Abstract
This paper analyzes the content of Arithmetic (1632), a manuscript of commercial arithmetic written by the Greek-Cypriot Petros Argyros . Arithmetic was probably influenced by the first Greek printed arithmetic Logariastiki (Glyzonios 1569), a work with a great deal of similarity to the Italian Abaci . Consequently, the paper devotes attention on the one hand to the Abaci tradition and on the other hand to the early formative stages of Greek and Cypriot mathematics education . The paper’s main aim is to draw attention to the analysis of patterns presented in the book. Recreational mathematics was typical for the Abaci tradition and analysis of these problems raises questions about their history and the approaches that were used centuries ago. In the authors’ opinion, the very existence of such problems, which presuppose analytic thought and reasoning, compels us to verify the widespread conception of the nature of Abaci mathematics and to define it with greater precision.
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The present research is a part of a research project of the foundation A.G.Leventis.
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Kiliari, E., Gagatsis, A., Papadaki, I. (2018). Arithmetic Patterns in the Arithmetic of Petros Argyros. In: Furinghetti, F., Karp, A. (eds) Researching the History of Mathematics Education. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-68294-5_7
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