Improving arithmetic performance with number sense training: An investigation of underlying mechanism

A nonverbal primitive number sense allows approximate estimation and mental manipulations on numerical quantities without the use of numerical symbols. In a recent randomized controlled intervention study in adults, we demonstrated that repeated training on a non-symbolic approximate arithmetic task resulted in improved exact symbolic arithmetic performance, suggesting a causal relationship between the primitive number sense and arithmetic competence. Here, we investigate the potential mechanisms underlying this causal relationship. We constructed multiple training conditions designed to isolate distinct cognitive components of the approximate arithmetic task. We then assessed the effectiveness of these training conditions in improving exact symbolic arithmetic in adults. We found that training on approximate arithmetic, but not on numerical comparison, numerical matching, or visuo-spatial short-term memory, improves symbolic arithmetic performance. In addition, a second experiment revealed that our approximate arithmetic task does not require verbal encoding of number, ruling out an alternative explanation that participants use exact symbolic strategies during approximate arithmetic training. Based on these results, we propose that nonverbal numerical quantity manipulation is one key factor that drives the link between the primitive number sense and symbolic arithmetic competence. Future work should investigate whether training young children on approximate arithmetic tasks even before they solidify their symbolic number understanding is fruitful for improving readiness for math education.     

Occupational change in mid-career: An exploratory investigation

Twenty-five people who had made voluntary, radical occupational changes in mid-career were interviewed and compared and contrasted with people remaining in matched occupations. Four categories of factors emerged from the data as being important to mid-career occupational change: factors associated with the first occupation, factors associated with the second occupation, obstacles to change, and personal factors. Dissatisfaction with the first occupation and attraction to a second occupation are both necessary for change to occur but do not in all cases cause change. Dissatisfaction results from a lack of congruence between a person's work orientations and the rewards of an occupation, and attraction results from a perceived congruence between the two. Obstacles to change are most financial in nature and can deter or delay change even when dissatisfaction and attraction exist. Differing personal beliefs about the control one has over one's life and one's ability to succeed in new areas in large part determine whether obstacles deter change or not.     

Current approaches used in studying creativity: An exploratory investigation

The goal of this research was to test whether the kind of question that is used to prompt brainstorming differentially affects individual and group idea generation performance. More specifically, it was examined if prompts that require brainstormers to generate alternate uses for common objects (e.g., other uses for cars) foster more benefits from collaborative ideation than prompts to generate improvements for an object, place, or process (e.g., ways to improve cars). These hypotheses were tested in two experiments using electronic idea exchanges. In Experiment 1, individuals generated ideas about either alternate uses or potential improvements for cars, SUVs, or vans. In Experiment 2, participants brainstormed in response to one of these two prompts in either an interactive group setting (exchanging ideas with two others) or individually (no idea sharing). The results of both experiments showed that alternate uses and improvements prompts indeed differentially affected ideational performance in terms of both idea quantity and quality. The results were also consistent with the well documented “process loss” on the improvements prompt, but the gap between interacting and nominal groups was closed on the alternate uses prompt. Implications for research and practice are discussed.     

Mental set and mental arithmetic

State University of New York, Buffalo, New York 14226 Ss performed mental arithmetic problems in which they added, subtracted, or multiplied two one-digit numbers. The presentation order of the operator symbol and the digits was varied. With three possible operators, presentation of the operator prior to the digits (OD) led to faster RTs. With two possible operators, the opposite order (digits prior to operator, DO) led to faster RTs, because RTs in the OD condition were unaffected by the number of possible operators. These results are discussed in terms of the trade off between accessing active memory for a small number of items in the DO condition vs retrieving information from relatively large tables in long-term memory in the OD condition.     

Effects of state anxiety on performance using a task-switching paradigm: An investigation of attentional control theory

Low- and high-anxious participants performed arithmetical tasks under task-switching or nontask-switching conditions. These tasks were low or high in complexity. The task on each trial was either explicitly cued or not cued. We assumed that demands on attentional control would be greater in the task-switching condition than in the nontask-switching condition, and would be greater with high-complexity tasks than with low-complexity ones. We also assumed that demands on attentional control would be greater when cues were absent rather than present. According to attentional control theory (Eysenck, Derakshan, Santos, & Calvo, 2007), anxiety impairs attentional control processes required to shift attention optimally within and between tasks. We predicted that there would be greater negative effects of high state anxiety in the task-switching condition than in the nontask-switching condition. Our theoretical predictions were supported, suggesting that state anxiety reduces attentional control.     

An exploratory investigation of the origin and maintenance of phobias

Phobies were asked to relate past events which they believed caused or contributed to their fear, and to describe cognitive events experienced while imagining phobic interactions. Approximately half the subjects were able to recall relevant learning experiences, with direct experiences far more common than vicarious experiences or learning based on verbal instruction. Almost all of the subjects reported self-verbalizations while imagining the phobic situation, in every case phobic relevant. However, in a minority of instances were the verbalizations ‘catastrophic’ in nature. In only about half the cases did the phobies report that, in vivo, thoughts preceeded fear in the phobic situation (in contrast to a comparison group of less fearful subjects for which thoughts did preceed fear to a significant degree). Results are discussed in terms of possible limitations of a cognitive interpretation of phobic behavior.     

Pandora's box: An investigation of essay anxiety in adolescents

Abstract

This paper is an investigation into possible causes of essay anxiety experienced by adolescent students. The three students are presented as being representative of three broader categories: the non-starter, the non-completer and the non-exhibitor. Parallels are drawn between the student essay and student family relationships, and essay anxiety is explored in terms of the utilization of defences against the anxiety of loss. In the process, there is an attempt to appreciate some of the deeply rooted, inter-related, developmental factors - in particular, tolerance of aggressive impulses and the experience of the good object as modifying container - which might affect the student's ability to deal productively with an essay.     

Inverse reference in subtraction performance: An analysis from arithmetic word problems

Studies of elementary calculation have shown that adults solve basic subtraction problems faster with problems presented in addition format (e.g., 6?+?_?=?13) than in standard subtraction format (e.g., 13 – 6?=?_). Therefore, it is considered that adults solve subtraction problems by reference to the inverse operation (e.g., for 13 – 6?=?7, “I know that 13 is 6?+?7”) because presenting the subtraction problem in addition format does not require the mental rearrangement of the problem elements into the addition format. In two experiments, we examine whether adults' use of addition to solve subtractions is modulated by the arrangement of minuend and subtrahend, regardless of format. To this end, we used arithmetic word problems since single-digit problems in subtraction format would not allow the subtrahend to appear before the minuend. In Experiment 1, subtractions were presented by arranging minuend and subtrahend according to previous research. In Experiment 2, operands were reversed. The overall results showed that participants benefited from word problems where the subtrahend appears before the minuend, including subtractions in standard subtraction format. These findings add to a growing body of literature that emphasizes the role of inverse reference in adults' performance on subtractions.     

An investigation of changes in auditory sensitivity during the performance of a mental task

Auditory thresholds were measured while the subject was relaxed and while he was doing mental arithmetic. Thresholds were lowered under the second condition. Some possible explanations are briefly considered.     

Transitory bias as a source of customer dissatisfaction: An exploratory investigation

Previous literature has identified sources of customer dissatisfaction in the forms of poor product performance, discrimination, and universal mistreatment (i.e., broad-based mistreatment of customers). This article proposes the existence of a fourth source of perceived customer dissatisfaction, termed transitory bias, which is based upon fleeting customer characteristics and actions. Using a critical incident approach, this exploratory study analyzes customer narratives of 230 negative experiences. After writing their narratives, consumer informants completed a quantitative survey pertaining to their experience. Some sources of transitory bias were found to be customer complaining, negotiation, special requests, and underpurchasing. Transitory bias was found to drive perceptions of negative customer experiences in 29.1 per cent of the narratives. This was fewer than the number of cases involving universal mistreatment (50%) but more than those involving poor product performance (18.3%) and discrimination (2.6%). Results showed that satisfaction, repeat purchase likelihood, recommendation likelihood, and word of mouth were similar to those found in narratives where universal mistreatment and discrimination were primary drivers of dissatisfaction. This article creates awareness of the transitory bias construct and allows academicians the opportunity to study it as a source of customer dissatisfaction. Retail and service establishments should be aware of customer perceptions of transitory bias because it impacts key performance metrics. Managers may wish to train employees to better identify and respond to sources of transitory bias. Copyright © 2013 John Wiley & Sons, Ltd.     

Personality as a predictor of driving performance: An exploratory study

Objective

To examine the role of psychological type in older driver performance.

Methods

A convenience sample of 50 older adults was prospectively enrolled in the study. Each completed a demographic profile, the Myers–Briggs Type Indicator® (MBTI®) Step III™ instrument, a self-reported Safe Driving Behaviors Measure (SDBM), clinical tests and a standardized on-road driving evaluation yielding a fail/pass determination and Sum of Maneuvers Score (SMS).

Results

Participants (M age = 72.96, SD = 4.78) who had Extraversion and Judging preferences were better drivers than those with Introversion or Perceiving preferences. Those with Sensing vs. Intuition preferences rated themselves better on the SDBM (S = 317.62, N = 305.33; t(48) = 2.19, p = .03). Those with Introvert preferences failed the on-road course with sensitivity = .714, specificity = .767, area under the curve = .76, p = .03.

Conclusion

Our findings provide the basis for further research investigating personality and driving. Specifically, if the main findings are consistent in a representative sample of older drivers, personality testing may be added to a driving assessment battery. Future research must build on these findings to more clearly identify the risk associated with psychological type and examine how personality profiles can be used to keep older drivers on the road longer and more safely.     

An exploratory investigation of divergent thinking through protocol analysis

Verbal protocols were recorded while 21 MBA students at India's leading management school sought to solve a complex divergent thinking task. The content analysis of these protocols yielded five major categories and 23 subcategories of divergent thinking. The five major categories were problem structuring, searching, feeling, ideating, and evaluating. Ideating turned out to be the most commonly utilized category. The resort to ideating, that is, articulating solutions, was negatively correlated with feeling and problem structuring and positively correlated with evaluating. There were marked differences in the way the subjects tackled the divergent thinking task. Three cognitive styles were uncovered through cluster analysis: the intuitive ideator style, the anxious analyst style, and the random scanner style. Transitions among categories were examined, and yielded several recursive divergent thinking paths. Contrary to several extant models of creative problem solving, there was no marked evidence for sequentiality among the categories of divergent thinking. Most solutions to the divergent thinking problem were of the “objective”; type, that is, they actually existed in nature. A minority were “creative,”; that is, synthesized through an act of imagination. There was relatively greater tendency for objective solutions to be preceded by the use of searching, evaluating, and analytical mechanisms, and relatively greater tendency for creative solutions to be preceded by ideating (especially listing and elaboration), feeling, and redefinition mechanisms. Implications of the findings for models of divergent thinking are discussed.     

An exploratory investigation of coffee and lemon scents and odor identification

Fragrance sellers often provide coffee beans to their customers as a "nasal palate cleanser," to reduce the effects of olfactory adaptation and habituation. To test this idea, college students smelled three fragrances multiple times, rating odors each time. After completing nine trials, participants sniffed coffee beans, lemon slices, or plain air. Participants then indicated which of four presented fragrances had not been previously smelled; Coffee beans did not yield better performance than lemon slices or air.     

Gender differences in health anxiety: An investigation of the interpersonal model of health anxiety

Health anxiety (HA) involves persistent worry about one’s health and beliefs one has an illness or may contract a disease. In the present study, gender differences in Noyes et al.’s (2003) interpersonal model of health anxiety (IMHA) were examined. Using a sample of 950 undergraduates (674 women; 276 men), multigroup confirmatory factor analyses suggested the measurement model for key dimensions of the IMHA (i.e., reassurance-seeking, alienation, worry, and absorption) were invariant across gender. This suggests key dimensions of this model are applicable to and generalizable across women and men. Coefficients alpha for and bivariate correlations between these IMHA dimensions were also roughly comparable across women and men. As hypothesized, mean levels of reassurance-seeking and worry were significantly higher in women compared to men. No gender differences were observed in mean levels of alienation or absorption. Reassurance-seeking and worry appear salient in the interpersonal behavior and emotional life of women with HA. The present study helps to clarify gender differences in the IMHA and other HA models involving similar variables.