Etnomatemática: geometria sona, ensinando máximo divisor comum para alunos da educação de jovens e adultos

Abstract

The present work had as main objective to create possibilities of learning of the calculation of the Maximum Common Divider (MDC) in the Education of Young and Adults (EJA) through the SONA geometry of the COKWE tribe of Southern Africa, valuing the ethnomathematics of that tribe. The methodology used was the creation of a didactic sequence where it was presented as a class using SONA geometry, applied in a class of the EJA VI stage at the Professor José Leandro Deusdará School in the city of São Raimundo Nonato (PI). The students constructed recreations based on the didactic sequence, associating between the SONA Method and the Euclidean Method, identifying the mathematical elements of the drawings and consequently the power to discover new knowledge. These recreations are found throughout eastern Angola, northwestern Zambia and surrounding areas of Congo / Zaire. These drawings, in spite of a difficulty in the execution, have a particular beauty and can teach many mathematical ideas: axial symmetry, rotational symmetry, double axial symmetry, central symmetry, fast sum of consecutive natural numbers, sum of odd numbers, arithmetic progression, algorithm, but Focus of this was the calculation of the MDC. After the application the students were submitted to a questionnaire with the purpose of evaluating if the method had effects and if it was accepted by them. The results indicated that despite the difficulties that some had in the execution of the drawings, it was fun and easy to make the assimilations between the SONA Method and the Euclidean Method.