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Model vodenega dokazovanja v geometriji : diplomsko delo
ID Jedrinović, Sanja (Author), ID Magajna, Zlatan (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/id/eprint/3060 This link opens in a new window

Abstract
V diplomskem delu obravnavam problematiko poučevanja dokazovanja v šolah. Dokazovanje je bistvo vsega matematičnega raziskovanja, vendar kljub vsem pomembnim funkcijam dokaza, se mu tako učenci kot tudi učitelji izogibajo. Še več, učenci ne prepoznajo potrebe po formalnem dokazu, ki vključuje deduktivno argumentiranje, in naivno zaupajo empirični razvidnosti kot edini verodostojni potrditvi neke izjave. V nadaljevanju predstavljam drugačen pristop k dokazovanju v geometriji, in sicer računalniški model vodenega dokazovanja s pomočjo programa Ok Geometry. S pomočjo izdelanega modela želim pokazati, da lahko učenci z nekaj vodenja v ritualu dokazovanja navajajo več opažanj in ustreznih deduktivnih argumentov ter so posledično pri reševanju geometrijskih problemov bolj uspešni.

Language:Slovenian
Keywords:deduktivno argumentiranje, formalni dokaz, geometrijski problemi, opažanja v geometrijskih konstrukcijah, poučevanje dokazov
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:PEF - Faculty of Education
Publisher:[S. Jedrinović]
Year:2015
Number of pages:57 str.
PID:20.500.12556/RUL-72674 This link opens in a new window
UDC:514(043.2)
COBISS.SI-ID:10710601 This link opens in a new window
Publication date in RUL:29.09.2015
Views:1306
Downloads:316
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Secondary language

Language:English
Title:A model of assisted proving in geometry
Abstract:
My diploma work deals with the problems of teaching proving in schools. Proving is the basis of all mathematical research, yet, despite all the important functions of proof, both students and teachers avoid it. Moreover, students do not recognize the necessity of a formal proof, which includes deductive argumentation and naively trust empirical research as the only reliable confirmation of a statement. In the following, I present a different approach to proving in geometry, namely a computer model of guided proving made with the program Ok Geometry. With the assistance of the made model I want to show that student can, with some guidance, present multiple observations and relevant deductive arguments in the ritual of proving and are consequently more successful at solving geometrical problems.

Keywords:deductive argumentation

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