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Using Comparison of Multiple Strategies in the Mathematics Classroom: Lessons Learned and Next Steps
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Durkin, Kelley; Star, Jon R.; Rittle-Johnson, Bethany – ZDM: The International Journal on Mathematics Education, 2017
Comparison is a fundamental cognitive process that can support learning in a variety of domains, including mathematics. The current paper aims to summarize empirical findings that support recommendations on using comparison of multiple strategies in mathematics classrooms. We report the results of our classroom-based research on using comparison…
Descriptors: Comparative Analysis, Mathematics Instruction, Algebra, Problem Solving
The Importance of Prior Knowledge when Comparing Examples: Influences on Conceptual and Procedural Knowledge of Equation Solving
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Rittle-Johnson, Bethany; Star, Jon R.; Durkin, Kelley – Journal of Educational Psychology, 2009
Comparing multiple examples typically supports learning and transfer in laboratory studies and is considered a key feature of high-quality mathematics instruction. This experimental study investigated the importance of prior knowledge in learning from comparison. Seventh- and 8th-grade students (N = 236) learned to solve equations by comparing…
Descriptors: Mathematics Instruction, Mathematics Education, Methods, Prior Learning
Understanding the Development of Flexibility in Struggling Algebra Students
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Newton, Kristie Jones; Star, Jon R.; Lynch, Kathleen – Mathematical Thinking and Learning: An International Journal, 2010
The ability to flexibly solve problems is considered an important outcome for school mathematics and is the focus of this paper. The paper describes the impact of a three-week summer course for students who struggle with algebra. During the course, students regularly compared and contrasted worked examples of algebra problems in order to promote…
Descriptors: Familiarity, Algebra, Mathematics Instruction, Summer Programs