British Journal of Developmental Psychology (2001), 19, 413–432 Printed in Great Britain # 2001 The British Psychological Society 413 Actions really do speak louder than words—but only implicitly: Young children’s understanding of false belief in action Wendy A. Garnham Laboratory of Experimental Psychology, University of Sussex, UK Josef Perner* Department of Psychology, University of Salzburg, Austria Children show understanding of a mistaken story character’s actions in their visualorienting responses before they show this in their answers to test questions. Clements and Perner (1994) interpreted the visual responses as reflecting implicit understanding (implicit-knowledg e hypothesis). The present study explores three possible ways of saving the hypothesis that different bodies of exclusively explicit knowledge are involved (explicit-knowledge-onl y hypothesis): the lack-of-confidence hypothesis asserts that children are just not confident of the novel but correct answer and the misinterpretatio n hypothesis claims that children are simply misinterpretin g the test question. The temporal stacking hypothesis assumes that children consider first the novel idea that the protagonist will go where he or she thinks the object is and then they consider the more established idea that the protagonist will go where the object really is. It explains the original finding by assuming that visual responses are governed by the earlier and the verbal answers by the later considered idea. The results offered little support for the first two of these attempts to save the explicit-knowledge-only hypothesis. Although parts of the results are compatible with the temporal stacking hypothesis, the overall pattern of results is not. Rather, it is very similar to findings from implicit visual perception, where people experience a lack of conscious awareness. This similarity reinforces the original interpretation of a dissociation between implicit and explicit understanding of belief-based action. The development of children’s theory of mind makes an important step with the understanding of misinformation, in particular the understandin g of false belief. Although different tasks for assessing this understandin g have some effect, overall the age trend is quite robust, located between 3 and 5 years (Wellman, Cross, & Watson, 2001). However, Clements and Perner (1994) reported a substantially earlier, but implicit, understandin g of false belief. Such precocious, implicit understandin g has also * Requests for reprints should be addressed to Dr. Josef Perner, Institute für Psychologie, University Salzburg, Hellbrunnerstrass e 34, A-5020 Salzburg, Austria. 414 Wendy A. Garnham and Josef Perner been reported in other domains of knowledge. Children display a more advanced understandin g of Piagetian quantity conservation (Church & Goldin-Meadow, 1986) and arithmetic equations (Perry, Church, & Goldin-Meadow, 1988) in their spontaneous manual gestures before they show this understandin g in their answers to experimenters ’ questions. The finding by Clements and Perner (1994) is based on the typical false belief test (Wimmer & Perner, 1983). They enacted a story about a protagonist (Sam the Mouse) that was ignorant of the transfer of an object (piece of cheese) from one box (A) to another box (B). The important change from the traditional story was that at the critical moment, the protagonist was behind the scenes and would reappear either from hole A when retrieving something from box A or from hole B when retrieving an object from box B. When asked to predict where the mistaken protagonist would look for his cheese, most 3-year-olds answered wrongly with location B (where the cheese actually was), but most of them (over 70%) looked in expectation to location A (where the protagonist thought the cheese was). In a true belief control condition, where the protagonist had witnessed the transfer from A to B, these children did not look to A, which reaffirms that their looking to A in the false belief condition expresses some understandin g that the mistaken protagonist will reappear at location A. This precocious understandin g has been termed ‘implicit’ with some justification . In memory research and subliminal perception, where the distinction between implicit and explicit knowledge plays an increasingl y important role, one criterion for implicit knowledge is that it shows up on an indirect test but not on a direct test (e.g. Reingold & Merikle, 1993). A direct test is one in which the test instructions or questions refer to the knowledge under consideration, as in the case of the experimenter’s question about where the protagonist will look for the cheese. An indirect test is one in which no such reference is made, and the participants’ behaviour just happens to show the existence of such knowledge, as in the case of children’s spontaneous visual orienting responses in the false belief test or their accompanying manual gestures in the Piagetian conservation tests or arithmetic problems. However, one aspect of implicit knowledge is its lack of access for conscious awareness, which is considered to be central in memory research (Schacter, 1987) as well as in implicit learning (Reber, 1993). In research with adults, lack of conscious access can be validated (to some degree) directly through participants ’ reports, but for research with 3-to 5-year-old children, any requirement to elicit such direct confirmation provides an insurmountable hurdle. Therefore, we can only hope to establish the implicit nature of this precocious knowledge indirectly by following two strategies. The first is to see whether the knowledge underlying anticipator y looking behaves like implicit knowledge in the adult literature (the implicit-knowledg e hypothesis). The other is to rule out with new test conditions different attempts to explain the data by assuming that only explicit knowledge is involved (explicit-knowledge-onl y hypothesis). Two experiments were designed to test three fairly plausible attempts to save the explicit-knowledge-onl y hypothesis. The pattern of results favours the implicitknowledge hypothesis over these attempts. Moreover, the results also resemble the pattern of how implicit knowledge is used in contrast to explicit, conscious knowledge False belief in action 415 in experiments with adult participants, which strengthens the impression that children’s precocious understandin g of belief-based action is implicit in nature. EXPERIMENT 1 The main objective of this experiment is to test the implicit-knowledg e hypothesis against the possibility that children entertain two coexisting but contradictory bodies of explicit knowledge. Besides the old but wrong theory, they also entertain the new correct understandin g but simply lack confidence in their new understandin g about belief (lack-of-confidenc e hypothesis) that makes them reluctant to commit themselves to the correct answer. Siegler (1994) has made a strong case that, in general, cognitive development is not a case of abruptly exchanging one theory for another. Rather, children entertain several, often incompatible solution strategies for a problem. Acredolo and O’Connor (1991) have highlighte d that children often entertain ‘contradictory notions’ and that at any particular point in time, the majority of what a child knows is understood only partially and therefore with some degree of uncertainty. Applied to the present case, this might mean that the correct but novel hypothesis that the protagonist will go to the location where he thinks the object is, is held at the beginning with little confidence . However, even a low confidence idea can affect looking because looking does not commit the child to a judgment of where the person will go. In contrast, where an answer to a question (predict-protagonis t question) requires commitment, children may prefer to stick to the incorrect answer of referring to the object’s current location because it conforms to the simpler and safer old theory that people retrieve something from its actual location (Fodor, 1992; Harris, 1993; Mitchell, 1996; Robinson & Mitchell, 1995; Russell, Mauthner, Sharpe, & Tidswell, 1991; Zaitchik, 1991). If the lack-of-confidenc e hypothesis is correct, then the superior visualorienting responses reported in Clements and Perner (1994) may not reflect the existence of implicit knowledge, but instead explicit knowledge of low confidence . To test lack of confidence as an explanatio n for the gap between knowledge revealed by visual-orientin g responses and knowledge expressed by answers to questions, a new mat-moving response measure is incorporated. The same false belief task is used as in Clements and Perner (1994), but, instead of requiring the child to give an answer to a test question, children have to move a small mat to catch the protagonist as he comes down one of two slides in search of the desired object. If children are just not confident of their novel hypothesis that the protagonist will search for the object in the empty location where he thinks the object is, then they should be just as reluctant to commit themselves to this hypothesis for their mat-moving response as for their answer to the standard anticipated-actio n question. In fact, they might be even more reluctant to commit themselves to that location in their mat-moving responses because a wrong judgment has the serious consequence that the protagonist will hurt himself without a mat in place to soften his arrival. Whereas the lack-of-confidenc e hypothesis predicts that there should be no difference in accuracy between mat-moving responses and answers to the predict-protagonis t question, the literature on adults’ use of implicit knowledge suggests otherwise. It has been shown that only explicit, conscious perception is subject to certain illusions. For instance, Aglioti, DeSouza, and Goodale (1995) report that Titchener’s circle illusion 416 Wendy A. Garnham and Josef Perner can be so adjusted that an objectively (by about 3mm) smaller disk surrounded by small circles looks as large as a larger disk surrounded by large circles. However, when asked to grasp the disks, the anticipatory thumb-index finger span adjusts to the actual size difference , which shows that there is implicit knowledge of the real size relations available for action, but not for conscious judgment of the relative size of the disks. Similar dissociation between conscious judgment and finger movement has been reported on the induced Roelof’s effect, the illusory movement of a stationary dot induced by the movement of the dot’s surroundings (Bridgeman, Gemmer, Forsman & Huemer, 2000; Bridgeman, Kirch, & Sperling, 1981). Applied to our problem, these results suggest that children’s precocious understandin g of false belief might be available for their mat-moving action before it is available for their explicit (conscious) judgment of where the protagonist will reappear. Method Participants Forty-nine children aged 2;5 to 4;7 from four playgroups in a predominantly middle-class area of Brighton and Hove took part in this study. All children had English as their first language. Two children were excluded from this study as they both refused to sit long enough to finish the first story. Both of these children were aged below 2;7. Thus, the results of 47 children (21 boys and 26 girls) with a mean age of 3;3, were analysed. Materials Each child was seated at a table on which a large 50 cm (length) 6 20 cm (height) 6 20 cm (width) three-dimensiona l model was displayed. This model, made of card, depicted the following scene. A 17 cm (height) 6 10 cm (width) flight of steps separated two playground areas. At the foot of the steps, there was a 10 cm 6 8 cm brown mat (cut from a square of carpet). The steps were bordered by two 10 cm 6 20 cm 6 20 cm walls, each of which had a small doorway leading into one of the two playground areas. The steps led to a doorway at the top of the model, which in turn led to the top of the slides. Each slide was situated in one of two playground areas and protruded from a 5 cm 6 3 cm opening in the back wall. One of the slides was coloured red, and one was coloured blue. A small box, 3 cm 6 3 cm, was positioned 2 cm from the side of each slide. The box next to the red slide was coloured red, and the box next to the blue slide was coloured blue. Two playmobile figures, a boy and a girl, were used to enact the story events in this model. The object to be transferred was either a small football or a bag of sweets. The small football was a black and white ball of 1.5 cm diameter and for the bag of sweets, a small 2 cm 6 2 cm cube-shaped paper bag was constructed and filled with three small sweet wrappers made from tissue paper. A video camera was set up on the same side of the table as the experimenter. The camera was placed so that each child was visible from the waist up with a clear view of the child’s face. Design Each child was tested in two sessions approximately seven days apart. In each session, each child was told one false belief and one true belief (control) story. At the end of the narrative in one session, children were asked the standard question as used in Clements and Perner (1994): ‘Where is Alan going to look?’ This is referred to as the anticipate-protagonist condition. In the other session, at the end of the narrative, children were simply instructed to move the mat to catch Alan as he came down one of the two slides: ‘Quick! Move the mat to catch Alan as he comes down the slide!’ This is referred to as the mat-moving condition. The following counterbalancing measures were made. For half of the children, the anticipateprotagonist condition was administered in the first session and the mat-moving condition in the second False belief in action 417 session; for the other half, the conditions were administered in the reverse order. Within each session, the order of presentatio n of the false and true belief stories was also counterbalanced. Whichever scenario was used for the first story in one session, the other scenario was used for the first story in the second session. For half of the participants, the boy character (Alan) was used as the main protagonist in the first story, and the girl character (Rebecca) was used as the main protagonist in the second story. For the other half of participants, the use of these characters as the main protagonist in each story was reversed. Within each session, whichever character was used for one story in the first session, the other was used for the first story in the second session. Whichever of the two objects was transferred in the first story, the other object was transferred in the second story. Similarly, whichever object was transferred in the false belief story in the first session, the other object was transferred in the false belief story in the second session. Procedure Each child was seated at a table in a quiet room separate from the main classroom/play area. In each condition, children listened to two stories, one false belief and one true belief story. Each story began by introducing the child to the story characters. Then, the experimenter narrated the story, enacting the story events using the model in front of the child. In the false belief story, Alan plays with his football, puts the ball into the red box and climbs up the stairs (behind the scene where he cannot see what follows). Rebecca comes, moves his ball to the blue box in the other playground area, and leaves the scene. Alan behind the scene expresses his desire to play ball again (at this point, a pause of 2–3 s was made during which the child’s eye gaze direction was judged later on the video record), and the child was asked to indicate on which slide Alan will come down (anticipate-protagonis t question) or was asked to move the mat (mat-moving instructions). This was followed by three memory questions. The verbatim narrative of one of the false belief stories can be found in the Appendix. The corresponding true belief story differed from the false belief story only in that the protagonist witnessed the transfer of the object from one location to the other. Specifically, the wording of Episode 2 (see Appendix) was changed so that Alan witnessed Rebecca moving the football from one location to the other before climbing the steps to the top of the slide. In each condition, the child’s looking behaviour was recorded on videotape. The video camera was switched on before the experimenter had begun narrating the story and was left to record throughout the duration of the story until the child had answered the three memory questions. To avoid the possibility that the child was following the experimenter’s gaze, the experimenter, facing the child, looked at the child at the critical point, immediately after the end of the narrative and before the child was asked the anticipate-protagonis t question or was given the mat-moving instructions. In the mat-moving condition, a familiarizatio n task was administered, before any true or false belief stories had been heard. The aim of this task was to demonstrate the function of the mat in catching the protagonist as he or she came down one of the slides so that the child understood what to do with the mat in the test condition. In this familiarizatio n task, the protagonist put an object into one of the boxes, climbed the slide and then declared his wish to retrieve the object. The object used was a small piece of cardboard cut in the shape of a sweet wrapper coloured pink and blue. In this task, Episode 2 was omitted so that there was no transfer of the object from one location to the other. This task was administered twice to each child so that the protagonist retrieved the desired object from the red box once and from the blue box once. Scoring of responses. Post-hoc anticipatory looking responses were observed during the approximately 3s pause between the end of the narrative and the start of the anticipate-protagonis t question. Raters were asked to code each response as either A (looked longest at location A, where the protagonist thinks the object is), B (looked longest at location B, where the object actually is) or N (either did not show a preference for looking to A or B or not clear where the child was looking). For example, if a child spent more time looking to location A than to any other place during the 3 s pause, this would be coded as an A response. N codings were relatively rare; only 16% (30 of 188) of looking responses, 3% (three of 94) of mat-moving responses and 8% (eight of 94) of verbal responses were coded as N by both raters. To be interpreted as evidence of some understanding of belief, looking responses must be coded as A in the false belief task (i.e. looked longest to the location where the protagonist mistakenly thinks the 418 Wendy A. Garnham and Josef Perner object is) and B in the true belief task (looked longest to where the protagonist thinks the object is, which is also where the object actually is). This pattern is referred to as the AB pattern. However, it only indicates an understanding of false belief if it occurs significantly more often than one would expect by chance, that is the BA pattern, which is our best indicator of the average rate of chance looking patterns because it has no other explanation. In contrast, the BB pattern might indicate fascination with location B (because the object is actually there) and AA a fascinatio n with location A (because in both stories, the object used to be there). Besides the AB pattern, patterns NB and AN provide some, though weaker, evidence for understanding (i.e. one could argue in the case of NB that the looking to B in the true belief control but not looking to B in the false belief condition indicates some awareness of the protagonist’s not knowing that the object is in B). Although we present the incidence of these patterns for interest, we nevertheless rely primarily on the AB pattern as an indicator of understanding false belief. The same scoring system was used for mat-moving and verbal responses also. For example, if children moved the mat or verbally responded to location A in their answers, this was coded as an A response. If they moved the mat or verbally responded to location B, this was coded as a B response. For visual responses alone, inter-rater agreement was 87% (164 of 188, k = .79). For verbal and matmoving responses, inter-rater agreement was 98% (182 of 188, k = .92). Where disagreements did occur, a conservative measure was used with responses being coded as N responses. Results The result of central importance concerns the frequency of the AB response pattern (respond with A in false belief and with B in the true belief control story) in relation to other response patterns and across the different experimental conditions. Table 1 shows the relevant frequencies . Table 1. Number of children showing a particular response pattern across the two stories and the relative frequency of A:B responses for each story individually in Experiment 1 Response pattern or story Condition and response mode Anticipate-protagonist Mat-moving Looking Response pattern over false and true belief story AB 20 BA 1 AN and NB 9 NA and BN 4 AA 5 BB 8 NN 0 Frequency of A:B responses False belief story 29:14 True belief story 8:30 Answer Looking Move mat 10 1 3 1 1 29 2 18 4 11 4 1 8 1 20 0 3 0 0 24 0 11:31 2:42 25:15 6:31 21:24 0:46 As Table 1 shows for each condition and measure, the AB pattern is quite frequent, whereas the BA pattern, which is our best indicator of mere random responding, is False belief in action 419 extremely rare (and is shown only by children below the age of 2;11 except for the looking behaviour by one child of 3;1). In each case, the Binomial Test shows the difference to be highly significant (all ps < .01), which indicates that the AB pattern expresses some understandin g of where the protagonist will reappear and is not the result of pure random responding. Moreover, ignoring N responses, the lower panel of Table 1 also shows that in the false belief story of the anticipate-protagonis t condition, children look more often to A (29 children) than to B (14 children), and this differs significantl y from chance (one sample w2 (1,43) = 5.24, p < .05; unless otherwise indicated, all tests of significanc e are two-tailed). Table 1 also shows that in the anticipate-protagonis t condition, the AB response pattern is more frequent in children’s anticipatory looking (20 cases) than in their answers to the test question (10 cases). This difference results from 14 children showing the AB pattern in their looking but not in their answers, while only four showed it in their answers but not in their looking (McNemar’s w2 (1,47) = 5.56, p < .02). This replicates the original result reported by Clements and Perner (1994). The important new result is that the AB pattern was also shown more often in children’s mat moving (20 cases) than in their answers to the anticipate-protagonis t question (10 cases). This difference is owing to the fact that 13 children showed the pattern in their mat moving and not in their answers, whereas only three children showed the opposite result (McNemar’s w2 (1,47) = 6.25, p < .02). In fact, the incidence of the AB pattern in mat moving was as frequent as in children’s looking in the anticipate-protagonis t condition (McNemar’s w2 (1,47) = .05, p > .90). The fact that the AB pattern was slightly less frequent in children’s looking in the matmoving condition can be explained by the fact that the presence of the mat captured children’s eye gaze, leading to more N scores (15%) than in the anticipate-protagonis t condition (8%) where there was no mat. Discussion The finding that the AB pattern of responding was more frequent for mat-moving (and about as frequent as AB looking responses in the anticipate-protagonis t condition) than for answers to the anticipate-protagonis t question makes it difficult to save the explicitknowledge-only hypothesis with the lack-of-confidenc e explanation. If the low frequency of AB responses for the anticipate-protagonis t question was because of children’s low confidence in their explicit idea that the protagonist would reappear at A in the false belief story, then their lack of confidence in this idea should also have made them equally reluctant to move the mat to A. The data do not appear to support this prediction. In contrast, the data are compatible with the implicit-knowledg e hypothesis as extrapolated from findings on perceptions of illusions in adults. It was found that implicit knowledge is available not only for indirect tests (accompanyin g automatic actions) but also for intentional action. For example, Bridgeman (1999; Bridgeman et al., 2000) reports that people are quite accurate in moving their finger to a vanished dot’s location, even when their conscious perception indicated that the dot had moved. Analogously, children can use their precocious implicit knowledge not only in their automatic visual orienting responses but also in their intentional action of moving the 420 Wendy A. Garnham and Josef Perner mat. Implicit knowledge is not available for declarativ e statements of what is the case (Bridgeman et al., 1981). When asked to indicate the dot’s location in relation to a reference grid, then answers are subject to the consciously perceived visual illusion. Similarly, the children in the present study cannot use their precocious implicit knowledge in response to the anticipate-protagonis t question to indicate what will be the case. Thus, our finding strengthens the case that the knowledge revealed in visualorienting and mat-moving responses that is not expressed in answers to questions is ‘implicit’ in nature and, therefore, different in nature from knowledge expressed in answers to questions. However, this conclusion is still premature because, as mentioned earlier, there are other plausible hypotheses to be ruled out, such as different versions of the misinterpretation hypothesis. Perner, Leekam, and Wimmer (1987) have pointed out that children might misinterpret the traditional test question ‘Where will the protagonist look for the object?’ as ‘Where should the protagonist look for the object?’, or that children may be keen to help the protagonist find the desired object and, therefore, point to the location where the object is (and where the protagonist should look). A related possibility is that children misunderstand the intended meaning (i.e. where the protagonist will look first) as where will the protagonist look in the end and find it (Siegal & Beattie, 1991). Surian and Leslie (1999) found that inserting ‘first’ in the original test question used in the typical false belief story yields a very strong increase in children’s correct responses at the age of 3‰–4 years, whereas Clements and Perner (1994) reported a small non-significan t difference in the range of 2‰–4‰years and Peterson and Siegal (1999) in deaf children. Others have added the ‘first’ routinely (e.g. Joseph, 1998). The meta-analysis by Wellman et al. (2001) indicates that the effectivenes s of this manipulatio n tends to be focused on the older end of the 2‰–6 year spectrum. Still, we cannot assume that it could not be effective below the age of 3‰ years when the dissociation between looking at A, but answering with B to the question tends to be largest. Siegal (1996) pointed out another potential misinterpretation for the procedure used by Clements and Perner (1994) who had added an ‘anticipation prompt’ to elicit more looking to locations A and B before asking the test question. This prompt, ‘I wonder where he is going to look!’, Siegal suggested, might be understood by some children as a question to which they respond by looking to location A. The ensuing explicit test question, ‘Where will he come out?’ is then misinterpreted by these children as a repeat of the earlier question and taken as a reprimand of their earlier answer. These children then switch to answering the test question with B after having looked at A. It is important to note that this possibility does not apply to our present procedure and other replications of the original study (e.g. by Garnham & Ruffman, 2001), where the use of the anticipatio n prompt was dropped as it seems unnecessar y for eliciting looking to location A or B. In any case, if any one of the misinterpretation s outlined above does occur, then it would explain why visual-orienting response and mat-moving response reveal an earlier understandin g of false belief, simply because these responses are not hampered by the same misinterpretations as the traditional test question (anticipate-protagonis t question). False belief in action 421 EXPERIMENT 2 The main purpose of this experiment is to rule out the misinterpretation hypothesis as another way of saving the explicit-knowledge-onl y hypothesis in opposition to the implicit-knowledg e hypothesis. To do this, a new reflect-mat-move condition was introduced. Before children were allowed to move the mat, they had to answer the reflective question: ‘Where are you going to move the mat?’ (reflect-mat-move question). If the younger children do understand false belief in a way that is accessible for answering questions but are trapped into giving wrong responses because they are misinterpreting the standard anticipate-protagonis t question ‘Where will he look for the object?’ as ‘Where should he look for the object?’, then these children can be expected to give far more correct responses to this new reflect-mat-move question. The reason for this is that even if they do gloss this question as ‘Where should you move the mat?’, that would still let them give the same correct answer. As mentioned, another possible misinterpretation is pragmatically to interpret the test question as a request to help the ignorant protagonist find the object. By hypothesis, even the youngest children are highly sensitive to the protagonist’s ignorance and see the correction of his ignorance as the most relevant communicative act in this situation and, therefore, answer the test question, which contains a reference to the object, with the location where the object actually is. Although this pragmatic twist to point out the actual location of the object is plausible for the traditional question that contains a reference to the location of the object (‘Where will he look for the object?’), it is much less plausible for the new reflect-mat-move question that does not even mention the object. Finally, a third way of misinterpreting the traditional test question is to change its intended temporal reference (Siegal & Beattie, 1991). The assumption is that children understand that the protagonist will keep looking and eventually will look where the object is. By interpreting the intended meaning of the question as where the protagonist will look right away, they may interpret it as meaning where the protagonist will eventually look and answer with the object’s actual location. Again, although there is a plausible possibility of reinterpreting the question about where the protagonist will look for the object, it is not applicable to the reflect-mat-move question, ‘Where will you move the mat?’, since the mat only needs to be moved once to catch the protagonist coming down the slide. When he discovers that the object is not in the old location, the protagonist will not use any slide again but walk over to the other box in order to look in there. In sum, if children’s answers to the new reflect-mat-move question are comparable to their answers to the standard anticipate-protagonis t question but differ from their visual-orientin g and mat-moving responses, then the different variants of the misinterpretatio n hypothesis would seem to be unlikely explanations of the data. This would erode another support for the explicit-knowledge-onl y hypothesis. In contrast, such a result would be compatible with the implicit-knowledg e hypothesis because the reflect-mat-move question asks for a declarativ e statement on an action for which the precocious implicit knowledge would not be available, whereas the moving of the mat is a mere action for which such precocious knowledge would be available. 422 Wendy A. Garnham and Josef Perner Another important objective of this study is to follow up an informal observation in Experiment 1 concerning children’s timing of their responses. It was observed that some children moved the mat virtually immediately after being given the instructions to do so, while many others hesitated or needed further prompting before moving the mat, and a few moved the mat back and forth between the locations before reaching a decision. This observation is important because it suggests a new test of differentiatin g the implicit-knowledg e hypothesis from yet another way of saving the explicit-knowledge only hypothesis: temporal stacking (e.g. White, 1965). In hunting for a response, the child encounters competing explicit hypotheses that are temporally stacked. If the child tends to respond quickly the response is likely to be governed by an early hypothesis. If the child hesitates the response is governed by a late occurring hypothesis. Assuming on purely hypothetical grounds (there is no evidence that this really is the case) that the novel hypothesis of the protagonist going to A is thought of first (perhaps because it is novel and exciting), then children who respond fast are more likely to respond with A than children who hesitate and, therefore, are more likely to respond according to the later considered standard hypothesis that the protagonist will appear at B. As a consequence, they would look and move the mat more often to A than they verbally respond with A because their looking and mat moving tend to be quick, while their verbal responses tend to be slower and more deliberate. To test this possibility that children entertain two quite explicit theories that differ in their temporal processing characteristics , we monitor children’s timing of their responses in all three conditions. If the results show that responding with location A in the false belief story depends primarily on quicknes s of response and not whether it is a mat-moving or a verbal response (mat moving just tends to be quicker than answers to questions), then the temporal stacking hypothesis can save the explicit-knowledge-onl y hypothesis. If, however, there is a difference between mat-moving and verbal responses independentl y of any effect of response timing, then the temporal stacking hypothesis can be rejected as a complete explanation of the data. In contrast, the findings from the use of implicit knowledge (Rossetti, 1998) in the context of illusions (Bridgeman et al., 1981), information presented close to threshold, and information presented to the blind field of blindsight patients (Marcel, 1993) suggest that the use of implicit knowledge is available only to spontaneous action but not to delayed action. Hence, the implicit-knowledg e hypothesis would let us expect that spontaneous mat moving should yield more correct A responses than delayed, prompted responding. Without the advantage of implicit knowledge, prompted responding should yield about the same level of A responses as answers to questions (anticipate-protagonist , reflect-mat-move). No timing effect would be expected for answers to questions. Since all visual orienting responses (in the time window measured) are spontaneous responses, the level of A responses in looking should be the same as for spontaneous mat moving. Method Participants Seventy-four children aged 2;5 to 4;3 from five playgroups in predominantly middle-class areas of False belief in action 423 Brighton, Hove and Portslade took part in this study. One child did not have English as his/her first language but gave correct responses on all measures. Three children had to be excluded from the analysis. For two of them (aged 2;6 in anticipate-protagonis t condition and 3;7 in reflect-mat-mov e condition), a dark shadow present on the videotape recording prevented monitoring of children’s response timing. One other child (aged 2;11 in reflect-mat-mov e condition) refused to sit long enough to complete the first task. This left the data from 71 children (38 boys and 33 girls) with a mean age of 3;3 for further analysis: 24 in the anticipate-protagonist , 23 in the mat-moving and 24 in the reflect-mat-mov e conditions. Materials Two scenarios were used in this experiment. In addition to the playground scenario (as used in Experiment 1), a large fire station scenario was used. The fire station was a large 50 cm (length) 6 30 cm (height) 6 25 cm (width) three-dimensiona l model made of card depicting the following scenario. A 26 cm (height) 6 10 cm (width) flight of steps separated two areas of the fire station. At the foot of the steps in the mat-moving and planned-actio n conditions, a small 10 cm 6 8 cm brown mat (as used in the previous experiment) was placed. The steps led to a doorway that, as the child learnt during the familiarizatio n phase, was the entrance to the firemen’s tea-room and also the entrance to the top of the slippery poles. Each slippery pole was situated in one of two fire station areas. The poles were constructed using the blunt ends of two large, thick knitting needles that had been painted. One pole was painted navy blue, and one pole was painted bright green. Each pole protruded from a small circular opening (that remained invisible to children unless they actively looked under and up to the top of the fire station). A small box, 4 cm 6 4 cm, was positioned approximately 3 cm in front and 2 cm to the side of each pole. The boxes were painted in exactly the same colours as the poles that they were positioned next to. The object to be transferred in this scenario was either a small bucket or a fire extinguisher taken from the playmobile fireman set. Two playmobile figures, one male and one female, were used as the characters. Design In order to avoid information overload in children and the danger of carry-over effects, a betweenparticipant design was used with each child being randomly assigned to one of three conditions: anticipate-protagonist , mat-moving and reflect-mat-move . Each child was tested in a single session and heard one false belief and one true belief story presented in counterbalanced order and with counterbalanced assignment of story scenarios (playground vs. firemen). Visual-orienting responses were only monitored in the anticipate-protagonis t condition because of the presence of the mat acting as a distractor in the other two conditions. To avoid the possibility that children in the mat-moving condition were given unfair advantage by practising the required response in the familiarizatio n trial, such a trial was administered in all three conditions. This trial differed from test trials in that there was no transfer of the object from one location to the other. Procedure The same procedure as in Experiment 1 was employed with the exception that in the reflect-mat-mov e condition, different instructions were given to the child. Children were asked where they were going to move the mat before they had actually executed the action of moving it. In all conditions, the experimenter kept the characters out of sight behind the story model until a response had been given. This methodological precaution was to avoid any possibility that children might use the shape or size of the experimenter’s hands (one of which contained the protagonist figure) as a clue to where the protagonist was going to come down. Scoring of responses. The scoring of responses was done as in Experiment 1. Inter-rater agreement was again a high 97% (184 of 190, k = .96) for all responses taken together. For visual responses alone, inter-rater agreement was 89% (43 of 48, k = .83). Each response was also coded according to the time taken to 424 Wendy A. Garnham and Josef Perner give a response: given without hesitatio n within a second (a spontaneous response), oscillated between the two locations before deciding on the answer (an oscillating response) or needed further prompting before giving a correct answer leading to a delay of several seconds (a prompted response). As there were only six children in the mat-moving condition who ever oscillated between the two locations before giving a response, and since oscillatin g responses and prompted responses were given only after hesitation, these responses were grouped together for the purposes of further analysis. Results and discussion We start by analysing the data in the same way as in Experiment 1 to validate children’s AB responses (respond with A in the false belief and with B in the knowledge control story) as indicators of understandin g belief-based action. Since the incidence of B responses in the true belief condition is very high, we simplify the analysis by looking exclusively at children’s responses in the false belief story. Validation of AB responses Table 2 confirms the finding of Experiment 1 that the incidence of the AB response pattern does reflect understandin g of belief because it is quite frequent in contrast to the BA pattern as our best estimate of purely random responding. In fact, the BA pattern is extremely rare and is shown only by children below the age of 3 years. For each condition except the answers to the predict-protagonis t question, binomial tests show the difference between AB and BA to be highly significan t (all ps < .01). This means that the AB pattern is (except for the answers to the anticipateprotagonist question) a fairly accurate indicator of understandin g that the protagonist will reappear at location A in the false belief story. Moreover, the lower panel of Table 2 also shows that the incidence of A responses in the false belief story deviates minimally from the incidence of the AB pattern, in particular, for the looking and mat-moving behaviour. This implies that we can also rely on the incidence of A responses in the false belief story as a fairly safe indicator of understandin g belief-base d action. This consideratio n is important for practical reasons: it allows us to restrict the ensuing analysis of the timing and condition factors to the data from the false belief story. This analysis would otherwise become quite complicated. Effect of timing and condition on A responses in the false belief story The scoring of children’s response timing in the false belief story showed a fairly even spread of spontaneous responders and children who needed prompting: 15 spontaneous and nine prompted in the anticipate-protagonis t condition, 11 and 12 in the matmoving condition, and 12 and 12 in the reflect-mat-move condition. In order to investigate the effect of the timing factor on children’s responses in the different conditions, we carried out a logistic regression using the BMDP (LR) statistical software package (Dixon, 1992) specifying the following model: timing 6 condition with the proportion of A responses as dependent variable. Factor timing has two levels (spontaneous vs. prompted) and condition three levels (anticipate-protagonist , mat moving and reflect-mat-move). The pairs of bars in Fig. 1 show the relevant data for this analysis. They show for each condition the percentages of correct A responses separately for spontaneous responders and for children that needed prompting. False belief in action 425 Table 2. Number of children showing particular response pattern across the two stories and the relative frequency of A:B responses for each story individually in Expt 2 Condition and response mode Response pattern or story Anticipate-protagonis t Looking Answer Response pattern over false and true belief story AB 15 5 BA 1 3 AN and NB 1 0 NA and BN 0 0 AA 1 2 BB 4 14 NN 2 0 Frequency of A:B responses False belief story 16:5 7:17 True belief story 2:20 5:19 a Move mata Reflect mat move 11 0 0 0 1 11 0 6 0 0 0 2 16 0 12:11 1:22 8:16 2:22 Only 23 children in this condition The two main effects of timing (w2 (1,71) = 8.19, p < .004) and condition (w (1,71) = 7.87, p < .02) were both highly significant , but their interaction failed to be so (w2 (2,71) = 5.11, p > .08). There is a slight danger that these two effects are not independent , because timing was not an experimentall y manipulated but an observed variable. To check on this possibility, condition is introduced first into a stepwise regression. Timing still remains as a significant independen t predictor (w2 (1,71) = 12.19, p < .001). Similarly, when timing is introduced into the stepwise regression, condition stays highly significan t (w2 (1,71) = 12.05, p < .002). This is important because it makes clear that response timing does not explain the effect of condition. The main effect of condition can be seen most easily in the lower panel of Table 2 showing that in the false belief story, 12 of 23 (52.2%) children moved the mat to A, while only seven of 24 (29.2%) in the anticipate-protagonis t and eight of 24 (33.3%) in the reflect-mat-move condition answered with A. This effect is also reflected in Fig. 1 by the fact that each of the two bars in the mat-moving condition is higher than its corresponding bar in the two other conditions (answers to anticipate protagonist question and to reflect-mat-move question). The effect of timing can be seen in Fig. 1 from the fact that spontaneous responders showed more A responses than children who needed prompting in each of the three conditions. That this difference seems to be larger for mat moving than for answers to the anticipate-protagonis t question and larger than for answers to the reflect-mat-move question reflects the non-significan t but still noticeable interaction between timing and condition. 2 426 Wendy A. Garnham and Josef Perner Figure 1. Comparison of spontaneous and prompted responses in each condition. False belief in action 427 The left-most bar in Fig. 1 shows the incidence of looking to A in the anticipateprotagonist condition for comparison. We now use the complete pattern of results displayed in Fig. 1 to test for direction-specifi c comparisons that were predicted a priori by one of our three hypotheses under consideration using one-tailed tests of significance . Implicit knowledge hypothesis As mentioned in the introduction to this experiment, the results from studies of adults’ visually guided action and visual perception in the context of visual illusions indicate that implicit knowledge tends to be available only for spontaneous, and not for delayed, actions (see review by Rossetti, 1998, which also covers parallel effects in neurological patients). On these grounds, the implicit-knowledg e hypothesis predicts that precocious implicit knowledge should be mainly available for spontaneous, but not for prompted, hesitant mat-moving actions. This is indeed the case as shown in Fig. 1 (w2 (1,23) = 3.56, p < .05, one-tailed). The hypothesis does not predict a similar timing difference for answers to questions; the data in Fig. 1, however, suggest that there might be. This difference speaks for the temporal stacking hypothesis and cannot be accounted for by the implicit-knowledg e hypothesis. The implicit-knowledg e hypothesis also predicts that precocious implicit knowledge should be available only for spontaneous action, not for spontaneous answers to questions. This prediction, too, is reflected in the data as the mat is moved spontaneously more often to A than there are spontaneous answers to questions (anticipate-protagonis t and reflect-mat-move question combined: w2 (1,38) = 3.37, p < .05, one-tailed). Also reassuring for the implicit-knowledg e hypothesis is the fact that the relative incidence of looking to A in the anticipate-protagonis t condition, i.e. spontaneous eye movements for the whole sample (left most column in Fig. 1), does not exceed and closely matches the incidence of spontaneously moving the mat to A. Misinterpretatio n hypothesis Our critical test of the misinterpretation hypothesis was children’s answers to the reflect-mat-move question. The hypothesis predicts that children (1) perform better on this than on the anticipate-protagonis t question and (2) give as many A answers to this question as children look to A, or (3) move the mat to A. This is so because the misinterpretatio n depressing performance on the anticipate-protagonis t question does not apply to the reflect-mat-move question. Clearly, Fig. 1 or the A:B ratios in the penultimat e row of Table 2 show little evidence for prediction (1) of superior performance on the reflect-mat-move question over the anticipate-protagonis t question (w2 (1,48) = .10, p > .50, one-tailed). The available evidence actually speaks against prediction (2) that the reflect-mat-move question should be answered as often with A as children look to A. As Fig. 1 and Table 2 show, there is a substantial difference (w2 (1,48) = 5.33, p < .05, two-tailed). Moreover, there also seems to be a difference between mat moving and the reflect-matmove question that speaks against prediction (3), but this difference is not statistically reliable (w2 (1,48) = 1.70, p > .10, two-tailed). 428 Wendy A. Garnham and Josef Perner Temporal stacking hypothesis The significan t factor of timing in the logistic regression provides positive evidence for this hypothesis. However, what differentiate s it from the implicit-knowledg e hypothesis is the timing effect in the explicit question conditions (anticipate-protagonis t and reflect-mat-move questions). Although the difference between spontaneous and prompted answers in these conditions is not as marked as for mat moving, it is almost significan t (w2 (1,48) = 2.59, p < .06, one-tailed). This difference cannot be explained by any of the other hypotheses and speaks, therefore, specificall y for the temporal stacking hypothesis. However, the data also make clear that the difference between looking to A and answering the anticipate-protagonis t question with A cannot be accounted for fully by a difference in timing. The incidence of visual orienting responses to A (see Fig. 1) is higher than the spontaneous A responses in the two explicit question conditions—a difference predicted by the implicit-knowledg e hypothesis but not by temporal stacking (w2 (1,52) = 3.38, p < .05, one-tailed). Similarly, children move the mat spontaneously more often to A than they spontaneously answer the direct questions with A (w2 (1,38) = 3.37, p < .05, one-tailed). The fact that this aspect of the data cannot be accounted for by temporal stacking is also underlined by the significan t factor of condition after partialling out timing in the logistic regression analysis. Summary evaluation The implicit-knowledge hypothesis provides a reasonably good fit to the data. It can account for the difference between spontaneous and prompted (delayed) mat-moving responses and for the fact that moving the mat spontaneously is superior to answering direct questions—be it spontaneous or prompted. It cannot account for the timing difference in the direct question conditions. The temporal stacking hypothesis can account for the timing differences in all three conditions, but cannot account for the effect of condition independentl y of any timing differences . The misinterpretation hypothesis received no clear support, which does not mean that other forms of misinterpretation are not possible that might be compatible with the pattern of data obtained. GENERAL DISCUSSION The presented data provide support for the hypothesis that precocious understandin g of belief-based action expressed in children’s anticipatory eye movements (Clements & Perner, 1994) is implicit knowledge possibly lacking conscious awareness. The support for this hypothesis is twofold. First, the usability of precocious knowledge depends on the same factors as the use of implicit knowledge in adults. Secondly, the implicit knowledge hypothesis provides a better fit to the data than several performance hypotheses designed to support the explicit-knowledge-onl y hypothesis. The first kind of support for the implicit-knowledg e hypothesis is based on findings from adults’ implicit knowledge gained from processing visual information without conscious awareness (see Rossetti, 1998 for a review) in healthy participants perceiving visual illusions and in blindsight patients. Two factors are critical for participants ’ ability to use such implicit knowledge. The knowledge can be used for acting or False belief in action 429 orienting oneself in the world but not for answering a direct question about the state of the world, and any action must be carried out without delay. Both these factors seem necessary conditions for children’s use of their precocious understandin g of where a mistaken protagonist will go to find an object. Their precocious knowledge shows in their visual orienting to the world and in their spontaneous actions (mat moving) but not in their answers to direct questions (anticipate-protagonis t and reflect-mat-move question). Furthermore, children can use this knowledge only when acting spontaneously but not after hesitation and a prompt by the experimenter . The hypothesis leaves unexplaine d why there is also some advantage to answering direct questions spontaneously. The second kind of support for the implicit-knowledg e hypothesis comes from the fact that none of the alternative performance hypotheses (designed to save the explicitknowledge-onl y hypothesis) can account for the effectivenes s of both these factors. The lack-of-confidence hypothesis fails to explain why spontaneous mat moving leads to more A responses than spontaneous answers to direct questions. The temporal-stacking hypothesis can explain why there are timing difference s for action and for answers to direct questions, but fails to account for the fact that visual orienting responses and spontaneous mat moving yield more A responses than spontaneous answers to direct questions. Finally, the misinterpretation hypothesis cannot account for the fact that the A responses to the reflect-mat-move question were not higher than to the anticipateprotagonist question, and why they stayed less frequent than looking to A and spontaneously moving the mat to A. It should be pointed out that this negative evidence pertains, of course, only to the precise versions of these hypotheses considered at the beginning . It may not extend to new versions of, for example, the misinterpretation s hypothesis. As one anonymous reviewer pointed out, the anticipate-protagonis t question and the reflect-mat-move question are very similar with respect to using the continuous future, which presents a difficult y for children at this age. Some children therefore may be equally confused in both conditions and answer with location B in the false belief story because they take the point of the game to be moving objects from A to B. This would save the explicitknowledge-onl y hypothesis, because they could have explicit knowledge that shows in their visual orienting response and in spontaneous mat moving but becomes masked through their incomprehensio n of the future tense in the direct questions. Future research needs to investigate the possibility of such a misinterpretation. However, even this version of the misinterpretatio n hypothesis would not account for why children move the mat more often to A when acting spontaneously than when prompted to act. Apart from these performance hypotheses that we have considered from the outset, other suggestions have arisen of how to save the explicit-knowledge-onl y hypothesis. Zelazo, Frye, and Rapus (1996) suggested that the visual-orienting responses in the study by Clements and Perner (1994) are not implicit but rather abulic in analogy to the dissociation reported by these authors: children who can state explicitly the rule by which they should sort cards but, when given a card, sort it wrongly according to an old or predominant rule. The dissociation observed in the present research, however, is of a different nature. There is no evidence that children can state the correct rule (protagonist goes to A) and then fail to act accordingly (e.g. move mat to B). In fact, the evidence points in the opposite direction. 430 Wendy A. Garnham and Josef Perner Another possibility of avoiding any recourse to an implicit knowledge base is to suggest that the looking to A or moving the mat to A is not based on any knowledge. Rather, it is owing to an association created by the protagonist putting the object originally into that location. This association is also created in the true belief control story, but because the protagonist is also present when the object is moved to B, an association to B is formed as well, weakening the response tendency to look (move mat) to A in that condition. With the further assumption that associations operate faster than inferential reasoning (i.e. they are temporally stacked), this hypothesis can explain why spontaneous mat moving tends to be more likely to be directed at A than prompted moving. Despite its predictive potential, this hypothesis remains very implausible for several reasons. The competing association with B in the knowledge condition could at best reduce the response tendency towards A observed in the false belief condition and not reduce it to practically zero as is the case in all age groups (except for the group of children younger than 3 years). Moreover, this hypothesis also leaves unexplained why there are fewer spontaneous A answers to the anticipate-protagonis t question than spontaneous mat moves or visual-orientin g responses to A. A final attempt to explain the findings in terms of a single, exclusively explicit knowledge base follows the theory of graded representations by Munakata, McClelland, Johnson, and Siegler (1997). This theory is to explain why young infants in object permanence tasks show the A-not-B error more often in their manual search (looking erroneously for the object in location A where it had been hidden on previous trials instead of looking in the current location B) than in their looking behaviour (Diamond, 1988; Hofstadter & Reznick, 1996). The theory of graded representation is based on the workings of a connectionis t network and the assumption that an activation level of about 20% of the final asymptotic level suffices for governing eye movements, but that a level of 80% is required for manual search. This explanatio n has a certain similarity to our lack-of-confidenc e hypothesis (i.e. weak, unreliable activation governs exploratory eye movements but not action). Our findings, however, showed that mat moving is governed to practically the same degree by this weaker representation than eye movements. Moreover, the theory also fails to explain why spontaneous mat moving is more likely to be governed by this allegedly weaker but otherwise similar representatio n and why it is not used for answers to questions. In conclusion, the main finding in this study is that a precociously correct understandin g of where a mistaken character will look for an object is only revealed in (1) either visual-orientin g responses or actions but not declarative expressions of what is going to happen, and (2) in action only when these actions (mat-moving responses) are spontaneous but not when prompted. These two features find a clear parallel when implicit (unconscious and unable to be verbalized) knowledge dissociates from explicit knowledge under illusory perceptual conditions or neurological conditions (blindsight ) leading to a loss of conscious awareness. Hence, this pattern of results fits best the hypothesis that children’s precocious knowledge is based on an implicit understandin g without conscious awareness. Several performance hypotheses designed to show that this precocious knowledge could be based on explicit knowledge met with less success. 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Received 19 March 1999; revised version received 2 October 2000 Appendix Verbatim example of the false belief story of the football scenario Episode 1 This is Alan. If Alan wants something from this red box, he comes down the red slide. If he wants something from the blue box, he comes down the blue slide. Alan put his football in the red box. [Order of where he put the football was counterbalanced.] Then he climbed all the way up the steps and walked to the top of the slide. [Alan cannot be seen by the child once he has entered the door at the top of the steps.] Episode 2 All of a sudden, in came Rebecca. She wanted to play with the football. She took the football out of the red box and played with it. ‘I’ll go and get a drink now’, she said. She picked up the football and put it into the blue box in the other playground area. Then she went to get a drink. [Rebecca is moved behind the model out of sight. Two prompt questions are then asked to ensure that the children have attended to the critical story events.] Prompt question 1: Where did Alan put the football right at the beginning? Prompt question 2: Did Alan watch Rebecca move the football? [If any of these questions was answered incorrectly, the story was repeated from the beginning.] Episode 3 ‘I’ll go and get my football now,’ said Alan. [It was at this point on the video clip that the two independent raters were asked to determine where the child was looking preferentially . After the critical 2–3 s time period, the experiment proceeded with the experimenter asking the child either to move the mat to catch the protagonist (mat-moving condition) or give a verbal prediction of where the protagonist would look for the desired object (behavioural prediction condition). In both cases, the experimenter moved both clasped hands to the top of each slide.] Anticipated-action question (anticipated-actio n condition): Where is Alan going to look? Mat-moving instructions (mat-movin g condition): Quick! Move the mat to catch Alan as he comes down the slide! [Three memory questions were then asked to ensure that any failure to give a correct verbal or matmoving response was not owing to an inability to remember the critical story events.] Memory question 1: Where did Alan put the football right at the beginning? Memory question 2: Where is the football now? Memory question 3: Did Alan see Rebecca move the football?
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