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master's thesis
Linearno programiranje u srednjoškolskoj nastavi matematike
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:292601
Mustapić, Tomislava
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Mustapić, T. (2019). Linearno programiranje u srednjoškolskoj nastavi matematike (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:292601

Mustapić, Tomislava. "Linearno programiranje u srednjoškolskoj nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:292601

Mustapić, Tomislava. "Linearno programiranje u srednjoškolskoj nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:292601

Mustapić, T. (2019). 'Linearno programiranje u srednjoškolskoj nastavi matematike', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:292601

Mustapić T. Linearno programiranje u srednjoškolskoj nastavi matematike [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:292601

T. Mustapić, "Linearno programiranje u srednjoškolskoj nastavi matematike", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:292601

Metadata
TitleLinearno programiranje u srednjoškolskoj nastavi matematike
AuthorTomislava Mustapić
MentorŽeljka Milin Šipuš (mentor)
Committee memberŽeljka Milin Šipuš (predsjednik povjerenstva)
Committee memberSlaven Kožić (član povjerenstva)
Committee memberMladen Vuković (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-07-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad opisuje glavne sastavnice linearnog programiranja, funkciju cilja i dopustivo područje, uključujući njihove moguće oblike i metode rješavanja problema linearnog programiranja – geometrijski pristup rješavanju problema linearnog programiranja i opis koraka simpleks metode, najpoznatijeg algoritma za rješavanje problema linearnog programiranja. Posebno pažnja je usmjerena na geometrijski pristup rješavanju problema linearnog programiranja i njegovu primjenu u srednjoškolskoj nastavi matematike. Nadalje, u ovom radu možemo pronaći područja i načine primjene linearnog programiranja u ravnini i u višedimenzionalnim prostorima. Također, opisuje se i korištenje informatičke tehnologije u svrhu rješavanja i vizualizacije problema linearnog programiranja koja su primjerena učenicima srednjih škola. Zaključno, ovaj rad je opis procesa linearnog programiranja i njegove primjene u nastavi matematike u srednjim školama. S obzirom na to, nadam se da će mnogima biti pomoć u radu te poticaj i ohrabrenje za poučavanje matematike.
Abstract (english)
This thesis describes the main ideas and steps in linear programming, objective function and feasible area, including their possible forms and methods of solving linear programming problems - a geometric approach to solving the problem of linear programming and a description of the steps of the simplex method, well known algorithm for solving problems of linear programming. Particular attention is focused on the geometric approach to solving the problem of linear programming and its application in secondary school mathematics. Furthermore, in this thesis we can find areas and ways of applying linear programming in the plane and in multidimensional spaces. We also describe the use of informatic technology for the purpose of solving and visualizing linear programming problems that are appropriate for high school students. To conclude, this thesis describes the process of linear programming and its application in teaching mathematics in secondary schools. With this in mind, Ihope that this thesis will be helpful in work, thrust and encouragement for many to teach mathematics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:292601
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-11-20 13:55:27