774 resultados para Mathematical knowledge for teaching
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The international perspectives on these issues are especially valuable in an increasingly connected, but still institutionally and administratively diverse world. The research addressed in several chapters in this volume includes issues around technical standards bodies like EpiDoc and the TEI, engaging with ways these standards are implemented, documented, taught, used in the process of transcribing and annotating texts, and used to generate publications and as the basis for advanced textual or corpus research. Other chapters focus on various aspects of philological research and content creation, including collaborative or community driven efforts, and the issues surrounding editorial oversight, curation, maintenance and sustainability of these resources. Research into the ancient languages and linguistics, in particular Greek, and the language teaching that is a staple of our discipline, are also discussed in several chapters, in particular for ways in which advanced research methods can lead into language technologies and vice versa and ways in which the skills around teaching can be used for public engagement, and vice versa. A common thread through much of the volume is the importance of open access publication or open source development and distribution of texts, materials, tools and standards, both because of the public good provided by such models (circulating materials often already paid for out of the public purse), and the ability to reach non-standard audiences, those who cannot access rich university libraries or afford expensive print volumes. Linked Open Data is another technology that results in wide and free distribution of structured information both within and outside academic circles, and several chapters present academic work that includes ontologies and RDF, either as a direct research output or as essential part of the communication and knowledge representation. Several chapters focus not on the literary and philological side of classics, but on the study of cultural heritage, archaeology, and the material supports on which original textual and artistic material are engraved or otherwise inscribed, addressing both the capture and analysis of artefacts in both 2D and 3D, the representation of data through archaeological standards, and the importance of sharing information and expertise between the several domains both within and without academia that study, record and conserve ancient objects. Almost without exception, the authors reflect on the issues of interdisciplinarity and collaboration, the relationship between their research practice and teaching and/or communication with a wider public, and the importance of the role of the academic researcher in contemporary society and in the context of cutting edge technologies. How research is communicated in a world of instant- access blogging and 140-character micromessaging, and how our expectations of the media affect not only how we publish but how we conduct our research, are questions about which all scholars need to be aware and self-critical.
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On the basis of topical investigations on the reflection in the mathematics education, in this article there are presented some contemporary ideas about refining the methodology of mastering knowledge and skills for solving mathematical problems. The thesis is developed that for the general logical and for some particular mathematical methods to become means of solving mathematical problems, first they need to be a purpose of the education.
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The purpose of this study was to determine the knowledge and use of critical thinking teaching strategies by full-time and part-time faculty in Associate Degree Nursing (ADN) programs. ^ Sanders CTI (1992) instrument was adapted for this study and pilot-tested prior to the general administration to ADN faculty in Southeast Florida. This modified instrument, now termed the Burroughs Teaching Strategy Inventory (BTSI), returned reliability estimates (Cronbach alphas of .71, .74, and .82 for the three constructs) comparable to the original instrument. The BTSI was administered to 113 full-time and part-time nursing faculty in three community college nursing programs. The response rate was 92% for full-time faculty (n = 58) and 61% for part-time faculty (n = 55). ^ The majority of participants supported a combined definition of critical thinking in nursing which represented a composite of thinking skills that included reflective thinking, assessing alternative viewpoints, and the use of problem-solving. Full-time and part-time faculty used different teaching strategies. Full-time faculty most often used multiple-choice exams and lecture while part-time faculty most frequently used discussion within their classes. One possible explanation for specific strategy choices and differences might be that full-time faculty taught predominately in theory classes where certain strategies would be more appropriate and part-time faculty taught predominately clinical classes. Both faculty types selected written nursing care plans as the second most effective critical thinking strategy. ^ Faculty identified several strategies as being effective in teaching critical thinking. These strategies included discussion, case studies, higher order questioning, and concept analysis. These however, were not always the strategies that were used in either the classroom or clinical setting. ^ Based on this study, the author recommends that if the profession continues to stress critical thinking as a vital component of practice, nursing faculty should receive education in appropriate critical teaching strategies. Both in-service seminars and workshops could be used to further the knowledge and use of critical thinking strategies by faculty. Qualitative research should be done to determine why nursing faculty use self-selected teaching strategies. ^
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The purpose of this study was to determine the knowledge and use of critical thinking teaching strategies by full-time and part-time faculty in Associate Degree Nursing (ADN) programs. Sander's CTI (1992) instrument was adapted for this study and pilottested prior to the general administration to ADN faculty in Southeast Florida. This modified instrument, now termed the Burroughs Teaching Strategy Inventory (BTSI), returned reliability estimates (Cronbach alphas of .71, .74, and .82 for the three constructs) comparable to the original instrument. The BTSI was administered to 113 full-time and part-time nursing faculty in three community college nursing programs. The response rate was 92% for full-time faculty (n = 58) and 61 % for part-time faculty (n = 55). The majority of participants supported a combined definition of critical thinking in nursing which represented a composite of thinking skills that included reflective thinking, assessing alternative viewpoints, and the use of problem-solving. Full-time and part-time faculty used different teaching strategies. Fulltime faculty most often used multiple-choice exams and lecture while part-time faculty most frequently used discussion within their classes. One possible explanation for specific strategy choices and differences might be that full-time faculty taught predominately in theory classes where certain strategies would be more appropriate and part-time faculty taught predominately clinical classes. Both faculty types selected written nursing care plans as the second most effective critical thinking strategy. Faculty identified several strategies as being effective in teaching critical thinking. These strategies included discussion, case studies, higher order questioning, and concept analysis. These however, were not always the strategies that were used in either the classroom or clinical setting. Based on this study, the author recommends that if the profession continues to stress critical thinking as a vital component of practice, nursing faculty should receive education in appropriate critical teaching strategies. Both in-service seminars and workshops could be used to further the knowledge and use of critical thinking strategies by faculty. Qualitative research should be done to determine why nursing faculty use self-selected teaching strategies.
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The purpose of this study is to explore teacher self-efficacy at a time of radical mathematical reform. Project Maths – the new initiative which was rolled out nationwide in 2010 differs from previous attempts at innovation in that it targets a much closer connection between curriculum and pedagogy. Gone are the days of well-rehearsed routines where the role of the mathematician was essentially that of demonstrator. Teaching for understanding is now the main ‘official’ pedagogical focus, with emphasis on the practitioner playing the part of mediator between subject-matter and student. Mathematical instruction is not merely concerned with the transmission of knowledge and skills which is a particular pedagogical position to take. It is also an emotional practice (Hargreaves, 1998) that colours and expresses the feelings and actions of practitioners. While emotion plays a key role in teachers’ commitment to curricular reform, it is also shaped by the social and cultural contexts of mathematical change, alongside with the attitudes and beliefs of the mathematical teaching community. Inspired by Bandura’s theory of learning (1986), this investigation aims to shed light on the complex interplay between so-called mastery and vicarious experiences, social persuasion and physiological states. Vygotsky’s view of learning (1978) as a socio-cultural process is also drawn upon, as it provides a useful structure against which teacher self-efficacy and professional development can be examined. Finally, Hiebert’s theory (1986) is used to examine mathematics teaching self-efficacy and mathematics self-efficacy.
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Undoubtedly, statistics has become one of the most important subjects in the modern world, where its applications are ubiquitous. The importance of statistics is not limited to statisticians, but also impacts upon non-statisticians who have to use statistics within their own disciplines. Several studies have indicated that most of the academic departments around the world have realized the importance of statistics to non-specialist students. Therefore, the number of students enrolled in statistics courses has vastly increased, coming from a variety of disciplines. Consequently, research within the scope of statistics education has been able to develop throughout the last few years. One important issue is how statistics is best taught to, and learned by, non-specialist students. This issue is controlled by several factors that affect the learning and teaching of statistics to non-specialist students, such as the use of technology, the role of the English language (especially for those whose first language is not English), the effectiveness of statistics teachers and their approach towards teaching statistics courses, students’ motivation to learn statistics and the relevance of statistics courses to the main subjects of non-specialist students. Several studies, focused on aspects of learning and teaching statistics, have been conducted in different countries around the world, particularly in Western countries. Conversely, the situation in Arab countries, especially in Saudi Arabia, is different; here, there is very little research in this scope, and what there is does not meet the needs of those countries towards the development of learning and teaching statistics to non-specialist students. This research was instituted in order to develop the field of statistics education. The purpose of this mixed methods study was to generate new insights into this subject by investigating how statistics courses are currently taught to non-specialist students in Saudi universities. Hence, this study will contribute towards filling the knowledge gap that exists in Saudi Arabia. This study used multiple data collection approaches, including questionnaire surveys from 1053 non-specialist students who had completed at least one statistics course in different colleges of the universities in Saudi Arabia. These surveys were followed up with qualitative data collected via semi-structured interviews with 16 teachers of statistics from colleges within all six universities where statistics is taught to non-specialist students in Saudi Arabia’s Eastern Region. The data from questionnaires included several types, so different techniques were used in analysis. Descriptive statistics were used to identify the demographic characteristics of the participants. The chi-square test was used to determine associations between variables. Based on the main issues that are raised from literature review, the questions (items scales) were grouped and five key groups of questions were obtained which are: 1) Effectiveness of Teachers; 2) English Language; 3) Relevance of Course; 4) Student Engagement; 5) Using Technology. Exploratory data analysis was used to explore these issues in more detail. Furthermore, with the existence of clustering in the data (students within departments within colleges, within universities), multilevel generalized linear models for dichotomous analysis have been used to clarify the effects of clustering at those levels. Factor analysis was conducted confirming the dimension reduction of variables (items scales). The data from teachers’ interviews were analysed on an individual basis. The responses were assigned to one of the eight themes that emerged from within the data: 1) the lack of students’ motivation to learn statistics; 2) students' participation; 3) students’ assessment; 4) the effective use of technology; 5) the level of previous mathematical and statistical skills of non-specialist students; 6) the English language ability of non-specialist students; 7) the need for extra time for teaching and learning statistics; and 8) the role of administrators. All the data from students and teachers indicated that the situation of learning and teaching statistics to non-specialist students in Saudi universities needs to be improved in order to meet the needs of those students. The findings of this study suggested a weakness in the use of statistical software applications in these courses. This study showed that there is lack of application of technology such as statistical software programs in these courses, which would allow non-specialist students to consolidate their knowledge. The results also indicated that English language is considered one of the main challenges in learning and teaching statistics, particularly in institutions where English is not used as the main language. Moreover, the weakness of mathematical skills of students is considered another major challenge. Additionally, the results indicated that there was a need to tailor statistics courses to the needs of non-specialist students based on their main subjects. The findings indicate that statistics teachers need to choose appropriate methods when teaching statistics courses.
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The goal of the present work is to develop some strategies based on research in neurosciences that contribute to the teaching and learning of mathematics. The interrelationship of education with the brain, as well as the relationship of cerebral structures with mathematical thinking was discussed. Strategies were developed taking into consideration levels that include cognitive, semiotic, language, affect and the overcoming of phobias to the subject. The fundamental conclusion was the imperative educational requirement in the near future of a new teacher, whose pedagogic formation must include the knowledge on the cerebral function, its structures and its implications to education, as well as a change in pedagogy and curricular structure in the teaching of mathematics.
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Bio-pedagogy is built on praxis, i.e. the interrelationship between reflection and innovative action where these two merge in the construction of senses to generate knowledge. Then, the following question arises: How is teaching understood? How can practice be renovated from the action-reflection-action in a recurring manner and in life itself? A way to search for those answers is the systematization of experiences –a modality of qualitative research. It promotes the transformation of a common practice, based on knowledge building by holistic approaches to the educational process complexity. The systematization of bio-pedagogical experiences involves self-organization, joy, uncertainty and passion; it respects freedom and autonomy, and generates relational spaces, which promote creative processes in learning.
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In the early 1990's the University of Salford was typical of most pre-1992 Universities in that whilst students provided much of it's income, little attention was paid to pedagogy. As Warren Piper (1994) observed, University teachers were professional in their subject areas but generally did not seek to acquire a pedagogy of HE. This was the case in Alsford. Courses were efficiently run but only a minority of staff were engaged in actively considering learning and teaching issues. Instead staff time was spent on research and commercial activity.----- In the mid-1990's the teaching environment began to change significantly. As well as Dearing, the advent of QAA and teaching quality reviews, Salford was already experiencing changes in the characteristics of its student body. Wideing access was on our agenda before it was so predominant nationally. With increasing numbers and heterogeneity of students as well as these external factors, new challenges were facing the University and teaching domain.----- This paper describes how a culture which values teaching, learning and pedagogic inquiry is being created in the university. It then focuses on parts of this process specific to the Faculty of Business and Informatics, namely the Faculty's Learning and Teaching Research Network and the establishment of the Centre for Construction Education in the School of Construction and Property Management.----- The Faculty of Business and Informatics' Learning and Teaching Research Network aims to raise the profile, quality and volume of pedagogic research across the five schools in the faculty. The initiative is targeted at all academics regardless of previous research experience. We hope to grow and nurture research potential where it exists and to acknowledge and use the existing expertise of subject-based researchers in collaborative ventures. We work on the principle that people are deliged to share what they know but need appreciation and feedback for doing so. A further ain is to surface and celebrate the significant amount of tacit knowledge in the area of pedagogy evidenced by the strength of student and employer feedback in many areas of the faculty's teaching.----- The Faculty embraces generic and core management expertise but also includes applied management disciplines in information systems and construction and property management where internationally leading research activities and networked centres of excellence have been established. Drawing from this experience, and within the context of the Faculty network, a Centre for Construction Education is being established with key international external partners to develop a sustainable business model of an enterprising pedagogic centre that can undertake useful research to underpin teaching in the Faculty whilst offering sustainable business services to allow it to benefit from pump-priming grant funding.----- Internal and external networking are important elements in our plans and ongoing work. Key to this are our links with the LTSN subject centres (BEST and CEBE) and the LTSN generic centre. The paper discusses networking as a concept and gives examples of practices which have proved useful in this context.----- The academic influences on our approach are also examined. Dixon’s (2000) work examining how a range of companies succeed through internal knowledge sharing has provided a range of transferable practices. We also examine the notion of dialogue in this context, defined by Ballantyne (1999) as ‘The interactive human process of reasoning together which comes into being through interactions based on spontaneity or need and is enabled by trust’ Social constructionist principles of Practical Authorship (Shotter, 1993, Pavlica, Holman and Thorpe, 1998)) have also proved useful in developing our perspective on learning and knowledge creation within our community of practice.
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Information graphics have become increasingly important in representing, organising and analysing information in a technological age. In classroom contexts, information graphics are typically associated with graphs, maps and number lines. However, all students need to become competent with the broad range of graphics that they will encounter in mathematical situations. This paper provides a rationale for creating a test to measure students’ knowledge of graphics. This instrument can be used in mass testing and individual (in-depth) situations. Our analysis of the utility of this instrument informs policy and practice. The results provide an appreciation of the relative difficulty of different information graphics; and provide the capacity to benchmark information about students’ knowledge of graphics. The implications for practice include the need to support the development of students’ knowledge of graphics, the existence of gender differences, the role of cross-curriculum applications in learning about graphics, and the need to explicate the links among graphics.
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Embedding Indigenous knowledge in the curriculum continues to challenge traditional western perspectives on Indigenous epistemologies and cultures. This paper will initially discuss experiences of embedding Indigenous perspectives in the curriculum at an Australian university. The project was inspired by the Reconciliation Statement which ensured funding through Teaching and Learning Large Grants. Its successful outcomes included the creation of identified positions for Indigenous academics within faculties, creation of a resource hub of relevant teaching materials and consistent documentation and awareness of Indigenous perspectives through interviews and workshops. The paper concludes by critically interrogating the methodology used to conceptualise Indigenous knowledge in embedding Indigenous perspectives in a university curriculum. This paper argues for a thorough curriculum reform if a degree of decolonisation of the western constructed Indigenous knowledge and its living systems are desired.
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Background First aid given immediately after a motor vehicle crash can have considerable benefits. Less understood however is first aid training as a prevention strategy for reducing risk-taking. A first step is to understand whether first aid skills are associated with risk-taking and injury experiences. Further, students and teachers who undergo or deliver such training offer important perspectives about implementation. Aims The research has two aims: (i) to identify whether first aid knowledge is associated with road risk-taking and injury and (ii) to examine teachers’ and students’ experiences of first aid activities within a school-based injury prevention and control program. Method Participants were 173 Year 9s (47% male) who completed a survey which included demographic information, first aid knowledge and risk-taking behaviour and injury experiences. Focus groups were held with 8 teachers who delivered, and 70 students who participated in, a school-based injury prevention and control program. Results Results showed a relationship between greater first aid knowledge and reduced engagement in risk-taking and injury experiences. Both students and teachers reported favourably on first aid however teachers also acknowledged challenges in delivering practical activities. Discussion & Conclusion It appears that first aid can be implemented within the school setting, particularly at the Year 9 level, and that both students and teachers involved in such training identify multiple benefits and positive experiences with first aid training. In addition, the findings suggest that first aid knowledge could be an important part of a prevention program.