The geometric quadrant as a trigger of learning in the interface between history and teaching

Abstract:

The aim of this article is to investigate the movement of concepts in the learning of mathematics during a didactic activity based on the historical context of the geometric quadrant as a measurement instrument. Based on an interface between history and teaching of mathematics and on the principles of a Teaching Guidance Activity, the results were obtained in a certain trigger situation for learning as a way of organizing the teaching and learning of a 9th grade class, which can explain the process of signification of mathematical concepts involved in the work of the 16th-century mathematician and other aspects of that time, such as the great sea voyages, the modes of material and intellectual production, military practices and measuring instruments. The developed actions allowed for integration between history and teaching, in the movement of mathematical concepts, such as reasoning proportion, similarity of figures, oblique line, geometric figures and measurements.

Keywords:
Mathematics teaching; History of mathematics; Measuring instrument; Teaching guidance activity