268 resultados para Transformations (mathematics)


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This research found that a teacher is both a member of a culture and an individual, building practice within parameters set by a dynamic and multifaceted subject culture. Feelings of competence and confidence grow as an aesthetic understanding of what it means to know, teach, and appreciate a subject.

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This study investigated the social context in which the learning of mathematics occured. It examined the practices of schools and mathematics in order to identify the ways in which they contributed to the construction of social difference. Accordingly, this study was concerned with how schools and mathematics classrooms contribute to working-class students lack of success in mathematics. The differences that occurred in these practices could be seen to contribute to the different outcomes likely to occur in the later years of schooling. It was argued that these differences mean that students from middle-classes would be more likely to undertake and be successful in the study of mathematics than their working-class peers.

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Focusing on novels written since 1980 by Australian authors Rodney Hall, Liam Davison, Tim Winton, Elizabeth Jolley and Gerald Murnane, and engaging with responses to the land by visual and performing artists, this thesis explores the idea that the writer and artist are mediators in the multitude of experiences that constitutes landscape.

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In the first stage of a three year ARC-funded study in which the effects of using computers for the teaching and learning of mathematics are being explored, a questionnaire has been developed and is being administered to a large number of students in grades 7-10 in a representative sample of co-educational post-primary schools in Victoria. Using open and closed response formats, the information sought includes: background and biographical details; data on computer ownership and use =96 frequency and mode/s =96 for mathematics learning at home and in mathematics classes; and beliefs about mathematics and the use of computers for learning mathematics. In this paper, the focus will be on some of the preliminary findings related to ownership and use of computers for learning mathematics at home and at school. In previous research, factors such as gender, socio-economic background, and ethnicity have been identified as contributors to inequitable mathematics learning outcomes. The questionnaire data will be analysed to examine if these and other factors are related to any inequities identified in student's access to computers and in how they use computers in their learning of mathematics. The results will be presented and pertinent implications discussed.

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This report describes research into 16 ASISTM projects selected to be broadly representative of exemplars in innovation. Case studies of each project were constructed from interviews with a range of key participants, and used to develop and refine an innovation framework that is used to make sense of and describe the key features of each project. The major issue binding these projects was found to be that of student interest and engagement, and this was pursued through involving students in contemporary science, technology and mathematics (STM) practices in authentic settings. The findings point to an enriched set of purposes of STM education implicit in these projects, a set of pedagogical practices that are varied and consistent with contemporary educational thinking, and a varied array of 'actors' recruited to these projects.

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This paper presents the results of a survey conducted with students (N=97) whose teachers have used the Web in their mathematics classes. The survey looked at students’ attitudes towards learning mathematics and their responses to the use of the Internet for learning mathematics. Factor analyses were used to determine the constructs that underlie the survey. Indices formed were used to explore their relationships with each other and with other variables. Interview findings were able to support and lend insight into some of these results.

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Preschool directors, teachers, and assistants from regional and rural eastern Australia were interviewed in the autumn of 2008 to discover their knowledge and beliefs concerning whether young children had the capacity to solve mathematical problems, when young children begin to think mathematically, and their observations of children’s mathematics learning. Respondents overwhelmingly agreed that preschool children were capable of mathematical activity and thought. Fifty eight (88%) respondents believed that children had begun to exhibit mathematical thinking by age 3; 30 (46%) by their first birthday. Practitioners interviewed were able to provide examples of both incidental and planned mathematical activities across a breadth of content, including number and operations, measurement, geometry, and fundamental classifying and ordering activities. The practitioners also demonstrated a creditable awareness of children who seemed to have a good grasp of mathematics. Many practitioners realized that mathematical proclivity could be shown in the processes children use as they engaged in mathematical activity and solved mathematical problems.

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Very recently 63Cu NMR has been shown to be extremely sensitive in detecting and differentiating between the precipitate phases that form in Al-Cu alloys during heat treatment. This technique is now used to quantify the effectiveness of small additions of Sn to the alloy Al-1.7 at.% Cu in promoting the rapid nucleation and growth of the θ'-phase precipitate. Two parallel series of 63Cu NMR spectra were recorded for Al-1.7 at.% Cu and Al-1.7 at.% Cu-0.01 at.% Sn: (i) aged at 130° C to observe the comparative rate of phase evolution and (ii) aged at 200° C to observe the rate of growth of θ'-phase and to compare with the Vickers hardness of the alloys aged at 200° C for similar periods. Evidence is presented that a metastable precursor phase to θ' (labelled TPHM2757math001) is formed in Al-Cu-Sn which transforms to θ' on further aging.

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Geocaching is a global treasure hunt that invites people of all ages to discover actively the beauty of their environment through the assistance of a Global Positioning Systems (GPS), mathematical know-how, and a bit of foraging. If you are seeking a new way to engage your students in a motivating and exciting real-life task, then geocaching might be the answer. The purpose of this article is to describe the experience of our shcool-based geocaching project undertaken with children in Prep (5-6) and the senior primary Grades (ages 10-12). We will share the potential for mathematical learning and engagement. It is argued that geocaching provides the opportunity for rich engagement with key mathematical concepts that goes beyond what can be acheived during a typical lesson.

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There is growing concern about falling levels of student engagement with school science, as evidenced by studies of student attitudes, and decreasing participation at the post compulsory level. One major response to this, the Australian School Innovation in Science, Technology and Mathematics (ASISTM) initiative, involves partnerships between schools and community and industry organisations in developing curriculum projects at the local level. This project fulfils many of the conditions advocated to engage students in learning in the sciences. ASISTM is underpinned by the notion of innovation. This paper describes the findings of case study research in which 16 ASISTM projects were selected as innovation exemplars. A definition of innovation and an innovation framework were developed, through which the case studies were analysed to make sense of the significance of the ideas and practices, participating actors, and outcomes of the projects. Through this analysis we argue that innovation is a powerful idea for framing curriculum development in the sciences at the local level that is generative for students and teachers, and that these ASISTM projects provide valuable models for engaging students, and for teacher professional learning.

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This paper reports on the findings of a research project that investigated the use of Information and Communication Technologies (ICT) in Primary mathematics in an urban and rural network. Surveys and semi structured interviews were held to obtain insight into teachers’ and students’ perceptions and attitudes towards the usage of ICT in the teaching and learning of mathematics. The presentation will highlight the findings and include a discussion on the types of ICT that students use in and out of school to learn mathematics.