19 resultados para Trigonometry Formulas
em Universidade Federal do Rio Grande do Norte(UFRN)
Resumo:
Neste trabalho objetivou-se verificar, teoricamente , a possibilidade de manutenção de heterozigotos, em populações de plantas autógamas, na presença e na ausência de seleção dependente de frequência (SDF). Considerou-se apenas um loco com dois alelos. Utilizou-se a dedução algébrica de formulas referentes a alguns modelos de populações e um programa para simular a sucessão das gerações em uma calculadora científica avançada. Comparou-se os resultados do modelo com os dados obtidos experimentalmente por Allard e Workman (1963) e por Harding, Allard e Smeltzer (1966). Os coeficientes de determinação foram 0,9653 e 0,9166 para a primeira e a segunda comparação, respectivamente. Estes coeficientes indicam que o modelo D representa de modo bastante fidedigno as variações observadas em populações experimentais de plantas predominantemente autógamas
Resumo:
The ceramics industry in Piauí is nowadays with 55 industries where 11 are in Teresina which is the mainstream of the state, producing 55 million shingles; in which 10 % is of this production is wasted being sometimes thrown on the margins of rivers, roads and highways provoking an environmental degradation. The main goal of this work is to verify the potential of producing semi porous ceramic using grog of shingles, on the first part of this work bodies-of-proof were produced from a basic formula of an industry, doping it with 5 %, 10 %, 15 % and 20 % in mass and in the second part of this work some bodies-of-proof were produced from a formula where one raw material was substituted by 50 % of grog and another substituting it all by grog, bodies-of-proof made of a basic formula previously announced was used for experiment control.The grog and the raw materials were characterized by: particle size analysis , thermal differential analysis, X ray diffraction , X ray fluorescence, an thermal gravimetric analysis and rational analyses. The bodies-of-proof were sintetisized in an industrial oven obeying the normal cycle adopted by an industry, with peak temperatures of 1135 oC and a fast burning cycle of 25 minutes having as energetic fuel liquefied petroleum gas . The pieces that were obtained by this were submersed in rehearsed physics of: water absorption of, apparent specific mass, apparent porosity, lineal retraction, rupture tension to the flexural and dilatometry; mineralogical analysis for X ray diffraction; and microstructural for electronic microscope of sweeping. For all the formulas with addition of grog, superior priorities to the requested by the requirements for semi porous and for the formula to F2-2,5 superior priorities to standard formulas which justifies the incorporation of the shingles in mass for the semi porous ceramic
Resumo:
The work that follows has as its main objective the analysis of the discourse of media, with emphasis on newspapers printed on acts and events involving young offenders. The speech adopted by columnists of newspapers, based on formulas and journalistic practices exist, allows the reader a view of what happened in detail. But this wealth of information, contradictorily, it seems not permit, much less to encourage reflection on the what is being read. All information contained in narrative journalism seem to point to the establishment of maintenance of speech reinante of violence and repression against young offenders, from, and generally in the vast majority of cases, from poor neighborhoods and suburbs of large cities. The whole range of such important issues directly related to violence committed by these young people does not appear, does not appear in the text journalism. Words such as "marginal", "square" reinforce prejudices, stigmas against the youth, putting the company on constant alert against such "criminals", "malandros." The result of the survey was partial, but can conclude about the importance of the media against those social phenomena that amedrontam the society at present
Resumo:
Notable mathematics teacher, Lewis Carroll, pseudonym of Charles Lutwidge Dodgson (1832-1898), made the mixture of mathematics with literature a ludic environment for learning that discipline. Author of Alice s Adventures In Wonderland and its sequel Alice Through The Looking Glass, he eventually created a real and complex universe which uses what we call the logic of the nonsense as an element to motivate the development of mathematical thinking of the reader, taking it as well, learn by establishing a link between the concrete (mathematics) and the imaginary (their universe). In order to investigate and discuss the educational potential of their works and state some elements that can contribute to a decentralized math education from the traditional method of following the models and decorate formulas, we visited his works based on the studies of archeology of knowledge (FOUCAULT, 2007), the rational thought and symbolic thinking (VERGANI, 2003) and about the importance of stories and narratives to the development of human cognition (FARIAS, 2006). Through a descriptive, analytical study, we used the literary construction and presented part of our study in form of a mathematical novel, to give the mathematical school a particular charm, without depriving it of its basics properties as discipline and content. Our study showed how the works of Carroll have a strong didactic element that can deploy in various activities of study and teaching for mathematics classes
Resumo:
Trigonometry, branch of mathematics related to the study of triangles, developed from practical needs, especially relating to astronomy, Surveying and Navigation. Johann Müller, the Regiomontanus (1436-1476) mathematician and astronomer of the fifteenth century played an important role in the development of this science. His work titled De Triangulis Omnimodis Libri Quinque written around 1464, and published posthumously in 1533, presents the first systematic exposure of European plane and spherical trigonometry, a treatment independent of astronomy. In this study we present a description, translation and analysis of some aspects of this important work in the history of trigonometry. Therefore, the translation was performed using a version of the book Regiomontanus on Triangles of Barnabas Hughes, 1967. In it you will find the original work in Latin and an English translation. For this study, we use for most of our translation in Portuguese, the English version, but some doubt utterance, statement and figures were made by the original Latin. In this work, we can see that trigonometry is considered as a branch of mathematics which is subordinated to geometry, that is, toward the study of triangles. Regiomontanus provides a large number of theorems as the original trigonometric formula for the area of a triangle. Use algebra to solve geometric problems and mainly shows the first practical theorem for the law of cosines in spherical trigonometry. Thus, this study shows some of the development of the trigonometry in the fifteenth century, especially with regard to concepts such as sine and cosine (sine reverse), the work discussed above, is of paramount importance for the research in the history of mathematics more specifically in the area of historical analysis and critique of literary sources or studying the work of a particular mathematician
Resumo:
The objective of the present work was develop a study about the writing and the algebraic manipulation of symbolical expressions for perimeter and area of some convex polygons, approaching the properties of the operations and equality, extending to the obtaining of the formulas of length and area of the circle, this one starting on the formula of the perimeter and area of the regular hexagon. To do so, a module with teaching activities was elaborated based on constructive teaching. The study consisted of a methodological intervention, done by the researcher, and had as subjects students of the 8th grade of the State School Desembargador Floriano Cavalcanti, located on the city of Natal, Rio Grande do Norte. The methodological intervention was done in three stages: applying of a initial diagnostic evaluation, developing of the teaching module, and applying of the final evaluation based on the Mathematics teaching using Constructivist references. The data collected in the evaluations was presented as descriptive statistics. The results of the final diagnostic evaluation were analyzed in the qualitative point of view, using the criteria established by Richard Skemp s second theory about the comprehension of mathematical concepts. The general results about the data from the evaluations and the applying of the teaching module showed a qualitative difference in the learning of the students who participated of the intervention
Resumo:
This study analyses the difficulties that teachers of high school face in the process of the teaching of trigonometry through activities in a construtivist focus. It contains a review of some publications and dissertations related with the study of trigonometry elaborated in the last years by several authors. It resorts to the study of teaching engineering as an instrument used in the research. It also presents a set of activities which will serve as sample to other teachers of mathematics; and points ways for the overcome of the difficulties found
Resumo:
This study has as its aim the elaboration, presentation and application of a proposal which makes possible an inter-disciplinary relationship between knowledge of physics and geography in the graduation course for forming geography teachers in the Dom Aureliano Matos Faculty of Philosophy in the city of Limoeiro do Norte in the State of Ceára. Initially, we observe in pertinent literature and opinions of specialists what capacities and abilities are suggested for a future teacher of geography. Following that, we select subject matter which broaches upon physic concepts and may be contextualized within topics present in the daily fare of a geography teacher, such as natural phenomena related principally to natural environment and climate, envolving astronomic features, using didactic materials and resources in easily understood language and without the excessive presence of mathematical formulas. An evaluation of the experience allows us to affirm that inter-disciplinary treatment, as an important alternative for curriculam organization, when applied in the classroom shows that there is better learning, a reduction in class evasion and a significant fall in failures when compared with traditional proposals for the teaching of physics in relation to geography. On the other hand, it is notable that to maintain and augment such measures it is a challenge to be met, with the purpose that students of other courses may perceive that physic concepts have much to do with their reality, and that understanding them is relevant for their professional and personal formation
Resumo:
The present study aims to analyze the potentialities and limitations of GeoGebra software on what concerns trigonometry s teaching and learning processes. Taking the present resources of public school from the state of Rio Grande do Norte, the research intends to answer the following question: Could we use the current conditions of public school and the Geogebra software to optimize the trigonometry s learning and teaching processes situation? . To make it a possible to answer the question above, a module of investigative activities was created and applied. The methodological intervention was made among second year High School students from a public school in Natal, RN. The theoretical reference of Mathematics Didactics was taken was a base, adopting the conceptions of Borba and Penteado (2001), Valente (1999) and Zulatto (2002, 2007) about the use of Information Technology (IT) on Mathematics classrooms. In order to create the investigative activities helped us to understand how the students make their constructions and their visual perception through the process of dragging images on the computer screen. Furthermore, the activities done with the GeoGebra software s resources facilitate the resolution of trigonometry situations
Resumo:
The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree
Resumo:
This study is qualitative, including literature search and preparation of teaching materials. Your goal is to report the study of geometric problems of character presented in the application of trigonometry and work on the preparation of detailed activities that help in overcoming these difficulties. For this, we read some papers on teaching and learning of trigonometry in order to identify the difficulties encountered during their journey. Then separate the geometric difficulties of character and prepare a list of geometric content and procedures associated with them. Thus, we can organize a notebook with activities that would address most of these concepts. Finally we present the specification of activities called Activity on introductory concepts to the study of trigonometry
Resumo:
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Resumo:
This study incorporates many areas of knowledge to the Linguistics field, as it centers the social historicity of Brazilian and autos potiguares on two analytical proposes: the presence of linguistic formulas - in its macrostructure - into the paradigm of discursive traditions, following Kabatek (2006), Koch and Oesterreicher (2007), besides the theory of Speech Acts, in its microstructure, proposed by Austin (1990) and Searle (1995). Under Zumthor (1993; 1997; 2000; 2005; 2010), the idea of textual variability (mouvance) was alluded, highlighting that the text is always modifying, according to the performance and reception of the language uses. Considering this theoretical framework, we focus on the trinomial linguistic formulas, orality and performance, in order to describe the dynamics of stability, variation and change, emphasizing yet how extra-linguistic social-historic cultural relations influence its composition. Such discuss is inherent more precisely to Textual Analysis in enhancing the orality tradition as a linguistic support. The text, in its turn, becomes effective as an evocation, motivated by the transmission, reception and variability from its conservation and reiteration. Naturally, a methodological support based on quali-quantitative research was chosen, based on Flick (2009), who justifies the corpus composed by Brazilian Folias de Reis chants and Bois de Reis potiguares . Thereby Language dynamics, subjacent to tradition which takes effect by the use of a common social memory, are observed from two dimensions: on the first, it evocates the sacralization (religious) in which they stand their devotion to biblical History; secondly, a dissacralization with identified and ideological values, inherent to a people culture. The chant shows, in this ludic impulse, a contextualized activity which results in the following conclusion: the changing and stability processes in textual macro and microstructures occur, at the same time, by the adjustment to the use of the text accomplishing a social-political function and an ethical-pedagogic one; supposedly, social relationships arise the tradition and it, on its turn, evocates the variability and the nomadism in the text
Resumo:
This work aims to present the foundations of Kantian ethics concerning to moral judgments about sexual practices. It shows that the sexual act, for the philosopher, inevitably degrades individuals who are taking part of it, given its objectifying nature, manifested in the usage of individuals as mere means to obtain pleasure. To solve this quandary of nature since humanity is an end in itself, by the virtue of being bearer of rationality and cannot, therefore, be treated as mere means Kant claims that marriage is morally the appropriate locus for the exercise of sexuality, given the reciprocity forged there, preventing degradation. In marriage, the bond established between the impulse of nature to the conservation of the species achieved through the sexual intercourse opened to procreation and the duty of man in regarding himself as an animal being preserving the species without degrading the person is accomplished in a fully moral way. This text clarifies that the justification for the assumption of this solution is fixed at two developments of the categorical imperative: the formulas of the law of nature and humanity. Despite the fact the first brings significant contributions to human relations through the concept of reciprocity, the second establishes a normative role for the teleological argument of sexuality, becoming an obstacle in kantian's practical philosophy. To overcome that obstacle, we outline a critics which relies on the studies of Michel Foucault about sex and the power techniques related to them, producer of a scientia sexualis in the Western, demonstrating that the moral of the philosopher from Königsberg is also present in this project somehow. Finally, in a foucaultian's reading of kantian Aufklärung, we recognize that, to propose new ethical possibilities of the experience of sexuality, it is necessary to think and create new relational spaces in which the subject takes autonomously the government of self.
Resumo:
Understood in a project of transvaluation of values, the joy is one of the central themes of the thought of Friedrich Nietzsche and Clément Rosset. Opposed to the dogmatic philosophy that moralize and robs your strength to think of it as "happiness", evaluated, in short, a target linked to virtue and rationality these thinkers propose a perspective that makes the joy of point to an instance extraterrestrial and back to the earth, to the body. In this vein, beyond the oppositions of values constitutive of metaphysics dogmatic, the joy and suffering are conceived as elements that are not mutually exclusive, they are complementary as foundations of a gaia(ta) science, based in laughter and friendship. Contents of a tragic wisdom that leads to an unconditional fidelity to the real (expressed in formulas of amor fati Nietzsche and unrestricted approval of existence Rosset), the joy is then interview as vital impulse, the force majeure, the strength plastic encourages artistic creation: the joy of children playing