Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

Mathematics knowledge for teaching and the classroom environment

This study investigated the classroom environment in an underperforming mathematics classroom. The objectives were: (1) to investigate the classroom environment and identify influences upon it, and (2) to further explore those influences (i.e., teacher knowledge). This was completed using a diachronic case study approach in which data were gathered during lesson observations and coaching sessions. These data were analysed to describe and exemplify the classroom environment, then further described against forms of teacher knowledge. Conjectures regarding the importance of teacher knowledge of content were made which formed a base for developing a model of teacher planning and pedagogy.

Developing mathematics understanding and abstraction : the case of equivalence in the elementary years

Generalising arithmetic structures is seen as a key to developing algebraic understanding. Many adolescent students begin secondary school with a poor understanding of the structure of arithmetic. This paper presents a theory for a teaching/learning trajectory designed to build mathematical understanding and abstraction in the elementary school context. The particular focus is on the use of models and representations to construct an understanding of equivalence. The results of a longitudinal intervention study with five elementary schools, following 220 students as they progressed from Year 2 to Year 6, informed the development of this theory. Data were gathered from multiple sources including interviews, videos of classroom teaching, and pre-and post-tests. Data reduction resulted in the development of nine conjectures representing a growth in integration of models and representations. These conjectures formed the basis of the theory.

It really is black and white when you look at it like this : reporting on a study into Australian professors' research and teaching priorities

Despite optimistic claims about the research-teaching nexus, Australian academics still face tension between research and teaching. The teaching and research priorities, beliefs and behaviours of 70 Professorial and Associate Professorial academics in Science, Information Technology and Engineering were examined in this study. The academics from 4 faculties in 3 Australian universities, were asked to rank 16 research activities and 16 matched learning and teaching (L&T) activities from each of three perspectives: job satisfaction, leadership behaviour, and perceptions of professional importance. The findings, which were remarkably consistent across the three universities, were unequivocally in favour of Research. The only L&T activity that was ranked consistently well was “Improving student satisfaction ratings for Teaching”. The data demonstrates that Australian government and university initiatives to raise the status of L&T activity are not impacting significantly on Australia’s future leaders of university learning.

Kaleidoscope : Reframing learning and teaching evaluation through a shared stakeholder lens

Sector wide interest in Reframe: QUT’s Evaluation Framework continues with a number of institutions requesting finer details as QUT embeds the new approach to evaluation across the university in 2013. This interest, both nationally and internationally has warranted QUT’s collegial response to draw upon its experiences from developing Reframe into distilling and offering Kaleidoscope back to the sector. The word Reframe is a relevant reference for QUT’s specific re-evaluation, reframing and adoption of a new approach to evaluation; whereas Kaleidoscope reflects the unique lens through which any other institution will need to view their own cultural specificity and local context through an extensive user-led stakeholder engagement approach when introducing new approaches to learning and teaching evaluation. Kaleidoscope’s objectives are for QUT to develop its research-based stakeholder approach to distil the successful experience exhibited in the Reframe Project into a transferable set of guidelines for use by other tertiary institutions across the sector. These guidelines will assist others to design, develop, and deploy, their own culturally specific widespread organisational change informed by stakeholder engagement and organisational buy-in. It is intended that these guidelines will promote, support and enable other tertiary institutions to embark on their own evaluation projects and maximise impact. Kaleidoscope offers an institutional case study of widespread organisational change underpinned by Reframe’s (i) evidence-based methodology; (ii) research including published environmental scan, literature review (Alderman, et al., 2012), development of a conceptual model (Alderman, et al., in press 2013), project management principles (Alderman & Melanie, 2012) and national conference peer reviews; and (iii) year-long strategic project with national outreach to collaboratively engage the development of a draft set of National Guidelines. Kaleidoscope’s aims are to inform Higher Education evaluation policy development through national stakeholder engagement, the finalisation of proposed National Guidelines. In correlation with the conference paper, the authors will present a Draft Guidelines and Framework ready for external peer review by evaluation practitioners from the Higher Education sector, as part of Kaleidoscope’s dissemination strategy (Hinton & Gannaway, 2011) applying illuminative evaluation theory (Parlett & Hamilton, 1976), through conference workshops and ongoing discussions (Shapiro, et al., 1983; Jacobs, 2000). The initial National Guidelines will be distilled from the Reframe: QUT’s Evaluation Framework’s Policy, Protocols, and incorporated Business Rules. It is intended that the outcomes of Kaleidoscope are owned by and reflect sectoral engagement, including iterative evaluation through multiple avenues of dissemination and collaboration including the Higher Education sector. The dissemination strategy with the inclusion of Illuminative Evaluation methodology provides an inclusive opportunity for other institutions and stakeholders across the Higher Education sector to give voice through the information-gathering component of evaluating the draft Guidelines, providing a comprehensive understanding of the complex realities experienced across the Higher Education sector, and thereby ‘illuminating’ both the shared and unique lenses and contexts. This process will enable any final guidelines developed to have broader applicability, greater acceptance, enhanced sustainability and additional relevance benefiting the Higher Education sector, and the adoption and adaption by any single institution for their local contexts.

Research and/or learning and teaching : a study of Australian professors' priorities, beliefs and behaviours

This paper presents findings from an empirical study of key aspects of the teaching and research priorities, beliefs and behaviours of 72 professorial and associate professorial academics in Science, Information Technology and Engineering across four faculties in three Australian universities. The academics ranked 16 research activities and 16 matched learning and teaching (L&T) activities from three perspectives: job satisfaction, role model behaviour and perceptions of professional importance. The findings were unequivocally in favour of research in all three areas and remarkably consistent across the universities. The only L&T activity that was ranked consistently well was 'improving student satisfaction ratings for teaching', an area in which academics are increasingly held accountable. Respondents also indicated that their seniors encourage research efforts more than L&T efforts. Recommendations include that higher education rewards for quality L&T are maintained or improved and that recognition of L&T research domains is further strengthened.

Book reviews : "Biosecurity interventions: global health and security in question"

International Relations’ engagement with global health governance has proliferated in the last decade. There are a number of excellent works that seek to understand how the relationship between politics and health shapes and informs people’s lives and governments’ policies. However, the overt securitization of health by the IR field has, Biosecurity interventions argues, remained relatively unproblematized...

Book Reviews : "Off Limits: a parent’s guide to keeping kids safe from sexual abuse" and "Smart Parenting for Safer Kids"

Two important books on the topic of child sexual abuse prevention were recently published: Off Limits: A Parent’s Guide to Keeping Kids Safe from Sexual Abuse (Wurtele & Berkower, 2010) and Smart Parenting for Safer Kids (Briggs, 2010). The authors of both books are highly credentialed with long experience researching and writing about child sexual abuse prevention. Sandy Wurtele, PhD, is author of landmark child- and parent-focused sexual abuse prevention programs conducted in the USA over the past 30 years. She has published over 80 journal articles and book chapters on this topic. Her co-author, Feather Berkower, MSW, has been conducting workshops for adults on this topic for 25 years. Freda Briggs, PhD, has over 40 years’ experience in child protection in Australia and has also published numerous scholarly works on the topic. She was the inaugural recipient of the Australian Humanitarian Award in 1998, was Senior Australian of the Year in 2000, and was awarded an Order of Australia in 2005.

The WIL (Work Integrated Learning) Report : A national scoping study [Australian Learning and Teaching Council (ALTC) Final report]

This report provides an account of the first large-scale scoping study of work integrated learning (WIL) in contemporary Australian higher education. The explicit aim of the project was to identify issues and map a broad and growing picture of WIL across Australia and to identify ways of improving the student learning experience in relation to WIL. The project was undertaken in response to high levels of interest in WIL, which is seen by universities both as a valid pedagogy and as a means to respond to demands by employers for work-ready graduates, and demands by students for employable knowledge and skills. Over a period of eight months of rapid data collection, 35 universities and almost 600 participants contributed to the project. Participants consistently reported the positive benefits of WIL and provided evidence of commitment and innovative practice in relation to enhancing student learning experiences. Participants provided evidence of strong partnerships between stakeholders and highlighted the importance of these relationships in facilitating effective learning outcomes for students. They also identified a range of issues and challenges that face the sector in growing WIL opportunities; these issues and challenges will shape the quality of WIL experiences. While the majority of comments focused on issues involved in ensuring quality placements, it was recognised that placements are just one way to ensure the integration of work with learning. Also, the WIL experience is highly contextualised and impacted by the expectations of students, employers, the professions, the university and government policy.