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Didactics of mathematics --- anno 500-1499 --- History of education and educational sciences

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Geometry [Algebraic ] --- Middle Ages

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This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.

Mathematics --- Study and teaching. --- Mathematics. --- Mathematics Education. --- Learning & Instruction. --- Math --- Science --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Learning process --- Comprehension --- Education

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Du poids des denrées à la superficie des champs, de la valeur des monnaies aux dimensions des corps, la mesure occupe une place centrale dans l'univers médiéval pour lequel « tout est proportion ». C'est donc à ce thème majeur et à son actualité dans les recherches en cours que le XLIIIe Congrès de la Société des historiens médiévistes de l'Enseignement supérieur public, réuni à Tours en juin 2012, a choisi de se consacrer. Vingt-cinq communications issues de ces échanges en révèlent la dimension plurielle, recouvrant par l'exemple les domaines multiples où s'exerce la quantification : économie, démographie et sociologie, culture et science, cartographie et géométrie, danse ou alimentation. Les voies d'entrée dans ces domaines ne sont pas moins nombreuses : métrologie, numismatique, lexicologie, archivistique, codicologie, archéologie, etc. Ces approches croisées donnent ainsi à relire les méthodes mises en œuvre, à prendre aussi la mesure du travail des historiens et des chantiers à venir.

History --- Medieval & Renaissance Studies --- mesure --- marchand --- cartographie --- science médiévale