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delMas, Robert C.; Bart, William M. – Focus on Learning Problems in Mathematics, 1989
Investigated are three misconceptions of probability and the differential effect of two activity-based instructional units. Response categories (law of averages, law of small numbers, and availability) are identified. Treatment differences (evaluation or no evaluation) appear to influence subjects' interpretations of the information. (YP)
Descriptors: Achievement Tests, Cognitive Structures, College Mathematics, Higher Education
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
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