Title Veliki brojevi u primarnom matematičkom obrazovanju Title (english) Large numbers in primary mathematics education Author Ivona Kovačić 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 Defense date and country 2022-09-21, Croatia Scientific / art field, NATURAL SCIENCES Scientific / art field, NATURAL SCIENCES Abstract Tema ovog diplomskog rada jesu veliki brojevi u primarnom matematičkom obrazovanju. Pojam velikih brojeva ovdje se odnosi na prirodne brojeve veće od sto, a jedan od načina njihovog poučavanja jest primjenom matematičkih slikovnica. Cilj rada jest istražiti matematičke i metodičke karakteristike dostupnih matematičkih slikovnica vezanih uz usvajanje velikih brojeva.
U radu su opisane karakteristike velikih prirodnih brojeva: objašnjenje pojma „prirodni brojevi“, nazivi velikih prirodnih brojeva te zapis istih unutar tablice mjesnih vrijednosti. Istaknuti su i elementi metodike matematike važni za usvajanje pojma velikog broja u primarnom obrazovanju, kao što su načela i metode rada u nastavi matematike te IGSZ model (iskustvo – govor – slika – znak) i primjena istog pri usvajanju pojma velikih brojeva. S obzirom na prethodno navedeni cilj rada, u nastavku je objašnjen i odgojno-obrazovni značaj matematičkih slikovnica te primjena istih u nastavi matematike.
Rad obuhvaća i analizu matematičkih slikovnica, dostupnih u knjižnici Učiteljskog fakulteta Sveučilišta u Zagrebu, s obzirom na matematičke elemente, prisustvo metodičkih načela, potencijalno prisustvo metoda rada te poštivanje primjene IGSZ modela. Rezultati pokazuju da je najčešći najveći veliki broj u analiziranim slikovnicama 1 000 000 te da se uglavnom radi o prirodnim brojevima od 1 do 1 000 000. U svakoj su slikovnici potencijalno prisutna metodička načela te se sve mogu primijeniti uz pomoć IGSZ modela, gdje se iskustvo i slika međusobno nadopunjuju, a govor zauzima osobitu važnost u procesu učenja. U nastavi matematike učitelj može koristiti sve spomenute metode rada služeći se analiziranim slikovnicama, a vrlo je vjerojatno da će se većina odlučiti za metodu demonstracije i metodu rada na tekstu.
Abstract (english) The topic of this thesis is “large numbers in primary mathematics education”. The term „large numbers“ refers to the natural numbers bigger than one hundred, and one of the ways of teaching them is through the use of mathematical picture books. The aim of the paper is to investigate the mathematical and methodical characteristics of available mathematical picture books related to the acquisition of large numbers.
This thesis describes the characteristics of large natural numbers: the explanation of the term "natural numbers", the names of large natural numbers, and their record in the table of place values. The elements of mathematics education important for the adoption of the concept of large numbers in primary education are highlighted, such as the principles and methods of work in mathematics teaching and the ELPS model (experience – language – pictures – symbols) and its application in the adoption of the concept of large numbers. Regarding the above-mentioned goal of the paper, the educational significance of mathematical picture books and their application in teaching mathematics is explained below.
The paper also includes an analysis of mathematical picture books, available in the library of the Faculty of Teacher Education, University of Zagreb, regarding to mathematical elements, the presence of potential principles of mathematics education, the potential presence of work methods and application of the ELPS model. The results show that the most common large number in the analyzed picture books is 1,000,000 and that they are mostly natural numbers from 1 to 1,000,000. The principles are potentially presented in every picture book, and they can all be applied with the help of the ELPS model, where experience and images complement each other, and speech takes an important part in the learning process. In teaching mathematics, the teacher can use all the mentioned work methods using the analyzed picture books, and it is very likely that the majority will choose the demonstration method and the method of working on the text.
Keywords
veliki brojevi
matematička slikovnica
nastava matematike
primarno obrazovanje
Keywords (english)
large numbers
mathematical picture book
teaching mathematics
primary education
Language croatian URN:NBN urn:nbn:hr:147:383295 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 Type of resource Text File origin Born digital Access conditions Open access Terms of use Created on 2023-02-21 13:32:31
