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master's thesis
Vizualizacije u matematici
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:985933
Igaly, Magdalena
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Igaly, M. (2019). Vizualizacije u matematici (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:985933

Igaly, Magdalena. "Vizualizacije u matematici." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:985933

Igaly, Magdalena. "Vizualizacije u matematici." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:985933

Igaly, M. (2019). 'Vizualizacije u matematici', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:985933

Igaly M. Vizualizacije u matematici [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:985933

M. Igaly, "Vizualizacije u matematici", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:985933

Metadata
TitleVizualizacije u matematici
AuthorMagdalena Igaly
MentorZrinka Franušić (mentor)
Committee memberZrinka Franušić (predsjednik povjerenstva)
Committee memberSonja Štimac (član povjerenstva)
Committee memberMiljenko Marušić (član povjerenstva)
Committee memberGoran Muić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-07-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Kreativna vizualizacija, odnosno sposobnost stvaranja mentalnih slika, jedan je od važnih alata koji pomažu razumijevanju matematičkih ideja, koncepata i dokaza (tzv. "dokazi bez riječi" ili "grafički dokazi"). Jednostavan, elegantan i slikovit prikaz dokaza, posebno je pogodan radi zornosti i reduciranog teksta. Ipak, vizualni dokazi kriju u sebi zamku ukoliko im se ne pristupi kritički te nikako ne mogu zamijeniti dokaz u klasičnom smislu. Kako slikom prikazujemo brojeve veće od nule, u nekim dokazima radi se tek o nepotpunoj indukciji. Stoga, kako bi se izbjegli pogrešni zaključci, svaka vizualizacija treba biti popraćena logičkim objašnjenjem i smislenim dokazom.
Abstract (english)
This work presents different visualizations that are interesting from both mathematical and pedagogical point of view. The ability to create mental images are important tool that can make understanding mathematical ideas and concepts much easier. More elegant than formal math, graphic proofs offer colorful pictures and diagrams, especially convenient for students who are not very into an abstract math. Despite the positive reactions of the students, visual proofs can easily make you think in wrong direction so visualization cannot replace the proof in a classical notation. Emphasize that in some examples there is only incomplete induction so, to be a proof, each visualization must be accompanied by mathematically logical explanation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:985933
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 on2019-09-25 11:35:13