It is probably time to gather all these discoveries together hopefully bringing order to chaos.
"What kinds of Descriptive numbers have we found so far?"
Further discussion might establish these types:
"Will all numbers be SENSIBLE, QUIET or NOISY?"
"No because some don't work."
Discussion should centre on dividing the whole numbers into two categories: DESCRIPTIVE and NOT-DESCRIPTIVE with subdivision of DESCRIPTIVE into the three types SENSIBLE, QUIET and NOISY.
"What are we going to call 31?"
"Three 1's. That's a lie. Call it a LYING number"
"And so what about 311?"
"It doesn't make sense: three 1's and one what? It's a DAFT number"
"Does this take care of all numbers. Five types?"
At this point the class should be asked, in groups, to classify all the numbers from 1 to 50 say, under the headings: SENSIBLE, QUIET, NOISY, LYING and DAFT
Here is a table of results:
"I wouldn't trust these numbers! They're a crowd of liars!! Only one sensible number among them. At least there are no noisy ones. Mind you there are a few daft ones and the same number of quiet ones."
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