Simple addition and multiplication: No comparison

Some models of memory for arithmetic facts (e.g., 5+2=7, 6×7=42) assume that only the max-left order is stored in memory (e.g., 5+2=7 is stored but not 2+5=7). These models further assume an initial comparison of the two operands so that either operand order (5+2 or 2+5) can be mapped to the common internal representation. We sought evidence of number comparison in simple addition and multiplication by manipulating size congruity. In number comparison tasks, performance costs occur when the physical and numerical size of numerals are incongruent (8 3) relative to when they are congruent (8 3). Sixty-four volunteers completed a number comparison task, an addition task, and a multiplication task with both size congruent and size incongruent stimuli. The comparison task demonstrated that our stimuli were capable of producing robust size congruity and split effects. In the addition and multiplication task, however, we were unable to detect any of the RT signatures of comparison or reordering processes despite ample statistical power: Specifically, there was no evidence of size congruity, split, or order effects in either the addition or multiplication data. We conclude that our participants did not routinely engage a comparison operation and did not consistently reorder the operands to a preferred orientation.     

Effects of mixing and cueing simple addition and multiplication

Miller and Paredes (1990) found that both children's and adults' performance of simple addition and multiplication tested in mixed-operation blocks was slower and more susceptible to operation errors (e.g., 6 + 2=12 or 6×2=8) compared to pure-operation blocks; but mixed-operation costs were greater for addition than for multiplication. We pursued the source of these effects in adults (n=96) by examining effects of operation switching and cueing. We replicated the asymmetrical costs of mixing addition and multiplication and demonstrated that these owed, in part, to asymmetrical task switching costs. Operation foreknowledge (a visual cue appearing 2 s before the problem) moderated both mixing and switch costs. This suggests that an asymmetry between addition and multiplication in the utility of preparation contributed to asymmetric mixing costs. Miller and Paredes proposed that the asymmetric costs of mixing operations observed in adults echoed an asymmetry developed in childhood when multiplication is initially learned. This might be correct, but our results raise the possibility that the asymmetry reflects operation-specific costs and interference effects that arise during the experiment.     

The Effect of Vertical Exchange Relationships on the Performance Attributions and Subsequent Actions of Sales Managers

This study examines the type of relationship that exists between the sales manager and subordinate (vertical exchange status), and its impact on the sales manager's attributions about the subordinate performance, as well as subsequent responses to the subordinate. Results indicate that cadres may receive preferential consideration in explaining their performance, which then impacts the sales manager's response to the salesperson. The findings imply that sales managers should be careful in assigning attributions for performance by both cadre and hired hand salespersons.     

Impact of Decision-Making Empowerment on Attributions of Leadership

Although empowerment often makes a team more effective, managers do not use this tool extensively. One explanation for this is that managers fear that individuals will draw negative conclusions about their leadership abilities if they use an inappropriate degree of decision-making empowerment (DME). The current research explored this hypothesis, using scenarios to manipulate DME, organizational setting, manager gender, and task outcome. Officer cadets (N?=?173) judged appropriateness of the manager's use of empowerment; degree of leadership shown; and willingness to work for the manager. Cadets saw high DME as significantly more appropriate than low, resulting in significantly higher leadership attributions and a greater willingness to work for the manager. Findings held regardless of context or gender. Task outcome also affected attributions.     

The Differential Salience of Spatial Information Features in the Geometric Reproductions of Young Children

To assess the differential salience of geometric features embedded in spatial displays, 60 preschool children, 3 to 5 years old, were required to reconstruct a series of geometric displays. Each arrangement included the depiction of a topological feature, unconnectedness; a Euclidean feature, linearity; and a projective feature, orientation. Children built their reconstructions under two demand conditions. The reconstructions were scored for the number that preserved each of the different geometric features. Results from a mixed-design analysis of variance revealed main effects for age, demand condition, and geometric feature, as well as for several first-order interactions. Data indicated that the Euclidean feature was the most salient and most frequently preserved characteristic and that the topological and projective ones were more problematic. The findings were discussed as a contrast to Piagetian predictions.     

Methodological suggestions from a comparative psychology of knowledge processes

Philosophers of science, in the course of making a sharp distinction between the tasks of the philosopher and those of the scientist, have pointed to the possibility of an empirical science of induction. A comparative psychology of knowledge processes is offered as one aspect of this potential enterprise. From fragments of such a psychology, methodological suggestions are drawn relevant to several chronic problems in the social sciences, including the publication of negative results from novel explorations, the operational diagnosis of dispositions, the status of aggregates of persons as social entities, and the validation of psychological tests.     

Counselling Older Adults Living in Residential Aged Care Settings: Four Illustrative Case Studies

The role of psychologists and other mental health professionals in long‐term care settings is undefined in Australia. Graduate psychology students receive little training in clinical geropsychology, and residential aged care providers do not routinely employ psychologists within such settings. Further, despite high rates of depression, neurocognitive problems, and other mental health problems, residents are rarely referred for evidence‐based psychological treatment. This article presents four case studies showing how psychology services may be employed in such settings within the context of a postgraduate psychology placement programme. These case studies emphasise the importance of engagement, the use of flexible and individualised treatment approaches, and the involvement of family and professional carers in the provision of psychological services. Psychology services in residential settings can have a positive impact on the care of older adults and their families.