This work develops a descriptive qualitative research around a practice
performed in a public school, located in the city of Castanhal-PA. The research
subjects are students of the eighth grade of elementary school. Its general objective
is to analyze possible contributions to learning about the study of plane geometry
from problem solving. For this purpose it appropriates the following specific
objectives: discuss the concepts of perimeter, area measures of length; identify
evidence of understanding of concepts presented from the developed practice;
Conduct feedback to identify learning evidence from students' statements. It was
possible to realize the relevance of the study of geometry from problem solving to the
development of the student's deductive reasoning, since it develops the investigative
capacity, allows the student to feel able to do and speak using concepts of
mathematics. Studies also point out that it is essential that teachers make reflections
and adopt an exploratory posture during their classes, redirecting some activities,
diversifying their teaching methodologies, detaching themselves from conventional
classes. Equally, the teacher must propose new teaching strategies in order to bring
the scientific content closer to the student's daily life, and allow him to associate what
he has learned with routine situations in his life outside school.
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