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Article ID: CBB835911573

Fibonacci and the Abacus Schools in Italy. Mathematical Conceptual Streams - Education and its Changing Relationship with Society (2015)

Pisano, Raffaele (Author)
Bussotti, Paolo (Author)

Almagest
Volume: 6
Issue: 2
Pages: 126-164

URI: http://www.brepolsonline.net/doi/abs/10.1484/J.ALMAGEST.5.109664

DOI: 10.1484/J.ALMAGEST.5.109664

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Numerals Mathematics education Mathematics Abacus school Education Medieval 12th century 16th century Italy Leonardo da Pisa

In this paper we present the relations between mathematics and mathematics education in Italy between the 12th and the 16th century. Since the subject is extremely wide, we will focus on two case-studies to point out some relevant aspects of this phenomenon: 1) Fibonacci’s studies (12th-13th century); 2) Abacus schools. More particularly, Fibonacci, probably the greatest European mathematician of the Middle Ages, made the calculations with Hindu-Arabic digits widely spread in Europe; Abacus schools were also based on the teaching of the calculation with Hindu-Arabic digits. These case-studies are significant for understanding the connections between science, science education and the development of science within Western civilization. We think that the knowledge of such significant relations can be useful for the scholars who are nowadays engaged in mathematics education and in the research field of science-society relations. Finally, we attempt to outline the interaction between mathematics education and advanced mathematics in that period, focusing on the figure of Leonardo Pisano (c. 1170-c.1250), called Fibonacci, who played an influential role both in mathematics education and in advanced mathematics.

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