Early multiplication and division

There are two aspect in multiplication. 

An efficient way of adding sets of equal numbers of objects

(a) 3 sets of 2, or 3 twos

(b) Sets of 2 put out 3 times

Magnification, often associated with enlargement or scale.

(a) 3 times as many as 2 ( 3 times 2)

(b) A set of 2 trebled   

(Biggs & Sutton 1983, p.52)

Division is the reverse operation of multiplication
There are two aspects in division. The two aspects are sharing and subtraction.


"In sharing, a collection of objects (or a quantity) is divided into a given number of equal sets (or parts): objects in as et are then counted. The subtraction aspect is sometimes called the grouping or measuring aspect" (Biggs & Sutton 1983, p. 62).


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