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Uma proposta lúdica com utilização do GeoGebra para o estudo de funções quadráticas e probabilidade geométrica
(Universidade Federal de São Carlos, 2016-09-17) Canavezi, Leandro Souza; Caetano, Paulo Antônio Silvani; https://lattes.cnpq.br/0370219014539994; https://lattes.cnpq.br/5857439107072866
This paper reports the idealization, planning, construction and implementation of activities for the study of quadratic functions and geometric probability for classes of 9th grade of elementary school. It also presents the analysis of the activities undertaken by pupils and conclusions about the proposed objectives and goals achieved. The main objective of the developed activities is to provide students a better learning content covered and issues through a playful approach, interactive and motivating. The specific objectives are to develop the ability to translate a mathematical problem in mathematical language, manipulate algebraic expressions, estimates and comparisons, develop mathematical knowledge as knowing how to express and calculate the area and perimeter of plane figures, calculating probabilities of random events, solve quadratic equations, plotting graphs of quadratic functions and manipulate the software or the GeoGebra application. For this we have created a game of darts adapted and activity sheets containing instructions, questions, tables, graphs, calculation exercises, optimization problems and graphic constructions scripts applied to GeoGebra. The methodology used was the Didactic Engineering. The activities were implemented in two classes of 9th grade of elementary school in two different schools, one class at a school in the municipal school of Bauru, São Paulo, and another class of a school in the state school system the city of Agudos, state of São Paulo. During the application were used 12 50-minute lessons in two classes, with six days of double classes, in which students actively participated in all activities. Our work makes reference to the National Curriculum Parameters (PCN) and other documents governing the teaching of mathematics in public schools in Brazil. We recommend and authorize reproduction of these activities for didactic purposes.
Uma sequência didática com embalagens de pipoca para o estudo de semelhanças
(Universidade Federal de São Carlos, 2016-09-17) Ibrahim Filho, Georges; Caetano, Paulo Antônio Silvani; https://lattes.cnpq.br/0370219014539994; https://lattes.cnpq.br/7306675819706612
This paper presents an educational sequence for the Geometry classes, which explores the concept of similarity, focusing on the variation of the similarity ratio between linear measurement, areas measurements and volume of some polyhedrons. The problematic situation in this case involves a comparison between the prices of different popcorn packaging sizes in Bauru ́s movie theaters and its area.
Uma sequência didática para o ensino de transformações geométricas com o GeoGebra
(Universidade Federal de São Carlos, 2016-09-17) Pimentel, Luiz Fernando Garcia; Caetano, Paulo Antônio Silvani; https://lattes.cnpq.br/0370219014539994; https://lattes.cnpq.br/6328628999461562
This actual study is an investigation about the importance of using computers and other information and communication technologies (ICTs) in the teaching of Mathematics. We believe in the thesis that ICT can contribute as an educational means for the improvement of teaching and learning situations, and consequently in solving problems such as school failure and school indiscipline. Therefore, we designed and applied a didactic sequence using the Geogebra for the development of Isometries topic in a class of 6th grade of elementary school. The didactic sequence was structured within the perspectives of Didactic Engineering and adopted a qualitative methodology. The results indicate that ICTs contribute significantly in the process of teaching and learning, but some external factors are still obstacles to the effective implementation of this resource in schools.