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Fischbein, Efraim; Schnarch, Ditza – Journal for Research in Mathematics Education, 1997
Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)
Descriptors: Age Differences, Cognitive Structures, Concept Formation, Elementary Secondary Education
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

Lecoutre, Marie-Paule – Educational Studies in Mathematics, 1992
Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…
Descriptors: Cognitive Processes, Cognitive Structures, Cognitive Style, Mathematical Concepts
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
Konold, Clifford – 1988
One of the most common misconceptions about probability is the belief that successive outcomes of a random process are not independent. This belief has been dubbed the "gambler's fallacy". The belief that non-normative expectations such as the gambler's fallacy are widely held has inspired probability and statistics instruction that attempts to…
Descriptors: Cognitive Structures, Computer Uses in Education, Concept Formation, Curriculum Development

Fischbein, Efraim; And Others – Educational Studies in Mathematics, 1991
To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…
Descriptors: Cognitive Structures, Cognitive Style, Comprehension, Concept Formation