\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2011b.00707}
\itemau{Tennant, Geoff}
\itemti{$3a+2a=5a$ without apples: The algebra as object analogy.}
\itemso{Math. Sch. (Leicester) 38, No. 1, 4-6 (2009).}
\itemab
From the introduction: In this article I argue that there are a whole number of problems with using the \lq algebra as object\rq\ analogy, and give some alternative methods of teaching the simplification of algebraic expressions. To do this, first I give an example of what I consider to be a \lq good\rq\ analogy, that of merits / demerits for teaching negative number arithmetic, explain why I consider algebra as object to be a poor analogy for teaching purposes, and then look at a range of alternative ways of addressing this crucial point.
\itemrv{~}
\itemcc{H20}
\itemut{concept formation; elementary algebra; variables; terms; place holders; numerical values; exploring patterns; simplifying}
\itemli{}
\end