939 resultados para mathematics curriculum
Holistically approaching curriculum renewal: A case study of the Queensland University of Technology
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There are still many programs in Australia and overseas where curricula comprise largely 20th Century-relevant graduate outcomes, framed in 20th Century learning and teaching approaches. A ‘Dynamic and Deliberative Model for Curriculum Renewal’ (DDMCR) model exists for undertaking such curriculum renewal that draws on the experiences of educators around the world, however there are few experiences to date in applying this model. At the Queensland University of Technology, the 2012 accreditation by Engineers Australia observed that, despite being exposed to relevant discipline-specific engineering curriculum and practice, students did not seem to be aware of the relevance of sustainable development to their degree, beyond first year exposure. In addressing this feedback, level 8 Australian Qualifications Framework, and drawing ideas from the DDMCR model, faculty senior management undertook a full review of the engineering curriculum.
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This paper reflects on how relevance has been invoked as a curricular principle, both by students and teachers, in curriculum documents and in curriculum theory, to explore its variously conceived parameters and conditions. By posing the questions ‘relevant to whom?’, ‘relevant to what?’, ‘relevant how?’ and ‘relevant when?’ this paper exposes relevance as both a curricular virtue and a curricular constraint. It draws on an empirical project undertaken in the prevocational curriculum offered in Australia’s recently extended compulsory schooling for students in non-academic pathways. Data vignettes offer windows into two settings to exemplify the different ways relevance can be interpreted, stretched or contested. Using Bernstein’s distinction between vertical and horizontal discourses and knowledge structures, the analysis identifies what is gained and what is lost when relevance, variously defined, serves as a principle for curricular selection.
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Background: Internationally, there is a growing concern for developing STEM education to prepare students for a scientifically and technologically advanced society. Despite educational bodies lobbying for an increased focus on STEM, there is limited research on how engineering might be incorporated especially in the elementary school curriculum. A framework of five comprehensive core engineering design processes (problem scoping, idea generation, design and construction, design evaluation, redesign), adapted from the literature on design thinking in young children, served as a basis for the study. We report on a qualitative study of fourth-grade students’ developments in working an aerospace problem, which took place during the first year of a 3-year longitudinal study. Students applied design processes together with their mathematics and science knowledge to the design and redesign of a 3-D model plane. Results: The study shows that through an aerospace engineering problem, students could complete initial designs and redesigns of a model plane at varying levels of sophistication. Three levels of increasing sophistication in students’ sketches were identified in their designs and redesigns. The second level was the most prevalent involving drawings or templates of planes together with an indication of how to fold the materials as well as measurements linked to the plane’s construction. The third level incorporated written instructions and calculations. Students’ engagement with each of the framework’s design processes revealed problem scoping components in their initial designs and redesigns. Furthermore, students’ recommendations for improving their launching techniques revealed an ability to apply their mathematics knowledge in conjunction with their science learning on the forces of flight. Students’ addition of context was evident together with an awareness of constraints and a consideration of what was feasible in their design creation. Interestingly, students’ application of disciplinary knowledge occurred more frequently in the last two phases of the engineering framework (i.e., design evaluation and redesign), highlighting the need for students to reach these final phases to enable the science and mathematics ideas to emerge. Conclusions: The study supports research indicating young learners’ potential for early engineering. Students can engage in design and redesign processes, applying their STEM disciplinary knowledge in doing so. An appropriate balance is needed between teacher input of new concepts and students’ application of this learning in ways they choose. For example, scaffolding by the teacher about how to improve designs for increased detail could be included in subsequent experiences. Such input could enhance students’ application of STEM disciplinary knowledge in the redesign process. We offer our framework of design processes for younger learners as one way to approach early engineering education with respect to both the creation of rich problem experiences and the analysis of their learning.
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This study investigated the classroom environment in an underperforming mathematics classroom. The objectives were: (1) to investigate the classroom environment and identify influences upon it, and (2) to further explore those influences (i.e., teacher knowledge). This was completed using a diachronic case study approach in which data were gathered during lesson observations and coaching sessions. These data were analysed to describe and exemplify the classroom environment, then further described against forms of teacher knowledge. Conjectures regarding the importance of teacher knowledge of content were made which formed a base for developing a model of teacher planning and pedagogy.
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Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students’ routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world...
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As statistical education becomes more firmly embedded in the school curriculum and its value across the curriculum is recognised, attention moves from knowing procedures, such as calculating a mean or drawing a graph, to understanding the purpose of a statistical investigation in decision making in many disciplines. As students learn to complete the stages of an investigation, the question of meaningful assessment of the process arises. This paper considers models for carrying out a statistical inquiry and, based on a four-phase model, creates a developmental squence that can be used for the assessment of outcomes from each of the four phases as well as for the complete inquiry. The developmental sequence is based on the SOLO model, focussing on the "observed" outcomes during the inquiry process.
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This paper reports on the results of a project aimed at creating a research-informed, pedagogically reliable, technology-enhanced learning and teaching environment that would foster engagement with learning. A first-year mathematics for engineering unit offered at a large, metropolitan Australian university provides the context for this research. As part of the project, the unit was redesigned using a framework that employed flexible, modular, connected e-learning and teaching experiences. The researchers, interested in an ecological perspective on educational processes, grounded the redesign principles in probabilistic learning design (Kirschner et al., 2004). The effectiveness of the redesigned environment was assessed through the lens of the notion of affordance (Gibson, 1977,1979, Greeno, 1994, Good, 2007). A qualitative analysis of the questionnaire distributed to students at the end of the teaching period provided insight into factors impacting on the successful creation of an environment that encourages complex, multidimensional and multilayered interactions conducive to learning.
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Recent international educational developments have important implications for the skills and understandings in curriculum and assessment that teachers develop, both in pre-service and in practice. Global developments in curriculum and assessment reform require teachers to utilise a network of knowledges and develop a repertoire of assessment skills and understandings. In a context of testing, accountability and auditing, data analysis skills are increasingly required to examine pedagogic practices for the development of intervention teaching and learning strategies to improve learning outcomes for all students (Marsh, 2009). However, too often the data are used predominantly for accountability purposes that serve at national levels as a catalyst for measurement, comparison and allocation of funding (Lingard and Sellar, 2013). With increased accountability demands brought about by global competitiveness and programs for international measurement of educational attainment, there has also emerged an increase in the use of testing, which in some countries has become the dominant form of assessment. For example in Australia, national testing of students in Years 3, 5, 7 and 9 began in 2008 under the National Australia Program – Literacy and Numeracy (NAPLAN). The results from this program for each school are published on the My School website (www.myschool.edu.au), increasing the competitive nature of the testing and intensifying the demands on teachers and schools. In particular, there has been a shift in the enacted curriculum in Australia to a focus on literacy and numeracy because the curriculum is tested.
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This study focuses on the experiences of 91 Grade 4 students who had been introduced to expectation and variation through trials of tossing a single coin many times. They were then given two coins to toss simultaneously and asked to state their expectation of the chances for the possible outcomes, in a similar manner expressed for a single coin. This paper documents the journey of the students in discovering that generally their initial expectation for two coins was incorrect and that despite variation, a large number of tosses could confirm a new expectation.
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By the time students reach the middle years they have experienced many chance activities based on dice. Common among these are rolling one die to explore the relationship of frequency and theoretical probability, and rolling two dice and summing the outcomes to consider their probabilities. Although dice may be considered overused by some, the advantage they offer is a familiar context within which to explore much more complex concepts. If the basic chance mechanism of the device is understood, it is possible to enter quickly into an arena of more complex concepts. This is what happened with a two hour activity engaged in by four classes of Grade 6 students in the same school. The activity targeted the concepts of variation and expectation. The teachers held extended discussions with their classes on variation and expectation at the beginning of the activity, with students contributing examples of the two concepts from their own experience. These notions are quite sophisticated for Grade 6, but the underlying concepts describe phenomena that students encounter every day. For example, time varies continuously; sporting results vary from game to game; the maximum temperature varies from day to day. However, there is an expectation about tomorrow’s maximum temperature based on the expert advice from the weather bureau. There may also be an expectation about a sporting result based on the participants’ previous results. It is this juxtaposition that makes life interesting. Variation hence describes the differences we see in phenomena around us. In a scenario displaying variation, expectation describes the effort to characterise or summarise the variation and perhaps make a prediction about the message arising from the scenario. The explicit purpose of the activity described here was to use the familiar scenario of rolling a die to expose these two concepts. Because the students had previously experienced rolling physical dice they knew instinctively about the variation that occurs across many rolls and about the theoretical expectation that each side should “come up” one-sixth of the time. They had observed the instances of the concepts in action, but had not consolidated the underlying terminology to describe it. As the two concepts are so fundamental to understanding statistics, we felt it would be useful to begin building in the familiar environment of rolling a die. Because hand-held dice limit the explorations students can undertake, the classes used the soft-ware TinkerPlots (Konold & Miller, 2011) to simulate rolling a die multiple times.
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This is a critical review of the scope of the literacy curriculum in the twenty-first century, uncovering the strengths, controversies, and silences that have divided literacy researchers and educators. It conceptualizes the literacy curriculum as a particular set of socially organized symbolic practices that are always selective, and which are inextricably connected to the function and organization of schooling. We trace the political, historical, and ideological antecedents of literacy curriculum and schooling as a form of cultural apparatus of the nation-state, before tracing some of the major interpretive paradigms that have influenced the shape of the literacy curriculum in many parts of the world. These include debates about skills-based approaches, whole language, systemic functional grammar, and critical literacy. It then draws attention to noteworthy advances and shifts in the field over recent decades: debates about the role of orality in the literacy curriculum, home-school community literacy practices, teacher and student knowledge of language and grammar, and the role of curriculum area literacies. It anticipates the future of the literacy curriculum in online textual environments and the changing sensorial and material nature of literacy practices, while acknowledging that curriculum innovation is always limited in complex ways by historically established pedagogic discourses of schooling.
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The practice of statistics is the focus of the world in which professional statisticians live. To understand meaningfully what this practice is about, students need to engage in it themselves. Acknowledging the limitations of a genuine classroom setting, this study attempted to expose four classes of year 5 students (n=91) to an authentic experience of the practice of statistics. Setting an overall context of people’s habits that are considered environmentally friendly, the students sampled their class and set criteria for being environmentally friendly based on questions from the Australian Bureau of Statistics CensusAtSchool site. They then analysed the data and made decisions, acknowledging their degree of certainty, about three populations based on their criteria: their class, year 5 students in their school and year 5 students in Australia. The next step was to collect a random sample the size of their class from an Australian Bureau of Statistics ‘population’, analyse it and again make a decision about Australian year 5 students. At the end, they suggested what further research they might do. The analysis of students’ responses gives insight into primary students’ capacity to appreciate and understand decision making, and to participate in the practice of statistics, a topic that has received very little attention in the literature. Based on the total possible score of 23 from student workbook entries, 80 % of students achieved at least a score of 11.
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This thesis uses a qualitative case study methodology to investigate kindergarten teachers' pedagogical practices in four Hong Kong (HK) kindergarten classrooms. It considers the transfer of early years teaching and learning approaches from Western cultural contexts to the predominantly Chinese, Confucian heritage culture, of Hong Kong. The study will be of particular interest in countries and contexts in which elements of traditional early childhood curricula are accorded different status.
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Dissecting how genetic and environmental influences impact on learning is helpful for maximizing numeracy and literacy. Here we show, using twin and genome-wide analysis, that there is a substantial genetic component to children’s ability in reading and mathematics, and estimate that around one half of the observed correlation in these traits is due to shared genetic effects (so-called Generalist Genes). Thus, our results highlight the potential role of the learning environment in contributing to differences in a child’s cognitive abilities at age twelve.
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Welcome to this special edition of the Journal of Learning Design which focuses on legal education and curriculum renewal in law. At the outset ,we would like to thank the editors of the Journal, Margaret Lloyd and Nan Bahr for agreeing to host this special edition. The special edition is timely as legal education in Australia is enjoying a lively period of renewal.