Titlebook: Let History into the Mathematics Classroom; Évelyne Barbin,Jean-Paul Guichard,Gérard Hamon Book 2018 Springer International Publishing AG

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Dividing a Triangle in the Middle Ages: An Example from Latin Works on Practical Geometry,eveloped in numerous mathematical traditions since Mesopotamian times. In particular, the great geometers of ancient Greece such as Euclid or Hero of Alexandria each tackled it in their own way. Many other developments were achieved in Islamic countries both in the East and West. Based on extracts f

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A Square in a Triangle,escribes the calculation of the side of an equilateral triangle inscribed in a square of side 4. This is followed by the calculation of the side of a square inside an equilateral triangle of side 8. The three other texts, from the nineteenth century, show algebraic, geometric and analytical techniqu

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,Indian Calculation: The Rule of Three—Quite a Story …,he origin of the name is also uncertain: some see it in the fact that three stages are needed to write out the reasoning for the proportionality using the unitary method, others see the fact that three quantities are known and the fourth is to be found. In classes of students from 12 to 14 years of

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The Arithmetic of Juan de Ortega: Equations Without Algebra,parate us from his writing lead us to frequent misinterpretations due to the old fashioned style, words and contents. For this reason, it was worth reading by high school students under teacher’s guidance. They would discover old methods of multiplying, like the . or others, hardly understandable be

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The Congruence Machine of the Carissan Brothers,lving of various problems: questions about prime numbers, cryptography, etc. The problem here is the factorisation of large numbers, which became vital for code breaking in the public interest (Delahaye, .). The idea comes from one of Fermat’s letters to Mersenne in which Fermat explains a method li

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,A Graphical Approach to Euler’s Method,aticians have imagined numerous approaches since the seventeenth century. Alongside integration by quadratures and the series method, we can notably quote the polygonal method formalised by Euler in 1768. He directly used Leibniz’s vision of curves as polygons made up of segments of infinitely tiny

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