EQUIDIFFERENCE AND PROPORTION: WHAT ISTHERELATIONOF THESE CONTENTS TO THE TEACHING OF ALGEBRA IN ELEMENTARY EDUCATION IN THE END OF THE 19^TH CENTURY AND BEGINING OF THE 20^TH CENTURY?

Abstract

This text problematizes the relations between the teaching of equidifference and proportion with other contents of the elementary education. From the theoretical and methodological basis of cultural history, textbooks from the late 19th and early 20th centuries and two American reports were analyzed. The relation of these contents with progressions and algebraic knowledge was observed, without these being established as a preparation for the approach to Algebra in secondary education.

Keywords:
algebra teaching; history of mathematics education; equation’s solving; textbook