@article {MATHEDUC.06312016,
author = {O'Reilly, Declan},
title = {No sign of the numbers!},
year = {2014},
journal = {Mathematics in School},
volume = {43},
number = {1},
issn = {0305-7259},
pages = {2-3},
publisher = {Mathematical Association (MA), Leicester},
abstract = {From the text: {\it D. K\"uchemann} [``Positive and negative numbers", in: K. Hart (ed.), Children's understanding of mathematics: 11--16. London: John Murray. 82--87 (1981)] has written about the difficulties of creating models for integers that are consistent across the four arithmetic operations. He advocates adopting a model``in which the integers are regarded as discrete entities or objects, constructed in a way that the positive integers cancel out the negative integers." My aim in this paper has been to put forward such a model. In doing so, I have adopted a shorthand notation, replacing $^+1$ by ``$+$' and $^-1$ by `$-$'. Of course, in doing so, I can be accused of abusing standard notation. I acknowledge this. However, I would point out that almost all textbooks do something similar; instead, of writing $^-3$, they write $-3$ and so on. In other words, they leave out the signs whereas I leave out the numbers!},
msc2010 = {F40xx},
identifier = {2014d.00511},
}