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…

"Who has been to Dairy Queen® and purchased a Blizzard?®" Ms. Bosetti asked her students. During the summer, Bosetti had seen many of her former and future students at the local Dairy Queen enjoying Blizzard desserts and wondered, "Which Blizzard size is the best value?" She used this context for a ratios and proportions task…

In this action research, first-graders were challenged to cope with a sequence of modelling tasks involving an analysis of given situations and choices of mathematical tools. In the course of the sequence, they underwent a change in the nature of their problem-solving processes and developed modelling competencies. Moreover, during the task…

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…

In solving a problem, how does the subject single out an intermediate hypothesis? When a sequence of hypotheses does not lead to a solution, how does he revise them? Does he give up the entire sequence? Article considered these problems. (Author/RK)

Although partially specified goals are sometimes thought to result from the uncertainties of ill-structured problems, analysis of human problem solving shows that indefinite goals are used in solving problems that are otherwise well structured. The example studied is taken from plane geometry and involves proving that two triangles are congruent.…

A brief review of formative evaluation strategies highlights a number of problems. A model, incorporating an objective thematic and structural analysis technique, is proposed with the aim of removing some of the existing problems. (Editor)

This paper attempted to resolve major methodological and design inadequacies associated with encounter, T-, and sensitivity groups. In addition, it highlighted some issues that have not been sufficiently considered previously. (Author/RK)

The purpose of this study was to formulate a linear programming model to simulate a foundation type support program and to apply this model to a state support program for the public elementary and secondary school districts in the State of Iowa. The model was successful in producing optimal solutions to five objective functions proposed for…

Identifies six needs assessment procedures applied in educational and other organizations, provides examples of how each is used, and discusses the relationship of needs assessment to problem solving. Kaufman's Outcomes Model is described and the Organizational Elements Model is presented as a pragmatic approach to contemporary decision making and…

The times children take to reach correct solutions to seven easy Block Design items from the try-out version of the British Intelligence Scale were analyzed in terms of two regression models. (Editor)

This paper discusses the incorporation of heuristics in computerized decision aids that are used for structuring decision problems. Decision theory is described in terms of linked subsystems, and sites where it is necessary to employ heuristic rather than normative, algorithmic procedures are identified. Production systems are then used to…

Describes the construction of a knowledge representation from the identification of the problem (nephrotic syndrome) to a running computer simulation of causal reasoning to provide a vertical slice of the construction of a cognitive model. Interactions between textbook knowledge, observations of human experts, and computational requirements are…

Presents findings from study of design activities among 26 novice instructional designers which investigated prevalence of initial generation of more than one design solution; basis on which solutions are accepted or rejected; constraints encountered in proceeding with design; way in which designers know design is finished. Twelve references are…

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…