Complexities in university students' understanding of parametric equations and curves

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10476308" target="_blank" >RIV/00216208:11320/22:10476308 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=U_TfCN-mKT" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=U_TfCN-mKT</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/0020739X.2020.1788187" target="_blank" >10.1080/0020739X.2020.1788187</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Complexities in university students' understanding of parametric equations and curves

Popis výsledku v původním jazyce

Despite the importance and many applications that parametric equations and curves have in mathematics and other sciences, there is a lack of research regarding this topic in mathematics education. The goal of this article is to explore university students&apos; understanding of parametric equations and curves based on two lenses: Action, Process, Object, Schema (APOS) and Onto-Semiotic Approach (OSA). Recent research showed that these two theories complement each other and the combination of them has good potential to analyse students&apos; performance of mathematical concepts. Three tasks of parametric equations and curves were proposed to characterize the schema development of twenty-seven university students in terms of triad (i.e. intra, inter and trans). Based on the results, most of the students participating in this study had difficulties regarding the practical tasks and developing the mental structures needed to solve parametric equation tasks, especially the mental structures that have to be made to draw parametric curves and identify their directions, and to compute the first and the second derivatives of parametric equations. Finally, we finish the article by making practical suggestions for instructors and researchers.

Název v anglickém jazyce

Complexities in university students' understanding of parametric equations and curves

Popis výsledku anglicky

Despite the importance and many applications that parametric equations and curves have in mathematics and other sciences, there is a lack of research regarding this topic in mathematics education. The goal of this article is to explore university students&apos; understanding of parametric equations and curves based on two lenses: Action, Process, Object, Schema (APOS) and Onto-Semiotic Approach (OSA). Recent research showed that these two theories complement each other and the combination of them has good potential to analyse students&apos; performance of mathematical concepts. Three tasks of parametric equations and curves were proposed to characterize the schema development of twenty-seven university students in terms of triad (i.e. intra, inter and trans). Based on the results, most of the students participating in this study had difficulties regarding the practical tasks and developing the mental structures needed to solve parametric equation tasks, especially the mental structures that have to be made to draw parametric curves and identify their directions, and to compute the first and the second derivatives of parametric equations. Finally, we finish the article by making practical suggestions for instructors and researchers.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Mathematical Education in Science and Technology

ISSN

0020-739X

e-ISSN

1464-5211

Svazek periodika

2022

Číslo periodika v rámci svazku

0020-739X

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

890-908

Kód UT WoS článku

000547140500001

EID výsledku v databázi Scopus

2-s2.0-85087829947