The notion of carried-number, between the history of calculating instruments and arithmetic.

Abstract : This paper is based on a doctoral thesis about studying calculating instruments and deals with the very familiar primary school notion: the carried-number. We develop this notion in three ways: the history of calculating instruments and their mechanisation; a mathematical study of this notion within the place-value system; and an analysis of experimental data from an investigation of student and teacher understanding. For many students and teachers the notion of carried-number appears to be undeveloped mathematically.
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Caroline Poisard. The notion of carried-number, between the history of calculating instruments and arithmetic.. Mathematics Education Group of Australasia (MERGA) Annual Conference, Jul 2006, Canberra, Australia. pp.416-423. ⟨halshs-00725819⟩

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