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…

The Data File Documentation reports on the procedures and methodologies employed during the Education Longitudinal Study of 2002 base year, first, and second follow-ups, with special emphasis on the second follow-up (2006). The document is designed to provide guidance for users of the restricted-use data as released in Electronic Codebook (ECB)…

The evaluation literature on Lesbian, Gay, Bisexual, Transgender, and Queer (LGBTQ) youth programs is largely absent of quantitative studies, likely in part due to the challenge of using experimental or quasi-experimental evaluation designs. This paper proposes the creative use of a national data set to overcome the problem of estimating a…

Education researchers, practitioners, and policymakers alike are committed to identifying interventions that teach students more effectively. Increased emphasis on evaluation and accountability has increased desire for sound evaluations of these interventions; and at the same time, school-level data have become increasingly available. This article…

For decades, every chemical engineer has been asked to have a background in separations. The required separations course can, however, be uninspiring and superficial because understanding many separation processes involves conventional graphical methods and commercial process simulators. We utilize simple, user-­friendly mathematical software,…

This article describes an activity in measurement and geometry in which sixth-grade students explore the volume and surface area of a donut. Through calculation, creative thinking, and discovery, the students enhanced their geometric vocabulary and reasoning. (Contains 9 figures.)

This article reports on the English National Numeracy Strategy (NNS) and, in particular, on the way in which children aged from 8- to 11-years-old view "interactive whole class teaching". A qualitative, grounded study of both teachers' and children's perceptions of interactive teaching was undertaken, making use of "video stimulated…

The purpose of this study was to examine the relations of various cognitive abilities and aspects of math performance with computational estimation skill among third graders. Students (n=315) were assessed on language, nonverbal reasoning, concept formation, processing speed, long-term memory, working memory, inattentive behavior, basic reading…

The authors examined developmental and individual differences in pure numerical estimation, the type of estimation that depends solely on knowledge of numbers. Children between kindergarten and 4th grade were asked to solve 4 types of numerical estimation problems: computational, numerosity, measurement, and number line. In Experiment 1,…

As part of a module on mathematical problem solving in an Initial Teacher Education programme, the student teachers are encouraged to produce alternative solutions to the problems they tackle and, in particular, to consider whether ICT can help. In this paper we discuss a number of unusual solutions produced for some of the problems, specifically…

A computerized adaptive test (CAT) may be modeled as a closed-loop system, where item selection is influenced by trait level ([theta]) estimation and vice versa. When discrepancies exist between an examinee's estimated and true [theta] levels, nonoptimal item selection is a likely result. Nevertheless, examinee response behavior consistent with…

This article examines the relevancy of large-scale, quantitative methodologies in middle grades education research. Based on recommendations from national advocacy organizations, the need for more large-scale, quantitative research, combined with the application of more rigorous methodologies, is presented. Subsequent sections describe and discuss…

Objective: The purpose of this study was to assess heritability of activity, attention, and impulsivity by comparing young monozygotic (MZ) twins with dizygotic (DZ) twins using objective measures. Method: The OPTAx test is an infrared motion analysis to record the movement pattern during a continuous performance test. Seventeen MZ and 12 same…

This article describes a calculus project that exposes students to the concept of retirement annuities in both the saving and withdrawal phases, via revenue streams represented by integrals. Students use modeling skills to solve several related problems as the assumptions of the original problem are changed, and the project requires them to use a…

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…