The Cuisenaire Gattegno Method Of Teaching Mathematics

10 and then halve the result. Pupils soon find that this can easily be done both with odd and even numbers: 5 × 18 = 5 × 17 = 5 × 33 =

of 10 × 18 = of 180 = 90 of 10 × 17 = of 170 = 85 of 10 × 33 = of 330 = 165

Owing to complications caused by remainders it is wise not to introduce division by 5 using this method. However, the alternative method of multiplying by 5 directly should be known: 5 × 33 = 5 × 30 + 5 × 3 = 150 + 15 = 165

Multiplying By 4, 8, 16, 32 And 64 The pupil’s skill in doubling may now be applied to isolated multiplications by 4 (2 × 2), 8 (2 × 2 × 2), 16 (24), 32 (25) and 64 (26). The pink rod in any tower can always be replaced by a red-red cross, thus: 4 × 73 = 73 × 2 × 2 = 146 × 2 = 292 Similarly, the tan rod may be replaced by a red ‘three’, allowing the answer to 8 × 67 to be found in the following way:

228

The Cuisenaire Gattegno method of teaching Mathematics
The Cuisenaire Gattegno method of teaching Mathematics

The Cuisenaire Gattegno method of teaching Mathematics