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Cognitive skills in mathematical problem solving in Grade 3.

BACKGROUND: Research on the relationship between cognitive skills and mathematical problem solving is usually conducted on adults or on participants with acquired deficits associated with brain injury (e.g.Cipolotti, 1995; Cohen, Dehaene, & Verstichel, 1994; McCloskey, 1992). AIMS: In these studies we wanted to make a contribution to the field of children's mathematical problem solving. The first aim of this study was to investigate whether mathematical problem solving in children is merely determined by semantic elaboration, as hypothesized in some of the models of adult processing (semantic hypothesis). In addition, we aimed to investigate whether there is a continuum from very good to very poor mathematical problem solving among children with mathematical learning disabilities showing immature cognitive skills (maturational lag hypothesis). SAMPLE: The participants were 376 third graders and 107 second graders. METHOD: The internal structure of the data was analysed with a principal components analysis. In addition, two MANOVA were conducted to compare children with learning disabilities or problems with age-matched and performance-matched subjects. RESULTS: Two components, a semantic and a non-semantic one, were needed to account for an adequate fit of the dataset. In addition, children with mathematical learning disabilities had less-developed cognitive skills compared with peers without learning disabilities, but they did not differ from younger children on seven of the nine cognitive skills. CONCLUSIONS: This study highlighted that children's mathematical problem solving is not determined by one general component. The picture is more complex, since two mathematics components were found. In addition, although our findings point in the direction of the maturational lag hypothesis it may be important to assess the different cognitive skills and especially assess the number system knowledge, since it seems below average in children with mathematical learning disabilities, compared with the knowledge of younger children with comparable skills in mathematics.

Child↗

Towards an idiothetic understanding of the role of social problem solving in daily event, mood and health experiences: a prospective daily diary approach.

OBJECTIVES: Utilising D'Zurilla's (1986, 1990) transactional social problem solving model as the theoretical framework, the present study sought to examine the dynamics of the social problem solving process in relation to intraindividual experiences of events, mood, and physical health in daily life. DESIGN: The study incorporated both idiographic and nomothetic strategies, combining a daily diary approach within a prospective design. As such, each individual's experience of events, mood, and health were assessed on a daily basis, and the prospective relations between social problem solving and these day-to-day experiences examined. METHODS: Participants' (university students) completed a measure of social problem solving at baseline followed, approximately 5 weeks later, by daily self-reports of mood (positive & negative), events (hassles & uplifts), and physical health (health status & URI symptoms) for a period of 14 days. The data were analysed using multilevel hierarchical modelling. RESULTS: Days on which individuals had greater than their average hassles were associated with higher negative and lower positive mood (i.e. domain specific & cross-over effects), whilst greater uplifts were linked to positive mood only. With regard to health, individuals reported worse status and more URI symptoms on days with greater than their average negative (hassles, negative mood) but not positive influences (uplifts, positive mood). Both social problem solving orientations and skills dimensions were associated prospectively with daily health outcomes, and these relationships were not moderated by day-to-day experiences of mood or events. CONCLUSIONS: The data clarify the importance of social problem solving to within-person daily event, mood, and health experiences. The implications of these findings for contemporary transactional social problem solving models are discussed.

Adult↗

Real-life-type problem solving in Tourette syndrome.

OBJECTIVE: The main objective of the study was to examine social problem solving in real-life-type situations in Tourette syndrome (TS). BACKGROUND: Studies of cognitive functioning in TS have usually focused on nonsocial, abstract tasks, with mixed findings as to whether there is evidence of impairment in executive functions in those without comorbid disorders. The current study focuses primarily on social functioning, using a problem-solving task known to be sensitive to frontal lobe lesions. METHODS: TS participants without comorbid diagnoses were compared with matched healthy control participants on a problem-solving task, using a range of interpersonal problem scenarios presented on video. A set of more abstract executive tests was also included. RESULTS: Participants with TS were found to perform below a matched control group on the problem-solving task both in generating a range of potential problem solutions, and in selecting appropriate final solutions. They also performed more poorly on aspects of executive function. CONCLUSIONS: This study provides evidence of difficulties in both social and nonsocial aspects of functioning in TS. The implications of the findings for our understanding of TS and problem solving are discussed.

Adult↗

Mother-toddler problem solving: antecedents in attachment, home behavior, and temperament.

In a widely cited study, Matas, Arend, and Sroufe showed that mother-toddler interaction during problem solving at age 2 years was related to the child's prior attachment security. The current study asked (1) whether an independent laboratory could replicate this attachment finding, and (2) whether problem-solving interactions relate to mother-child interactions observed at home and to child temperament measured at 6, 13, and 24 months. Replicating Matas et al., secure dyads worked more competently, and mothers showed better quality of assistance and supportive presence. Mother-child home interaction also predicted problem solving: positive involvement at home predicted effective, unconflicted problem solving. Negative control at home did not predict problem-solving interaction. Unadaptable temperament was generally related to dependency in problem solving. Several patterns of correlations appeared to be mediated by sex of child, e.g., difficult temperament in boys predicted more effective, unconflicted problem solving, while for girls it predicted more conflict.

Affect↗

Probabilities and predictions: modeling the development of scientific problem-solving skills.

The IMMEX (Interactive Multi-Media Exercises) Web-based problem set platform enables the online delivery of complex, multimedia simulations, the rapid collection of student performance data, and has already been used in several genetic simulations. The next step is the use of these data to understand and improve student learning in a formative manner. This article describes the development of probabilistic models of undergraduate student problem solving in molecular genetics that detailed the spectrum of strategies students used when problem solving, and how the strategic approaches evolved with experience. The actions of 776 university sophomore biology majors from three molecular biology lecture courses were recorded and analyzed. Each of six simulations were first grouped by artificial neural network clustering to provide individual performance measures, and then sequences of these performances were probabilistically modeled by hidden Markov modeling to provide measures of progress. The models showed that students with different initial problem-solving abilities choose different strategies. Initial and final strategies varied across different sections of the same course and were not strongly correlated with other achievement measures. In contrast to previous studies, we observed no significant gender differences. We suggest that instructor interventions based on early student performances with these simulations may assist students to recognize effective and efficient problem-solving strategies and enhance learning.

Aptitude↗

[Methods for teaching problem-solving in medical schools].

The need to include in the medical curriculum instructional activities to promote the development of problem-solving abilities has been asserted at the national and international levels. In research on the mental process involved in the solution of problems in medicine, problem-solving has been defined as a hypothetical-deductive activity engaged in by experienced physicians, in which the early generation of hypotheses influences the subsequent gathering of information. This article comments briefly on research on the mental process by which medical problems are solved. It describes the methods that research has shown to be most applicable in instruction to develop problem-solving abilities, and presents some educational principles that justify their application. The "trail-following" approach is the method that has been most commonly used to study the physician's problem-solving behavior. The salient conclusions from this research are that in the problem-solving process the diagnostic hypothesis is generated very early on and with limited data; the number of hypotheses is small; the problem-solving approach is specific to the type of medical problem and case in hand; and the accumulation of medical knowledge and experience forms the basis of clinical competence. Four methods for teaching the solution of problems are described: case presentation, the rain of ideas, the nominal groups technique and decision-making consensus, the census and analysis of forces in the field, and the analysis of clinical decisions. These methods are carried out in small groups. The advantages of the small groups are that the students are active participants in the learning process, they receive formative evaluation of their performance in a setting conductive to learning, and are able to interact with their instructor if he makes proper use of the right questioning techniques. While no single problem-solving method can be useful to all students or in all the problems they encounter, teachers of medicine can improve their students' performance by adjusting these available methods to their particular needs and to those of their schools. The problem-solving methods described can help teachers shape the learning environment so as to develop in their students the most coherent, logical, concrete and complete set of skills possible. These methods can so be of value in improving the training of future doctors and the quality of their decisions to the benefit of their patients.

Curriculum↗

[Problem-solving strategies and marital satisfaction].

AIM: This study investigated the relation between problem-solving strategies in the marital conflict and marital satisfaction. METHOD: Four problem-solving strategies (Dialogue, Loyalty, Escalation of conflict and Withdrawal) were measured by the Problem-Solving Strategies Inventory, in two versions: self-report and report of partners' perceived behaviour. This measure refers to the concept of Rusbult, Johnson and Morrow, and meets high standards of reliability (alpha Cronbach from alpha = 0.78 to alpha = 0.94) and validity. Marital satisfaction was measured by Marriage Success Scale. The sample was composed of 147 marital couples. RESULTS: The study revealed that satisfied couples, in comparison with non-satisfied couples, tend to use constructive problem-solving strategies (Dialogue and Loyalty). They rarely use destructive strategies like Escalation of conflict or Withdrawal. Dialogue is the strategy connected with satisfaction in a most positive manner. These might be very important guidelines to couples' psychotherapy. Loyalty to oneself is a significant positive predictor of male satisfaction is also own Loyalty. CONCLUSION: The study shows that constructive attitudes are the most significant predictors of marriage satisfaction. It is therefore worth concentrating mostly on them in the psychotherapeutic process instead of eliminating destructive attitudes.

Adult↗

The social problem-solving abilities of people with borderline personality disorder.

Interventions for people suffering from borderline personality disorder (BPD), such as dialectical behaviour therapy, often include a problem-solving component. However, there is an absence of published studies examining the problem-solving abilities of this client group. In this study, the social problem-solving (SPS) abilities of three groups of participants were assessed: a BPD group (n=25), a clinical control (CC) group (n=25) procedure and a non-clinical control (NCC) group (n=25). SPS ability was assessed using the means-end problem-solving (MEPS) procedure and the Social Problem-Solving Inventory-Revised (SPSI-R). The BPD group exhibited deficits in their SPS abilities, however the majority of these deficits were not specific to the BPD group but were also found in the CC group, indicating that a common factor between these two groups, such as negative affect, may account for these observed deficits. Specific SPS deficits were identified in the BPD group: they provided less specific solutions on the MEPS and reported higher levels of negative problem orientation and a more impulsive/carelessness style towards solving social problems. The results of this study provide empirical support for the use of problem-solving interventions with people suffering from BPD.

Adult↗

Social problem solving in schizophrenia.

The recent literature on social skills training has placed an increasing emphasis on the role of cognitive factors in social failure, as opposed to deficits in motoric skills. It has been hypothesized that schizophrenic patients are markedly deficient in social problem-solving abilities, and several programs have been developed to teach problem-solving skills. Despite high face validity, there is little empirical support for these training programs or the problem-solving model on which they are based. Research on information processing and problem solving in nonpatient populations is discussed, and it is concluded that the model used in these treatment programs is not a good representation of the problem-solving process. In particular, means-ends analysis is not an appropriate strategy for dealing with most interpersonal problems and conflicts. The difficulties experienced by schizophrenic patients in social situations might be due to a number of factors other than deficits in problem-solving skill, including sensitivity to negative affect and disordered communication. It is concluded that further research on problem-solving training programs is clearly warranted but that the validity of the problem-solving model and the utility of the training is uncertain.

Humans↗

Problem-solving in suicide attempters.

BACKGROUND: Recent research studies on the psychological processes underlying suicidal behaviour have highlighted deficits in social problem-solving ability, and suggest that suicide attempters may, in addition, be passive problem-solvers. The aim of this study was to examine problem-solving in suicide attempters (including passivity) and to see whether the deficits are mood-dependent. METHOD: Two groups, a suicide attempter group and a non-suicidal psychiatric control group completed measures of depression, hopelessness, suicidal ideation and social problem-solving ability shortly after admission, and again 6 weeks later. In addition, a non-psychiatric control group provided baseline data at a single time point. RESULTS: The suicide attempter group displayed poorer problem-solving ability than matched psychiatric controls and this difference persisted despite change in mood. However, although suicidal patients were more passive in their problem-solving style than non-psychiatric controls, they were not significantly more passive than psychiatric controls. Problem-solving did not change with improving mood. CONCLUSIONS: Although passivity is not unique to suicidal patients, in combination with the smaller number and less effective alternatives generated, it may increase vulnerability.

Adult↗

Problem solving by hospital managers.

When managers confront complex problems, their attitudes toward problem solving affect their behavior. The problem-solving attitudes of over 100 women and men who manage six hospitals are analyzed.

Analysis of Variance↗

Interpersonal problem-solving skills of retarded and nonretarded children.

Interpersonal problem-solving skills of 17 mildly mentally retarded and two groups of nonretarded subjects (Ns = 30) matched on mental age (MA) and chronological age (CA) were assessed, utilizing a series of hypothetical problem-solving situations. Results indicated similarities between mentally retarded subjects and MA-matched nonretarded subjects both in types and number of strategies produced. Nonretarded CA-matched subjects, on the other hand, exhibited a wider range of problem-solving strategies and increased use of strategies thought to reflect higher levels of social understanding.

Child↗

Collaborative problem solving with a total quality model.

A collaborative problem-solving system committed to the interests of those involved complies with the teachings of the total quality management movement in health care. Deming espoused that any quality system must become an integral part of routine activities. A process that is used consistently in dealing with problems, issues, or conflicts provides a mechanism for accomplishing total quality improvement. The collaborative problem-solving process described here results in quality decision-making. This model incorporates Ishikawa's cause-and-effect (fishbone) diagram, Moore's key causes of conflict, and the steps of the University of North Dakota Conflict Resolution Center's collaborative problem solving model.

Adult↗

Problem-solving group therapy: two inpatient models based on level of functioning.

Hospitalized psychiatric patients frequently have deficits in their problem-solving abilities. An inpatient problem-solving group provides a therapeutic experience in which patients learn and apply the problem-solving process to practical and interpersonal difficulties they are presently experiencing. Two problem-solving group models, derived from cognitive-behavior theory, are suggested to accommodate diverse levels of inpatient functioning. Implications for nursing practice and recommendations are addressed.

Hospitalization↗

Peer instruction enhanced student performance on qualitative problem-solving questions.

We tested the hypothesis that peer instruction enhances student performance on qualitative problem-solving questions. To test this hypothesis, qualitative problems were included in a peer instruction format during our Physiology course. Each class of 90 min was divided into four to six short segments of 15 to 20 min each. Each short segment was followed by a qualitative problem-solving scenario that could be answered with a multiple-choice quiz. All students were allowed 1 min to think and to record their answers. Subsequently, students were allowed 1 min to discuss their answers with classmates. Students were then allowed to change their first answer if desired, and both answers were recorded. Finally, the instructor and students discussed the answer. Peer instruction significantly improved student performance on qualitative problem-solving questions (59.3 +/- 0.5% vs. 80.3 +/- 0.4%). Furthermore, after peer instruction, only 6.5% of the students changed their correct response to an incorrect response; however, 56.8% of students changed their incorrect response to a correct response. Therefore, students with incorrect responses changed their answers more often than students with correct responses. In conclusion, pausing four to six times during a 90-min class to allow peer instruction enhanced student performance on qualitative problem-solving questions.

Cooperative Behavior↗

Randomised controlled trial comparing problem solving treatment with amitriptyline and placebo for major depression in primary care.

OBJECTIVE: To determine whether, in the treatment of major depression in primary care, a brief psychological treatment (problem solving) was (a) as effective as antidepressant drugs and more effective than placebo; (b) feasible in practice; and (c) acceptable to patients. DESIGN: Randomised controlled trial of problem solving treatment, amitriptyline plus standard clinical management, and drug placebo plus standard clinical management. Each treatment was delivered in six sessions over 12 weeks. SETTING: Primary care in Oxfordshire. SUBJECTS: 91 patients in primary care who had major depression. MAIN OUTCOME MEASURES: Observer and self reported measures of severity of depression, self reported measure of social outcome, and observer measure of psychological symptoms at six and 12 weeks; self reported measure of patient satisfaction at 12 weeks. Numbers of patients recovered at six and 12 weeks. RESULTS: At six and 12 weeks the difference in score on the Hamilton rating scale for depression between problem solving and placebo treatments was significant (5.3 (95% confidence interval 1.6 to 9.0) and 4.7 (0.4 to 9.0) respectively), but the difference between problem solving and amitriptyline was not significant (1.8 (-1.8 to 5.5) and 0.9 (-3.3 to 5.2) respectively). At 12 weeks 60% (18/30) of patients given problem solving treatment had recovered on the Hamilton scale compared with 52% (16/31) given amitriptyline and 27% (8/30) given placebo. Patients were satisfied with problem solving treatment; all patients who completed treatment (28/30) rated the treatment as helpful or very helpful. The six sessions of problem solving treatment totalled a mean therapy time of 3 1/2 hours. CONCLUSIONS: As a treatment for major depression in primary care, problem solving treatment is effective, feasible, and acceptable to patients.

Adolescent↗

View box exercises for teaching problem solving in radiology.

An organized radiologic problem-solving system is presented for developing improved view box exercises for students and residents. It is based on six components: (1) problem sensing, (2) problem hypothesizing, (3) problem searching and definition, (4) problem identification, (5) resolution, and (6) verification. Since all examinations by the practicing radiologist involve these components, worthwhile simulated clinical management games should also incorporate them. A simulated radiologic exercise should be a valid measurement of the resident's ability to manage a wide range of clinical situations and techniques and should improve problem-solving strategies. Use of simulated clinical cases eliminates risk to patients during the educational process.

Audiovisual Aids↗

Artificial neural networks can distinguish novice and expert strategies during complex problem solving.

OBJECTIVE: To determine whether expert problem-solving strategies can be identified within a large number of student performances of complex medical diagnostic simulations. METHODS: Self-organizing artificial neural networks were trained to categorize the performances of infectious disease subspecialists on six computer-based clinical diagnostic simulation that used the sequence of diagnostic tests requested as the input data. Six hundred seventy-six student solutions to these problems were presented to these trained neural networks to determine which, if any, of the student solutions represented those of the experts. RESULTS: For each simulation, the expert performances clustered around one dominant output neurode, indicating that there were common problem-specific features associated with the experts' problem-solving performances. When the performances of students who also made correct problem diagnoses were tested on these expert-trained neural networks, 17% were classified as representing expert strategies, indicating that expert performance was a somewhat rare and inconsistent occurrence among the students. CONCLUSIONS: The ability to identify a small number of expert-like strategies within a large body of student performances may provide an opportunity to study the dynamics of complex learning at both individual and population levels as well as the emergence of medical diagnostic expertise.

Diagnostic Tests, Routine↗