We investigate the use of external visual representations in probability problem solving. Twenty-six students enrolled in an introductory statistics course for social sciences graduate students (post-baccalaureate) solved eight probability problems in a structured interview format. Results show that students spontaneously use self-generated…

Adherence to medical protocol (quality) is low in most developing countries. We show that, although the differences in knowledge of protocol among doctors in Arusha region of Tanzania are explained by years of training, the differences in actual adherence to protocol and the gap between knowledge and actual adherence are best understood by…

This article demonstrates the use of mixed-effects logistic regression (MLR) for conducting sequential analyses of binary observational data. MLR is a special case of the mixed-effects logit modeling framework, which may be applied to multicategorical observational data. The MLR approach is motivated in part by G. A. Dagne, G. W. Howe, C. H.…

There is an absence of systematic, comparative research examining the negative consequences that are experienced as a result of using specific substances. Further, techniques typically used for needs assessment (i.e., prevalence proportions) do not take into account the probability of experiencing a negative consequence as a result of using…

In this study, the authors develop a generalized multilevel facets model, which is not only a multilevel and two-parameter generalization of the facets model, but also a multilevel and facet generalization of the generalized partial credit model. Because the new model is formulated within a framework of nonlinear mixed models, no efforts are…

"Lesson explaining" has been developed in China from an evaluative resource to an effective form of teacher professional development with the value of emphasizing teacher reflective practice. This paper begins with a general description of lesson explaining. Then an example of "explaining" a mathematics lesson for teaching…

Conditionals in natural language are central to reasoning and decision making. A theoretical proposal called the Ramsey test implies the conditional probability hypothesis: that the subjective probability of a natural language conditional, P(if p then q), is the conditional subjective probability, P(q [such that] p). We report three experiments on…

It has been proposed that it is possible to decompose changes in variability of human motor behavior into 3 independent components: covariation, task tolerance, and stochastic noise. The authors simulate learning to throw accurately and show that for this task the proposed analysis does not give an unambiguous answer to the question of what the 3…

We report on two case studies in which we investigated mathematics for teaching. We were interested in the mathematical knowledge teachers need to know, and know how to use, in order to teach mathematics well. The two case studies focused on the teaching of probability in Grade 8 and the teaching of functions in Grade 10. We discuss the…

The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…

New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards identify what students should know and be able to do across all grade levels, forming a spiraling framework in the sense that many skills, once introduced, develop over time. While the Performance Standards are set forth at grade-specific levels, they do not exist as…

This Research Brief presents a method for predicting 10th grade Florida Comprehensive Assessment Test (FCAT) success from 6th grade FCAT performance. A simple equation provides the most probable single score prediction, and give-or-take error margins define high and low probability zones for expected 10th grade scores. In addition, a double-entry…

Purpose: The welfare reform bill of 1996 severely constrained noncitizens' eligibility for the Food Stamp Program (FSP). This study examined the effects of eligibility restrictions on older immigrants' FSP participation and food insecurity. We paid special attention to household composition and household eligibility as well as older immigrants'…

The quality of jobs of economics graduates was studied in terms of educational mismatch. The returns of over-education on earnings and on the job-search were also investigated. The discussion regards the second wave of a longitudinal survey of a random sample of economics graduates from the University of Naples "Parthenope", a major…

Data analysis plays a prominent role in various facets of modern life: Schools evaluate and revise programs on the basis of test scores; policymakers make decisions on the basis of information gleaned from polling data; supermarkets stock shelves on the basis of data collected at checkout lanes. Data analysis provides teachers with new tools and…