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Carlson, Marilyn; Jacobs, Sally; Coe, Edward; Larsen, Sean; Hsu, Eric – Journal for Research in Mathematics Education, 2002
Develops covariational reasoning and proposes a framework for describing mental actions when interpreting and representing dynamic function events. Investigates calculus students' ability to reason about covarying quantities in dynamic situations. Suggests that curriculum and instruction should emphasize moving students to a coordinated image of…
Descriptors: Calculus, Cognitive Development, Curriculum Development, Higher Education
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Williams, Steven R. – Journal for Research in Mathematics Education, 1991
A study documented 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Encouragement by the researchers for the students to change their common informal models of limit to more formal conceptions were met with extreme resistance. (Author/JJK)
Descriptors: Calculus, Cognitive Development, Cognitive Structures, College Mathematics
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Fuson, Karen C., Ed.; And Others – 1979
Eleven research reports in the area of models of learning mathematics are presented in this publication of the Mathematics Education Reports series. The papers represent a mixture of theories, viewpoints, and references to other areas. Content areas addressed range from preschool to college levels. All the papers are concerned with the learning of…
Descriptors: Algebra, Cognitive Development, Concept Formation, Elementary Secondary Education
Phillips, Gary W.; Grodsky, Milton – 1985
The decision making processes of children in a probabilistic environment were studied within the context of the theory of signal detection (TSD). The relationship between the age of the child and his ability to revise decision criteria was examined, as well as the appropriateness of TSD measures and methodology with children. It was hypothesized…
Descriptors: Age Differences, Bayesian Statistics, Cognitive Development, Cognitive Measurement
Becker, Joanne Rossi, Ed.; Pence, Barbara J., Ed. – 1993
This two-volume document provides the proceedings of a conference on the psychology of mathematics education. Plenary session themes were "Diversity and Equity," (with papers by Gilah Leder; Walter Secada; and Ubiratan D'Ambrosio), "Teacher Education," (with a paper by Thomas Cooney), and "Technology" (with papers by…
Descriptors: Algebra, Alternative Assessment, Beliefs, Cognitive Development