Are Physical Experiences with the Balance Model Beneficial for Students' Algebraic Reasoning? An Evaluation of Two Learning Environments for Linear Equations

Autor/inn/en	Otten, Mara; van den Heuvel-Panhuizen, Marja; Veldhuis, Michiel; Boom, Jan; Heinze, Aiso
Titel	Are Physical Experiences with the Balance Model Beneficial for Students' Algebraic Reasoning? An Evaluation of Two Learning Environments for Linear Equations
Quelle	In: Education Sciences, 10 (2020), Artikel 163 (25 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Zusatzinformation	ORCID (Otten, Mara) ORCID (van den Heuvel-Panhuizen, Marja) ORCID (Veldhuis, Michiel)
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2227-7102
Schlagwörter	Mathematics Instruction; Teaching Methods; Algebra; Mathematical Logic; Problem Solving; Elementary School Students; Grade 5; Equations (Mathematics); Pictorial Stimuli; Models; Foreign Countries; Manipulative Materials; Instructional Effectiveness; Netherlands + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematical logics; Mathematische Logik; Problemlösen; School year 05; 5. Schuljahr; Schuljahr 05; Equations; Mathematics; Gleichungslehre; Fantasieanregung; Analogiemodell; Ausland; Hilfsmittel; Unterrichtserfolg; Niederlande
Abstract	The balance model is often used for teaching linear equation solving. Little research has investigated the influence of various representations of this model on students' learning outcomes. In this quasi-experimental study, we examined the effects of two learning environments with balance models on primary school students' reasoning related to solving linear equations. The sample comprised 212 fifth-graders. Students' algebraic reasoning was measured four times over the school year; students received lessons in between two of these measurements. Students in Intervention Condition 1 were taught linear equation solving in a learning environment with only pictorial representations of the balance model, while students in Intervention Condition 2 were taught in a learning environment with both physical and pictorial representations of the balance model, which allowed students to manipulate the model. Multi-group latent variable growth curve modelling revealed a significant improvement in algebraic reasoning after students' participation in either of the two intervention conditions, but no significant differences were found between intervention conditions. The findings suggest that the representation of the balance model did not differentially affect students' reasoning. However, analyzing students' reasoning qualitatively revealed that students who worked with the physical balance model more often used representations of the model or advanced algebraic strategies, suggesting that different representations of the balance model might play a different role in individual learning processes. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01