
05857507
j
2011b.00707
Tennant, Geoff
$3a+2a=5a$ without apples: The algebra as object analogy.
Math. Sch. (Leicester) 38, No. 1, 46 (2009).
2009
Mathematical Association (MA), Leicester
EN
H20
concept formation
elementary algebra
variables
terms
place holders
numerical values
exploring patterns
simplifying
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.