The cross-staff (1603) as a mathematical instrument for the study of measures in the math teachers training
Abstract
Among the several studies that research the insertion of the history of mathematics in the teachers training from an updated historiographical perspective, we find a theoretical current that proposes the construction of an interface between history and teaching of mathematics through the study of historical mathematical instruments. Among the devices that possess mathematical knowledge incorporated in its manufacture and its use, there is the cross-staff, a nautical and astronomical instrument very used between the fifteenth and seventeenth centuries, which is inserted in the document Chrnographia, Reportorio dos Tempos…, from 1603. This article intends to present some didactic potentialities for use in teacher training, based on the Teaching Guiding Activity in the study on measures. In this way, the concepts related to the unit of measurement, such as the inch, can be studied when constructing or manipulating the cross-staff. This happens mainly due to the construction of mathematical knowledge that are mobilized in these practices, causing the teacher rethink the knowledge to then learn and resignify the same ones.
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