Od hipotezy do twierdzenia

Jan Górowski; Maciej Klakla; Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2012)

  • Volume: 4, page 75-82
  • ISSN: 2080-9751

Abstract

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In the paper, on the basis of elementary geometrical content, the authors present examples of students' reasoning, which permits, in the first place, to formulate a hypothesis, and further to find a proof. The essential fact here is that the same hypothesis can lead students to follow different possible ways of reasoning.

How to cite

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Jan Górowski, Maciej Klakla, and Adam Łomnicki. "Od hipotezy do twierdzenia." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 4 (2012): 75-82. <http://eudml.org/doc/296304>.

@article{JanGórowski2012,
abstract = {In the paper, on the basis of elementary geometrical content, the authors present examples of students' reasoning, which permits, in the first place, to formulate a hypothesis, and further to find a proof. The essential fact here is that the same hypothesis can lead students to follow different possible ways of reasoning.},
author = {Jan Górowski, Maciej Klakla, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {Hypothesis and verification; proof},
language = {pol},
pages = {75-82},
title = {Od hipotezy do twierdzenia},
url = {http://eudml.org/doc/296304},
volume = {4},
year = {2012},
}

TY - JOUR
AU - Jan Górowski
AU - Maciej Klakla
AU - Adam Łomnicki
TI - Od hipotezy do twierdzenia
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2012
VL - 4
SP - 75
EP - 82
AB - In the paper, on the basis of elementary geometrical content, the authors present examples of students' reasoning, which permits, in the first place, to formulate a hypothesis, and further to find a proof. The essential fact here is that the same hypothesis can lead students to follow different possible ways of reasoning.
LA - pol
KW - Hypothesis and verification; proof
UR - http://eudml.org/doc/296304
ER -

References

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  1. Enriques, F., Amaldi, U.: 1916, Zasady gieometrji elementarnej do użytku szkół średnich, Warszawa-Lwów. 
  2.  
  3. Górowski, J., Klakla, M., Łomnicki, A.: 1995, O czworoboku wypukłym, Gradient 7, 218-232. 
  4.  
  5. Górowski, J., Klakla, M., Łomnicki, A.: 1996, Jeszcze o czworoboku wypukłym, Gradient 1-2, 14-25. 
  6.  
  7. Górowski, J., Klakla, M., Łomnicki, A.: 1997a, O pewnej charakterystyce trójkątów równoramiennych i równobocznych, Gradient 1, 13-20. 
  8.  
  9. Górowski, J., Klakla, M., Łomnicki, A.: 1997b, O pewnych własnościach czworokąta wypukłego, Matematyka 4, 206-209. 
  10.  
  11. Górowski, J., Klakla, M., Łomnicki, A.: 1997c, Trójkąt – niewyczerpane źródło problemów, Matematyka 6, 357-360. 
  12.  
  13. Górowski, J., Klakla, M., Łomnicki, A.: 2004, Zadania „na wymuszanie” jako środek matematycznej aktywizacji uczących się, Roczniki Polskiego Towarzystwa Matematycznego, Seria V, Dydaktyka Matematyki 26, 61-80. 

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