The Cuisenaire Gattegno Method Of Teaching Mathematics
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As an understanding of vertical notation is an important step in the learning of any routine process, it would thus be best introduced just before the procedure is given in its more general form. This, of course, does not mean that the fixed processes in all operations should be introduced simultaneously or at any particular stage. Although the course is a single entity and continues without pause whether the numbers being studied are under 10, under 100, or under 1000, its various strands must at some point be brought together. Once pupils understand the operation concerned and have automatic response with the basic number facts, these strands should be tied together by means of a process that can be applied to all cases. It would appear that the processes for addition and subtraction can be introduced well ahead of those for multiplication and division. Teachers must decide this for themselves, but first pupils should be allowed to set out vertically the informal methods expressed previously in horizontal notation.
Published on Nov 18, 2009