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2. Proportional Reasoning


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Last updated 26 October 2012 15:30 by NZTecAdmin

Proportional, or multiplicative, thinking requires learners to decide how many times bigger or smaller one quantity is than another. A quantity involves a number and a referent (e.g. 42 kilograms).

An example that illustrates multiplicative thinking versus additive thinking is comparing monetary returns: Compare $2 investment which increases to $8 with a $12 investment increasing to $18. An additive thinker will note that the increase in both cases is $6, so the return is the same in both cases. Thinking multiplicatively though, the $2 investment has increased by a factor of 4 times where as the $12 increased by a factor of 1.5 times. So the return rate for the $2 investment is substantially higher.

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