This article describes the history, evidence warrants, and evolution of the Center for Research on Evaluation, Standards, and Student Testing's (CRESST) model-based assessments. It considers alternative interpretations of scientific or practical models and illustrates how model-based assessment addresses both definitions. The components of the…

Problem: The study sought to determine the common set of conditions and processes necessary to improve the performance of problem-solving teams beyond the abilities of individuals. Research Hypotheses: (H1) Controlling for differences in ability, the team scores of heterogeneous teams are significantly lower than team scores of homogeneous teams.…

In this study, the authors compared four multimedia learning arrangements differing in instructional approach on effectiveness and efficiency for learning: (a) hypermedia learning, (b) observational learning, (c) self-explanation-based learning, and (d) inquiry learning. The approaches all advocate learners' active attitude toward the learning…

A special but common type of scenario is one in which a company has a promotion that is designed to make the customer purchase more of their product than they otherwise might. Although this can be aimed specifically at children, it really applies to all persons. The basic premise is that the company issues a "set" of different items or…

Accurate and accessible expressions for the probability of having a matching birthday are obtained by using Stirling's formula and Taylor series. For interest, the results are applied to the planets of our solar system.

The present series of 4 experiments investigated the probability of responding in accord with equivalence in adult human participants as a function of increasing or decreasing delays in a many-to-one (MTO) or comparison-as-node and one-to-many (OTM) or sample-as-node conditional discrimination procedure. In Experiment 1, 12 participants started…

Using license plates and telephone numbers for teaching probability ideas involving counting rules is suggested. How each is useful is illustrated in some detail. (MNS)

A method for introducing ideas of probability theory is presented. The method is illustrated by solving a coin tossing" problem. (FL)

Six-year-olds, 10-year-olds, and 18-year-olds were studied in a probability learning experiment using a procedure analagous to that used in animal experiments. It was predicted that children, like rats, would choose higher probability alternatives more often with a noncorrection than a correction reinforcement procedure. (Author/DB)

Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the urns? The Total Probability Formula (TPF) is the common tool to solve such a problem. However, when the number of urns is more than two and the number…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

Much has been written on the subject of linking math and literature. However, the focus is usually on the incorporation of reading into a math class--how a teacher might use picture books, problems, or stories, in general, to bring enthusiasm and engagement into the math classroom. In this article, the authors propose that teachers think about…

Two mathematical brainteasers, with solutions depending on involved trial-and-error processes, are shown to have ingenious solutions. (MP)

Paper presents derivations of expressions for functions for any absorbing Markov-chain model. (Author)

Examples are given of problems which can be solved pictorially, thus aiding in the general development of geometric intuition and in developing some of the basic ideas of probability. (MP)