In 1881, Donald MacAlister posed a problem in the "Educational Times" that remains relevant today. The problem centers on the statistical evidence for the effectiveness of a treatment based on a comparison between two proportions. A brief historical sketch is followed by a discussion of two default Bayesian solutions, one based on a…

This paper considers the responses of 115 school students to two problems based on information provided in two-way tables. In each case the question asks if one of the variables involved depends on the other. Contextual knowledge might suggest a dependent relationship in both but in one problem the data show independence while in the other the…

This study evaluates the effects of an intervention aimed at improving representational flexibility in linear-function problems. Forty-nine students aged 13-16 participated in the study. A pretest-intervention-posttest design with an experimental and control group was used. At pretest, both groups solved a choice test, where they could freely…

This paper reports on a study of the administrative behavior of school principals made through direct observation and a set of unique categories. Study objectives were to describe (1) the sources of principals' problems, (2) the principals' initial reactions to problem stimuli, (3) the patterns of principals' decisionmaking, (4) the premises…

Proposes sports statistics as a source of interesting and motivating problems for algebra students. Examines the possible solutions to a problem involving winning percentages in baseball. (MDH)

Describes a study which analyzed problem solvers' error detection processes by instructing subjects to think aloud when solving statistical problems. Effects of evaluative episodes on error detection, detection of different error types, error detection processes per se, and relationship of error detection behavior to problem-solving proficiency…

Describes a study conducted at the University of Southern Queensland (Australia) that investigated problem-solving behavior in statistics by documenting differences between successful and unsuccessful students. Two methodological approaches are described: one required students to identify key structural features of common problems, and the second…

To study how the organization of information affects the way that information is interpreted, a total of 404 undergraduates in two studies (151 and 253 students, respectively) solved statistical reasoning problems based on data presented in a variety of types of graphs and tables. When assessing relative probabilities, students were equally…

Discusses how students generate meanings for mathematical word problems, develops a generative predicational model to account for students' comprehension of word problems, and describes an empirical study of Israeli sixth graders that was designed to test the model. Talk aloud protocols of the students are analyzed, and hypotheses tested are…

This study investigated the degree to which seventh- and eighth-grade students of different abilities acquired strategic planning knowledge from a problem-solving computer game called Wumpus. Regression analysis was used to determine the influences of individual differences and either activating or modeling instruction, and to assess transfer of…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

Eighty ninth graders who solved an algebra problem in groups of four showed status effects at the individual level. The students had filled out preactivity questionnaires about mathematical status and social status and a postactivity leadership questionnaire. Hierarchical regressions and path analyses show that, at the group level, solution score…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…