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master's thesis
Dokazi u nastavi matematike
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:095768
Babić, Iva
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

Cite this document

Babić, I. (2017). Dokazi u nastavi matematike (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:095768

Babić, Iva. "Dokazi u nastavi matematike." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:095768

Babić, Iva. "Dokazi u nastavi matematike." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:095768

Babić, I. (2017). 'Dokazi u nastavi matematike', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 19 June 2024, https://urn.nsk.hr/urn:nbn:hr:126:095768

Babić I. Dokazi u nastavi matematike [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 June 19] Available at: https://urn.nsk.hr/urn:nbn:hr:126:095768

I. Babić, "Dokazi u nastavi matematike", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:095768

Metadata
TitleDokazi u nastavi matematike
Title (english)Proofs in Mathematics Education
AuthorIva Babić
MentorIvan Matić (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberLjerka Jukić Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-10-06, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Dokazi u matematici imaju vrlo važnu ulogu i trebali bi imati svoje mjesto u nastavi matematike. Osim što utvđuju istinitost matematičkih tvrdnji, oni ih objašnjavaju te potiču učenike na logičko zaključivanje i deduktivno razmišljanje. Učenici iz njih mogu naučiti neke metode rješavanja problema i matematičke koncepte.Često ne shvaćaju zašto je dokazivanje tvrdnji potrebno i većina njih smatra da je za dokazivanje tvrdnje dovoljno naći odgovarajući primjer. Oni zapravo nemaju intelektualnu potrebu za dokazima. Stoga, učitelj treba potaknuti učenike na dokazivanje pomoću dobro smišljenih aktivnosti kako bi se kod njih pojavila potreba za dokazivanjem. Primjeri takvih aktivnosti predstavljeni su u ovom radu kao istraživanje u kojem su učenici koristili program dinamičke geometrije. Korištenje programa dinamičke geometrije može biti vrlo korisno učenicima jer pomoću njega mogu vrlo brzo i jednostavno utvrditi valjanost tvrdnji. U zadnjem dijelu rada nalaze se primjeri dokaza iz udžbenika za osnovnu i srednju školu.
Abstract (english)
Mathematical proofs play a very important role and should have their place in math classes. Besides determining the truth of mathematical statements, they also explain them and reinforce logical conclusions and deductive thinking. Students can learn some methods of solving the problems and mathematical concepts using them. It is common that students do not understand why it is necessary to substantiate their claims, and most of them think it is enough to find a suitable example to prove them. They do not actually have the intellectual need for proofs. Therefore, the teacher is supposed to encourage students to prove statements by means of well-designed activities in order to create their need for proofs. Examples of such activities are presented in this paper as a study in which students used a dynamic geometry program. The use of dynamic geometry can be very helpful to students, because they can quickly and easily determine the validity of a claim by using it. In the last part of the paper, there are examples of proofs from elementary and high school textbooks.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:095768
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-10-23 08:32:27