An evaluation of the Australian ‘reconceptualising early mathematics learning’ project : key findings and implications

The Pattern and Structure Mathematics Awareness Project (PASMAP) has investigated the development of patterning and early algebraic reasoning among 4 to 8 year olds over a series of related studies. We assert that an awareness of mathematical pattern and structure (AMPS) enables mathematical thinking and simple forms of generalization from an early age. This paper provides an overview of key findings of the Reconceptualizing Early Mathematics Learning empirical evaluation study involving 316 Kindergarten students from 4 schools. The study found highly significant differences on PASA scores for PASMAP students. Analysis of structural development showed increased levels for the PASMAP students; those categorised as low ability developed improved structural responses over a short period of time.

The construction of parents as learners about pre-school children’s development

The concept of the lifelong learner—the idea that people should be active learners throughout the lifespan—has since the 1990s gained importance in public policy. Governments in relatively wealthy countries have made the argument that the economic future of nations is tied to the ongoing participation of citizens in learning opportunities that will assist them to participate fully in society and increase their chances of employment in changing workforce conditions. More recently, policy attention has focused on the other end of the lifespan, the first years of life. With the early years now recognised as crucial for later educational success, policy attention has also focused on the importance of parenting in the early years. In the UK and Australia, for example, the effects of state interventions to facilitate ‘good parenting’ and pre-school children’s ‘readiness’ for formal schooling have been felt in a range of settings including community health services, the home and the pre-school (Gillies, 2005; Nichols & Jurvansuu, 2008; Millei & Lee, 2007; Vincent, Ball & Braun, 2010). In Australia, government policy has explicitly proposed a model of parenting as a learning process, and has urged people to cultivate their identities as learners in order to carry out their responsibilities as parents. In part the policy objectives have been to support parents to ensure that all children get a healthy and successful start to life...

Designing Assessment for Quality Learning

- Considers broad-scale assessment approaches and how they impact on educational opportunity and outcomes. - Brings together internationally recognised scholars providing new insights into assessment for learning improvement and accountability. - Presents different theoretical and methodological perspectives influential in the field of assessment, learning and social change. - Contributes to the theorising of assessment in contexts characterised by heightened accountability requirements and constant change. This book brings together internationally recognised scholars with an interest in how to use the power of assessment to improve student learning and to engage with accountability priorities at both national and global levels. It includes distinguished writers who have worked together for some two decades to shift the assessment paradigm from a dominant focus on assessment as measurement towards assessment as central to efforts to improve learning. These writers have worked with the teaching profession and, in so doing, have researched and generated key insights into different ways of understanding assessment and its relationship to learning. The volume contributes to the theorising of assessment in contexts characterised by heightened accountability requirements and constant change. The book’s structure and content reflect already significant and growing international interest in assessment as contextualised practice, as well as theories of learning and teaching that underpin and drive particular assessment approaches. Learning theories and practices, assessment literacies, teachers’ responsibilities in assessment, the role of leadership, and assessment futures are the organisers within the book’s structure and content. The contributors to this book have in common the view that quality assessment, and quality learning and teaching are integrally related. Another shared view is that the alignment of assessment with curriculum, teaching and learning is linchpin to efforts to improve both learning opportunities and outcomes for all. Essentially, the book presents new perspectives on the enabling power of assessment. In so doing, the writers recognise that validity and reliability - the traditional canons of assessment – remain foundational and therefore necessary. However, they are not of themselves sufficient for quality education. The book argues that assessment needs to be radically reconsidered in the context of unprecedented societal change. Increasingly, communities are segregating more by wealth, with clear signs of social, political, economic and environmental instability. These changes raise important issues relating to ethics and equity, taken to be core dimensions in enabling the power of assessment to contribute to quality learning for all. This book offers readers new knowledge about how assessment can be used to re/engage learners across all phases of education.

A near-to-far non-parametric learning approach for estimating traversability in deformable terrain

It is well recognized that many scientifically interesting sites on Mars are located in rough terrains. Therefore, to enable safe autonomous operation of a planetary rover during exploration, the ability to accurately estimate terrain traversability is critical. In particular, this estimate needs to account for terrain deformation, which significantly affects the vehicle attitude and configuration. This paper presents an approach to estimate vehicle configuration, as a measure of traversability, in deformable terrain by learning the correlation between exteroceptive and proprioceptive information in experiments. We first perform traversability estimation with rigid terrain assumptions, then correlate the output with experienced vehicle configuration and terrain deformation using a multi-task Gaussian Process (GP) framework. Experimental validation of the proposed approach was performed on a prototype planetary rover and the vehicle attitude and configuration estimate was compared with state-of-the-art techniques. We demonstrate the ability of the approach to accurately estimate traversability with uncertainty in deformable terrain.

Traversability estimation for a planetary rover via experimental kernel learning in a Gaussian process framework

A critical requirement for safe autonomous navigation of a planetary rover is the ability to accurately estimate the traversability of the terrain. This work considers the problem of predicting the attitude and configuration angles of the platform from terrain representations that are often incomplete due to occlusions and sensor limitations. Using Gaussian Processes (GP) and exteroceptive data as training input, we can provide a continuous and complete representation of terrain traversability, with uncertainty in the output estimates. In this paper, we propose a novel method that focuses on exploiting the explicit correlation in vehicle attitude and configuration during operation by learning a kernel function from vehicle experience to perform GP regression. We provide an extensive experimental validation of the proposed method on a planetary rover. We show significant improvement in the accuracy of our estimation compared with results obtained using standard kernels (Squared Exponential and Neural Network), and compared to traversability estimation made over terrain models built using state-of-the-art GP techniques.

Orienting preservice teachers towards gifted education : School university partnerships

Addressing the needs of gifted students is predicated on an understanding of many factors not least the nature of giftedness, appropriate curriculum design and specialist pedagogical practices. Knowledge needs to be acquired in context. Preservice teacher education programs tend to focus on pedagogical practices and present preservice teachers with content related to inclusive philosophies, strategies for teaching, and assessment techniques. Many preservice teachers do not have an awareness of the nature of giftedness or understandings around models of curriculum advocated for gifted education, despite practicum experiences and university education. This paper presents two case studies that describe interventions constructed through partnerships with schools to raise awareness of the nature of giftedness and provide concrete experiences for preservice teachers’ interactions with gifted students. It will report strategies through which preservice teachers become engaged with gifted students in regular classrooms. Qualitative and quantitative evidence will be presented on the effectiveness of these models.