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master's thesis
Duvalov kognitivni model geometrijskog mišljenja
2024. urn:nbn:hr:166:693075
Granić, Antea
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Granić, A. (2024). Duvalov kognitivni model geometrijskog mišljenja (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:693075

Granić, Antea. "Duvalov kognitivni model geometrijskog mišljenja." Master's thesis, University of Split, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:166:693075

Granić, Antea. "Duvalov kognitivni model geometrijskog mišljenja." Master's thesis, University of Split, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:166:693075

Granić, A. (2024). 'Duvalov kognitivni model geometrijskog mišljenja', Master's thesis, University of Split, Faculty of Science, accessed 17 July 2024, https://urn.nsk.hr/urn:nbn:hr:166:693075

Granić A. Duvalov kognitivni model geometrijskog mišljenja [Master's thesis]. Split: University of Split, Faculty of Science; 2024 [cited 2024 July 17] Available at: https://urn.nsk.hr/urn:nbn:hr:166:693075

A. Granić, "Duvalov kognitivni model geometrijskog mišljenja", Master's thesis, University of Split, Faculty of Science, Split, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:166:693075

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Metadata
TitleDuvalov kognitivni model geometrijskog mišljenja
Title (english)Duval's cognitive model of geometric thinking
AuthorAntea Granić
MentorTanja Vojković (mentor)
MentorŽeljka Zorić (pomoć pri izradi, neposredni voditelj)
Committee memberTanja Vojković (predsjednik povjerenstva)
Committee memberAna Laštre (član povjerenstva)
Committee memberŽeljka Zorić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2024-07-04, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Interdisciplinary Natural Sciences
Teaching Methods in the Natural Sciences
Abstract
U ovom radu ukratko je opisan rad francuskog psihologa i filozofa Raymonda Duvala, te utjecaj njegovih opažanja na obrazovanje u matematici. Prikazana je i opisana razlika između pojma reprezentacije nekog objekta u matematici i u stvarnosti. Nadalje, objašnjene su vrste kognitivnih razumijevanja koje djeluju kada su učenici suočeni s matematičkim problemom. Na kraju je provedeno kratko istraživanje na učenicima jedne osnovne škole čiji je cilj bio ispitati u kojoj mjeri učenici u dobi od 11 do 14 godina koriste danu geometrijsku figuru kao ilustraciju umjesto kao matematički objekt onda kada je ono što vide kontradiktorno s onim što geometrijska figura reprezentira. Iz tog istraživanja se zaključuje da velik dio učenika u osnovnoj školi teško odvaja informacije o matematičkom zadatku i skicu istog tog zadatka, odnosno vodi se skicom kao vjerodostojnom i to ih navodi na krive zaključke.
Abstract (english)
In this paper, the work of the French psychologist and philosopher Raymond Duval is briefly described, as well as the impact of his observations on mathematics education. The difference between the concept of representation of mathematical object and an object in reality is presented and explained. Furthermore, the types of cognitive understandings that come into play when students are faced with a mathematical problem are elucidated. Finally, a short study was conducted on elementary school students aiming to examine to what extent students from ages 11 to 14 use a given geometric figure as an illustration instead of using it as a mathematical object when what they see contradicts with what the geometric figure represents. The study concludes that a large portion of elementary school students find it difficult to separate information about a mathematical problem from the illustration of the same problem, relying on the illustration as credible, which leads them to incorrect conclusions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:693075
Study programmeTitle: Mathematics; specializations in: specialization in Pure Mathematics, specialization in Computer Science, specialization in Education, specialization in Statistics and Computer Science
Course: specialization in Education
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni/a magistar/magistra edukacije matematike (sveučilišni/a magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-07-17 13:37:56