Introduction
This interview is based on the game "Hidden
Numbers". Maria answers correctly when she can see a different
number of "cents". Her analogy to money does not help her choose
between 5.38 and 5.3824.
Comments: Text in italics
Interviewer: Text in red
Maria: Text other colour
Interviewer:
In this game, you have two mystery numbers and try to guess which is larger. |
Interviewer:
See the decimal point in both numbers?
Maria:
Yes. I will need to see behind the front
doors first.
|
Maria:
They're the same, so I'll check the next
doors after the point.
|
Maria:
Well that's not so hard because it's approximately
3 dollars fifty and 3 dollars twenty, so the top number must be
bigger.
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Maria:
Great!!!
|
Interviewer:
So you'll have another go?
Maria:
Yes...I'll just check the first numbers..
|
Maria:
So, I'll need to look behind the next doors
like before.
|
Maria:
Ummm... it still could be either, so I'll
need to look at both these.
|
Maria:
The two numbers seem to be the same, but
that isn't one of the choices, so I don't know what to do.
Interviewer:
Do you want to open any more doors?
Maria:
OK...these last two doors.
|
Interviewer:
What do you think now?
Maria:
Do I have to choose one of them? I don't
know what to do when they're the same at the start. I'm not sure
if the 2 and the 4 at the end makes it bigger or smaller.
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Interviewer:
What if I changed the problem to 4.1 and 4.1629?
Maria:
Are there any doors to open?
Interviewer:
No, they are all open. Which one would be
the bigger number now?
Maria:
Well the top is $4 and 10 cents, and the
bottom one is $4 and 16 cents, so it's bigger, the bottom number.
Interviewer:
Good!
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