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ERIC Number: EJ1352820
Record Type: Journal
Publication Date: 2022-Nov
Pages: 15
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1863-9690
EISSN: EISSN-1863-9704
Available Date: N/A
Is a Substitute the Same? Learning from Lessons Centering Different Relational Conceptions of the Equal Sign
Donovan, Andrea Marquardt; Stephens, Ana; Alapala, Burcu; Monday, Allison; Szkudlarek, Emily; Alibali, Martha W.; Matthews, Percival G.
ZDM: Mathematics Education, v54 n6 p1199-1213 Nov 2022
Understanding of the equal sign is associated with early algebraic competence in the elementary grades and equation-solving success in middle school. Thus, it is important to find ways to build foundational understanding of the equal sign as a relational symbol. Past work promoted a conception of the equal sign as meaning "the same as". However, recent work highlights another dimension of relational understanding--a "substitutive" conception, which emphasizes the idea that an expression can be substituted for another equivalent one. This work suggests a substitutive conception may support algebra performance above and beyond a sameness conception alone. In this paper, we share a subset of results from an online intervention designed to foster a relational understanding of the equal sign among fourth and fifth graders (n = 146). We compare lessons focused on a sameness conception alone and a dual sameness and substitutive conception to each other, and we compare both to a control condition. The lessons influenced students' likelihood of producing and endorsing sameness "and" substitutive definitions of the equal sign. However, the impact of the lessons on students' approaches to missing value equations was less clear. We discuss possible interpretations, and we argue that further research is needed to explore the roles of sameness and substitutive views of the equal sign in supporting structural approaches to algebraic equation solving.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link-springer-com.bibliotheek.ehb.be/
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 4; Intermediate Grades; Grade 5; Middle Schools
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: 1824182
Author Affiliations: N/A