Trigonometrija u GeoGebri i njena primjena u nastavi matematike

master's thesis

• Author: Maja Marasović
• Mentor: Goran Igaly (mentor)
• Committee member: Goran Igaly (predsjednik povjerenstva)
• Committee member: Ivica Nakić (član povjerenstva)
• Committee member: Tomislav Berić (član povjerenstva)
• Committee member: Luka Grubišić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-09-25, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu dan je prikaz trigonometrije u GeoGebri u drugom i trećem razredu srednje škole. Kako većini učenika trigonometrijske funkcije koje se poučavaju u trećem razredu predstavljaju veliki problem, upravo je na to gradivo u radu stavljen fokus. U prvom dijelu rada kroz postojeći i predstojeći kurikulum se trigonometriju smješta u razrede ovisno o fondu sati u pojedinim srednjim školama. Predstavlja se trigonometrija kroz povijest, daje se kratak uvid u poučavanje trigonometrije nekad i danas, a zatim se ističu GeoGebrine karakteristike, e-udžbenik i GeoGebra grupa. U drugom dijelu rada se uz pomoć GeoGebre obrađuju trigonometrijski omjeri iz drugog razreda te su opisani neki od glavnih GeoGebrinih alata poput klizača, potvrdnog okvira i teksta koji su se u radu najčešće upotrebljavali. Nakon toga se daje opis e-udžbenika Trigonometrijske funkcije u kojem se obradio veći dio trigonometrije trećeg razreda. U radu je opisano kako se pojedini apleti u e-udžbeniku koriste, koja je njegova svrha u nastavi te kako se njime mogu služiti nastavnici i učenici u školi i izvan nje. Na kraju poglavlja je opisan primjer nastavnog sata Grafovi funkcija sinus i kosinus obrađenog u GeoGebri putem e-udžbenika izrađenog za taj sat. Ovaj rad je primjeren nastavnicima koji žele poučavanje trigonometrije predstaviti na drugačiji način. Raznim animacijama, videima i kvizovima može potaknuti učenikovo zanimanje za predmet, navesti učenika na samostalno učenje i istraživanje, stvoriti pozitivniji stav učenika prema matematici te pokazati kako matematika ne mora biti teška i da može biti izrazito zanimljiva.

Abstract (english)

This graduate thesis gives a presentation of trigonometry in GeoGebra in the second and the third grade of secondary school. Since the trigonometric functions taught in the third grade represent a problem for most students, they are put in the focus of this thesis. In the first part of the thesis, the trigonometry is dealt with within the context of the existing and forthcoming curriculum in classes depending on the classroom timetable in some secondary schools. It also presents trigonometry through history, gives a brief insight into the teaching of trigonometry today and in the end it points out GeoGebra's characteristics, GeoGebraBook and GeoGebra Groups. In the second part the trigonometric ratios of the second grade are dealt with through GeoGebra. It also describes some of the most important GeoGebra tools such as sliders, checkboxes and texts which were most frequently used in the thesis. This is followed by a description of the GeoGebraBook Trigonometrijske funkcije in which most of the trigonometry of the third grade is processed. The thesis describes how some applets are used in GeoGebraBook, the purpose of GeoGebra in teaching and how it can be used by teachers and students, in and outside the school. At the end of the chapter, there is an example of a teaching lesson Sine and Cosine Graphs processed in GeoGebraBook created specifically for that lesson. The thesis is suitable for lecturers who want to approach teaching trigonometry in a different way. Various animations, videos, and quizzes can inspire students' interest in the subject, encourage students to study and research independently, create a positive attitude towards maths and show it doesn’t have to be difficult and it can even be extremely interesting.

• Keywords: GeoGebra; nastava matematike; srednja škola; trigonometrija; trigonometrijske funkcije; grafovi funkcija
• Keywords (english): GeoGebra; teaching mathematics; high school; middle school; trigonometry; trigonometric functions; function graphs
• Language: croatian
• URN:NBN: urn:nbn:hr:217:621352
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-06-05 12:54:27