positions. Further we have distinguished a total number of 17 epistemological obstacles in the process of creating the infinity concept and divided them into four groups: knowledge about finite sets, replacement of an object for its model, knowledge about finite processes and potential perception of the infinite process and knowledge about the set of natural numbers. These obstacles are commented on from the point of view of the genetic parallel and illustrated in greater detail by selected extracts from the interviews. Significant is also the description of the development of overcoming individual obs

Druh

D - Stať ve sborníku

CEP obor

AM - Pedagogika a školství

OECD FORD obor

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Projekt

<a href="/cs/project/GA406%2F07%2F1026" target="_blank" >GA406/07/1026: Překážky ve fylogenetickém a ontogenetickém vývoji pojmu nekonečno</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

International Conference Presentation of Mathematics 11

ISBN

978-80-7372-773-4

ISSN

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e-ISSN

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Počet stran výsledku

22

Strana od-do

179-200

Název nakladatele

Technická univerzita v Liberci

Místo vydání

Liberec

Místo konání akce

Technická univerzita Liberec

Datum konání akce

19. 10. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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