774 resultados para Mathematical knowledge for teaching


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At the QUT Law School, the most recent curriculum review responded to an increasing demand from the profession for law graduates to be equipped with dispute resolution knowledge, skills and attitudes. From 2015, a compulsory dispute resolution subject will be a critical part of an intentionally designed core first year curriculum. It is important for the Law School at QUT that no graduate of the new curriculum will leave our institution without real world dispute resolution knowledge and skills. This initiative is also grounded in evidenced-based research about the benefits for student well-being that derive from the subject content and pedagogy of dispute resolution. This paper explains why teaching dispute resolution in the first year of the law degree is an important strategy for promoting the well-being of law students.

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The quality of environmental decisions are gauged according to the management objectives of a conservation project. Management objectives are generally about maximising some quantifiable measure of system benefit, for instance population growth rate. They can also be defined in terms of learning about the system in question, in such a case actions would be chosen that maximise knowledge gain, for instance in experimental management sites. Learning about a system can also take place when managing practically. The adaptive management framework (Walters 1986) formally acknowledges this fact by evaluating learning in terms of how it will improve management of the system and therefore future system benefit. This is taken into account when ranking actions using stochastic dynamic programming (SDP). However, the benefits of any management action lie on a spectrum from pure system benefit, when there is nothing to be learned about the system, to pure knowledge gain. The current adaptive management framework does not permit management objectives to evaluate actions over the full range of this spectrum. By evaluating knowledge gain in units distinct to future system benefit this whole spectrum of management objectives can be unlocked. This paper outlines six decision making policies that differ across the spectrum of pure system benefit through to pure learning. The extensions to adaptive management presented allow specification of the relative importance of learning compared to system benefit in management objectives. Such an extension means practitioners can be more specific in the construction of conservation project objectives and be able to create policies for experimental management sites in the same framework as practical management sites.

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Tertiary institutions now face serious challenges. Modern industry requires engineering graduates with strong knowledge of modern technologies, highly practical focus, management skills, ability to work individually and in a team, understanding of environmental issues and many other skills and graduate attributes. Institutions in the tertiary sector change courses and modify curriculum to reflect challenges of the modern industry and make engineering graduates better prepared for the “real world”. Queensland University of Technology in the recent years introduced an innovative structure of engineering courses with a common core for Bachelor of Engineering Mechanical, Infomechatronics and Medical, where manufacturing is taught in conjunction with engineering design and engineering materials. In this paper we discuss the innovative curriculum structure, teaching and learning approaches of coherent delivery of manufacturing in conjunction with engineering design and

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A mathematical model is developed for the ripening of cheese. Such models may assist predicting final cheese quality using measured initial composition. The main constituent chemical reactions are described with ordinary differential equations. Numerical solutions to the model equations are found using Matlab. Unknown parameter values have been fitted using experimental data available in the literature. The results from the numerical fitting are in good agreement with the data. Statistical analysis is performed on near infrared data provided to the MISG. However, due to the inhomogeneity and limited nature of the data, not many conclusions can be drawn from the analysis. A simple model of the potential changes in acidity of cheese is also considered. The results from this model are consistent with cheese manufacturing knowledge, in that the pH of cheddar cheese does not significantly change during ripening.

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This paper investigates a five-factor model of mentoring for effective teaching. A survey was administered to 218 student teachers after student teaching to provide insights into their mentoring experience. Results indicated the five factors, namely, personal attributes, system requirements, pedagogical knowledge, modeling, and feedback, had Cronbach alpha scores of .93, .81, .95, .91, and .91, respectively with mean scale scores ranging from 4.20 to 4.60 (p< .001). Items associated with each factor were analyzed; the lowest percentage response was reviewing lesson plans (71%) and the highest percentage was modeling effective teaching practices (96%). Triangulated data from the survey results suggested that the practices implemented by the mentor teachers were perceived to have supported the student teachers’ development during student teaching. Implications of this study suggest that actively engaging mentor teachers who apply the principles outlined by the five factor areas will serve to ensure highly effective support for the development of student teachers.

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With the increasing competitiveness in global markets, many developing nations are striving to constantly improve their services in search for the next competitive edge. As a result, the demand and need for Business Process Management (BPM) in these regions is seeing a rapid rise. Yet there exists a lack of professional expertise and knowledge to cater to that need. Therefore, the development of well-structured BPM training/ education programs has become an urgent requirement for these industries. Furthermore, the lack of textbooks or other self-educating material, that go beyond the basics of BPM, further ratifies the need for case based teaching and related cases that enable the next generation of professionals in these countries. Teaching cases create an authentic learning environment where complexities and challenges of the ‘real world’ can be presented in a narrative, enabling students to evolve crucial skills such as problem analysis, problem solving, creativity within constraints as well as the application of appropriate tools (BPMN) and techniques (including best practices and benchmarking) within richer and real scenarios. The aim of this paper is to provide a comprehensive teaching case demonstrating the means to tackle any developing nation’s legacy government process undermined by inefficiency and ineffectiveness. The paper also includes thorough teaching notes The article is presented in three main parts: (i) Introduction - that provides a brief background setting the context of this paper, (ii) The Teaching Case, and (iii) Teaching notes.

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Science, technology, engineering, and mathematics (STEM) education is an emerging initiative in Australia, particularly in primary schools. This qualitative research aimed to understand Year 4 students' involvement in an integrated STEM education unit that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (e.g., 3D shapes and metric measurements) for designing, making and testing a strong and safe medical kit to insulate medicines (ice cubes) at desirable temperatures. Data collection tools included student work samples, photographs, written responses from students and the teacher, and researcher notes. In a post-hoc analysis, a pedagogical knowledge practice framework (i.e., planning, timetabling, preparation, teaching strategies, content knowledge, problem solving, classroom management, questioning, implementation, assessment, and viewpoints) was used to explain links to student outcomes in STEM education. The study showed how pedagogical knowledge practices may be linked to student outcomes (knowledge, understanding, skill development, and values and attitudes) for a STEM education activity.

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This study draws on an eclectic range of influences. The early research was guided by the traditions of Personal Construct Theory. The study was later extended by drawing on theoretical tenets of social constructionism and the notion of the Saturated Self and Anthony Gidden's work on structuration and his later work on self identity. This has provided a new way of investigating how becoming a PE teacher through constructed knowledge established a professional identity. The data suggest that during the process of constructing professional knowledge, the students forge their identities by establishing 'position' and 'role'. In doing so, the participants in this study experienced a series of dilemmas of professional self. These dilemmas are a product of what Giddens calls high modernity and what Gergen refers to as postmodernity. It seems that to become a PE teacher, the dilemmas must be worked through until a position of ontological security has been achieved. For some this was profoundly difficult. In spite of this, the methods of study allowed the participants to begin to articulate their theories and visions of teaching physical education, and the therapeutic qualities of Kelly's theory encouraged many of the students to 'see it differently' (Rossi, 1997) and to begin to develop a rationale for professional work in physical education based on socially just practices.

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This study involves teaching engineering students concepts in lubrication engineering that are heavily dependent on mathematics. Excellent learning outcomes have been observed when assessment tasks are devised for a diversity of learning styles. Providing different pathways to knowledge reduces the probability that a single barrier halts progress towards the ultimate learning objective. The interdisciplinary nature of tribology can be used advantageously to tie together multiple elements of engineering to solve real physical problems—an approach that seems to benefit a majority of engineering students. To put this into practice, various assessment items were devised on the study of hydrodynamics, culminating in a project to provide a summative evaluation of the students’ learning achievement. A survey was also conducted to assess other aspects of students’ learning experiences under the headings: ‘perception of learning’ and ‘overall satisfaction’. High degrees of achievement and satisfaction were observed. An attempt has been made to identify the elements contributing to success so that they may be applied to other challenging concepts in engineering education.

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University strategic plans emphasise the essential nature of partnerships at national and international levels. Along with establishing collaborative research partnerships, providing professional development to key stakeholders is considered a crucial activity for making and sustaining partnerships. Utilising knowledge from professional development in Australian contexts can be managed creatively for making connections internationally. Indeed, knowledge transfer is a cornerstone for the globalisation of education and needs to occur as a multiplex dialogue between participating countries. This paper presents a qualitative study around the Mentoring for Effective Teaching (MET) program, its growth and development nationally (e.g., scope and impact) along with insights into making connections within the Asia-Pacific region. At a national level, we outline how to facilitate a program though relationship building and face-to-face implementation of professional learning. Internationally, we highlight how to mould and shape Australian professional learning for the Asia-Pacific region, particularly with regard to facilitating fluid interactions within environments outside of Australia. The contexts for the study include a university in Hong Kong and another university in the Philippines. In this presentation, examples will be provided from the MET program to demonstrate contextual differences and similarities for implementation in Australian and Asian contexts. For instance, determining strategies for mentoring pedagogical knowledge can elicit viewpoints that align between cultures (e.g., use of specific teaching and questioning strategies) and also present alternative ideas as a result of cultural differences. We have learnt about having a structured program that draws on the research yet has sufficient flexibility to cater for cultures and contexts. With openmindedness, facilitating professional learning can become a two-way knowledge transfer, where learnings from other cultures and contexts can be refined for advancing programs in Australia.

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Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.

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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 case study examined the use of global English language teaching coursebooks by five teachers to teach English language use to students in Thailand where English is a foreign language. Despite the complexities of English language use in Thailand, the coursebook and teachers emphasised sets of decontextualised linguistic structures to teach speaking and conversation. The students interpreted and applied the structures in different ways with varied awareness of the effects of their linguistic choices. Teachers were constrained by the coursebook, their understandings of culture, and knowledge of how to teach pragmatics highlighting implications for teacher education and coursebook design.

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The imperative for Indigenous education in Australia is influenced by national political, social and economic discourses as Australian education systems continue to grapple with an agreed aspiration of full participation for Aboriginal and Torres Strait Islander students. Innovations within and policies guiding our education systems are often driven by agendas of reconciliation, equity, equality in participation and social justice. In this paper, we discuss key themes that emerged from a recent Australian Office for Learning and Teaching (OLT) research project which investigated ways in which preservice teachers from one Australian university embedded Indigenous knowledges (IK) on teaching practicum . Using a phenomenological approach, the case involved 25 preservice teacher and 23 practicum supervisor participants, over a 30 month investigation. Attention was directed to the nature of subjective (lived) experiences of participants in these pedagogical negotiations and thus preservice and supervising teacher voice was actively sought in naming and analysing these experiences. Findings revealed that change, knowledge, help and affirmation were key themes for shaping discourses around Indigenous knowledges and perspectives in the Australian curriculum and defined the nature of the pedagogical relationships between novice and experienced teachers. We focus particularly on the need for change and affirmation by preservice teachers and their teaching practicum supervisors as they developed their pedagogical relationships whilst embedding Indigenous knowledges in learning and teaching.

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Teachers the world over are aware of the range of new challenges that arise from this new era. One challenge is the role of digital technologies in literacy learning. Despite its reputation for being engaging, digital technologies do not always enhance learning outcomes. Whilst the concerns vary across time and place, the core issue of what is a highly sought after literacy learning outcome in this new era warrants consideration. This paper introduces Kalantzis and Cope’s (2005) theorisation of eight knowledge processes for literacy learning. They claim that experiencing the known, conceptualising by naming, analysing functionally and applying appropriately, whilst necessary, are not on their own sufficient for the development of high level literacy practices. It is their contention that students must also be able to experience the new, conceptualise by theorising, analyse creatively and apply critically. This theorisation forms an auditing framework for considering the outcomes of different uptakes of digital technologies in a Social Studies and a Science unit.