[Maths-Education] Not just Ratio and Proportion

[David Pimm]

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Does it make any difference whether it is multiplication of an irrational
or multiplication by an irational?

What if the diameter of Dave Hewitt and Dick Tahta's circle were, in fact,
root(2) say, a very well-behaved number when compared with (the) one via
the process of continued subtraction in turn (the 'in turn' sounds so
English, so ordered, so deferentially polite).

Pi, on the other hand, is much more recalcitrant and less amenable to
showing something like:

	root(2) x root(3) = root(6).
David Pimm
Dept of Secondary Education,
Faculty of Education,
University of Alberta,
Edmonton, AB
Canada T6G 2G5

David.Pimm@ualberta.ca

tel: (780)-492-0150
sec: (780)-492-0148
fax: (780)-492-0162
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Does it make any difference whether it is multiplication
<bold>of</bold> an irrational or multiplication <bold>by</bold> an
irational?


What if the diameter of Dave Hewitt and Dick Tahta's circle were, in
fact, root(2) say, a very well-behaved number when compared with (the)
one via the process of continued subtraction in turn (the 'in turn'
sounds so English, so ordered, so deferentially polite). 


Pi, on the other hand, is much more recalcitrant and less amenable to
showing something like:


	root(2) x root(3) = root(6). 

David Pimm

Dept of Secondary Education,

Faculty of Education,

University of Alberta,

Edmonton, AB

Canada T6G 2G5


David.Pimm@ualberta.ca


tel: (780)-492-0150

sec: (780)-492-0148

fax: (780)-492-0162

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