A child's demonstration of his conceptual understanding of number bodes well for his future success in school mathematics. As youngsters' thinking becomes more logical, they apply one-to-one correspondence relationships to quantification. Yet, reliable assessment of young children's mathematical ability is difficult because of social and emotional…

Research on the counterintuitive Monty Hall dilemma (MHD) and analogous problems has shown that correct reasoning is rarely observed, even with the help of certain hints. Making the causal structure explicit or presenting probabilities by means of natural frequencies seem to enhance performance, but only to a moderate degree. The present…

The National Council of Teachers of Mathematics (NCTM) Curriculum Focal Points (2006) suggested heavy emphasis on instruction in whole numbers for young elementary students. Any intervention curriculum for students who are at-risk for mathematic difficulties should not be oversimplified. Number sense was defined by Berch (1998) as a developing…

The purpose of this study was to determine the effects of an early numeracy preventative Tier 2 intervention on the mathematics performance of first-grade students with mathematics difficulties. Researchers used a pretest-posttest control group design with randomized assignment of 139 students to the Tier 2 treatment condition and 65 students to…

How can teachers be helped, at relatively little expense, to improve their professional practice? This problem was addressed in "Improving Formative Assessment in Vocational Education and Adult Literacy, Language and Numeracy Programmes"--the IFA project. Adopting a specific problem-based methodology as part of an action research…

The key questions are: is it true that persons with Down's syndrome can study mathematics only at a very elementary level? Might it be possible that their difficulties are mainly restricted to some fields, such as numeracy and mental computation, but do not encompass the entire domain of mathematics? Is the use of a calculator recommended? Is…

Taiwanese students consistently rank near the top on international exams on mathematics and science. In 2007, Taiwan recorded the highest TIMSS math score for eighth grade. The central education agency in Taiwan publishes detailed mathematics curriculum guidelines, which textbooks and national exams follow closely. In May each year, all ninth…

Information graphics have become increasingly important in representing, organising and analysing information in a technological age. In classroom contexts, information graphics are typically associated with graphs, maps and number lines. However, all students need to become competent with the broad range of graphics that they will encounter in…

Being numerate involves using mathematical ideas efficiently to make sense of the world, which is much more than just being able to calculate. What is needed is the accurate interpretation of mathematical information and the ability to draw sound conclusions based on mathematical reasoning. This skill may be called "critical numeracy",…

This paper describes an exploratory evaluation of the Peers Early Education Partnership "Room to Play", an innovative and experimental "drop-in" service seeking to attract and engage "hard-to-reach" families in one of the most deprived areas of a Midlands city. Located in a shop unit of a busy community shopping…

By the end of the kindergarten, students are expected to possess early academic skills as well as the social maturity to be successful in first grade. Students leaving kindergarten without these readiness skills are sometimes held back in first grade or referred for a special education evaluation in later grades if they fail to make adequate…

The Millennium Development Goal (MDG) 2, which is "Achieve Universal Education", puts emphasis on increasing enrolments and keeping children at school until they complete primary education. But the question continues to arise of the kind of education to which children are being given access: Is access commensurate with quality? This…

The training requirements of foreign-born workers may be different from those of native-born workers in similar jobs. Over recent decades Australian immigration policy has focused predominantly on accepting high-skilled migrants. Although this focus has resulted in the successful integration of foreign-born workers into the Australian labour…

We investigated whether and to what extent children who are racial-ethnic minorities are disproportionately represented in early intervention and/or early childhood special education (EI/ECSE). We did so by analyzing a large sample of 48-month-olds (N = 7,950) participating in the Early Childhood Longitudinal Study-Birth Cohort (ECLS-B), a…

Measures of broad fluid abilities including verbal, quantitative, and figural reasoning are commonly used in the K-12 school context for a variety of purposes. However, differentiation of these domains is difficult for young children (grades K-2) who lack basic linguistic and mathematical literacy. This study examined the latent factor structure…