Concerns development of children's understanding of data and classification. Studies three intact classrooms worked over several sessions to categorize drawings made by children and progressively mathematize their categorization rules. Concludes that by engaging with data characterized by prototypic rather than crisp membership values, students…

Analyzes the mathematics of rotational and translational motion and how one can influence the other in the context of cams and cranks. Describes how the individual components can be brought together to simulate a four-stroke engine and how the engine animates again using the same simple macro. (Author/ASK)

Analyzes whether school-based management (a corporate business emphasis) in Chicago public high schools improved performance between 1989 and 1994. Malmquist productivity index results show very little improvement in productivity (measured in test scores, truancy, and graduation rates). Second-stage regression results are slightly more positive.…

Corrects for potential bias and inconsistency in the estimated coefficient on market competition (among schools) by constructing a system of equations with endogenous expressions of student achievement and market competition. Policy makers seeking to improve student achievement should encourage market competition among schools. (Contains 13…

Finds little or no differential effects of ability grouping for high-, average-, or low-achieving students, based on data from a 1992 longitudinal study. Examination of three school inputs (class size, teacher education, and teacher experience) indicates that grouping and nongrouping schools similarly tailor resources to ability levels. (Contains…

Private universities implementing nontraditional programs for working adults typically staff these programs with part-time, adjunct, and underpaid faculty with no benefits. The model outlined suggests that a policy establishing nontraditional faculty may represent a false economy. Paying such faculty proportionately more than regular faculty would…

Describes and explains a procedure for photographing the chaotic scattering of light. (WRM)

Coefficient alpha, the most commonly used estimate of internal consistency, is often considered a lower bound estimate of reliability, though the extent of its underestimation is not typically known. Many researchers are unaware that coefficient alpha is based on the essentially tau-equivalent measurement model. It is the violation of the…

Genetics is a difficult topic as it involves abstract concepts, which are not directly observable. Studies on using simulations to support the learning of genetics have largely been confined to the use of quantitative simulations to replace experimentation. This study describes the use of a new type of simulation built using an iconic modelling…

We first discern three different sources to describe the non-modelling-friendly environment in Taiwan: the background of mathematics teachers and students, examinations and textbooks. Under such unfriendly circumstances, how one can implement the teaching and learning of mathematical modelling is explored. In this paper, we focus on the analysis…

To help mathematics educators realise the power of computer-based applications and modelling, this paper deals with four questions: (a) What implications does technology have for the range of applications and modelling problems that can be introduced? (b) In what cases does technology facilitate the learning of applications and modelling? (c) When…

Although differential item functioning (DIF) theory traditionally focuses on the behavior of individual items in two (or a few) specific groups, in educational measurement contexts, it is often plausible to regard the set of items as a random sample from a broader category. This article presents logistic mixed models that can be used to model…

The basic properties of a dynamic systems approach of development are illustrated by contrasting two simple equations. One equation is characteristic of dynamic systems models. The other refers to what, for the sake of simplicity, is referred to as the standard developmental approach. We give illustrations from cognitive, language and social…

A well-established approach to modeling clustered data introduces random effects in the model of interest. Mixed-effects logistic regression models can be used to predict discrete outcome variables when observations are correlated. An extension of the mixed-effects logistic regression model is presented in which the dependent variable is a latent…

In Fall 2004, Virginia Commonwealth University (VCU) piloted a modeling-based approach to college algebra. This paper describes the course and an assessment that was conducted to determine the effect of this approach on student achievement in comparison to a traditional approach to college algebra. The results show that compared with their…