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Preliminary Remarks on the Relationship of the Principles of Teaching Arithmetic to the Early History of Mathematics

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Abstraction and Representation

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 175))

Abstract

We often take the ordinary for granted. It is, therefore, sometimes useful to take a look at historical models in order to gain a better understanding of one’s own position. Heinrich Pestalozzi, the eminent educational reformer of the early 19th century, introduced his pupils to multiplication by means of a table which he called the table of units (cf. Fig. 1). With this table in mind his pupils had to repeat in unison the lines of the multiplication table up to ten. Because of his enthusiasm for Pestalozzi’s educational ideas Baron von Türk, legal advisor to the Duke of Mecklenburg-Strelitz, gave up his position and his secure income in order to dedicate himself entirely to education.1 In his writings we find a vivid description of how Pestalozzi’s table of units could be used.

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Damerow, P. (1996). Preliminary Remarks on the Relationship of the Principles of Teaching Arithmetic to the Early History of Mathematics. In: Abstraction and Representation. Boston Studies in the Philosophy of Science, vol 175. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8624-5_6

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  • DOI: https://doi.org/10.1007/978-94-015-8624-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4644-4

  • Online ISBN: 978-94-015-8624-5

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