23 resultados para Education in mathematics

em Brock University, Canada


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This research attempted to address the question of the role of explicit algorithms and episodic contexts in the acquisition of computational procedures for regrouping in subtraction. Three groups of students having difficulty learning to subtract with regrouping were taught procedures for doing so through either an explicit algorithm, an episodic content or an examples approach. It was hypothesized that the use of an explicit algorithm represented in a flow chart format would facilitate the acquisition and retention of specific procedural steps relative to the other two conditions. On the other hand, the use of paragraph stories to create episodic content was expected to facilitate the retrieval of algorithms, particularly in a mixed presentation format. The subjects were tested on similar, near, and far transfer questions over a four-day period. Near and far transfer algorithms were also introduced on Day Two. The results suggested that both explicit and episodic context facilitate performance on questions requiring subtraction with regrouping. However, the differential effects of these two approaches on near and far transfer questions were not as easy to identify. Explicit algorithms may facilitate the acquisition of specific procedural steps while at the same time inhibiting the application of such steps to transfer questions. Similarly, the value of episodic context in cuing the retrieval of an algorithm may be limited by the ability of a subject to identify and classify a new question as an exemplar of a particular episodically deflned problem type or category. The implications of these findings in relation to the procedures employed in the teaching of Mathematics to students with learning problems are discussed in detail.

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This study is a secondary data analysis of the Trends in Mathematics and Science Study 2003 (TIMSS) to determine if there is a gender bias, unbalanced number of items suited to the cognitive skill of one gender, and to compare performance by location. Results of the Grade 8, math portion of the test were examined. Items were coded as verbal, spatial, verbal /spatial or neither and as conventional or unconventional. A Kruskal- Wallis was completed for each category, comparing performance of students from Ontario, Quebec, and Singapore. A Factor Analysis was completed to determine if there were item categories with similar characteristics. Gender differences favouring males were found in the verbal conventional category for Canadian students and in the spatial conventional category for students in Quebec. The greatest differences were by location, as students in Singapore outperformed students from Canada in all areas except for the spatial unconventional category. Finally, whether an item is conventional or unconventional is more important than whether the item is verbal or spatial. Results show the importance of fair assessment for the genders in both the classroom and on standardized tests.

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This thesis research was a qualitative case study of a single class of Interdisciplinary Studies: Introduction to Engineering taught in a secondary school. The study endeavoured to explore students' experiences in and perceptions of the course, and to investigate the viability of engineering as an interdisciplinary theme at the secondary school level. Data were collected in the form of student questionnaires, the researcher's observations and reflections, and artefacts representative of students' work. Data analysis was performed by coding textual data and classifying text segments into common themes. The themes that emerged from the data were aligned with facets of interdisciplinary study, including making connections, project-based learning, and student engagement and affective outcomes. The findings of the study showed that students were positive about their experiences in the course, and enjoyed its project-driven nature. Content from mathematics, physics, and technological design was easily integrated under the umbrella of engineering. Students felt that the opportunity to develop problem solving and teamwork skills were two of the most important aspects of the course and could be relevant not only for engineering, but for other disciplines or their day-to-day lives after secondary school. The study concluded that engineering education in secondary school can be a worthwhile experience for a variety of students and not just those intending postsecondary study in engineering. This has implications for the inclusion of engineering in the secondary school curriculum and can inform the practice of curriculum planners at the school, school board, and provincial levels. Suggested directions for further research include classroom-based action research in the areas of technological education, engineering education in secondary school, and interdisciplinary education.

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This study sought to explore the current state of Grades 4 to 8 science education in Ontario from the perspective of Junior/Intermediate (J/I) teachers. The study’s methodology was a sequential 2-phased mixed methods explanatory design denoted as QUAN (qual)  qual. Data were collected from an online survey and follow-up interviews. J/I teachers (N = 219) from 48 school boards in Ontario completed a survey that collected both quantitative and qualitative data. Interviewees were selected from the survey participant population (n = 6) to represent a range of teaching strategies, attitudes toward teaching science, and years of experience. Survey and interview questions inquired about teacher attitudes toward teaching science, academic and professional experiences, teaching strategies, support resources, and instructional time allotments. Quantitative data analyses involved the descriptive statistics and chi-square tests. Qualitative data was coded inductively and deductively. Academic background in science was found to significantly influence teachers’ reported level of capability to teach science. The undergraduate degrees held by J/I science teachers were found to significantly influence their reported levels of capability to teach science. Participants identified a lack of time allocated for science instruction and inadequate equipment and facilities as major limitations on science instruction. Science in schools was reported to be of a “second-tiered” value to language and mathematics. Implications of this study include improving undergraduate and preservice experiences of elementary teachers by supporting their science content knowledge and pedagogical content knowledge.

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Peer education involves peers offering credible and reliable information about sensitive life issues through the means of an informal peer group setting (Topping & Ehly, 1998). The purpose of this instrumental case study was to examine the processes of peer education through the exploration of two teams within a young adult tobacco control initiative, Leave the Pack Behind (LTPB). This qualitative case study examined two peer education teams over an eight-month period. Interviews, focus groups and observations were conducted with 12 participants across two peer education teams. Findings show the complexities of the processes of peer education including a connection between the stages of change and the changing role of the peer educator across stages of the empowerment process. Peer education teams and factors in the macro environment were also found to impact the process of peer education. This study provides a new definition for the process of peer education: peer education is a fluid process of knowledge exchange in which peer educators adopt different styles of facilitation as people move through stages of empowerment and change. This study contributes to the academic hterature upon the processes of peer education by providing a definition, a model and an overall understanding through an ecological and empowerment framework. The findings from this study suggest peer educators can be further trained to: use specific peer educational approaches that fit with student smoker's stage of change; better understand their position as a peer educator on the LTPB team; understand the reciprocal relationship between the macro environment and the peer education teams having an effect on one another.

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Western law schools are suffering from an identity and moral crisis. Many of the legal profession's problems can be traced to the law school environment, where students are taught to reason and practice in ways that are often at odds with their own personalities and values and even with generally accepted psychologically healthy practices. The idealism, ethic of care, and personal moral compasses of many students become eroded and even lost in the present legal education system. Formalism, rationalism, elitism, and big business values have become paramount. In such a moment of historical crisis, there exists the opportunity to create a new legal education story. This paper is a conceptual study of both my own Canadian legal education and the general legal education experience. It examines core problems and critiques of the existing Western legal education organizational and pedagogical paradigm to which Canadian law schools adhere. New approaches with the potential to enrich, humanize, and heal the Canadian law school experience are explored. Ultimately, the paper proposes a legal education system that is more interdisciplinary, theoretically and practically integrated, emotionally intelligent, technologically connected, morally accountable, spiritual, and humane. Specific pedagogical and curricular strategies are suggested, and recommendations for the future are offered. The dehumanizing aspects of the law school experience in Canada have rarely been studied. It is hoped that this thesis will fill a gap in the research and provide some insight into an issue that is of both academic and public importance, since the well-being of law students and lawyers affects the interests of their clients, the general public, and the integrity and future of the entire legal system.

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This research is a qualitative study of cultural reproduction and resistance from students' perspectives. Thirteen teenagers (eight in attendance in regular high schools and five drop-outs) were recruited to take part and were involved to varying degrees through interviews, journal writing, and group interactive sessions. A purposive sampling design was used initially to recruit individuals known to the researcher through contacts in an alternate education setting. Other participants were recruited throughout the research phase. The theoretical aspects are premised on the work of Paul Willis, Michel Foucault, and Pierre Bourdieu. The reflexive praxeology of Bourdieu reflects the position taken as one way of understanding how students construct and respond to the situations of cultural dominance they experience in schools. The same reflexivity is offered for suggestions as to how teachers can respond to their own position in the education system.

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Health education is essential to the successful treatment of individuals with chronic illnesses. Self-management is a philosophical model of health education that has been shown to be effective in teaching individuals with chronic arthritis to manage their illness as part of their daily lives. Despite the proven results of arthritis self-management programs, some limitations of this form of health education were apparent in the literature. The present study attempted to address the problems of the self-management approach of health education such as reasons for lack of participation in programs and poor course outcomes. In addition, the study served to investigate the relationship between course outcomes and participation in programs with the theory upon which arthritis self-management programs are based, known as self-efficacy theory. Through a combination of qualitative and quantitative methodologies, data collection, and analysis, a deeper understanding of the self-management phenomenon in the treatment of chronic arthritic conditions was established. Findings of the study confirm findings of previous studies that suggest that arthritis self-management programs result in enhanced levels of self-efficacy and are effective in teaching individuals with arthritis to self-manage their health and health care. Findings of the study suggest that there are many factors that determine the choice of participants to participate in programs and the outcomes for the individuals who do choose to participate in programs. Some of the major determinants of enrollment and outcomes of programs include: the participant's personality, beliefs, attitudes and abilities, and the degree of emotional acceptance of the illness. Other determinants of course enrollment and outcomes included class size and length of time, timing of participation, and ongoing support after the program. The results of the study are consistent with the self-management literature and confirm the relationship between the underlying philosophies of adult education and Freire's model of education and self-management.

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Drama in education has been describea- as a valuable pedagogical medium and methodology, enriching child development in the cognitive, skill, affective, and aesthetic domains, and spanning all areas of curriculum ~ oontent. However, despite its considerable versatility and cost-effectiveness, drama appears to maintain low status within the education system of ontario. This thesis investigated teacher perceptions of both the value and status of drama in education in one ontario school board. Data were gathered in the form of an attitude questionnaire, which was devised for the purpose of this research and administered to a stratified cluster sample of 126 teachers employed in the board's elementary schools. These data were then used to examine teacher perceptions based on their knowledge, attitudes, and self-reported behaviour in the classroom. Teacher characteristics of gender, teaching assignment, years experience, and courses taken in drama were also analyzed as potential determinants of teacher attitudes towards drama in education. Results of the study confirmed apparent discrepancy between teacher perceptions of the value of drama and its current educational status. It was indicated that what teachers value most about drama is its capacity to enhance creativity, social skills, empathy, personal growth, and problem-solving ability among students. Teachers attribute its low status both to school and board priorities of time and resources, and to deficiencies in their knowledge and confidence in the planning, implementation, and evaluation of drama in the classroom. Teacher subgroup analysis revealed no significant differences in attitudes towards the status of drama in education; it did, however, suggest that both teachers who have studied drama and teachers with between ten and twenty years experience are most likely to value drama more highly than their colleagues. Recommendations proposed by the study include the provision of increased - time and resource allotment for drama within the elementary curriculum as well as increased teacher training at both faculty of education and board inservice levels.

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For most people design is a mystery. The products of design are integrated into our daily lives to the point that design has become invisible to us. However. what is subsumed in design practice is a creative problem-solving process that is applicable as a teaching strategy as well as a method for teaching the subject of design. The purpose of this study was to inquire into the current classroom practice of Ontario Visual Arts and Technological Education teachers, understand the goals of Ontario government curriculum developers, and explore the position held by the professional design community on secondary school design education. Data for this study were collected from: (a) a textual analysis of 4 Ministry curriculum documents; (b) interviews with JO stakeholders; (c) unobtrusive observations and informal conversations conducted at 7 secondary school open house events; and (d) observation of 2 sessions of an AQ course for Design and Technology. The research design modeled the design process and was divided into 2 parts: a discovery or problem-finding phase and a discussion or problem-solving phase. The results showed that design is misunderstood and misused; it has become lost between visual arts and technology where neither program holds responsibility for its delivery; students mistake working on computers for design practice; and while there is a desire within the professional community to have a voice in secondary school design education. there is no forum for participation. The technology-driven paradigm shift taking place in society today calls for a new framework for tellching and practicing dcsign. Further research is required; howcvcr. in the meantime. secondary school educators might benefit from professional development and classroom support from the professional dcsign community.

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The following phenomenologically oriented study examines and describes the relevance and effectiveness of professional development and continuing education programs for real-world situations of personal trainers. The participants were personal trainers, facility managers, and persons involved in the accreditation process. Data collection took place in 3 phases. The first phase consisted of the participants completing the PUMP Questionnaire, followed by focus groups with personal trainers and interviews with managers. The study's 3 data sets required reduction via a content analysis by question, content analysis by existential categories, and further thematic analysis using the lived relation existential dimension. The discussion contains the salient sites and issues of disconnect between clients, personal trainers, and facility managers and how they might affect the personal training experience. The intergenerational disconnect emphasized between Boomers as clients and Millennials as personal trainers requires further exploration and dialogue and underscores the need for different approaches to content and delivery of professional development and continuing education experiences for personal trainers and managers of fitness facilities.

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This qualitative case study explored the process of implementing Experiential Education (EXED) in Yukon Territory Kindergarten to Grade 12 (K-12) schools with a particular focus on investigating: (a) understandings of EXED and the drivers behind its implementation, (b) factors contributing to EXED’s suitability for Yukon schools, and (c) factors supporting and challenging the implementation of EXED in Yukon schools. Data collection involved interviews with Yukon Department of Education (YDE) staff members, principals and teachers, document collection, and reflective note collection. Findings indicated that EXED was understood as more of a methodology than a philosophy for teaching and learning. EXED implementation was primarily driven by bottom-up (school/ teacher) initiatives and was secondarily supported by top-down (YDE) efforts. The process of implementation was supported by three main factors and was challenged primarily by six factors. The results also pointed to three factors that made EXED suitable for implementation in Yukon schools.

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This study followed a qualitative research approach to investigate how welleducated professionals see the role of formal education in building human capital. Individuals need to understand the relationship between education and their human capital to justify the time and money they invested to get their education. Colleges and universities need to know the value of their output, to better value and promote the process of knowledge production and transmission and help the general public appreciate their work more. While the importance of a good education is a key factor in the success of learners, this study revealed the power of social capital in making this success a reality. It may not be enough for an individual to acquire good education to guarantee a better future. The power of social connections can be the main determinant in one’s wellbeing. This study shows that it is important to address students’ life outside school beside the importance of a classroom education.

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Youth violence is El Salvador’s most imperative social, economic and health problem today. In an attempt to contribute to youth violence prevention in the country, humanistic physical education has been implemented within schools. Using case study methodology, this study examines twelve Salvadoran school directors’ perspectives of physical education and physical education as a mean of youth violence prevention. School directors’ perceive multiple benefits of physical education including those related to student’s social and emotional health. School directors recognize physical education as a means of reducing violence because it keeps youth busy and provides an outlet to release stress. Results are discussed in relation to long-term violence prevention literature. Results suggest that it would be beneficial for school directors to understand the theory and goals behind humanistic physical education in their schools. Research maintains the continuation of research in the field of humanistic physical education in relation to youth violence prevention.

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In this study, teacher candidates’ experiences, perceptions, and knowledge of multicultural education at 2 Ontario universities were used determine to the effectiveness of their teacher education programs in preparing them to teach in multicultural classrooms. The research also strived to highlight the most effective practices in these programs that contributed to the preparation of teacher candidates for employment in culturally, racially, and ethnically diverse classrooms in Ontario. A questionnaire and interviews were used to determine the effectiveness of the program in preparing them to teach in diverse classrooms. The findings revealed the need for a greater emphasis of multicultural education in teacher education programs at these universities. The data showed that teacher candidates were most critical of the courses and the delivery of the curriculum in relation to multicultural education. Teacher candidates were also concerned with the lack of multicultural education in their practicum placements. In addition, teacher candidates indicated in the questionnaire that they felt competent adapting instruction to the needs of students in multicultural classrooms. However, the results obtained from the interviews were more varied. The interviews highlighted that teacher candidates were hesitant about teaching in culturally diverse classrooms and less likely to state that they were prepared for these teaching environments. As well, many teacher candidates believed their peers were not prepared for multicultural issues. Teacher candidates believed the program could be improved in many ways including specific instruction across all classes, more diverse practicum experiences, guest speakers, case studies, and the creation of new courses that specifically address multicultural education.