Comparative judgments with numerical reference points

A model of subjective magnitude comparisons is explored, which assumes that subjects compare symbolic stimulus magnitudes with respect to a reference point. The reference point may be established implicitly by the question (e.g., “Which is larger?” vs “Which is smaller?”) or be presented explicitly (e.g., “Choose the stimulus closer to X.”). The model was tested in five experiments in which subjects judged which of two comparison digits was closer to (or further from) a reference digit. Regression analyses in three experiments revealed that reaction time depended on the ratio of the distances from the comparison items to the reference point. The other two experiments provided evidence that subjects can strategically vary the processes by which they compare stimuli to a reference point. The results indicated that subjects can perform various types of “analog arithmetic” using either the linear number scale or a nonlinear scale of subjective digit magnitude.     

The interpretation of universal affirmative propositions

It is proposed that All F are G is often given a ‘structure-neutral’ interpretation, as All, F, G, lacking a subject-predicate distinction. In the first experiment, children aged 6–7–8, and 11–12, and adults, acted out instructions like “Make a building in which all the yellow blocks are square”. The experiment demonstrated the dominance in children and decline with age of structure-neutral interpretations. In a second experiment, with the same age groups, propositions of the form All F are G, varying as to the factual inclusion relations expressed, were presented as the major premises of syllogistic items. The results indicated the presence of structure-neutral interpretations under some circumstances in adults as well as children, and also demonstrated the existence in all subjects of a ‘pragmatic processing’ mode that becomes less obligatory with age. In pragmatic interpretations, meaning is determined by previously known factual relations between the things which the words represent, rather than by grammatical relations between the words themselves.     

A functional measurement analysis of the development of dimensional coordination in children

The development of children's dimensional coordination was investigated using kindergarten, second, fourth, and sixth grade subjects (Ages 5, 7, 9, and 11 years, respectively), and an adult sample, by means of a perceptual estimation task requiring the subjects to match in total area a stimulus rectangle to an adjustable square stimulus. The problem was formulated using information integration theory, and the procedures and techniques of functional measurement were used in the analysis. Dimensional coordination was found to develop from a stage of total centration on one dimension to a stage of total decentration with equal weighting applied to both dimensions.Contrary to extant hypotheses, the vertical dimension was not the salient dimension for single dimension centerers. Rather, the spatial axis on which the compared-objects were placed determined the displacement of attention. When this frame of reference effect was controlled, the longer of the two dimensions was the salient dimension for centering subjects.     

Age changes in nonverbal decoding as a function of increasing amounts of information

A test of nonverbal decoding skill (the PONS test) was administered to 632 subjects of eight different age levels, ranging from third graders to adults (Ages 8–33 years). Females were more accurate than males, older subjects were more accurate than younger ones, and all samples tended to decode more successfully when more information was available. Three different analyses showed that the increase in accuracy with increasing amounts of information was more pronounced for the older than for the younger groups. This differential effectiveness in the utilization of available information was discussed in terms of processing capacity, effort, and strategies for sampling a diversity of cues.     

Development of natural language concepts: IV. The relationship between semantic organization and learning

In Experiment 1, 30 subjects at each of three age levels were shown pictures of unfamiliar “animals”. They were told two semantic attributes for each animal (e.g., kind and strong) and were asked to learn these sets so that, when shown a picture, the appropriate attributes could be recalled. The results indicated that the dimensional structure of the attributes had a strong effect on new learning for young children. Incongruent pairs of attributes (e.g., kind and ugly) were difficult to learn compared to congruent (e.g., kind and beautiful) or unrelated (e.g., kind and tall) sets. These results indicate: (a) Attribute structure is a factor in new learning; (b) 6-year-olds tend to organize the verbal labels for attributes into bipolar dimensions, rather than into independent clusters of attributes. The latter findings require reexamination of the meaning of previous word-association data which had been interpreted as indicating that 6-year-olds tend not to organize meanings bipolarly. Experiment 2 showed that the disruptive effects of incongruence on new learning disappears by college age.     

Training children's self-control: A field experiment in self-monitoring and goal-setting in the classroom

A field experiment investigated the effects of training in self-monitoring and goal-setting skills on classroom study behavior and academic achievement among elementary school students in an individualized mathematics program. In the Self-Monitoring Conditions, students were shown a simple system for observing and maintaining daily records of their own study behavior during their math classes; orthogonally, in the Goal-Setting Conditions, students were shown a simple method of setting and recording daily performance goals during their math classes. Exposure to self-monitoring procedures produced significant increases in both appropriate study behavior and in actual achievement in the mathematics program, while exposure to goal-setting procedures had no effect on either study behavior or academic achievement. Nor, contrary to expectation, did exposure to the goal-setting instructions enhance the effectiveness of the self-monitoring system. The implications of these results in terms of implicit and explicit models of self-reinforcement processes were discussed.