Children's judgments of numerical quantity: A new view of early quantification

Three experiments investigated the role of length, density, and number dimensions in children's numerosity judgments of linear arrays of beads. The number dimension is physically defined by a length × density rule. Judgments based, even in part, on the number dimension would show signs of a length × density rule. Experiment 1 examined numerosity judgments of large arrays. Results showed that judgments by 3- and 4-year-olds obeyed a length + density rule, providing cogent evidence for a general adding strategy in young children's judgments of quantity. The physical length × density rule emerged gradually with increasing age. Experiment 2 showed that numerosity judgments of small arrays by 3- and 4-year-olds obeyed a length × density rule, indicating response to the number dimension. This result was expected and thereby validated the linearity of the response scale at the youngest ages. Experiment 3 verified the integration rules for individual 3- and 4-year-olds. The integration rules were interpreted in terms of Piaget's stages of the development of quantification. No evidence for Piaget's initial stage was found. This leads to a new view of early quantification which grants young children the ability to integrate stimulus dimensions.     

The dispositional shift in attribution over time

Two experiments examined the effect of time on causal attributions. In Experiment I, subjects who described themselves into a tape recorder assumed more personal responsibility for their behavior after 3 weeks' time than others who explained their behavior immediately after its occurrence. In Experiment II, actor-subjects took part in a getting acquainted conversation and explained their behavior more dispositionally and less situationally after 3 weeks' time than they had initially, while observer-subjects experienced no change over time. Results were interpreted in terms of an altered self-perspective in memory and the diminished salience of situational details over time.     

The effect of training and stimulus variables on the reversal-shift ontogeny

Linear functions fitted to the proportion of optional reversal-shifts as a function of log CA were used to assess the effect of stimulus and training variables on the reversal-shift ontogeny. The results were: (1) when the dimensional salience of the two sets of cues in the stimulus compound were similar, there was no significantly different effect of size, color, or form cues on the rate parameter, suggesting that the rates of mediational development for these cues are similar. Reversal-shifts were, however, more likely with the color-form compound than with the size-color compounds throughout the tested age span, indicating that some stimulus conditions are more likely than others to produce mediated processing at all age levels. (2) The facilitative effects of labelling on reversal-shifts were greatest at the younger ages and decreased systematically over age. (3) Overtraining increased reversal-shifts at most ages but whether the facilitative effect interacts with age remains moot. (4) Neither labelling nor overtraining eliminated ontogenetic differences.     

The group attribution error

There is a parallel between our tendency to infer the attitudes of an individual on the basis of his or her behavior, regardless of the external constraints (Jones & Harris, 1967; Ross, 1977), and our tendency to infer the attitudes of a group on the basis of the group's decision, regardless of the group decision rule. The present research focuses on this latter process. What we term the group attribution error consists of the tendency to assume that group decisions reflect members' attitudes. This assumption can be erroneous because group decision rules, in addition to members' attitudes, can influence group decisions. In Experiment 1, members of a community in which a water conservation law was or was not instituted were assumed to have correspondent attitudes, regardless of how the community decision was made. In Experiments 2 and 3, subjects inferred a greater correspondence between out-group decisions and out-group attitudes than between an in-group decision and in-group attitudes. The fourth experiment found that subjects committed the group attribution error because they attended as much to the outcome of a recall election as to the actual proportion of voters for and against the recall. Finally, Experiment 5 showed that subjects' inferences of jury members' attitudes were influenced not only by the final jury vote but also by the actual decision, which was determined by the vote plus the decision rule by which the jury was bound. The results are related to previous research on the fundamental attribution error, stereotyping, and polarized appraisals of out-groups.     

Functional significance of stimulus orientation: effects on orientation discrimination.

Children (6- and 9-year-olds) and adults were required to discriminate identical pairs of visual stimuli from mirror images. It was hypothesized that a key factor in performance would be the extent to which orientation was a functionally significant attribute of the stimuli. Two variables were manipulated, type of orientation discrimination and stimulus class. The first variable refers to the fact that the mirror images could be produced by either left/right or top/bottom reversals. Three classes of stimuli, varying in the extent to which a particular orientation was emphasized, were used: mobile objects (for which left/right orientation is assumed to be important); stationary objects (which lack comparable relevance for left/right orientation); and novel, abstract forms. The prediction was that if the discrimination task involved left/right reversals, as contrasted with top/bottom reversals, subjects would show an advantage for mobile objects, producing an interaction between stimulus class and orientation discrimination. In the first study, the subjects were children and performance was measured in terms of error rates. In the second study adults were tested, and reaction times were measured. Both studies manifested the predicted interaction. Results are discussed in terms of an information-processing framework, in which the incorporation of orientation-related features in the code representing a stimulus varies with the functional significance of the orientation to the stimulus class.     

VOT discrimination by four to six and a half month old infants from Spanish environments.

Thirty 4–6.5 mo-old-infants from monolingual Spanish speaking homes were tested for discrimination of bilabial stop consonants differing in VOT. Discrimination was determined by the habituation and dishabituation of the orienting reflex as indexed by cardiac deceleration. Subjects were placed in one of three groups of ten subjects each. The three groups were used to determine whether bilabial stops with VOT values of ?60 and ?20 msec, ?20 and +20 msec or +20 and +60 msec could be discriminated. Subjects were presented eight trial blocks of ten repetitions of a CV syllable; these eight trial blocks were followed by two trial blocks of ten repetitions of a different CV syllable. The only difference between the CV syllables presented during the first eight and the last two trial blocks was the VOT value of the bilabial stop consonants. Subjects in the ?20 and +20 msec group showed no signs of being able to discriminate these stimuli while the subjects in the ?60 and ?20 msec group and the +20 and +60 msec group did. These results correspond to those reported for infants from English speaking families but do not correspond to those reported for Spanish speaking adults. Thus, the failure to find evidence of discrimination in the ?20 and +20 msec group suggests that experience has little effect in determining bilabial stop phonetic categories in 4–6.5 mo-old infants.     

A theory of catharsis

This paper first discusses the history of the idea of catharsis, suggesting that the differences between the advocates of catharsis and its critics may be reconcilable. A definition of emotion is proposed which involves interactions between biological, psychological, and social systems. This definition gives rise to a theory of catharsis which seems to reconcile the claims of the advocates of catharsis with the criticisms that have been made of their claims. The discussion of the theory also suggests methods of testing it. As a preliminary example of one such test, the results of a pilot study of the effects of laughter on tension levels are presented.     

An information-processing approach to attribution of responsibility

The research literature on defensive attribution of responsibility is reviewed within the framework of a nonmotivational information-processing model which proposes that attributed responsibility is a function of the difference between the perceived contingent probability (congruence) of an outcome, given a perpertrator's behavior, and the noncontingent probability (prior expectancy) of that outcome. Results of previous research on effects of the characteristics of outcomes, perpetrator, and victim on responsibility ratings are reinterpreted in terms of the influence these factors have on estimates of congruence and prior expectancy. Secondary analyses of data from a recent study of causal reasoning resulted in a correlation of .78 between attribution of responsibility and a simple additive model of estimated contingent and prior probabilities of an accident.     

Effects of counselor sex,student sex,and student attractiveness on counselors' judgments

Thirty-two male and thirty-two female high school counselors in a large metropolitan school district were provided with routine student profile data and asked to make predictions about the student's potential for post-high school education and to suggest occupations for the student to explore. All data reviewed by the counselors were identical except for a photograph of the student attached to the profile. Within counselor sex groups, counselors were randomly assigned to one of the following four photograph conditions: (a) attractive female; (b) unattractive female; (c) attractive male; and (d) unattractive male. Male subjects were found to discriminate on the basis of student sex when they suggested occupations for the student to explore. Predictions of post-high school education and the social status of suggested occupations were not found to be related to counselor sex, student sex, or student attractiveness.     

Some deterministic models of concept identification

It is shown that deterministic models can compete effectively with stochastic models in summarizing concept identification behavior. Three groups of deterministic models are examined. Examination of individual learners' trial by trial behavior in a concept experiment shows: (1) One person exhibited behavior consistent with a Hypothesis Permutation (HP) model despite being a nonlearner who showed no evidence of improvement over a period of 24 trials. However, when all 50 persons studied in each of two treatment groups were examined, only 22 members of one group and 10 of the other showed no inconsistencies with deterministic local consistency assumptions. (2) Certain deterministic computer programs could find at least one satisfactory order for predicting all responses by 18 of the 22 consistent solvers and 6 of the 10 consistent solvers, respectively, in the two groups just mentioned. For these 24 persons, then, a less restrictive deterministic model is adequate than for the others. (3) Those 38 original members of the first treatment group who met a stringent learning criterion were compared with respect to predictions generated by stochastic and mathematized deterministic models. One deterministic model (RSS-U 9-state) is in some respects the best of the models examined, but this success is a partial reflection of estimating eight parameters from the data.     

Individual differences in process outcomes for verbal analogy and classification solution

Adult performance on verbal analogy and classification problems was assessed in terms of the outcomes of process execution. Measures were obtained for the accuracy of stem processing and subsequent alternative processing. The process-outcome measures obtained within each task accounted for overall performance scores and were differentially related to ability. This was shown by ability differences in the models accounting for subjects' overall accuracy and in the correlational patterns. Analogy and classification problem forms differed in the measures most important for predicting individual differences. Specifically, measures of alternative processing were more important in classification than analogy solution and application was shown to be important for analogy solution. In addition, common process-outcome measures showed the highest correlations across problem forms, consistent with the assumption that both induction tasks tap similar psychological processes. The results are discussed with respect to previous studies assessing commonality and individual differences among children in process-outcomes.     

“Penis envy” and attitudes toward castration-like punishment of sexual aggression

Psychoanalytic hypotheses that relate the construct of “penis envy” to the enactment of castration responses toward sexual aggressors were examined by requiring females to evaluate an anthropological film that presented multilations of male genitals. High or low penis envy was determined from responses to Blacky Cartoon VI; the mutilations were presented as cultural rites de passage or as tribal punishments for sexual misconduct. Evaluations of the film showed that interactions predicted by psychoanalytic theory were obtained for subjects' approval of the mutilations, approval of their adoption in the United States, belief that other women should view the film, and desire to see the film again. The analog suggests that penis envy leads to the punishment of sexual aggression, and several psychoanalytic hypotheses for further experimentation on this construct are presented.