880 resultados para mathematical content knowledge


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How do you identify "good" teaching practice in the complexity of a real classroom? How do you know that beginning teachers can recognise effective digital pedagogy when they see it? How can teacher educators see through their students’ eyes? The study in this paper has arisen from our interest in what pre-service teachers “see” when observing effective classroom practice and how this might reveal their own technological, pedagogical and content knowledge. We asked 104 pre-service teachers from Early Years, Primary and Secondary cohorts to watch and comment upon selected exemplary videos of teachers using ICT (information and communication technologies) in Science. The pre-service teachers recorded their observations using a simple PMI (plus, minus, interesting) matrix which were then coded using the SOLO Taxonomy to look for evidence of their familiarity with and judgements of digital pedagogies. From this, we determined that the majority of preservice teachers we surveyed were using a descriptive rather than a reflective strategy, that is, not extending beyond what was demonstrated in the teaching exemplar or differentiating between action and purpose. We also determined that this method warrants wider trialling as a means of evaluating students’ understandings of the complexity of the digital classroom.

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In Australia we are at a crossroad in science education. We have come from a long history of adopting international curricula, through to blending international and Australian developed materials, to the present which is a thoroughly unique Australian curriculum in science. This paper documents Australia’s journey over the past 200 years, as we prepare for the unveiling of our first truly Australian National Curriculum. One of the unique aspects of this curriculum is the emphasis on practical work and inquiry-based learning. This paper identifies seven forms of practical work currently used in Australian schools and the purposes aligned with each form by 138 pre-service and experienced in-service teachers. The paper explores the question “What does the impending national curriculum, with its emphasis on practical inquiry mean to the teachers now, are they ready?” The study suggests that practical work in Australian schools is multifaceted, and the teacher aligned purposes are dependent not only upon the age of the student, but also on the type of practical work being undertaken. It was found that most teachers are not ready to teach using inquiry-based pedagogy and cite lack of content knowledge, behaviour management, and lack of physical resources and availability of classroom space as key issues which will hinder their implementation of the inquiry component of Australia’s pending curriculum in science.

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Because professions seek graduates who can 'collaborate, share skills and knowledge, and communicate' (Kruck and Reif, 2001, p 37), it is important that university graduates are not equipped solely with the content knowledge of their discipline, but also with prospective employment skills. Furthermore, when students 'interact more in positive ways with their teachers and peers, they gain more in terms of essential skills and competencies, such as critical thinking, problem~solving [and] effective communication' (NSSE, 2000, p 2)./n this way, peer assisted fellowing has the potential to enhance students' professional development, and provide the social inclusion and engagement necessary for effective learning. This session describes two peer assisted learning models embedded within first year QUT Faculty of Law units. Through a partnership between teaching staff, student mentors and mentees, the models aim to facilitate student socialisation whilst supplementing understanding of substantive law with the development of academic and work·related skills. Mentor and mentee perceptions, and program implications, are considered.

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In July 2010, China announced the “National Plan for Medium and Long-term Education Reform and Development(2010-2020)” (PRC 2010). The Plan calls for an education system that: • promotes an integrated development which harnesses everyone’s talent; • combines learning and thinking; unifies knowledge and practice; • allows teachers to teach according to individuals’ needs; and • reforms education quality evaluation and personnel evaluation systems focusing on performance including character, knowledge, ability and other factors. This paper discusses the design and implementation of a Professional Learning Program (PLP) undertaken by 432 primary, middle and high school teachers in China. The aim of this initiative was to develop adaptive expertise in using technology that facilitated innovative science and technology teaching and learning as envisaged by the Chinese Ministry of Education’s (2010-2020) education reforms. Key principles derived from literature about professional learning and scaffolding of learning informed the design of the PLP. The analysis of data revealed that the participants had made substantial progress towards the development of adaptive expertise. This was manifested not only by advances in the participants’ repertoires of Subject Matter Knowledge and Pedagogical Content Knowledge but also in changes to their levels of confidence and identities as teachers. It was found that through time the participants had coalesced into a professional learning community that readily engaged in the sharing, peer review, reuse and adaption, and collaborative design of innovative science and technology learning and assessment activities.

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There is a song at the beginning of the musical, West Side Story, where the character Tony sings that “something’s coming, something good.” The song is an anthem of optimism, brimming with promise. This paper is about the long-held promise of information and communication technology (ICT) to transform teaching and learning, to modernise the learning environment of the classroom, and to create a new digital pedagogy. But much of our experience to date in the schooling sector tells more of resistance and reaction than revolution, of more of the same but with a computer in the corner and of ICT activities as unwelcome time-fillers/time-wasters. Recently, a group of pre-service teachers in a postgraduate primary education degree in an Australian university were introduced to learning objects in an ICT immersion program. Their analyses and related responses, as recorded in online journals, have here been interpreted in terms of TPACK (Technological Pedagogical and Content Knowledge). Against contemporary observation, these students generally displayed high levels of competence and highly positive dispositions of students to the integration of ICT in their future classrooms. In short, they displayed the same optimism and confidence as the fictional “Tony” in believing that something good was coming.

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Research indicates attributes and practices for mentor teachers that can be used for effective mentoring. Universities provide guidelines for preservice teacher (mentee) engagement in schools generally from anecdotal evidence, however, what are desirable attributes and practices for mentees? This qualitative study gathers data from 25 mentor teachers through extended response questionnaire and audio-recorded focus group discussions about attributes and practices for mentees. Findings showed that desirable attributes for mentees included: enthusiasm, being personable, commitment to children, lifelong learning/love of learning, open/reflective to feedback, develop resilience, and taking responsibility for their learning, while desirable practices included: planned and preparation for teaching, reflective practices, understanding school and university policies, knowing students for differentiated learning, and building a teaching repertoire (e.g. teaching strategies, behaviour management, content knowledge, and questioning skills). Preservice teachers need to consider teachers’ suggestions on desirable attributes and practices that can help them achieve positive teaching experiences.

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This paper reports on a Professional Learning Programme undertaken by primary school teachers in China that aimed to facilitate the development of ‘adaptive expertise’ in using technology to facilitate innovative science teaching and learning such as that envisaged by the Chinese Ministry of Education’s (2010–2020) education reforms. The study found that the participants made substantial progress towards the development of adaptive expertise manifested not only by advances in the participants’ repertoires of pedagogical content knowledge but also in changes to their levels of confidence and identities as teachers. By the end of the programme, the participants had coalesced into a professional learning community that readily engaged in the sharing, peer review, reuse and adaption, and collaborative design of innovative science learning and assessment activities. The findings from the study indicate that those engaged in the development of Professional Learning Programmes in Asia-Pacific nations need to take cognizance of certain cultural factors and traditions idiosyncratic to the educational systems. This is reflected in the amended set of principles to inform the design and implementation of professional learning programmes presented in the concluding sections of the paper.

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Currently a range of national policy settings are reshaping schooling and teacher education in Australia. This paper presents some of the findings from a small qualitative pilot study conducted with a group of final year pre-service teachers studying a secondary social science curriculum method unit in an Australian university. One of the study’s research objectives aimed at identifying how students reflected on their capacity to navigate curriculum change and, more specifically, on teaching about Australia and Asia in the forthcoming implementation of the first national history curriculum. The unit was designed and taught by the researcher on the assumption that beginning social science teachers need to be empowered to deal with the curriculum change they’ll encounter throughout their careers. The pilot study’s methodology was informed by a constructivist approach to grounded theory and its scope was limited to one semester with volunteer students. Of the pre-service teacher reflections on their preparedness to teach, this paper reports on the content, pedagogy and learning they experienced in one segment of the unit with specific reference to the new history curriculum’s ‘Australia in a world history’ approach and the development of Asia literacy. The findings indicate that whilst pre-service teachers valued the opportunity to engage with learning experiences which enhanced their intercultural understanding and extended their pedagogical and content knowledge on campus, the nature of the final practicum in schools was also influential in shaping their preparedness to enter the profession.

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How do you identify "good" teaching practice in the complexity of a real classroom? How do you know that beginning teachers can recognise effective digital pedagogy when they see it? How can teacher educators see through their students’ eyes? The study in this paper has arisen from our interest in what pre-service teachers “see” when observing effective classroom practice and how this might reveal their own technological, pedagogical and content knowledge. We asked 104 pre-service teachers from Early Years, Primary and Secondary cohorts to watch and comment upon selected exemplary videos of teachers using ICT (information and communication technologies) in Science. The pre-service teachers recorded their observations using a simple PMI (plus, minus, interesting) matrix which were then coded using the SOLO Taxonomy to look for evidence of their familiarity with and judgements of digital pedagogies. From this, we determined that the majority of preservice teachers we surveyed were using a descriptive rather than a reflective strategy, that is, not extending beyond what was demonstrated in the teaching exemplar or differentiating between action and purpose. We also determined that this method warrants wider trialling as a means of evaluating students’ understandings of the complexity of the digital classroom.

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This paper reports on the initial phase of a Professional Learning Program (PLP) undertaken by 100 primary school teachers in China that aimed to facilitate the development of adaptive expertise in using technology to facilitate innovative science teaching and learning such as that envisaged by the Chinese Ministry of Education’s (2010-2020) education reforms. Key principles derived from literature about professional learning and scaffolding of learning informed the design of the PLP. The analysis of data revealed that the participants had made substantial progress towards the development of adaptive expertise. This was manifested not only by advances in the participants’ repertoires of Subject Matter Knowledge and Pedagogical Content Knowledge but also in changes to their levels of confidence and identities as teachers. By the end of the initial phase of the PLP, the participants had coalesced into a professional learning community that readily engaged in the sharing, peer review, reuse and adaption, and collaborative design of innovative science learning and assessment activities. The findings from the study indicate that those engaged in the development of PLPs for teachers in China need to take cognizance of certain cultural factors and traditions idiosyncratic to the Chinese educational system. A set of revised principles is then presented to inform the future design and implementation of PLPs for teachers in China.

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Universities no longer equip graduates solely with the content knowledge of their discipline, but also with prospective employment skills. Professions also seek graduates who can ‘collaborate, share skills and knowledge, and communicate their ideas effectively’ (Kruck and Reif, 2001, p 37). However, as admission to university does not always guarantee that one is well equipped for the task, first year students also need guidance in the development of academic skills. This session describes two models of peer assisted learning embedded within the Torts and Legal Foundations B units at the Faculty of Law, Queensland University of Technology, and how they are used to supplement student understanding of substantive law with the development of academic and work-related skills. Student perceptions of the programs developed are considered, together with the challenges faced. Session participants will be asked to contribute to a discussion of these challenges and to offer ideas on their redress.

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There is increased accountability of initial teacher education (ITE) programs in Australia to develop Graduate teachers who are better prepared. Most ITE programs have been designed using Pedagogical Content Knowledge. Informed by the growing Technological Pedagogical Content Knowledge (TPACK) research, this journal article suggests that ITE programs need to develop Graduate teachers who have the TPACK capabilities to use technologies to support teaching and student learning. Insights from the research and evaluation of the Teaching Teachers for the Future (TTF) Project, which was guided by the TPACK conceptualisation, are provided. The TTF Project, which involved all Higher Education Institutions providing ITE programs in Australia, drew upon the TPACK conceptualisation. The TTF Project research and evaluation included the development and administration of a TTF TPACK Survey and the implementation of the Most Significant Change Methodology. Key findings resulting from the employment of these methodologies are summarised to provide guidance to inform the improvement of ITE programs to develop Graduate TPACK capabilities.

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Universities provide preservice teachers (mentees) with directions on how to engage within their school placements, yet mentees have ongoing concerns about how to interact with their mentors. What are desirable attributes and practices for preservice teachers in their roles as mentees? This qualitative study gathers data from primary and secondary Australian teachers (n=25) through extended response questionnaire and audio-recorded focus group discussions, and preservice teachers (n=10) using audio-recorded interviews at the conclusion of their four-week practicum. Findings indicated that mentors had clear views on desirable attributes (e.g., enthusiasm, commitment, resilience) and practices (e.g., planning, preparation, building a teaching repertoire) for mentees; whereas mentees had varying views on identifying such attributes and practices and did not refer to: content knowledge, differentiation, and knowing school and university policies. This showed that mentees need more guidance for focusing on specific attributes and practices to benefit the mentoring relationship and their teaching development.

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This qualitative study investigates English as Foreign Language (EFL) teachers' perceptions and practices of blended learning in a Vietnamese university and influencing factors. Findings revealed that teachers have limited understandings and use of blended learning due to three primary influential factors: (i) the traditional teacher-centred pedagogy, (ii) institutional management and leadership styles, and (iii) fragmented knowledge of technological, pedagogical, and content knowledge (TPACK) for blended learning. To improve the take up and potential benefits of blended learning in EFL education in Vietnamese universities, this study proposes (i) a systematic understanding of blended learning concepts, (ii) a localised TPACK framework, and (iii) a model of teacher professional development program.

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Research on problem solving in the mathematics curriculum has spanned many decades, yielding pendulum-like swings in recommendations on various issues. Ongoing debates concern the effectiveness of teaching general strategies and heuristics, the role of mathematical content (as the means versus the learning goal of problem solving), the role of context, and the proper emphasis on the social and affective dimensions of problem solving (e.g., Lesh & Zawojewski, 2007; Lester, 2013; Lester & Kehle, 2003; Schoenfeld, 1985, 2008; Silver, 1985). Various scholarly perspectives—including cognitive and behavioral science, neuroscience, the discipline of mathematics, educational philosophy, and sociocultural stances—have informed these debates, often generating divergent resolutions. Perhaps due to this uncertainty, educators’ efforts over the years to improve students’ mathematical problem-solving skills have had disappointing results. Qualitative and quantitative studies consistently reveal mathematics students’ struggles to solve problems more significant than routine exercises (OECD, 2014; Boaler, 2009)...