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Peer reviewedWilliams, 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
Peer reviewedFerrini-Mundy, Joan; Gaudard, Marie – Journal for Research in Mathematics Education, 1992
This study investigated the effects of various levels of secondary school calculus experience on performance in first-year college calculus, with focus on student performance on conceptual and procedural exam items. Students who had a year of secondary school calculus differed significantly in performance from those who had either no experience or…
Descriptors: Calculus, College Mathematics, Concept Formation, Higher Education
Peer reviewedHeid, M. Kathleen – Journal for Research in Mathematics Education, 1988
During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Computer Graphics
Peer reviewedSchneider, Maggy – Educational Studies in Mathematics, 1992
Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…
Descriptors: Calculus, Cognitive Processes, Concept Formation, Foreign Countries
Tall, David – Focus on Learning Problems in Mathematics, 1990
Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)
Descriptors: Abstract Reasoning, Calculus, Cognitive Development, Cognitive Dissonance
Download full textSuydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1984
This issue of "Investigations in Mathematics Education" contains: (1) a review of E. Fischbein's book "The Intuitive Sources of Probabilistic Thinking in Children;" (2) nine abstracts of research studies in mathematics education; (3) a list (by EJ number) of mathematics education research studies reported in the January to…
Descriptors: Algebra, Book Reviews, Calculus, Cognitive Processes
