|
Reverse Thinking
Make the Biggest and Smallest Numbers
Introduction
Tuyet's mirror image of the labelling of the columns leads her
to believe that it is the rightmost column which determines the
size of the decimal number, in the same way that the leftmost column
does for whole numbers.
Comments: Text in italics
Interviewer: Text in red
Tuyet: Text other colour |
Interviewer:
I have a number that starts 3 point something
something and you get to choose the rest of the number. |
Interviewer:
Here are the cards to choose from marked 0,1,2,3,4,5,6,7,8
and 9. I'm going to ask you to make the biggest number that
you can by choosing any two of these cards.
Tuyet:
I'll pick the 9 and then
the 8. |
Tuyet makes 3.89
Interviewer:
OK What were you thinking when you made this
choice?
Tuyet:
9 hundreds and 8 tens is the most I can
make.
Interviewer:
If I swapped the 8 and the 9 around, would
I make it bigger or smaller?
Tuyet:
Smaller, as there'd only be 8 hundreds.
Interviewer:
OK, let's put those cards back... |
Interviewer:
...and could you make another number, this
time as small as you can?
Tuyet:
I'll need the zero and the one. |
Tuyet makes 3.10
Interviewer:
OK, so this time you've got...
Tuyet:
no hundreds and only one ten
Interviewer:
So if I swapped the 0 and the 1 around would
it get bigger or smaller?
Tuyet:
Bigger, because swapping would make one
hundred. Now there are no hundreds, just a ten.
|
|