Linear Functions and Slope: How Do Students Understand These Concepts and How Does Reasoning Support Their Understanding?

摘要: Abstract The aim of this study was to investigate eighth grade students’ conceptual understanding and types reasoning about linear functions slope. This is a mixed method study. Quantitative data were collected with algebra test, qualitative using clinical interviews. participants for the quantitative part included 103 students, 10 students selected from these who high middle achievers. assessed based on answer key, their frequency scores calculated interpreted, too. Qualitative analyzed thematic analysis. majority counted superficial knowledge slope, they mainly stuck slope formula line equation, did not possess correct types. They also need improve use interpretation multiple representations. Key words: understanding; mathematics education; school students. --- Sažetak Cilj ovog istraživanja jest ispitati konceptualno razumijevanje ucenika osmog razreda, nacine razmisljanja o linearnim funkcijama i nagibu pravca. U istraživanju se koristila mjesovita metoda. Kvantitativni podatci prikupljali su s pomocu testa iz algebre, kvalitativni klinickih intervjua. kvantitativnom dijelu sudjelovala ucenika, u kvalitativnom koji bili odabrani između ta imali visoku srednju razinu postignuca. procijenjeni na temelju liste tocnih odgovora, također izracunate interpretirane frekvencije za te odgovore. Vecina racunala je povrsno znanje pravca uglavnom pridržavali koeficijent smjera jednadžbe pravca, nisu ovladali ispravnim vrstama razmisljanja. Također bilo potrebno popraviti nacin koriste raznovrsnim prikazima interpretiraju ih. Kljucne rijeci: razumijevanje; nastava matematike; ucenici osnovne skole.