20.500.12556/DKUM-21981 AKTIVNOSTI Z MÖBIUSOVIM TRAKOM PRI POUKU MATEMATIKE Activities with Möbius strip in mathematics classroom V teoretičnem delu diplomskega dela smo na kratko opisali Van Hielejeve stopnje geometrijskih predstav, poučevanje geometrije, pregledali definicije vzporednosti glede na starost učencev ter analizirali, kako je relacija vzporednost zastopana v učnem načrtu. Posebej smo predstavili evklidsko in neevklidsko geometrijo. Podrobneje smo predstavili Möbiusov trak, njegove lastnosti in umestitev v področje geometrije. V empiričnem delu smo predstavili raziskavo, ki smo jo izvedli s trinajstimi učenkami devetega razreda osnovne šole Janka Glazerja Ruše. Namen diplomske naloge je bil v praksi preveriti učinkovitost ene izmed aktivnosti predstavljene v knjigi »Dogodivščine v deželi matematičnih čudes«. Zanimalo nas je tudi, kakšno je bilo njihovo predhodno poznavanje koncepta vzporednosti, ter ali je prišlo do spremembe v znanju po izvedeni učni uri, pri kateri smo uporabili aktivnosti povezane z Möbiusovim trakom. Želeli smo ugotoviti kakšno je razmišljanje učenk in napovedovanje rešitev v zvezi z izbrano aktivnostjo, prav tako pa nas je zanimalo, kakšen odnos imajo učenke do matematike. Podatke vezane na odnos učenk do matematike smo zbrali z anketnim vprašalnikom. Pri raziskovanju so bile uporabljene deskriptivna, kavzalno-neeksperimentalna in kavzalno-eksperimentalna metoda pedagoškega raziskovanja. Izvedli smo učno uro na temo Möbiusov trak, pri kateri so se učenke na drugačen pristop, skozi igro, srečale z omenjenim objektom. Učna ura je bila načrtovana tako, da so bile učenke ves čas zelo dejavne in motivirane. Rezultati na finalnem testu so pokazali, da imajo vse učenke razvit pojem vzporednosti premice. Z vprašalnikom smo ugotovili, da imajo učenke dokaj pozitiven odnos do matematike. Prepričane so, da v vsakdanjem življenju vsakdo potrebuje matematiko, saj nas le ta uči vztrajnosti in doslednosti. Čeprav gre za dobre učenke matematike, se matematiko nerade učijo in se v prihodnosti izogibajo poklicev, pri katerih je matematika potrebna. Rezultati so nam pokazali, da učenkam manjka motivacije tako za učenje kot za prihajanje k učnim uram matematike. In the theoretical part we have short description of Van Hiele levels of presented in detail Möbiusov strip, its features and its placement in the field of geometry. In the empirical part we presented a research that we performed on thirteen ninth-grade pupils from Janko Glazer Ruše Elementary School. A aim of diploma is examine efficiency one of activities in book A day's adventure in math wonderland. We were interested in difference of their earlier knowledge on parallelism and if there where a change in knowledge after our lesson, where we used activities connected to Möbius strip. We wanted to determine how do these pupils think and predict solutions concerning of selected activities, and we were also interested in their relationship to mathematics. We collected data concerning relationship of pupils to mathematics with survey questionnaire. In research we used descriptive, non-experimental causal and experimental causal method of pedagogical research. We carried out a lesson on the topic Möbius strip, where pupils encountered mentioned strip with a different approach, trough play. Lesson was planned so the pupils were very active and motivated all the time. Results on the final test showed that all pupils assimilated the concept of parallel line. We found with questionnaire that pupils have rather positive relation to mathematics. They are certain that everybody need mathematics in everyday life, because it teaches us persistency and consistency. Even though these were good pupils of mathematics; they are reluctant to learning it and are avoiding occupations in the future, where mathematics is very important. Results showed us that pupils lack motivation for learning as well as for coming to lessons of mathematics. geometrijske predstave evklidska geometrija neevklidska geometrija vzporedne premice Möbiusov trak geometry geometric thinking euclidean geometry non-euclidean geometry parallel straight line Möbius strip true true false [F. Krampl] Slovenski jezik Angleški jezik Diplomsko delo 2012-01-30 20:56:52 2012-02-27 14:37:03 2022-04-14 11:03:33 2023-12-28 03:34:14 2012 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 18944264 URN:SI:UM:DK:F5GRWVOB UNI_Krampl_Florjanja_2012.pdf UNI_Krampl_Florjanja_2012.pdf 1 622C50D607594691DB1E5D47A5786BCB b5a1d28f1f8cfac255f4f30152cc839f7ffe69c7fb6a922ee29bf7fdc28ebfc0 f3ad8df4-7c05-11eb-bb7a-00155d0001ca 20.500.12556/dkum/42715c56-dc77-4219-8e9e-b7f86e824f94 https://dk.um.si/Dokument.php?lang=slv&id=28158 Fakulteta za naravoslovje in matematiko 0 0 0