Osnovne ideje i didaktički potencijal u logičko-kombinatornim problemima

master's thesis

• Title (english): Basic ideas and didactic potential in logical-combinatorial problems
• Author: Ivana Šćepanović
• Mentor: Matija Bašić (mentor)
• Committee member: Matija Bašić (predsjednik povjerenstva)
• Committee member: Željka Milin Šipuš (član povjerenstva)
• Committee member: Boris Širola (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-09-29, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu opisan je pojam osnovnih ideja čija je svrha ilustracija srži matematičkog pojma ili postupka kroz pridruživanje realnog konteksta. Prikazan je razvoj pojma osnovnih ideja kao temeljnog u njemačkoj didaktici matematike, a njegovi aspekti su ilustrirani kroz niz primjera. Opisan je i proces formiranja osnovnih ideja, pri čemu su naglašene didaktičke odluke nastavnika i aktivnosti učenika. Osim toga, dan je pregled osnovnih pojmova Teorije didaktičkih situacija koja može koristiti pri organizaciji nastavnog sata, a čija je glavna ideja kreiranje didaktičke situacije koja učeniku omogućava izgradnju znanja kroz samostalno istraživanje problema. Naglasak je stavljen na logičko-kombinatorne probleme, njihov didaktički potencijal i osnovne ideje kombinatorike koje omogućavaju njihovo rješavanje. Sve navedeno je ilustrirano kroz niz aktivnosti organiziranih oko klasičnih primjera logičko-kombinatornih problema.

Abstract (english)

This thesis describes the concept of basic ideas (Grundvorstellungen), which purpose is to illustrate the essence of a mathematical concept or process through joining a realistic context. We present the development of the concept of basic ideas as a fundamental in the German subject-matter didactics and illustrate its aspects by series of examples. Also, we describe the process of forming basic ideas, emphasizing the educational choices made by teachers and student activities. In addition, we give an overview of the basic notion of the Theory of didactic situations that can be used in the organization of the lessons, and whose main idea is to create a didactic situation that allows students to build knowledge through independent research of the problem. The emphasis is placed on logical-combinatorial problems, their didactic potential, and the basic ideas of the combinatorics that enable their resolution. All of this we illustrate by series of activities organized around classic examples of logical-combinatorial problems.

• Keywords: njemačka didaktika matematike; Teorija didaktičkih situacija; logičko-kombinatorni problemi
• Keywords (english): Grundvorstellungen; German subject-matter didactics; Theory of didactic situations; logical-combinatorial problems
• Language: croatian
• URN:NBN: urn:nbn:hr:217:747457
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-11-08 10:47:36