id: 05857507
dt: j
an: 2011b.00707
au: Tennant, Geoff
ti: $3a+2a=5a$ without apples: The algebra as object analogy.
so: Math. Sch. (Leicester) 38, No. 1, 4-6 (2009).
py: 2009
pu: Mathematical Association (MA), Leicester
la: EN
cc: H20
ut: concept formation; elementary algebra; variables; terms; place holders;
numerical values; exploring patterns; simplifying
ci:
li:
ab: 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.
rv: