Naslov
Students’ understanding of the interplay between geometry and algebra in multidimensional analysis: representations of curves and surfaces

Autori
Bašić, Matija ; Milin Šipuš, Željka

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 11th Congress of European Society for Research in Mathematics Education CERME 11 / Jankvist, Uffe Thomas ; van den Heuvel-Panhuizen, Marja ; Veldhuis, Michiel - Utrecht : Freudenthal Group & Freudenthal Institute, Utrecht University, Netherlands and ERME, 2019, 2426-2433

ISBN
978-90-73346-75-8

Skup
11th Congress of European Society for Research in Mathematics Education (CERME 11)

Mjesto i datum
Utrecht, Nizozemska, 05.02.2019. - 10.02.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Transition across university mathematics, multivariable calculus, curve, representation, didactic contract

Sažetak
The aim of the study is to investigate mathematics students’ understanding of geometrical objects such as curves and surfaces in space, when these objects are presented algebraically, that is, by their equations. Flexible use of different representations, in this case geometric and algebraic, as well as the ability to convert between implicit and parametric types of equations, is often assumed as a prerequisite in multivariable calculus. We have performed an in-depth analysis of students’ answers to exam questions to identify types of students’ difficulties in these conversions. However, our results also point to the impact of the didactic contract on students’ productions which possibly prevented students to fully present their understanding.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA