Banca de DEFESA: HELIANE SANTOS PENHA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : HELIANE SANTOS PENHA
DATE: 13/08/2021
TIME: 16:00
LOCAL: meet.google.com/wkb-pkhj-wca
TITLE:

Resolution of Systems of Linear Equations and Their Applicability in High School

KEY WORDS:

Linear Systems; Existence and Uniqueness of Solutions of Linear Systems; Direct and Iterative Methods; Problem Solving; High School.

PAGES: 140
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Análise Numérica
SUMMARY:

This work approaches a perspective for solving linear systems and its applicability in high school, where emphasis is given to the study of the existence and uniqueness of solutions of linear systems as well as analytical and numerical techniques to find solutions, if any, through methods such as: Gaussian elimination, LU factorization, Jacobi method, Gauss-Seidel method. It will also analyze the most common techniques for solving linear systems in high schools. Thus, this work aims to point out the importance of teaching linear systems in high school and to contribute towards making this mathematical content more meaningful to students. The main idea defended in this paper is that when exposed to challenging situations, students feel the need to learn new mathematical techniques and tools, which provide the mastery of skills and competencies that can be applied to everyday situations. The need to learn a new content should come from the students themselves, as soon as they are faced with a situation that challenges and motivates them. Thus, this is a proposal for the teaching of systems of linear equations in which topics contemplated in the Common National Curricular Base (BNCC) of high school are presented as well as complement this subject with other analytical and numerical methods, so that the student has a broader view of the range of methods and problems that can be contemplated. For this, a lesson plan is proposed in which the main theoretical tools are presented, as well as the solution of contextualized problems through different analytical and numerical techniques.

BANKING MEMBERS:
Presidente - 1714705 - JUAN CARLOS ZAVALETA AGUILAR
Interno - 1758734 - JOSE ANGEL DAVALOS CHUQUIPOMA
Externo à Instituição - SANTOS ALBERTO ENRIQUEZ REMIGIO - UFU