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Nicole Shechtman; Jeremy Roschelle; Geneva Haertel; Jennifer Knudsen – Cognition and Instruction, 2010
Using data collected in 125 seventh-grade and 56 eighth-grade Texas classrooms in the context of the "Scaling Up SimCalc" research project in 2005-07, we examined relationships between teachers' mathematics knowledge, teachers' classroom decision making, and student achievement outcomes on topics of rate, proportionality, and linear…
Descriptors: Mathematics Instruction, Mathematics Curriculum, Teacher Characteristics, Decision Making
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Ellis, Amy B. – Cognition and Instruction, 2007
This paper reports the mathematical generalizations of two groups of algebra students, one which focused primarily on quantitative relationships, and one which focused primarily on number patterns disconnected from quantities. Results indicate that instruction encouraging a focus on number patterns supported generalizations about patterns,…
Descriptors: Algebra, Teaching Methods, Mathematics Instruction, Mathematical Concepts
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Van Dooren, Wim; De Bock, Dirk; Hessels, An; Janssens, Dirk; Verschaffel, Lieven – Cognition and Instruction, 2005
Previous research (e.g., De Bock, 2002) has shown that--due to the extensive attention paid to proportional reasoning in elementary and secondary mathematics education--many students tend to overrely on proportional methods in diverse domains of mathematics (e.g., geometry, probability). We investigated the development of misapplication of…
Descriptors: Age Differences, Mathematics Education, Arithmetic, Mathematical Concepts