论数学问题解决中情境模型与问题模型的关系

情境模型与问题模型是数学问题解决研究中的两个重要概念,前者是对问题所述情境的日常化的定性表征,后者是基于图式知识对问题关键变量的数量关系表征。本文介绍了两种模型的发展历史以及目前存在的争议,并提出了未来研究需要解决的问题。     

惯例的实证研究进展：心理学的视角

惯例是人们在重复解决同一问题时形成的程序化行为或策略,它既可以从个体,也可以从群体的视角来研究。在心理学中,惯例的研究始于思维定势和内隐学习;近年来,在现代认知心理学的推动下,研究者们已从个体与群体问题解决、决策的视角对它进行了一系列研究;而惯例重复性的特征又为它与重复博弈的交叉研究提供了可能。未来的惯例研究可以在以往研究基础上,从其普遍性和特点、信息搜索、知识迁移等角度展开。     

Productive and Re‐productive Thinking in Solving Insight Problems

Many innovations in organizations result when people discover insightful solutions to problems. Insightful problem‐solving was considered by Gestalt psychologists to be associated with productive, as opposed to re‐productive, thinking. Productive thinking is characterized by shifts in perspective which allow the problem solver to consider new, sometimes transformational, approaches. Re‐productive thinking, on the other hand, involves the application of familiar, routine, procedures. This article reports a study which investigated how self‐reported productive and re‐productive thinking are related to an individual's ability to solve insight problems. Our measures were tested against the Kirton Adaption‐Innovation Inventory (KAI), and a battery of spatial insight problems. The results indicated that productive and re‐productive thinking and the KAI were successful in predicting performance on spatial insight problems. Furthermore, the measures of productive and re‐productive thinking accounted for spatial insight performance independently of scores on the KAI. In addition, the results suggested that re‐productive thinking consists of two different components—one based on group conventions and the other on personal experience. Each contributed differently to solving insight problems.     

“We've Got Creative Differences”: The Effects of Task Conflict and Participative Safety on Team Creative Performance

Although both participative safety and team task conflict are widely thought to be related to team creative performance, the nature of this relationship is still not well understood, and prior studies have frequently yielded conflicting results. This study examines the ambiguity in the extant literature and proposes that both constructs must exist in tandem. Through a study of 55 design teams, we have identified a significant interaction between task conflict and participative safety. Results suggest that both participative safety and task conflict must exist in tandem to spur team creativity, and that team creative performance must be examined at the facet level, instead of simply as a single construct. In addition, supplemental analyses suggest that teams low on participative safety and task conflict are likely able to generate more original solutions for creative tasks due to the presence of an independent, disagreeable creative member. Implications for future research and practice are further discussed.     

Transformational Leadership and Creative Problem‐Solving: The Mediating Role of Psychological Safety and Reflexivity

Previous research has pointed to the importance of transformational leadership in facilitating employees' creative outcomes. However, the mechanism by which transformational leadership cultivates employees' creative problem‐solving capacity is not well understood. Drawing on theories of leadership, information processing and creativity, we proposed and tested a model in which psychological safety and reflexivity mediate the effect of transformational leadership and creative problem‐solving capacity. The results of survey data collected at three points in time indicate that transformational leadership facilitates the development of employees' creative problem‐solving capacity by shaping a climate of psychological safety conducive to reflexivity processes. However, the findings also indicate that psychological safety is related both directly and indirectly, through reflexivity, to employees' creative problem‐solving capacity. This study sheds further light on the ways in which transformational leaders help to develop and cultivate employees' capacity for creative problem‐solving.     

Sequential modulations of poorer-strategy effects during strategy execution: An event-related potential study in arithmetic

When participants accomplish cognitive tasks, they obtain poorer performance if asked to execute a poorer strategy than a better strategy on a given problem. These poorer-strategy effects are smaller following execution of a poorer strategy relative to following a better strategy. To investigate ERP correlates of sequential modulations of poorer-strategy effects, we asked participants (n = 20) to accomplish a computational estimation task (i.e., provide approximate products to two-digit multiplication problems like 38 × 74). For each problem, they were cued to execute a better versus a poorer strategy. We found event-related potentials signatures of sequential modulations of poorer-strategy effects in two crucial windows (i.e., between 200 and 550 ms and between 850 and 1250 ms) associated with executive control mechanisms and allowing conflict monitoring between the better and the cued strategy. These results have important implications on theories of strategies as they suggest that sequential modulations of poorer-strategy effects involve earlier as well as later mechanisms of cognitive control during strategy execution.     

Affective and cognitive reactions to subliminal flicker from fluorescent lighting

This study renews the classical concept of subliminal perception (Peirce & Jastrow, 1884) by investigating the impact of subliminal flicker from fluorescent lighting on affect and cognitive performance. It was predicted that low compared to high frequency lighting (latter compared to former emits non-flickering light) would evoke larger changes in affective states and also impair cognitive performance. Subjects reported high rather than low frequency lighting to be more pleasant, which, in turn, enhanced their problem solving performance. This suggests that sensory processing can take place outside of conscious awareness resulting in conscious emotional consequences; indicating a role of affect in subliminal/implicit perception, and that positive affect may facilitate cognitive task performance.     

Age-related effects of blood pressure on everyday cognitive function in community-dwelling women

ABSTRACT

Objectives: Blood pressure is an indicator of vascular health that has been associated with cognition and quality of life in older age. Few studies have examined blood pressure across everyday cognitive tasks, which may have superior predictive functional utility than traditional cognitive measures. We explored blood pressure as a predictor of everyday problem solving (EPS) performance in middle-aged and older women. Method: Community-dwelling women (age: 51–91) with low-normal blood pressure to mild hypertension underwent traditional and everyday cognitive testing. EPS was determined by the number of safe/effective solutions generated for real-world scenarios. Results: Analyses revealed that lower systolic blood pressure and pulse pressure were associated with worse EPS ability after controlling for age, education, and traditional cognitive abilities. Discussion: These results support that blood pressure may be an important predictor of everyday cognitive abilities in older age. Potential implications for real-world functioning are discussed.     

Girls' and boys' perception of mothers' intentions of using physical punishment and reasoning as discipline methods

The aim of this study was to examine Swedish children's perceptions of mothers' intentions of using physical punishment and reasoning, as well as their evaluations of the mothers as being good parents. Six- to nine-year-old children were interviewed. Children's evaluations as well as reports of mothers' intentions varied according to the type of vignette presented (discipline in response to child aggression, or in response to child non-compliance), and their own parents' childrearing attitudes. Children who said that mothers who use physical punishment were “good mothers” were more likely to have parents with more traditional childrearing attitudes, and were older. Older children also evaluated mother's use of reasoning, and perceived greater intentionality in this form of discipline, compared to younger children. No gender differences were found either for perception of intention or evaluation of the mother.     

Verbal and Nonverbal Interactions of Four- and Five-Year-Old Friends in Potential Conflict Situations

Dyads of 4- and 5-year-old friends and nonfriends attending preschools in central Italy were identified by friendship nominations. The 217 dyads of friends and non-friends participated in 2 closed-field tasks designed to simulate real-life situations of potential conflict. In the 4-year-old cohort, there were no significant differences in the behavior of the partners in either of the situations. However, at age 5 years, friends respected the rules of a fast-paced competitive game significantly more than did nonfriends. In discussing how to share a single object (a chocolate egg with a toy inside), 5-year-old friends were more likely to reach agreement than were nonfriends. The results suggest important developmental changes in the processes of negotiation and sharing within the preschool years.