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Facilitating Multiplicative Reasoning Among Third-Grade Students With or at Risk for Mathematics Difficulties

A Pilot Study

Bibliographic Data

ID21349970
AuthorsVictoria Sánchez (0000-0003-3782-5017, Auburn University, AL, USA, corresponding author), Asha K Jitendra (0000-0001-8122-3326, University of California, Riverside), Michael R Harwell (0000-0003-1729-9910, University of Minnesota), Michael Harwell (University of Minnesota, Minneapolis, USA), Barbara Dougherty (University of Hawai’i-Mānoa, Honolulu, USA), Mikaela Pulse (University of California, Riverside), Danielle Zahn (0000-0002-7214-4180, University of California, Riverside)
Year2026
Volume59
Issue4
Pages251-266
Publication date2026-07-01
Open AccessYes
TypeARTICLE
VenueJournal of Learning Disabilities (JOURNAL)
Journal identifiersISSN: 0022-2194 • E-ISSN: 1538-4780
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/00222194251342207
PMID40421649
OpenAlexW4410772783
LanguageEN
Citations received1
References cited41

This study investigated the efficacy of a Tier 2 multiplicative reasoning (MR) intervention designed to help third-grade students at risk for mathematics difficulties (MD) develop conceptual understanding of MR. The MR intervention included opportunities for students to engage in critical thinking as they generalized big ideas, participated in classroom discourse, and modeled multiplicative relationships with multiple representations. Sixteen elementary teachers from a southwestern U.S. school district were randomly assigned to a treatment or control (business-as-usual, BAU) condition. Participants included 86 third-grade students who demonstrated MD. Data analyzed after 6 weeks of instruction revealed statistically significant and nonnegligible differences between conditions on a researcher-developed MR assessment, with posttest differences favoring treatment classrooms. However, treatment was not a significant predictor of the Group Mathematics Assessment and Diagnostic Evaluation posttest scores. Results demonstrated that the MR intervention was on average more effective than the BAU approach in improving students’ ability to reason with multiplicative concepts and procedures

Intervention (counseling) · Mathematics education · Multiplicative function · Cognitive and developmental aspects of mathematical skills · Education Methods and Practices · Mathematics · Mathematics Education and Teaching Techniques · Psychology

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Citations per year1
Citation span2026 - 2026 (1)
Highly citedNo

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