991 resultados para Mathematics(all)


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Access All was performance produced following a three-month mentorship in web-based performance that I was commissioned to conduct for the performance company Igneous. This live, triple-site performance event for three performers in three remote venues was specifically designed for presentation at Access Grid Nodes - conference rooms located around the globe equipped with a high end, open source computer teleconferencing technology that allowed multiple nodes to cross-connect with each other. Whilst each room was setup somewhat differently they all deployed the same basic infrastructre of multiple projectors, cameras, and sound as well as a reconfigurable floorspace. At that time these relatively formal setups imposed a clear series of limitations in terms of software capabilities and basic infrastructure and so there was much interest in understanding how far its capabilities might be pushed.----- Numerous performance experiments were undertaken between three Access Grid nodes in QUT Brisbane, VISLAB Sydney and Manchester Supercomputing Centre, England, culminating in the public performance staged simultaneously between the sites with local audiences at each venue and others online. Access All was devised in collaboration with interdisciplinary performance company Bonemap, Kelli Dipple (Interarts curator, Tate Modern London) and Mike Stubbs British curator and Director of FACT (Liverpool).----- This period of research and development was instigated and shaped by a public lecture I had earlier delivered in Sydney for the ‘Global Access Grid Network, Super Computing Global Conference’ entitled 'Performance Practice across Electronic Networks'. The findings of this work went on to inform numerous future networked and performative works produced from 2002 onwards.

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This report investigates lessons learned by educators in the United States when providing a standards-based curriculum for all students including Students with Disabilities (SWD). Assumptions about implementation of these lessons are then made to the Queensland school system. Queensland mainstream schools currently provide a standards-based curriculum for over sixteen thousand-four hundred students with mild-moderate disabilities and appear to be challenged by this new educational reform and its implications to school and teacher practices, beliefs and attitudes. The analysis of US research, literature and educational policy for this report, has provided some implications for Queensland schools in the areas of student participation, achievement and curriculum planning to provide an “education for all”. The analysis and comparison of legislation and policy, which demonstrates some significant similarities, provides greater validity for the application of lessons learned in the United States to the Queensland context. The key findings about lessons learned provides Queensland schools with some assumptions as to why and how they need to refocus school leader and teachers’ practices, beliefs and attitudes to provide an “education for all”. These lessons infer that school leaders and teachers to explicitly focus on equity, expectation, accountability, performance, alignment and collaboration so that effective curriculum is provided for SWD, indeed all students, in the Queensland standards-based curriculum environment.

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Prior to entering schooling settings, many children exhibit intuitive knowledge of mathematics and many have mastered basic addition combinations. However, often as a result of formal instruction, some children begin to dislike or fear mathematics. In this study, children at a kindergarten in China took a smiley-face survey to determine how their feelings and beliefs about mathematics were affected throughout their kindergarten years.Results suggest that even children in this study have a better number sense and mathematics achievement, they appear to develop mathematics anxiety in Chinese cultural context.

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The progress of a nationally representative sample of 3632 children was followed from early childhood through to primary school, using data from the Longitudinal Study of Australian Children (LSAC). The aim was to examine the predictive effects of different aspects of communicative ability, and of early vs. sustained identification of speech and language impairment, on children's achievement and adjustment at school. Four indicators identified speech and language impairment: parent-rated expressive language concern; parent-rated receptive language concern; use of speech-language pathology services; below average scores on the adapted Peabody Picture Vocabulary Test-III. School outcomes were assessed by teachers' ratings of language/literacy ability, numeracy/mathematical thinking and approaches to learning. Comparison of group differences, using ANOVA, provided clear evidence that children who were identified as having speech and language impairment in their early childhood years did not perform as well at school, two years later, as their non-impaired peers on all three outcomes: Language and Literacy, Mathematical Thinking, and Approaches to Learning. The effects of early speech and language status on literacy, numeracy, and approaches to learning outcomes were similar in magnitude to the effect of family socio-economic factors, after controlling for child characteristics. Additionally, early identification of speech and language impairment (at age 4-5) was found to be a better predictor of school outcomes than sustained identification (at aged 4-5 and 6-7 years). Parent-reports of speech and language impairment in early childhood are useful in foreshadowing later difficulties with school and providing early intervention and targeted support from speech-language pathologists and specialist teachers.

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This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

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This paper reports on a study to measure the effectiveness of an integrated learning system (ILS) in improving mathematics achievement for low achieving Year 5 to 9 students. The study found that statistically significant gains on the integrated learning system were not supported by scores on standardised mathematics achievement tests. It also found that although student attitudes to computers decreased (significantly for some items), the students still liked the integrated learning system and felt that it had helped them to learn.

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This study explores successful junior high school principals’ leadership practices for implementing the reformed mathematics curriculum in Taipei. Avolio and Bass’s (2002) full range leadership theory was used to record data through interviews and observations of five Taipei “Grade A” junior high school principals. Findings revealed that specific leadership practices linked to management by exception-active and contingent reward (transaction leadership), and individualised consideration and idealised influence (transformational) were considered effective for implementing reform measures. Ensuring principals are aware of effective measures may further assist reform agendas.

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Attracting and retaining quality teachers to rural and remote areas has been a challenge over the last decade. Many preservice teachers are reluctant to experience a rural and remote practicum and may not consider applying to teach in such areas when they graduate. Education departments and universities need to explore innovative ways that will encourage graduates to consider undertaking a teaching position in the bush. As a way forward, preservice teachers from a regional campus of a Queensland University were invited to participate in a six-day rural experience entitled ‘Over the Hill’ that included being billeted with local families, participating in community activities and observing and teaching in classrooms. Fifteen preservice teachers were accompanied by two university academics who returned to work in a classroom as teacher for their own rural and remote professional experience. The aim of this qualitative study was to explore and describe the perceptions of a rural and remote teaching experience from the perspectives of the preservice teachers, the accompanying academics and the school staff hosting the program. Data were collected from the preservice teachers and accompanying academics in the form of written reflections while fourteen school staff completed a related questionnaire. The results indicated that a six-day rural and remote teaching program can provide professional benefits for all involved, preservice teachers, accompanying academics and the school staff hosting the program. Indeed, this study indicates that short experiences such as “Over the Hill” not only assist preservice teachers to make informed decisions about teaching in rural and remote areas but can provide professional benefits for accompanying academics and the schools.

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Although various studies have shown that groups are more productive than individuals in complex mathematical problem solving, not all groups work together cooperatively. This review highlights that addressing organisational and cognitive factors to help scaffold group mathematical problem solving is necessary but not sufficient. Successful group problem solving also needs to incorporate metacognitive factors in order for groups to reflect on the organisational and cognitive factors influencing their group mathematical problem solving.

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Gender and developmental differences in self-description, self-evaluation and self-esteem were investigated using 957 elementary school children in grades 3 to 7. Gender differences were found for six of the seven descriptive statements and for five of the seven evaluative statements. The major gender stereotypical findings from previous studies were replicated. Boys reported higher scores than girls on descriptive and evaluative statements about their physical abilities and mathematics, while girls reported higher scores on descriptive and evaluative statements about reading. Declines over time were noted for all self-evaluations except having good relations with peers and for global self-esteem, providing some support for the notion that the decline in self-concepts and self-esteem may be attributed to the children's perceptions of themselves becoming more accurate and less egocentric in line with their cognitive capacity to integrate external feedback realistically.

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There is a growing consensus among many educators that the goals of teaching and learning mathematics are to help students solve real-life problems, participate intelligently in daily affairs, and prepare them for jobs (Gardiner, 1994; Roeber, 1995). These goals suggest that the role of routine procedural skills should be diminished while more emphasis ought to be placed on learners gaining conceptual insights and analytical skills that appear essential in real-life mathematical problem solving (Schoenfeld, 1993; Stenmark, 1989).

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Generalising arithmetic structures is seen as a key to developing algebraic understanding. Many adolescent students begin secondary school with a poor understanding of the structure of arithmetic. This paper presents a theory for a teaching/learning trajectory designed to build mathematical understanding and abstraction in the elementary school context. The particular focus is on the use of models and representations to construct an understanding of equivalence. The results of a longitudinal intervention study with five elementary schools, following 220 students as they progressed from Year 2 to Year 6, informed the development of this theory. Data were gathered from multiple sources including interviews, videos of classroom teaching, and pre-and post-tests. Data reduction resulted in the development of nine conjectures representing a growth in integration of models and representations. These conjectures formed the basis of the theory.