Title Teorijski aspekti matematičkog modeliranja u razrednoj nastavi Title (english) Theoetical Aspects Of Mathematical Modelling In Class Schooling Author Jelena Sabljić Mentor Dubravka Glasnović-Gracin (mentor)Mentor Matea Gusić (sumentor)Committee member Blaženka Filipan-Žignić (predsjednik povjerenstva)Committee member Dubravka Glasnović-Gracin (član povjerenstva)Committee member Matea Gusić (član povjerenstva)Granter University of Zagreb Defense date and country 2020-06-19, Croatia Scientific / art field, NATURAL SCIENCES Scientific / art field, NATURAL SCIENCES Abstract Matematičko je modeliranje u nastavi važan proces u kojem učenici usavršavaju procjenu važnih varijabli, međusobnu komunikaciju, razvijaju vlastite modele i stvaraju mnoga nova iskustva. Uvođenje matematičkog modeliranja u razrednu nastavu smatra se korisnim i kvalitetnim u razvoju matematičkih sposobnosti kod učenika. Pomoću zadataka matematičkog modeliranja, učenici percipiraju matematiku kao zanimljiviju i bližu samim učenicima. Prema navedenim razlozima, važno je uvoditi matematičko modeliranje i poticati učenike da razmišljaju izvan tradicionalnih okvira. U radu ćemo opisati što je matematičko modeliranje i kako se provodi matematičko modeliranje u nastavi općenito. Navedene su prednosti i nedostaci uvođenja matematičkog modeliranja u razrednu nastavu. Također, naveden je utjecaj matematičkog modeliranja na učenike, ali i učitelje. Obrazovanje učitelja je, u aspektu matematičkog modeliranja, vrlo slabo razvijeno. Budući da učitelji nisu dovoljno educirani za provođenje matematičkog modeliranja u razrednoj nastavi, učitelji se rijetko odlučuju za provedbu istih s učenicima. U zadacima matematičkog modeliranja često se opisuju stvarni problemi koji su prisutni u učenikovom okruženju. U takvim se zadacima od učenika može očekivati poznavanje i drugih znanosti i područja, osim same matematike. Takvi zadaci mogu biti riješeni na različite načine i pomoću različitih modela, zahtijevaju više vremena, ali i više kreativnosti i rada učenika. Zadaci matematičkog modeliranja provode se najčešće u grupnim radovima te ih je teže vrednovati. Budući da se dobri i kvalitetni zadaci matematičkog modeliranja za razrednu nastavu teško pronalaze i rijetki su, u radu je opisano i objašnjeno nekoliko primjera takvih zadataka. Kao što su zadaci rijetki i teško dostupni, istraživanja o matematičkom modeliranju u nastavi i razrednoj nastavi na području Republike Hrvatske nisu dostupna ili ne postoje te ih je potrebno provoditi. Također, potrebno je dodatno obrazovanje učitelja i pripremanje za rad sa zadacima matematičkog modeliranja.
Abstract (english) Mathematical modelling is important process in teaching in which students improve evaluation of important variables, mutual communication, they develop personal models and create many new experiences. The introduction of mathematical modeling in elementary teaching is considered useful and of high quality in the students’ development of mathematical skills. By using mathematical modelling tasks, students get perception of mathematics as more interesting and closer to them. According to stated points, it is important to introduce mathematical modelling and encourage students to think beyond traditional limits. In this work, we will explain what mathematical modelling is and how to use it in teaching. The benefits and disadvantages of introducing mathematical modelling in classroom teaching were listed. Also, we explained influence of mathematical modelling on students, but also teachers. Teacher’s education is very poorly developed regarding mathematical modelling. Since teachers aren’t educated enough for introducing mathematical modelling into their classrooms, they rarely decide to introduce it to students. In mathematical modelling tasks, real problems are often described, which are present in student’s environment. In such tasks, students may be expected to have knowledge of other sciences and fields other than mathematics itself. These tasks can be solved in different ways and with help of different models, they require more time, but also more creativity and student work. Mathematical modelling tasks are usually performed in groups, and they are difficult to evaluate. Since good and high quality mathematical modelling tasks for elementary teaching are hard to find and are rare, we described and explained few of them in this paper. Since these tasks are rare and not available, studies about mathematical modelling in teaching are not available or they don’t even exist in Republic of Croatia, so it is required to initiate them. Also, additional teacher education and preparation for working with mathematical modeling tasks is required.
Keywords
matematika
modeliranje
učitelj
razredna nastava
obrazovanje
Keywords (english)
mathematics
modelling
teacher
elementary education
education
Language croatian URN:NBN urn:nbn:hr:147:667467 Study programme Title: Integrated Undergraduate and Graduate University Programme of Study of Primary Teacher Education and Integrated Undergraduate and Graduate University Programme of Study for Primary Teacher Education with English and German Language Type of resource Text File origin Born digital Access conditions Open access Terms of use Created on 2020-12-02 10:13:54
