Teorija kaosa - pedagoški pripomočki z uporabo apletov

diplomsko delo

Matjaž Črček (Author), Samo Kralj (Mentor)

Abstract

V diplomskem delu bom predstavil izobraževalne numerične simulacije s področja fizike kaosa, ki so prosto dostopne na spletu. Teorija kaosa je bila odkrita po letu 1950 in od takrat naprej se obzorje naravnih pojavov, v katerih igra kaos pomembno vlogo, neprestano širi. Številni pomembni raziskovalci trdijo, da se večina naravnih procesov spontano približuje robu kaosa. Posledično postaja narava vedno bolj "kompleksna" in lahko skladišči več informacij. Teorijo kaosa po pomembnosti postavljajo ob bok relativistične teorije in kvantne mehanike. Njen pomen je predvsem v tem, da dobro opisuje raznovrstne pojave v našem vsakdanjem življenju. Fizika kaosa vsebuje vrsto univerzalnosti. Slednje pomeni, da lahko vrsto povsem različnih fizikalnih sistemov opišemo z isto matematiko. Ob tem je pogosto opaženo obnašanje izjemno robustno in neodvisno od detajlov opazovanega sistema. Kljub izjemnemu pomenu teorije kaosa za razlago pojavov v vsakdanjem življenju je poučevanje na tem področju v srednjih šolah v Sloveniji izjemno pomanjkljivo. Z namenom vpeljave primernega učnega materiala s tega področja za izobraževanje srednješolcev sem v delu na poljuden način predstavil ključne mehanizme kaosa, njegovo terminologijo in pri tem uporabil za ilustracijo obstoječe aplete, ki so prosto dosegljivi na spletu.

Keywords

fizika;teorija kaosa;pedagogika;pripomočki;apleti;univerzalnost;atraktorji;logistične mape;orbitalni diagrami;fraktali;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2011
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[M. Črček]
UDC:	53(043.2)
COBISS:	18833160
Views:	2794
Downloads:	230
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	CHAOS THEORY - PEDAGOGICAL RESOURCES WITH USE OF APPLETS
Secondary abstract:	In this work I will present numerical simulations, which can be easily found on internet, for education of physics in chaos. Chaos theory was discovered after 1950. Since then the horizon of natural phenomena in which chaos plays important role, is getting bigger and bigger. Number of important scientist is claiming that most of natural processes are getting closer to the edge of the chaos. Consequently, nature is becoming more and more "complex" and because of this it can store more information. Chaos theory is as much important as theory of relativity and quantum mechanics. It is important because it describes several natural phenomena which dominate our daily life. Physics of chaos contains several universalities. This enables to establish close mathematical link between seemingly completely different physical systems. Several phenomena in chaos theory are very robust and independent of the details of a system. In Slovenia teaching of chaos theory in secondary school is almost absent despite it is in describing natural phenomena in our everyday life. Because of that I will represent main mechanisms of chaos and "language" of chaos with use of applets which already exist and are freely available on internet.
Secondary keywords:	chaos theory;universality;attractors;logistic maps;orbit diagrams;fractals;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za fiziko
Pages:	57 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;physics;fizika;
ID:	8762093