As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that…

Within increasing pressure on young people to perform successfully in work, there is a growing concern regarding their levels of numeracy (and literacy). Whether such concerns are founded is the basis of this paper. This paper reports on the numeracy practices undertaken by three young boatbuilders who were nearing the completion of their 4-year…

The Association of Literacy Educators and Researchers (ALER) Yearbook, Volume 34, includes papers presented at the annual conference, which have gone through a double peer review process. It also includes the Presidential Address and the keynote addresses given at the conference. For ALER's 55th annual meeting, the Association of Literacy…

This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…

Extensive research indicates that there are more boys than girls who are struggling readers, although considerable variation in gender ratios has been reported as a result of a lack of consensus in defining and measuring poor reading. The purpose of this study was to establish stable and consistent gender ratios for poor reading using a single…

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…