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.…

Describes a class experiment illustrating students' illusions about their own mortality (often referred to as "unique invulnerability"). The students received information, culled from actuarial tables, concerning age and mortality rates. The students consistently overestimated their own age of death even when told they would do so. (MJP)

This report provides an overview of eight experiments on covariation judgment training. Included are a literature review, rationale, and description of the rule-analytic approach used in all experiments. Experiment 1 identified undergraduates' understandings of rule use, finding self-report a poor method for diagnosing sources of error. Experiment…

Although many articles in the education literature recommend how to teach statistics more effectively, there is little published research on how students actually learn statistics concepts. The literature reviewed in this paper indicates a need for collaborative, cross-disciplinary research on how students come to think correctly about probability…

Uses the various strategies involved in baseball to illustrate basic concepts in game theory. Specifically discusses Willie Mays' base-stealing strategy and how it relates to probability and risk. Reminds students that expected results depend on adopted assumptions. (MJP)

In 1980-82, the Second International Mathematics Study (SIMS) was conducted in 20 countries, including Japan. This study was conducted by the International Association for the Evaluation of Educational Achievement (IEA). This paper constitutes a summary of the research relating to the level of mathematics achievement of Japanese students. The…

Based on data obtained from a 1985-86 mail survey of 666 current and former residents of New York State identified from Department of Motor Vehicle lists of licensed drivers, the study examines collective and independent contributions of social and economic bonds, residential preferences, and residential satisfaction on migration expectations of…

This paper illustrates a model of the layperson's reasoning patterns under conditions of uncertainty, the "outcome approach," which was developed from analysis of videotaped problem-solving interviews with 16 undergraduate students. According to the outcome approach, the goal in questions of uncertainty is to predict the outcome of an…

Asserts that traditional approaches to multivariate analysis, including standard linear regression techniques, ignore the special character of count data. Explicates three suitable alternatives to standard regression techniques, a simple Poisson regression, a modified Poisson regression, and a negative binomial model. (MJP)

This issue of the journal contains abstracts and critical comments for 10 published reports on research in mathematics education. The reports concern children's school mobility and achievement, preservice teachers' sources of decisions, spatial visualization in boys and girls, rote versus conceptual emphases in teaching probability, using drawings…

A quasi-experimental design with two experimental groups and one control group was used to evaluate the use of two books in the Quantitative Literacy Series, "Exploring Data" and "Exploring Probability." Group X teachers were those who had attended a workshop on the use of the materials and were using the materials during the…

This study used a logistic probability model to investigate the effects of variables relating student characteristics and institutional factors on the decision to apply to a large land-grant research university. The study used the entire data set from American College Testing (ACT) program test-takers in the fall of 1995 and institutional data on…

The National Assessment of Educational Progress (NAEP) reports on the status and progress of educational achievement in the United States. Based on its surveys, "The Nation's Report Card" provides comprehensive information about what students in the United States can do in various subject areas. The framework for the 1990 mathematics…

Reviewed are 11 studies reported in Dissertation Abstracts International for Social Sciences in 1989. Topics include problem solving, mathematics education, LOGO computer language, implementation of instructional computing, algebra, effects of differential grouping on learning science skills, simulations, and graphing as they relate to the use of…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…