112 resultados para mathematical content knowledge


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Chemistry has unique characteristics that make it a difficult subject to understand including the abstract concepts, the three levels of representation of matter – the macroscopic level, the sub-microscopic level and the symbolic level, and the complexities concerning the representational and theoretical qualities and the reality of each level. Drawing on data from a study with first year university students learning introductory chemistry, this chapter looks at how these students’ understandings of the characteristics of chemistry influence the way they understand and learn chemistry. Two theoretical frameworks to describe how chemical concepts can be presented and understood are developed based on the research data: the expanding triangle and the rising iceberg. The aim of the frameworks are to further develop the ways of thinking about how students learn chemistry thereby developing a chemical epistemology – that is, an understanding of the knowledge of how chemical ideas are built and an understanding of the way of knowing about chemical processes. These two frameworks are proposed as useful tools for chemistry educators to better understand students learning, linking chemical education research to practice so as to inform pedagogical content knowledge. Chemical education research can be theoretical and is sometimes criticised for not impacting on teachers practice, so the pedagogy of chemistry teachers is discussed with the aim of exploring ways the two frameworks can be useful in developing teachers’ professional understandings of learning and teaching chemistry to promote changes in their practice and support student understandings.

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Background: This paper details the research protocol for a study funded by the Australian Research Council. An integrated approach towards helping young children respond to the significant pressures of ‘360 degree marketing’ on their food choices, levels of active play, and sustainability consciousness via the early childhood curriculum is lacking. The overall goal of this study is to evaluate the efficacy of curriculum interventions that educators design when using a pedagogical communication strategy on children’s knowledge about healthy eating, active play and the sustainability consequences of their toy food and toy selections. Methods/Design: This cluster-randomised trial will be conducted with 300, 4 to 5 year-old children attending pre-school. Early childhood educators will develop a curriculum intervention using a pedagogical communication strategy that integrates content knowledge about healthy eating, active play and sustainability consciousness and deliver this to their pre-school class. Children will be interviewed about their knowledge of healthy eating, active play and the sustainability consequences of their food and toy selections. Parents will complete an Eating and Physical Activity Questionnaire rating their children’s food preferences, digital media viewing and physical activity habits. All measures will be administered at baseline, the end of the intervention and 6 months post intervention. Informed consent will be obtained from all parents and the pre-school classes will be allocated randomly to the intervention or wait-list control group. Discussion: This study is the first to utilise an integrated pedagogical communication strategy developed specifically for early childhood educators focusing on children’s healthy eating, active play, and sustainability consciousness. The significance of the early childhood period, for young children’s learning about healthy eating, active play and sustainability, is now unquestioned. The specific teaching and learning practices used by early childhood educators, as part of the intervention program, will incorporate a sociocultural perspective on learning; this perspective emphasises building on the play interests of children, that are experienced within the family and home context, as a basis for curriculum provision. Trial Registration: Australian New Zealand Clinical Trials Registry ACTRN12614000363684: Date registered: 07/04/2014

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INTRODUCTION: Despite the availability of evidence-based guidelines for the management of low back pain that contain consistent messages, large evidence-practice gaps in primary care remain.

OBJECTIVES: To perform a systematic review and meta-synthesis of qualitative studies that have explored primary care clinicians' perceptions and beliefs about guidelines for low back pain, including perceived enablers and barriers to guideline adherence.

METHODS: Studies investigatingperceptions and beliefs about low back pain guidelines were included if participants were primary care clinicians and qualitative methods had been used for both data collection and analysis. We searched major databases up to July 2014. Pairs of reviewers independently screened titles and abstracts, extracted data, appraised method quality using the CASP checklist, conducted thematic analysis and synthesized the results in narrative format.

RESULTS: Seventeen studies, with a total of 705 participants, were included. We identified three key emergent themes and eight subthemes: (1) guideline implementation and adherence beliefs and perceptions; (2) maintaining the patient-clinician relationship with imaging referrals; (3) barriers to guideline implementation. Clinicians believed that guidelines were categorical, prescriptive and constrained professional practice; however popular clinical practices superseded the guidelines. Imaging referrals were used to manage consultations and to obtain definitive diagnoses. Clinicians' perceptions reflected a lack of content knowledge and understanding of how guidelines are developed.

DISCUSSION: Addressing misconceptions and other barriers to uptake of evidence-based guidelines for managing low back pain is needed to improve knowledge transfer and close the evidence-practice gap in the treatment of this common condition.

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 This entry will consider how and why science and mathematics have been linked in teacher preparation programs in ways that influence notions of content knowledge and pedagogy.

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In this article we present a critical description regarding some of the guidelines that we consider are needed within education at university level to guide and transform the educative system towards an education for sustainability. To speak about sustainability we need to consider restructuring the teaching programs at all educative levels. For this, we discuss the relevance in adapting the six dimensions of the content-based knowledge towards sustainability issues, as well as the implications that the concept of sustainability has for our views, attitudes and actions. Transformative learning theories and pedagogical strategies for teaching science which could be useful for educating for sustainability and which could encourage changes in the attitudes of those who will become future teachers, such as the 5 "E" model which promotes critical and reflexive thinking are also discussed. We propose an educative model for teaching about sustainability with four basic epistemological elements: a multicultural education, an education for the future, a holistic education, and, a participatory education.

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This paper identifies the ways in which the Productive Pedagogies framework has been refined as a research tool for evaluating classroom practice within a current study into issues of school reform in Queensland. Initially emerging from the landmark Queensland School Reform Longitudinal Study (1998–2001), the Productive Pedagogies has been taken up widely in Australia and internationally as both a research tool and metalanguage to support teachers to critically reflect on their practice. In this paper, following a brief description of the model’s four dimensions, we detail how we have addressed some methodological concerns in using and modifying the framework for the present study. In response to critiques by other researchers and debates within our own research team, we justify our use of the framework. To these ends, we present a refined methodology that addresses the importance of pedagogical process, substantiates the inclusion of particular items within the framework, supports a critical approach to issues of difference, includes students’ perspectives and recognises the significance of content knowledge in the assessment of quality pedagogy.

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It has long been recognised that successful mathematical learning comprises much more than just knowledge of skills and procedures. For example, Skemp (1976) identified the advantages of teaching mathematics for what he referred to as “relational” rather than “Instrumental” understanding. More recently, Kilpatrick, Swafford and Findell (2001) proposed five “intertwining strands” of mathematical proficiency, namely Conceptual Understanding, Procedural Fluency, Strategic Competence, Adaptive Reasoning, and Productive Disposition. In Australia, the new Australian Curriculum: Mathematics (F–10), which will be implemented from 2013, has adapted and adopted the first four of these proficiency strands to emphasise the breadth of mathematical capabilities that students need to acquire through their study of the various content strands. This paper addresses the question of what types of classroom practice can provide opportunities for the development of these capabilities in elementary schools. It draws on data from a number of projects, as well as the literature, to provide illustrative examples. Finally, the paper argues that developing the full set of capabilities requires complex changes in teachers’ pedagogy.

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Exploring and developing primary teachers’ understanding of mathematical reasoning was the focus of the Mathematical Reasoning Professional Learning Research Program. Twenty-four primary teachers were interviewed after engagement in the first stage of the program incorporating demonstration lessons focused on reasoning conducted in their schools. Phenomenographic analysis of interview transcripts exploring variations in primary teachers’ perceptions of mathematical reasoning revealed seven categories of description based on four dimensions of variation, establishing a framework to evaluate development in understanding of reasoning.

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The research reported in this paper examined spoken mathematics in particular well-taught classrooms in Australia, China (both Shanghai and Hong Kong), Japan, Korea and the USA from the perspective of the distribution of responsibility for knowledge generation in order to identify similarities and differences in classroom practice and the implicit pedagogical principles that underlie those practices. The methodology of the Learner’s Perspective Study (LPS) documented the voicing of mathematical ideas in public discussion and in teacher-student conversations and the relative priority accorded by different teachers to student oral contributions to classroom activity. Significant differences were identified among the classrooms studied, challenging simplistic characterisations of ‘the Asian classroom’ as enacting a single pedagogy, and suggesting that, irrespective of cultural similarities, local pedagogies reflect very different assumptions about learning and instruction. We have employed spoken mathematical terms as a form of surrogate variable, possibly indicative of the location of the agency for knowledge generation in the various classrooms studied (but also of interest in itself). The analysis distinguished one classroom from another on the basis of “public oral interactivity” (the number of utterances in whole class and teacher-student interactions in each lesson) and “mathematical orality” (the frequency of occurrence of key mathematical terms in each lesson). Classrooms characterized by high public oral interactivity were not necessarily sites of high mathematical orality. In particular, the results suggest that one characteristic that might be identified with a national norm of practice could be the level of mathematical orality: relatively high mathematical orality characterising the mathematics classes in Shanghai with some consistency, while lessons in Seoul and Hong Kong consistently involved much less frequent spoken mathematical terms. The relative contributions of teacher and students to this spoken mathematics provided an indication of how the responsibility for knowledge generation was shared between teacher and student in those classrooms. Specific analysis of the patterns of interaction by which key mathematical terms were introduced or solicited revealed significant differences. It is suggested that the empirical investigation of mathematical orality and its likely connection to the distribution of the responsibility for knowledge generation are central to the development of any theory of mathematics instruction.

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Schools appear in some accounts of community informatics as part of community, one of a number of organisations that need to be taken into account, perhaps on the basis of them being useful physical or human resources around which community informatics might be based. For their part, schools, at least in Australia, have been an important, early element in the broad take-up of computing and communication technologies (CCTs) by the community. Apart from the possibility of using school resources to support community access out of school time and based on what is published in both fields, schools and work in community informatics have tended to operate independently of one another. There are, nonetheless, interesting parallels in these two broad areas of activity which promote the use of CCTs. This chapter outlines a new research agenda in which schools produce knowledge for local community and in doing so develop new and productive community partnerships. The development provides interesting opportunities for the transformation of regions via this approach to community informatics. The background to this project is based in the long history of using CCTs in schools. The chapter will argue that the way in which schools understand CCTs is crucial to shaping what is possible to be done with CCTs in schools. Shifting the emphasis from information to relationships opens up alternatives that provide opportunities for significant, new relationships with community.

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This paper provides details of, and the rationale for, a Doctorate of Forensic Psychology recently developed at Deakin University, Melbourne, Australia. The course prioritises training in psycho-legal issues with children and young people. In discussing this program, the presenters identify two issue  that guided the development of the program. The first concerns the need to delineate forensic content from that in clinical programs, while still maintaining appropriate focus on the skills needed to work effectively in forensic settings. The second addresses the need for courses to acknowledge the marked diversity among forensic clientele and to develop competencies that lead to effective work practices with these sub-groups. In constructing the Deakin forensic program, it was noted that forensic psychologists required an increasing degree of expertise in the procedural and substantive aspects of the legal system. The authors propose that as forensic psychology gains momentum as a discrete area of expertise, there is an increasing need for practitioners to have a sound understanding of the legal institutions and practices they work under, as well as being able to apply specialist knowledge to particular sub-groups. This paper discusses these issues, and outlines how the authors sought to address them in their course curriculum.

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Introduction: The Emergency Department (ED) at The Northern Hospital is currently participating in the Victorian Department of Human Services funded Emergency Nurse Practitioner Project. This project aims to develop, implement and evaluate the Emergency Nurse Practitioner role in Victorian EDs. This led to a need to develop a specific data collection tool called The Northern Emergency Nurse Practitioner Staff Survey to examine the knowledge and attitudes of ED medical and nursing staff. This paper describes the development of The Northern Emergency Nurse Practitioner Staff Survey and presents the results of reliability and validity studies. Method: Twenty-five items were developed and piloted on a sample of 58 ED medical and nursing staff. Content and face validity were established by expert panel review. Reliability was established by tests of unidimensionality, exploratory factor analysis and internal consistency. Results: Four items were discarded because of low item to total correlation. Exploratory factor analysis of the remaining items revealed five factors with eigenvalues >1 and acceptable correlation coefficients that explained 76.7% of the variance. Cronbach’s coefficent α for these items was 0.926 indicating a high degree of internal consistency. The factors were titled to reflect the content domain of the items in each factor and the factors arranged in a logical sequence to form the final version of The Northern Emergency Nurse Practitioner Survey.

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The aim of this research was to ascertain changes in sun-related knowledge, attitudes and self-care practices among Australian secondary school students between 1993 and 1996. Two cross-sectional surveys of sun-related attitudes, beliefs and behavior of young people aged 12–17 years of age, were conducted in 1993 and 1996. Over 80% of adolescents at both time periods knew about the issues related to skin cancer prevention, frequency of burning and burning on cloudy days. Adolescent attitudes had shifted positively in the areas of staying inside in 1996 [relative risk (RR): 1.13; 95% confidence interval (CI): 1.09–1.17] and staying under shade in 1996 (RR: 1.16; 95% CI: 1.13–1.18). Desire for a moderate or dark tan was lower in 1996 (45%) than in 1993 (50%). Respondents reported that they were less likely to wear brief clothing to get a suntan in 1996 (RR: 0.81; 95% CI: 0.78–0.84) and were significantly more likely to stay in the shade in 1996 (RR: 1.19; 95% CI: 1.16–1.23). We conclude that there has been a shift in attitudes towards use of shade and avoidance of unnecessary exposure, and away from use of sunscreens and sunglasses. The results suggest that adolescents may be more ready to accept structural changes that move desired activities out of the sun.