Metacognition and low achievement in mathematics: The effect of training in the use of metacognitive skills to solve mathematical word problems

The central question underlying this study was whether metacognition training could enhance the two metacognition components—knowledge and skills—and the mathematical problem-solving capacities of normal children in grade 3. We also investigated whether metacognitive training had a differential effect according to the children's mathematics level. A total of 48 participants took part in this study, divided into an experimental and a control group, each subdivided into a lower and a normal achievers group. The training programme took an interactive approach in accordance with Schraw's (1998 Schraw, G. 1998. Promoting general metacognitive awareness. Instructional Science, 26: 113–125. [Crossref], [Web of Science ®] , [Google Scholar]) recommendation and was carried out over five training sessions. Results indicated that children in the training group had significantly higher post-test metacognitive knowledge, metacognitive skills, and mathematical problem-solving scores. In addition, metacognitive training was particularly beneficial to the low achievers. Thus metacognitive training enabled the low achievers to make progress and solve the same number of problems on the post-test as the normal achievers solved on the pre-test.     

Goals and Everyday Problem Solving: Examining the Link between Age-Related Goals and Problem-Solving Strategy Use

ABSTRACT

Qualitative interviews on family and financial problems from 332 adolescents, young, middle-aged, and older adults, demonstrated that developmentally relevant goals predicted problem-solving strategy use over and above problem domain. Four focal goals concerned autonomy, generativity, maintaining good relationships with others, and changing another person. We examined both self- and other-focused problem-solving strategies. Autonomy goals were associated with self-focused instrumental problem solving and generative goals were related to other-focused instrumental problem solving in family and financial problems. Goals of changing another person were related to other-focused instrumental problem solving in the family domain only. The match between goals and strategies, an indicator of problem-solving adaptiveness, showed that young individuals displayed the greatest match between autonomy goals and self-focused problem solving, whereas older adults showed a greater match between generative goals and other-focused problem solving. Findings speak to the importance of considering goals in investigations of age-related differences in everyday problem solving.     

Post-traumatic stress disorder and health risk behaviour among persons 15 years and older in South Africa

The aim of this study was to investigate the association between post-traumatic stress disorder (PTSD) and health risk behaviours among persons 15 years and older in South Africa. We analysed data from the South African National Health and Nutrition Examination Survey (SANHANES-1, 2012) (N = 15 201; mean age = 36.9 years, SD = 16.5; 2.1% with PSTD, 4.0% with partial PTSD). The survey included questions from validated measures of the following health risk behaviours: problem drinking, current tobacco use, physical activity, sedentary behaviour, vegetable consumption, and fast food and frequent soft drinks consumption. In adjusted logistic regression analysis, only self-reporting with PTSD was associated with problem drinking. The data did not yield significant association between PTSD status and any of the other health risk behaviours (tobacco use, low physical activity, and fast food consumption).     

Cognitive determinants of the success of inventors: Complex problem solving and deliberate use of divergent and convergent thinking

With reference to Henderson's (2004) assumption that inventors are “expert problem solvers”, we studied the ability of inventors to solve complex problems (CPS) using a sample of 46 German inventors. The participants had to use FSYS 2.0, a computer-simulated microworld. Additionally, we assessed metacognition, in particular the participants' ability to make deliberate use of divergent and convergent thinking. This ability was expected to be an important skill involved in solving complex problems (Dörner, Kreuzig, Reither, & Stäudel, 1983). We assumed a positive correlation between the individual success of inventors (number of granted and marketed patents) and CPS abilities. Controllability of divergent and convergent thinking turned out to be a predictor of the success of inventors and allowed us to identify the top 10% performers. Oddly however, the best problem solvers were inventors with exactly one granted patent. Data from a posteriori conducted interviews help explaining the results.     

Escaping mental fixation: Incubation and inhibition in creative problem solving

The inhibition underlying retrieval-induced forgetting has been argued to play a crucial role in the ability to overcome interference in memory and cognition. Supporting this conjecture, recent research has found that participants who exhibit greater levels of retrieval-induced forgetting are better at overcoming fixation on the Remote Associates Test (RAT) than are participants who exhibit reduced levels of retrieval-induced forgetting. If the ability to inhibit inappropriate responses improves the ability to solve fixated RAT problems, then reducing the fixation caused by inappropriate responses should reduce the correlation between retrieval-induced forgetting and problem solving. We tested this hypothesis by inserting an incubation period between two 30-second problem-solving attempts: half of the participants were given an incubation period (distributed condition), half were not (continuous condition). In the continuous condition retrieval-induced forgetting correlated positively with problem-solving performance during both the initial and final 30 seconds of problem solving. In the distributed condition retrieval-induced forgetting only correlated with problem-solving performance during the first 30 seconds of problem solving. This finding suggests that incubation reduces the need for inhibition by reducing the extent to which problem solvers suffer fixation.     

Moral responsibility and the problem of manipulation reconsidered

It has been argued that all compatibilist accounts of free action and moral responsibility succumb to the manipulation problem: evil neurologists or their like may manipulate an agent, in the absence of the agent’s awareness of being so manipulated, so that when the agent performs an action, requirements of the compatibilist contender at issue are satisfied. But intuitively, the agent is not responsible for the action. We propose that the manipulation problem be construed as a problem of deviance. In troubling cases of manipulation, psychological elements such as desires and beliefs, among other things, are acquired via causal routes that are deviant relative to causal routes deemed normal or baseline. We develop and defend rudiments of a baseline that is acceptable independently of whether one has compatibilist or incompatibilist leanings.     

No Role of Initial Problem Representation in Insight Problem Solving

The literature on insight problems—problems that supposedly can only be solved by rejection of an initial faulty problem representation and sudden comprehension of another, nonobvious representation (restructuring)—suggests that the size of initial representations affects the very process of problem solving. Large initial representations impose systematic, analytical search, whereas only small representations promote intuitive, associative processes assumed by some theorists to underpin insight. In a group of 353 young healthy participants, 6 previously validated insight problems were applied in either a small or large initial representation variant. Results demonstrated no reliable difference in performance between the problem variants with regard to (a) solution accuracy, (b) self-reported insight accompanying solutions, (c) effects of fatigue, (d) correlations with another 6 small representation-size problems, and (e) correlations with working memory capacity (which were notable). This outcome suggests that the size of initial faulty representation plays no role in insight problem solving process, supporting the account assuming its strong similarity to systematic, analytical problem solving.     

Influence of Efficacy and Resilience on Problem Solving in the United States,Taiwan, and China

This study explores factors that influence problem‐solving coping style across cultures. There was no significant difference in applying problem solving across U.S., Taiwanese, and Chinese samples. The effective predictors of problem solving in the U.S. and Chinese samples were self‐efficacy and trait resilience, respectively. In the Taiwanese sample, predictors were self‐efficacy and trait resilience. Trait resilience was found to mediate the effect of self‐efficacy on problem solving in the Taiwanese and Chinese samples. Practical implications are discussed. Este estudio explora factores que influyen en el estilo de afrontamiento a la resolución de problemas aplicado a distintas culturas. No se halló una diferencia significativa en la aplicación de resolución de problemas entre muestras estadounidenses, taiwaneses y chinas. Los predictores efectivos de la resolución de problemas en las muestras estadounidense y china fueron respectivamente la autoeficacia y los rasgos de resiliencia. En la muestra taiwanesa, los predictores fueron las autoeficacia y los rasgos de resiliencia. Se halló que los rasgos de resiliencia mediaron el efecto de la autoeficacia sobre la resolución de problemas en las muestras taiwanesa y china. Se discuten las implicaciones prácticas.     

Gender Influences on Preschool Children's Social Problem-Solving Strategies

The authors investigated gender influences on the nature and competency of preschool children's social problem-solving strategies. Preschool-age children (N = 179; 91 boys, 88 girls) responded to hypothetical social situations designed to assess their social problem-solving skills in the areas of provocation, peer group entry, and sharing or taking turns. Results indicated that, overall, girls' responses were more competent (i.e., reflective of successful functioning with peers) than those of boys, and girls' strategies were less likely to involve retaliation or verbal or physical aggression. The competency of the children's responses also varied with the gender of the target child. Findings are discussed in terms of the influence of gender-related social experiences on the types of strategies and behaviors that may be viewed as competent for boys and girls of preschool age.     

The Effect of Self-Observation on Children's Problem Solving

The effects of self-observation on children's problem solving were investigated. Children (N = 124) aged 6-8 years attempted to solve the 3-disc Tower of Hanoi problem. After pretesting, children were grouped into those who (a) practiced solving the problem independently, (b) received instruction on the most efficient solution, (c) observed a videotape recording of their previous attempt, and (d) served as a control. Subsequently, children were immediately tested on the 3-disc problem and a more difficult 4-disc problem. They were tested again 1 week later. Performance was most improved for children in the practice and video conditions on the 4-disc problem. Improvements were maintained over the 1-week interval. Unique characteristics of video self-observation are discussed.