Materjali fail - Matemaatika didaktika

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Summary Dynamic slides for trigonometry Katriin Orason For the leaners trigonometry is one of the most difficult subjects in school maths due to its volume and complexity. Trigonometry is difficult because it is abstract and there are lots of formulas. In order to make the subject more comprehensible, trigonometry has to be made more specific for the learner. It can be done via visualising the terms and links in trigonometry. The main goal of the present Master`s thesis was to compile study material „Dynamic Slides for Teaching Trigonometry“. All slides have been prepared pursuant to subjects of narrow maths trigonometry presented in current public study program. While the slides can also be used wider – to introduce or revise trigonometry in basic or vocational school or university. To prepare the slides the author of the paper has chosen school software program GeoGebra. It is a freeware program, in Estonian, available in the internet and easy to use. Additionally the program can be used either web-based or downloaded in your computer. The choice was supported by the fact that the program is becoming more and more popular with the teachers. The final thesis is divided into two parts: theoretical work and dynamic slides. Theoretical part composes of three chapters. The first chapter explains the place of trigonometry in new maths study program and gives the subjects taught in trigonometry. The second chapter introduces the program GeoGebra and describes some possibilities of GeoGebra used by the author. The third chapter describes the slides made in work process and the opportunities to use them. Each slide is thoroughly described, what are the possibilities to use the slides and how the author sees their usage by a teacher. As practical part of the work there are 13 dynamic slides. All dynamic slides are attached to the electronical part of the Master`s thesis on CD. 32
Kasutatud kirjandus [1] Albe, J. (2008). Dünaamilised slaidid 12. klassi matemaatikaõpiku juurde : magistritöö. Tartu: Tartu Ülikool. http://dspace.utlib.ee/dspace/bitstream/10062/6625/1/albre_jane.pdf (26.05.2011) [2] Albre –Andersen, J. (2009). GeoGebra 3.2 eestikeelne manuaal. http://mott.edu.ee/index.php?option=com_remository&Itemid=28&func=file info&id=177 (26.05.2011) [3] GeoGebra ametlik veebileht. http://www.geogebra.org/ (26.05.2011) [4] Gümnaasiumi riiklik õppekava. (2011) Riigi Teataja I osa. https://www.riigiteataja.ee/akt/114012011002 (26.05.2011) [5] Kaasik, Ü. (2003). <strong>Matemaatika</strong>leksikon. Tartu: AS Atlex, 245. [6] Kariste, K. (2009). Lookuste konstrueerimine dünaamilise geomeetria tarkvarapaketiga GeoGebra: bakalaurusetöö. Tartu: Tartu Ülikool. http://math.ut.ee/~kaido98/Geogebra_bakalaureusetoo/Bakalaureuse_too_Ka ido_Kariste_033.doc (26.05.2011) [7] Koolielu. (2008). Õpilaste motiveerimine, õppemeetodite valiku olulisus. http://arhiiv.koolielu.ee/pages.php/0710,22085 (26.05.2011) [8] Koppel, T. Tiit Koppeli e-materjalid. http://tiitkoppel.webs.com/ (26.05.2011) [9] Kreutzberg, K., Pihlap, S., Tõnisson, E. (2010). GeoGebra instituut – liiga lennukas silt või siiski mitte? - Koolimatemaatika XXXVII. Tartu: Tartu Ülikooli kirjastus, lk. 14-17. [10] Lepmann, L., Lepmann, T., Velsker, K. (2004). Trigonomeetria. – <strong>Matemaatika</strong> 10 klassile. Tallinn: Koolibri, lk. 200 – 287. 33
Page 1 and 2: TARTU ÜLIKOOL MATEMAATIKA-INFORMAA
Page 3 and 4: Sissejuhatus Matemaatikaõpetuse ü
Page 5 and 6: 1. Trigonomeetria asend matemaatika
Page 7 and 8: teisendab kraadimõõdus antud nurg
Page 9 and 10: dus puudub. Selleks tuleb valida li
Page 11 and 12: Vahelehel „Lisavõimalused“ saa
Page 13 and 14: Slaidi avades näeb õpilane kolmnu
Page 15 and 16: 1. Pythagorase teoreemi näitamisek
Page 17 and 18: Joonis 7. Nurga mõiste, positiivne
Page 19 and 20: sandi saab jagada neljaks võrdseks
Page 21 and 22: suuruse väärtusele. Liuguri α ra
Page 23 and 24: Joonis 11. Kolmnurga pindala kahe k
Page 25 and 26: Enne teema juurde asumist saab õpe
Page 27 and 28: le, et selleks on vaja kasutada Pyt
Page 29 and 30: 2. Olles saanud funktsiooni väärt
Page 31: Mis tahes nurga trigonomeetriliste

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