188 resultados para Mathematical problem solving


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This article draws on data from a three-year Australian Research Council-funded study that examined the ways in which young children become numerate in the twenty-first century. We were interested in the authentic problem-solving contexts that we believe are required to create meaningful learning. This being so, our basic tenet was that such experiences should involve the use of information and communications technologies (ICT) where relevant, but not in tokenistic ways. This article highlights learning conditions in which young children can become numerate in contemporary times. We consider ‘academic’ or ‘school-based’ mathematical tasks in the context of a Mathematical Tasks Continuum. This continuum was conceptualised to enable focused and detailed thinking about the scope and range of mathematical tasks that young children are able to engage within contemporary school contexts. The data from this study show that most of the tasks the children experienced in early years mathematics classes were unidimensional in their make up. That is, they focus on the acquisition of specific skills and then they are practiced in disembedded contexts. We suggest that the framework created in the form of the Mathematical Tasks Continuum can facilitate teachers thinking about the possible ways in which they could extend children’s academic work in primary school mathematics, so that the process of becoming numerate becomes more easily related to authentic activities that they are likely to experience in everyday life.

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1. Introduction Japanese Lesson Study first came to world-wide attention through Makoto Yoshida’s doctoral dissertation (Yoshida, 1999; Fernandez & Yoshida, 2004) and Stigler and Hiebert’s (1999) accounts of Lesson Study based on the Third International Mathematics and Science Study (TIMSS). By 2004, Lesson Study was taking place in the USA in at least 32 states and 150 lesson study clusters.Lewis (2002) describes the Lesson Study Cycle as having four phases: goal-setting and planning – including the development of the Lesson Plan; teaching the “research lesson” – enabling the lesson observation; the post-lesson discussion; and the resulting consolidation of learning, which has many far-reaching consequences (see, for example, Lewis & Tsuchida, 1998). It could be said that research lessons make participants and observers think quite profoundly about specific and general aspects of teaching.In Japan, Lesson Study occurs across many curriculum areas, mainly at the elementary school level, and to a lesser extent junior secondary. In mathematics, the research lesson usually follows the typical lesson pattern for a Japanese “structured problem solving lesson”.Major characteristics of such lessons include: the hatsumon – the thought-provoking question or problem that students engage with and that is the key to students’ mathematical development and mathematical connections; kikan-shido – sometimes referred to as the “purposeful scanning” that takes place while students are working individually or in groups, which allows teachers not only to monitor students’ strategies but also to orchestrate their reports on their solutions in the neriage phase of the lesson; neriage – the “kneading” stage of alesson that allows students to compare, polish and refine solutions through the teacher’s orchestration and probing of student solutions; and matome — the summing up and careful review of students’ discussion in order to guide them to higher levels of mathematical sophistication (see, for example, Shimizu, 1999).

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International Association for the Evaluation of Educational Achievement (IEA) cross-national studies (FIMS, SIMS and TIMSS) show that gender differences in mathematical achievements and attitudes have decreased considerably over thirty years (Hanna, 2000), however, mathematics is still historically stereotyped as a male domain with crucial evidence supporting this belief (Forgasz, Leder, & Kloosterman, 2009). Previous research showed that gender differences in mathematics participation,performance and achievement existed widely in the majority of English speaking countries, specifically favouring boys (Forgasz, 1992; Hyde, Fennema, & Lamon, 1990; Tiedemann, 2000). Hyde, Lindberg, Linn, Ellis and Williams (2008) pointed out that the stereotype that females lack mathematical ability persists and is widely held by parents and teachers.Mathematics teaching materials play an important role in mathematics teaching and learning. The contents within mathematical teaching materials are rational, and deliver both explicit and implicit information. The explicit information refers to mathematics knowledge that students can learn from textbooks, while the latter one, also named as hidden curriculum, contains social and cultural messages. Hidden curriculum is a side effect of education. It has deep and long-term influences on students’ construction of math-gender stereotype that impact their future mathematicallearning (Zhang & Zhou, 2008). Therefore, this study will investigate Chinese andAustralian elementary mathematics teaching materials to explore the messages of gender equity and inequity delivered through hidden curriculum including names, images and problem-solving contexts. Based on the findings, practical implications concerning the promotion of equitable gender environments within elementary mathematics teaching materials from a cross-cultural perspective will be discussed.

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Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field.Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a textual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space.

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Numerous theories have been formulated in an attempt to explain the psychological differences between violent offenders and non-offenders. Constructs that have emerged as salient in such scholarship include anger expression, social problem solving, locus of control, attitudes toward women, impulsivity and temper. Although a considerable amount of sound research has been conducted into 'violent offending' per se, in general terms, research into family and domestic violence is yet to be as methodologically and theoretically rigorous. In an attempt to link these areas of work, and to identify the risk factors (or 'criminogenic needs') of specific sub-groups of male offenders, this research compared: (I) property offenders, (2) those who had been· 'violent against strangers', (3) those who had been 'violent against intimates' and (4) non-offenders. In an effort to address one of the shortcomings of prior research, potentially confounding variables such as age, education level cultural identity, and socio-economic status were controlled for in an effort to arrive at more meaningful representations of each offender group's specific psychological deficits and abundances. A number of differences were highlighted between the groups, but few of these remained after demographic
covariates were controlled for. This paper details the nature of these differences, while also proposing that future studies adopt a similar methodology.

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Requirements Engineering (RE) is a commencing phase in the systems development life cycle and concerned with understanding and specifying the customer's requirements. RE has been recognized as a complex cognitive problem solving process which takes place in an unstructured and poorly understood problem .context. A recent understanding describes the RE process as inherently creative, involving cycles of incremental building followed by insight-driven econceptualization .of the problem space. This chapter relates this new understanding to various creative process models described in the creativity and psychology of problem solving literature.

A review of current attempts to support problem solving in RE using
various design rationale approaches suggests., that their common major
wealmess lies in the lack of support for the creative and insight-driven problem solving process in RE. In addressing this weakness, the chapter suggests a new approach to promoting and supporting RE creativity using design rationale. The suggested approach involves the ad hoc recording of rationale to support the creative exploration complemented by a post hoc conceptual characterization of the problem space to support insight driven reconceptualization.

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A major issue emerging from the research and debate concerning quality in higher education has been an emphasis on the value of the acquisition of generic skills by undergraduate students, as indicators of quality in education. Music educators have long recognised the contribution music makes to the general education of learners. Learning in and through music can present varied and complex means for the acquisition of generic life skills such as: problem solving, decision-making, critical thinking, oral and written communication and teamwork. This paper documents one particular course of action that was implemented within a university undergraduate primary teacher education program, to systematically gauge learner perceptions about generic skill development/enhancement before and after participation in the music component of the core arts education subject.

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Little is known about the acquisition of decision-making skills in nursing students as a function of experience and academic ability. Knowing how experience and academic skills interact may help inform clinical education programs and formulate ways of assessing students' progress. The aims of the present study were to develop a problem-solving task capable of measuring clinical decision-making skills in novice nurses at different levels of domain-specific knowledge; and to establish the relative impact on decision-making of domain-specific knowledge and general ability as determinants of the acquisition of decision-making skills. Three types of clinical problems of increasing complexity were developed. Sixty second-year and third-year student nurses with high and low academic scores were studied in terms of their ability to generate hypotheses for a hypothetical case, recognize disconfirming information and the need to access additional information, and diagnostic accuracy. The results showed that general academic ability and knowledge function partly independently in the acquisition of expertise in nursing. Academic ability affects decision-making in low complexity tasks, but as case complexity increases, domain-specific knowledge and experience determines decision-making skills. There are important differences in the way novices with different levels of knowledge and ability make clinical decisions and these can be studied by systematically increasing the complexity of the decision task. These results have implications for the way in which clinical education is structured and evaluated.

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Objective
This study was concerned with examining the coping and psychological adjustment of people with multiple sclerosis (MS) and determining how they were different in these dimensions from people from the general population. The role of severity and duration of illness as well as levels of social support on coping style and adjustment were also evaluated.

Method
The participants were 381 (144 men, 237 women) people with MS and 291 (101 men, 190 women) people from the general population.

Results
The results demonstrated that people with MS (particularly men) were less likely to adopt coping styles related to problem solving and seeking support and demonstrated poorer levels of adjustment on all dimensions. Adopting a wishful thinking coping style, as well as a lack of problem-focused coping or failure to seek social support, was also more likely to be associated with poorer psychological adjustment for both men and women with MS. Levels of health impairment were only minimally related to psychological adjustment, particularly for men.

Discussion
These findings highlight the importance of developing educational programs that include strategies to adopt more problem-focused coping strategies, so that people with MS can more readily adjust to their illness.

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Twelve Australian and 12 Chinese heritage students from a third-year university computer ethics subject completed a Readiness for Online Learning Questionnaire; and six students from each of these two groups participated in a student-facilitated problem-solving discussion through computer-mediated communication. The questionnaire comparisons showed that the two groups of students were equally willing to self-manage their own learning, but that Australian students were significantly more comfortable with e-learning. The analysis of student postings in the CMC component showed that, collectively, Australian students posted more messages than did the Chinese students. Both groups participated equally in socialisation online; although Chinese heritage students posted a higher number of messages associated with organisational matters; and Australian students posted a larger number of message components associated with intellectual contributions to the discussion. These results are interpreted in a theoretical context and implications for practice are drawn.

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This paper contends that the arts provide a foundation for the intensifying effort that leadership, creative aptitude and expertise are making to existing and emerging professions. Participation in arts-based (school and/or community) programs 'have proven to be educational, developmentally rich, and cost-effective ways to provide students the skills they need to be productive participants in today's economy' (Psilos, 2002, p. 2). In particular, this paper explores the relationship between leadership development in young people through their engagement with arts education experiences, specifically the capacity of the arts to develop the generic skills of communication, team work, problem-solving and creative interpretation-skills considered essential for productive participation in today's economy and skills that augment leadership potential.

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Agent technology provides a new way to model many complex problems like financial investment planning. With this observation in mind, a financial investment planning system was developed from agent perspectives with 12 different agents integrated. Some of the agents have similar problem solving and decision making capabilities. The results from these agents require to be combined. Ordered Weighted Averaging (OWA) operator was chosen to aggregate different results. Details on how OWA was applied as well as appropriate evaluation are presented.

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This paper investigates the learning behaviour, learning environment and learning outcomes of Hong Kong Chinese students enrolled on an Australian university's Bachelor of Business degree course taught by visiting Australian lecturers in Hong Kong. The Chinese students are task-focused and passive learners. They do not demonstrate creative thinking, critical analysis or risk taking in problem solving, and appear to focus on surface-level rote learning. Semi-structured interviews with students and lecturers identified the changes experienced in learning behaviour and teaching strategies. By applying a teaching and learning value chain developed by Radbourne in 2001 and using Biggs's 3P culturally modified model of teaching and learning, new teaching strategies were developed to ensure that the Chinese Hong Kong students graduated with the capabilities required to be effective in the global workplace. (Contains 2 figures and 1 table.)

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EXDOC is an on-line export documentation system implemented by the Australian Quarantine Inspection Service [AQIS] and used currently by 90% of meat exporters. At a time when governments world-wide are increasingly committed to introducing electronic service delivery [ESD], this is a timely exemplar of innovative practice. In this paper, we consider the initial implementation of EXDOC in the meat export sector in order to identify the factors that led to the successful adoption of this system.

We consider these factors in the context of diffusion of innovation literature supplemented with Bijker’s social constructivist framework. The theoretical flexibility provided by this combination of approaches enabled us to draw out a number of implications from the data that bear on strategy formulation.

Factors found to have significant bearing on the early adoption of EXDOC included: (1) idiosyncratic factors precipitating the initial implementation (2) the constraints based on accommodating user capabilities (3) the organisational role taken by AQIS (4) diffusion as a self-reinforcing and value-adding effect.

A standard represents both a problem as a requirement of such a system and a problem solving strategy eliciting compliance to the system requirements. Over the period of shaping and stabilizing of the industry standard, AQIS was required to act as facilitator in the coordination of the actors.

The implementation of systems like EXDOC enables users to identify what they want from a system, specifying their preferences and tradeoffs. Such implementations offer opportunities for systems redesign within export business sectors with major strategic implications for the industry.

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For over a decade the graphic calculator has been promoted not only as a computational tool but also as a thinking tool — for example, as an aid to enhance conceptual understanding, as a problem-solving tool and as a means of enabling students to engage in meaningful investigations. However, research studies focusing on these aspects have shown mixed results and have mostly focused on graphs and functions. This paper reports on one aspect of a case study in a year 10 mathematics classroom — the role of the graphic calculator as a thinking tool. Data from observations of nine statistics lessons and interviews with the teacher and five students are analysed from three perspectives: the teacher’s intentions with respect to the use of the graphic calculator as a tool to promote conceptual understanding as opposed to procedural competence; the opportunities afforded during the lessons for student investigation; and students’ views of how the graphic calculator enhanced conceptual understanding. The results provide insights into ways in which students perceive the graphic calculator as promoting conceptual understanding, as well as some of the difficulties encountered in practice in a classroom.