Using Schemas to Model in APOS: The Case of 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%2F25%3A10504338" target="_blank" >RIV/00216208:11320/25:10504338 - isvavai.cz</a>

Result on the web

<a href="http://chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/http://sigmaa.maa.org/rume/RUME27_Proceedings.pdf" target="_blank" >http://chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/http://sigmaa.maa.org/rume/RUME27_Proceedings.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Using Schemas to Model in APOS: The Case of the Differential Calculus of Two-Variable Functions.

Original language description

In this report, we use the Schema portion of Action-Process-Object-Schema (APOS) theory toframe a study of student understanding of the differential calculus of two-variable functions. Theuse of Schemas allows us to obtain a more holistic perspective of students&apos; understanding. Datawas obtained from semi-structured interviews with eleven students. We argue that the APOportion of the theory can give detailed information about specific Schema components but that itdoes not inform about the interrelations between the different components. However, the notionof Schema and its instrumentalization via the notions of genetic decomposition, types of relationsbetween components, and the triad stages of Schema development can provide a morecomprehensive picture encompassing the different components of the differential calculusSchema. The notions of the scope of an instrument and the graph of a Schema are introduced toafford a visual representation of a student&apos;s Schema.

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

2025

Confidentiality

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

Article name in the collection

Research in Undergraduate Mathematics Education

ISBN

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ISSN

2474-9346

e-ISSN

2474-9346

Number of pages

9

Pages from-to

18-26

Publisher name

RUME

Place of publication

USA

Event location

USA

Event date

Feb 27, 2025

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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