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Powell, Sarah R.; Berry, Katherine A.; Fall, Anna-Maria; Roberts, Greg; Fuchs, Lynn S.; Barnes, Marcia A.
Journal of educational psychology, 07/2021, Volume: 113, Issue: 5Journal Article
The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded prealgebraic reasoning instruction, improved word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or 1 of 2 variants of word-problem intervention. The prealgebraic reasoning component targeted relational understanding of the equal sign as well as standard and nonstandard equation solving. Intervention occurred for 16 weeks, 3 times per week, 30 min per session. Sequential mediation models revealed main effects, in which each intervention condition significantly and substantially outperformed the business-as-usual condition, corroborating prior research on the efficacy of schema word-problem intervention. Yet despite comparable effects on word-problem outcomes between the two word-problem conditions, the process by which effects accrued differed: An indirect path via equal-sign understanding and then equation solving was significant only for the word-problem intervention condition with embedded prealgebraic reasoning instruction. Additionally, the effect of this condition on equal-sign reasoning was strong. Given the link between equal-sign reasoning for success with algebra and the importance of algebra for success with advanced mathematics, results suggest an advantage for embedding prealgebraic reasoning instruction within word-problem intervention. Educational Impact and Implications Statement This study suggests prealgebraic reasoning is important within math word-problem instruction for third-grade students who experience difficulty with math. Prealgebraic reasoning involves interpreting the equal sign as "the same as" and solving equations (e.g., 3 + __ = 9 or 7 = 13 − __). As students develop strong prealgebraic reasoning, they are better equipped to solve word problems.
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