Title Zadatci otvorenog tipa u razrednoj nastavi matematike Title (english) Open-Ended Tasks In Primary Mathematics Education Author Helena Hrman Mentor Dubravka Glasnović-Gracin (mentor)Mentor Matea Gusić (sumentor)Committee member Ivana Nikolić (predsjednik povjerenstva)Committee member Dubravka Glasnović-Gracin (član povjerenstva)Committee member Matea Gusić (član povjerenstva)Granter University of Zagreb Defense date and country 2021-07-07, Croatia Scientific / art field, NATURAL SCIENCES Scientific / art field, NATURAL SCIENCES Abstract Tema ovog diplomskog rada su Zadatci otvorenog tipa u razrednoj nastavi matematike.
U radu se najprije uvodi pojam matematičkog zadatka i dotiče se njegovih podjela koje ovise o istaknutom aspektu zadatka. Opisuju se i obilježja tradicionalne i moderne nastave, čija je glavna razlika da moderna nastava ne stavlja naglasak na ono što učenici znaju, već poziva na napuštanje takvog jednostranog pogleda na postavljeni problem. Moderna nastava gleda na znanje kao na individualni konstrukt pojedinog učenika proizašao iz doticaja s okolinom. U takvom nastavnom procesu teži se stvaralaštvu, rješavanju problema, razvoju učenikove inovativnosti, poduzetnosti i kritičkoga mišljenja. Navedenim težnjama idealno odgovara otvoreni tip zadatka koji posjeduje brojne prednosti i doprinosi nastavi matematike. Upravo su otvoreni tip zadatka i njegove podjele fokus ovog rada, a opisuju se i strategije kreiranja zadataka otvorenog tipa, kao i strategija otvaranja zadataka zatvorenog tipa.
Istraživački dio ovog rada odnosi se na analizu matematičkih udžbenika 4. razreda razredne nastave. Cilj istraživanja bio je uočiti zastupljenost zadataka otvorenog tipa u odnosu na zatvoreni tip. U pet različitih matematičkih udžbenika gledala se domena C koja se odnosi na oblik i prostor. Detektirani zadatci otvorenog tipa, klasificirani su prema trodimenzionalnom instrumentu koji obuhvaća vrstu zadataka otvorenog tipa, zadatke otvorenog tipa s obzirom na cilj ili svrhu te zadatke otvorenog tipa prema glavnoj aktivnosti. Rezultati istraživanja pokazali su da su u udžbenicima za 4. razred razredne nastave, sastavljanima prema Kurikulumu za nastavni predmet matematike, zadatci otvorenog tipa u domeni C izrazito slabo zastupljeni.
Posljedično, na kraju rada, ponuđeni su primjeri zadataka otvorenog tipa za 4. razred osnovne škole.
Abstract (english) The topic of this thesis is Open-ended tasks in primary mathematics education. The thesis first deals with the notion of a mathematical problem and discusses its categorization depending on the prominent aspect of the problem. The characteristics of traditional and modern teaching are described as well, the main difference being that modern teaching does not emphasize what students already know but calls for the abandonment of such one-sided view of the problem. In modern teaching knowledge is perceived as an individual construct of each student resulting from their contact with the environment. The aim of that kind of a teaching process is to create, solve problems, develop student's innovation, entrepreneurship, and critical thinking. Open-ended tasks are ideal to fulfill these aims because there are many advantages which contribute to the teaching of mathematics. Open-ended task and its categorization are the focus of this thesis, and the strategies for creating an open-ended task are described, as well as the strategy for opening a closed type of task.
The research part of this thesis refers to the analysis of the 4th grade mathematics textbooks. The research aimed to investigate the presence of open type tasks in comparison with closed type tasks. Domain C, referring to form and space, was observed in five different mathematical textbooks. Open-ended tasks found in the textbooks are classified according to a three-dimensional instrument which includes: the type of open-ended tasks, open-ended tasks with regard to a goal or a purpose, and open-ended tasks with regard to the main activity. The results of the research showed that open-ended tasks in the C domain are extremely poorly represented in the 4th grade textbooks which are written according to the mathematics curriculum. Consequently, at the end of the thesis, examples of open-ended tasks for the 4th grade of primary school are offered.
Keywords
matematički zadatak
tradicionalna nastava
moderna nastava
zadatci otvorenog tipa
matematički udţbenici
Keywords (english)
mathematical task
traditional teaching
modern teaching
open-ended tasks
mathematical textbooks
Language croatian URN:NBN urn:nbn:hr:147:455898 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 2021-07-12 10:06:16
