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\iteman{ZMATH 2001a.00642}
\itemau{Carraher, David; Brizuela, B\'arbara M.; Schliemann, Anal\'ucia D.}
\itemti{Bringing out the algebraic character of arithmetic: instantiating variables in addition and subtraction.}
\itemso{Nakahara, Tadao et al., 24th Conference of the International Group for the Psychology of Mathematics Education (PME 24). Vol. 2. ,. 145-152 (2000).}
\itemab
We report findings from a one-year teaching experiment designed to document and help nurture the early algebraic development of third grade students. We focus on an arithmetic problem that fixes some measures but allows more than one solution set. We highlight how children dealt with the fact that the quantitative relations referred to particular measures on one hand (and in that sense were arithmetical), and were meant to express general properties not bound to particular values, on the other (and in this sense were algebraic). We look at the role of instantiated variables in this tension and transition between the particular and the general.
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\itemcc{H22}
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