To investigate the structure of number sense and then to assess its uses in fifth-grade children's number sense development, a computerized number sense scale was developed and evaluated. The findings of the study indicate that the newly developed scale, with four dominant factors identified and reconfirmed, is internally consistent and…

This paper describes the author's attempt to design assignments that engage preservice elementary teachers in original mathematical thinking. In particular, the choice of integer operations as the focus of a structured writing assignment that takes students two weeks to complete is explained and justified. Exemplary student work is quoted.…

Children's experiences with early numeracy and literacy activities are a likely source of individual differences in their preparation for academic learning in school. What factors predict differences in children's experiences? We hypothesised that relations between parents' practices and children's numeracy skills would mediate the relations…

Early childhood educators often make assumptions about the nature of families' understandings and what they do at home to support their young children's literacy and numeracy development and learning. Sometimes educator's have a limited understanding of children's every day experiences at home or in their community and the potential for these to…

Four proofs, designed for classroom use in varying levels of courses on abstract algebra, are given for the converse of the classical Chinese Remainder Theorem over the integers. In other words, it is proved that if m and n are integers greater than 1 such that the abelian groups [double-struck z][subscript m] [direct sum] [double-struck…

We present results of a computer-assisted intervention (CAI) study on number skills in kindergarten children. Children with low numeracy skill (n = 30) were randomly allocated to two treatment groups. The first group played a computer game (The Number Race) which emphasized numerical comparison and was designed to train number sense, while the…

In May 2008, the first National Assessment Program for Literacy and Numeracy (NAPLAN) test was administered across Australia to determine the standard of literacy and numeracy achievement of Australia's students in Years 3, 5, 7 and 9. Some students did very well on the tests and some did not. This type of test can tell a great deal about…

Several proofs demonstrating that there are infinitely many primes, different types of primes, tests of primality, pseudo primes, prime number generators and open questions about primes are discussed in Section 1. Some of these notions are elaborated upon in Section 2, with discussions of the Riemann zeta function and how algorithmic complexity…

MoLeNET is a unique collaborative initiative, currently in its third year, which encourages and enables the introduction of mobile learning in English post 14 education via supported shared-cost projects. Mobile learning in MoLeNET is defined by MoLeNET as "The exploitation of ubiquitous handheld technologies, together with wireless and…

Purpose: The purpose of this paper is to evaluate two recent examples of the New Zealand Ministry of Education's approach to reducing the persistent disparities in achievement between students of different social and ethnic groups. The first example is cluster-based school improvement, and the second is the development of national standards for…

In Australia, concerns about the quality of mathematics education that students experience are particularly salient in rural schools. These schools typically report great difficulty in attracting and retaining qualified teachers of mathematics. Teachers in non-metropolitan locations may also experience professional isolation if they have limited…

This paper reports data from the evaluation of the numeracy component of a long-running educational intervention, covering the period from 2001 to 2008. "QuickSmart" is both an intervention and research project operating in Australian schools. It is a structured intervention program designed for middle-school students (ages 10 to 13…

The "National Numeracy Review" recognised that numeracy development requires an across the curriculum commitment. To explore the nature of this commitment we conducted a numeracy audit of the South Australian Middle Years curriculum, using a numeracy model that incorporates mathematical knowledge, dispositions, tools, contexts, and a…

Students need a strong foundation in reading, writing, math, and numeracy to be successful in GED preparation, in work readiness programs, and in post-secondary education and training. The resources in the Basic Skills Collection that will assist in providing this foundation include research articles, materials and curriculum based on research,…

The National Council of Teachers of Mathematics has set ambitious goals for the teaching and learning of mathematics that include preparing students for both the workplace and higher education. While this suggests that it is important for students to develop strong mathematical competencies by the end of high school, there is evidence to indicate…