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Johnson, Heather L. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
This paper addresses how secondary students might reason about amounts of change in covarying quantities. Two empirically based forms of covariational reasoning are distinguished. The first form-- reasoning about quantities as varying simultaneously and independently--supports tandem comparison of amounts of change. The second form--coordination…
Descriptors: Secondary School Students, Mathematics Skills, Algebra, Abstract Reasoning
Larson, Carol Novillis; Choroszy, Melisa N. – 1985
Described is the mathematics achievement of 391 elementary education majors at the University of Arizona. Students were administered two subtests of the California Achievement Test: the Mathematics Computation Subtest and the Mathematics Concepts and Application Subtest. The CAT was administered in a non-standard manner. Students were allowed…
Descriptors: Academic Achievement, College Mathematics, Computation, Education Majors
Cai, Jinfa – 1997
Cross-national studies in mathematics have consistently reported that U.S. students do not perform as well as Asian students on tasks requiring the application of mathematical knowledge and skills routinely learned in school. Recent studies have shown, however, that for tasks assessing relatively novel and complex problem solving, performance…
Descriptors: Comparative Education, Computation, Elementary School Mathematics, Foreign Countries
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Lave, Jean – Anthropology and Education Quarterly, 1985
Introduces a collection of papers presented at a symposium on the situationally-specific character of problem-solving practices. Reports that findings provoke speculation about relations among social contexts, knowledge and activity, and relations between school-learned problem-solving techniques and those used in other settings. (KH)
Descriptors: Arithmetic, Cognitive Style, Computation, Context Effect
Ben-Chaim, David; Fey, James; Fitzgerald, William; Benedetto, Catherine; Miller, Jane – 1997
Contemporary constructivist views of mathematical learning have encouraged curriculum developers to devise instructional materials that help students build their own understanding and procedures for doing rational number computations, solving proportions, and applying those skills to real and whimsical problems. The Connected Mathematics Project…
Descriptors: Computation, Constructivism (Learning), Curriculum Development, Junior High Schools
Kaplan, Rochelle G. – 1990
This study examines the relationship between children's procedural and conceptual understanding of mathematics and their accuracy in reporting and interpreting geography text material containing mathematical information. It was hypothesized that (1) children's misconceptions or lack of experience with particular mathematical content areas would be…
Descriptors: Computation, Concept Formation, Curriculum Development, Elementary School Mathematics