Razvoj prostornog zora u nastavi matematike u osnovnoj i srednjoj školi

master's thesis

• Author: Lucija Kuhar
• Mentor: Aleksandra Čižmešija (mentor)
• Committee member: Aleksandra Čižmešija (predsjednik povjerenstva)
• Committee member: Ana Prlić (član povjerenstva)
• Committee member: Mea Bombardelli (član povjerenstva)
• Committee member: Slaven Kožić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2024-02-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu povezujemo razvoj prostornog zora s Van Hiele modelom razvoja geometrijskog mišljenja. U uvodnom dijelu ukratko smo opisali što je geometrija, čime se bavi i koji je njezin značaj te se osvrnuli na zastupljenost geometrije u Nacionalnom matematičkom kurikulumu. Opisali smo Van Hiele teoriju geometrijskog mišljenja te njenu primjenu u nastavi matematike. Zatim smo razradili niz aktivnosti primjerenih učenicima osnovne i srednje škole kojima učenici razvijaju prostorni zor s osobitim naglaskom na kvalitativna svojstva i povezivanje dvodimenzionalnih i trodimenzionalnih geometrijskih objekata te njihove transformacije. Za svaku aktivnost je razrađen oblik rada, tijek aktivnosti, dani su primjeri nastavnih listića i rješenja te zaključci do kojih učenici trebaju doći. Na kraju smo opisali mogućnosti primjene 3D printanja u nastavi matematike

Abstract (english)

In this thesis, we connect the development of spatial vision with the Van Hiele model of geometric thinking. In the introduction, we briefly described what geometry is, what it deals with, and its importance, as well as the representation of geometry in the National Mathematics Curriculum. We described the Van Hiele theory of geometric thinking and its application in mathematics education. Furthermore, we developed a series of activities suitable for elementary and high school students through which students develop spatial vision with a special emphasis on qualitative properties and the connection between two-dimensional and three-dimensional geometric objects and their transformations. For each activity, we elaborated the form of work, the course of the activity, examples of worksheets and its solutions, as well as the conclusions that students should arrive at. Finally, we described the possibilities of applying 3D printing in mathematics education.

• Keywords: prostorni zor; Van Hiele model; razvoj geometrijskog mišljenja
• Keywords (english): spatial vision; Van Hiele model; geometric thinking
• Language: croatian
• URN:NBN: urn:nbn:hr:217:880696
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-03-13 12:33:11