Extent,multiplying, and proportionality rules in children's judgments of area

The study examined children's use of multiplying and proportionality rules in judgments of area. In two experiments children judged the area of rectangles. Seven-year-olds used linear extent as an index of area. Eight- and nine-year-olds replaced the extent rule with the height × width rule. In a third experiment 8-through 11-year-olds were presented with a rectangle and a horizontal line representing the width of a second rectangle. Children were asked to indicate the height that would make the second rectangle equal in area to the first. The correct response was proportional to the product of the ratio of the widths of the two rectangles and the height of the first rectangle. Graphical and statistical analyses indicated that children applied the ratio rule to these judgments. The implications for Piaget's theory of cognitive development were discussed.     

Integrating velocity,time, and distance information: A developmental study

The development of understanding the relationships between velocity, time, and distance was investigated in three tasks. In each task, values of two dimensions were given, and 5-year-olds, 10-year-olds, and adults had to infer values of the third dimension. These inferences were made in all age groups. The integration rules were found to depend upon age and task. In the distance = time × velocity task, all age groups obeyed the normative multiplication rule. In the time = distance ÷ velocity task, the two older age groups obeyed the normative division rule, but the 5-year-olds shifted to a simpler subtraction rule. In the velocity = distance ÷ time task, which was the most difficult, the two older age groups simplified to use of a subtraction rule, and the 5-year-olds simplified even further to use of a distance-only rule. The knowledge level revealed for young children contrasts sharply with results from previous studies using Piagetian choice tasks, which apparently investigate selective attention to one dimension rather than conceptual understanding of relations.     

儿童行为与心理水平的特质推理的发展

选取4岁组、5岁组、7岁组、10岁组、12岁组儿童和成人共192名(各年龄组32名, 男女各半)为被试, 采用个别测查法考察学前和小学儿童行为与心理水平的特质推理发展。结果表明: (1)4岁时儿童已能进行行为水平的特质推理, 5岁时才能进行心理水平的特质推理, 即使用特质引发规则进行特质推理, 10岁时两者均达到成人水平。(2)4岁、5岁时儿童心理水平的特质推理显著落后于行为水平的特质推理, 至少7岁时两者处于同一水平上。(3)儿童使用概念相似规则而不是情境匹配规则进行行为预测。(4)4岁儿童不使用简单效价规则进行行为预测, 5岁及以上儿童使用简单效价规则, 但他们是在区分同一特质范畴和不同特质范畴的基础上、在较低的确定程度上使用该规则。     

Pacing strategy in trail running: A cognitive subtractive model of the affective balance between effort and pleasure?

The objective of the present study was to undercover the cognitive rules developed by athletes in pacing strategy during a trail running competition. Fifty participants completed a questionnaire on how decisions were made around pacing. Each questionnaire consisted of 12 scenarios that featured the two components of affective balance (effort and pleasure) as information cues. We applied repeated-measures analyses of variance and Tukey’s post hoc tests to the data. The results showed that pleasure and effort had a significant effect on deciding to reduce the pace and deciding to maintain the pace. The type of cognitive rule depended on the pacing outcome, with a subtractive integration rule when deciding to maintain the pace and a conjunction integration rule when deciding to reduce the pace. The presence of two different cognitive rules emphasized the importance of information integration in pacing strategy.     

Derived control by compound and single stimuli in a matching-to-sample task in children

A matching-to-sample procedure was used to investigate whether 9-year-old children would demonstrate the emergence of a derived compound-sample conditional discrimination following training in four interrelated single-sample conditional discriminations and vice versa, as adults did in previous studies. In Experiment 1, three out of three children demonstrated the emergence of a compound-sample conditional discrimination following training in four single-sample conditional discriminations. In Experiment 2, two out of three children acquired a compound-sample conditional discrimination and they demonstrated the emergence of four single-sample conditional discriminations; one of them did so only after being exposed to a remediation training and testing procedure. Training variables that facilitated discrimination emergence in both directions are discussed. In general, results showed that the sophisticated learning skills that are supposedly possessed by adults are not required to demonstrate the two types of derived control under study.     

Code switching by bilinguals: Evidence against a third grammar

Bilingual code switching within sentences (as in “The towel roja was dirty”) is often observed in bilingual communities. The present study addressed two issues. First, what is the nature of the grammatical rules that underlie code switching? Second, how do bilingual speakers acquire such rules? We addressed the first issue by obtaining judgments of the grammaticality of four types of sentences containing code-switched words. Judgments of acceptability seemed to be based on two rules: (1) Code switching can occur only when the code-switched words are positioned in accord with the rules for which they are approriate lexical items; (2) code switching within word boundaries is considered ungrammatical. We addressed the second issue by exploring the effects of age and code switching experience on the grammatical judgments of bilingual children and adults. Extensive code-switching experience did not seem to be necessary for bilingual speakers to know the grammatical constraints of code switching. This suggests that the constraints of code switching are based on the integration of the grammars of the two code-switched languages rather than on the creation of a third grammar. There were developmental changes in the judgments made to the sentences. All aged subjects found sentences that violated the word-order rule (1 above) unacceptable. However, the youngest children (8- to 10-year-olds) found mixing within a word acceptable. This developmental change could be due to a change in the grammar of code switching, in the ability to make metalinguistic judgments, or in the child's general knowledge about the nature of languages.     

When is a question not answered? The understanding of young children of utterances violating or conforming to the rules of conversational sequencing

Knowledge of the conventional rules of conversational sequencing enables a speaker or listener to evaluate the pragmatic use of an utterance. This study explored young children's ability to discriminate among utterances that violated or conformed to these rules (Experiment 1), and ability to explain rule violations (Experiment 2). In both experiments children were read short episodes containing utterances that conformed to the rules in that the utterances were used appropriately in the episodic context of utterance, or utterances that violated the conversational rules of contingency, relevance, or informativeness. In Experiment 1, kindergarten, and first- and second-grade children (5, 6, and 7 years of age) were asked to discriminate among the conforming and rule violating utterances by assigning each utterance to one of two female conventional and unconventional speakers. The results showed that the first and second graders, but not the kindergarten children, generally discriminated among the utterances. In Experiment 2, first and third graders (6 and 8 years of age) were asked to explain the rule violations. The results showed that only the third graders consistently generated correct explanations. These results suggest that children can use the rules of conversational sequencing to evaluate the need for an inference to the speaker's intent in deliberately violating a rule by 6 or 7 years of age, but do not correctly infer that intent until they are 8 or 9 years old.     

The Effects of Feedback on Perseverative Errors in Preschool Aged Children

Research using the Dimensional Change Card Sort (DCCS) showed that young children are usually able to sort accurately by an initial rule but are unable to switch to a new rule when the two rules conflict. In 2 experiments, the DCCS was modified to study the effects of feedback on 3- to 5-year-old children in a problem-solving task. In Experiment 1, half of the children in each of two age groups (36 to 44 months and 52 to 60 months) were administered the DCCS task using the standard (no feedback) procedure and the other half received feedback on their post-switch responses. Children who received feedback were able to categorize according to the new (correct) rule, whereas the children in the younger age group who did not receive feedback continued to perseverate. Experiment 2 with 3-year-olds replicated the results from Experiment 1 but found that children's successful performance with feedback on the card-sorting task did not lead to improved performance on the post-switch phase of a subsequent DCCS task. Successful performance under conditions of feedback in both studies implies that 3-year-olds are capable of shifting their response mode from one rule to an alternate rule under conditions that offer clear guidance. Poor performance on the standard version is interpreted to be a reflection of the inability to monitor their own task performance in the absence of clear contextual cues.     

The emergence of inferential rules: The use of pragmatic reasoning schemas by preschoolers

This study contrasts the pragmatic view with the natural logic view regarding the origin of inferential rules in conditional reasoning. The pragmatic view proposes that pragmatic rules emerge first, and the generalizations of these produce formal rules. In contrast, the natural logic view proposes that the formal rules emerge first and serve as a core that is then supplemented by pragmatic rules. In an experiment, scenarios involving conditional rules in different contexts, permission and arbitrary, were administered to independent groups of preschool children. To rule out the matching bias [Evans, J. St. B. T., & Lynch, J. S. (1973). Matching bias in the selection task. Br J Psychol 64, 391–397] as a possible explanation of reasoning performance, children were given conditional rules with a negated consequent. The results show that in the arbitrary context modus tollens (MT) was unavailable, and the use of modus ponens (MP) was unstable. In contrast, children in the permission context reliably used both MP and MT. In addition, they realized that a conditional rule does not imply a definite answer when the consequent holds. These findings suggest that, in their explicit forms, pragmatic rules emerge earlier than formal rules and in particular, even as basic a rule as MP is generalized from a context-specific form to a context-general one in preschool children.     

Development of decision making: sequential versus integrative rules

Decisions can be made by applying a variety of decision-making rules-sequential rules in which decisions are based on a sequential evaluation of choice dimensions and the integrative normative rule in which decisions are based on an integration of choice dimensions. In this study, we investigated the developmental trajectory of such decision-making rules. In the Gambling Machine Task, participants choose between options that differ in three dimensions: frequency of loss, amount of loss, and certain gain. The task was administered to 231 children and adolescents (age range=8-17 years). Latent group analysis of their performance allowed precise classification of the underlying decision rules. The majority of participants used sequential decision rules, and the number of evaluated dimensions in these rules increased with age. Integrative rule use decreased with age. We discuss these results in light of traditional developmental theories and fuzzy trace theory.     

The classification of children's knowledge: development on the balance-scale and inclined-plane tasks

R.S. Siegler (1981, Monographs of the Society for Research in Child Development, 46 C2, Serial No. 189) has shown that performance on several Piagetian tasks is governed by similar rule structures. The purpose of the first study was to extend his analysis to the inclined-plane task, replicate his original observations about development on the balance-scale task, and determine the consistency in children's rule usage across tasks. We found that Siegler's (1981) binary decision representations adequately characterized development on these tasks, and there was fair correspondence of rule classifications across tasks. An alternative classification procedure, used to diagnose the rules of children who failed our original classification criteria, showed that most of these children's performance patterns were very similar to Siegler's rule patterns. In the second experiment, we improved the diagnosticity of our rule-assessment protocol in light of F. Wilkening and N. H. Anderson's (1982, Psychological Bulletin, 92, 215-237) criticisms, and observed that many Rule III children's predictions were associated with those of integration rules on both tasks. Despite these methodological improvements, many children, especially 5- to 7-year-olds, evidenced use of centration and lexicographic strategies, suggesting that these classifications are not simply an artifact of problem sampling. Some of the problems associated with the classification of children's knowledge are discussed.     

Conservation training in four-year-old children

In Experiment 1 two training procedures were used to teach four-year-olds to conserve. Verbal rule instruction consisted of providing verbal rules and demonstrations of the operations referred to by the rules. Feedback consisted of providing verbal feedback contingent upon the children's responses. One week after training on conservation of number and length the children were given a posttest which included tests of conservation of number, length, and mass. Children who were given verbal rule instruction conserved significantly more on the number and length posttest problems than children who were not. However, this learning did not transfer to the mass problems, possibly because mass is not naturally acquired until some time after conservation of number and length. The feedback training procedure had no effect on conservation performance. In Experiment 2, the verbal rule instruction procedure was used to train four-year-olds on conservation of length and mass. One week after training the children were tested on both conservation of number, which is typically acquired before length and mass, and conservation of weight, which is typically acquired after length and mass, as well as on conservation of length and mass. Children who were given training conserved more on all four types of problems than children in the control group.     

小学儿童奖赏公平性的认知发展

采用信息加工研究途径并假设故事情境探索小学儿童对奖赏公平性的社会认知发展,并将儿童的发展与成人作对比。研究结果表明,７,９岁儿童容易将＂均等＂与＂公平＂混淆,还没形成一个稳定的分配模式,而１２岁儿童已能运用＂努力＂、＂成果＂、＂能力＂等规则较为稳定地作出公平奖赏决定或评价,但还没达到对更高层次的社会准则的理解和掌握。儿童这一发展制约于他们的信息加工能力以及获得有关社会价值观的社会化过程。     

Judgment of rectangular areas in children blind from birth

Many studies in the framework of information integration theory have been dedicated to the judgment of rectangular areas in young sighted individuals. Many integration rules have been proposed (e.g., multiplicative, additive, maximum extent, relative centration, length only, width only) and tested, but uncertainties persist concerning the fine integration process. In order to shed light on this process, we turned to a population of young children blind from birth, 6 to 8 years of age, and examined in detail their gestural strategies when placed in an area evaluation situation. The following prudent conclusions appear justified: (a) that the strategy of acquisition and integration of information was a very markedly dimensional strategy; (b) that this strategy could be accompanied by attempted tactile scanning of the two dimensions; and (c) that the integration process obeyed an additive type rule, with greater weight attributed to the larger dimension (relative centration rule).     

Interference and integration: The fan effect in children and adults

In three experiments, we explored (1) possible developmental changes in interference and (2) the use of integration processes to eliminate them. Two versions of the fan effect procedure were used. Results of Experiment 1 with unrelated sentences showed similar fan effects for 12-13-year-old children and adults. In Experiment 2, the sentences were thematically related so that it was possible to use elaboration processes to construct integrated representations. Under these conditions only adult participants eliminated the fan effect. In Experiment 3 a new procedure was used where children and adults studied highly familiar material in an organised manner. The results showed that in these conditions children integrated information and reduced interference. Thus, prior knowledge and organisation seem to be important factors to create meaningful integrated representations in memory.     

Interference and integration: the fan effect in children and adults

In three experiments, we explored (1) possible developmental changes in interference and (2) the use of integration processes to eliminate them. Two versions of the fan effect procedure were used. Results of Experiment 1 with unrelated sentences showed similar fan effects for 12-13-year-old children and adults. In Experiment 2, the sentences were thematically related so that it was possible to use elaboration processes to construct integrated representations. Under these conditions only adult participants eliminated the fan effect. In Experiment 3 a new procedure was used where children and adults studied highly familiar material in an organised manner. The results showed that in these conditions children integrated information and reduced interference. Thus, prior knowledge and organisation seem to be important factors to create meaningful integrated representations in memory.     

Accessing similarity and dimensional relations: effects of integrality and separability on the discovery of complex concepts

A series of studies investigated how stimulus integrality and separability impact the cognitive accessibility of similarity and dimensional relations. A good deal of previous work has established that stimulus integrality and separability differentially determine perception; here, the question is whether they also have differential effects on conception. Are the principles that govern perception also principles that can be readily discovered in concept learning tasks? Is a similarity-based rule especially easy to abstract from integral stimuli and a dimensionally-based rule especially easy to abstract from separable stimuli? In Experiments 1 and 2, we measured the relative ease with which the two types of rules (similarity and dimensional) are discovered by adults with the two types of stimuli (integral and separable). In experiment 1, the two rules were made redundant and we asked which rule the subjects learned. In Experiment 2, one rule was made relevant and the other irrelevant, and we compared relative speeds of learning. The results from the studies led us to conclude (a) that dimensionally based rules are more accessible from separable than from integral stimuli; (b) that similarity-based rules are more accessible from integral than from separable stimul; and (c) that, in general, subjects have a bias to access dimensional relations in this type of task. Experiment 3 pursued an additional suggestion from Experiments 1 and 2 that the dimensional relations within integral stimuli are sometimes accessible, more so when larger interstimulus differences are encountered. In confirmation, Experiment 3 demonstrated that adult subjects are more successful in applying a dimensional rule to pairs of integral stimuli that differ by a small amount if they also have exposure to pairs of integral stimuli that differ by a large amount. In a later discussion, it was argued that such a finding is consistent with the notion that the "dimensions" of integral stimuli are merely arbitrary directions in the integral stimulus space, and some relevant pilot data to that effect were presented. Finally, Experiment 4 took up a developmental issue. Young children have sometimes produced perceptual responses governed by similarity relations when presented with stimuli that are separable for adults. Will they more readily access similarity-based or dimensionally-based relations from such stimuli in the concept learning tasks here? The results showed that both kindergarteners and fifth graders more readily access the dimensional relations. A final discussion integrated the findings from the several experiments, taking up the following issues: (a) the relation between the perception and the conception of stimulus relations and (b) the nonprimacy of the dimensional axes in the integral stimulus space.     

A “misrepresentation” of method as theory : Reply

Previous studies on the development of problem-solving skills in compensation tasks suggest that sequential decision theory more accurately describes the earlier phases of development than information integration theory. Compared to information integration theory, sequential decision theory appears to provide a more valid representation of children's and adults' processing of simpler compensation problems. On more developmentally advanced compensation problems, adults appear to use a variety of strategies. Information integration is capable of describing many of these patterns accurately. However, detailed analyses of performances by children and adults indicate that processing compensation problems by algebraic integration is the exception, rather than the general rule.     

Simultaneous temporal processing

Seven experiments assessed the ability of rats to process temporal information from two internal clocks simultaneously and independently. In the first six experiments a light stimulus signalled an overall interval between the beginning of a trial and the availability of food reinforcement (e.g., a 50-s fixed interval). During the overall interval a sound stimulus was used to signal shorter intervals that divided the overall interval into equal segments. When there was a fixed temporal relation between the final segment signal and the availability of reinforcement, there was a double-scallop pattern of responding throughout the segmented overall interval; the function relating response rate to time during segment intervals was similar to the function relating response rate to time in unsegmented overall intervals; a change in response rate occurred at the time that a normally presented segment signal was omitted. Taken together, the results indicate that rats timed the overall interval and the segment intervals simultaneously and independently without interference. In Experiment 7 a light stimulus was used on some trials, and a sound stimulus was used on other trials to signal a discrete-trial 50-s peak procedure. When these two signals were presented in compound, there was a leftward shift of the response function, which suggests that rats timed both signals simultaneously. For all of the experiments a scalar timing model with specific stimulus integration rules is used to explain the results. The stimulus integration rule used in the first six experiments, in which there were two signals for the same reinforcement, was to respond if both the segment and the overall interval had exceeded a response threshold. The stimulus integration rule used in Experiment 7, in which there were two signals for different reinforcements, was to respond if the response threshold for either interval had been exceeded.