The production and verification tasks in mental addition: An empirical comparison

We respond to A. Baroody's comment (1984, Developmental Review, 4, 148–156) with an empirical comparison of the production and verification tasks. With the exception of performance at the first grade level, the two tasks yield essentially identical conclusions. The results of an adjunct task, in which the rate of mental counting was assessed, suggest that children as young as second grade are relying on memory retrieval to a significant degree. In contrast to Baroody's speculation, there appear to be no widespread difficulties associated with results from the verification task. Furthermore, the task permits a more analytic examination of performance and underlying mental process than is afforded by the production task. We conclude by reiterating the empirical support for a model of fact retrieval, and suggesting that accessibility of the arithmetic facts is the basic factor which underlies both fact retrieval and procedural knowledge performance.     

Mental addition in third,fourth, and sixth graders

Research on mental arithmetic has suggested that young children use a counting algorithm for simple mental addition, but that adults use memory retrieval from an organized representation of addition facts. To determine the age at which performance shifts from counting to retrieval, children in grades 3, 4, and 6 were tested in a true/false verification task. Reaction time patterns suggested that third grade is a transitional age with respect to memory structure for addition—half of these children seemed to be counting and half retrieving from memory. Results from fourth and sixth graders implicated retrieval quite strongly, as their results resembled adult RTs very closely. Fourth graders' processing, however, was easily disrupted when false problems were presented. The third graders' difficulties are not due to an inability to form mental representations of number; all three grades demonstrated a strong split effect, indicative of a simpler mental representation of numerical information than is necessary for addition. The results were discussed in the context of memory retrieval versus counting models of mental arithmetic, and the increase across age in automaticity of retrieval processes.     

Simple and complex mental addition across development

Students in Grades 1, 4, 7, and 10 were timed as they solved simple and complex addition problems, then were presented similar problems in an untimed interview. A manipulation of confusion between addition and multiplication, in which multiplication answers were given to addition problems (3 + 4 = 12), revealed evidence for the hypothesized interrelatedness of these operations in memory only in 10th graders. The overall pattern of results suggests a strong reliance on memory retrieval, even in the first-grade group, with discernible time differences when “procedural” knowledge of carrying is required for problem solution. The results were judged consistent with a fact retrieval model which invokes explicit procedural information when problem difficulty is high or when processes like carrying and estimating magnitudes are required. In agreement with several other reports, the overall slowing of performance to larger problems is best explained in terms of normatively defined problem difficulty or associative strength in memory.     

Retrieval variability: The inefficient use of retrieval cues by young children

The hypothesis of this study is that the inefficient use of retrieval cues by young children is due to retrieval variability: the variable encoding of semantic information in cue stimuli at input and retrieval and the inability to reinterpret cue information to ensure cue-trace compatibility. The critical manipulations involved the use of semantic orienting questions at both input and retrieval. Second and fourth graders and college adults were given moderately associated word pairs (Knife-Axe). Encoding was constrained or free between groups at both input and retrieval. The retrieval questions biased the Same interpretation of the cue as at input (weapon), a uniquely Different interpretation (utensil), or an inappropriate Negative interpretation. Both cued recall and recognition of the target items was tested. The results showed systematic developmental increases both in the distinctiveness of the semantic encoding of stimulus information, and in the ability to reinterpret cue information to ensure cue-trace compatibility. The second graders encoded more variably than the older subjects, and were less able to shift from an incompatible encoding of cue information.     

A strong developmental theory of field dependence-independence

Assume an X-linked gene in two alleles mediates performance on field dependent-independent tests such as the rod-and-frame test. Only the recessive gene with relative frequency q facilitates field independence. Other genotypes lead to field dependence. Under a simple genetic model, field dependence-independence may be viewed as outcomes of a discrete random variable B with field independent and dependent probabilities π_iq and 1 ? π_iq for men, and π_iq² and 1 ? π_iq² for women, respectively. The parameter π_i is a maturational ageindexed parameter, 0 < π_i ≤ 1, monotonically increasing with development until maturity when π_k = 1. Observations of performance are made on a random variable W of the form W = B + N, where N is normal in distribution independent of B; N represents a composite of influences including error. The model implies testable age-related between- and within-sex predictions regarding E(W) and Var(W), predictions which appear to coincide with major empirical findings; it also generates novel predictions. For instance, W is a mixture of normals distribution. The model is briefly evaluates in two data sets.     

Biasing evaluations to appear unbiased: A self-presentational paradox

Subjects interviewed a confederate posing as a job applicant. In a 2 × 2 factorial design, half the subjects were insulted by the confederate at the end of the interview and half were not insulted. Half the subjects were observed by the experimenter during the final phase of the interview and evaluated the confederate publicly. The remaining subjects were unobserved during the interview and evaluated the confederate anonymously. As predicted, subjects who were publicly insulted were more favorable toward the confederate than were subjects who were privately insulted. Within the public/insult condition, subjects scoring high on Snyder's (1974, Journal of Personality and Social Psychology, 30, 526–537) self-monitoring scale were more favorable toward the confederate than were subjects scoring low on this scale. The positivity bias occurred only on highly subjective ratings, which are most prone to the appearance of bias. The results are discussed in terms of the subjects' desire to avoid the appearance of bias by biasing their evaluations.     

Evaluating job satisfaction and success for emotionally maladjusted men

Work histories of male psychiatric patients were compared to see if they varied as a function of psychiatric diagnosis. It was predicted that there would be significant differences between diagnostic groups for types and levels of jobs held, amounts of job success achieved, and levels of job satisfaction attained. All three predictions were supported. Results indicated that the more severe the maladjustment, the less likely the men were to have been employed above the semiskilled level of occupations. Job satisfaction and job success were found to vary as a function of the personality characteristics of the different diagnostic groups. A direct relationship was found between severity of psychiatric disorder and unemployment time. Implications are discussed.     

There's method in our madness: Interpersonal attraction as a multidimensional construct

The convergent validity and number of dimensions common to six measures of interpersonal attraction (three verbal and three nonverbal) were explored in this investigation. Convergent validity was found within verbal and nonverbal modes of measurement, but not between modes. No general factor was found to be common to the six measures of attraction. It was, therefore, concluded that method bias influences experimental results, threatening the comparability of results from research programs using different modes of measuring attraction. The results also question the assumption that social attitudes, such as attraction, are closely related to behavior, and imply that predictions derived from theories based on different modes of measuring attraction will have unequal utility.     

Familial sinistrality, sex, and laterality differences in naming and Lexical Decision Latencies of right-handers

Sixty-four subjects, divided into four groups of 16 according to sex and familial sinistrality (FS), were given a lateralized Object-Naming Latency Task (ONLT) and a Lexical Decision Latency Task (LDLT). Both tasks showed RVF superiorities. On the ONLT a sex × FS × visual field interaction was obtained, with FS− females and FS+ males showing comparably smaller RVF superiorities than FS+ females and FS− males. On the LDLT an FS by Stimulus Type (word-nonword) interaction was found, FS− subjects being more RVF superior for nonword trials and FS+ subjects more RVF superior for word trials. If one compared only FS− males and females, as some studies have done, greater RVF superiorities obtained for males than females on both the ONLT and word trials of the LDLT. However, FS+ subjects showed the opposite pattern. The data support neither the simple model of FS nor sex influence on language laterality. Data aslso suggest that a history of maternal versus paternal left-handedness may affect lateralization differently in the sexes.     

Cerebral dominance assessed by object- and color-naming latencies: sex and familial sinistrality effects.

Two vocal RT experiments were conducted. The first required the naming of five lateralized drawings of common objects; the second of five hues of equal brightness and saturation. Tachistoscopic exposure time was 100 msec. Both tasks yielded faster RT to stimuli channeled directly to the left hemisphere, demonstrating that the left hemisphere superiority for naming letters or digits obtained in previous tachistoscopic studies was not dependent on the use of alphanumeric stimuli. Interesting sex differences in object-naming and familial sinistrality differences in color-naming were obtained. Compared with other behavioral tasks for assessing language laterality, color-naming seems highly recommended in terms of freedom from spatial-confounding, good percentage agreement with clinical estimates of the frequency of left hemisphere language dominance in right handers, and sensitivity to familial sinistrality influences.     

The relationship between vocational interests and job satisfaction: Reconciliation of divergent results

It was hypothesized that congruency of vocational interests with present occupation would be positively related to job satisfaction for long job-tenured employees, and would be unrelated to satisfaction for short job-tenured employees. In two samples of 54 and 47 middle managers, the hypothesis was supported for satisfaction with work and supervision. This differential pattern of correlations may help explain the inconsistent relationship between vocational interests and job satisfaction obtained in past studies.     

Right-hemisphere superiority for discriminating memorized from nonmemorized faces: Affective imagery, sex, and perceived emotionality effects

Sixty-four subjects, divided into four groups according to sex and type of memorization instruction, were given a manual RT task requiring discrimination of two memorized from two nonmemorized faces. Two types of memorization were employed, one emphasizing highly negative affective imagery about the faces being memorized (extreme sadness), the other relatively neutral imagery (feeling composed). Females in the affective imagery group were predicted to show left-visual-field superiority (LVFS), while females employing neutral imagery were not. Males were predicted to show LVFS regardless of imagery type because of their presumed strong right-hemispheric dominance for visual-spatial functions. Predictions were accurate for females; neither group of males showed significant LVFS. Post-experimental semantic differential ratings of the emotionality of the memorized faces showed that LVFS existed for faces rated as emotional, but not for faces rated as nonemotional. This effect was common to the sexes. Results indicate that right-hemispheric memory storage of faces can be induced in females through affective imagery and in both sexes via idiosyncratically perceived emotionality in the face stimuli. This effect of affectivity cannot be attributed to visual-spatial dominannce of the right hemisphere.     

Evaluation and recall of evidence: Authoritarianism and the Patty Hearst case

By using the Patricia Hearst case as the stimulus material, two experiments were conducted to examine the relationship between authoritarianism and recall of evidence. In Experiment I it was found that high authoritarians recall more prosecution evidence than defense evidence. This was not the case for the low authoritarians. Results concerning the hypothesis that high authoritarians would recall more character information than low authoritarians were equivocal. In Experiment II a trend indicating that high authoritarians draw more direct inferences from incriminating evidence than do low authoritarians or an attorney was obtained. The results are discussed in terms of previous findings, authoritarian theory, and characteristics of the Patricia Hearst case.     

Developmental differences in the use of retrieval cues to describe episodic information in memory

In four experiments, this study examined some reasons why second and fourth grade children use cues relatively ineffectively to retrieve episodic information in memory. Retrieval success was conceptualized as using a cue to describe episodic information in memory. The experiments manipulated factors hypothesized to affect the discriminability and constructability of compatible encodings of context cue information at retrieval. In general, the effects were accomplished by varying the specificity of cue-target information at acquisition, and similar or different samplings of cue information alone at retrieval by means of orienting questions. Experiment 1 varied the encoding of item specific or categorical information. Experiment 2 varied the encoding of supercategorical or subcategorical information. Experiment 3 used two acquisition trials, crossing Categorical × Item Specific encoding and repeating identical encoding experiences. Experiment 4 varied Separate and Interactive Imagery encoding instructions. The results showed that problems of both discriminability and constructability contribute to developmental differences in the use of retrieval cues.     

Contextual determinants of retrieval in three-month-old infants

Three-month old infants learned to kick to produce movement in an overhead crib mobile on a conjugate reinforcement (FRI) schedule. All infants were trained in the presence of one of two distinctive crib bumpers. In Experiment 1, infants receiving cued-recall tests in the presence of the original training bumper remembered the conditioned association 1 week later, but those tested in the presence of a different bumper did not. Two weeks later, neither training group evidenced retention of the contingency. In Experiment 2, infants who received a 3-min exposure (“a reactivation treatment”) to the original training bumper 24 h prior to the 2-week retention test exhibited excellent long-term retention, whereas those exposed to a different bumper as a reminder did not, irrepective of whether it was identical to the test bumper or not. These findings demonstrate that the context alone, even though it was never exclusively paired with reinforcement, can act as a retrieval cue.     

The infant's acquisition of knowledge of bimodally specified events

Four-month-old infants viewed, for a duration of several minutes, two objects that bounced in synchrony with two percussion sounds. This synchrony was the only information tying each sound to its respective object. During the viewing the infants learned about the relationships between sound and object. Learning was revealed in two ways. In a search test, infants looked for an object when its sound was played. In a transfer test, infants' declining interest in a sound presented alone generalized to the visible object that the sound specified. Studies that reversed the spatial locations of the objects revealed that sound-object learning, rather than place or response learning, guided infants' perceptual exploration.