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  • The book describes the results of a five-year extensive research. On the basis of a questionnaire survey and interviews the following main sources of obstacles in understanding infinity have been identified: the conception of the existence of objects and positions of the horizon. Further the 17 epistemological obstacles in the process of creating the infinity concept divided into four groups have been distinguished: knowledge about finite sets, replacement of an object by 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.
  • The book describes the results of a five-year extensive research. On the basis of a questionnaire survey and interviews the following main sources of obstacles in understanding infinity have been identified: the conception of the existence of objects and positions of the horizon. Further the 17 epistemological obstacles in the process of creating the infinity concept divided into four groups have been distinguished: knowledge about finite sets, replacement of an object by 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. (en)
Title
  • Forming the Infinity Concept through Overcoming Obstacles
  • Forming the Infinity Concept through Overcoming Obstacles (en)
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  • Forming the Infinity Concept through Overcoming Obstacles
  • Forming the Infinity Concept through Overcoming Obstacles (en)
skos:notation
  • RIV/44555601:13440/13:43885042!RIV14-GA0-13440___
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  • P(GA406/07/1026)
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  • 75540
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  • RIV/44555601:13440/13:43885042
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  • Natural and Classical Infinity; Horizon; Cognitive Conflict; Obstacle; Infinity Concept (en)
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  • [1405502A7CE8]
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  • Ústí nad Labem
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  • Neuveden
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  • Forming the Infinity Concept through Overcoming Obstacles
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  • Cihlář, Jiří
  • Eisenmann, Petr
  • Krátká, Magdaléna
number of pages
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  • Univerzita Jana Evangelisty Purkyně v Ústí nad Labem. Přírodovědecká fakulta
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  • 978-80-7414-583-4
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  • 13440
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