Banca de DEFESA: ISAURA CARDOSO LINDE

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : ISAURA CARDOSO LINDE
DATE: 02/12/2024
TIME: 18:00
LOCAL: Auditório 1 do Campus Canoas e https://meet.google.com/ues-nkbi-qkc
TITLE:

APRENDER E ENSINAR GEOMETRIA DE MODO INTEGRADO À ARITMÉTICA E À ÁLGEBRA: POSSIBILIDADE PARA A CONSTRUÇÃO DE GENERALIZAÇÕES EM MATEMÁTICA

KEY WORDS:

Construction of Generalizations; Integration of Geometry, Arithmetic, and
Algebra; Didactic Sequence; Study of Convex Polygons.

PAGES: 192
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This dissertation analyzes the effectiveness of a didactic sequence that integrates
concepts of arithmetic, geometry, and algebra for studying convex polygons and the
relationships associated with their internal and external angles, offering opportunities for
mathematical generalization. The sequence was designed to start with simple tasks and
progressively increase in difficulty, aiming to create a participatory and exploratory

learning environment that fosters competencies such as critical thinking, problem-
solving, and autonomy. This sequence was implemented in an 8th-grade class at a

public school in the municipality of Canoas-RS, where the researcher works as a
teacher. The proposal encouraged using MDF-based concrete materials produced by
the students with the assistance of GeoGebra and a laser cutter, providing an
experimental and interactive approach to explore geometric concepts, arithmetic
properties, and algebraic formalizations. Beyond investigating students' abilities to
construct generalizations and explore mathematical relationships, this study aimed to
evaluate the impact of this methodology on student engagement and motivation,
encouraging comprehension of mathematical properties through experimentation and
critical reflection. This qualitative research analyzed data collected through observations
and student records. The use of exploratory activities and the integration of different
areas of mathematical knowledge proved to be promising strategies for enriching
teaching and learning processes and promoting competencies outlined by the BNCC,
such as critical thinking and problem-solving.

COMMITTEE MEMBERS:
Externa à Instituição - RAQUEL MILANI - USP
Presidente - CARINA LOUREIRO ANDRADE
Interno - NICOLAU MATIEL LUNARDI DIEHL