Introduction
Brad knows the place value column names and reads numbers conventionally,
digit by digit. However, when asked to explain 4.26 he reveals that
he thinks both the 2 and the 6 are in a fat tenths "column". Initial
zeros indicate which of his fat "columns" the decimal digits belong
to.
Comments: Text in italics
Interviewer: Text in red
Brad: Text other colour
Interviewer:
Could you please read out the numbers on these cards? |
Brad:
point 4
Correct. Many teachers encourage beginners to read this as four
tenths.
|
Brad:
nine point seven
Correct, either this or nine and seven tenths.
|
Brad:
point one six three
|
Brad:
Point oh two five
Zero or nought is preferable to 'oh'.
|
Brad:
Point nine seven
|
Brad:
Four point two six
|
Interviewer:
If a friend asked you to explain what this
last number means, what could you say to help them?
Brad:
Well the 4 means 4 ones and then there are
26 tenths as well.
Interviewer:
Can you tell me the names for the columns
after the point?
|
Brad:
If the numbers after the point start here
then they are tenths...
|
Brad:
...and if the number starts here, then it's
hundredths.
Interviewer:
What do you mean?
Brad:
Well if that was a zero instead of the two...
|
Brad:
...that would be 4.06, and that would
be 4 and 6 hundredths.
Interviewer:
What about if there was another number
after the 6?
Brad:
Well if there was a 7 at the end...
|
Brad:
...it would still be 67 hundredths because
the hundredths start there. You don't call it thousandths yet, even
though it looks like it might be in the thousandths.
Interviewer:
So when do we call it thousandths?
Brad:
When there are two zeros at the start,
that's when it moves into thousandths.
Interviewer:
Like this?
|
Brad:
Yeah...that's 8 thousandths. The zeros
tell you which name to use.
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