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Stylianides, Gabriel J.; Stylianides, Andreas J. – Cognition and Instruction, 2014
Ambitious teaching is a form of teaching that requires a high level of teacher responsiveness to what students do as they actively engage with the subject matter. Thus, a teacher enacting ambitious teaching is often confronted with uncertainties about how to advance students' learning while also building on students' contributions. In…
Descriptors: Teaching Methods, Learner Engagement, Student Needs, Relevance (Education)
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Van Dooren, Wim; De Bock, Dirk; Verschaffel, Lieven – Cognition and Instruction, 2010
This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…
Descriptors: Numbers, Word Problems (Mathematics), Mathematical Logic, Problem Solving
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Bowers, Janet; Cobb, Paul; McClain, Kay – Cognition and Instruction, 1999
Presents a case study of third graders' development of place value conceptions to illustrate an approach for documenting students' mathematical development in the social context of the elementary school classroom. Documents the evolution of communal mathematical practices in which students participate and the development of individual…
Descriptors: Case Studies, Classroom Environment, Classroom Research, Classroom Techniques