Overcoming obstacles in understanding infinity
The result's identifiers
Result code in 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>
Result on the web
<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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Alternative languages
Result language
angličtina
Original language name
Overcoming obstacles in understanding infinity
Original language description
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
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
AM - Pedagogy and education
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA406%2F07%2F1026" target="_blank" >GA406/07/1026: Obstacles in Phylogenetic and Ontogenetic Development of the Infinity Concept</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Conference Presentation of Mathematics 11
ISBN
978-80-7372-773-4
ISSN
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e-ISSN
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Number of pages
22
Pages from-to
179-200
Publisher name
Technická univerzita v Liberci
Place of publication
Liberec
Event location
Technická univerzita Liberec
Event date
Oct 19, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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