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Disertaciones |
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1
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ANTONIO ANDERSON PINHEIRO
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MATHEMATICS THROUGH TACT: USING THE GEOGEBRA AND MONET SOFTWARE IN THE CREATION OF TACTILE
CONTENT FOR TEACHING MATHEMATICS A PEOPLE WITH VISUAL DISABILITIES
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Líder : ERICA BOIZAN BATISTA
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MIEMBROS DE LA BANCA :
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ERICA BOIZAN BATISTA
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FRANCISCA AGLAIZA ROMÃO SEDRIM GONÇALVES
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FRANCISCO PEREIRA CHAVES
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GLAUBER MARCIO SILVEIRA PEREIRA
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Data: 02-jun-2023
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Resumen Espectáculo
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The present work aims to propose and present to the reader, especially to the mathematics teacher, an important pedagogical alternative for teaching the linear function to visually impaired people. The methodology consists of constructing, in high relief, the lecture notes of the subject to be taught by the teacher, including images and graphs, and using the potential of GeoGebra and Monet software. The objective of the proposal is to allow the student to follow what is being taught by the teacher in the classroom. As an educational product of this work, specific lecture notes for the linear function will be created. In addition to presenting the software and the proposal, we will also address inclusive education, visual impairment, and the teaching of mathematics to people with visual impairments throughout the chapters.
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2
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JOSÉ DIÓGENES VIEIRA DA COSTA
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DEVELOPMENT OF ELECTRONIC SPREADSHEETS AUTOMATED
AS A TEACHING RESOURCE FOR THE TEACHING STATISTICS IN HIGH SCHOOL
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Líder : FRANCISCO PEREIRA CHAVES
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MIEMBROS DE LA BANCA :
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FRANCISCO PEREIRA CHAVES
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CLARICE DIAS DE ALBUQUERQUE
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VICENTE HELANO FEITOSA BATISTA SOBRINHO
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RENIVALDO SODRÉ DE SENA
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Data: 09-jun-2023
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Resumen Espectáculo
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With the technological advancements of the past decades, society has undergone profound changes in various sectors, such as communication, leisure, health, work, among others. Education is not immune to this process.Therefore, it is crucial to adapt teaching methodologies to this new reality, accompanying the demands and possibilities provided by technology. In the context of mathematics, various applications are already used as didactic resources. However, it is observed there is little emphasis on the field of statistics. This work aimed to develop automated spreadsheets using the VBA programming language for allow dynamic and interactive exploration of key topics in Statistics covered in high school. The main achievements of this work are four spreadsheets, which cover subjects such as frequency tables, graphs, measures of central tendency and dispersion, entirely based on the Statistics curriculum of the National Common Core Standards and the Reference Matrix of the ENEM (Brazilian National High School Exam). The spreadsheets showcased their functionalities through practical examples of activities that can be conducted in classroom.
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3
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JOSÉ CARLOS DE SÁ
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PREPARATION OF A MASSIVE OPEN ONLINE COURSE (MOOC) TO RESPECT OF TRIGONOMETRY CONCEPTS
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Líder : ERICA BOIZAN BATISTA
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MIEMBROS DE LA BANCA :
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ERICA BOIZAN BATISTA
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LEANDRO DA SILVA TAVARES
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VALDINES LEITE DE SOUSA JUNIOR
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SAMARA COSTA LIMA
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Data: 16-jun-2023
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Resumen Espectáculo
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Mathematics, like all areas of knowledge, often benefits from the use of technological
tools, especially Information and Communication Technology (ICT). With that in mind,
the main objective of this work was to create a short course in the MOOC
format (Massive Open Online Course), focusing on concepts of Trigonometry.
This course format offers participants the opportunity to study interactively and with
complete freedom to organize their study routine. To support the student, handouts,
slides and video lessons were created, allowing the student to study at home or anywhere they wish.
The complete course will be available at https://poca.ufscar.br/.
We believe that this short course can be a useful alternative for students looking
for a way to study, and that it can also serve as support material for Mathematics teachers in their classes.
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4
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DAMIÃO JEFERSON DE ARAÚJO SOUZA
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ANALYTICAL DEMONSTRATIONS IN PLANE GEOMETRY
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Líder : VALDINES LEITE DE SOUSA JUNIOR
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MIEMBROS DE LA BANCA :
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VALDINES LEITE DE SOUSA JUNIOR
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ERICA BOIZAN BATISTA
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LUCAS VIDAL DE MEIRELES
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GLAUBER MARCIO SILVEIRA PEREIRA
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Data: 30-jun-2023
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Resumen Espectáculo
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This work is based entirely on a scientific article with the same title, written by the authors Damião Jeferson de Araújo Souza, Valdinês Leite de Sousa Júnior and Erica Boizan Batista. In it we present an approach for teaching some properties of plane Euclidean geometry, using concepts and properties of analytic geometry. The authors adopt a method known as barycentric coordinates, introduced by the mathematician Möbius in 1827, which allows solving problems and demonstrating theorems of conventional geometry using area concepts, instead of similarity and congruence of triangles, which are commonly used in basic education in Brazil . Some classic theorems are presented, such as the Inner Bisector Theorem and Ceva’s Theorem, both proved using a purely analytical approach. In addition to exemplifying the use of the method, the work also presents solved problems to help students better understand the concepts presented.
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5
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ANÍZIO NORONHA MENEZES NETO
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OPEN MATHEMATICAL LEARNING: Elaboration of an Open Course Massivo Online
– MOOC to contribute to promoting access to learning Exponential and Logarithmic Functions.
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Líder : ERICA BOIZAN BATISTA
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MIEMBROS DE LA BANCA :
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ERICA BOIZAN BATISTA
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STEVE DA SILVA VICENTIM
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VALDINES LEITE DE SOUSA JUNIOR
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GILSON DO NASCIMENTO SILVA
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Data: 14-jul-2023
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Resumen Espectáculo
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This work aims to carry out an exploratory study about the impact of new information and communication technologies on education, especially in Mathematics education. Through bibliographical research, we seek to analyze how Digital Information and Communication Technologies (TDICs) can improve the quality of education, promote equity and democratize access to education through practices such as Distance Education, Virtual Learning Environments, Open Education Online, Open Educational Resources and Massive Open Online Courses (MOOCs). In addition, we have developed a MOOC on Exponential and Logarithmic Functions, aiming to provide a high quality educational tool to promote mathematics learning.
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6
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JOSÉ AILTON MEDEIROS SIEBRA
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PREPARATION OF AN OPEN AND MASSIVE ONLINE COURSE – MOOC INTRODUCTION TO THE STUDY OF THE PARABOL THROUGH
THE FUNCTION QUADRATIC
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Líder : VALDINES LEITE DE SOUSA JUNIOR
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MIEMBROS DE LA BANCA :
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VALDINES LEITE DE SOUSA JUNIOR
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CLARICE DIAS DE ALBUQUERQUE
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ERICA BOIZAN BATISTA
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LEILYANNE SILVA DE MORAIS
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Data: 26-jul-2023
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Resumen Espectáculo
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Access to quality education is still a very distant reality for a large part of
the people around the world. For this very reason, much can be done to
ensure the objectification of this right. Open Education proposes to this,
offering in addition to other instruments, the Open and Massive Online
Courses – MOOC. The present work is the production of a course of this
nature, which has as its theme the Introduction to the Study of the Parable
through the Quadratic Function. The course offers slides, video-lessons
and handouts that will provide the student to appropriate this content that
is studied in Basic Education, is required in competitions, and is also a
prerequisite for the disciplines of Calculus of Higher Education. It will be
available on the site https:/poca.ufscar.br/, and the goal is to give as many
people as possible access and appropriation of this content.
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7
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ANTÔNIO EDMAR RIBEIRO DE QUEIROZ FILHO
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ELECTIVE TIMES FOR TEACHING ANALYTICAL GEOMETRY IN THIRD YEAR CLASSES OF THE NEW HIGH SCHOOL
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Líder : FRANCISCO PEREIRA CHAVES
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MIEMBROS DE LA BANCA :
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FRANCISCO PEREIRA CHAVES
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FRANCISCO DE ASSIS BENJAMIM FILHO
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WANDERLEY DE OLIVEIRA PEREIRA
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Data: 15-ago-2023
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Resumen Espectáculo
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The New High School, whose gradual implementation began between 2022 and 2024, brought with it many improvements and also many challenges. Its arrival impacted all subjects, including Mathematics, to the point that some contents were no longer seen throughout high school, as is the case of Analytical Geometry. Given the importance of Analytical Geometry for mathematical learning and also its undeniable application in various everyday situations and in other disciplines such as Physics, for example, it is of fundamental importance to look for ways to work on this subject. One of the possibilities for this is through Elective Times or Full-Time School Workshops. These spaces, created for students to deepen their knowledge of what is important for their education, are an opportunity to alleviate the problems brought about by the lack of Analytical Geometry in the new format of High School. Therefore, given the problem observed, it was necessary to carry out a more detailed and well-founded study on the functioning of the New High School and, based on this knowledge, look for possible ways to attack this problem involving Analytical Geometry. From the research carried out, it is concluded that there is, in the new High School format, a depreciation around Analytical Geometry, mainly due to the reduction in the workload of the Mathematics discipline, and that this problem can be alleviated with the use of elective classes. This work also exposes the functioning of elective periods, which are a possible way out so that students do not stop studying Analytical Geometry.
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8
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GUILHERME HENRIQUE LIMA SILVA
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TEACHING BASIC MATHEMATICS USING CRYPTOGRAPHY
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Líder : CLARICE DIAS DE ALBUQUERQUE
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MIEMBROS DE LA BANCA :
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CLARICE DIAS DE ALBUQUERQUE
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VALDINES LEITE DE SOUSA JUNIOR
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ANDERSON JOSÉ DE OLIVEIRA
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Data: 21-ago-2023
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Resumen Espectáculo
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Mathematics plays a fundamental role in our daily lives, even though it often goes unnoticed. In recent years, communication through the internet, whether via cell phones, computers, or other devices, has become commonplace. The messages exchanged by users are sent encrypted, ensuring that the content cannot be read if someone tries to intercept the communication. This process is more discreet nowadays. However, this practice has existed for a long time, dating back to the era of kings and queens, many years before Christ. During that time, kings communicated with their distant allies through messages sent by messengers. Those who managed to keep their messages solely between the sender and the recipient, using secret writing, could keep their kingdoms intact even if their messages were intercepted. On the other hand, those who used weak secret writing allowed their enemies to obtain valuable information contained in the messages, which could lead to the ruin of their kingdoms. Mathematics played a crucial role in deciphering these encrypted messages in the past and has become essential in modern cryptography. This work addresses the history of cryptography, with various methods and the use of mathematics to decipher and encrypt messages. The end product is activities that can be used in the classroom to make the application of mathematics more relevant and engaging for students, demonstrating the importance of mathematics in ensuring secure communication.
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9
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NIWLANDES DE FARIAS ARAÚJO
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PRIMALITY TESTS: A COMPLEMENT TO TRAINING TEACHERS AND A TEACHING PROPOSAL FOR EDUCATION BASIC
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Líder : FRANCISCO PEREIRA CHAVES
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MIEMBROS DE LA BANCA :
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FRANCISCO PEREIRA CHAVES
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VALDIR FERREIRA DE PAULA JUNIOR
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JANIELLY GONÇALVES ARAÚJO
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Data: 24-ago-2023
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Resumen Espectáculo
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Mathematics is a science that plays an extremely important role in technological development, given its vast application in various areas. Given its potential contributions, there is a need for continuous exploration, considering the mysteries and peculiarities that persist without a solution and that could lead to new discoveries. Prime numbers, for example, considered by many mathematicians as the "atoms of arithmetic," are still an enigma, concerning the curiosities and mysteries that surround them and still persist to this day. Thus, the present work, which is a bibliographic research, aims to provide basic education teachers with the necessary material for a deeper understanding of prime numbers, with an emphasis on primality criteria. It also presents a teaching proposal for this same stage, through a didactic sequence that meets the specificities of the National Common Curricular Base (BNCC).
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10
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DIÊGO SANTOS DE SOUZA
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DIGITAL PLATFORMS ALLIED TO ACTIVE METHODOLOGIES IN THE PROBABILITY TEACHING
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Líder : CLARICE DIAS DE ALBUQUERQUE
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MIEMBROS DE LA BANCA :
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CLARICE DIAS DE ALBUQUERQUE
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ERICA BOIZAN BATISTA
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VALDIR FERREIRA DE PAULA JUNIOR
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JUSCELANDIA MACHADO VASCONCELOS
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Data: 29-ago-2023
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Resumen Espectáculo
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In this study, we objectively discuss two Active Methodologies applied to probability
teaching, the Flipped Classroom and Game-Based Learning, motivating teachers to
apply them concomitantly with the Traditional Method in their classes. In addition,
we present three didactic sequences with the digital tools Mathematical Multimedia
Wordwall and Kahoot that, combined with the Active Methodologies mentioned
above, can serve as support to stimulate learning and combat student demotivation.
In each sequence, we provide step-by-step instructions on how to access and/or
build each tool, facilitating the practice for the reader. At the end of this work, we
approach the importance of continuing teacher education and the relevance of this
TCC for the teaching community of the state network of Ceará through the Foco
na Aprendizagem initiative with an experience report.
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11
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CLERYSTON DA SILVA SOUSA
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SEMIOTICS IN TEACHING QUADRATIC EQUATIONS AND THE PO-SHEN LOH METHOD
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Líder : VALDIR FERREIRA DE PAULA JUNIOR
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MIEMBROS DE LA BANCA :
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VALDIR FERREIRA DE PAULA JUNIOR
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VALDINES LEITE DE SOUSA JUNIOR
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JOSÉ MARIA BARBOZA
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Data: 30-ago-2023
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Resumen Espectáculo
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The aim of this work is to conduct an in-depth study on quadratic equations, addressing both the traditional methods found in textbooks and the Babylonian methods used to determine the roots of these equations. Initially, we will present the definitions and historical context, followed by the demonstration of resolution methods. Additionally, we will examine the semiotic representations of these equations and the role of the National Common Curriculum Base in teaching this subject. Standing out for its simple and intuitive approach, the Babylonian method, which has been generalized by Professor Po-Shen Loh, is proposed as a pedagogical approach for basic education.
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12
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EDJANE KELLY DA SILVA
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THE HISTORY OF WOMEN MATHEMATICS AS AN INSPIRATION FOR GIRLS IN CEARÁ
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Líder : CLARICE DIAS DE ALBUQUERQUE
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MIEMBROS DE LA BANCA :
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CLARICE DIAS DE ALBUQUERQUE
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ERICA BOIZAN BATISTA
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FRANCISCA AGLAIZA ROMÃO SEDRIM GONÇALVES
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Data: 30-ago-2023
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Resumen Espectáculo
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The female presence in mathematics has historically been marginalized and underrepresented. In this context, this paper presents a historical review of how women have gained access to education, and more precisely to mathematics teaching, highlighting the participation of some mathematics in important scientific contributions. In addition, a survey is made of the main scientific awards in the field of mathematics and of the women who managed to win some of them. Also highlighted are some programs, projects and initiatives that promote participation and female recognition in the field of mathematics in Brazil. The research is based on quantitative data provided by the CNPq promotion agencies, Capes, INEP and the Department of Education of the State of Ceará through the BR Speech.Finally, a workshop on math women is presented within the scope of the UFCA extension project, Women Scientists in the Cariri (MC ²), at the José Bezerra Menezes High School in Juazeiro do Norte-Ce.
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13
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FRANCISCO ERISSON BATISTA GOMES
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DIVISIBILITY CRITERIA FOR LARGE NUMBERS
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Líder : VALDIR FERREIRA DE PAULA JUNIOR
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MIEMBROS DE LA BANCA :
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VALDIR FERREIRA DE PAULA JUNIOR
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FRANCISCO PEREIRA CHAVES
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FLAVIO FRANCA CRUZ
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PAULO CESAR CAVALCANTE DE OLIVEIRA
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Data: 30-ago-2023
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Resumen Espectáculo
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In this work, results related to division in integers will be presented, in view of the need to determine if a number n, is divisible by p, from the combination of the digits of n, to n, p ∈ Z. Throughout the chapters, we present elementary notions about sets, finite induction, divisibility and prime numbers so that it is possible to develop tools capable of enabling the demonstration of the theorem that allows us to achieve the objective of this work. The result we seek to prove is titled as Divisibility Theorem, which we will apply to basic education through the Divisibility Criteria using many digits at a time and as applications to higher education, we present the demonstration of Arithmetic results.
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14
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NATÁLIO JOÃO SILVA
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THE ARBELOS OF ARCHIMEDES: AN EXTENSION TO THE ELIPSES AND A ALTERNATIVE PROOF
OF PAPPUS THEOREM WITHOUT USING INVERSION
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Líder : FRANCISCO DE ASSIS BENJAMIM FILHO
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MIEMBROS DE LA BANCA :
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FRANCISCO DE ASSIS BENJAMIM FILHO
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FRANCISCO PEREIRA CHAVES
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RENIVALDO SODRÉ DE SENA
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Data: 31-ago-2023
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Resumen Espectáculo
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The present work aims to study and expand the properties of Archimedes’ Arbelos and the Pappus
Chain. An Arbelo is a structure composed of three semicircles that are pairwise tangent and have
the diameters on the same line. Such a structure was studied by the mathematician Archimedes,
who found several interesting geometric properties. Initially we will have an introduction
followed by a brief historical account of the life and work of Archimedes of Syracuse and Pappus
of Alexandria. In the preliminary concepts, we present configurations and results about circles
and ellipses that will be of extreme importance for the good understanding of this work. In
the section dedicated to the results, we present an extension of two properties of the arbelos to
the ellipses, provided that the ellipses involved have the same eccentricity. We prove Pappus’
Theorem using only plane geometry and analytic geometry, which differs substantially from
what is traditionally done: construction using the inversion technique, normally not seen in High
School. Finally, as an educational product, we present a didactic sequence devoted for teaching
of concept of circles and ellipses, such activities can be applied to all levels of high school.
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15
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WALMIR PIRES DOS SANTOS NETO
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SURVEYING PRACTICES AS AN ALTERNATIVE FOR TEACHING OF GEOMETRY IN HIGH SCHOOL
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Líder : VICENTE HELANO FEITOSA BATISTA SOBRINHO
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MIEMBROS DE LA BANCA :
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JUNIO MOREIRA DE ALENCAR
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VALDINES LEITE DE SOUSA JUNIOR
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VICENTE HELANO FEITOSA BATISTA SOBRINHO
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Data: 31-ago-2023
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Resumen Espectáculo
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In this work, we will address the teaching of two fundamental axes in the high school curriculum of Pernambuco, (i) Geometry and (ii) Magnitudes and Measures, along with their diverse skills, through a proposal of contextualized practical activities on the calculation of areas and distances, measurements using conventional and nonconventional units, developed from the perspective of Surveying and the regional and cultural realities experienced by students from the Pernambuco hinterlands. This proposal emerges as an alternative to motivate students and make the teaching learning process more meaningful for the learners. With this, we hope to contribute to both the students, enabling them to improve performance in geometry problems, and the teachers, providing material to enhance their pedagogical practices.
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