Dissertations/Thesis

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2024
Dissertations
1
  • RENATO ELIAS DOS SANTOS D'AVILA JUNIOR
  • não há

  • Advisor : JULIANA SANCHES
  • COMMITTEE MEMBERS :
  • JULIANA SANCHES
  • BRUNO BROGNI UGGIONI
  • SIMONE MAFFINI CEREZER
  • SIMONE FRANCISCO RUIZ
  • Data: Mar 27, 2024


  • Show Abstract
  • In this work, we present a didactic sequence for the teaching of probability, grounded in the origin of Probability Theory, dating back to games of chance. Historically, players and mathematicians engaged in analyses, comparisons, strategies, and calculations related to the frequencies of occurrences in gambling games. Understanding this historical context suggests that the use of games can be a suitable resource for Probability teaching, providing a dynamic and engaging approach. The elaborated didactic sequence comprises four sessions, proposing games aimed at conveying fundamental probability concepts. The objective is to create an educational experience that allows students not only to comprehend theoretically but also to experience in practice the concepts of probability, bets, and payouts against the house. This approach aims to stimulate students' reflection on mathematical concepts, providing a deeper and more meaningful understanding of probabilistic concepts while involving them in practical and challenging situations. It encourages the application of mathematical knowledge in everyday contexts, such as gambling. Thus, the didactic sequence represents not just a set of activities but a tangible outcome of this dissertation, reflecting innovation and the pursuit of effective pedagogical strategies in Probability teaching.

2
  • JOSADAQUE DA SILVA NENÊ
  • Exploring Computational Thinking with Emphasis on Developing Algebraic Thinking in Basic Education

  • Advisor : CLAUDIOMIR FEUSTLER RODRIGUES DE SIQUEIRA
  • COMMITTEE MEMBERS :
  • LEONARDO BARICHELLO
  • CARINA LOUREIRO ANDRADE
  • CLAUDIOMIR FEUSTLER RODRIGUES DE SIQUEIRA
  • Data: May 8, 2024


  • Show Abstract
  • The difficulties of thinking algebraically and understanding the concept of variable are recurrent, and can be evidenced in the students' lack of understanding of mathematical entities, such as the use of a letter to represent any number. As a result, failures occur from Basic Education to higher education. To alleviate this difficulty in Basic Education, this research seeks to contribute to improving the development of Algebraic Thinking based on teaching and learning experiences that explore Computational Thinking (CT) in Basic Education. In this sense, different didactic strategies for constructing algebraic language were used based on CT experimentation aimed at the development and consolidation of Algebraic Thinking. Such an exploratory CT approach to the development of Algebraic Thinking had the advantage of offering an intermediate step between the “concrete” and abstraction, as the concepts of variables and the need for symbolic representation for arbitrary or unknown quantities are introduced via algorithms to from concrete situations. The activities were applied to a seventh-year elementary school class in the municipal network of Cachoeirinha - Rio Grande do Sul. The class is made up of teenagers who, for the most part, have not yet had contact with the algebraic language. As results, it was observed that there is a relationship between activities that explore CT and the manifestation of Algebraic Thinking. Students who were able to develop the pillars of CT when solving a problem manifested elements that characterize Algebraic Thinking, therefore, this can be seen as an indication that the development of CT helps in the teaching and learning of Algebra in Basic Education, contrasting with what is described in the National Common Curricular Base. As indicated in the literature, it was found that the pillar of abstraction plays a fundamental role in the manifestation of Algebraic Thinking, and also that writing algorithms, even in natural language, allows checking whether the steps prior to writing them were carried out appropriately. . This approach also allowed us to verify which stage of Algebraic Thinking the student is at. A relationship was also observed between the capabilities of reading and interpreting text in problem solving and capabilities of decomposition, pattern recognition, abstraction and writing algorithms.


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