Autentični zadaci u nastavi matematike

master's thesis

• Title (english): Authentic tasks in mathematics education
• Author: Petra Jegdić
• Mentor: Dubravka Glasnović-Gracin (mentor)
• Committee member: Goran Trupčević (predsjednik povjerenstva)
• Committee member: Dubravka Glasnović-Gracin (član povjerenstva)
• Committee member: Tin Perkov (član povjerenstva)
• Granter: University of Zagreb; Faculty of Teacher Education; Zagreb
• Defense date and country: 2024-09-03, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Interdisciplinary Natural Sciences; Teaching Methods in the Natural Sciences

Abstract

Usvajanje matematičkih sadržaja u nastavi uključuje rješavanje matematičkih zadataka. Stoga posebnu pozornost treba usmjeriti na izbor i upotrebu različitih vrsta matematičkih zadataka kako bi učenici aktivno u ili o matematičkim sadržajima koje će primijeniti u životu. Tema ovog diplomskog rada jesu autentični zadaci u nastavi matematike i njihova analiza u matematičkim udžbenicima. Autentični zadaci su (tekstualni) zadaci koji od učenika zahtijevaju uporabu podataka iz stvarnog života da bi se došlo do rješenja. Autentičan kontekst takvih zadataka omogućava učenicima da povezuju usvojena matematička znanja sa svakodnevnim životom. Cilj ovog diplomskog rada je analizirati autentične zadatke u matematičkim udžbenicima od prvog do četvrtog razreda osnovne škole.
U radu su opisane vrste matematičkog zadatka, njihove podvrste, opisuje se tekstualni matematički zadatak, kao i proces rješavanja zadataka prema različitim izvorima te se ističe važnost konteksta u tekstualnim zadacima. Nadalje, rad obuhvaća i značajke autentičnih zadataka te spominje istraživanja koja uključuju autentične zadatke. U sklopu rada je provedena analiza matematičkog kurikula vezana uz pojavljivanje zahtjeva autentičnosti u njemu. Istraživanje u sklopu ovog diplomskog rada obuhvaća i analizu autentičnih zadataka u osam matematičkih udžbenika od prvog do četvrtog razreda osnovne škole u Republici Hrvatskoj. Rezultati pokazuju da su autentični zadaci prisutni u analiziranim udžbenicima, no njihov je postotak izrazito malen. Ovaj nalaz ukazuje na potrebu jačeg promicanja važnosti autentičnog konteksta u nastavi matematike.

Abstract (english)

Acquisition of mathematical content in school involves solving mathematical problems. Therefore, special attention should be given to selecting and using various mathematical problems. This will help students actively learn mathematical concepts applicable in real life. The topic of this thesis is authentic tasks in mathematics teaching and their analysis in mathematics textbooks. Authentic tasks are (textual) problems that require students to use reallife data to reach a solution. An authentic context for such problems allows students to connect the acquired mathematical knowledge with everyday life. This thesis aims to analyze authentic tasks in mathematics textbooks from the first to the fourth grade of lower primary school.
The thesis describes what a mathematical task is. It includes classifications of mathematical tasks and their subtypes, mentions word problems, describes the problem-solving process according to different sources, and highlights the importance of context in word problem tasks. Furthermore, the paper covers the features of authentic tasks and mentions studies involving authentic tasks. An analysis of the mathematics curriculum regarding the occurrence of authenticity requirements in it has also been conducted. The research included in this thesis encompasses the analysis of authentic tasks in eight mathematics textbooks from the first to the fourth grade of primary school in the Republic of Croatia. The results show that authentic tasks are present in the analyzed textbooks, but their percentage is extremely low. This finding indicates the need to further promote the importance of an authentic context in mathematics teaching.

• Keywords: matematički zadatak; kontekst; autentičan zadatak; udžbenik; kontekst zadatka
• Keywords (english): mathematical task; context; authentic task; textbook; task context
• Language: croatian
• URN:NBN: urn:nbn:hr:147:329198
• Study programme: Title: Integrated undergraduated university study with english language and german language; specializations in: English language, Deutsche sprache; Course: English 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: 2024-11-04 08:48:24