Decomposing the relationship between international bond markets
Decomposing and connecting object representations in 5- to 9-year-old children's drawing behaviour
Transcript of Decomposing and connecting object representations in 5- to 9-year-old children's drawing behaviour
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Decomposing and connecting objectrepresentations in 5- to 9-year-old children’sdrawing behaviour
Delphine Picard1* and Annie Vinter21Department of Psychology, University of Montpellier III, France2L.E.A.D., University of Bourgogne, France
This study aimed at specifying the content of the representational redescription (RR)process assumed by Karmiloff-Smith (1992) with respect to the emergence of inter-representational flexibility in children’s drawing behaviour. We hypothesized that theRR process included part-whole decomposition processes that are essential to theability to produce cross-categorical drawings. We presented 5- to 9-year-old childrenwith either a two-part (TP) or a several-part (SP) decomposition task involving a houseand a man (experimental conditions) or with no such decomposition task (controlcondition), prior to a connection task (drawing a man-house). The results showed thatconnection performances were better in children who had previously decomposed theobjects into two parts than in children assigned to the control group. This positive‘priming’ effect was attributed to the activation of part-whole analysis processes thatfurther facilitated the management of complex connections between the objects.
From a domain-general perspective, drawing has been used to study internal
representational changes and to reveal the constraints acting on such changes. Since
Karmiloff-Smith’s (1990) pioneering work on children’s drawings of ‘non-existent
objects’, much interest has been devoted to the study of children’s ability to produce
representational innovations in their drawings. Challenging children to innovate elicits
considerable modifications of their internal object representations. The extent to which
children can transform their internal representations was taken as valuable evidence ofthe degree of representational flexibility present at that age.
Karmiloff-Smith (1990) asked children who had acquired full behavioural control of
the drawing of some familiar objects to introduce innovations in their habitual way of
drawing (drawing ‘non-existent objects’). She showed that changes introduced by the
young children (4–6 years) involved deletions and changes in size and shape of
elements, whereas older children (8–10 years) changed position and orientation of
* Correspondence should be addressed to Delphine Picard, Department of Psychology, University of Montpellier III, Route deMende, 34199 Montpellier, France (e-mail: [email protected]).
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British Journal of Developmental Psychology (2006), 24, 529–545
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DOI:10.1348/026151005X49836
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elements and added elements from other conceptual categories. Fitting into her
developmental model, Karmiloff-Smith (1992) accounted for data collected in her
drawing experiment in terms of a transition from an implicit to an explicit level of
knowledge. The implicit level (I level) corresponds to the phase where children possess
well-established graphic routines that are run following a sequentially fixed sequence of
elements. Knowledge embedded in the routines is not consciously accessible.The explicit level (E level) is attained when graphic routines become flexible and open
to each other. This transition occurs through what she called a representational
redescription (RR) process, an endogenous process that intervenes once the child has
reached behavioural mastery in one domain. The RR process progressively releases the
graphic routines from two constraints present at the I level: a constraint of
independence, occurring between routines (so that they cannot share common pieces
of knowledge), and a constraint of sequentiality, occurring within a routine (so that it
cannot be run with deviations from its sequential schema). The RR model postulatesthat explicit representations follow a three steps path, with their components being first
available as data structure (E1 representations), then being consciously accessible
(E2 representations), and finally open to verbal report (E3 representations).
Replications of Karmiloff-Smith’s original (1990) study (Berti & Freeman, 1997;
Spensley & Taylor, 1999; Vinter & Picard, 1996; Zhi, Thomas, & Robinson, 1997) have
confirmed the existence of two main types of representational flexibility. An intra-
representational flexibility, present at an early age (4–5 years), is related to changes
which are restricted to the components of a given graphic representation. This earlytype of representational flexibility evolves from element-based modifications (5 years) to
whole (7 years) and part-whole-based (9 years) modifications of the habitual schema of
drawing (see Spensley & Taylor, 1999; Vinter & Picard, 1996). A second type of
flexibility, called inter-representational, is involved in the connection, within a single
drawing, of components belonging to at least two different categories of object.
For instance, children may produce a house with components of a human figure
(e.g. internal features), of a bird (e.g. wings), or of other familiar objects. The end
product results in original drawings demonstrating the crossing of categoricalboundaries within the representational system. This specific kind of behavioural
flexibility emerges later in development, at around 9–10 years. Studies using Karmiloff-
Smith’s innovation paradigm point to a sequential development of representational
flexibility, from an intra- to an inter-representational level.
However, some findings have cast doubt on the fact that inter-representational
flexibility emerges only from 9 years of age. Giving young children very precise
instructions (and specific examples), Spensley and Taylor (1999) demonstrated that
4-year-old children were able to produce inter-representational changes that wereobtained only at 9 years with Karmiloff-Smith’s (1990) original instructions. These
authors asked 4- to 6-year-old children to draw a ‘man with some parts being replaced
with parts of an animal’, providing the youngest children with specific examples
(e.g. ‘a man with wings instead of arms’). The results indicated that all the children
succeeded in the task, by introducing the animal component into their drawing of a man.
The youngest children, however, persisted in reproducing the given example, whereas
the older children produced drawings from their own imagination. Clarifying the verbal
instructions used for a drawing task has previously been shown to enhance performance(see, for instance, Barrett, Beaumont, & Jennett, 1985; Barrett & Bridson, 1983; Beal &
Arnold, 1990). However, the reason for the success obtained by Spensley and Taylor
with very young children may be accounted for by the low level of representational
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reworking required to complete the task. This may explain why the young children did
not produce a drawing from their imagination, but simply did ‘what they were told to
do’ (Barrett et al., 1985).
Berti and Freeman (1997) asked 5-year-old children to draw a ‘man-house’ and an
‘animal-man’ in response to verbal naming, without providing them with any model.
They reported that 37 out of 46 children succeeded in the task for at least one of the twointer-representational drawings. Success was either ‘partial’ when the drawing could
not be considered as based on inter-representational changes, although modifications
had been introduced. Alternatively, it was judged to be ‘complete’ when inter-
representational changes were produced. Berti and Freeman further observed that
5-year-old children obtained better performances when drawing a ‘man-house’ (80.4%)
than an ‘animal-man’ (58.7%). They accounted for the data in terms of a greater facility in
connecting objects with dissimilar shapes than with similar ones. Whereas both the man
and the animal were formed essentially from smooth shapes, the components of the
house mainly involved the drawing of hard shapes. This study showed that inter-representational behaviours could, to a certain extent, be induced in young children
when the instructions are specified. However, the way these authors coded their results
was rather crude, in terms of ‘partial’ or ‘complete’ success. A more detailed analysis of
the drawings of the young children in terms of types of innovations produced would be
required before we can suggest that these young children behaved like the older
children studied in Karmiloff-Smith’s original experiment.
The present study investigated 5- to-9-year-old children’s ability to connect
representations of two objects in a single drawing when explicitly asked to (this
drawing task will be called the ‘connection task’ here). We used Berti and Freeman’sdrawing instruction of the man-house because it clearly requires transformation at the
representational level. Our main objective was to further explore the possibility that
young children can produce cross-categorical innovations in this task, hypothesizing on
the type of process that may be involved in the ability to produce inter-representational
flexibility. According to Karmiloff-Smith (1992), the RR process permits inter-
representational flexibility in drawing behaviour once it had sufficiently released the
constraints present at the I level of representations. However, the relations between the
RR process and the constraint of sequentiality have not yet been clearly established in
the literature. For instance, Barlow, Jolley, White, and Galbraith (2003) found noevidence to support the existence of procedural rigidity as an inhibitor of
representational flexibility. Moreover, the constraint of independence between
representations is unlikely to be sufficient to account in itself for the emergence of
inter-representational flexibility.
Understanding how inter-representational flexibility emerges could be addressed by
giving a much more precise content to the RR process. We propose that the RR process
is intimately associated with a process of part-whole decomposition of the internal
representations. Spensley and Taylor (1999) similarly argued that a ‘cross-category
insertion [: : :] requires a comparison of, for example, the overall organization of theparts of a man-drawing with the organization of the parts of a pig’, and ‘thus involves an
awareness of the relationships between the elements of two different animals at once’
(p. 320). The key process assumed here refers to a part-whole relation analysis process.
This is a process by which an internal representation can be decomposed into its
constituent parts with a conscious access on these parts and on the relations that the
constituent parts entertain with respect to the representation as a whole. Such a process
is thought to be conceptual in nature with highly flexible internal representations
Decomposing and connecting object representation 531
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(E1 level, at least). Note that Piaget and Inhelder (1956) claimed that children’s ability to
conceptualize the relations between parts and a whole develops mainly from the age of
7. Before this age, the pre-operational logical children cannot reliably coordinate two
separate pieces of information together in order to resolve a class inclusion task, for
instance, or other tasks that require understanding part-whole relations. Similarly,
Luquet’s (1927) theory of drawing development considered that children initially drawan outline to represent the whole of a topic, with later drawing development based on
separating out its constituent parts.
In our view, part-whole decomposition processes can be construed as being the
concern of the RR process. Karmiloff-Smith (1979) has shown that a direct focus on the
component parts of an object could elicit the transition from an I to an E level (E1 level,
at least) of representation in children. She studied the effect of component knowledge
(of a railway track) on 5- to-7-year-old children’s drawing of that topic. Children had to
first copy a railway model made of straight and curved pieces of track. Then, they wereasked to construct the model with all pieces at disposal, before copying the initial model
again. In line with the RR model account, Karmiloff-Smith (1979) demonstrated that
reflection on the component parts of the topic (as elicited by the intermediate
construction task) facilitated flexibility in drawing and the implicit–explicit shift.
In the present study, we hypothesized that if close relations between the ability to
manage part-whole relations and the ability to manage cross-category connections
exist, then a task devoted to the expression of the part-whole analysis should have a
positive impact on the performances obtained in a connection task. To test thehypothesis that a decomposition task may induce a kind of ‘priming’ effect, a between-
subjects design was used with three different conditions. Two experimental conditions
were defined, each being related to a particular decomposition instruction, and a
control condition was used for which no decomposition task was introduced prior to
the connection task. One instruction required the children to decompose drawings of
a man and a house into two parts; the other instruction required the decomposition of
the representations into more than two parts. The two-part (TP) and several-part (SP)
instructions were selected because they introduced different levels of complexity. Anobject can be decomposed into two parts by cutting it vertically or horizontally, in the
same way as cutting a picture with scissors. In contrast, decomposing an object into
several parts may be achieved through different processes of segmentation. An effect
of instruction could be expected. However, irrespective of the instruction, children
should achieve better performances in the connection task than those in the control
group. Furthermore, we expected clear age-related changes in both tasks in terms of
the degree of elaboration of the decompositions and connections.
Method
ParticipantsParticipants in the study were 135 right-handed children. They were divided into three
age groups of 5 years (N ¼ 45; mean age: 5.5), 7 years (N ¼ 45; mean age: 7.4), and
9 years (N ¼ 45; mean age: 9.5). An equal number of girls and boys were present in eachage group. None of these children was advanced or retarded with regard to schooling, or
suffered from any psychomotor drawing or handwriting disorders. The children were
from state kindergartens and primary schools in a middle-class area of a southern French
town.
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MaterialThe children were tested individually, seated at a table in a quiet area inside their school.
They drew with a normal pencil (HB) on a separate sheet of paper (21 £ 14.8 cm) for
each drawing.
Procedure and designThe experiment was divided into three phases. In the first phase, the children were
simply asked to draw a house and a man under simple evocation (free-drawing task). The
drawings were then put aside. These objects were selected because behavioural mastery
of such drawings is already attained at age 5 years. This free drawing task was used as a
baseline condition, to identify for each child the modification introduced in the
drawings in the decomposition and connection tasks.In the second phase, the children from each age group were assigned randomly to
one of the three following conditions. There were thus 15 children per age group and
condition. In the TP condition, the children were asked to decompose their graphic
representations into two parts. The following instruction was used: ‘Now, I’d like you to
draw a house (a man) in two separate parts that do not touch each other, so that when
you put them together, you get the whole object again. Can you draw a house (man) in
two parts?’ There were no time constraints for completing the drawing. The order of
presentation of the two objects was counterbalanced across participants. In the SPcondition, the children were asked to decompose their graphic representations into
several parts. The following instruction was used: ‘Now, I’d like you to draw a house
(a man) in several separate parts that do not touch each other, so that when you put them
together, you find the whole object again. Can you draw a house (a man) in several parts?’
There were no time constraints for completing the drawing, and the order of
presentation of the two objects was counterbalanced across subjects. In the control
condition, the children were not asked to perform any decomposition task. They were
not introduced directly to the connection task, because any difference between theexperimental and control groups could be due precisely to the fact that the children in
the experimental conditions drew the objects more frequently than those in the control
condition. The children were not told to draw the house and the man again because, as
demonstrated by Van Sommers (1984), the very fact of drawing an object in a free
condition restricts the innovations that children can subsequently bring to the drawing
of the same object. Any difference between the experimental and control groups could
thus be attributed to a lowest level of representational flexibility induced by the repeated
drawing of the two familiar objects in the control group. The solution we chose toimplement for the control group was to ask the children to draw two new but familiar
objects (a bunch of flowers and a car). These objects are also sufficiently complex to be
decomposed into parts and whole, in the same way as a house or a man. Overall, the
control children drew a similar number of items as those assigned to the experimental
conditions, while also drawing novel items in this second phase of the study without
suffering from any rigidity due to the repetition of drawing the house and the man.
In the last phase, we presented the connection task. All the children were asked to
produce a man-house, in response to the following instruction: ‘Now, I’d like you todraw a strange object, a man-house; that is, a house that has been transformed into a
man, so that it looks like a man. Can you draw a man-house?’ The time available to
complete the drawing was not restricted. Once the children had finished, they were
asked to comment on their pictures.
Decomposing and connecting object representation 533
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Coding of the drawingsThe modifications introduced by the children in the decomposition and connection
tasks were identified with reference to their free drawings, and on the basis of the verbal
comments given by children at the end of the session. With regard to the decomposition
task, a close examination of the children’s drawings revealed four types of decomposition,
depicted in Figure 1, one of them being observed only in the SP condition:
(1) No decomposition of the object (see Illustration 1 in Figure 1): the object was
unchanged (in comparison with the baseline drawings), or it was replicated entirely
or partially.
Figure 1. Illustrations of the types of decomposition obtained in the two-part (TP) and in the several-
part (SP) decomposition tasks.
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(2) Between-features decomposition of the object (see Illustration 2 in Figure 1): the
object was drawn in two or more parts, in such a way that the isolated parts included
entire features.
(3) Across-features decomposition of the object (see Illustration 3 in Figure 1): the object
was split into two parts about a vertical axis in such a way that the isolated parts
included split features.(4) Fragmentation of the whole object (see Illustration 4 in Figure 1): fragmented
drawings resulting from more or less regular pen lifts performed during the drawing
process, so that the drawing appeared in dotted lines.
Two independent judges coded the 90 collected drawings with reference to these
coding types, and full agreement was obtained.
With regard to the connection task, three main types of connections were found.
They are illustrated in Figure 2, in which the drawings exhibiting the simple andcomplex connections are presented together with the associated baseline man and
house drawings:
(1) No connection between the two object representations (see illustrations 1 in
Figure 2): no change from baseline drawings was observed so that only one object
was drawn, or the two objects were simply juxtaposed (see 1a) or superposed
(see 1b).
(2) Simple connection between the two objects (see Illustration 2 in Figure 2):features for one object were inserted in the other object (see 2a) or were replaced
with features from the other object (see 2b), with no further change being made to
the object.
(3) Complex connection between the two objects (see Illustration 3 in Figure 2): the
connection was achieved through a combination of feature insertion and feature
replacement (see 3a), or of feature insertion combined with object modifications
(deletion of features, change of number of features, change of position of features,
change of shape of features; see 3b), or of feature replacement combined withobject modifications, or of feature insertion and feature replacement combined
with object modifications (see 3c).
Three judges, who worked independently, performed the coding of the 135
drawings based on these mutually exclusive types. Disagreements between the judges
occurred on 14 drawings. These disagreements were all discussed and resolved before
data analysis.
Results
Decomposition of object representationsA score for decomposing the two objects was attributed to each drawing using a 3-point
scale for each decomposition task, with higher scores indicating more sophisticated
modifications. The different types of decompositions were ordered and scored as
followed: ‘no decomposition’ (1), ‘fragmentation’ (1.5), ‘between-features decompo-sition’ (2), and ‘across-features decomposition’ (3). The ‘across-features decompositions’
could, in fact, be considered as the most elaborate type of decomposition. They testified
to high-level planning abilities in the children since they required the conscious
management of the overall organization of the objects’ features and the continuous
Decomposing and connecting object representation 535
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Figure 2. Illustrations of the types of connection obtained in the connection task.
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monitoring of the depiction process (i.e. a complete reorganization of the routine).
The ‘between-features decompositions’ consisted of segmenting the object in terms of its
conceptual features, which could have been achieved either taking account of the part-
whole relations or by successively focusing on the local features of the representations.
This type of decomposition could thus share strong similarities with the across-features
decompositions, but it could also be managed in a much simpler way. It was therefore, bydefault, considered as an ‘inferior’ type of decomposition. The fragmentations were rare
(they were produced only in response to the SP decomposition task) and simply indicated
the children’s ability to operate on the motor aspects of their depiction process (lifting the
pen during the drawing process). Note that inclusion or exclusion of scores for
‘fragmentations’ in the analysis did not change the main significant results.
Figure 3 presents the mean decomposing scores for each age, object and task. Kruskal-
Wallis tests indicated that the decomposing scores were higher at age 9, M ¼ 2:32,
SD ¼ 0:61, than at age 5, M ¼ 1:68, SD ¼ 0:64, for the house, x2ð1Þ ¼ 6:64, p , :01, but
not for the man, x2ð1Þ ¼ 1:36, p ¼ :24. The decomposition task (TP or SP) had a
significant impact on the scores for both the house, x2ð1Þ ¼ 11:72, p , :01, and the man,
x2ð1Þ ¼ 12:49, p , :01, with the scores being globally lower in the SP decomposition
task, M ¼ 1:77, SD ¼ 0:57, than in the TP decomposition task, M ¼ 2:30, SD ¼ 0:61.
The number of children producing the no decompositions was inferior at ages 7 and
9 than at age 5 for the house, N ¼ 3=60 at age 7 and 9 versus N ¼ 11=30 at age 5,
x2ð1Þ ¼ 15:27, p ¼ :01, as well as for the man, N ¼ 4=60 at ages 7 and 9 versus
N ¼ 11=30 at age 5, x2ð1Þ ¼ 11:56, p ¼ :01. The between-features decompositions
Figure 3. Mean score for decomposing per age, decomposition task, and object. TP, two-part;
SP, several-part.
Decomposing and connecting object representation 537
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were no more frequent at age 5 than at the older ages for the house, N ¼ 10=30 at age 5
and N ¼ 27=60 at ages 7 and 9, x2ð1Þ ¼ 1:12, p ¼ :29, or for the man, N ¼ 11=30 at age
5 and N ¼ 31=60 at ages 7 and 9, x2ð1Þ ¼ 1:81, p ¼ :18. Similarly, fragmentations were
observed at all ages for the house, N ¼ 5 at age 5, N ¼ 6 at age 7, N ¼ 3 at age 9, and for
the man, N ¼ 2 at age 5, N ¼ 5 at age 7 and N ¼ 3 at age 9. By contrast, there were more
across-features decompositions at age 7 and 9 than at age 5 for the house, N ¼ 21=60 at
age 7 and 9 versus N ¼ 4=30 at age 5, x2ð1Þ ¼ 4:68, p ¼ :05, but not for the man,
N ¼ 17=60 at ages 7 and 9 versus N ¼ 6=30 at age 5, x2ð1Þ ¼ :73, p ¼ :39. The results
further indicated that the children produced fewer across-features decompositions in
the SP decomposition task than in the TP decomposition task for both the house (SP),
N ¼ 6=90 versus TP, N ¼ 19=90, x2ð1Þ ¼ 7:85, p ¼ :01, and the man (SP), N ¼ 5=90
versus TP, N ¼ 18=90, x2ð1Þ ¼ 8:42, p ¼ :01. At the same time, the children fragmented
the objects in the SP decomposition task, house, N ¼ 14=90, man, N ¼ 10=90; that is,
they performed a type of decomposition that was specifically elicited by this task.
A quantitative analysis of the extent to which the children decomposed their
drawings into parts was also performed measuring the number of separated parts in
each produced drawing. The fragmented drawings were excluded from this analysis.
A 3 (age) £ 2 (decomposition task) £ 2 (object) mixed ANOVA with age and
decomposition task as between-subjects factors and object as a within-subjects factor
was performed on the number of decomposed parts. Figure 4 presents the mean
number of decomposed parts for each age, object, and task.
The results revealed significant main effects associated with age and task, ps , :01,
but these effects were subsumed under the interaction of age and task, Fð2; 70Þ ¼ 8:15,
p , :001. Post hoc analyses (Scheffe tests) indicated that the number of decomposed
parts significantly increased between 5 and 7 years of age in the SP decomposition task
Figure 4. Mean number of decomposed parts per age, decomposition task, and object. TP, two-part;
SP, several-part.
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( p , :01), but not in the TP decomposition task ( p ¼ :96). At age 5, the children did not
decompose their drawings into more parts under the SP and the TP decomposition
requirements ( p ¼ :98), while the older age groups did ( p , :01). The results also
revealed that the number of decomposed parts was globally higher for the man than for
the house drawing, Fð1; 70Þ ¼ 9:11, p , :01. However, a significant interaction
between object and task, Fð1; 70Þ ¼ 11:90, p , :001, indicated that the difference wasonly observed in the SP decomposition task ( p , :01), not in the TP decomposition task
( p ¼ :98).
Connection of object representationsA score for connecting the two objects was attributed to each child using a 3-point scale,
with higher scores indicating more sophisticated modifications. The different types of
connections were ordered and scored as followed: ‘no connection’ (1), ‘simple
connection’ (2) and ‘complex connection’ (3). We expected the children assigned to the
prior decomposition tasks to perform better in the connecting task than those of the
control group. Figure 5 presents the mean connecting scores for each age and condition.
Kruskal-Wallis tests indicated that the connecting-scores were higher at age 7,
M ¼ 2:55, SD ¼ 0:59, than at age 5, M ¼ 2:0, SD ¼ 0:67, x2ð1Þ ¼ 14:75, p , :01, whilethey did not differ significantly between 7 and 9 years of age (p ¼ :99). As hypothesized,
the children assigned to the TP condition globally obtained higher scores, M ¼ 2:53,
SD ¼ 0:58, than those in the control group, M ¼ 2:20, SD ¼ :67, x2ð1Þ ¼ 4:44, p , :05.
However, when the test was run between the SP condition, M ¼ 2:42, SD ¼ 0:67, and
the control condition, M ¼ 2:20, SD ¼ 0:67, the difference failed to reach significance,
x2ð1Þ ¼ 2:85, p ¼ :09. The positive impact of a prior decomposition task on subsequent
connecting performances was thus restricted to the TP decomposition task.
Figure 5. Mean score for connecting per age and experimental condition. TP, two-part; SP, several-part.
Decomposing and connecting object representation 539
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Children aged 5 years produced drawings with no connections more frequently than
the older children, N ¼ 10=45 at age 5 versus N ¼ 7=90 at ages 7 and 9, x2ð1Þ ¼ 5:69,
p ¼ :01. Similarly, simple connections were produced more often at age 5 than at the
other ages, N ¼ 25=45 versus N ¼ 24=90 at ages 7 and 9, x2ð1Þ ¼ 10:83, p , :01.
By contrast, complex connections were less frequent at age 5 than in the 7- and 9-year-
old children, N ¼ 10=45 at age 5 versus N ¼ 59=90 at ages 7 and 9, x2ð1Þ ¼ 22:54,
p , :01. The results further indicated that the TP condition elicited more complex
connections (N ¼ 27 out of 45 drawings) than the control condition (N ¼ 17 out of 45
drawings; x2ð1Þ ¼ 4:45, p , :05). A very similar pattern was observed for the SP
condition (N ¼ 25 out of 45 drawings), but the difference between this and the control
condition failed to reach significance, x2ð1Þ ¼ 2:86, p ¼ :09.
Relations between decomposition and connection abilitiesWe investigated whether specific relations existed between decomposition and
connection abilities. To this aim, we crossed children’s connecting scores with their
decomposing scores (see Table 1). We have to point out that some children produced
different types of decomposition for the house or man-drawings and consequently
obtained different scores for the two objects. In these cases, they were given the higher
score. Note that we checked that the pattern of results remained globally the same when
considering each object separately.
The results from Table 1 show that 89% (72/81) of the connection abilities with
scores greater than or equal to 2 were associated with prior decomposition abilities,
whereas only 11% of scores greater than or equal to 2 (9/81) occurred in the absence of
such prior abilities. The same phenomenon could also be observed for each condition
considered separately: connection abilities coupled with prior decomposition abilities
occurred in 95% (40/42) and 82% (32/39) of the cases for the TP and SP conditions,
respectively. When the two conditions were taken together (TP and SP), a score of 3 for
decomposing was followed by a score of 3 for connecting in about 80% of cases (22/28),
whereas a score of 2 for decomposing was followed by a score of 3 for connecting in
only about 50% of cases (22/41), x2ð1Þ ¼ 4:82, p , :05. However, this result was only
observed for the TP condition, x2ð1Þ ¼ 4:63, p , :05, not for the SP condition,
x2ð1Þ ¼ :96, p ¼ :32.
Table 1. Distribution of the children as a function of their scores for decomposing the objects in two
parts (TP) and in several parts (SP) and their scores for connecting the objects
Connecting scores
Decomposing scores 1 2 3
1 TP 1 1 1SP 1 5 2
1.5 TP – – –SP 0 5 5
2 TP 1 10 9SP 5 3 13
3 TP 1 4 17SP 0 1 5
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It could be argued that the lack of specific associations between connecting and
decomposing abilities in children assigned to the SP condition is, at least partially, due to
our scoring system which under-estimates the importance of the between-features
decompositions (Score 2) in comparison with the across-features category (Score 3).
A quantitative scoring of the decomposed drawings revealed a significant increase with
age in the number of decomposed parts produced by in children in the SP condition.We therefore investigated whether children’s connecting scores varied with the number
of decomposed parts (see Table 2). Note that the analysis excluded the children who
produced fragmentations in the SP condition (N ¼ 14 out of 45). Children who
produced a different number of decomposed parts for the house or man-drawings were
given the higher number of decomposed parts. When the two conditions were taken
together (TP and SP), the results from Table 2 show that the children who decomposed
their drawings into more than two parts were not significantly more numerous on Score
3 for connecting the objects (12/17) than those who decomposed their drawings in twoparts only (31/48), x2ð1Þ , 1, p ¼ :87. The same conclusion was drawn when the
analysis was restricted to the SP condition ( p ¼ :94).
Discussion
The aim of our study was to suggest a more precise content for the RR process assumed by
Karmiloff-Smith (1992) with respect to the emergence of inter-representational flexibility
in children’s drawing behaviour. We argued that the RR process includes part-whole
decomposition processes that are essential to the ability to produce cross-categorical
drawings (see also Spensley & Taylor, 1999; Vinter & Picard, 1996). If this is indeed the
case, then the prior activation of such processes through the use of a suitable task shouldenhance the production of cross-categorical innovations. Given this perspective, we used
two different decomposition tasks as a kind of ‘priming’ procedure, before asking
participants to perform cross-categorical innovations. Moreover, in line with our
hypothesis that common processes are involved, we expected to observe close relations
between the performances obtained in the decomposition and in the connection tasks.
We also hypothesized the existence of clear age-related changes in the way children
perform both the decomposition and the connection tasks. This latter point is discussed
Table 2.Distribution of the children as a function of their number of decomposed parts for drawing the
objects in two parts (TP) and in several parts (SP) decomposition tasks and their scores for connecting
the objects
Connecting scores
Number of decomposed parts 1 2 3
0 TP 1 1 1SP 1 5 2
2 TP 2 14 26SP – 1 5
3–4 SP – – 15–6 SP 2 1 77–8 SP 2 – 19–10 SP – – 3
Decomposing and connecting object representation 541
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first. An interpretation of the ‘priming’ effect follows, along with a discussion of what the
findings of this study imply for the RR model.
The results showed that a major developmental change in both decomposition and
connection abilities seems to occur at around age 7. Decomposing performances
increased strongly between 5 and 9 years of age, but were sensitive to both task and
object. From a quantitative point of view, the number of decomposed parts increasedfrom 7 years of age, especially when the children were requested to decompose their
graphic representations into several parts. Moreover, under SP decomposition
instruction, the man drawing allowed for greater decomposition in terms of its
constituent parts than the house drawing. From a more qualitative point of view, the
development of decomposition abilities was mainly related to the children’s increasing
tendency to perform ‘across-features’ decompositions, by vertically splitting the whole
object representation into two more or less symmetrical halves. This type of
performance was principally elicited by the TP decomposition requirements, and its
significant increase in frequency with age was observed for the house drawing. As wehave emphasized above, the across-features decompositions testify to high-level
planning abilities in children, because these abilities require the conscious management
of the overall organization of the objects’ features and continuous monitoring of the
depiction process (with a complete reorganization of the routine). This type of
decomposition necessarily involves analysing the part-whole relations of the
representations.
The development of connecting abilities also occurred at around age 7 and primarily
took the form of an increasing tendency to make ‘complex connections’ between the
two object representations, through combined processes of insertion, replacement,and/or modification of features of the representations. In our view, ‘complex
connections’ reflect high-level modifications for which a conscious focus on the overall
organization of the parts of the two objects is necessary. Again, a process of part-whole
analysis necessarily underpins this type of connection.
Age 7 has often been regarded as a key age at which major changes intervene in
graphic innovation abilities (see Berti & Freeman, 1997; Karmiloff-Smith, 1990, 1992,
1999; Picard & Vinter, 1999; Spensley & Taylor, 1999; Vinter & Picard, 1996), and
representational abilities in general (see Piaget & Inhelder, 1956). The present study
confirms this aspect, showing that age 7 was characterized by an increase in the ability tomanage part-whole relations in familiar object representations. In line with a well-known
observation, the young children were, by contrast, more inclined to work on the local
features of the representations of familiar objects. This was evident in the fact that the 5-
year-old children mostly produced between-features decompositions and established
simple connections between two familiar object representations. Between-features
decompositions consisted of segmenting the object based on its conceptual features and
could be managed through successively focusing on the local features of the
representations with no necessary consideration of the part-whole relations. Similarly,
the simple connections require a conscious focus on the local features of the objects.They may be qualified as one-way connections between object representations: one
object’s representation either gains some information from another one (insertion), or
exchanges some analogous information with another (replacement), without being
modified further. The present results are consistent with varied procedures used for
assessing children’s ability to perform representational changes in the drawing domain.
Specifically, we confirm the developmental shift from local to part-whole analyses of
familiar object representations between 5 and 7 years of age.
Delphine Picard and Annie Vinter542
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The results support our main hypothesis of a possible ‘priming’ effect due to the
prior decomposition of object representations on children’s ability to subsequently
connect the objects. We did indeed observe an impact of the prior decomposition tasks
on children’s ability to perform connections between two object representations.
However, this impact was principally observed in the TP decomposition task, not in the
SP decomposition task. The children assigned to the TP decomposition task obtainedbetter connecting scores for the two objects than did the controls. These higher scores
were mainly attributable to an increasing production of complex connections by the
children. In line with our hypothesis, the very presence of a positive impact testifies to
the fact that the processes involved in the TP decomposition task were relevant for the
connection task. The TP decomposition task invited children to work on part-whole
decompositions (across-features decompositions), while such decompositions were
induced to only a lesser extent by the SP decomposition task. Sensitivity to drawing
instructions has already been well documented in the literature, and the present
instruction effect echoes results previously obtained under deletion conditions (seePicard & Vinter, 1999). In our view, the very activation of part-whole analysis processes
in the TP decomposition task further benefited the management of complex cross-
categorical connections, because this type of connection is rooted in such processes.
The close relations evidenced between decomposition and connection abilities also
supported our interpretation of the ‘priming’ effect. Specifically, we found that across-
features decompositions were closely associated with complex connections of objects.
These are both types of modifications that we had assumed to mobilize part-whole
analysis processes. By contrast, we found no specific association between the SP
decomposition abilities and children’s connecting performances, though, in the SPdecomposition task, the number of decomposed parts increased with age. The absence
of specific association between the number of decomposed parts and children’s
connecting performance suggests that the priming effect cannot be directly related to
the quantity of information children can extract from their graphic representations.
Rather, the positive impact of a prior decomposition task on subsequent connecting
performance can be linked to the very nature of the decomposition process elicited by
the task.
Positive as well as negative impacts of prior tasks on subsequent ones have already be
shown in different drawing contexts (see Bremner, Morse, Hughes, & Andreasen, 2000;Karmiloff-Smith, 1979). For instance, Bremner et al. showed that copying line diagrams
of cubes could benefit children’s performance in drawing cubes. Prior visual inspection
and/or prior naming of the model to be drawn have been shown to reinforce the
production of object-specific drawings in young children (see, for instance, Bremner &
Moore, 1984; Krascum, Tregenza, & Whitehead, 1996; Lewis, Russell, & Berridge, 1993).
In our study, the impact involved two drawing tasks that were both administered using
simple evocation of the objects to be drawn.
What do the findings of this study imply for the RR model? Our results are prima facie
in line with the RR account in that a transition from non-modifiable to increasingly moreflexible (E-level) representations was found to occur with age. The young children who
could not decompose their representations were also unable to display inter-
representational flexibility in their drawing behaviour. In line with the RR model, it can
be considered that these children have I-level representations. By contrast, the children
who could decompose their representations into their constituent parts were able to
produce cross-categorical drawings. It can be argued that these children have already
redescribed their representations. From this perspective, the RR process includes part-
Decomposing and connecting object representation 543
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whole decomposition processes that are, at least partially, responsible for the shift from
I-level to E-level representations.Furthermore, if flexible representations attest for E-level representations, there was a
change with age in the type as well as in the quantity of component parts on which
children can have a conscious access. However, only changes in the type of components
parts on which children can have a conscious access were shown to be related to
changes in connecting abilities. We believe that flexibility results from a progressive
redescription of the information present in the internal representations in terms of part-
whole relations. We suggest that part-whole processes first operate at a local level, so
that the children can have a conscious access on the components parts of their internal
representations (E1-level representations). The processes then extend to a more global
level, so that the children can have a conscious access on the whole and part-whole
relations of their internal representations (E2-level representations). Only this latter and
qualitative redescription of representations in terms of part-whole relations makes the
child’s internal representations sufficiently decomposable and flexible to allow for the
planning of complex connections between two different objects representations in
drawing.
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Received 1 June 2004; revised version received 6 March 2005
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