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You searched for +publisher:"Pontifical Catholic University of Rio de Janeiro" +contributor:("DEBORA FREIRE MONDAINI"). Showing records 1 – 3 of 3 total matches.

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Pontifical Catholic University of Rio de Janeiro

1. LEONARDO DE SOUZA LEITE. [en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE.

Degree: 2016, Pontifical Catholic University of Rio de Janeiro

[pt] O objetivo deste trabalho é apresentar conteúdos necessários para a construção de uma base sólida em Matemática do Ensino Fundamental e Médio, mas que são em geral mal assimilados pelos alunos. Inicialmente apresentaremos o plano cartesiano, equações de uma e duas variáveis, funções de uma variável real e gráfico de funções. Passaremos então ao estudo de curvas simples e bem conhecidas dos alunos em geral, como a circunferência, e chegaremos até as cônicas rotacionadas. A partir daí, procuramos relacionar as duas partes do trabalho, mostrando como as cônicas podem ser vistas como gráficos de função de uma variável. Pretende-se que este trabalho possa ser utilizado por professores do Ensino Fundamental e Médio em sala de aula, pois boa parte do conteúdo apresentado faz parte do currículo mínimo da Secretaria de Educação do Estado do Rio de Janeiro. Propomos atividades teóricas e computacionais, utilizando o software Geogebra para construção de curvas no plano cartesiano.

[en] The objective of this paper is to present content needed to build a solid foundation in mathematics from primary and secondary schools, but are generally poorly assimilated by the students. Initially present the Cartesian plane, equations of one and two variables, functions of a real variable and function graph. Then we pass to the study of simple curves and well known to students in general, as the circumference, and arrive until the conical rotated. From there, we try to relate the two parts of the work, showing how the taper can be seen as a variable function graphs. It is intended that this work can be used by teachers of primary and secondary education in the classroom, because much of the content presented is part of the minimum curriculum of the Department of Education of the State of Rio de Janeiro. We propose theoretical and computational activities, using the Geogebra software to build curves in the Cartesian plane.

Advisors/Committee Members: DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI.

Subjects/Keywords: [pt] ALGEBRA LINEAR; [en] LINEAR ALGEBRA; [pt] ENSINO DE MATEMATICA; [en] TEACHING OF MATHEMATICS; [pt] GEOMETRIA ANALITICA; [pt] CONICAS; [en] CONICS; [pt] FUNCAO DE UMA VARIAVEL

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

LEITE, L. D. S. (2016). [en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26149

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

LEITE, LEONARDO DE SOUZA. “[en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE.” 2016. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed December 14, 2019. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26149.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

LEITE, LEONARDO DE SOUZA. “[en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE.” 2016. Web. 14 Dec 2019.

Vancouver:

LEITE LDS. [en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2016. [cited 2019 Dec 14]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26149.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

LEITE LDS. [en] CONICS AND GRAPHS OF FUNCTIONS OF ONE VARIABLE. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2016. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26149

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Pontifical Catholic University of Rio de Janeiro

2. SILVIO BARROS PEREIRA. [en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION.

Degree: 2015, Pontifical Catholic University of Rio de Janeiro

[pt] O objetivo deste trabalho é aplicar a Teoria dos Jogos como elemento motivador no ensino da Matemática em turmas da terceira série do ensino médio de uma escola estadual da cidade do Rio de Janeiro, que apresentam com grande frequência dificuldades no aprendizado desta disciplina. Construímos então uma sequência didática a ser realizada em sala de aula: apresentação de breve histórico da teoria, realização do jogo Dilema do Prisioneiro e posterior explicação sobre os resultados previstos pela teoria para este jogo, introduzindo os conceitos de matriz de ganhos e estratégia dominante. Em seguida foi aplicado um teste simples de auto-avaliação, para fixação dos tópicos apresentados anteriormente. Assumindo então que neste momento os alunos estão familiarizados com os conceitos mais simples da Teoria dos Jogos, realizamos em sala de aula o jogo Barganha com Ultimato, para posterior comparação de resultados com aqueles obtidos por Bianchi, Carter e Irons e Castro e Ribeiro.

[en] The objective of this study is to apply Game Theory as a motivating element in the teaching of mathematics in those classes in the 3rd series of secondary education in the state schools of the city of Rio de Janeiro which have already frequently presented difficulties in learning this discipline. We construct a didactic sequence to be applied in the classroom: presentation of a brief history of the theory; the realisation of the game, the Prisoner s Dilema; and a subsequent explanation of the results predicted by Game Theory for this game, introducing the concepts of the result matrix and the dominant strategy. We then apply a simple self-assessment test in order to consolidate these topics. Once the students are familiarised with the basic concepts of Game Theory, we realise the Ultimatum Game in the classroom in order to compare the results with those obtained by Bianchi, Carter e Irons and Castro e Ribeiro.

Advisors/Committee Members: DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI.

Subjects/Keywords: [pt] TEORIA DOS JOGOS; [en] GAME THEORY; [pt] ENSINO DE MATEMATICA; [en] TEACHING OF MATHEMATICS; [pt] SEQUENCIA DIDATICA; [pt] BARGANHA COM ULTIMATO; [en] ULTIMATUM GAME; [pt] DILEMA DO PRISIONEIRO; [en] PRISIONER S DILEMA; [pt] MATRIZ DE GANHOS; [en] PAYOFF MATRIX; [pt] ESTRATEGIA DOMINANTE; [en] DOMINANT STRATEGY

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

PEREIRA, S. B. (2015). [en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24177

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

PEREIRA, SILVIO BARROS. “[en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION.” 2015. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed December 14, 2019. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24177.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

PEREIRA, SILVIO BARROS. “[en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION.” 2015. Web. 14 Dec 2019.

Vancouver:

PEREIRA SB. [en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2015. [cited 2019 Dec 14]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24177.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

PEREIRA SB. [en] INTRODUCTION TO GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2015. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24177

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Pontifical Catholic University of Rio de Janeiro

3. THIAGO OLIVEIRA NASCIMENTO. [en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM.

Degree: 2015, Pontifical Catholic University of Rio de Janeiro

[pt] O objetivo deste trabalho é investigar como os alunos do Ensino Médio da rede pública estadual de ensino do Rio de Janeiro se comportam com a aplicação da Teoria dos Jogos como elemento motivador no ensino da Matemática, uma vez que apresentam, com grande frequência, dificuldades nesta disciplina. Para atingir o objetivo proposto elaboramos uma sequência didática que consistia na realização dos jogos Barganha com Ultimato e Dilema do Prisioneiro em sala de aula, sem qualquer explicação prévia sobre os conceitos básicos da Teoria dos Jogos. Nesta sequência didática, após a realização de cada jogo explicamos os resultados previstos pela teoria, introduzindo os conceitos de matriz de ganhos, estratégia dominante e equilíbrio de Nash, e explicamos o funcionamento do jogo Pôquer Simplificado com seus resultados teóricos. Ao término da aplicação da sequência didática, realizamos um teste de auto-avaliação simples, para que pudéssemos verificar o nível de aprendizado dos alunos envolvidos. Por fim, comparamos os resultados obtidos pelos pares de alunos que participaram do jogo Barganha com Ultimato (realizado quando ainda não possuíam qualquer experiência em Teoria dos Jogos) com aqueles obtidos por Bianchi, Carter e Irons e Castro e Ribeiro.

[en] The objective of this work is to investigate the effect of game theory as a motivator for mathematics education on those second year high school students in the state public schools of Rio de Janeiro who have already shown frequent difficulties with the discipline. In order to achieve the proposed goal, we develop a didactic sequence involving the application in the classroom of the games the Ultimatum Game and the Prisoner s Dilema without any prior introduction to the basic concepts of game theory. After the completion of each game, we explain the results predicted by the theory, introducing the concepts of the payoff matrix, the dominant strategy and the Nash Equilibrium. In addition, we explain the operation of the game of Simplified Poker along which its theoretical results. Upon completion of the application of this didactic sequence, we apply a simple self-evaluation test in order to verify the academic level of the students involved. Finally, we compare the results obtained by the pairs of students who participated in the game the Ultimatum Game (performed when the students still had no experience of Game Theory) with the results obtained by Bianchi, Carter e Irons and Castro e Ribeiro.

Advisors/Committee Members: DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI, DEBORA FREIRE MONDAINI.

Subjects/Keywords: [pt] TEORIA DOS JOGOS; [en] GAME THEORY; [pt] ENSINO DE MATEMATICA; [en] TEACHING OF MATHEMATICS; [pt] SEQUENCIA DIDATICA; [pt] BARGANHA COM ULTIMATO; [en] ULTIMATUM GAME; [pt] DILEMA DO PRISIONEIRO; [en] PRISIONER S DILEMA; [pt] EQUILIBRIO DE NASH; [en] NASH EQUILIBRIUM; [pt] POQUER SIMPLIFICADO; [en] SIMPLIFIED POKER

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

NASCIMENTO, T. O. (2015). [en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

NASCIMENTO, THIAGO OLIVEIRA. “[en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM.” 2015. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed December 14, 2019. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

NASCIMENTO, THIAGO OLIVEIRA. “[en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM.” 2015. Web. 14 Dec 2019.

Vancouver:

NASCIMENTO TO. [en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2015. [cited 2019 Dec 14]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NASCIMENTO TO. [en] GAME THEORY AND MATHEMATICS IN SECONDARY EDUCATION: INTRODUCTION TO NASH EQUILIBRIUM. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2015. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.