Metodički pristupi množenju višeznamenkastih brojeva dvoznamenkastim brojem

master's thesis

• Title (english): Methodical approaches to multiplying multi-digit numbers by a two-digit number
• Author: Anđela Topić
• Mentor: Goran Trupčević (mentor)
• Committee member: Lana Jurčec (predsjednik povjerenstva)
• Committee member: Goran Trupčević (član povjerenstva)
• Committee member: Staša Kukulj (član povjerenstva)
• Granter: University of Zagreb; Faculty of Teacher Education; Zagreb
• Defense date and country: 2023-09-28, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Interdisciplinary Natural Sciences; Teaching Methods in the Natural Sciences
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Matematika kao i ostali nastavni predmeti nastoji uvesti promjene u pristup učenju matematičkih sadržaja, a kako ljudi nisu skloni mijenjanju navika, pojavljuju se krive pretpostavke. Kako bi učenici mogli riješiti određeni matematički problem, potrebne su im upute, pravila ili algoritmi. Posebno je važno naglasiti da korištenje algoritama ne smije biti svedeno na učenje pravila napamet bez razumijevanja jer tako učenici ne znaju objasniti zašto rabe određeni postupak u rješavanju problema. Sve se više govori o učenju s osjećajem za brojeve koje se nastoji maksimalno primijeniti u nastavi matematike. Učenje s osjećajem za brojeve ne potiče učenike na izbjegavanje algoritama, koji su iznimno važni za matematiku, no potiče učenike da ih istražuju i koriste s razumijevanjem te da, ako mogu, osmisle i neke vlastite strategije. Kao i za svaki matematički sadržaj, poželjno je da učitelj poznaje načela početne nastave matematike te da uz njihovu pomoć prilagodi sadržaje učenicima kako bi ih oni što uspješnije svladali. Nakon što su učenici savladali osnovno množenje, prelazi se na množenje višeznamenkastih brojeva. Postoje različite metode i pristupi množenju višeznamenkastih brojeva. Ovaj diplomski rad donosi prikaz pojmova potrebnih za razumijevanje metodičkog pristupa množenju te raznolike primjere u kojima se prikazuju pristupi množenju višeznamenkastih brojeva dvoznamenkastim brojem iz hrvatskih, ali i stranih matematičkih udžbenika i priručnika.

Abstract (english)

Mathematics, like other subjects, tries to introduce changes in the approach to learning mathematical content, and since people are not inclined to change their habits, wrong assumptions appear. In order for students to be able to solve a certain mathematical problem, they need instructions, rules or algorithms. It is especially important to emphasize that the use of algorithms should not be reduced to learning the rules by heart without understanding, because in this way students do not know how to explain why they use a certain procedure in solving problems. There is more and more talk about learning with a sense of numbers, which is tried to be maximally applied in mathematics lessons. Learning with number sense does not encourage students to avoid algorithms, which are extremely important to mathematics, but it does encourage students to explore and use them with understanding, and to devise some strategies of their own if they can. As with any mathematical content, it is desirable that the teacher knows the principles of elementary mathematics teaching and with their help adapts the contents to the students so that they can master them as successfully as possible. After students have mastered basic multiplication, they move on to multiplying multi-digit numbers. There are different methods and approaches to multiplying multi-digit numbers. This diploma thesis presents the concepts necessary for understanding the methodical approach to multiplication and various examples in which approaches to multiplying multi-digit numbers by two-digit numbers from Croatian and foreign mathematics textbooks and manuals are presented.

• Keywords: množenje; algoritmi; učenje s razumijevanjem; metodički pristupi množenju višeznamenkastih brojeva dvoznamenkastim brojem
• Keywords (english): multiplication; algorithms; learning with understanding; methodical approaches to multiplying multi-digit numbers by a two-digit number
• Language: croatian
• URN:NBN: urn:nbn:hr:147:536871
• 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; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra primarnog obrazovanja (magistar/magistra primarnog obrazovanja)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2023-10-06 11:30:57