RELATIONSHIPS BETWEEN ALGEBRIC, GEOMETRIC AND ARITHMETIC THINKING IN AN ENVIRONMENT OF COLLABORATIVE PRODUCTIONS WITH GEOGEBRA FROM THE USE OF THE CAS WINDOW
Arithmetic, algebraic and geometric thinking; GeoGebra online course.
This dissertation is part of the research line Digital Technology in Science and Mathematics Teaching of the Stricto Sensu Graduate Program in Science and Mathematics Teaching, of the State University of Mato Grosso “Carlos Alberto Reys Maldonado” (UNEMAT), Campus of Barra do Bugres. Its objective is to analyze the productions and discussions that took place in the 16th and 17th edition of the GeoGebra Course, specifically developed with the support of the CAS Window, involving relationships between algebraic, geometric and arithmetic thinking. The mentioned course is an extension project directed by a volunteer group of Mathematics teachers, whose leader is Professor Sérgio Cazarredo Dantas, at the State University of Paraná (UNESPAR), Campus de Apucarana. In this perspective, our research was guided by the following guiding question: What are the features and relationships between algebraic, geometric and arithmetic thinking along with activities developed in the CAS Window? Assuming that the dynamics of the course is conducive to the occurrence of interactions related to the study and investigation of the relationships between algebraic, geometric and arithmetic thinking, we designed a qualitative, descriptive and interpretive research. The Corpus of the research consisted of 888 productions of the course participants developed exclusively in the Cas Window of GeoGebra, the productions were collected through the data collection tool of the MaxQda software. Coding and data analysis were administered using MaxQda software and Textual Discursive Analysis (ATD) from the perspective of Morares and Galliazzi (2016).