Introduction
In this interview, Caitlin reads the decimal parts of numbers
as if they were whole numbers. This is sometimes a sign of whole
number thinking. When she explains the meaning of the number 4.26,
she explains the 26 as 2 tens and 6 ones, although she knows there
is something more that she doesn't understand.
Comments: Text in italics
Interviewer: Text in red
Caitlin: Text other colour |
Interviewer:
Could you please read out the numbers on these cards?
Caitlin:
Oh point 4
Zero point 4 is preferable.
Many teachers encourage beginners to read this as four tenths. |
Caitlin:
nine point seven
Correct. Many teachers prefer nine and seven tenths. |
Caitlin:
Oh point one hundred and sixty three
Incorrect. Should be zero point one six three to emphasise
the difference from whole numbers. |
Caitlin:
Oh point twenty five
Incorrect. Should be zero point zero two five. Caitlin probably
thinks 0.025 and 0.25 are the same. |
Caitlin:
Oh point ninety seven
Reading decimals like this gives teachers a clue that the student
may have little idea about the meaning of the decimal part. |
Caitlin:
Four point twenty six
Incorrect. Should be four point two six. |
Interviewer:
If a friend asked you to explain what this
last number means, what could you say to help them?
Caitlin:
Well the 4 means 4 wholes and then there
are some extra bits but they don't make another whole.
Interviewer:
Could you explain more about the extra bits?
Caitlin:
There are twenty six of them.
Interviewer:
Has your teacher talked about names for the
different columns? |
Caitlin:
I think that maybe is the tens and... |
Caitlin:
...that is the units but sometimes you can
call them other names too...but I get confused about the other names.
Caitlin sees the 26 as 2 tens and 6 ones although she knows
there is something more that she doesn't understand. |