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SEED Sponsored Research: Children
starting school in Scotland
4 What do children know and what can they do
when they start school in Scotland?
4.1 The Cognitive Profile Of Children Starting School In
Scotland
Rasch scaling was used to estimate the relative
difficulties of the items for the entire PIPS On-entry
Baseline assessment and for each section separately (for an
explanation of Rasch scaling see Bond and Fox, 2001). The
interval scale enables direct comparisons between items and
sections to be made. Figure 2 gives a general overview of
the stages of development of children on entry to school.
Figure 3 gives a more detailed comparison of the reading
and phonological awareness, mathematics and vocabulary
sections.
Figure 2 Developmental descriptors of children
starting school in Scotland.
Each box describes activities which have been selected
so that a typical child in the group can do about half of
the tasks described. They can generally manage the items
described in the box below but not above.

Figure 3 Descriptors of children staring school
in specific cognitive areas

4.2 How Does The Cognitive Profile Vary?
How then does this cognitive profile vary? Data on age,
gender, home background, pre school experience, first
language and special educational needs are collected at the
time of the PIPS BLA and the analysis below shows how the
cognitive profile varies in relation to these
variables.
4.2.1 Sex
Table 2 (Sex) indicates the advantage to girls over boys
in standard deviation units (Effect Sizes
3) for the four areas being considered.
Table 2 Sex
Area | Advantage to girls | SD boys | SD girls |
Vocabulary | 0.06
** | 1.00 | 0.97
** |
Phonics | 0.15
** | 0.97 | 0.97 |
Reading | 0.21
** | 1.00 | 0.99 |
Mathematics | 0.00 | 1.05 | 0.95
** |
** p<.01
In general, the girls started school in Scotland a
little ahead of the boys, although in mathematics they were
exactly on a par. The greatest difference between boys and
girls was in the reading section where there was an
advantage of about a fifth of a standard deviation. There
was a similar but slightly smaller advantage in phonics and
in the vocabulary there was just 0.06 of a standard
deviation, which was statistically significant but
educationally not important. It is worth pointing out also
that the spread of scores for the girls was significantly
less both for vocabulary and for mathematics, although not
for phonics or for reading. The implications of the
standard deviations differences are that the girls form a
more homogeneous group than the boys. Extreme scoring
groups, the very highest and the very lowest, will have a
greater preponderance of boys amongst them. There will be
fewer girls with special needs in both of those
categories.
4.2.2 Home Background
Table 3 Home background
Area | Advantage to those
without free meals | SD with FSM | SD no FSM |
Vocabulary | 0.62
** | 0.99 | 0.97 |
Phonics | 0.45
** | 1.01 | 0.96 |
Reading | 0.69
** | 0.97 | 0.98 |
Mathematics | 0.68
** | 1.04 | 0.99 |
** p<.01
Home background has long been established as being an
important variable when looking at children's performance
at school, especially when no earlier cognitive measure is
available. There are a variety of ways of looking at home
background and later on in this report we use post codes
linked to deprivation indices, but a straightforward and
widely used measure is the entitlement to free school meals
which gives a dichotomous outcome. Quite clearly in each of
the 4 variables there were highly significant differences
between the average scores of pupils from the groups with
and without free school meals. This was most noticeable for
reading and vocabulary where the difference amounted to
nearly 7/10 of a standard deviation and almost as much in
vocabulary and rather less in phonics. It might be that it
was rather less in phonics because the phonics measure was
less reliable. The overall general pattern averages out at
about 7/10 of a standard deviation.
4.2.3 Pre-school Experience
Table 4 Pre-school experience
Area | Advantage for each
term | Result from England |
Vocabulary | 0.01 | 0.10
** |
Phonics | 0.01 | 0.07
** |
Reading | 0.01 | 0.10
** |
Mathematics | 0.03
** | 0.11
** |
** p<.01
Very little connection was found between the amount of
pre-school that pupils had experienced and their scores on
the baseline assessment. The amount of pre-school
experience recorded varied from no full-time terms to 6 and
it was expected that a strong relationship would be found.
On analysis, only a minimal link was found for mathematics
(0.03 of a standard deviation unit per term). For a child
attending pre-school for six terms the advantage would be
0.18 standard deviation units, which is not of great
educational importance. By contrast in England a very clear
and uniform relationship was found in the same year group
amounting to figures that were typically around 0.1
standard deviation units per term. Figures 4 and 5 below
show a very strong and clear relationship between
mathematics and the amount of pre-school in England but not
for Scotland. The values on the Y-axis of Figures 4 and 5
are mean scores with error bars denoting the 95% confidence
interval. The datasets were smaller for Scotland and so one
might expect to find a weaker pattern because of the errors
on the measurement and it might also be that, because the
children were older in Scotland, proportionately fewer
pupils had experienced only one or two terms in pre-school.
But to find such a weak relationship effect is a little odd
and at this stage no clear explanation is apparent.
Figures 4 & 5 Maths and terms in
pre-school

4.2.4 Special Educational Needs
Not enough data were recorded to be able to comment.
4.2.5 Age
Table 5 (Age) compares the difference between the
youngest children (four and a half years old) and the
oldest children (five and a half years old) starting school
in Scotland and England (age four and five respectively)
for each area of the PIPS BLA. The differences are
expressed as Effect Sizes.
Table 5 Age
Area | Scotland
Gain per year | England
Gain per year |
Vocabulary | 0.41
** | 0.66
** |
Phonics | 0.34
** | 0.68
** |
Reading | 0.56
** | 0.85
** |
Mathematics | 0.66
** | 0.98
** |
Clearly the age of children is of considerable
importance in their cognitive development. To quantify the
relationship between age and measured attainment,
regression analyses were carried out to estimate the
difference that a year makes. That is essentially the
difference between youngest and the oldest children
starting school in Scotland. Comparing four-and-a-half
year-olds to five-and-a-half year-olds, the difference
amounts to about half a standard deviation unit. The
difference was slightly higher for mathematics, rising to
two thirds of a standard deviation, and a little less for
phonics and vocabulary. Generally, the pattern can be
translated into a figure of about 0.05 per month. There was
a stronger relationship in England. That is to be expected,
at least to some extent, since the mean age of children
starting school was lower than in Scotland and age is a
more important factor for younger children than older.
4.2.6 Summary: What children know and can do
when they start school in Scotland
In the first part of this research the PIPS on-entry
baseline assessment was used to describe what children know
and can do when they start school in Scotland. This was
presented in charts derived from Rasch analyses. It showed
a very large range of cognitive development. In the top 1%
were fluent readers and individuals who were very adept at
working with numbers and had extensive vocabularies. They
could read passages which include words such as "everyone"
and do problems such as "what is 3 fewer than 7?". In the
lowest 1% were children whose progress towards literacy had
reached the stage of recognising the activities of reading
and writing without themselves having skills in those
activities. They knew mathematically relevant words such as
biggest and smallest but had difficulty counting just a few
objects.
The age, sex and home backgrounds of the children showed
systematic links to the developmental levels and the chart
below summarises the results for mathematics.
Figure 6 Summary chart for mathematics

There was no difference between girls and boys in their
average starting points for mathematics but older children
and those from more affluent homes had higher starting
points. Although it is not shown on the chart, the amount
of pre-school experience was positively related to the
starting point in mathematics, but to a very small
extent.
Important though age and home background were, they were
small in comparison to the very large differences between
pupils more generally. Similar results were found for
vocabulary, reading and phonics.
A very weak relationship was found between the amount of
pre-school experience and the PIPS scores at the start of
Primary 1.
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