On the connection between basic mental models and the understanding of equations

Basic mental models (BMMs) of equations have been proposed as structures describing conceptual understanding of equations. Two of these BMMs are those of equations as relations and equations as objects. We are interested in the relation between these BMMs and special errors associated with working with equations. In this study we concentrate on very basic equations in the form of a ∙ x = b and a + x = b. We are interested in obstacles, errors and misunderstandings concerning these prototypes of equations. An empirical investigation shows that two types of errors, the reversal error and the attribute error, are statistically related to the BMMs students have established.

Metadaten
Author:	Reinhard Oldenburg ORCiD GND, Hans-Georg Weigand
URN:	urn:nbn:de:bvb:384-opus4-1084497
Frontdoor URL	https://opus.bibliothek.uni-augsburg.de/opus4/108449
URL:	https://pme46.edu.haifa.ac.il/conference-schedule/conference-proceedings
ISBN:	978-965-93112-4-8OPAC
ISSN:	0771-100XOPAC
Parent Title (English):	Proceeding of the 46th Conference of the International Group for the Psychology of Mathematics Education, July 16 – 21, 2023, Haifa, Israel, volume 3
Publisher:	University of Haifa
Place of publication:	Haifa
Editor:	Michal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
Type:	Conference Proceeding
Language:	English
Date of Publication (online):	2023/10/17
Year of first Publication:	2023
Publishing Institution:	Universität Augsburg
Release Date:	2023/10/17
First Page:	3-427
Last Page:	3-434
Institutes:	Mathematisch-Naturwissenschaftlich-Technische Fakultät
	Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
	Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Didaktik der Mathematik
Dewey Decimal Classification:	5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):	Deutsches Urheberrecht

Open Access