Research in Logotherapy substantiates the influence of meaning on psychological health and Psychoneuroimmunology (PNI) corroborates the effects of psychological health on physical health. This dissertation explores the relationship between meaning and physical health hypothesising that purpose affects physical health. Methodology Exploratory factor analysis (EFA), ANOVAs and stepwise regression were used to explore three possible models. Results EFA revealed four factors, purpose, fear, vitality and aggression. Significant correlations were found between purpose, vitality (0.42) and work application (0.53). Despite the significant relationship between purpose and vitality, the lack of Chi-square is significant, suggesting that additional variables should be introduced into the model. Conclusion People reporting high levels of purpose together with low levels of fear and aggression, can be characterised by high vitality and an absence of medical conditions. Future research should focus on evaluating meaning centred interventions on immunity and vitality. / Psychology / M.A. (Psychology)

Made available in DSpace on 2016-04-27T16:57:22Z (GMT). No. of bitstreams: 1 Marcelo Tadeu dos Santos.pdf: 6175692 bytes, checksum: db223d86b957f15bd34eb790d06ed8ee (MD5) Previous issue date: 2013-02-20 / Secretaria da Educação do Estado de São Paulo / This research describes a qualitative research. The theme is based on model theory of geometric thought the couple's van Hiele and assumptions relating to the use of technology-mediated instructional strategies for learning geometry. The proposal aims to enable students of the ninth year of elementary school reinforce preconceptions and build new concepts on the topic similarity of triangles. For this, we used the dynamic geometry software GeoGebra. The study included the following steps: the first was the definition of a group of studies and discussions, by lottery among the student volunteers searched the series, the second step was the presentation of tokens students exercise on the theme of Likeness triangles whose solution involved only the use of manipulatives (ruler, compass, etc.). Finally, it was proposed to solve the same exercises using the set of concepts, and previous acquired through the application of the same dynamic geometry software GeoGebra. The study to suggest that the intervention of dynamic geometry can help students overcome various problems encountered and understanding and appropriation of concepts and autonomy to tread their own paths may be favored by the proposal of group work / Esta pesquisa descreve uma investigação de caráter qualitativo. O tema está fundamentado na teoria do modelo do pensamento geométrico do casal van Hiele e pressupostos relativos ao emprego de estratégias pedagógicas mediadas por tecnologias para a aprendizagem de geometria. A proposta visa possibilitar aos alunos do nono ano do ensino fundamental reforçar conceitos prévios e construir novos conceitos sobre o tema Semelhança de Triângulos. Para isso, utilizou-se o software de geometria dinâmica GeoGebra. O estudo abrangeu as seguintes etapas; a primeira foi a definição de um grupo de discussões e estudos, através de sorteio, entre os alunos voluntários da série pesquisada; a segunda etapa foi a apresentação, aos alunos de fichas de exercícios sobre o tema Semelhança de Triângulos cuja resolução envolvia apenas a utilização de materiais manipuláveis(régua, compasso, etc.). Por fim, foi proposta a resolução dos mesmos exercícios com a utilização do conjunto de conceitos, prévios e adquiridos, através da aplicação dos mesmos no software de geometria dinâmica GeoGebra. O estudo permite considerar que a intervenção da geometria dinâmica pode auxiliar os estudantes a superar vários problemas encontrados e a compreensão e apropriação dos conceitos e a autonomia para trilhar caminhos próprios poderão ser favorecidos pela proposta do trabalho em grupo

The purpose of the present study is to identify 10th grade students&rsquo / use of proof schemes in geometry questions and to investigate the differences in the use of proof schemes with respect to their cognitive style and gender. The sample of the study was 224 tenth grade students from four secondary schools. Of those, 126 participants were female and 98 participants were males. Data was collected at the end of the academic year 2005-2006 through uses of two data collection instruments: Geometry Proof Test (GPT) and Group Embedded Figure Test (GEFT). GPT, included eleven open-ended questions on triangle concept, was developed by researcher to investigate students&rsquo / use of proof schemes. The proof schemes reported by Harel and Sowder (1998) were used as a framework while categorizing the students&rsquo / responses. GEFT developed by Witkin, Oltman, Raskin and Karp (1971) was used to determine cognitive styles of the students as field dependent (FD), field independent (FI) and field mix (FM). To analyze data, descriptive analyses, repeated measure ANOVA with three proof schemes use scores as the dependent variables and a 2 (gender) x 3 (cognitive styles: FD, FM, FI) multivariate analysis of variance (MANOVA) with three proof schemes use scores as the dependent variables was employed. The results revealed that students used externally based proof schemes and empirical proof schemes significantly more than analytical proof schemes. Furthermore, females used empirical proof schemes significantly more than the males. Moreover, field dependent students used externally based proof schemes in GPT significantly more than field independent students. Also, field independent students use analytical proof schemes significantly more than field dependent mix students. There was no significant interaction between gender and cognitive style in the use of proof schemes. The significant differences in students&rsquo / use of proof schemes with respect to their gender and FDI cognitive style connote that gender and FDI cognitive styles are important individual differences and should be taken into consideration as instructional variables, while teaching and engaging in proof in geometry and in mathematics.

Η τόσο συχνή εμφάνιση της ακολουθίας Fibonacci στη φύση καθώς και ο συσχετισμός της με πλείστους τομείς της μαθηματικής επιστήμης έδωσε αφορμή να ενταθεί η έρευνα στην περιοχή αυτή. Και τούτο ιδιαίτερα τις τελευταίες δύο δεκαετίες. Τα πολυώνυμα Fibonacci k-τάξης αποτελούν μία από τις ευρύτερες γενικεύσεις της ακολουθίας Fibonacci. Η μελέτη των πολυωνύμων αυτών και η σύνδεσή τους με την πιθανότητα είναι το κύριο αντικείμενο της διατριβής αυτής. Η κατανομή πιθανότητας της τ. μ. Χk, όπου Xk το πλήθος των επαναλήψεων σε ένα πείραμα δοκιμών Bernoulli ώσπου να προκύψουν k διαδοχικές επιτυχίες, έχει ονομασθεί "κατανομή πιθανότητας Fibonacci". Η σχέση της κατανομής Fibonacci με τα πολυώνυμα Fibonacci οδήγησε στις γενικευμένες κατανομές πιθανότητας που αποτέλεσε το δεύτερο άξονα της μελέτης αυτής. / The fact that Fibonacci sequences appear so frequently in nature together with their interrelationship with almost any branch of mathematics, has resulted in an intesive research in this area particularly during the last two decades. One of the most wide extensions of the Fibonacci sequence is provided by the Fibonacci polynomials of order k. The study of these polynomials and thier relation with probability is the main part of this dissertation. The probability distribution of the r.v. Xk, where Xk denotes the number of trials until the occurrence of the kth consecutive success in indipendent trials, thas been called "Fibonacci Probability Distribution". The relation between the Fibonacci Distribution and the Fibonacci polynomials led to generalized probability distributions (Geometric, Negative binomial, Poisson and Compound poisson) which consists the second major part of this study.

Research in Logotherapy substantiates the influence of meaning on psychological health and Psychoneuroimmunology (PNI) corroborates the effects of psychological health on physical health. This dissertation explores the relationship between meaning and physical health hypothesising that purpose affects physical health. Methodology Exploratory factor analysis (EFA), ANOVAs and stepwise regression were used to explore three possible models. Results EFA revealed four factors, purpose, fear, vitality and aggression. Significant correlations were found between purpose, vitality (0.42) and work application (0.53). Despite the significant relationship between purpose and vitality, the lack of Chi-square is significant, suggesting that additional variables should be introduced into the model. Conclusion People reporting high levels of purpose together with low levels of fear and aggression, can be characterised by high vitality and an absence of medical conditions. Future research should focus on evaluating meaning centred interventions on immunity and vitality. / Psychology / M.A. (Psychology)

Made available in DSpace on 2016-06-02T20:29:21Z (GMT). No. of bitstreams: 1 5039.pdf: 1656112 bytes, checksum: cefb288f9af3da8df733464289c391d8 (MD5) Previous issue date: 2013-03-23 / One of the important consequences of trigonometry is the ratio that exists between sides of similar triangles. Such reason appears frequently in many everyday problems and can be quite explored in the classroom. The aim of this study was to explore the trigonometric ratio in the right triangle. The working hypothesis was that the ratios between sides are constant. So the approach was carried out in two ways: one using ruler and protractor and the other with the free software of dynamic geometry called Geogebra. The proposed activities were implemented in a classroom of the 3rd year of high school in the city of Franca, São Paulo State and the Didactic Engineering was used as a research methodology. In both steps of the implementation of the project the expected results have been achieved successfully, however, in the second stage, the use of the software was a motivator of the activity, not only facilitating the visualization of buildings, but also providing the exact value of the reason. Throughout the project implementation a number of other themes could be explored, such as the metric system and the error in the approximations. The use of information technology in the classroom contributed so that classes would be more dynamic and the students more motivated. It is hoped that the material presented here may be useful for other teachers employ in their classes or tailor it to other contents. It is expected that this work will stimulate other teachers to use the technological resources as tools to support teaching. / Uma das consequências importantes da trigonometria é a razão existente entre os lados de triângulos semelhantes. Tal razão aparece com frequência em muitos problemas do cotidiano e podem ser bastante explorados em sala de aula. O objetivo deste trabalho foi explorar as razões trigonométricas no triângulo retângulo. A hipótese de trabalho foi a constatação de que as razões entre os lados são constantes. Para tanto a abordagem foi efetuada de duas maneiras: uma com o auxílio de régua e transferidor e a outra com o software livre de geometria dinâmica chamado Geogebra. As atividades propostas foram aplicadas em uma sala do 3º ano do Ensino Médio na cidade de Franca, interior de São Paulo e a Engenharia Didática foi utilizada como metodologia de investigação. Em ambas as etapas da aplicação do projeto os resultados esperados foram alcançados com sucesso, porém, na segunda etapa, o uso do software foi um agente motivador da atividade, pois além de facilitar a visualização das construções, proporcionou a obtenção do valor exato da razão. Ao longo da aplicação do projeto diversos outros temas puderam ser explorados, tais como o sistema métrico e o erro nas aproximações. O uso da informática em sala de aula contribuiu para que as aulas ficassem mais dinâmicas e os alunos mais motivados. Espera-se que o material aqui apresentado possa ser útil para outros professores empregarem em suas aulas ou ainda adequá-lo a outros conteúdos. Espera-se também que este trabalho estimule outros docentes a usarem os recursos tecnológicos como ferramentas de apoio ao ensino.

Work includes choosen properties and problems pair with Heronian triangles. It's available like mathematical utility for work in special-interest mathematics on secondary school.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This study aims to understand the importance of mathematical investigations in the study of similar triangles and their applications. Considering the importance of research activities for teaching and learning, this paper presents some de nitions , aspects and considerations of this teaching methodology . We speak also of the teacher's role and possible obstacles in carrying out investigative tasks. To this end, data was collected through the implementation of three investigative activities in a class of 9th grade of elementary school of a college of the state of Sergipe. The results show that the inclusion of research activities in the classroom everyday , at any level of education , indicates a better learning of the content studied. / Este trabalho tem como objetivo compreender a import^ancia das investiga c~oes matem aticas no estudo da semelhan ca de tri^angulos e suas aplica c~oes. Levando em considera c~ao a import^ ancia das atividades investigativas para o ensino e a aprendizagem, este trabalho apresenta algumas de ni c~oes, aspectos e considera c~oes acerca desta metodologia de ensino. Falamos, tamb em, do papel do professor e dos poss veis obst aculos na realiza c~ao das tarefas investigativas. Para tanto, os dados foram coletados por meio da realiza c~ao de tr^es atividades investigativas em uma turma do 9 ano do Ensino Fundamental de um col egio da rede estadual de Sergipe. Os resultados apontam que a inser c~ao de atividades investigativas no cotidiano de sala de aula, em qualquer n vel de ensino, indica um melhor aprendizado do conte udo estudado.

Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2016-06-02T18:51:04Z No. of bitstreams: 2 Dissertação - Manoel Bernardes de Jesus- 2016.pdf: 8498646 bytes, checksum: df9ec5bab5a7bc205f3b14b7ac2d5b70 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-06-03T12:08:15Z (GMT) No. of bitstreams: 2 Dissertação - Manoel Bernardes de Jesus- 2016.pdf: 8498646 bytes, checksum: df9ec5bab5a7bc205f3b14b7ac2d5b70 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5) / Made available in DSpace on 2016-06-03T12:08:15Z (GMT). No. of bitstreams: 2 Dissertação - Manoel Bernardes de Jesus- 2016.pdf: 8498646 bytes, checksum: df9ec5bab5a7bc205f3b14b7ac2d5b70 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5) Previous issue date: 2016-03-31 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The aim of this paper is to present a study about Triangles, to study their concepts and their properties, the relations between their forms, mesures and areas, relation of Triangle with the Trigonometric and the Geometrics Builds. Besides to present Pythagoras’ Theorem with many proof relates to Triangles. / O objetivo deste trabalho é apresentar um estudo sobre Triângulos, seus conceitos e suas propriedades, as relações entre suas formas, medidas e áreas. Além da relação do Triângulo com a Trigonometria e as Construções Geométricas. Apresentamos o Teorema de Pitágoras com várias demonstrações relacionadas aos Triângulos.

With each computer game generation there is always a demand for more visually pleasing environments. This pushes game developers to create more powerful rendering techniques and game artists to create more detailed art. With a visually stunning backdrop also comes the need for high-resolution models. A common issue is that if all models in a scene are high-resolution it would not only require immensely powerful hardware, it would also be wasteful as only the models in the foreground are close enough that we would recognize the increased details. The common solution to this problem has been to load several versions of each model containing varying amounts of detail. However this solution has the drawback that it increases our memory footprints as more models are loaded into the memory. Tessellation offers a more dynamic solution to the problem as it only requires us to load a low-resolution model and higher resolution versions can be generated during run-time on the GPU. With the introduction of DirectX 11 tessellation is now supported in the hardware, however we are still a few years away from seeing DirectX 11 being used as the core of any 3D rendering engine. In a transitional period like this between hardware generations game developers has to tackle the dilemma that the current hardware generation has to be supported when creating games that will also utilize the next generation. This thesis focuses on comparing the performance of a tessellation scheme supported by the current hardware generation, DirectX 10, as opposed to a scheme developed for the next generation, DirectX 11. Two prototypes, one using the Geometry shader that was introduced in DirectX 10 and the other using the fixed function tessellator introduced in DirectX 11, were built to compare the performance of tessellated model rendering. Several different variants of each prototype were tested and the general conclusion is that the tessellator performed better than the Geometry shader.