This article describes an activity done by eighth grade students using data that was gathered from sun-shadow observations. (Contains 5 figures.)

This longitudinal study investigated the academic and cognitive characteristics of persistent mathematics difficulty (MD-p) from first to fourth grade. Ninety-nine children were retrospectively categorized into one of three groups: MD-p, transient mathematics difficulty (MD-t), or typically developing. MD-p was defined as persistently low…

The National Dropout Prevention Center for Students with Disabilities (NDPC-SD) was assigned the task of compiling, analyzing, and summarizing the data for Indicator 1--Graduation--from the FFY 2009 Annual Performance Reports (APRs) and amended State Performance Plans (SPPs), which were submitted by states to the Office of Special Education…

This article shows how sixth graders engaged in authentic problem posing related to overcrowding at their school. Students posed authentic problems about their school space and then used mathematics as a tool to investigate and act on the situation. (Contains 6 figures.)

This study examines the mental computation strategies used by pupils at the end of primary school. In 1998 a new strategy for teaching mathematics was introduced into British schools (the National Numeracy Strategy) that specifically focused on mental calculation. The first part of the study took place in 1999, one year after the implementation of…

What is the nature of the association between age (7-11 years) and performance on mathematical equivalence problems (e.g., 7 + 4 + 5 + 7 + _)? Many prevailing theories suggest that there should be a positive association. However, change-resistance accounts (e.g., N. M. McNeil & M. W. Alibali, 2005b) predict a U-shaped association. The purpose of…

Many statistical tests are designed to test the different assumptions of the Rasch model, but only few are directed at detecting multidimensionality. The Martin-Lof test is an attractive approach, the disadvantage being that its null distribution deviates strongly from the asymptotic chi-square distribution for most realistic sample sizes. A Monte…

To reach a sustainable world the use of renewable energy sources is imperative. Photovoltaics (PV) is but one of the technologies that use the power of the sun and its deployment is growing very fast. Several master programs have been developed over the world, including Utrecht University, that teach these technologies. Within the framework of a…

We study four non-Newtonian fluid mechanics problems using Mathematica[R]. Constitutive equations describing the behavior of power-law, Bingham and Carreau models are recalled. The velocity profile is obtained for the horizontal flow of power-law fluids in pipes and annuli. For the vertical laminar film flow of a Bingham fluid we determine the…

At Florida Tech, we have incorporated DataFit from Oakdale Engineering throughout the entire curriculum, beginning with ChE 1102, an eight-week, one-day-per-week, two-hour, one-credit-hour, second-semester Introduction to Chemical Engineering course in a hands-on computer classroom. Our experience is that students retain data analysis concepts…

A biologically detailed computational model is described of how categorization judgments become automatic in tasks that depend on procedural learning. The model assumes 2 neural pathways from sensory association cortex to the premotor area that mediates response selection. A longer and slower path projects to the premotor area via the striatum,…

This Monte Carlo study examined the impact of misspecifying the [big sum] matrix in longitudinal data analysis under both the multilevel model and mixed model frameworks. Under the multilevel model approach, under-specification and general-misspecification of the [big sum] matrix usually resulted in overestimation of the variances of the random…

Probability is an essential tool for understanding heredity and modern genetics, yet many students have difficulty with this topic due to the abstract and quantitative nature of the subject. To facilitate student learning of probability in genetics, we have developed a set of hands-on, cooperative activities that allow students to determine…

In this article, the author describes her attempt to develop more interactive mental mathematics sessions. She observed that her students perceive the multiplication tables as a series of facts which are either known or not known, not as tools which could be used to derive other facts in a flexible manner. She therefore undertook the task of…

Four different approaches to residual entropy (the entropy remaining in crystals comprised of nonsymmetric molecules like CO, N[subscript 2]O, FClO[subscript 3], and H[subscript 2]O as temperatures approach 0 K) are analyzed and a new method of its calculation is developed based on application of the Boltzmann distribution. The inherent connection…