Glazba u nastavi matematike: pjesma kao sredstvo uvođenja pojma broja

master's thesis

• Title (english): Music in Teaching Mathematics: Song as a Means of Introducing the Concept of Number
• Author: Mihaela Dvojković
• Mentor: Dubravka Glasnović-Gracin (mentor)
• Mentor: Tamara Jurkić-Sviben (sumentor)
• Committee member: Dubravka Glasnović-Gracin (predsjednik povjerenstva)
• Committee member: Tamara Jurkić-Sviben (član povjerenstva)
• Committee member: Goran Trupčević (član povjerenstva)
• Granter: University of Zagreb; Faculty of Teacher Education; Zagreb
• Defense date and country: 2020-07-07, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Interdisciplinary Natural Sciences; Teaching Methods in the Natural Sciences

Abstract

Aritmetika i poučavanje aritmetike neprestano se razvijaju od drevnih civilizacija do danas. Aritmetika se počela razvijati jer su ljudima bili potrebni brojevi. U povijesti su postojali različiti brojevni sustavi, a neki od njih se upotrebljavaju i danas. Najrašireniji je arapski brojevni sustav (koji je nastao u Indiji) a danas se poučava u početnoj nastavi matematike. Poučavanje pojma broja kompleksan je proces koji se odvija od konkretnog prema apstraktnom. U suvremenoj nastavi se brojevi formiraju postepeno pomoću konkretnih materijala i različitih modela, kao što je IGSZ (iskustvo, govor, slike, znakovi) model Pamele Liebeck. Suvremena početna nastava aritmetike temelji se na načelima, metodama, oblicima rada i različitim nastavnim sredstvima. Sva načela su jednako važna pa ih je važno pravovremeno izmjenjivati i upotpunjavati različitim metodama i oblicima rada. Za uvođenje pojma broja postoji mnoštvo vizualnih nastavnih sredstava, no ne postoji puno auditivnih sredstava. Gardnerova teorija višestrukih inteligencija pokazuje važnost interdisciplinarnosti u nastavi. Matematika i glazba su povezane na više razina pa njihovo povezivanje u nastavi pridonosi razvoju cjelovitog znanja. Glazba u nastavi matematike može učinkovito povećati učeničku intrinzičnu motivaciju i pozitivno utječe na interes i koncentraciju.
Cilj ovog rada jest opisati povijesni razvoj aritmetike, objasniti kompleksnost formiranja pojma broja, te opisati načela, metode, oblike rada i nastavna sredstva i pomagala koja se koriste u uvođenju pojma broja. Osim toga, ovaj rad govori o dubokoj povezanosti matematike i glazbe i na kraju prikazuje uglazbljene pjesme kao sredstvo za uvođenje pojma brojeva do 20.

Abstract (english)

Arithmetic and the teaching of arithmetic have been constantly evolving from ancient civilizations to the present day. Arithmetic began to evolve because people needed numbers. There have been various number systems in history, and some of them are still used today. The most widespread is the Arabic numeral system (which originated in India) and is taught in the initial teaching of mathematics today. Teaching the concept of number is a complex process that moves from concrete to abstract. In modern teaching, numbers are formed gradually using concrete materials and different models, such as Pamela Liebeck’s ELPS (experience, language, pictures, symbols) model. Modern initial teaching of arithmetic is based on principles, methods, forms of work and various teaching aids. All principles are equally important, so it is important to change and supplement them at the right time with different methods and forms of work. There are many visual teaching aids for introducing the concept of number, but there are not many auditory aids. Gardner's Theory of Multiple Intelligences shows the importance of interdisciplinarity in teaching. Mathematics and music are connected on several levels, so their connection in teaching contributes to the development of complete knowledge. Music in mathematics teaching can effectively increase students’ intrinsic motivation and positively affect their interest and concentration.
The aim of this paper is to describe the historical development of arithmetic, to explain the complexity of the formation of the concept of number, and to describe the principles, methods, forms of work and teaching aids used in the introduction of the concept of number. In addition, this paper discusses the deep connection between mathematics and music and finally presents musicalized songs as a means of introducing the concept of numbers up to 20.

• Keywords: pojam broja; početna nastava aritmetike; nastavna sredstva; pjesma; povezanost matematike i glazbe
• Keywords (english): the concept of number; initial arithmetic teaching; teaching aids; song; connection between mathematics and music
• Language: croatian
• URN:NBN: urn:nbn:hr:147:344299
• 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: 2021-01-29 10:52:36