159 resultados para Mathematical knowledge for teaching


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In this presentation, I examine contemporary international encounters and intercultural interactions in academia as a researcher and recent participant in the ever-expanding global academic mobility programs. Academic mobility is a part of the modern continuing changes in the teaching and learning processes that higher educational institutions are undergoing globally. These changes are often termed ‘internationalization of education’ and they are expressed in the transformations in both the curricula and recruitment practices of students and staff. Global scale of academic mobility opens up prosperous opportunities for intercultural knowledge interchange, knowledge creation, and knowledge enrichment, all leading to the broadening of cultural imagination and creation of shared cosmopolitan cultural meanings.

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This editorial captures the essence of each of the papers in this journal and synthesises the findings to highlight the complexity of developing practices that enable students to develop mathematical understandings. Papers described and discussed come from sources internal and external to Australasia. They include new perspectives on analysis of classroom practices, analyses of mathematical registers and mathematical language in classroom activity, action research of a teacher developing new pedagogical understandings, and various analyses associated with teacher education (pre-service teacher programs, interactions between pre-service teachers and their mentors, and how limited content knowledge can affect teacher interpretation of classroom activity. The editorial captures many of the complexities highlighted in the papers and points to the enormity of the expertise required to optimise the teaching of mathematics..

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The paper examines the manner in which to review an undergraduate degree in construction management using a top-down approach known as “Constructive Alignment”. The research addresses not only the perceived teaching problems, but it also discusses the methods used to rejuvenate the course in a manner that aligns with the graduate outcomes. However, it was also clear that teaching staff were not especially aware of the need to address the course learning outcomes. This highlighted the need for teaching staff to be involved in a process of constructive alignment to embed the course learning outcomes within their subjects, while also addressing the teaching issues involved with assessment. This process provided an opportunity to determine the incremental skill and knowledge development, both within the subjects, as well as between subjects across the course. The paper concludes with the production of a conceptual framework, which can be used to assist with the alignment of professional standards, course outcomes and graduate attributes into a discipline-specific degree program.

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The Australian Government initiative, Teaching Teachers for the Future (TTF), was a targeted response to improve the preparation of future teachers with integrating technology into their practice. This paper reports on TTF research involving 28 preservice teachers undertaking a chemistry curriculum studies unit that adopted a technological focus. For chemistry teaching the results showed that technological knowledge augmented the fundamental pedagogical knowledge necessary for teaching chemistry content. All the pre-service teachers demonstrated an understanding of the role of technology in teaching and learning and reported an increased skill level in a variety of technologies, many they had not used previously. Some students were sceptical about this learning when schools did not have technological resources available. This paper argues that teacher education courses should include technological skills that match those available in schools, as well as introduce new technologies to support a change in the culture of using technology in schools.

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For some lay observers, play is mistakenly viewed as a leisure and uncomplicated activity done by young children. Lay observers may also see early childhood play-based settings as lacking academic opportunities for young children and may regrettably view the role of teachers in early childhood play-based contexts as simply custodial managers of chaos. However, a play-based context sets a stage for meaningful exchanges of thought that can beneficially challenge children's understandings and be particularly suitable for transforming children's everyday understandings to scientific knowledge.

While there have been shifts in theoretical approaches and differing texts on how one may view young children engaging in the human venture of science, early childhood play-based environments are settings for scientific inquiry, which can engender even the youngest of children to be critical thinkers, problem solvers, and reflectors of reason.

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To support teachers in their quest to incorporate reasoning as a mathematical proficiency as espoused in the Australian Curriculum: Mathematics, a professional learning research project using demonstration lessons was carried out. This paper reports on the impact of demonstration lessons on one participating teacher’s pedagogical knowledge about reasoning. The growth in this teacher’s knowledge was analysed using a phenomenographic framework established to evaluate teachers’ development in mathematical reasoning. The results show that demonstration and subsequent trial lessons contributed to her growth.

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This paper summarizes the views, obtained via a survey instrument created by the authors and reported in studies by Stout and Wygal, of 22 accounting educator teaching exemplars from Australia. Each of these individuals has been cited for teaching excellence through receipt of one or more formal teaching awards. The paper responds to calls in Australia for increased attention to the dimensions of teaching effectiveness and to initiatives in the United States calling for a broader sharing of information among members of the academy regarding the characteristics of teaching effectiveness. Little direct evidence from the field of accounting education is available to date regarding such characteristics or antecedents of teaching effectiveness in the student learning environment. Our research therefore extends in a fundamental way the work of Stice and Stocks and Stout and Wygal. Specifically, perceptions from a sample of award-winning non-US faculties regarding the ‘drivers of teaching effectiveness’ in accounting education are recorded and analyzed. In decreasing order of perceived importance, drivers of teaching effectiveness are: having a student focus; commitment to teaching (as a profession); high levels of preparation/organization; the ability to link subject matter to the practice environment; and, instructor skills and attributes. This paper adds to our understanding of the drivers of teaching effectiveness and begins the process of creating a worldwide knowledge base in accounting education. The paper should be of interest to accounting faculty members interested in improving their teaching effectiveness and/or mentoring junior faculty members.

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This article explores the paradoxical situation of early career teachers in this era of standards-based reforms, beginning with the experiences of an English teacher working in a state school in Queensland, Australia and expanding to consider the viewpoints of her colleagues. Our goal is to trace the ways she and the other early career teachers at this particular school negotiate the tensions between the current emphases on standardisation of curricula, testing regimes and teaching standards and their burgeoning sense of their identities as teachers. We shall raise questions about the status of the professional knowledge that these early career teachers bring to their work, showing examples of how this knowledge puts them at odds with standards-based reforms, including the professional standards recently introduced by the Australian Institute for Teaching and School Leadership (AITSL) and the National Assessment Program – Literacy and Numeracy (NAPLAN).

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The study found that notwithstanding some similarities, the teaching and learning of undergraduate physics in three Vietnamese universities and three Australian universities is significantly different in many aspects of practice. The differences in undergraduate teaching and learning of physics in particular and of other university courses in general arise mainly from differences in education systems, cultures, expectations, the views of quality and knowledge, the state of the respective economies, and the school infrastructures between the two countries.

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Objectives: The purpose of this project was to examine the copyright and licensing knowledge gap of academic staff to identify their current understanding of, and attitudes towards, copyright, licensing and the open access movement in relation to the content they use, create, and share in their teaching and research practice. The motivation behind this study was to gather information to assist the Library in creating and providing effective information resources and training for academic staff.

Methods: An anonymous online survey was distributed to Faculty of Health academic staff at Deakin University. Seventy individuals in the Faculty of Health completed the survey.

Results: The results suggested that most of the academics have used content created by others in their teaching materials, but they are not confident about complying with copyright or licensing conditions whilst doing so. Most had not posted any of their own content online, but would generally be willing for it to be used by others, with attribution. Around half had never posted their published articles in an institutional or discipline repository, but again, would be willing for them to be used for educational purposes. Most academics have never shared their research data online, and some were very unwilling to do so - despite current pushes to broaden access to research data sets. Finally, most had never applied a Creative Commons licence to a piece of work, and over half were unaware of what rights they had retained under publishing agreements for their work. It was strongly indicated that an informational website would be very helpful in providing guidance around topics of copyright, licensing and sharing.

Conclusions: Results were largely consistent with other similar studies conducted around these topics. There is a clear role for librarians to continue providing such training and resources as the push for Open Access resources, publishing, and data only gains momentum.

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Whilst the technological, pedagogical and content knowledge (TPACK) model has been increasingly adopted for understanding teachers’ use of technology, there have been many calls for greater discussion about the constituent constructs, their relationship with one another and the central TPACK. This paper analyses qualitatively the TPACK demonstrated by the teacher of a Year 11class who used web-based simulated contexts and interactive web objects in a Mathematics Studies course. The findings indicate aspects of TPK relating to academiclearning time and the transformational mode of the technology were not fully realised in this case study. The implications these has for teacher professional development are discussed.

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Unrelieved pain is a worldwide health care problem that can lead to unnecessary complications and increased health care expenditure. The aim of this study was to examine nurses' knowledge and attitudes toward pain in Saudi Arabia. A descriptive design was employed using the Nurses' Knowledge and Attitudes Survey regarding pain. The study took place in a tertiary teaching hospital in Saudi Arabia. All nurses employed in the hospital were eligible to participate. A total of 775 questionnaires were distributed to nurses working in acute care, intensive care, and nursing education and administration settings. In all, 593 respondents completed the questionnaires, representing a response rate of 76.5%. Data were analyzed using descriptive and inferential statistics. Most participants were from overseas (97.5%), speaking 23 different languages; 36.5% of nurses held a bachelors of science degree in nursing or the equivalent. The mean score of correctly answered items in was 16.9 (95% confidence interval, 16.6-17.31) out of a total possible score of 40. Nurses demonstrated some misconceived attitudes such as not giving the required dose of morphine to a smiling patient despite the patient being in pain. It is of concern that the findings identified problems of inadequate knowledge and inappropriate attitudes regarding pain assessment and management in Saudi Arabia. Considering these problems, the development of pain programs and policies affecting national and international nurses is highly imperative.

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The most popular model of how students learn is known as the constructivist model of learning. There are variants of this model, but the main features are that learning occurs in the context of pre-existing experiences and ideas, that new concepts are transformed to fit or build on those existing ideas, and that learning occurs in a social or cultural context. Learners are not empty vessels, into which new knowledge can be injected. New concepts, which are consistent with and extend pre-existing experiences and ideas, are easily and effectively assimilated. Learning is difficult, when learners have pre-existing incorrect ideas or alternative conceptions, as they must first unlearn the misconceptions in order to incorporate the new information. In a different context, it is usually much harder and more expensive to retrofit an existing house than to build from scratch. Similarly, it is very hard to overcome bad habits. A previous column in Chemistry in Australia [July 2013, page 35], noted that we simplify ideas when teaching chemistry to younger students, but warned that over-simplication often results in misconceptions that will hinder future learning. Most chemistry educators favour constructivism, because there are similarities with the process of discovery in science. Firstly, the advancement of scientific knowledge builds on past experiences and knowledge: Isaac Newton famously acknowledged, “If I have seen further it is by standing on the shoulders of giants”. Secondly, observations and data of themselves are not meaningful, until that information has been transformed to extend existing ideas: Nobel Laureate Lawrence Bragg wrote, “the important thing in science is not so much to obtain new facts as to discover new ways of thinking about them”. Science as a Human Endeavour (SHE) is one of the strands in the Australian Curriculum. Similarly, one of the learning outcomes in the Draft Chemistry Academic Standards is that graduates will be able to recognise the creative endeavour involved in the acquiring knowledge and to recognise the testable and contestable nature of chemistry. Science is practiced individually and collectively by people. Human beings, who have human virtues and fallibilities, are responsible for scientific advancements. New knowledge is constructed in the minds of learners and scientists. Just as discussions in work teams, workshops, conferences, and the scientific literature, help scientists to extend and improve scientific understanding, the important role of teachers is to guide students to refine, alter and improve their scientific understanding when extending their scientific boundaries.

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Much time and effort has gone into trying to demonstrate an empirical link between research activity and teaching performance. In general, the correlations between these factors have been shown to be low. This paper argues that the attempt to find such a link will always be confounded by different conceptions of the two enterprises. The debate about the relationships between teaching and research as presently conceived is not fruitful. It there is a link between the two it operates through that which teaching and research have in common; both are concerned with the act of learning, though in different contexts. Greater emphasis needs to be placed on the ways in which knowledge is generated and communicated. Those aspects of teaching which lead to learning and the learning which occurs through research provide the vital link. This is important if the debate is to progress beyond a political defence of the status quo and be of practical use to considerations of whether, in higher education, teaching without research is to be encouraged.

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Research has indicated that for teachers to facilitate mathematical modelling activities in the mathematics classroom, they need to be familiar with the process of mathematical modelling. As such, it is imperative that teachers experience the whole mathematical modelling process. This paper reports on a Multi-tiered Teaching Experiment designed to help a teacher develop his capacity in the domain of mathematical modelling. Drawing on part of a larger case-based study conducted using Design Research phases situated within the Multi-tiered Teaching Experiment framework, the purpose of this paper is to exemplify how the research design fostered growth in teacher capacity through the natural development of critical moments of learning by the teacher during interactions between the researchers and the teacher-modeller himself. The potential of the Multi-tiered Teaching Experiment as a useful non-prescriptive teacher development approach building upon the existing repertoire of individual teachers will be discussed.