Nizovi u osnovnoškolskoj i srednjoškolskoj matematici

master's thesis

• Title (english): Sequences in elementary and high school mathematics
• Author: Ines Šuflaj
• Mentor: Željka Milin Šipuš (mentor)
• Committee member: Željka Milin Šipuš (predsjednik povjerenstva)
• Committee member: Miljenko Marušić (član povjerenstva)
• Committee member: Maja Resman (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2022-07-13, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu analizirano je uvođenje i realizacija matematičkog pojma niza u osnovnoškolskoj i srednjoškolskoj matematici. Prvi dio rada nudi pregled ishoda učenja iz Predmetnog kurikuluma za matematičko područje vezanih za uzorke i nizove kroz osnovnu i srednju školu. Drugi dio je orijentiran na tipične zadatke kojima se obrađuje pojam niza i razvija kroz učenikovo obrazovanje te se nastavlja s opisom progresivne formalizacije Hansa Freudenthala na primjeru razvoja pojma niza. Na kraju rada analiziraju se kurikulumi Irske i Australije te se uspoređuju s hrvatskim kurikulumom.

Abstract (english)

This thesis analyzes the introduction and realization of the mathematical concept of a sequence in primary and secondary mathematics. The first part of the thesis offers an overview of the learning outcomes from the Mathematics Curriculum related to patterns and sequences through primary and secondary school. The second part focuses on typical tasks that deal with the concept of a sequence and how the concept develops through the student’s education. It continues with a description of Hans Freudenthal’s progressive formalization on the example of the development of the concept of a sequence. At the end of the thesis, the curricula of Ireland and Australia are analyzed and compared with the Croatian curriculum.

• Keywords: matematički pojam niza; osnovnoškolska matematika; srednjoškolska matematika; hrvatski Predmetni kurikuluma za matematičko područje; progresivna formalizacija Hansa Freudenthala; kurikulum Irske; kurikulum Australije
• Keywords (english): the mathematical concept of a sequence; elementary school mathematics; high school mathematics; Croatian Curriculum Subjects for Mathematics; the progressive formalization of Hans Freudenthal; Irish curriculum; Australian curriculum
• Language: croatian
• URN:NBN: urn:nbn:hr:217:923177
• Study programme: Title: 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 resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-09-16 06:37:39