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Download full textPorter, Mary K.; Masingila, Joanna O. – 1995
This study examined how engaging calculus students in Writing to Learn Mathematics affected the types of conceptual and procedural errors that the students made on their examinations. Students in two sections of an introductory college calculus course in Fall 1994 were the respondents in this study. A classification system was developed that…
Descriptors: Calculus, Cognitive Structures, College Mathematics, College Students
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
Konold, Clifford – 1988
The concept of probability is not an easy concept for high school and college students to understand. This paper identifies and analyzes the students' alternative frameworks from the viewpoint of constructivism. There are various interpretations of probability through mathematical history: classical, frequentist, and subjectivist interpretation.…
Descriptors: Cognitive Processes, Cognitive Structures, College Mathematics, Concept Formation
Borasi, Raffaella; Agor, Barbara – Focus on Learning Problems in Mathematics, 1990
Recent contributions from theory, research, and practice in second-language instruction are discussed in relation to mathematics education. Three methods of teaching and learning second languages are described--"Delayed Oral Production," the "Silent Way," and the "Counseling Learning/Community Language Learning." (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Structures, Cognitive Style
Peer reviewedOtte, Michael – For the Learning of Mathematics, 1990
Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)
Descriptors: Abstract Reasoning, Algorithms, Cognitive Ability, Cognitive Processes
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
Peck, Donald M.; Connell, Michael L. – 1991
Elementary school teacher candidates typically enter their professional training with deficiencies in their conceptual understanding of the topics of elementary school mathematics and with a reliance upon procedural (algorithmic) approaches to the solutions of mathematical problems. If elementary school teacher candidates are expected to teach…
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, College Mathematics
