What did the students learn from mathematics textbooks? The case of L. F. Magnitskii’s {\it Arithmetic}. (English)

Oesterle, Susan (ed.) et al., Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education “Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol. 3. [s. l.]: International Group for the Psychology of Mathematics Education (ISBN 978-0-86491-360-9/set; 978-0-86491-363-0/v.3). 113-120 (2014).

Summary: We investigate the {\it Arithmetic} authored by L. F. Magnitskii (1669‒1739) especially focusing on the methods of teaching and learning represented in this arithmetical manual that remained highly influential among the Russian educators for more than a century after its publication in 1703. We suggest that Magnitskii, even though drawing upon arithmetical manuals published in Western Europe in the 17th century, introduced a number of new elements that can be properly interpreted only if one takes into consideration his didactical agenda.