Banca de DEFESA: CASSIO VOLPATO SELBACH

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : CASSIO VOLPATO SELBACH
DATE: 27/08/2025
TIME: 18:00
LOCAL: Instituto Federal do Rio Grande do Sul - Campus Canoas
TITLE:

A STUDY ON ABSTRACTION APPLIED TO THE TEACHING OF ALGEBRA IN ELEMENTARY EDUCATION: a proposal with problems and sequences

KEY WORDS:

algebra, generalization, sequence, abstraction

PAGES: 98
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This is a work on abstraction. It is divided into two parts. The first part is theoretical: we want to understand abstraction from a biological, psychological, and metaphysical perspective, as we are interested in providing as complete an answer as possible to the questions related to the topic of abstraction. We aim to answer the questions: "What is the definition of the concept 'abstraction'?", "What is the metaphysical nature of an abstract concept?", "What is abstraction?", "What are the types of abstraction and what types of concepts do they generate?", "How does the process of abstraction occur?", "What are the levels of abstract thought?", and "What are the human conditions for the process of abstraction to occur?" To answer these questions, we draw particularly on the studies of Aristotle, Steven Pinker, and Jean Piaget.

The second part investigates, with a didactic interest, the processes of mathematics, specifically algebra, related to the teaching and learning of abstraction. We applied the knowledge gained in the theoretical part to the study of algebraic abstraction. We conducted research to determine whether it is possible to develop the concepts of algebraic abstraction through problem-solving methodology. To this end, we organized four classes, where students will be asked to solve arithmetic and algebraic problems, as well as a fifth class for assessment. Data will be collected through this assessment and through observations made in the four classes. These observations will be conducted using action research elements.

COMMITTEE MEMBERS:
Interna - NUBIA LUCIA CARDOSO GUIMARAES
Externo ao Programa - ADRIANO ARMANDO DO AMARANTE
Externa à Instituição - BÁRBARA SEELIG POGORELSKY - UFRGS