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Falk, Ruma; Konold, Clifford – Focus on Learning Problems in Mathematics, 1994
Discusses students' preconceptions of randomness and offers an alternative way to think about the concept using the idea of complexity. That is, the randomness of a sequence can be measured by the difficulty of encoding it. Methods of judging complexity and implications for teaching are discussed. (Contains 30 references.) (MKR)
Descriptors: Concept Formation, Mathematics Education, Mathematics Instruction, Misconceptions
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
Movshovitz-Hadar, N.; And Others – Focus on Learning Problems in Mathematics, 1986
A collection of student distortions, represented by student-invented variations of theorems, are presented. They were drawn from examination papers of 17-year-old students in Israel. (MNS)
Descriptors: Algebra, Concept Formation, Educational Research, Error Patterns
