910 resultados para Mathematics teacher


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The space and positioning of Indigenous knowledges (IK) within Australian curricula and pedagogy are often contentious, informed by the broader Australian socio-cultural, political and economic landscape. Against changing educational policy, historically based on the myth of terra nullius, we discuss the shifting priorities for embedding Indigenous knowledges in educational practice in university and school curricula and pedagogy. In this chapter, we argue that personal and professional commitment to social justice is an important starting point for embedding Indigenous knowledges in the Australian school curricula and pedagogy. Developing teacher knowledge around embedding IK is required to enable teachers’ preparedness to navigate a contested historical/colonising space in curriculum decision-making, teaching and learning. We draw one mpirical data from a recent research project on supporting pre-service teachers as future curriculum leaders; the project was funded by the Office of Learning and Teaching (OLT). This project aimed to support future curriculum leaders to develop their knowledge of embedding IK at one Australian university. We propose supporting the embedding of IK in situ with pre-service teachers and their supervising teachers on practicum in real, sustained and affirming ways that shifts the recognition of IK from personal commitment to social justice in education, to one that values Indigenous knowledges as content to educate (Connell, 1993). We argue that sustained engagement with and appreciation of IKhas the potential to decolonise Australian curricula, shift policy directions and enhance race relations between Indigenous and non-Indigenous Australians .

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Establishing communities of practice is a tenuous process fraught with a multiplicity of experiences and artefacts that come together and either strengthen or hinder the practice. In this chapter a diverse group of teacher educators reflect on their experience of being brought together to form a community of practice in the scholarship of teaching. Their task was to collaboratively consider and problem solve some of the key issues currently impacting on teacher education, and more broadly on higher education. How the group negotiated shared meaning and purpose is a focus of the chapter. There were many challenges and issues that the group needed to collaboratively and individually solve before progressing towards shared meaning. The experiences of the assigned leaders of this group are also considered, yet it is the evolving understanding of leadership through collaboration that is of greater importance. The interplay of the experiences of all group members along with the artefacts and practices that reify the group’s purpose are considered. We explore how the group members began to understand how to work collaboratively across the boundaries of their disciplines, and how reflecting on their learning and participation in this group enabled them to work through issues that were constraining their progress.

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Dissecting how genetic and environmental influences impact on learning is helpful for maximizing numeracy and literacy. Here we show, using twin and genome-wide analysis, that there is a substantial genetic component to children’s ability in reading and mathematics, and estimate that around one half of the observed correlation in these traits is due to shared genetic effects (so-called Generalist Genes). Thus, our results highlight the potential role of the learning environment in contributing to differences in a child’s cognitive abilities at age twelve.

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Early Childhood Education (ECE) has a long history of building foundations for children to achieve their full potential, enabling parents to participate in the economy while children are cared for, addressing poverty and disadvantage, and building individual, community and societal resources. In so doing, ECE has developed a set of cultural practices and ways of knowing that shape the field and the people who work within it. ECE, consequently, is frequently described as unique and special (Moss, 2006; Penn, 2011). This works to define and distinguish the field while, simultaneously, insulating it from other contexts, professions, and ideas. Recognising this dualism illuminates some of the risks and challenges of operating in an insular and isolated fashion. In the 21st century, there are new challenges for children, families and societies to which ECE must respond if it is to continue to be relevant. One major issue is how ECE contributes to transition towards more sustainable ways of living. Addressing this contemporary social problem is one from which Early Childhood teacher education has been largely absent (Davis & Elliott, 2014), despite the well recognised but often ignored role of education in contributing to sustainability. Because of its complexity, sustainability is sometimes referred to as a ‘wicked problem’ (Rittel & Webber, 1973; Australian Public Service Commission, 2007) requiring alternatives to ‘business as usual’ problem solving approaches. In this chapter, we propose that addressing such problems alongside disciplines other than Education enables the Early Childhood profession to have its eyes opened to new ways of thinking about our work, potentially liberating us from the limitations of our “unique” and idiosyncratic professional cultures. In our chapter, we focus on understandings of culture and diversity, looking to broaden these by exploring the different ‘cultures’ of the specialist fields of ECE and Design (in this project, we worked with students studying Architecture, Industrial Design, Landscape Architecture and Interior Design). We define culture not as it is typically represented, i.e. in relation to ideas and customs of particular ethnic and language groups, but to the ideas and practices of people working in different disciplines and professions. We assert that different specialisms have their own ‘cultural’ practices. Further, we propose that this kind of theoretical work helps us to reconsider ways in which ECE might be reframed and broadened to meet new challenges such as sustainability and as yet unknown future challenges and possibilities. We explore these matters by turning to preservice Early Childhood teacher education (in Australia) as a context in which traditional views of culture and diversity might be reconstructed. We are looking to push our specialist knowledge boundaries and to extend both preservice teachers and academics beyond their comfort zones by engaging in innovative interdisciplinary learning and teaching. We describe a case study of preservice Early Childhood teachers and designers working in collaborative teams, intersecting with a ‘real-world’ business partner. The joint learning task was the design of an early learning centre based on sustainable design principles and in which early Education for Sustainability (EfS) would be embedded Data were collected via focus group and individual interviews with students in ECE and Design. Our findings suggest that interdisciplinary teaching and learning holds considerable potential in dismantling taken-for-granted cultural practices, such that professional roles and identities might be reimagined and reconfigured. We conclude the chapter with provocations challenging the ways in which culture and diversity in the field of ECE might be reconsidered within teacher education.

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This volume captures the innovative, theory-based, and grounded work being done by established scholars who are interrogating how teacher education can prepare teachers to work in challenging and diverse high-poverty settings. It offers articles from the US, Australia, Canada, the UK and Chile by some of the most significant scholars in the field. Internationally, research suggests that effective teachers for high poverty schools require deep theoretical understanding as well as the capacity to function across three well-substantiated areas: deep content knowledge, well-tuned pedagogical skills, and demonstrated attributes that prove their understanding and commitment to social justice. Schools in low socioeconomic communities need quality teachers most, however, they are often staffed by the least experienced and least prepared teachers. The chapters in this volume examine how pre-service teachers are taught to understand the social contexts of education. Drawing on the individual expertise of the authors, the topics covered include unpacking poverty for pre-service teachers, issues related to urban schooling as well as remote and regional area schooling.

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This chapter focuses on teacher education for high-poverty schools in Australia and suggests that a contextualization of poverty is an important step in identifying solutions to the persistent gaps in how teachers are prepared to teach in schools where they can make a lasting difference. Understanding how poverty looks different between and within different countries provides a reminder of the complexities of disadvantage. Similarities exist within OECD countries; however, differences are also evident. This is something that initial teacher education (ITE) solutions need to take into account. While Australia has a history of initiatives designed to address teacher education for high-poverty schools, this chapter provides a particular snapshot of Australia’s National Exceptional Teachers for Disadvantaged Schools program (NETDS), a large-scale, national partnership between universities and Departments of Education, which is partially supported by philanthropic funding.

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STEM education faces an interesting conundrum. Western countries have implemented constructivist inspired student centred practices which are argued to be more engaging and relevant to student learning than the traditional, didactic approaches. However, student interest in pursuing careers in STEM have fallen or stagnated. In contrast, students in many developing countries in which teaching is still somewhat didactic and teacher centred are more disposed to STEM related careers than their western counterparts. Clearly, factors are at work which impact the way students value science and mathematics. This review draws on three components that act as determinants of science education in three different countries – Australia, India and Malaysia. We explore how national priorities and educational philosophy impacts educational practices as well as teacher beliefs and the need for suitable professional development. Socio-economic conditions for science education that are fundamental for developing countries in adopting constructivist educational models are analysed. It is identified that in order to reduce structural dissimilarities among countries that cause fragmentation of scientific knowledge, for Malaysia constructivist science education through English medium without losing the spirit of Malaysian culture and Malay language is essential while India need to adopt constructivist quality indicators in education. While adopting international English education, and reducing dominance of impact evaluation, India and Malaysia need to prevent losing their cultural and social capital vigour. Furthermore the paper argues that Australia might need to question the efficacy of current models that fail to engage students’ long term interest in STEM related careers. Australian and Malaysian science teachers must be capable of changing the personal biographies of learners for developing scientific conceptual information. In addition both Malaysia and Australia need to provide opportunities for access to different curricular programmes of knowledge based constructivist learning for different levels of learner competencies.

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This paper reports on the fourth stage of an evolving study to develop a systems model for embedding education for sustainability (EfS) into pre-service teacher education. The fourth stage trialled the extension of the model to a comprehensive state-wide systems approach involving representatives from all eight Queensland teacher education institutions and other key policy agencies and professional associations. Support for trialling the model included regular meetings among the participating representatives and an implementation guide. This paper describes the first three stages of developing and trialling the model before presenting the case study and action research methods employed, four key lessons learned from the project, and the implications of the major outcomes for teacher education policies and practices. The Queensland-wide multi-site case study revealed processes and strategies that can enable institutional change agents to engage productively in building capacity for embedding EfS at the individual, institutional and state levels in pre-service teacher education. Collectively, the project components provide a system-wide framework that offers strategies, examples, insights and resources that can serve as a model for other states and/or territories wishing to implement EfS in a systematic and coherent fashion.

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One of the most fundamental questions in the philosophy of mathematics concerns the relation between truth and formal proof. The position according to which the two concepts are the same is called deflationism, and the opposing viewpoint substantialism. In an important result of mathematical logic, Kurt Gödel proved in his first incompleteness theorem that all consistent formal systems containing arithmetic include sentences that can neither be proved nor disproved within that system. However, such undecidable Gödel sentences can be established to be true once we expand the formal system with Alfred Tarski s semantical theory of truth, as shown by Stewart Shapiro and Jeffrey Ketland in their semantical arguments for the substantiality of truth. According to them, in Gödel sentences we have an explicit case of true but unprovable sentences, and hence deflationism is refuted. Against that, Neil Tennant has shown that instead of Tarskian truth we can expand the formal system with a soundness principle, according to which all provable sentences are assertable, and the assertability of Gödel sentences follows. This way, the relevant question is not whether we can establish the truth of Gödel sentences, but whether Tarskian truth is a more plausible expansion than a soundness principle. In this work I will argue that this problem is best approached once we think of mathematics as the full human phenomenon, and not just consisting of formal systems. When pre-formal mathematical thinking is included in our account, we see that Tarskian truth is in fact not an expansion at all. I claim that what proof is to formal mathematics, truth is to pre-formal thinking, and the Tarskian account of semantical truth mirrors this relation accurately. However, the introduction of pre-formal mathematics is vulnerable to the deflationist counterargument that while existing in practice, pre-formal thinking could still be philosophically superfluous if it does not refer to anything objective. Against this, I argue that all truly deflationist philosophical theories lead to arbitrariness of mathematics. In all other philosophical accounts of mathematics there is room for a reference of the pre-formal mathematics, and the expansion of Tarkian truth can be made naturally. Hence, if we reject the arbitrariness of mathematics, I argue in this work, we must accept the substantiality of truth. Related subjects such as neo-Fregeanism will also be covered, and shown not to change the need for Tarskian truth. The only remaining route for the deflationist is to change the underlying logic so that our formal languages can include their own truth predicates, which Tarski showed to be impossible for classical first-order languages. With such logics we would have no need to expand the formal systems, and the above argument would fail. From the alternative approaches, in this work I focus mostly on the Independence Friendly (IF) logic of Jaakko Hintikka and Gabriel Sandu. Hintikka has claimed that an IF language can include its own adequate truth predicate. I argue that while this is indeed the case, we cannot recognize the truth predicate as such within the same IF language, and the need for Tarskian truth remains. In addition to IF logic, also second-order logic and Saul Kripke s approach using Kleenean logic will be shown to fail in a similar fashion.

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This is presentation of the refereed paper accepted for the Conferences' proceedings. The presentation was given on Tuesday, 1 December 2015.

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As is the case globally, Australian schools that serve high-poverty communities most often employ the least experienced, least prepared teachers. Beginning with a discussion of poverty in Australia this chapter draws on 6 years of learnings from Australia's National Exceptional Teachers for Disadvantaged Schools (NETDS) program to examine how social justice can be taught within a mainstream Initial Teacher Education program in an increasingly neoliberal climate where teacher education curriculum around social justice struggles to find a place within the current discourses of quality teaching and its preoccupations with standards, accountability, and high-stakes testing.

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Learning mathematics is a complex and dynamic process. In this paper, the authors adopt a semiotic framework (Yeh & Nason, 2004) and highlight programming as one of the main aspects of the semiosis or meaning-making for the learning of mathematics. During a 10-week teaching experiment, mathematical meaning-making was enriched when primary students wrote Logo programs to create 3D virtual worlds. The analysis of results found deep learning in mathematics, as well as in technology and engineering areas. This prompted a rethinking about the nature of learning mathematics and a need to employ and examine a more holistic learning approach for the learning in science, technology, engineering, and mathematics (STEM) areas.