Multiplication and division structures
 

The repeated aggregation structure for multiplication

Teaching Point

The key language to be developed in the repeated aggregation structure of multiplication includes: so many lots (sets) of so many, how many (how much) altogether, per, each.

Repeated aggregation (or repeated addition) is the elementary idea that multiplication means ‘so many sets of’ or ‘so many lots of’. If I have ’10 sets of 3 counters’ then the question, ‘how many counters altogether?’ is associated with the multiplication, 3 x 10 see Figure 8.

Multiplication as repeated aggregation, 3 x 10

This structure is simply an extension of the aggregation structure of addition, with, for example, the repeated addition, 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3, becoming the multiplication, 3 x 10.