Učeničko razumijevanje proporcionalnosti

master's thesis

• Author: Ivana Benković
• Mentor: Ana Sušac (mentor)
• Committee member: Ana Sušac (predsjednik povjerenstva)
• Committee member: Željka Milin-Šipuš (član povjerenstva)
• Committee member: Darko Androić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2017-09-27, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

U ovom diplomskom radu provedeno je istraživanje o učeničkom razumijevanju proporcionalnosti. Radi potrebe istraživanja konstruiran je test koji provjerava učeničko razumijevanje proporcionalnih veličina i operacija s njima. U istraživanju je sudjelovalo 155 učenika, od čega 91 učenik osnovne škole te 64 učenika srednje škole. Zadaci su, nastavnim gradivom, prilagođeni učenicima osmog razreda osnovne škole. Učenici srednjih škola su test riješili s (47 ± 19)% bodova što je bolje od učenika osnovnih škola koji su postigli (38 ± 21)% bodova. Slabi rezultati na ovom testu ukazuju na to da većina učenika, i u osnovnoj i u srednjoj školi, nije dostigla razinu formalnih mislioca, odnosno da većina učenika ne barata multiplikativnim vezama te proporcionalnošću. Uočene su velike razlike u rezultatima kod pojedinih grupa zadataka. Zadaci u kojima se mogu koristiti formule su najbolje riješeni, npr. zadaci u kojima se spominje brzina i gustoća tvari, a zadaci koji se rješavaju zaključivanjem pomoću funkcionalne ovisnosti imaju vrlo nizak broj točnih odgovora (manje od 10%). Rezultati ovog istraživanja mogu pomoći u razumijevanju učeničkih poteškoća te boljem poučavanju proporcionalnosti u nastavi matematike i fizike.

Abstract (english)

In this diploma thesis, a research study on student understanding of proportionality was conducted. For the purpose of the research, a test on student understanding of proportional variables and related operations has been constructed. 155 students participated in the study, of which 91 participants were elementary school students, and 64 participants were high school students. The test items are adjusted for elementary school students, according their curriculum. The test score of a high school students was (47 ± 19) %, which is better than the test score of the elementary school students of (38 ± 21) %. Poor test results indicate that majority of students, in elementary and in high school, did not reach level of formal thinkers, i.e. that majority of students do not understand multiplicative relationships and proportionality. Large differences in results, for different groups of test items, were found. Test items in which students could use formulas are best solved, for example, test items referring to the velocity and density of substance. Test items in which students are supposed to use functional dependence have very low number of correct answers (less than 10%). Results of this research study can help to understand student difficulties and to lead to better teaching of the proportionality in mathematics and physics classes.

• Keywords: proporcionalnost; osnovna škola; srednja škola; nastava matematike; nastava fizike
• Keywords (english): proportionality; elementary school; primary school; high school; middle school; teaching mathematics; teaching physics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:759553
• Study programme: Title: Mathematics and Physics Education; specializations in: Mathematics and Physics Education; Course: Mathematics and Physics Education; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-10-31 09:54:52