Banca de DEFESA: MARCELO SILVA DE ALMEIDA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : MARCELO SILVA DE ALMEIDA
DATE: 10/07/2026
TIME: 14:00
LOCAL: Video
TITLE:

CONSTRUINDO FUNÇÕES INVERSAS A PARTIR DA ABORDAGEM GRÁFICA: PERSPECTIVA INOVADORA PARA O ENSINO DE FUNÇÕES

KEY WORDS:

Mathematics Education; Inverse Function; Multipaper Format.

PAGES: 146
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This dissertation, developed within the scope of PROFMAT/UFOB, proposes an innovative approach to the teaching of functions, starting from the premise that meaningful learning must transcend mere algebraic manipulation and abstract formalism. Motivated by the concerning educational reality in Bahia, where data from IEDE (2023) indicate that only a tiny fraction of students achieve an adequate level of proficiency in Mathematics, this research investigates how graphical visualization can act as a catalyst for understanding complex concepts. Grounded in the epistemology of Bento de Jesus Caraça, who advocates for not confusing a function with its defining instrument, and on Sergio Lorenzato’s assumptions regarding "seeing with one's hands", this work seeks to promote the transition from the concrete to the abstract through direct experimentation. Methodologically, a qualitative approach of an interpretive and descriptive nature was adopted, structured in a multipaper format, analyzing the engagement and autonomous concept construction of public school students. Article 1 discusses the relevance of using manipulatives in Mathematics teaching, grounded in a literature review and a state-of-the-art mapping conducted across the Brazilian Digital Library of Theses and Dissertations (BDTD), Google Scholar, and the PROFMAT repository, alongside a critical analysis of contemporary textbooks, highlighting the gaps that justify the need for new methodological approaches. Article 2 presents the report and analysis of the application of an innovative manipulative resource with high school students from the public school system of the state of Bahia. The essence of the activity consisted of student agency through the creation and handling of a low-cost material, composed of graph paper and acetate sheets, used for the visual and dynamic exploration of properties such as injectivity, surjectivity, and the construction of inverse functions. The study distinguishes itself from previous research by prioritizing geometric perception as the foundation for function inversion, aiming to prepare students not only for the rigor of Higher Education but also for the challenges of interpreting real-world phenomena demanded by evaluations such as PISA. It is concluded that student agency and the stimulation of visual perception result in a more robust and intuitive appropriation of mathematical knowledge, transforming students into true co-authors of their learning process.

COMMITTEE MEMBERS:
Externo à Instituição - HIURI FELIPE SANTOS DOS REIS - UFG
Presidente - 3042792 - EDWIN OSWALDO SALINAS REYES
Interna - 1230282 - LURYANE FERREIRA DE SOUZA