https://repositorio.ufu.br/handle/123456789/5155 2026-06-22T14:25:24Z https://repositorio.ufu.br/handle/123456789/48747 Title: Jogando e aprendendo matemática: o uso do material dourado no atendimento educacional especializado Abstract: This research aimed to investigate how the use of base-ten blocks (or golden material) can contribute to the teaching of mathematics to students with intellectual disabilities in the 3rd grade of elementary school. It stemmed from a problem experienced by the author of this work while working with students with disabilities as a Special Education teacher. In seeking teaching strategies, possibilities arose for using educational games as a tool in mathematics classes, which motivated this study. The guiding question was: how can the use of base-ten blocks contribute to the mathematical learning process of students with intellectual disabilities in the 3rd grade of elementary school? To this end, it was assumed that the use of concrete and playful resources, when integrated into inclusive pedagogical practices, can favor the understanding of numerical and operational concepts, can increase the active participation of students, and promotes the development of autonomy and logical reasoning. This qualitative and descriptive research was conducted in a municipal public elementary school located in the city of Ituiutaba, in the state of Minas Gerais. Four students with intellectual disabilities from the 3rd grade participated in the development of the game "Never Ten with Golden Material". Data was collected through observations, field diary entries, photographs, and notes on the interactions between the teacher and students during the game's stages. The analysis of the results indicated that the use of golden material contributed to the learning of the concepts of unit, tens, and hundreds, as well as to the understanding of addition and subtraction operations. It was found that the playful activities stimulated interest, concentration, and cooperation among the students, enabling cognitive and social advances, and that the teacher's mediation played a central role in consolidating knowledge, favoring the development of mathematical language and strengthening the self-esteem of the participants. The Educational Product, part of the Professional Master's program, was developed from the game "Never Ten," using Golden Beads (or Base Material) as a learning tool. The proposal aims to contribute to teaching practice by presenting didactic strategies that favor the learning of mathematical concepts through the use of Golden Beads, promoting a more playful, concrete, and accessible approach for students. It concludes that Golden Beads, associated with playfulness and pedagogical intentionality, is an inclusive resource for teaching mathematics in the early years, promoting learning and valuing the potential of each student. 2026-02-26T00:00:00Z https://repositorio.ufu.br/handle/123456789/48722 Title: Avaliação das variáveis climáticas: precipitação, temperatura e umidade relativa do ar da cidade de Franca-SP por meio de análise de séries temporais Abstract: Understanding how climatic conditions interfere with agriculture is fundamental, especially for coffee cultivation, one of the main economic activities in the city of Franca-SP, recognized for its relevance in coffee production in Brazil. In this context, the objective of this study was to adjust time series models capable of predicting climatic variables such as monthly precipitation, average temperature, and relative air humidity, contributing to assisting in the decision-making of coffee growers and rural producers. To this end, SARIMA-type models were adjusted using profitable monetary data between January 2011 and May 2025, planned for the period from January to May 2025. The model selection criteria were based on the lowest values of the Akaike Information Criterion (AIC) and the Bayesian Schwarz Criterion (BIC). Predictive per formance was evaluated using the metrics RMSE (Root Mean Squared Error), MAE (Mean Absolute Error), MASE (Mean Absolute Scaled Error), and ME (Mean Error). The results in dicated distinct performances for each climatic variation. The total monthly exception showed reasonable performance with the SARIMA (0,0,1)(0,1,1)12 model, possibly due to the high variability characteristic of this variable. The average monthly temperature showed the best performance among the variables tested with the SARIMA (1,0,1)(0,1,1)12 model, demonstra ting high precision in the isolated variables. Relative air humidity showed superior results with the SARIMA (0,0,1)(0,1,1)12 model, although with superior performance compared to tempe rature. Overall, the results indicate that models from the SARIMA family can be useful tools for forecasting climate variations, potentially assisting in planning and decision-making related to coffee crop management. 2026-03-16T00:00:00Z https://repositorio.ufu.br/handle/123456789/48576 Title: A fatoração de xⁿ-1 em binômios e trinômios irredutíveis sobre os corpos com 2 e 4 elementos Abstract: Let q be a prime power and Fq the finite field with q elements. The factorization of polynomials over finite fields plays a fundamental role in several areas, such as error-correcting coding theory and cryptography. A particularly important polynomial is xⁿ-1, since, for example, each of its irreducible factors corresponds to a cyclic code. Under certain conditions, the polynomial xⁿ-1 factors exclusively into irreducible binomials and trinomials over Fq. In this case, we say that the pair (n, q) is 3-sparse. The aim of this work is to give a complete classification of the pairs (n, 2) and (n, 4) that are 3-sparse. 2026-02-19T00:00:00Z https://repositorio.ufu.br/handle/123456789/48412 Title: Fibrado de memórias acadêmicas 2026-02-20T00:00:00Z