Kilka uogólnień reguł pewnej gry strategicznej

Jan Górowski; Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2013)

  • Volume: 5, page 57-69
  • ISSN: 2080-9751

Abstract

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In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is suggested how to formalise and generalise such a game, similar games and the procedure of finding the winning strategy.

How to cite

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Jan Górowski, and Adam Łomnicki. "Kilka uogólnień reguł pewnej gry strategicznej." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 5 (2013): 57-69. <http://eudml.org/doc/296341>.

@article{JanGórowski2013,
abstract = {In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is suggested how to formalise and generalise such a game, similar games and the procedure of finding the winning strategy.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {strategic game; winning strategy; game heuristic model},
language = {pol},
pages = {57-69},
title = {Kilka uogólnień reguł pewnej gry strategicznej},
url = {http://eudml.org/doc/296341},
volume = {5},
year = {2013},
}

TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - Kilka uogólnień reguł pewnej gry strategicznej
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2013
VL - 5
SP - 57
EP - 69
AB - In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is suggested how to formalise and generalise such a game, similar games and the procedure of finding the winning strategy.
LA - pol
KW - strategic game; winning strategy; game heuristic model
UR - http://eudml.org/doc/296341
ER -

References

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  1. Kurosz, A. G.: 1965, Algebra ogólna, PWN, Warszawa. 
  2. Lenz, H.: 1968, Matematyka elementarna z wyższego stanowiska, PWN, Warszawa. 
  3. Pieprzyk, H.: 1985, Gra jako pomoc dydaktyczna w kształceniu rozumowania redukcyjnego u uczniów klasy IV, Roczniki Polskiego Towarzystwa Matematycznego, Seria V, Dydaktyka Matematyki 5, 7-59. 

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