DSpace Coleção:http://bdtd.uftm.edu.br/handle/tede/32026-09-03T23:55:23Z2026-09-03T23:55:23ZModelo de barras na resolução de problemas ao longo do ensino fundamentalhttp://bdtd.uftm.edu.br/handle/123456789/21022026-08-26T02:03:12Z2022-05-26T00:00:00ZTítulo: Modelo de barras na resolução de problemas ao longo do ensino fundamental
Abstract: This dissertation aims to present the Bars Model as a proposal for teaching Mathematics
through problem solving. This methodology has achieved success in the transition from
arithmetic to algebraic thinking. The work presents the theories that underlie and guide
the work of teachers from mathematical literacy to the end of Elementary School. Exercises
of increasing difficulty are exposed so that those involved in the preparation of classroom
activities become familiar with the pictorial approach to solving word problems. The
construction of the Bars Model is exposed with its theoretical aspects of the Singapore
curriculum. This country introduced and consolidated word problem solving through
the Bars Model. Finished the work with a collection of exercises extracted and adapted
from books from Singapore and other countries to exemplify the range of problems of the
different subjects that can be explored with the Bars Model. (BNCC) that the teacher
will develop in their classroom activities.
Tipo: Dissertação2022-05-26T00:00:00ZA importância das sequências numéricas para estudo do Cálculo Diferencial no Ensino Médiohttp://bdtd.uftm.edu.br/handle/123456789/18432024-12-03T02:02:27Z2018-11-09T00:00:00ZTítulo: A importância das sequências numéricas para estudo do Cálculo Diferencial no Ensino Médio
Abstract: We know that it is in High School that the students have a first contact with the definition of function and, furthermore, we know that the main objective of Calculus is not to study limits, derivatives and integrals, but the study of functions using these tools. The introduction of some tools of the Differential Calculus on polynomials in High School, in an introductory and intuitive way, is very useful for a better understanding of the behavior of these functions, letting the formalism and the calculation applied to the most diverse functions continue being introduced in the higher education. In this work we present a proposal of activities to introduce some concepts of Differential Calculus on polynomials in high school. More specifically, we approach the concepts of sequences numeric series, and limits to support some concepts of derivative and optimiza- tion of polynomial functions. In each topic, illustrative activities will be proposed in order to introduce, in a simple way, the intuitive idea of the Differential Calculus. We also introduced some numerical methods, such as the Bisection method and Newton’s method, to find zeros of polynomial functions, aiding in the search for optimal points of polynomials. We apply the concepts presented in illustrative activities, in order to facilitate the understanding of these concepts.
Tipo: Dissertação2018-11-09T00:00:00ZA linguagem python como ferramenta no ensino básico.http://bdtd.uftm.edu.br/handle/123456789/16672024-02-28T02:02:49Z2021-11-18T00:00:00ZTítulo: A linguagem python como ferramenta no ensino básico.
Abstract: During the pandemic, the school environment was faced with the need
to use technological tools for the development of teaching activities.
Technological activity has interfaces to current academic and professional
daily life. In teaching, there is a need to connect programming with mathematics
teaching, in order to enhance the learning of certain mathematical
subjects. During the pandemic, the school environment was faced with the need
to use technological tools for the development of teaching activities.
He corroborates (RESNICK, 2013) in his statement that programming is
the form of expression of this century and that the act of programming is
a set of actions that we formulate in advance to achieve a certain objective,
characteristics that are easily found in elementary school math classes
during content development and problem solving. The language Python (ROSSUM; JR, 1995) was selected for the development of the proposed activities because it is a simple to understand language,
has commands similar to English, is dynamic and flexible, and the
IDE (Development Interface) used for the elaboration of the codes is the
PyCharm. One of the objectives of this research is to discuss the benefits of learning
programming in basic education and also to propose activities that involve
programming and mathematical content, providing students and teachers
with discoveries and paths that are different from a traditional class.
Tipo: Dissertação2021-11-18T00:00:00ZStartic Lab: um laboratório web para o ensino de probabilidades.http://bdtd.uftm.edu.br/handle/123456789/16662024-02-27T02:02:47Z2022-04-08T00:00:00ZTítulo: Startic Lab: um laboratório web para o ensino de probabilidades.
Abstract: Teaching faces, in general, great challenges to reconcile the demands of a generation born in the digital universe with the knowledge acquired by humanity, organized in the form of content. In the case of subjects that involve abstract concepts, such as probability, the challenge becomes even greater, since the average student has no contact with the subject and depends on a large number of experiments to be able to perceive patterns. In this respect, current technology allows the use of virtual laboratories, which guarantee the student a practical experience of experiments that cannot be carried out with great educational effectiveness due to their high cost and the need for replication. This research is placed in this context, with the objective of developing an online statistics laboratory so that students and teachers can improve the teaching and learning process of some concepts related to basic statistics and probability. With the review of two classic games related to the theme, the passe-dix and the Bertrand box, and with special attention to the points that correspond to the main difficulties of the Brazilian student in the 21st century, the virtual laboratory has the potential to insert the content, considered complicated, in a playful and visual way, which tends to consolidate the knowledge of users. With the application of the developed laboratory, students are able to see that it is more likely to obtain the sum 10 compared to the sum 9 in the pass-dix game, solving the misunderstanding of the bias of equiprobability, as well as correctly understanding the sample space through visual graphics. Regarding the game Bertrand box, students can perceive the sample space, also visually, avoiding common errors in game analysis, such as inverting the temporal axis. Through the game Snakes and Ladders, students learn mathematics by playing dice, that is, it provides a playful teaching of mathematics. As in the game of Differents, children with the use of dice are able to learn probability in a fun way. Based on the examples shown, the present research is concluded with a discussion on the importance of using virtual laboratories to improve the teaching and learning process of students from all classes and in all contexts, since major obstacles found in experiments that they use physical laboratories are remedied and, in addition, the profile of the contemporary student is quite compatible with digital information and communication technologies applied to Education.
Tipo: Dissertação2022-04-08T00:00:00Z