Surveying theories and philosophies of mathematics education

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible? In doing so we draw on the foundational writings of Lincoln and Guba (1994), in which they clearly posit that any discipline within education, in our case mathematics education, needs to clarify for itself the following questions: (1) What is reality? Or what is the nature of the world around us? (2) How do we go about knowing the world around us? [the methodological question, which presents possibilities to various disciplines to develop methodological paradigms] and, (3) How can we be certain in the “truth” of what we know? [the epistemological question]

Politicizing mathematics education : has politics gone too far? Or not far enough?

In this chapter we tackle increasingly sensitive questions in mathematics education, those that have polarized the community into distinct schools of thought as well as impacted reform efforts.

Literacy education in the context of globalisation

This review chapter provides an overview of English language literacy education in the contexts of cultural and economic globalisation. Drawing case study examples of India and China, the authors outline three complementary models: the development paradigm, the hegemony paradigm and the new literacies paradigm. The analysis focuses on effects of the spread of English on vernacular languages and the non-synchronous issues raised by digital production cultures. Noting the difficulties of education systems in contending with new literacies - it argues for the reframing of transnational relations, global material conditions and new communications technologies as the objects of critical literacy education.

ePortfolio use by university students in Australia: A review of the Australian ePortfolio Project

In October 2008, the Australian Learning and Teaching Council (ALTC) released the final report for the commissioned project ePortfolio use by university students in Australia: Informing excellence in policy and practice. The Australian ePortfolio Project represented the first attempt to examine the breadth and depth of ePortfolio practice in the Australian higher education sector. The research activities included surveys of stakeholder groups in learning and teaching, academic management and human resource management, with respondents representing all Australian universities; a series of focus groups and semi-structured interviews which sought to explore key issues in greater depth; and surveys designed to capture students’ pre-course expectations and their post-course experiences of ePortfolio learning. Further qualitative data was collected through interviews with ‘mature users’ of ePortfolios. Project findings revealed that, while there was a high level of interest in the use of ePortfolios in terms of the potential to help students become reflective learners who were conscious of their personal and professional strengths and weaknesses, the state of play in Australian universities was very fragmented. The project investigation identified four individual, yet interrelated, contexts where strategies may be employed to support and foster effective ePortfolio practice in higher education: government policy, technical standards, academic policy, and learning and teaching. Four scenarios for the future were also presented with the goal of stimulating discussion about opportunities for stakeholder engagement. It is argued that the effective use of ePortfolios requires open dialogue and collaboration between the different stakeholders across this range of contexts.

How can we exploit mobile data to customise learning based on a student’s environmental surroundings?

User-Based intelligent systems are already commonplace in a student’s online digital life. Each time they browse, search, buy, join, comment, play, travel, upload, download, a system collects, analyses and processes data in an effort to customise content and further improve services. This panel session will explore how intelligent systems, particularly those that gather data from mobile devices, can offer new possibilities to assist in the delivery of customised, personal and engaging learning experiences. The value of intelligent systems for education lies in their ability to formulate authentic and complex learner profiles that bring together and systematically integrate a student’s personal world with a formal curriculum framework. As we well know, a mobile device can collect data relating to a student’s interests (gathered from search history, applications and communications), location, surroundings and proximity to others (GPS, Bluetooth). However, what has been less explored is the opportunity for a mobile device to map the movements and activities of a student from moment to moment and over time. This longitudinal data provides a holistic profile of a student, their state and surroundings. Analysing this data may allow us to identify patterns that reveal a student’s learning processes; when and where they work best and for how long. Through revealing a student’s state and surroundings outside of schools hour, this longitudinal data may also highlight opportunities to transform a student’s everyday world into an inventory for learning, punctuating their surroundings with learning recommendations. This would in turn lead to new ways to acknowledge and validate and foster informal learning, making it legitimate within a formal curriculum.

Alternate reality games and education innovation

An Alternate Reality Game (ARG) is a unique experience that blurs the edges between our everyday lives and imagined game worlds. Players are invited to interact with each other and fictional characters using familiar tools such as emails, websites, telephones, and sometimes newspapers, radio and television. ARGs come in all shapes and sizes, tell a variety of different stories and inspire all kinds of interactions between people, their networks and the very streets in which they live. Some ARGs simply immerse you in fictional scenarios and indulge you in quirky challenges. While others reveal hidden histories of a city and teach us about important political causes. But the most exciting thing about ARGs is that they have the potential to inspire participants to imagine their everyday tools and places as resources for their own creative endeavors. Deb Polson will be presenting some of the most inspiring ARGs of recent years and revealing some of the design techniques that were used to create them. Most significantly Deb will discuss ways in which educators can imagine using ARGs as rich teaching tools that inspire collaborative learning and motivate students to engage in all kinds of subject matter.

A constraints-led perspective to understanding skill acquisition and game play: A basis for integration of motor learning theory and physical education praxis?

Background: In order to design appropriate environments for performance and learning of movement skills, physical educators need a sound theoretical model of the learner and of processes of learning. In physical education, this type of modelling informs the organization of learning environments and effective and efficient use of practice time. An emerging theoretical framework in motor learning, relevant to physical education, advocates a constraints-led perspective for acquisition of movement skills and game play knowledge. This framework shows how physical educators could use task, performer and environmental constraints to channel acquisition of movement skills and decision making behaviours in learners. From this viewpoint, learners generate specific movement solutions to satisfy the unique combination of constraints imposed on them, a process which can be harnessed during physical education lessons. Purpose: In this paper the aim is to provide an overview of the motor learning approach emanating from the constraints-led perspective, and examine how it can substantiate a platform for a new pedagogical framework in physical education: nonlinear pedagogy. We aim to demonstrate that it is only through theoretically valid and objective empirical work of an applied nature that a conceptually sound nonlinear pedagogy model can continue to evolve and support research in physical education. We present some important implications for designing practices in games lessons, showing how a constraints-led perspective on motor learning could assist physical educators in understanding how to structure learning experiences for learners at different stages, with specific focus on understanding the design of games teaching programmes in physical education, using exemplars from Rugby Union and Cricket. Findings: Research evidence from recent studies examining movement models demonstrates that physical education teachers need a strong understanding of sport performance so that task constraints can be manipulated so that information-movement couplings are maintained in a learning environment that is representative of real performance situations. Physical educators should also understand that movement variability may not necessarily be detrimental to learning and could be an important phenomenon prior to the acquisition of a stable and functional movement pattern. We highlight how the nonlinear pedagogical approach is student-centred and empowers individuals to become active learners via a more hands-off approach to learning. Summary: A constraints-based perspective has the potential to provide physical educators with a framework for understanding how performer, task and environmental constraints shape each individual‟s physical education. Understanding the underlying neurobiological processes present in a constraints-led perspective to skill acquisition and game play can raise awareness of physical educators that teaching is a dynamic 'art' interwoven with the 'science' of motor learning theories.

ePortfolio use by university students in Australia : Developing a sustainable community of practice

This report documents Stage Two of the Australian ePortfolio Project (AeP2), to specifically explore the current scope of national and international ePortfolio communities of practice in order to identify the factors that have contributed to their success and sustainability. The study has built on Stage One of the Australian ePortfolio Project (Hallam, Harper, McCowan, Hauville, McAllister, & Creagh, 2008), which outlined the broad range of issues and challenges, as well as significant opportunities, that faced the higher education sector in terms of ePortfolio practice, to determine how the emergent community of ePortfolio researchers and practitioners in Australia might be advanced. ---------- The overarching aims of this project were to focus on building the Australian community of practice through an online forum and further symposium activities. Through the research activities the project sought to generate the following major outcomes: develop a forum within the ALTC Exchange to support an ePortfolio community of practice; develop strategies to encourage interest in and engagement with community of practice activities; develop and promote resources to support the diverse stakeholders in ePortfolio practice; collaborate in the establishment of a cross-sector ePortfolio community of practice; host a second Australian ePortfolio Symposium (AeP2) to disseminate the findings from the Australian ePortfolio Project, to explore innovative practice in ePortfolio use in higher education, to articulate policy developments, and to stimulate discussion on international ePortfolio issues; host an associated trade display as a forum for strengthening the higher education sector’s understanding of the features and functionality of ePortfolio platforms; develop resources to support an ePortfolio symposium model that may be adopted for future events. ----------- The project activities encompassed a survey of stakeholders, a program of semi-structured interviews with community managers and a series of case studies depicting successful ePortfolio communities. The survey of ePortfolio practitioners sought to determine the potential value of an ePortfolio CoP, the preferred focus for and the desired features of such a community, as well as the options for the technical and social architecture of an online forum. Through the semi-structured interviews it was possible to examine current examples of CoP activity, to identify the critical success factors and the challenges faced by individual ePortfolio CoPs, so that the attributes of good practice could be presented. The data collected in the interviews contributed to the development of 14 case studies, which have been beneficial in illustrating the diverse nature of CoPs in Australia and overseas.----------- The report presents a rich picture of national and international ePortfolio communities of practice, with an examination of the factors that have contributed to their success and sustainability.

Mobile learning, social learning

Understanding the future development of interaction design as it applies to learning and training scenarios is crucial to effective development of curriculum and appropriate application of social and mobile communication technologies. As Attewell & Saville-Smith have recognised (2004), the use of mobile communication devices for improved literacy and numeracy is a desirable prospect among young people who represent the average age of undergraduate students. Further, with the growing penetration of broadband internet access, the ubiquity of wireless access in educational locations, the rise of ultra-mobile portable computers and the proliferation of social software applications in educational contexts, there are a growing number of channels for facilitation of learning. Nevertheless, there has been insufficient consideration of the interaction design issues that affect the effective facilitation of such learning. This paper contends that there is a clear need to design mobile and social learning to accommodate the benefits of these diverse channels for interaction. Additionally, there is a need to implement suitable testing processes to ensure participants in mobile and social learning are contributing effectively and maximising their learning. Through the presentation of case studies in mobile and social learning, the paper attempts to demonstrate how considered interaction design techniques can improve the effectiveness of new learning channels.