Building on slope: results of a second research cycle on the differential calculus of two-variable functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10494212" target="_blank" >RIV/00216208:11320/24:10494212 - isvavai.cz</a>

Result on the web

<a href="https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf" target="_blank" >https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Building on slope: results of a second research cycle on the differential calculus of two-variable functions

Original language description

This study applies Action-Process-Object-Schema (APOS) theory in a second research cycle investigating how an approach based on the explicit consideration of slope in three dimensions and local linearity contributes to students&apos; learning of the differential calculus of two-variable functions. We compare the problem-solving tendency of students from two sections that were taught differently. We find thatstudents&apos; conceptualizations of slope were different in the two sections and that their understanding of slope was reflected in their problem-solving and the justifications of the relations that they constructed between different basic notions of the differentialcalculus. Overall, we show that the students who based their constructions on slope and local linearity obtained a deeper understanding of the differential calculus.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

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

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Article name in the collection

INDRUM2024 PROCEEDINGS

ISBN

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ISSN

2496-1027

e-ISSN

2496-1027

Number of pages

10

Pages from-to

1-10

Publisher name

Escola Univeristaria Salesiana de Sarria - Univ. Autonoma de Barcelona and INDRUM

Place of publication

Barcelona

Event location

Barcelona, Spain

Event date

Jun 10, 2024

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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