971 resultados para mathematics curriculum reform


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The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by “continuing education as usual” (The National Academies, 2009). With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualization. These technologies have led to significant changes in the forms of mathematical thinking that are required beyond the classroom. This paper argues for the need to incorporate future-oriented understandings and competencies within the mathematics curriculum, through intellectually stimulating activities that draw upon multidisciplinary content and contexts. The paper also argues for greater recognition of children’s learning potential, as increasingly complex learners capable of dealing with cognitively demanding tasks.

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In a world of constant and rapid change there are greater demands placed on learners to not only gain content knowledge, but also to develop learning skills and to adopt new strategies that will enable them to produce better and faster learning outcomes. Especially in internationally advancing nations like Kuwait this will be a major challenge of the future. This literature review examines theoretical frameworks that enhance Kuwaiti teachers’ knowledge and skill to adopt culturally relevant reform practices across a number of disciplines and provide guidance in an exploration and use of newer pedagogical tools like graphic organisers. It analyses the effects of graphic organisers on higher order learning and evaluates how they can effect professional development and pedagogical change in Kuwait.

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In a rapidly changing world where new work patterns impact on our health, relationships and social fabric, it is critical that we reconsider the role universities could or should play in helping students prepare for the complexities of the 21st century. Efforts to respond to economic imperatives such as the skills shortage have seen a rush to embed work integrated and career development learning in the curriculum as well as a strengthening of the discourse that the university’s role is primarily to produce industry ready or ‘oven ready and self basting’ graduates (Atkins, 1999). This narrow focus on ‘giving industry what industry wants’ (Patrick, Peach & Pocknee, 2009) ignores the importance of helping students develop the types of skills and dispositions they will need. To enable students to thrive not just survive socially and economically in a radically unknowable world, where knowledge becomes obsolete, we need to be ready to develop new futures (Barnett, 2004). This paper considers the concept of ‘work’, the role it plays in our lives, and our aspirations to build sustainable, socially connected communities. We revisit the assumptions underlying the employability argument (Atkins, 1999) in the light of changing notions of work (Hagel, Seely Brown & Davison, 2010), and the need for higher education to contribute to a better and more sustainable society (Pocock, 2003). Specifically we present initiatives developed from work integrated learning (WIL) programs in the United Kingdom and Australia, where WIL programs are framed within the broader context of real world and life-wide curriculum (Jackson, 2010), and where transferable skills and elements of work-related learning programs prepare students for less certain job futures. Such approaches encourage students to take an agentic role (Billett & Pavlova, 2005) in selecting their work possibilities to develop resilience and capabilities to deal with new and challenging situations, assisting students to become who they want to be not just what they want to be. The theoretical and operational implications and challenges of shaping real world and life-wide curriculum will be investigated in more depth in the next phase of this research.

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The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by “continuing education as usual” (The National Academies, 2009). With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualization. These technologies have led to significant changes in the forms of mathematical thinking that are required beyond the classroom. This paper argues for the need to incorporate future-oriented understandings and competencies within the mathematics curriculum, through intellectually stimulating activities that draw upon multidisciplinary content and contexts. The paper also argues for greater recognition of children’s learning potential, as increasingly complex learners capable of dealing with cognitively demanding tasks.

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Global and national agenda for quality education led to reform in Papua New Guinea (PNG) based on the provision of quality basic education. “Education for All” (EFA) is a worldwide emphasis on the review and restructure of existing curriculum and teacher training programs to provide quality education and quality life. The provision of quality education is seen as an investment in developing countries including PNG. Quality education is facilitated through structural and curriculum reform, and teacher education programs. One such influence on quality education in teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice (Kember & Kwan, 2000; Prosser & Trigwell, 2004). However, there is no research focusing on perspectives of teaching for elementary education in PNG. This single exploratory case study (Yin, 2009) investigated the perspectives of teaching of eighteen elementary teacher trainers and their five mentors in the context of an Australian university Bachelor of Early Childhood (in teacher education) degree programme. The study drew on an interpretivist paradigm to analyse journals, semi-structured interviews and course planning documents using a thematic approach to data analysis (Braun & Clark, 2006). The findings revealed that participants held perspectives of teaching related to teaching children and teaching adults. The perspective of teaching children described by the trainers and mentors was learning-centred (the focus is on what the teacher does); while the perspective of teaching adults was both learning-centred and learner-centred (the focus is on what the learner does). The learning-centred perspective is at odds with the learner-centred perspective espoused in the PNG reform. The perspectives of teaching adults reflected a culturally nuanced view; providing insights about how teaching and learning are understood in different sociocultural contexts. Based on these findings, the study proposes a perspective of teaching for elementary education in PNG known as culturally connected teaching. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context. This perspective has implications for teacher training and the communities involved in elementary education.

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Sustainability has emerged as a primary context for engineering education in the 21st Century, particularly the sub-discipline of chemical engineering. However, there is confusion over how to go about integrating sustainability knowledge and skills systemically within bachelor degrees. This paper addresses this challenge, using a case study of an Australian chemical engineering degree to highlight important practical considerations for embedding sustainability at the core of the curriculum. The paper begins with context for considering a systematic process for rapid curriculum renewal. The authors then summarise a 2-year federally funded project, which comprised piloting a model for rapid curriculum renewal led by the chemical engineering staff. Model elements contributing to the renewal of this engineering degree and described in this paper include: industry outreach; staff professional development; attribute identification and alignment; program mapping; and curriculum and teaching resource development. Personal reflections on the progress and process of rapid curriculum renewal in sustainability by the authors and participating engineering staff will be presented as a means to discuss and identify methodological improvements, as well as highlight barriers to project implementation. It is hoped that this paper will provide an example of a formalised methodology on which program reform and curriculum renewal for sustainability can be built upon in other higher education institutions.

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Social education in Australia is a divisive educational issue. The last decade has been marked by the controversial integrated social studies curriculum, Studies of Society and Environment (SOSE) where history, geography and environmental studies were integrated with civics and citizenship. The introduction of a compulsory K-10 Australian Curriculum from 2011, however, marks the return to history and geography and the abandonment of SOSE. Curriculum reform aside, what do teachers think is essential knowledge for middle years social education? The paper reports on a phenomenographical exploration of thirty-one middle school teachers’ conceptions of essential knowledge for SOSE. Framed by Shulman’s (1986, 1987) theoretical framework of the knowledge base for teaching, the research identified seven qualitatively different ways of understanding essential knowledge for social education. The study indicates a professional practice-based theorisation of social education that justifies attention to discipline-based knowledge and teacher identity in the middle years.

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There is an increasing expectation that early childhood teachers will be pedagogical leaders, particularly in a global context of curriculum reform. This paper reports on the distributed leadership experiences of early childhood teachers’ during the 2003 Preparatory Year (Prep) trial in Queensland, Australia. In 2010, 13 of the first Prep teachers participated in interviews to discuss their definitions of leadership and reflect on the opportunities they had to lead curriculum development during and since the 2003 trial. Data were examined using a conceptual framework based on the work of Woods et al. (2004), with a focus on the structural and agential aspects of distributed leadership. Participants identified a range of contextual influences, challenges, skills and enabling strategies that illustrate the complexities in leading curriculum.

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The SimCalc Vision and Contributions Advances in Mathematics Education 2013, pp 419-436 Modeling as a Means for Making Powerful Ideas Accessible to Children at an Early Age Richard Lesh, Lyn English, Serife Sevis, Chanda Riggs … show all 4 hide » Look Inside » Get Access Abstract In modern societies in the 21st century, significant changes have been occurring in the kinds of “mathematical thinking” that are needed outside of school. Even in the case of primary school children (grades K-2), children not only encounter situations where numbers refer to sets of discrete objects that can be counted. Numbers also are used to describe situations that involve continuous quantities (inches, feet, pounds, etc.), signed quantities, quantities that have both magnitude and direction, locations (coordinates, or ordinal quantities), transformations (actions), accumulating quantities, continually changing quantities, and other kinds of mathematical objects. Furthermore, if we ask, what kind of situations can children use numbers to describe? rather than restricting attention to situations where children should be able to calculate correctly, then this study shows that average ability children in grades K-2 are (and need to be) able to productively mathematize situations that involve far more than simple counts. Similarly, whereas nearly the entire K-16 mathematics curriculum is restricted to situations that can be mathematized using a single input-output rule going in one direction, even the lives of primary school children are filled with situations that involve several interacting actions—and which involve feedback loops, second-order effects, and issues such as maximization, minimization, or stabilizations (which, many years ago, needed to be postponed until students had been introduced to calculus). …This brief paper demonstrates that, if children’s stories are used to introduce simulations of “real life” problem solving situations, then average ability primary school children are quite capable of dealing productively with 60-minute problems that involve (a) many kinds of quantities in addition to “counts,” (b) integrated collections of concepts associated with a variety of textbook topic areas, (c) interactions among several different actors, and (d) issues such as maximization, minimization, and stabilization.

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Over the past ten years, Queensland has experienced a period of significant education reform including the introduction in 2007 of a Preparatory Year of schooling for children aged five years. Recently, the development of a new Australian Curriculum represents a further curriculum reform impacting on Prep in Queensland, as Prep is, for the first time, part of the broader school curriculum and specific content is to be taught. The place of play as a context for learning is a current topic of interest during this period of change, and this thesis argues that consideration of parent views with regard to play and its place in Prep is timely and strategic. This thesis reports the findings of a research project that used case study to elicit and describe the ways in which eight parents viewed play in Prep. Analysis of parent interviews identified four themes: (1) parents interpreting play in Prep, (2) play and learning in Prep, (3) the Prep teacher's role in play and (4) parent tensions regarding play and learning in Prep. The results of the study suggest that variation exists in the ways in which parents may view and interpret play in Prep in Queensland. Analysis of the data further suggests that these interpretations may reflect parents' understanding of the Prep program and their attitudes to play and school generally. This thesis suggests that parents may spend limited time in Prep classrooms, which may impact on their understanding of play as a theoretical tenet in Prep and may highlight limitations in parent-teacher partnerships. The results of this study suggest that more attention be given to engaging parents in early childhood programs and eliciting their views on these programs. The results also suggest the importance of early childhood teachers advocating on behalf of play with their teaching colleagues, school leaders and policy makers.

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Reforms to the basic education system in China have reflected an increasing awareness of and openness to new ideas from the global education sphere. Many of the concepts involved in the development and implementation of these reforms, including adopting holistic perspectives of student development; decentralising school governance to facilitate local decision-making to address local needs; and, an increased focus on practical, lifelong learning for all involved in schools, have been promoted in research and policies throughout the world. While working within this global context, the system of schooling in China has retained a unique character that is quite different from education in the West. Drawing on an international project on school transformation, this chapter aims to examine how five secondary schools in Chongqing, a municipality in Southwestern China, have harnessed and aligned their resources to provide effective school governance following the curriculum reforms. Furthermore, the chapter will examine the similarities and differences between the organisational structures and cultures of these schools in China and successful schools in Australia, England, Finland, Wales and the United States.

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A mathematics curriculum for the Common Core Curriculum at the Kindergarten level for the USA

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Information and Communication Technology (ICT) has become an integral part of societies across the globe. This study demonstrates how successful technology integration by 10 experienced teachers in an Australian high school was dependent on teacher-driven change and innovation that influenced the core business of teaching and learning. The teachers were subject specialists across a range of disciplines, engaging their Year Eight students (aged 12–14 years) in the Technology Rich Classrooms programme. Two classrooms were renovated to accommodate the newly acquired computer hardware. The first classroom adopted a one-to-one desktop model with all the computers with Internet access arranged in a front-facing pattern. The second classroom had computers arranged in small groups. The students also used Blackboard to access learning materials after school hours. Qualitative data were gathered from teachers mainly through structured and unstructured interviews and a range of other approaches to ascertain their perceptions of the new initiative. This investigation showed that ICT was impacting positively on the core business of teaching and learning. Through the support of the school leadership team, the built environment was enabling teachers to use ICT. This influenced their pedagogical approaches and the types of learning activities they designed and implemented. As a consequence, teachers felt that students were motivated and benefited through this experience.

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For pedagogical change to be sustained over time, and over the span of higher education courses, it needs to be framed widely, rather than ‘tacked on’. The framing includes curriculum reform and resource provision alongside staff pedagogical development. This is especially true for initiatives (such as reflective writing and assessment) that target broad-based, high-level skills and dispositions. For various reasons, such initiatives can easily become lost because of the discipline-specific focus of a syllabus outweighs the initiative, or because lack of resources compromises a desired approach. Course improvement in higher education contexts is typically difficult and episodic. In such circumstances, we argue that a strategic and trustworthy approach is necessary where practitioner-lead pedagogic development is fostered through trust and communication and is purposefully embedded within key dimensions of curriculum integration and resource provision. This chapter describes an approach to pedagogical change where curriculum, pedagogy and resources are simultaneously and collaboratively orchestrated to provide an effective framework for sustainable and effective change. A robust conceptual model is proposed to guide the implementation of such change.

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This chapter addresses opportunities for problem posing in developing young children’s statistical literacy, with a focus on student-directed investigations. Although the notion of problem posing has broadened in recent years, there nevertheless remains limited research on how problem posing can be integrated within the regular mathematics curriculum, especially in the areas of statistics and probability. The chapter first reviews briefly aspects of problem posing that have featured in the literature over the years. Consideration is next given to the importance of developing children’s statistical literacy in which problem posing is an inherent feature. Some findings from a school playground investigation conducted in four, fourth-grade classes illustrate the different ways in which children posed investigative questions, how they made predictions about their outcomes and compared these with their findings, and the ways in which they chose to represent their findings.