Are more errors made when reading longer words and multidigit numbers?
How do attention
allocation and syntactic processing affect word and number reading differently?
In the previous post, we reviewed a study involving two adults with letter position dyslexia in word reading and an impairment in digit-position processing when reading multidigit numbers. These difficulties caused letter transpositions in words and digit transpositions in numbers.
Do
longer words and multidigit numbers produce more transposition errors? Professor
Naama Friedmann, Dr. Dror Dotan and Einav Rahamim examined this question with
the same two adults. They compared the reading of four-, five-, and six-letter
words with the reading of three-, four-, five-, and six-digit numbers.
They found that as
the number of digits increased, the percentage of digit-transposition errors
also increased. This was not the case for words. The percentage of
letter-transposition errors did not depend on word length.
Whereas digit
transpositions in multidigit-number reading tended to occur toward the end of
the number, between the tens and units digits, (e.g., reading 36854 as 36845), letter
transpositions in word reading tended to occur in the middle of the word.
What
causes these differences between errors in word reading and errors in number
reading? One possibility is that attention is allocated differently.
When we read words, attention is
first directed to the letters at the edges of the word, the first and last
letters. Only afterward is attention directed to the letters in the middle.
One possible reason is that the outer letters activate entries in the
orthographic lexicon that are candidates for the word being read. Attention is
directed to the middle letters only later and is allocated to all of them
together. These letters are therefore at greater risk of being transposed. Because attention is allocated to
the middle letters simultaneously, word length does not affect the percentage
of transposition errors.
Unlike
in word reading, when multidigit numbers are read, attention is directed
sequentially, one digit after another, from left to right. The digits on the
left receive attention first, and attention binds them to their relative
positions, so fewer position errors occur among them. The digits on the right
receive attention last and receive the least attention. They may therefore be
more vulnerable to transposition errors.
Because attention is allocated to
the digits sequentially, the longer the number, the more attentional resources
are depleted during reading, and the greater the probability of a transposition
error.
Another possible explanation for
the tendency to transpose the last two digits of a multidigit number is that
although attention is allocated to the digits sequentially, it may be allocated
to the final two digits simultaneously. If so, the reason may be syntactic.
The
conversion of digits into number words is different when the last two digits
form a teen number, as in 35416. This number is, of course, read as
“thirty-five thousand, four hundred and sixteen.” It is possible that a teen
number is produced as a single lexical unit, “sixteen.” If so, this may
encourage simultaneous processing of the last two digits. Simultaneous processing and
simultaneous allocation of attention to two digits may cause them to be
transposed. The problem with this explanation is that it applies
specifically to cases in which the final two digits form a teen number, between
11 and 19.
In
my view, longer multidigit numbers produce more transposition errors because
syntactic load increases with number length. When we read a number such as
35416, we must analyze its syntactic structure and assign each digit its
appropriate value. This analysis requires increasing attentional resources as
the number becomes longer.
This
may explain the surprising finding that one of the two participants made many
transposition errors when reading four- and five-digit numbers composed of
different digits. However, when she was asked to read the same numbers in a
segmented form, she performed the task almost without errors.
For
example, she was asked to read 3456 as “thirty-four, fifty-six,” and 34567 as
“thirty-four, five hundred and sixty-seven.” The only difference between
“thirty-four thousand, five hundred and sixty-seven” and “thirty-four, five
hundred and sixty-seven” is the word “thousand.” Nevertheless, reading
“thirty-four thousand, five hundred and sixty-seven” is more difficult because
it requires syntactic analysis of a more complex number.
It
is therefore possible that even before attention is directed sequentially to
each digit from left to right, attention is directed to the number as a whole
so that an initial syntactic analysis can be performed.
The
researchers suggest that difficulties in reading long multidigit numbers may be
addressed by dividing the number into smaller units and reading its digits in
pairs or groups of three. The problem with this strategy is that the child may
then miss the syntactic and quantitative meaning of the number.
Friedmann,
N., Dotan, D., & Rahamim, E. (2010). Is the visual analyzer
orthographic-specific? Reading words and numbers in letter position dyslexia. Cortex,
46(8), 982–1004.

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