Teorija brojeva i glazba

master's thesis

• Author: Luka Kapitanić
• Mentor: Zrinka Franušić (mentor)
• Committee member: Zrinka Franušić (predsjednik povjerenstva)
• Committee member: Goran Muić (član povjerenstva)
• Committee member: Boris Muha (član povjerenstva)
• Committee member: Sonja Štimac (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-07-15, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Glazba i matematika imaju vrlo bliski odnos koji se proteže tisućama godina, do samih početaka glazbe i civilizacije. Obično se organiziraju u dvije odvojene kategorije, bez očiglednog preklapanja. Ljudi su dobri u matematici i znanosti, umjetnosti i glazbi, kao da se ta dva elementa ne mogu logično smjestiti zajedno. U radu vidimo u kojoj su mjeri zapravo matematika i glazba povezani, te kako tu vezu upotrijebiti u nastavi matematike. Ako bi jedna osoba rekla da je glazba skup matematičkih odnosa koji se mogu objasniti algebarskim jednadžbama, a druga osoba da je glazba dar od Boga, koji čovječanstvo nikada neće u potpunosti shvatiti, obje ove osobe bi bile u pravu.

Abstract (english)

Music and math have a very close relationship that stretches back thousands of years, to the very origins of music and civilization. They are usually organized into two distinct categories, without obvious overlapping. People are good in math and science, art and music, as if these two elements can not logically accommodate together. In this paper we can see the extent to which mathematics and music are connected, and how to use this relationship in math teaching. If one person were to say that music is a set of mathematical relationships that can be explained with algebraic equations, and another person were to say that music is a gift from God, that mankind will never really totally comprehend, both of those individuals would be absolutely correct.

• Keywords: matematika i glazba; nastava matematike
• Keywords (english): mathematics and music; teaching mathematics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:913252
• Study programme: Title: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education; Course: Mathematics and Computer Science Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-09-30 10:15:36