Column Overflow Thinking
Talking about Place Value

BradIntroduction
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?

0.4

Brad:
point 4

Correct. Many teachers encourage beginners to read this as four tenths.

9.7

Brad:
nine point seven

Correct, either this or nine and seven tenths.

0.163

Brad:
point one six three

0.025

Brad:
Point oh two five

Zero or nought is preferable to 'oh'.

0.97

Brad:
Point nine seven

4.26

Brad:
Four point two six

4.26

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?

4.26 with finger on 2

Brad:
If the numbers after the point start here then they are tenths...

4.26 with finger on the 6

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...

4.06

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...

4.067

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?

4.008

Brad:
Yeah...that's 8 thousandths. The zeros tell you which name to use.