This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements.…

Low working memory (WM) capacity has been linked to poor academic performance and problem behavior. Availability of easy-to-administer screening tests would facilitate early detection of WM deficits. This study investigated the psychometric properties of the Working Memory Power Test for Children (WMPT) in 170 Australian schoolchildren (8½-11…

All educational testing is intended to have consequences, which are assumed to be beneficial, but tests may also have unintended, negative consequences (Messick, 1989). The issue is particularly important in the case of large-scale standardized tests, such as Australia's "National Assessment Program--Literacy and Numeracy" (NAPLAN), the…

In this study, we investigated how empirical indicators of test-taking engagement can be defined, empirically validated, and used to describe group differences in the context of the Programme of International Assessment of Adult Competences (PIAAC). The approach was to distinguish between disengaged and engaged response behavior by means of…

Research has demonstrated that instruction that relies heavily on studying worked examples is more effective for less experienced learners compared to instruction emphasizing problem solving. However, the guidance associated with studying some worked examples may reduce the performance of more experienced learners. This study investigated…

Most states and territories in Australia have adopted the Problem Gambling Severity Index (PGSI) of the Canadian Problem Gambling Index as the standard measure of problem gambling in their prevalence studies and research programs. However, notwithstanding this attempted standardisation, differences in sampling and recruitment methodologies and in…

Students with attention-deficit/hyperactivity disorder (ADHD) exhibit chronic behavior difficulties that deleteriously impact their academic and social functioning in school settings. These difficulties not only impair student performance, but also present significant challenges to teachers, school psychologists, and other school professionals…

During the last decades of the twentieth century, changes in school curricula have resulted in proof-free or proof-lite curricula. In this article, the author argues that proof is, and should be seen to be, a central component in the school curriculum--from at least the middle of the primary years and upwards. He identifies proof with problem…

Background: The quality of behaviour support plans (BSPs) can be an important influence on the quality of the support provided to people with disability who show challenging behaviours. The Behavior Support Plan Quality Evaluation Guide II (BSP-QE II) is one tool that may be useful in assessing the quality of behaviour support plans. It has…

Finding patterns, and making and justifying conjectures are considered the building blocks of mathematical reasoning and proof. Curriculum revisions in the United States and Australia place increased emphasis on problem solving and reasoning in the primary school curriculum. A number of curriculum resources for teachers are available but under…

The present study explores the validity of a recent stages of change (SoC) measure and algorithm among a sample of late adolescents. MANOVA and structural equation modeling are used to assess the relationship between five SoC groups (precontemplation, contemplation, preparation, action, and maintenance) and a set of dependent measures including…

Background: Parent report instruments are frequently used for the identification of both "at-risk" children and to support the diagnosis of communication delay. Whilst the evidence is strong for the accuracy of parent report of vocabulary between 2 and 3 years, there are fewer studies that have considered the ability of parents to report…

The shift to Vocational Education and Training (VET) for the training of the Australian residential aged care workforce has resulted in significant variance in the competencies at graduation of those caring for people with dementia. Competence may be also be enhanced, or conversely, decline over time as a result of implicit learning gained from…

A curriculum is a knowledge structure outlining what is to be learned in what order. The Australian curriculum for English emphasises creation of a "coherent" and "cumulative" "body of knowledge about how the English language works", with learning that is "portable and applicable to new settings across the school…

A year-long case study of the effects of an educational and vocational rehabilitation program in a youth training center was discussed in terms of fourteen issues which might threaten the validity of an evaluation or research project. This correctional institution housed women aged 14 to 21 who were long-term wards of the state, held on remand, or…