Banca de DEFESA: PAULO ROBERTO MARTINS BERNDT

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : PAULO ROBERTO MARTINS BERNDT
DATE: 13/06/2025
TIME: 18:00
LOCAL: IFRS Campus Canoas
TITLE:

STUDY OF FUNCTIONS BY MEANS OF GEOMETRIC CONSTRUCTIONS IN THE GEOGEBRA SOFTWARE

KEY WORDS:

Geometry. Functions. GeoGebra. Dynamic Geometry.

PAGES: 180
BIG AREA: Ciências Humanas
AREA: Educação
SUBÁREA: Ensino-Aprendizagem
SPECIALTY: Tecnologia Educacional
SUMMARY:

The present proposal aims to integrate the teaching of Real Functions of real variables with Geometry and Trigonometry, articulating different representations of functional relations based on the resolution of geometric problems. The choice of this theme arose from the observation of significant gaps in the geometric knowledge of students entering integrated technical courses at the Federal Institute of Education, Science and Technology of Rio Grande do Sul (IFRS) – Campus Feliz.  To address this difficulty, we propose to bring forward the teaching of geometric content from the first year of the course, allowing enough time for the development and consolidation of this knowledge. In this context, we developed a didactic proposal aimed at integrated high school students, with the support of GeoGebra software as a pedagogical resource.  The main objective is to provide students with learning situations that favor the construction of knowledge about Functions based on the study of areas of plane figures. We also intend to stimulate the perception of the pedagogical potential in the integration of Geometry and Function content through an unconventional approach that values intuition and experimentation.  Using GeoGebra allows the creation of dynamic graphs, promoting a new way of understanding and relating graphic and algebraic representations. By observing these representations in motion, students have the opportunity to visualize transformations and identify invariant properties in geometric constructions. Instead of analyzing a single static figure, they come into contact with a family of infinite figures generated by successive positions throughout the movement, which can favor the formulation of conjectures and the construction of deductive arguments. 

COMMITTEE MEMBERS:
Interna - NUBIA LUCIA CARDOSO GUIMARAES
Interna - JULIANA SANCHES
Interno - BRUNO BROGNI UGGIONI
Externo à Instituição - ALESSANDRO BAGATINI