Modelling as a vehicle for philosophical inquiry in the mathematics curriculum

Philosophical inquiry in the teaching and learning of mathematics has received continued, albeit limited, attention over many years (e.g., Daniel, 2000; English, 1994; Lafortune, Daniel, Fallascio, & Schleider, 2000; Kennedy, 2012a). The rich contributions these communities can offer school mathematics, however, have not received the deserved recognition, especially from the mathematics education community. This is a perplexing situation given the close relationship between the two disciplines and their shared values for empowering students to solve a range of challenging problems, often unanticipated, and often requiring broadened reasoning. In this article, I first present my understanding of philosophical inquiry as it pertains to the mathematics classroom, taking into consideration the significant work that has been undertaken on socio-political contexts in mathematics education (e.g., Skovsmose & Greer, 2012). I then consider one approach to advancing philosophical inquiry in the mathematics classroom, namely, through modelling activities that require interpretation, questioning, and multiple approaches to solution. The design of these problem activities, set within life-based contexts, provides an ideal vehicle for stimulating philosophical inquiry.

Pre-service teachers’ epistemic perspectives about philosophy in the classroom : it is not a bunch of ‘hippie stuff’

Using epistemic perspectives as a theoretical framework, this study investigated Australian pre-service teachers’ perspectives about knowing, knowledge and children’s learning, as they engaged in a semester-long unit on philosophy in the classroom. During the field experience component of the unit, pre-service teachers were required to teach at least one philosophy lesson. Pre-service teachers completed the Personal Epistemological Beliefs Survey at the beginning and end of the unit. They were also interviewed in focus groups at the end of the semester to investigate their views about children’s learning. Paired sample t-tests were used to explore changes in epistemic beliefs over time. Significant differences were found for only some individual items on the survey. However, when interviewed, pre-service teachers indicated that field experiences helped them consider children as competent ‘thinkers’ who were capable of engaging in philosophy in the classroom. They reported predominantly student-centred perspectives of children’s learning, although a process of adjudication (exploring disagreements and evidence for responses) was lacking in these responses.

Becoming a pharmacist : the role of curriculum in professional identity formation

Objective To understand how the formal curriculum experience of an Australian undergraduate pharmacy program supports students’ professional identity formation. Methods A qualitative ethnographic study was conducted over four weeks using participant observation and examined the ‘typical’ student experience from the perspective of a pharmacist. A one-week period of observation was undertaken with each of the four year groups (that is, for years one to four) comprising the undergraduate curriculum. Data were collected through observation of the formal curriculum experience using field notes, a reflective journal and informal interviews with 38 pharmacy students. Data were analyzed thematically using an a priori analytical framework. Results Our findings showed that the observed curriculum was a conventional curricular experience which focused on the provision of technical knowledge and provided some opportunities for practical engagement. There were some opportunities for students to imagine themselves as pharmacists, for example, when the lecture content related to practice or teaching staff described their approach to practice problems. However, there were limited opportunities for students to observe pharmacist role models, experiment with being a pharmacist or evaluate their professional identities. While curricular learning activities were available for students to develop as pharmacists e.g. patient counseling, there was no contact with patients and pharmacist academic staff tended to role model as educators with little evidence of their pharmacist selves. Conclusion These findings suggest that the current conventional approach to the curriculum design may not be fully enabling learning experiences which support students in successfully negotiating their professional identities. Instead it appeared to reinforce their identities as students with a naïve understanding of professional practice, making their future transition to professional practice challenging.

A threshold concepts focus to curriculum design: supporting student learning through application of variation theory

This project develops and evaluates a model of curriculum design that aims to assist student learning of foundational disciplinary ‘Threshold Concepts’. The project uses phenomenographic action research, cross-institutional peer collaboration and the Variation Theory of Learning to develop and trial the model. Two contrasting disciplines (Physics and Law) and four institutions (two research-intensive and two universities of technology) were involved in the project, to ensure broad applicability of the model across different disciplines and contexts. The Threshold Concepts that were selected for curriculum design attention were measurement uncertainty in Physics and legal reasoning in Law. Threshold Concepts are key disciplinary concepts that are inherently troublesome, transformative and integrative in nature. Once understood, such concepts transform students’ views of the discipline because they enable students to coherently integrate what were previously seen as unrelated aspects of the subject, providing new ways of thinking about it (Meyer & Land 2003, 2005, 2006; Land et al. 2008). However, the integrative and transformative nature of such threshold concepts make them inherently difficult for students to learn, with resulting misunderstandings of concepts being prevalent...

Development of a Remote Sensing Core Curriculum submitted for the sessions on educational initiatives in Geoscience and Remote Sensing

A Remote Sensing Core Curriculum (RSCC) development project is currently underway. This project is being conducted under the auspices of the National Center for Geographic Information and Analysis (NCGIA). RSCC is an outgrowth of the NCGIA GIS Core Curriculum project. It grew out of discussions begun at NCGIA, Initiative 12 (I-12): 'Integration of Remote Sensing and Geographic Information Systems'. This curriculum development project focuses on providing professors, teachers and instructors in undergraduate and graduate institutions with course materials from experts in specific subject matter for areas use in the class room.

Does DE need a C? A proposal for a DE curriculum

The vision of a digital earth (DE) is continuously evolving, and the next-generation infrastructures, platforms and applications are being implemented. In this article, we attempt to initiate a debate within the DE and with affine communities about 'why' a digital earth curriculum (DEC) is needed, 'how' it should be developed, and 'what' it could look like. It is impossible to do justice to the Herculean effort of DEC development without extensive consultations with the broader community. We propose a frame for the debate (what, why, and how of a DEC) and a rationale for and elements of a curriculum for educating the coming generations of digital natives and indicate possible realizations. We particularly argue that a DEC is not a déjà vu of classical research and training agendas of geographic information science, remote sensing, and similar fields by emphasizing its unique characteristics.

Internet teaching foundation for the Remote Sensing Core Curriculum program

The Remote Sensing Core Curriculum (RSCC) was initiated in 1993 to meet the demands for a college-level set of resources to enhance the quality of education across national and international campuses. The American Society of Photogrammetry and Remote Sensing adopted the RSCC in 1996 to sustain support of this educational initiative for its membership and collegiate community. A series of volumes, containing lectures, exercises, and data, is being created by expert contributors to address the different technical fields of remote sensing. The RSCC program is designed to operate on the Internet taking full advantage of the World Wide Web (WWW) technology for distance learning. The issues of curriculum development related to the educational setting, with demands on faculty, students, and facilities, is considered to understand the new paradigms for WWW-influenced computer-aided learning. The WWW is shown to be especially appropriate for facilitating remote sensing education with requirements for addressing image data sets and multimedia learning tools. The RSCC is located at http://www.umbc.edu/rscc. The Remote Sensing Core Curriculum (RSCC) was initiated in 1993 to meet the demands for a college-level set of resources to enhance the quality of education across national and international campuses. The American Society of Photogrammetry and Remote Sensing adopted the RSCC in 1996 to sustain support of this educational initiative for its membership and collegiate community. A series of volumes, containing lectures, exercises, and data, is being created by expert contributors to address the different technical fields of remote sensing. The RSCC program is designed to operate on the Internet taking full advantage of the World Wide Web (WWW) technology for distance learning. The issues of curriculum development related to the educational setting, with demands on faculty, students, and facilities, is considered to understand the new paradigms for WWW-influenced computer-aided learning. The WWW is shown to be especially appropriate for facilitating remote sensing education with requirements for addressing image data sets and multimedia learning tools. The RSCC is located at http://www.umbc.edu/rscc.

Mandate for remote sensing education and the remote sensing core curriculum

Consensus was developed by the remote sensing community during the 1980s and early 1990s regarding the need for an organized approach to teaching remote sensing fundamentals for collegiate institutions. Growth of the remote sensing industry might be seriously hampered without concerted efforts to bolster the capacity to teach state-of-the-practice remote sensing theory and practice to the next generation of professionals. A concerted effort of educators, researchers, government, and industry began in 1992 to meet these demands leading to the creation of the Remote Sensing Core Curriculum. The RSCC is currently sustained by cooperative efforts of the ASPRS, ICRSE, NASA, NCGIA, and others in the remote sensing community. Growth of the RSCC into the K-12 community resulted from its Internet teaching foundation that enables comprehensive and response reference links to the whole of the education community.

Curriculum to the classroom : investigating the spatial practices of curriculum implementation in Queensland schools and its implications for teacher education

Change is something that both pre-service and practising teachers face regularly throughout their professional lives. Curriculum change and consequential implementation is a case in point. This paper investigates the perspectives of a number of school-based stakeholders in regard to the implementation of the C2C materials in Queensland schools and how this has potential consequences for teacher education programs. It shows that often contradictory spaces emerge in regard to curriculum enactment and argues that a ‘one size fits all’ approach is not the most effective way to implement new curriculum. A transformative third space is offered whereby teachers are accorded with a voice in the way in which implementation occurs; ultimately allowing pre-service teachers to learn important skills required to be effective teachers.

The ‘Indigenous Australian’ theme in the Australian Curriculum English : necessary or not?

On Friday 10 January 2014 Education Minister Christopher Pyne formally announced a review of the inaugural Australian curriculum. In his three and half minute televised justification, Pyne (2014) identified a number of criticisms of the national curriculum document, including the ‘necessity to have themes’ of ‘Australia’s place in Asia, Indigenous Australia and sustainability’. It is the second of these themes that we consider as ALEA’s Hot Topic for March 2014. We respond to Pyne’s momentary musing of the necessity of the ‘Indigenous Australian’ theme in the Australian Curriculum with a particular focus on the discipline of English. In the nomenclature of the Australian Curriculum, Assessment and Reporting Authority’s Australian Curriculum (ACARA, 2013), we are of course referring to the ‘cross curriculum priority’ of ‘Aboriginal and Torres Strait Islander histories and cultures’.

Higher Education and Sustainable Development : A Model for Curriculum Renewal

Responding to the global and unprecedented challenge of capacity building for twenty-first century life, this book is a practical guide for tertiary education institutions to quickly and effectively renew the curriculum towards education for sustainable development. The book begins by exploring why curriculum change has been so slow. It then describes a model for rapid curriculum renewal, highlighting the important roles of setting timeframes, formal and informal leadership, and key components and action strategies. The second part of the book provides detailed coverage of six core elements that have been trialled and peer reviewed by institutions around the world: - raising awareness among staff and students - mapping graduate attributes - auditing the curriculum - developing niche degrees, flagship courses and fully integrated programs - engaging and catalysing community and student markets - integrating curriculum with green campus operations. With input from more than seventy academics and grounded in engineering education experiences, this book will provide academic staff with tools and insights to rapidly align program offerings with the needs of present and future generations of students.

Fostering rapid transitions to education for sustainable development through a whole-system approach to curriculum and organizational change

Despite decades of attempts to embed sustainability within higher education, literature clearly suggests that highly regulated disciplines such as engineering have been relatively slow to incorporate sustainability knowledge and skill areas, and are generally poorly prepared to do so. With current efforts, it is plausible that sustainability could take another two decades to be embedded within the curriculum. Within this context, this paper presents a whole system approach to implement systematic, intentional and timely curriculum renewal that is responsive to emerging challenges and opportunities, encompassing curriculum and organizational change. The paper begins by considering the evolution of curriculum renewal processes, documenting a number of whole system considerations that have been empirically distilled from literature, case studies, pilot trials, and a series of workshops with built environment educators from around the world over the last decade. The paper outlines a whole-of-institution curriculum renewal approach to embedding sustainability knowledge and skills within the DNA of the institutional offerings. The paper concludes with a discussion of research and practice implications for the field of education research, within and beyond higher education.

Vocational education in science technology, engineering and maths (STEM) : Curriculum innovation through industry school partnerships

Governments have recognised that the technological trades rely on knowledge embedded traditionally in science, technology, engineering and mathematics (STEM) disciplines. In this paper, we report preliminary findings on the development of two curricula that attempt to integrate science and mathematics with workplace knowledge and practices. We argue that these curricula provide educational opportunities for students to pursue their preferred career pathways. These curricula were co-developed by industry and educational personnel across two industry sectors, namely, mining and aerospace. The aim was to provide knowledge appropriate for students moving from school to the workplace in the respective industries. The analysis of curriculum and associated policy documents reveals that the curricula adopt applied learning orientations through teaching strategies and assessment practices which focus on practical skills. However, although key theoretical science and maths concepts have been well incorporated, the extent to which knowledge deriving from workplace practices is included varies across the curricula. Our findings highlight the importance of teachers having substantial practical industry experience and the role that whole school policies play in attempts to align the range of learning experiences with the needs of industry.

Informing engineering education for sustainable development using a deliberative dynamic model for curriculum renewal

Literature from around the world clearly suggests that engineering education has been relatively slow to incorporate significant knowledge and skill areas, including the rapidly emerging area of sustainable development. Within this context, this paper presents the findings of research that questioned how engineering educators could consistently implement systematic and intentional curriculum renewal that is responsive to emerging engineering challenges and opportunities. The paper presents a number of elements of systematic and intentional curriculum renewal that have been empirically distilled from a qualitative multiple-method iterative research approach including literature review, narrative enquiry, pilot trials and peer-review workshops undertaken by the authors with engineering educators from around the world. The paper also presents new knowledge arising from the research, in the form of a new model that demonstrates a dynamic and deliberative mechanism for strategically accelerating for curriculum renewal efforts. Specifically the paper discusses implications of this model to achieve education for sustainable development, across all disciplines of engineering. It concludes with broader research and practice implications for the field of education research.

‘Redstone is like electricity’: Children's performative representations in and around Minecraft

In this article, we investigate eight and nine year old girls’ school and home use of the popular game Minecraft and the ways in which the girls ‘bring themselves into being’ through talk and digital production in the social spaces of the classroom and within the game’s multiplayer online world. This work was conducted as part of a broader digital games in education project involving primary and secondary school-aged students in Australia and focuses specifically on data collected from an all-girls primary school in Brisbane. We investigate the processes of identity construction that occur as the girls undertake practices of curatorship (Potter, 2012) to display their knowledge of Minecraft through discussion of the game, both ‘in world’ and in face-to-face interactions, and as they assemble resources within and around the game to design, build and display their creations and share stories about their game play. The article begins with a consideration of recent scholarship focussing on children, learning and digital culture and literacy practices before explaining how Minecraft is, in many ways, an exemplary instance of a digital game that promotes and enables complex practices of digital participation. We then introduce the concepts of performativity and recognition (Butler 1990, 2004, 2005) which, we argue, provide productive ways to theorise identity work within affinity groups. The article then outlines some background to the research project and our methodology before providing analysis of the data in the second half of the article. We conclude by outlining the implications of our investigation for the conceptualisation of learning spaces as affinity groups and for considering digital participation as curatorship.