Journal of Educational Psychology · 2015 · 70 citations · 28 references
EducationEducational PsychologyMathematics EducationChild DevelopmentCognitive PsychologyMathematics InstructionCognitive LoadFractions UnderstandingMathematical Learning DifficultiesMathematics InterventionNumber SenseProblem-solving StrategiesCognitive Learning ProcessesControl Group DesignFraction InterventionFraction Problem SolvingFractions TeachingMagnitudes Of NumbersMatched Control GroupWord Problem Intervention
The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multicomponent fraction intervention. Both intervention conditions included 36 sessions, each lasting 35 min. All but 7 min of each session were identical. In the 7-min component, students were taught to provide high quality explanations when comparing fraction magnitudes or to solve fraction word problems. Children were pretested on cognitive variables and pre/posttested on fraction knowledge. On accuracy of magnitude comparisons and quality of explanations, children who received the explaining intervention outperformed those in the word-problem condition. On word problems, children who received the word-problem intervention outperformed those in the explaining condition. Moderator analyses indicated that the explaining intervention was more effective for students with weaker working memory, while the word-problem intervention was more effective for students with stronger reasoning ability. (PsycINFO Database Record (c) 2016 APA, all rights reserved)
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Generative Processes of Comprehension
M. C. Wittrock · Educational Psychologist · 1989 · 930 citations
Early Predictors of High School Mathematics Achievement
Robert S. Siegler, Greg J. Duncan, Pamela Davis‐Kean et al. · Psychological Science · 2012 · 784 citations