Skup prirodnih brojeva do 10 000: načela zornosti i vlastite aktivnosti

master's thesis

• Title (english): The set of natural numbers up to 10,000: principles of visualization and self-activity
• Author: Anja Filjar
• Mentor: Dubravka Glasnović-Gracin (mentor)
• Committee member: Goran Trupčević (predsjednik povjerenstva)
• Committee member: Dubravka Glasnović-Gracin (član povjerenstva)
• Committee member: Matea Dvoršćak (član povjerenstva)
• Granter: University of Zagreb; Faculty of Teacher Education; Zagreb
• Defense date and country: 2021-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics
• Scientific / art field, discipline and subdiscipline: SOCIAL SCIENCES; Pedagogy; Didactics

Abstract

U razrednoj nastavi matematike koriste se različiti didaktički materijali koji pomažu
učenicima vizualizirati apstraktne matematičke pojmove. Kako bi se učenicima u trećem
razredu osnovne škole približili apstraktni matematički sadržaji s većim brojevima,
preporučljivo je koristiti didaktičke materijale kojima se zadovoljavaju dva načela: načelo
zornosti i načelo vlastite aktivnosti. Kod načela vlastite aktivnosti učenici manipuliraju
konkretnim didaktičkim materijalom kako bi vizualizirali matematičke sadržaje, a pritom ih i
zorno prikazuju pa se ističe i načelo zornosti. U ovom radu opisani su načini na koje učenici
usvajaju osnovne aritmetičke pojmove te su navedeni i opisani konkretni didaktički materijali
i aktivnosti koji se mogu koristiti u trećem razredu u nastavi matematike. Opisani su sljedeći
didaktički materijali: Cuisenaire štapići, Stern blokovi, Unifix kocke i različiti Montessori
materijali.
Kako bi se saznalo u kojoj mjeri učitelji razredne nastave u 3. razredu u nastavi
matematike koriste konkretne didaktičke materijale za prikaz brojeva provedeno je anketno
istraživanje. U istraživanju su sudjelovala 74 učitelja razredne nastave. Rezultati pokazuju da
su konkretni didaktički materijali potrebni učenicima 3. razreda u nastavi matematike te su
navedeni didaktički materijali koje učitelji razredne nastave koriste u svom radu s učenicima.

Abstract (english)

Different didactic materials are used in teaching elementary mathematics to help
students visualize abstract mathematical concepts. In order to bring abstract mathematical
contents with larger numbers closer to the students in the third grade of primary school, it is
recommended to use didactic materials that satisfy two principles: the principle of visualization
and the principle of self-activity. With the principle of self-activity, students manipulate
concrete didactic material in order to visualize mathematical contents, and at the same time
visualize them, so the principle of visualization is emphasized. This paper describes the ways
in which students adopt basic arithmetic concepts and lists and describes specific didactic
materials and activities that can be used in the third grade in teaching mathematics. The
following didactic materials are described: Cuisenaire sticks, Stern blocks, Unifix cubes and
various Montessori materials.
A research has been conducted in order to find out to what extent classroom teachers in
the 3rd grade use specific didactic materials in teaching mathematics. 74 primary school
teachers participated in the research. The results show that specific didactic materials are
necessary for teaching mathematics to 3rd grade students and the didactic materials that primary
school teachers use in their work with students are listed in the thesis.

• Keywords: skup prirodnih brojeva do 10 000; načelo zornosti; načelo vlastite aktivnosti; didaktički materijali; razredna nastava matematike
• Keywords (english): the set of natural numbers up to 10; 000; principle of visualization; principle of self-activity; didactic materials; elementary mathematics education
• Language: croatian
• URN:NBN: urn:nbn:hr:147:517024
• Study programme: Title: Integrated Undergraduate and Graduate University Programme of Study of Primary Teacher Education and Integrated Undergraduate and Graduate University Programme of Study for Primary Teacher Education with English and German Language; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra primarnog obrazovanja (magistar/magistra primarnog obrazovanja)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-05-25 09:47:16