961 resultados para Trigonometry Formulas
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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The present work is determined to analyse trigonometry problem solving with the help of CabriGéomètre II software from the perspective of two axes of mathematics teaching which are: the concept formation in Klausmeier and Goodwin´s perspective(1977) and problem solving according to Sternberg’s conception(2000). With such an approach traces of a more significant learning may be found , which according to Ausubel(1980) enables the adoption of better teaching and learning practices.
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During a long time, origami was associated with decoration and craft production of ornaments and figures. However, in the end of 20th century, it began to be studied by mathematicians who were looking for interrelationships between this art and science. Through disciplines like geometry, trigonometry, calculation and linear algebra, they generated a set of axioms and theorems that became possible specific conversion of origami in computational geometry and the development of several softwares. Thus, origami began to be applied in engineering and design studies of innovative product and the term “origamics” was created to demonstrate its interdisciplinary nature. In this article will be presented some works exploring the constructive principles of origami to contribute with the diffusion of origamics. In this way more professionals will be able to understand the scientific and technological potential of this art.
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Os ambientes da L´ogica e da Topologia tˆem a compacidade como uma propriedade importante. Nos dois diferentes contextos as no¸c˜oes de compacidade s˜ao diversas. Na l´ogica, dizemos que um conjunto de f´ormulas ∆ ´e compacto quando a existˆencia de modelo para todo subconjunto finito de ∆ implica que tamb´em ∆ tem modelo. A l´ogica ´e compacta, se o conjunto de suas f´ormulas v´alidas ´e compacto. Na topologia, um conjunto A ´e compacto, caso qualquer cobertura de A por abertos admita uma subcobertura finita. Neste trabalho, mostramos uma maneira de relacionar tais no¸c˜oes de compacidade.
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In this work we present a didactic proposal of the use of movies and videos for the Physics teaching directed to the Basic Education and we bring a discussion about how the materials addresses this topic. For this, we selected three cinematographic works, one chapter of the TV show and videos found in the web and we analyse the physics concepts found particularly about the issue electromagnetism. We developed the activity denominated Cine - Física in a public school from Rio Claro - SP, through presentations of these movies, shows and videos. Those works were exhibited in full and then we discussed the concepts involved in these movies. With the perform of this didactic proposal we verified that is possible insert the use of movies and videos in the classroom activities, and go beyond the entertainment or using those materials as supplements of classes. Dialoguing with students was possible to realize that they visualize the effects and physical concepts in a different way than other that used to be shown in the blackboard through formulas, providing positive effects to the learning of Physics
Aprendizagem na contemporaneidade: jogos digitais no novo cenário em que caminha o ensino de química
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Having in sight the current inertia found on the school physical environments as well as on the High School learning methods used, digital games appear as a different tool to build the individuals'/students' knowledge and becomes a driving factor for this research. The usage of this media resource tries to rescue a stimulant type of learning focused on the students' experiences while getting them closer to Science, Technology and Society (STS). The usefulness of this method falls short, however, without the capacitated guidance of a teacher. A literature review has been made about the possible schooling that electronic/digital games provide; it also brings the opinions of students and teachers to help comprehend how the insertion of this new tool in the classroom happens, as well as its efficiency and acceptance. Having in sight the relationship between individuals and the preoccupations about the future of mankind, components of humanity's destiny have been evidenced in the teaching of Chemistry. It is possible to conclude that these games can, indeed, help in the teaching process, although it is necessary that they develop a main didactic role, linked to the teaching of concepts and content, or else become only educational for that matter. Using the tools given by digital games it is possible, for example, through playfulness, to teach the theory of many abstract models, mathematical equations and chemical formulas, making it possible then to grab the students' attention, to thrill them and to develop their participation based on the experience they so often already have with cell phones and personal computers
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Pós-graduação em Física - IFT
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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O principal objetivo desse trabalho é investigar a influência dos parâmetros térmicos velocidade de solidificação (VL) e taxa de resfriamento (TR), nos espaçamentos dendríticos primários (λ1) da liga hipoeutética Al-7%Si, durante a solidificação direcional horizontal, em regime transiente. Os valores de λ1 foram medidos ao longo do comprimento do lingote e correlacionados com esses parâmetros. A variação dos espaçamentos dendríticos estudados é expressa por meio de funções na forma de potência de VLe TRdadas, respectivamente, por λ1= 55(VL)-1.1e λ1= 212 (TR)-0.55. Um estudo comparativo é realizado entre os resultados encontrados nesse trabalho e aqueles obtidos para a mesma liga quando solidificada direcionalmente nos sistemas verticais ascendente e descendente, sob as mesmas condições assumidas. Finalmente, os resultados experimentais obtidos são comparados com valores fornecidos por alguns modelos teóricos propostos na literatura para analisar espaçamentos dendríticos primários.
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In this action research study of 55 sophomore and junior students in my Algebra II/Trigonometry classrooms, I investigated a reading strategy of learning mathematics. Students were given background information about reading and explored the benefits of reading for themselves. Next, students were taught to read their textbook, analyzing one section of the textbook at a time. Throughout the research project, students were given reading guides to fill out during class with whole class discussion following the reading time. I discovered that students are able to read a mathematics textbook with understanding and students who are gone for activities can learn independently. Teacher observations, student surveys, and student interviews provide quantitative evidence of increased student understanding and achievement. As a result of this research, I plan to continue utilizing the reading guides and incorporating reading as a method of learning mathematics within my classrooms.
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Spreadsheets are widely used but often contain faults. Thus, in prior work we presented a data-flow testing methodology for use with spreadsheets, which studies have shown can be used cost-effectively by end-user programmers. To date, however, the methodology has been investigated across a limited set of spreadsheet language features. Commercial spreadsheet environments are multiparadigm languages, utilizing features not accommodated by our prior approaches. In addition, most spreadsheets contain large numbers of replicated formulas that severely limit the efficiency of data-flow testing approaches. We show how to handle these two issues with a new data-flow adequacy criterion and automated detection of areas of replicated formulas, and report results of a controlled experiment investigating the feasibility of our approach.
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With the “social turn” of language in the past decade within English studies, ethnographic and teacher research methods increasingly have acquired legitimacy as a means of studying student literacy. And with this legitimacy, graduate students specializing in literacy and composition studies increasingly are being encouraged to use ethnographic and teacher research methods to study student literacy within classrooms. Yet few of the narratives produced from these studies discuss the problems that frequently arise when participant observers enter the classroom. Recently, some researchers have begun to interrogate the extent to which ethnographic and teacher research methods are able to construct and disseminate knowledge in empowering ways (Anderson & Irvine, 1993; Bishop, 1993; Fine, 1994; Fleischer. 1994; McLaren, 1992). While ethnographic and teacher research methods have oftentimes been touted as being more democratic and nonhierarchical than quantitative methods—-which oftentimes erase individuals lived experiences with numbers and statistical formulas—-researchers are just beginning to probe the ways that ethnographic and teacher research models can also be silencing, unreflective, and oppressive. Those who have begun to question the ethics of conducting, writing about, and disseminating knowledge in education have coined the term “critical” research, a rather vague and loose term that proposes a position of reflexivity and self-critique for all research methods, not just ethnography or teacher research. Drawing upon theories of feminist consciousness-raising, liberatory praxis, and community-action research, theories of critical research aim to involve researchers and participants in a highly participatory framework for constructing knowledge, an inquiry that seeks to question, disrupt, or intervene in the conditions under study for some socially transformative end. While critical research methods are always contingent upon the context being studied, in general they are undergirded by principles of non-hierarchical relations, participatory collaboration, problem-posing, dialogic inquiry, and multiple and multi-voiced interpretations. In distinguishing between critical and traditional ethnographic processes, for instance, Peter McLaren says that critical ethnography asks questions such as “[u]nder what conditions and to what ends do we. as educational researchers, enter into relations of cooperation. mutuality, and reciprocity with those who we research?” (p. 78) and “what social effects do you want your evaluations and understandings to have?” (p. 83). In»the same vein, Michelle Fine suggests that critical researchers must move beyond notions of the etic/emic dichotomy of researcher positionality in order to “probe how we are in relation with the contexts we study and with our informants, understanding that we are all multiple in those relations” (p. 72). Researchers in composition and literacy stud¬ies who endorse critical research methods, then, aim to enact some sort of positive transformative change in keeping with the needs and interests of the participants with whom they work.