Linearna regresija u srednjoškolskoj nastavi matematike

master's thesis

• Author: Lenka Meštrić
• Mentor: Željka Milin Šipuš (mentor)
• Committee member: Željka Milin Šipuš (predsjednik povjerenstva)
• Committee member: Marko Vrdoljak (član povjerenstva)
• Committee member: Mladen Vuković (član povjerenstva)
• Committee member: Slaven Kožić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-07-12, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu analizirana je tematika linearne regresije u kontekstu srednjoškolske nastave matematike. Prvi dio rada primarno je orijentiran prema teorijskoj pozadini, dok je drugi dio orijentiran prema konkretnoj primjeni. Prvi dio sastoji se kratkog povijesnog pregleda razvoja linearne regresije i metode najmanjih kvadrata, nakon čega su iskazani i demonstrirani različiti oblici linearne veze, a potom je demonstrirano pitanje linearne regresije u matričnom obliku. Drugi dio rada započinje analizom mogućih područja konkretne primjene u stvarnom životu, nastavlja diskusijom primjera korištenja u nastavi srodnih predmeta (fizika i informatika) te se na koncu predlaže moguća realizacija u nastavi matematike.

Abstract (english)

In this thesis, topic of linear regression is analysed in context of high-school mathematics. First part of the thesis is primarily oriented on providing theoretical background, while the second part is oriented to practical implementation. The first part consists of a short historical background of linear regression development, in particular, of the least squares method. Furthermore, various forms of linear relationships are discussed and demonstrated, after which an approach to linear regression in matrix form is demonstrated. The second part begins by analysis of possible applications in real life, while the next chapter discusses examples of possible use in teaching, in particular in subjects related to mathematics (e.g. physics or programming). The final chapter suggests possible realisation of the topic while teaching mathematics.

• Keywords: linearna regresija; nastava matematike; srednja škola; metoda najmanjih kvadrata
• Keywords (english): linear regression; teaching mathematics; high school; middle school; least squares method
• Language: croatian
• URN:NBN: urn:nbn:hr:217:864864
• 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: 2019-11-20 12:23:53