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Chow, Alan F.; Van Haneghan, James P. – Educational Studies in Mathematics, 2016
This study reports the results of a study examining how easily students are able to transfer frequency solutions to conditional probability problems to novel situations. University students studied either a problem solved using the traditional Bayes formula format or using a natural frequency (tree diagram) format. In addition, the example problem…
Descriptors: Probability, College Students, Mathematical Formulas, Bayesian Statistics
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Chernoff, Egan J.; Zazkis, Rina – Educational Studies in Mathematics, 2011
This article is a systematic reflection on a sequence of episodes related to teaching probability. Our central claim is that reducing problems to a consideration of the sample space, which consists of equiprobable outcomes, may not be in accord with learners' initial ways of reasoning. We suggest a "desirable pedagogical approach" in which the…
Descriptors: Mathematics Teachers, Probability, Teaching Methods, Mathematics Instruction
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Francisco, John M. – Educational Studies in Mathematics, 2013
The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…
Descriptors: Probability, Mathematics Education, Cooperative Learning, Mathematics
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Even, Ruhama; Kvatinsky, Tova – Educational Studies in Mathematics, 2010
This paper (1) presents a conceptual framework for analyzing the mathematics addressed in probability lessons and (2) uses the framework to compare the mathematics that two teachers with contrasting teaching approaches addressed in class when teaching the topic of probability. One teaching approach aimed to develop understanding; the other…
Descriptors: Textbooks, Probability, Teaching Methods, Mathematics
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Abrahamson, Dor – Educational Studies in Mathematics, 2009
Design-based research studies are conducted as iterative implementation-analysis-modification cycles, in which emerging theoretical models and pedagogically plausible activities are reciprocally tuned toward each other as a means of investigating conjectures pertaining to mechanisms underlying content teaching and learning. Yet this approach, even…
Descriptors: Undergraduate Students, Models, Research Methodology, Probability
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Kaufman, Burt; Rade, Lennart – Educational Studies in Mathematics, 1973
Descriptors: Instruction, Mathematical Models, Mathematics, Probability
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Hawkins, Anne S.; Kapadia, Ramesh – Educational Studies in Mathematics, 1984
Identifies key questions concerning children's intuitions and conceptions of probabilistic notions. Research on the theoretical framework for probability studies, misconceptions and strategies, and pupil attainment is reviewed, and the methodology is evaluated. Finally, implications for classroom practice are discussed. (MNS)
Descriptors: Educational Research, Learning, Literature Reviews, Mathematics Education
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Castro, Cesar Saenz – Educational Studies in Mathematics, 1998
Presents a theoretical proposal of a methodology for the teaching of probability theory. Discusses the importance of the epistemological approach of Lakatos and the perspective of the conceptual change. Discusses research using a proposed didactic method with Spanish high school students (N=6). Concludes that significant differences on all…
Descriptors: Concept Formation, High Schools, Mathematical Concepts, Mathematics Education
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Fischbein, E.; Gazit, A. – Educational Studies in Mathematics, 1984
The effects of a teaching program in probability devised for students in grades five to seven were analyzed. Most of the notions were too difficult for fifth graders; 60-70 percent of the sixth graders and 80-90 percent of the seventh graders were able to understand and use correctly most of the concepts. (MNS)
Descriptors: Cognitive Processes, Educational Research, Elementary Secondary Education, Mathematical Concepts