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Teppo, Anne R.; Hodgson, Ted – Mathematics Teacher, 2001
Outlines several recommendations for teaching probability in the secondary school. Offers an activity that employs simulation by hand and using a programmable calculator in which geometry, analytical geometry, and discrete mathematics are explored. (KHR)
Descriptors: Biology, Graphing Calculators, Instructional Materials, Interdisciplinary Approach
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Hylton-Lindsay, Althea Antoinette – Mathematics Teaching in the Middle School, 2003
Presents a problem-solving activity, the birth order problem, and several solution-seeking strategies. Includes responses of current and prospective teachers and a comparison of various strategies. (YDS)
Descriptors: Geometry, Mathematics Activities, Mathematics Instruction, Middle Schools
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Hinders, Duane C. – Mathematics Teacher, 1990
Discusses the use or misuse of statistics or probability in society. Presented are examples from opinion polling, sports, the 1970 draft lottery, and the law. Lists 18 references. (YP)
Descriptors: Data Interpretation, Mathematical Applications, Mathematical Concepts, Mathematical Logic
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Mislevy, Robert J. – Psychometrika, 1994
Educational assessment concerns inference about student knowledge, skills, and accomplishments. Test theory has evolved in part to address questions of weight, coverage, and import of data. Resulting concepts and techniques can be viewed as applications of more general principles for inference in the presence of uncertainty. (SLD)
Descriptors: Bayesian Statistics, Cognitive Psychology, Educational Assessment, Inferences
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Fisher, William P., Jr., Ed.; Wright, Benjamin D., Ed. – International Journal of Educational Research, 1994
This special issue demonstrates the symmetry and rigor of probabilistic conjoint measurement in practical applications in education and other human sciences. Following the opening chapter introducing the theory, other chapters focus on conjoint measurement in testing and student evaluation, standard setting, and the study of behavior and attitude.…
Descriptors: Attitude Measures, Behavior, Educational Assessment, Educational Research
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Granberg, Donald; Brown, Thad A. – Personality and Social Psychology Bulletin, 1995
Examines people's behavior in the Monty Hall Dilemma (MHD), in which a person must make two decisions to win a prize. In a series of five studies, found that people misapprehend probabilities in the MHD. Discusses the MHD's relation to illusion of control, belief perseverance, and the status quo bias. (RJM)
Descriptors: Behavior, Behavior Patterns, Behavioral Science Research, Cognitive Processes
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Markman, Keith D.; And Others – Personality and Social Psychology Bulletin, 1995
Examined the effects of perceived control and close alternative outcomes on counterfactual generation (thoughts of what could have been). Subjects played a "wheel of fortune" game in which they controlled one of two wheels. Results supported the idea that people generate counterfactuals about events over which they have perceived…
Descriptors: Cognitive Processes, Cognitive Structures, Expectation, Individual Power
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Roese, Neal J.; Olson, James M. – Personality and Social Psychology Bulletin, 1995
Examined impact of outcome controllability on counterfactual thoughts (thoughts of what could have been). Two studies showed that outcome controllability affected counterfactual direction: thoughts on how things could have been better were more frequent following controllable outcomes, and thoughts on how things could have been worse followed…
Descriptors: Cognitive Processes, Cognitive Structures, Expectation, Individual Power
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Garfield, Joan – Teaching Statistics, 1995
Summarizes 19 papers presented at the Fourth International Conference on Teaching Statistics held in Morocco, July 1994. Papers presented were in five categories: (1) empirical studies on students' conceptions; (2) theoretical papers on teaching and learning; (3) assessment; (4) using computers in teaching probability and statistics; and (5) data…
Descriptors: Computer Uses in Education, Concept Formation, Data Analysis, Learning Theories
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Litweller, Bonnie H.; Duncan, David R. – Mathematics Teacher, 1992
The on-off settings of a series of eight switches determines the code to open garage doors. Presented are two problems asking the probability that two people would have the same garage door opener code or whether a specific person would have the same code as another person in the neighborhood. (MDH)
Descriptors: Enrichment Activities, Experiential Learning, Learning Activities, Mathematical Applications
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Micale, Biagio – L'Insegnamento Della Matematica e Delle Scienze Integrate, 1992
The history of the journal "Esercitazioni Matematiche" (1921-43) edited by the "Circolo Matematico di Catania" for university students is described. A selection of proposed problems with some of their solutions is reported. (Author)
Descriptors: Calculus, College Mathematics, Foreign Language Periodicals, Higher Education
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Hoijtink, Herbert; Molenaar, Ivo W. – Psychometrika, 1992
The PARallELogram Analysis (PARELLA) model is a probabilistic parallelogram model that can be used for the measurement of latent attitudes or latent preferences. A method is presented for testing for differential item functioning (DIF) for the PARELLA model using the approach of D. Thissen and others (1988). (SLD)
Descriptors: Attitude Measures, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
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Liou, Michelle; Chang, Chih-Hsin – Psychometrika, 1992
An extension is proposed for the network algorithm introduced by C.R. Mehta and N.R. Patel to construct exact tail probabilities for testing the general hypothesis that item responses are distributed according to the Rasch model. A simulation study indicates the efficiency of the algorithm. (SLD)
Descriptors: Algorithms, Computer Simulation, Difficulty Level, Equations (Mathematics)
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Brutlag, Dan – Mathematics Teaching in the Middle School, 1994
Discusses a game to present middle-grade students that involves both choice and chance to help them understand the significance and usefulness of mathematical probability. Discusses winning versus self-improvement and provides a student worksheet to help students in thinking about the game. (MKR)
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Estimation (Mathematics), Games
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Estes, William K. – Psychological Review, 1994
This essay introduces a series of studies developing a statistical theory of elementary learning processes. An attempt is made to derive relations among commonly used measures of behavior and quantitative expressions describing simple learning phenomena. Laws of the theory state probability relations between momentary changes in behavioral and…
Descriptors: Behavior Patterns, Behavioral Science Research, Change, Conditioning
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