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.…

This article reports the development of a brief self-report measure of dispositional insight problem solving, the Dispositional Insight Scale (DIS). From a representative Australian database, 1,069 adults (536 women and 533 men) completed an online questionnaire. An exploratory and confirmatory factor analysis revealed a 5-item scale, with all…

Purpose: The purpose of this paper is to conceptualise graduate work-readiness (GWR) and to develop a scale to measure it. Design/methodology/approach: The methodology entailed the compilation of a literature review and the conduct of qualitative interviews and a focus group to generate items. This study used the "resource-based view"…

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…

Values are conceptualized as the standards individuals use to determine the status of events and actions and are considered to influence individuals' behaviours, reasoning, and perceptions. Based on a synthesis of six school-based student values enhancement programs, this paper reports on the development of the Children's Values Questionnaire…

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…

Proportional reasoning involves the use of ratios in the comparison of quantities. While it is a key aspect of numeracy, particularly in the middle years of schooling, students do not always develop proportional reasoning naturally. Research suggests that many students do not apply proportional methods appropriately and that they often erroneously…

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…

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 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…

Students' perceptions of actual and preferred classroom environment were investigated using the "What is happening in this class? questionnaire" (WIHIC). The WIHIC assesses seven classroom environment dimensions: student cohesiveness, teacher support, involvement, task orientation, investigation, cooperation and equity. A sample of 978…

Medicine is a profession with a long history of research and high standards of methodological rigour and evidence-based decision making. These standards are being transferred into medical education. Universities are starting to collect high-quality data on their admissions systems. This has not been a short-term proposition. Medical courses are…

This second volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents research reports for author surnames beginning Alc- through Hal-. Reports include: (1) How Do Your Students Think about Proof? A DVD Resource for Mathematicians (Lara Alcock); (2) Teachers' Conceptions of…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…