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Watson, Rex – Teaching Mathematics and Its Applications, 1996
Reports on (n=11) student attempts at 3 combinatorial questions focusing mainly on 3 aspects of strategy: (1) listing; (2) subdivision into cases; and (3) use or misuse of 4 standard formulas. (MKR)
Descriptors: Cognitive Structures, Higher Education, Mathematics Instruction, Probability
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
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