Trodimenzionalna fraktalna analiza pojava u kršu

master's thesis

• Author: Andreja Mikuš
• Mentor: Dalibor Paar (mentor)
• Committee member: Dalibor Paar (predsjednik povjerenstva)
• Committee member: Tina Bosner (član povjerenstva)
• Committee member: Matko Glunčić (član povjerenstva)
• Committee member: Marcela Hanzer (član povjerenstva)
• Committee member: Maja Planinić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2016-11-29, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

Ovaj rad pokazuje mogućnosti osmišljavanja projektne nastave koja povezuje znanja iz različitih područja kao što su matematika, fizika i programiranja s prirodnim pojavama. Uloga projektne nastave je upravo da se učenik stavi u središte nastavnog procesa te da ga se zainteresira za osnovnoškolsku i srednjoškolsku nastavu primjenjujući nova znanja na problemima iz svakodnevnog života. Odabrani problem u slučaju ovog rada je specifičan, to su prirodne pojave u kršu – špilje – za koje smo postavili pitanje imaju li prirodnu fraktalnost. Fraktalna dimenzija kao rezultat analize prirodne pojave je kvantitativni podatak koji može imati veliku važnost, ne samo radi utvrđivanja fraktalnosti (a time i kvantitativna mjera razine kompleksnosti) dane pojave već ona može biti indikator različitih geoloških, hidroloških i fizikalnih procesa koji su utjecali na razvoj špilja. Metoda se može primijeniti i na druge pojave u kršu poput mreže vodenih tokova, distribucije ponikvi itd. Nešto od toga je u svijetu publicirano u znanstvenoj literaturi pa uvođenjem učenika u tu tematiku zapravo ih uvodimo u aktualnu znanstvenu metodu, odnosno učimo ih neke od temeljnih koncepata znanstvenog istraživanja: izbor metode, izbor pojave koja se proučava, analiza i interpretacija. U tom kontekstu ovakav projektni zadatak može imati i širi okvir. Uloga ovog rada je i da nastavniku pokaže da znanstvena analiza kompleksnih pojava u prirodi ne mora biti toliko složena da ju uz odgovarajuće alate ne može predstaviti učeniku.

Abstract (english)

This work shows the possibilities for designing project-based learning that connects knowledge of mathematics, physics and programming with natural phenomena. The role of project-based learning is to increase the student interest in the theme by applying new knowledge to real problems. Selected problem in this work is specific, these are natural phenomena in karst - caves - which we asked the question about their natural fractality. Fractal dimension as a result of the analysis of natural phenomena is quantitative information that can have great importance, not only to determine fractality (and thus a quantitative measure of the level of complexity) of a given phenomena but it can be an indicator of various geological, hydrological and physical processes that influenced the development of the cave . The method can be applied to other phenomena in the karst. Some studies (not related to Croatia) were published in the scientific literature. Introducing students to this topic actually introduce them into the current scientific method, or teach them some of the basic concepts of scientific research: methods of investigation, selection of phenomena under study, analysis and interpretation. In this context, this project task can have a broader framework. The role of this work is that the teachers can understand that scientific analysis of complex phenomena in nature does not have to be so complex and it can be with the proper tools presented to students.

• Keywords: projektna nastava; fraktalna analiza; prirodne pojave u kršu
• Keywords (english): project-based learning; fractal analysis; natural phenomena in karst
• Language: croatian
• URN:NBN: urn:nbn:hr:217:373230
• Study programme: Title: Mathematics and Physics Education; specializations in: Mathematics and Physics Education; Course: Mathematics and Physics Education; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-03-28 10:49:38