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]

Youth media production and technology skills acquisition : opportunities for agency

This chapter explores youth media production involving video games within a formal media education context. It investigates the possibilities for agency in student production contexts where emphasis is on the acquisition of technological skills. It explores alternatives to the well-established approach to media education that aims to develop students’ critical reading capacities as a means to agency. The chapter discusses some of the implications of the differences between youth production with ‘older’ technologies like video and new forms like multimedia production. It also discusses theories of agency as they relate to media education and the challenges of considering agency in relation to new media production. Post structuralist concepts are introduced and used as the basis to explore opportunities for agency in the context of students designing and producing aspects of video games. The chapter argues that the creative and experimental work students undertake while using software to make games artefacts opens up possibilities for agency.

Making literacy policy and practice with a difference : generational change, professionalisation and literate futures

This article has been edited from a transcript of the keynote address to the combined ALEA/MTE National Conference, Hobart, Tasmania, August 2001. In this talk Allan reflects on some of the difficulties facing makers of literacy policy in 'New Times'. His reflections are informed by some important research that is having an impact· on literacy teaching in Australia and he raises various issues, ranging from what he sees as a 'dumbing down' of curriculum, to addressing the needs of'at risk' students, to issues of lifelong education in a rapidly changing world.

Literacy and Educational Fundamentalism: An Interview

An interview on literacy at McGill University, 2003.

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.

Students’ conceptual knowledge about workplace pedagogies and applications to learning in the workplace

The development of effective workplace pedagogies is integral to work-integrated and work-based learning. The workplace pedagogies that facilitate and support learning include: activities in which individuals engage such as daily work practices, questioning; observing, and listening; interactions with more experienced workers through coaching and modelling; and referencing documented procedures. Each of these dimensions is significant in enhancing processes of workplace learning. Learning can be optimised when these pedagogies are appropriately embedded in the context of and process of participating in normal work activities. Yet learners need to understand the nature of these pedagogies, and how and for what purposes to use these to achieve a range of learning outcomes. This is because it is the worker-learners who play the key roles in the process and outcomes of learning through work. A pilot study was conducted on students’ conceptions of how each of these dimensions of workplace pedagogy help their learning, by providing examples of learning from these sources; and stating their preferences for learning in the workplace. A sample of seventeen students, enrolled in the second year of a Diploma in Nursing course at a Technical and Further Education institution, participated in a survey intended to capture these conceptions and the importance attached to each of them. The findings indicate that these students have basic understanding of how each of seven workplace pedagogic practices can contribute to their learning. They reported relying mostly on daily practices, observing and listening to others, modelling, coaching, and other workers. Their selection of these contributions emphasise significant opportunities for guided learning by others, yet suggest fewer student-initiated interactions, less intensity in interactions, and likelihood that learning is more passive. The data also suggests that these students rely mostly on using academic learning skill, and limited workplace learning skills. It is proposed, therefore, that the knowledge and understandings about workplace learning and pedagogies might be best embedded in the full curriculum and not become add-on shortly before students go on work placement. This approach will allow students to appreciate the significance and use of workplace pedagogies for learning.

Making the most of MiLK : harnessing the contemporary culture and interests of natural born cyborg

MiLK is a mobile learning kit that allows students and teachers to author their own place-based learning events using simple web and mobile technologies. We will demonstrate how MiLK has been used by a number of teachers in various contexts to connect students, curriculum and everyday environments. This workshop will introduce participants to the various MiLK tools and processes; including mapping, designing, playing and reviewing events, group journals, discussion forums, student profiles, and class profiles. We will focus on the role of place as a potential resource for curriculum design and delivery. The MiLK Team are looking for enthusiastic mobile technology champions to join us. No previous experience or training in this area is needed. This workshop is designed to be relevant to all KLAs. During this session teachers will have an opportunity to experiment with simple tools to create dynamic resources for their own classrooms.

Creating deep and broad change through research and systems approaches in early childhood education for sustainability

The co-authors raise two matters they consider essential for the future development of ECEfS. The first is the need to create deep foundations based in research. At a time of increasing practitioner interest, research in ECEfS is meagre. A robust research community is crucial to support quality in curriculum and pedagogy, and to promote learning and innovation in thinking and practice. The second 'essential' for the expansion and uptake of ECEfS is broad systemic change. All level within the early childhood education system - individual teachers and classrooms, whole centres and schools, professional associations and networks, accreditation and employing authorities, and teacher educators - must work together to create and reinforce the cultural and educational changes required for sustainability. This chapter provides explanations of processes to engender systemic change. It illustrates a systems approach, with reference to a recent study focused on embedding EfS into teacher education. This study emphasises the apparent contradiction that the answer to large-scale reform lies with small-scale reforms that build capacity and make connections.

Early childhood education for sustainability : why it matters, what it is, and how whole centre action research and systems thinking can help

The global financial crisis, global pandemics, global warming and peak oil are indicative of a world facing major environmental, social and economic problems. At the same time, world population continues to rise and global inequalities deepen. Children are the most vulnerable to the impacts of unsustainable living with specific harms arising because of their physical and cognitive vulnerabilities. Nevertheless, children do not have to be victims in the face of these challenges. Education, including early childhood education, has an important role to in building resilience and capabilities in children that equip them as active and informed citizens now and in the future and who are capable of contributing to healthy and sustainable ways of living. Drawing on educational change literature, action research, education for sustainability, health promotion and systems theory, this paper outlines three strategies that can help reorient early childhood education towards sustainability. One strategy is the adoption of whole centre approaches to sustainability and education for sustainability. This means working across the whole of a centre’s operations – curriculum and pedagogy, physical and social environments, its partnerships and community connections. The second strategy – applied in conjunction with the first – is the use of action research to investigate the early childhood setting and to create the desired changes. The third strategy is the adoption of systems thinking as a way of leveraging support and momentum for change so that education for sustainability goes beyond the initiatives of individual teachers and centres, and becomes a systems-wide imperative.

Will the Australian national curriculum up the intellectual ante in classrooms?

A critical review of the current and potential impacts of the Australian National Curriculum on the enacted curriculum in primary schools, with specific attention to issues of equity and social justice.

Copyright, digital media literacies and preservice teacher education

This article considers copyright knowledge and skills as a new literacy that can be developed through the application of digital media literacy pedagogies. Digital media literacy is emerging from more established forms of media literacy that have existed in schools for several decades and have continued to change as the social and cultural practices around media technologies have changed. Changing requirements of copyright law present specific new challenges for media literacy education because the digitisation of media materials provides individuals with opportunities to appropriate and circulate culture in ways that were previously impossible. This article discusses a project in which a group of preservice media literacy educators were introduced to knowledge and skills required for the productive and informed use of different copyrights frameworks. The students’ written reflections and video production responses to a series of workshops about copyright are discussed, as are the opportunities and challenges provided by copyright education in preservice teacher education.

Literacy and religion : the textual politics and practice of Seventh-day Adventism

This book explores the interrelation of literacy and religion as practiced by Western Christians in, first, historical contexts and, second, in one contemporary church setting. Using both a case study and a Foucauldian theoretical framework, the book provides a sustained analysis of the reciprocal discursive construction of literacy, religiosity and identity in one Seventh-day Adventist Church community of Northern Australia. Critical linguistic and discourse analytic theory is used to disclose processes of theological (church), familial (home) and educational (school) normalisation of community members into regulated ways of hearing and speaking, reading and writing, being and believing. Detailed analyses of spoken and written texts taken from institutional and local community settings show how textual religion is an exemplary technology of the self, a politics constituted by canonical texts, interpretive norms, textual practices, ritualised events and sociopolitical protocols that, ultimately, are turned in upon the self. The purpose of these analyses is to show how, across denominational difference in belief (tradition) and practice, particular versions of self and society are constructed through economies of truth from text, enabling and constraining what can and cannot be spoken and enacted by believers.

A model for engaging and evaluating innovative cross-sectoral education reform : case studies from Queensland, Australia

This paper will explore how a general education can contribute successfully to vocational outcomes using both Participatory Action Research (PAR) and Program Theory methodology. The paper will focus on the development aspects of ‘marrying’ vocational and general education including engagement processes, student, teacher, institute and employer preparation and the pathway possibilities that emerge. Successful cases presented include the: Healthy Futures program (pathways into the Health and Allied industries); Accounting Pathways program (simultaneously studying a general Accounting subject and a Certificate III vocational qualification); and Sustainable Sciences initiative (development of a vocational qualification that focuses on the emerging renewable energy industry and is linked to school science programs). The case studies have been selected because they are unique in character and application and can be used as a basis for future program development in other settings or curriculum areas.