The development of procedural knowledge: An alternative explanation for chronometric trends of mental arithmetic

In a review of the Chronometrie literature, M. H. Ashcraft (Developmental Review, 1982, 2, 213–236) concluded that the development of number fact efficiency is due to a shift from relying on procedural knowledge such as counting to relying on declarative knowledge (a stored network of facts). This model assumes that all procedural processes are slow or remain slow, which is probably not the case. An alternative account posits that the key change in number fact efficiency involves a shift from slow counting procedures to principled procedural knowledge. As rules, heuristics, and principles become more familiar and interconnected, their use, for example, in producing the number facts becomes more automatic. The use of such procedural knowledge would be cognitively more economical than storing individual facts in long-term memory. Finally, existing Chronometric data can readily be interpreted in terms of this alternative model.     

A reexamination of mental arithmetic models and data: A reply to Ashcraft

In a review of the chronometric literature, M. Ashcraft (1982, Developmental Review, 2, 213–236) concludes that adults store each basic arithmetic fact in a table-like retrieval network. In my commentary (1983, Developmental Review, 3, 225–230), I argued that procedural knowledge (stored rules, principles, or heuristics) might be a cognitively more economical basis for generating many number combinations. In this paper, I draw an analogy between this alternative model of number fact representation and how computers efficiently reconstruct arithmetic combinations, note that the research findings do not clearly support any one model of mental arithmetic, and attempt to address Ashcraft's (1983, Developmental Review, 3, 231–235) criticisms of my model.     

An investigation of serial learning and retention processes in children

Three studies investigated both serial learning (SL) and retention processes among first through sixth graders. SL processes were evaluated for both pictorial and verbal materials by use of a probing methodology, and retention processes were studied as a function of the amount of intratask interference during original learning. All three SL stimuli considered (prior item, serial position, and prior-item cluster) were found to be functional, although the prior-item stimulus was most frequently used. Additionally, SL rate was found to improve with increasing age. The introduction of interference into SL through acoustic, associative, or semantic similarity facilitated retention in control as well as proactive and retroactive inhibition conditions. Pictorial serial list items improved SL performance only for second, third, and fourth graders, while fifth graders performed better with verbal materials and sixth-grade performance was comparable in both presentation modes.     

The perceptual span and peripheral cues in reading

Skilled readers read passages that were displayed on a Cathode Ray Tube controlled by a computer. The readers' eye movements were monitored and certain critical words were changed by the computer as the eye was in motion. The experimental technique utilized in the study provided data on how wide the area is from which a reader acquires information during a fixation in silent reading. The results also delineate different types of visual information that are acquired from various areas within the perceptual span. It was found that a reader was able to make a semantic interpretation of a word that began 1–6 character spaces from his fixation point. When he fixated 7–12 character spaces prior to a word, he was able to pick up such gross visual characteristics as word shape and initial and final letters. It was concluded that the skilled reader is able to take advantage of information in the periphery. However, the size of the area from which he does is rather small.     

Performance evaluation: On choosing to know the related attributes of others when we know their performance

It was hypothesized that people will choose to find out about the performance attributes of others who perform similarly to themselves if they believe the attributes are related to performance. Subjects within a group of nine were supposedly given different amounts of practice prior to taking a test on which performance was said to be either related or unrelated to practice. After taking the test, each subject was given his score, his rank order in the group, and the score obtained by each of the other group members. The subject was then allowed to find out about the number of items practiced by one other person in the group. A second choice was also given. On both first and second choices, subjects in the related condition chose to learn about others who were adjacent to them in the rank order. Subjects in the unrelated condition chose to learn about others with extreme scores. First choices in both conditions were strongly biased upward, supporting the unidirectional drive hypothesis.     

More precisely defining and measuring the order-irrelevance principle

R. Gelman and C. Gallistel (1978, Young Children's Understanding of Number, Cambridge, MA: Harvard Univ. Press) use two definitions of the order-irrelevance principle interchangeably: (1) count tags do not have to be assigned in a fixed order and (2) the order in which elements of a set are enumerated does not affect the cardinal designation of the set. A study involving 107 kindergarten and first grade children indicates that the two are actually distinct concepts. Apparently, a willingness to arbitrarily assign tags is a developmentally less sophisticated ability than--and hence does not necessarily imply--an ability to predict that differently ordered counts produce the same cardinal designation. Thus it appears that evidence of the second ability is necessary to infer a full understanding of the order-irrelevance principle. The first ability alone implies what might better be termed an "order-indifferent tagging scheme." Suggestions for measuring and further researching the order-irrelevance principle are discussed.     

Hemispheric specialization in reading and word recognition

Three experiments dealing with hemispheric specialization are presented. In Experiment 1, words and/or faces were presented tachistoscopically to the left or right of fixation. Words were more accurately identified in the right visual field and faces were more accurately identified in the left visual field. A forced choice error analysis for words indicated that errors made for word stimuli were most frequently visually similar words and this effect was particularly pronounced in the left visual field. Two additional experiments supported this finding. On the basis of the results, it was argued that word identification is a multistage process, with visual feature analysis carried out by the right hemisphere and identification and naming by the left hemisphere. In addition, Kinsbourne's attentional model of brain function was rejected in favor of an anatomical model which suggests that simultaneous processing of verbal and nonverbal information does not constrict the attention of either hemisphere.     

Components of geometric analogy solution

Geometric analogy solution was investigated as a function of systematic variations in the information structure of individual items. Latency data from the verification of true and false items indicated that individuals decompose figural patterns in a way that represents a sequential determination of the various elements that need to be isolated. They also appear to identify and evaluate the transformations applied to elements in a way that represents a sequential determination of the separate or successive transformations that fully specify an item rule. Analysis and evaluation of transformations took more time than element analysis and was the primary source of errors. The combined effects of element and transformation processing violated a simple additive model and the best fitting functions suggested that nonadditive increases in solution latency and error rates were due to working memory limitations associated with the representation and manipulation of item features at high levels of rule complexity. Correlational data also indicated that these factors partially account for individual differences in performance on psychometric tests. The latency and error data for true and false items are used to develop a general theoretical system that incorporates assumptions about the form of item representation, working memory factors, and processing components and strategies in analogical reasoning tasks.     

The aftermath of heresy: a response to Pendery et al.'s (1982) critique of "Individualized Behavior Therapy for Alcoholics"

A point-by-point response is presented to Pendery et al.'s (1982) critique of the study “Individualized Behavior Therapy for Alcoholics (IBTA)”. Two independent, external investigations have critically examined the original records from the IBTA study. The IBTA study compared two different techniques for treating poor-prognosis, chronic alcoholic state hospital patients. It was found that a broad-spectrum behavioral treatment oriented to controlled drinking was a more effective treatment than was the standard hospital treatment program based on conventional wisdom. The Pendery et al. critique gave the appearance of being a refutation by presenting findings for only one group of Ss in a comparative study. In this response, it is shown that the experimental and control Ss were justifiably classified as gamma alcoholics, that Ss were randomly assigned to groups, and that the two groups were comparable in terms of pretreatment characteristics. Moreover, as regards the originally reported 2-yr treatment outcome findings, it is shown that Pendery et al, reported no specific events which were not already documented in the original study records which formed the basis for publications about the IBTA study. Finally, even in terms of long-term outcomes, i.e. mortality rates 10–11 yr after treatment, the experimentally-treated group (20% mortality) continued to fare better than the traditionally-treated group (30% mortality). Ironically, rather than Pendery et al.'s report being a refutation of the original published accounts of the IBTA study, it is concluded that the data reported by Pendery el al. actually strengthen the validity of the original publications. The attack on the IBTA study can be meaningfully viewed as a reflection of the scientific revolution presently underway in the alcohol field. The central impetus for conceptual change in the alcohol field, however, derives less from controlled-drinking research than from the lack of empirical support for conventional wisdom. Ideas are changing because the traditional view no longer inspires progress.     

Age- and task-related differences in the use of category-size information for the retrieval of categorized items

Both the accuracy of category-size information and its use during the retrieval of categorized materials were investigated among kindergarten (5-year-old) and third-grade (8-year-old) children. Subjects were asked for free recall of a 34-item, categorized list wherein eight categories contained varying numbers of items. Subjects recalled items under either limited-time or unlimited-time conditions. Additionally, subjects were tested under one of three instructions: they were provided with the size of each category (Informed group), they were asked to estimate the size of each category (Estimation group), or they were given standard free recall instructions. Analysis of both the amount recalled and intercategory pause times indicated that third-graders' use of category size information was spontaneous, while kindergartners used the size information only when explicitly provided with it or asked for size estimates. Also, kindergartners' estimates of category size were much more in error than those of third-graders, although both groups erred on the side of underestimation. Importantly, when recall time limitations made the use of exhaustive category search less appropriate, third-graders were more apt to modify their search strategies.     

Controlling nonverbal displays: Facial expressions and tone of voice

This study investigated the hypothesis that facial expressions are more controllable and closer to one's awareness than vocal cues. Specifically, it was suggested that nonverbal displays are a function of three factors: (a) expressiveness, or the tendency to display spontaneous nonverbal cues: (b) controllability, or the ability to voluntarily suppress or exaggerate one's spontaneous display: and (c) demeanor, or the sender's tendency to convey a particular impression regardless of his/her experienced emotion. Subjects' facial and vocal reactions to affective stimuli were recorded in a spontaneous condition or under instructions to magnify or conceal reactions to these stimuli. It was shown that information conveyed by facial expressions was best accounted for by controllability whereas information conveyed by tone of voice was best accounted for by expressiveness and demeanor.     

Performance of pigeons on delayed simple and conditional discriminations under equivalent training procedures

A pair of experiments investigated the short-term memory of pigeons under delayed simple and conditional discriminations. Trial sequences in both discriminations consisted of a color as the sample stimulus, a memory interval, a line orientation as the test stimulus, and a trial outcome, which was either food reinforcement or blackout. Pecking rates during the test stimulus defined discrimination performance. In the simple discrimination, the sample provided the necessary information regarding the subsequent trial outcome. In the conditional discrimination, the sample and test stimuli conjointly provided this information. In Experiment 1, the two procedures were compared with independent groups of pigeons. In Experiment 2, the comparison was made within subjects. The simple discrimination was acquired more quickly and was performed better with a memory requirement. Introduction of long delays disrupted performance even at shorter delays in both discriminations. Postulation of prospective as well as retrospective mediating processes facilitates the interpretation of these results.     

The other way around: Effects of causal attributions on estimates of consensus,distinctiveness, and consistency

It was hypothesized that the attributed cause of a given person's behavior will affect inferences about its generalizability over persons (consensus), stimuli (distinctiveness), and circumstances (consistency). Moreover, these effects were expected to parallel the effects of consensus, distinctiveness, and consistency information on causal attributions. Experiment 1 provided support for these predictions but also showed that attribution affected consensus judgments less than it affected judgments of distinctiveness and consistency, particularly when consensus was not the first characteristic estimated. Using a different set of stimulus materials and a different manipulation of attribution, Experiments 2 and 3 provided further evidence for the effects of attribution on inferences of consensus information. Experiment 3 indicated that the false consensus effect—actors' tendency to assume that the majority of people share their behavior—may be due to actors' tendency to attribute their behavior to situational factors. Implications of the present studies for biased estimates of consensus and the use of consensus and attribution as mediating variables are discussed.     

Related attributes in the choice of comparison others: It's there,but it isn't all there is

Subjects within a group of nine were supposedly given different amounts of practice prior to taking a test on which performance was either related or unrelated to practice. After taking the test, each subject was given his score, his rank order in the group, and the amount of practice presumably done by each of the other group members. The subject was then given a choice of which performance score he would like to know; a second choice was also given. On both first and second choices, subjects in the related condition were more likely to choose to see the scores of others with the same amount of practice. Related condition subjects were more interested in their comparison choices and thought they had done better on the task than unrelated subjects. In addition to this confirmation of the related attributes hypothesis, there was a significant tendency toward comparison on the basis of similarity of performance per se and a significant tendency toward upward comparison.     

Facial and vocal cues of deception and honesty

Facial expressions and vocal cues (filtered speech) of honest and deceptive messages were examined in posed and spontaneous situations. The question of interest was the degree to which nonverbal cues transmit information about deception. Results indicated that (a) for both the facial and vocal channels, posing (as compared to spontaneous behavior) produced a higher level of communication accuracy; (b) facial expressions of deceptive (as compared to honest) messages were rated as less pleasant, while vocal expressions of deception were rated as less honest, less assertive, and less dominant, particularly in the posed condition; (c) the sender's ability to convey honesty was negatively correlated with his/her ability to convey deception, suggesting the existence of a demeanor bias—individual senders tend to appear and sound consistently honest (or dishonest) regardless of whether they deliver an honest or a deceptive message; (d) in the posing condition, the sender's abilities to convey honesty/deception via facial and vocal cues were positively and significantly correlated, whereas in the spontaneous condition they were not; and (e) senders whose full (unfiltered) speech indicated more involvement with their responses were judged as more honest from both their vocal (filtered speech) and facial cues, in both the honest and deceptive conditions.     

Consistent curricular choice and congruence of subsequent changes

Curriculum choices of 324 male and 157 female liberal arts students who took the Strong-Campbell Interest Inventory (SCII) during freshman orientation were classified as congruent or incongruent on the basis of rated correspondence between three-letter codes derived from (SCII) Holland theme scales and expressed curricular choice. The choices of those subjects reporting one or more changes in five semesters were examined for level of congruence using a two-way analysis of variance with repeated measures. While serious methodological limitations are noted, analysis of variance procedures indicated that congruent subjects tended to be more stable, more differentiated, and more academically oriented than incongruent subjects. Among subjects who reported one or more changes, Artistic subjects decreased in congruence while Investigative subjects showed no overall change. Results are discussed in terms of recent theory and previous research.     

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.     

Parafoveal identification during a fixation in reading.

This paper deals with the extent to which the perceptual span in reading differs as a function of grammatical categories. Subjects read short passages of text and their eye movements were monitored as they did. Irregularities were entered into the text in the subject, verb, or object location of active sentences. Eye movement data were analyzed to determine how far from these various locations the readers were aware of the irregularities. Although there were no differences due to the different parts of speech employed, there was evidence that the perceptual span varied at different locations in text. It was found that readers seldom fixated between sentences and when they did, they were obtaining little information from parafoveal vision.