Atividades sobre progressões aritméticas através do reconhecimento de padrões
Abstract
The importance of the development of sequences that are arithmetic progressions in the high
school was observed in learning situations which the students could investigate and identify
patterns in numerical and geometric sequences, building the algebraic language to describe
them. This work contributes for the student to build the idea of algebra as language to express
irregularities, that is one of the proposed issues by the National Curricular Parameters (PCNs)
for the math teaching in the fourth cycle of high school, which contrasts, nowadays, with the
scarcity of activities involving observed arithmetic progressions in at least twelve years of
experience as a math teacher in these cycles. The elaboration of a teaching product, in the way
of activity sheets that, through the recognizing of numerical and geometric patterns, takes the
student to the comprehension of the concept of arithmetic progression which could be tested
through the application of these activity sheets in two classrooms of the ninth year of high
school in a public municipally school. The obtained results of these applications were
analyzed and compared to the previous analyzes in raised hypothesis during the elaboration of
the activity sheets, using, as investigation methodology, the Didactic Engineering. The
students did the activities in groups of two or three, were well motivated and participated as
principal character during the application of all steps proposed in the paper, which guaranteed
the good development of the activity. In according to the evaluation learning, the students
reaching the proposed goals and noting that the produced teaching material works. It is
believed that the elaborated material can be useful for other teachers who want to develop, in
their classes, arithmetic progressions through the recognizing of patterns, adapting it to the
reality of their classrooms. This work contributes hugely to the author, bringing a big
professional evolution that starts with the issue choice, continued in the elaboration of the
didactic sequence and the application of the activity sheets and finished with the reflection of
what have been done and is registered here.