|
???dissertacoes??? |
|
|
1
|
-
TIAGO WESLEY DE JESUS MACHADO
-
MATEMÁTICA NA ASTRONOMIA: UTILIZAÇÃO DA PARALAXE HELIOCÊNTRICA NO ENSINO DE TRIGONOMETRIA NO TRIÂNGULO RETÂNGULO
-
Advisor : SILVIO CESAR GARCIA GRANJA
-
Data: Apr 3, 2023
-
-
Show Resume
-
This work uses Astronomy as a motivating agent in the teaching of Mathematics, more specifically in the teaching of Trigonometry in the Rectangle Triangle for High School students, as well as using an evaluation instrument to quantify the degree of students’ learning. A bibliographical research was carried out in the official educational documents of the Ministry of Education and the State Department of Education of Mato Grosso in order to know what is expected of high school students when learning Trigonometry in the Rectangle Triangle. A survey of the development of Trigonometry throughout history was also carried out, passing through ancient peoples and reaching the present day. The application of this work took place with the three classes of the 2nd year of High School of 2022 at the Escola Estadual Militar Tiradentes “Sd PM Adriana Moraes Ramos”, where the proposal was presented to the students and, after their acceptance to participate, Initially, three pre-tests aided by the IRT were carried out, one on Measurement Units, another on Astronomy and another on Trigonometry in the Right Triangle in order to diagnose the proficiency that these students already had. A didactic sequence was built with the aim of leveling students with regard to the necessary prerequisites for the development of activities, and the material was made available through a Virtual Learning Environment. As a way of transforming mathematical learning, which is abstract, into something tangible, the students built a rudimentary Parallax Display, which they used to indirectly measure short distances inside the school yard, making a report in which they demonstrated how they arrived at such a distance. After this indirect measurement experience, data from some stars were given to the students so that they could calculate the distance between these stars and the Earth using the Heliocentric Parallax method, producing a final report with the calculations used. After the intervention, the students were submitted to a post-test of Trigonometry in the Rectangle Triangle in order to serve as a comparison with the initial pre-test and to better analyze the effectiveness of the didactic sequence applied. As a way of measuring the students’ opinion regarding the didactic sequence, a satisfaction questionnaire was applied in which they answered objective and discursive questions regarding the approach. This application provided students with a different way of learning Trigonometry in the Right Triangle, reflecting directly on the learning rates which can be observed in the comparison between the pre-test and the post-test on Trigonometry in the Right Triangle. As a contribution to the Teaching of Trigonometry in the Right Triangle, a manual was developed for the construction and use of a Parallax Display for indirect measurements of distances. Finally, all the materials necessary for the development of this work, such as the evaluation questions, can be found in the annexes and appendices.
|
|
|
2
|
-
FRANCISCO APARECIDO EUFRAUSINO
-
Aprendizagem e Ensino por meio da Modelagem Matemática
-
Advisor : LUCIANA MAFALDA ELIAS DE ASSIS
-
Data: Apr 14, 2023
-
-
Show Resume
-
This work reports a research involving students of the second year of High School in a public school in the municipality of Sinop-MT, in which the Mathematics teacher proposes an activity developed in the classroom involving Mathematical Modeling contextualized as an active methodology through theory of Learning Curves. Such theoretical contributions were inserted so that the activities of games such as the game of Cards, Puzzles, Rings and the online game Tap Tap Dash presented themselves as a real situation performed by the students, connecting such games to contents present in the curriculum of Basic Education mathematics, through Mathematical Modeling, transforming these activities into a teaching and learning environment. The activities were planned in such a way that the students participated actively, from data collection to the analysis and interpretation of models that describe learning curves using the mathematical software Geogebra. As a result, we came to the conclusion that the environment provided by Mathematical Modeling was able to make students learning meaningful. This is justified through the students speeches and also through the experience we had with this research, so that we could see that Modeling associated with the use of technologies in the classroom boosts students learning by motivating them and instilling in them curiosity, generating more dynamic and effective learning.
|
|
|
3
|
-
GILBERTO MONTEIRO PROCOPIO
-
Estudos de Primalidade na Educação BásicaE: Elaboração de Sequência Didática com a utilização de Linha do Tempo
-
Advisor : CHIARA MARIA SEIDEL LUCIANO DIAS
-
Data: Jun 30, 2023
-
-
Show Resume
-
Research into the properties of prime numbers portrays elements that were the subject of dedication and effort by many mathematicians, in different parts of the world and at different times. The study of Primality composes fragments of studies that imply different applications in the field of mathematical knowledge. And so, as it is a knowledge that was built gradually, it has a spatial and temporal dimension. The proposal that is brought here is to present the main concepts of Primality adapted to Basic Education with the resource of a timeline, which portrays the conceptual and historical trajectory of prime numbers, since Euclid (300 BC), in his work “ The Elements”, passing through the Sieve of Eratosthenes (230 BC), equations and results presented by Fermat, Mersenne and Euler (17th - 18th centuries), possible frequency patterns, Gauss (19th century), Riemann hypothesis (1959) , the zeros of the zeta function, Hardy and Ramanujan (1914-1919), the machines and Alan Turing (1940-1950), the RSA encryption system (1970-1980) and ending the late 20th century, physics concepts quantum physics, chaos and prime numbers. In this sense, we propose the construction of a didactic sequence, based on Zabala (1998). With this chronology in hand, we will use the arithmetic results presented in each phase, based on their historical framework, understanding when and how they were thought and making the didactic transposition to a language aimed at basic education, giving meaning to learning and a different approach from current textbooks. We will support the material based on the Junior Scientific Initiation Program of OBMEP – PIC, The Fascínio dos Números Primos by Jucimar Peruzzo in parallel with the Arithmetic book from the PROFMAT collection by Abramo Hefez, 2016, which will guide mathematical learning and serve of reference in the construction of the proposed didactic sequence.
|
|
|
4
|
-
MAUROCIR SILVA
-
PLACAS FOTOVOLTAICAS - APRENDIZAGEM BASEADA EM PROJETOS: UMA APLICAÇÃO DE MODELAGEM MATEMÁTICA PARA O ENSINO MÉDIO
-
Advisor : RAUL ABREU DE ASSIS
-
Data: Aug 9, 2023
-
-
Show Resume
-
This dissertation presents a didatic sequence for learning Mathematics, using photovoltaic panels as a topic of study. We will briefly discuss the importance of using active methodologies such as Project Based Learning (ABProj) and Mathematical Modeling, which bring significant benefits to the studentes, allowing them to develop skills and competencies needed to meet the challenges of today's world, while making the process of learning mathematics more engaging and meaningful. A mathematical modeling work was carried out with a central theme related to photovoltaic panels with the objective of modeling the angle of inclination of the plates' installation, for the maximization of the luminous energy flux and thus obtain higher energy production. Based on the model developed, didactic sequences and activities are proposed to be used in elementary and high school. In this sense, this work proposes through Project Based Learning (ABProj) and Mathematical Modeling, that the student uses mathematics in a concrete and satisfactory way, enabling analysis, discussion, construction of concepts and formulation of ideas through the resolution of everyday problems, contributing to meaningful learning.
|
|
|
5
|
-
MAURINETE COSTA DOS SANTOS
-
UMA ABORDAGEM SOBRE O USO DO SOFTWARE GCOMPRIS COMO FERRAMENTA PEDAGÓGICA NO ENSINO DE MATEMÁTICA NO LABORATÓRIO DE APRENDIZAGEM
-
Advisor : EMIVAN FERREIRA DA SILVA
-
Data: Aug 10, 2023
-
-
Show Resume
-
This dissertation addresses the use of the GCompris Educational Software as a pedagogical tool in teaching mathematics, focusing on its contributions for the study of geometry. The research, developed in a school of the state network located in the municipality of Sinop/MT, had the general objective of investigating how the use ofEducational Software GCompris can contribute to the teaching of mathematics, with focus on the study of geometry, through a pedagogical intervention, with students of the 6th year of Elementary School, who attend the Learning Laboratory. To carry out this study, a qualitative, descriptive research was used, with approach to a case study, organized in different stages. The first consisted of a pre-test, structured in the form of a didactic sequence, constituted of plane and spatial geometry activities. Subsequently, they were applied activities with the support of GCompris, to answer the questions. Finally, the post-test was applied, with the same questions as the pre-test. Finally, it was organized a focus group with the students, to analyze, from their point of view, thecontributions of the GCompris Software in the teaching of geometry. For the generation of data, printed activities, photographs and focus group were used. the intervention pedagogy was developed in eleven meetings. The students participated in active participation in the proposed activities. It was possible to perceive that the practices developed can contribute to improving the understanding of mathematical concepts, with a focus on in the study of geometry, which were approached in this work. It is also emphasized that, after applying the Software, the students showed greater interest for the contents worked on in the Learning Laboratory and presented favorable results from the use of this Software.
|
|
|
6
|
-
MARIA APARECIDA ALVES ROCHA
-
EDUCAÇÃO FINANCEIRA: Uma Proposta Didática para o Ensino de Matemática Financeira
-
Advisor : MIGUEL TADAYUKI KOGA
-
Data: Aug 12, 2023
-
-
Show Resume
-
This work is the result of a didactic action experienced in the Professional Master's Program in Mathematics in National Network - Profmat of UNEMAT - Campus of Sinop. The present study involves students in the third year of high school at a state public school in the municipality of Sorriso, in the state of Mato Grosso, in which the Mathematics teacher proposes an activity developed in the classroom involving Financial Education. In which the proposal is based on meaningful learning in order to contribute to the student's training and that they collaborate in the organization of family budgets, specifically in the acquisition of assets, which can be a property, adding their financial resources in purchases of products and services in a way conscious. Family budget control assists in making financial decisions, contributes to reducing debt and to the possibility of acquiring goods. Studying Financial Education allows students to acquire knowledge about financial concepts and products, developing in them an awareness that unplanned actions can subsequently impact their quality of life. From this perspective, the work aims to elaborate and experiment with a pedagogical proposal, using Financial Mathematics for students of the 3rd year of High School, from a state school in the city of Sorriso in the State of Mato Grosso. The research will be qualitative participant, using a case study and methodologically will be worked through a guideline problem that will involve the acquisition of a consumer good chosen by the students, which may be the acquisition of a property or a consumer good that requires the student needs to research the best way to acquire this good, leaving it to the discretion of the group of students what will be researched, presenting situations that involve the budget and family expenses, thus encouraging the habit of saving to be able to invest in the achievement of goals, specific knowledge about interest rates for real estate financing and develop a critical view on which is the best investment.
|
|
|
7
|
-
FÁBIO DE FREITAS FERNANDES
-
PROPOSTA METODOLÓGICA PARA ENSINO DE GEOMETRIA ESPACIAL COM A UTILIZAÇÃO DO SOFTWARE SUPERLOGO PARA O ENSINO FUNDAMENTAL
-
Advisor : GIOVANE MAIA DO VALE
-
Data: Aug 25, 2023
-
-
Show Resume
-
Considering that there is a growing search on the part of researchers and teachers for techniques that try to materialize and reframe the teaching and learning process of Mathematics, the present research discussed a methodological proposal for teaching Spatial Geometry with the use of the SuperLogo software for students of Elementary Education. The general objective of this work was to create and present a teaching proposal for Spatial Geometry, focusing on Plato's Solids, supported by the SuperLogo programming software. In order to achieve this objective, the research was divided into other objectives. However, more specific ones, such as: Carrying out a broad bibliographical research, which covered the list of knowledge related to the research topic, also carrying out a more in-depth study of the Logo language, such as commands and instructions; it was also necessary to study the concepts and properties associated with Plane Geometry, associated with the theme; and also, study the contents related to Plato's Solids and their respective constructions; it was then proposed to construct a methodological proposal of a didactic nature, focusing on Plato's Solids, supported by the SuperLogo programming software. Therefore, to respond to the concern that led to the research, the qualitative empirical methodology was used, through the construction of a methodological proposal of a didactic nature for the teaching of Spatial Geometry. We also sought to carry out consultations in bibliographies in publications and didactic material on the subject; and, however, the descriptive method was used to demonstrate the aforementioned proposal. The main results show that the research establishes a pedagogical proposal for a set of activities that resulted in a considerable didactic proposal for teaching Mathematics, in which each set of activities leads to a Plato Solid and is based on the geometric specifications of polyhedrons and knowledge related to the Logo Programming Language.
|
|
|
8
|
-
VILSON DE FIGUEREDO
-
EDUCAÇÃO MATEMÁTICA VOLTADO PARA INCLUSÃO DOS ALUNOS INDÍGENAS DAS ESCOLAS URBANAS DO MUNICÍPIO DE PEIXOTO DE AZEVEDO - MT
-
Advisor : MIGUEL TADAYUKI KOGA
-
Data: Aug 26, 2023
-
-
Show Resume
-
The present work starts from a personal quest to try to understand how to teach and how to make learn those who in some way in my opinion should be better taught in this country. I am referring here to the indigenous peoples for being the first Brazilians who lived here when the country is said to have been "discovered", after this fact the life of freedom of the indigenous peoples was transformed, in goals that were never theirs. Today more than half a millennium they still live the goals set by other peoples and to maintain their cultures, traditions and preserve nature, they need knowledge that goes beyond the ethnic knowledge that their ancestors passed on to them from generation to generation. To obtain this knowledge, it is sought in other cultures to learn new languages and new knowledge, within this mathematics is present with all its rules and concepts and that for a majority of people becomes complicated to learn, even when it is taught in the very language in which we were raised. The present work presents a research of the action-research type, where it is proposed to know and test better how to do the act of teaching and learning indigenous students who attend urban schools, where their culture, customs and language of origin are not taken into account. These are steps and processes that are applied and observed the income of the respective students, to describe in this work the results obtained. For this, it was necessary to study the problems of school learning for students of ordinary schools, that is, of non-indigenous students and compared to the learning processes of the indigenous people in question here.
|
|
|
9
|
-
GUILHERME DE LIMA FARIAS
-
Ensino de plano cartesiano por meio de jogos digitais: uma investigação da aprendizagem significativa
-
Advisor : INEDIO ARCARI
-
Data: Aug 29, 2023
-
-
Show Resume
-
Mathematics in its traditional approach tends to be an unattractive discipline for the current generation, who have great access to digital technologies and ease of obtaining information, a fact that generates disinterest and dispersion in classes. The teaching of Geometry in particular depends on the use of technological resources and their application in the students' daily life so that their concepts cease to be merely abstract elements and start to have meaning. In this sense, approaches that use digital games based on the investigation of meaningful learning have been a study factor. The objective of the present study was to verify the contributions of a proposal with digital games created via Geogebra for a meaningful learning of the Cartesian plane in the 6th year of Elementary School. Questionnaires about the students' profile, diagnostic assessment to identify prior knowledge, formative assessment and questionnaires to survey students' perceptions were used as instruments. The results demonstrated the advantages of using digital games as a teaching resource, as we found evidence of significant learning of the mathematical content addressed promoted by the encouragement, motivation and cooperation among students during the application of the didactic sequence, contributing to the construction and modification of concepts and mathematical literacy. It was concluded that the use of digital games can contribute to the teaching and learning process of Geometry, encouraging meaningful learning and human development of students.
|
|
|
10
|
-
CLEITON DO NASCIMENTO HENRIQUE
-
USO DO SOFTWARE SCRATCH E HISTÓRIAS EM QUADRINHOS NO ENSINO DE MATEMÁTICA: UMA INTERVENÇÃO PEDAGÓGICA
-
Advisor : ROGERIO DOS REIS GONCALVES
-
Data: Aug 31, 2023
-
-
Show Resume
-
This work focused on the implementation of the "comics" teaching methodology and the Scratch software to create digital comics, in a second year high school class, in a public school. Initially, the intention was to strengthen mathematical concepts through this application. However, many students adopted a more expressive approach, focusing on storytelling. Although the project did not fully achieve its initial goal of improving students' understanding of mathematical concepts, as many students adopted a more expressive approach focused on storytelling, it generated several benefits. It provided a stimulus for students' creativity and the development of narrative, design and critical thinking skills. It allowed students to express feelings, particularly regarding test anxiety, suggesting the potential of the methodology to promote well-being in the classroom. This led me, as an educator, to rethink my teaching practice and realize the importance of not focusing exclusively on learning mathematical content, but also adopting a more humanistic perspective in the classroom. This application also encouraged project-based learning, which increased student engagement and motivation. The experience gave the teacher an opportunity to reflect on their teaching practices and find new ways to achieve pedagogical goals, including adjusting the focus of mathematics according to the students' interests. Additionally, by using Scratch, students have developed digital skills and 21st century competencies. In summary, this dissertation highlights the importance of innovative teaching methods and suggests that other similar experiences can be useful for educators who seek alternative teaching methods. The research also paves the way for greater integration of technology and mental health into the school curriculum.
|
|
|
11
|
-
DIEGO CURZEL
-
GEOTECNOLOGIAS (GOOGLE EARTH) NO ENSINO DE MATEMÁTICA
-
Advisor : RODRIGO BRUNO ZANIN
-
Data: Aug 31, 2023
-
-
Show Resume
-
The use of Google Earth as a teaching tool has been widely explored in various disciplines, including mathematics. Through Google Earth, students can relate mathematical concepts to real-world situations, allowing for more concrete and contextualized learning. In addition, the use of this tool can make the learning process more meaningful and motivating for students. However, it is important that teachers are prepared to use Google Earth appropriately, planning activities aligned with the pedagogical objectives of the discipline and allowing students to explore the potential of the tool in a critical and reflective way. In this sense, this dissertation aims to indicate the use of Google Earth in mathematics classes, discussing its potential and presenting strategies.
|
|
|
12
|
-
TIAGO SCHMIDT
-
O uso de planilhas eletrônicas para aplicações de Programação Linear: Implementando o algoritmo Simplex e o modelo CCR-DEA
-
Advisor : EMIVAN FERREIRA DA SILVA
-
Data: Aug 31, 2023
-
-
Show Resume
-
Linear programming emerged from several contributions, still in the first half of the 20th century, and played an important role in the context of the second world war, enabling a better use of limited resources.Its use can occur in different sectors such as military, industry, commerce, education, health, etc.It is a mathematical optimization tool that aims to reduce the consumption of resources or increase the performance of services, subject to restrictions on the variables and relationships between them.The modeling of a linear programming problem considers that both the function to be optimized and the restrictions imposed have a linear behavior in each variable.One application of linear programming methods is Data Envelopment Analysis (DEA), which emerged at the end of the 1970s, through the work of Charnes and his fellow researchers, which provides a model for comparing companies, sectors, agencies, etc.itself, analyzing the individual efficiency of each unit (Decision-Making Unit - DMU), based on information on the level of use of inputs (inputs/imputs) and obtaining results or products (outputs/outputs).This work initially aimed at the elementary study of these two tools, in order to enable their computational implementation in relatively easy access software.Thus, in order to understand and apply the concepts studied, referring to the Simplex algorithm used to solve a Linear Programming (LP) model, as well as to enable the presentation of the method's iterations to future interested parties, the construction software was chosenof spreadsheets "'Calc"' which is part of the package "'LibreOffice"' and is distributed free of charge.For the implementation of the Simplex algorithm, the logic functions of this software were mostly used, making it possible to display each step of the algorithm and its iterations.At another time, the tool "'solver"', available by the software, was used, which allows, quickly and directly, the resolution of a LP model, from the input of information in a spreadsheet.With this, a spreadsheet was built, adapted to a DEA - CCR model focused on Imputs, through which it was possible to simulate applications, using educational indicators from ten states of the federation, finding reference units for each DMU analyzed, as well as desired levels of inputsthat lead to the established efficiency.The spreadsheet obtained, used as a simple analysis tool, can be important in the process of learning to use this method, in comparison with results presented in texts in the area, and in applications with a limited amount of inputs and products.
|
|
|
13
|
-
PAULO CEZAR KROTH DOS SANTOS
-
IA GENERATIVA NA EDUCAÇÃO MATEMÁTICA: EXPLORANDO O CHATGPT EM QUESTÕES DO NÍVEL I DA OLIMPÍADA DE MATEMÁTICA DA UNEMAT
-
Advisor : ERICO FERNANDO DE OLIVEIRA MARTINS
-
Data: Dec 6, 2023
-
-
Show Resume
-
This research explores the use of Generative Artificial Intelligence (GAI), specifically OpenAI's ChatGPT, as an aid tool for mathematics teachers in developing support materials for 4th and 5th year students, motivated by participation in the Mathematics Olympiad. Unemat.The UNEMAT Mathematics Olympiad is structured into three distinct phases, each one presenting an increasing level of difficulty and complexity, covering students from the early years of elementary school to high school. For the purpose of this research, we focused specifically on Level I, which covers students in the 4th and 5th grades, with all questions from the years 2017, 2018, 2019, 2022 and 2023 being used for ChatGPT analysis and evaluation.An assessment of the potential and limitations of the ChatGPT-4 and ChatGPT-3.5 versions was carried out, organized into three methodological stages. The first stage focused on the accuracy of ChatGPT-4, analyzing its successes and errors in mathematical questions. The second stage evaluated ChatGPT-3.5's ability to generate relevant questions for students' preparation for the Unemat Mathematics Olympiad. The third step compared the performance of the two versions of ChatGPT, examining their hit and error rates.The results revealed that ChatGPT-4 has an accuracy rate of 82.20%, with the majority of errors occurring in questions with visual elements, indicating a limitation of the model in this area. The questions generated by ChatGPT-3.5 were mostly relevant, although some were too complex for the target audience. Comparison between versions showed that ChatGPT-4 is superior to ChatGPT-3.5 in terms of accuracy and detail in responses.The research concludes that ChatGPT has significant potential as an auxiliary tool in mathematics teaching, but highlights the need for improvements in the interpretation of visual elements and in calibrating the difficulty of questions. The identified limitations offer valuable directions for future research and improving the integration of IAG into mathematics education. As a product, the research provides a valuable documentary record of the responses and questions generated by the ChatGPT versions, contributing to future comparative studies in the area.
|
|
