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,…

In a previous paper, we showed the importance of using low-level commands of a CAS in order to enhance the students' conceptual insight into mathematics. In this paper, we wish to emphasise a different use of a CAS, which makes possible the exploration of new topics, when the necessary theoretical results have still not been acquired, and avoids…

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…

One possible source of variation in children's mathematical abilities upon entry to school may be the social support of early number skills children receive in the home. In the present study, we explored parental support of preschoolers' counting in the context of an everyday activity and whether parental ability to provide aid is influenced by…

Cox (1972) proposed a discrete-time survival model that is somewhat analogous to the proportional hazards model for continuous time. Efron (1988) showed that this model can be estimated using ordinary logistic regression software, and Singer and Willett (1993) provided a detailed illustration of a particularly flexible form of the model that…

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…

Three methods of synthesizing correlations for meta-analytic structural equation modeling (SEM) under different degrees and mechanisms of missingness were compared for the estimation of correlation and SEM parameters and goodness-of-fit indices by using Monte Carlo simulation techniques. A revised generalized least squares (GLS) method for…

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…

This study examined the performance of one hundred thirty-one fifth graders on timed versus untimed mathematics tests. Measures of math fluency and calculation were administered. Low achieving students performed poorly on both calculation and math fluency. Normally achieving children performed within the average range on both calculation and math…

How can it be explained that, aside from inter-individual differences, pupils in certain classes are more responsive than others to the formal aspects of a problem that has been set? The author puts forward the hypothesis that teachers differ in their ability to operate relevant variations in the conception of problems. The differences in…

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…

Students sometimes have difficulty in mathematics because they solve problems mechanically, without understanding the ideas represented by their equations. This brief note provides mathematics instructors with ideas for rectifying this fundamental flaw in students' paradigm of problem solving. (Contains 1 footnote.)

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…