This study investigates item parameter recovery, standard error estimates, and fit statistics yielded by the WINSTEPS program under the Rasch model and the rating scale model through Monte Carlo simulations. The independent variables were item response model, test length, and sample size. WINSTEPS yielded practically unbiased estimates for the…

Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…

The paper's aim is to note a remarkable (and apparently unknown) relation for right triangles, its generalisation to arbitrary triangles and the possibility to derive these and some related relations by elimination using Groebner basis computations with a modern computer algebra system. (Contains 9 figures.)

Objective: First, to provide information about best practices in handling missing data so that readers can judge the quality of research studies. Second, to provide more detailed information about missing data analysis techniques and software on the Journal's Web site at www.jaacap.com. Method: We focus our review of techniques on those that are…

Preference orderings among a set of options may depend on the elicitation method (e.g., choice or pricing); these preference reversals challenge traditional decision theories. Previous attempts to explain these reversals have relied on allowing utility of the options to change across elicitation methods by changing the decision weights, the…

Model-based equating was compared to empirical equating of an Armed Services Vocational Aptitude Battery (ASVAB) test form. The model-based equating was done using item pretest data to derive item response theory (IRT) item parameter estimates for those items that were retained in the final version of the test. The analysis of an ASVAB test form…

Computation can have a profound intellectual impact, like the alphabet thousands of years ago. Using computation, people can begin to outline cognitive structures that will revolutionize the way they learn, although, especially at universities, the dreams must sometimes lag behind their potential due to limited funding. Ultimately, however, the…

As part of No Child Left Behind (NCLB) legislation, many states are using confidence intervals to determine a range of scores for evaluating a school system. More specifically, the states are employing confidence intervals to help minimize measurement error in determining a school system's performance. The methodology and techniques employed in…

The risk of individual citizen's investment in education specifically refers to the benefit changeability of individual investment in education. Risks always go with uncertainty. By adopting the method of quantile regression estimation and taking the Chinese urban citizens as samples, the author makes a positivist study of the risk of Chinese…

This study examines one child's use of computational procedures over a period of 3 years in an urban elementary school where teachers were using a standards-based curriculum. From a sociocultural perspective, the use of standard algorithms to solve mathematical problems is viewed as a cultural tool that both enables and constrains particular…

The authors surveyed 738 college students aged 18 to 27 years to assess over weight, obesity, dietary habits, and physical activity. They used BMI (body mass index) [greater than or equal to] 25 kg/m[squared] or BMI [greater than or equal to] 85th percentile and BMI [greater than or equal to] 30 kg/m[squared] or BMI [greater than or equal to] 95th…

There is no common agreement on the meaning of the word "understand". However, there is agreement on what students should be able to do with material they understand. Bloom et al. discuss kinds of tasks a student should be able to do, provided that the student understands. In a similar way, Biggs and Collis provide a taxonomy intended to evaluate…

Unfolding response models, a class of item response theory (IRT) models that assume a unimodal item response function (IRF), are often used for the measurement of attitudes. Verhelst and Verstralen (1993)and Andrich and Luo (1993) independently developed unfolding response models by relating the observed responses to a more common monotone IRT…

This article addresses the validity of teacher evaluation measures produced by the Tennessee Value Added Assessment System (TVAAS). The system analyzes student test score data and estimates the effects of individual teachers on score gains. These effects are used to construct teacher value-added measures of teaching effectiveness. We describe the…

Facilitating mental computation discussion comes with its own set of challenges for researchers and teachers. It is important to be able to help capture the students' ideas, before they disappear and seem like little more than moments of magic! In enabling children to learn how numbers work, the current emphasis on mental computation is driven by…