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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
Berenson, Sarah B.; And Others – Focus on Learning Problems in Mathematics, 1990
Assessed was the level of thinking of 140 students who had been placed in developmental algebra as entering college freshmen. Scores on the Group Assessment of Logical Thinking, Scholastic Aptitude Tests, college placement tests; high school grade point average, and developmental algebra final grade were analyzed. Group characteristics are…
Descriptors: Algebra, Cognitive Development, Cognitive Structures, College Freshmen
Reece, Carol Carter; Todd, Robert F. – 1989
This study investigated the propositions that (1) the expressed preference for formal-deductive style of thinking and mathematics anxiety are negatively correlated; (2) the preferred cognitive style is positively correlated with the respondent's self-assessment of mathematical ability; and (3) those expressing a preference for the analyst style of…
Descriptors: Academic Achievement, Cognitive Development, Cognitive Structures, Cognitive Style
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
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