Notational strategies for problem solving in 5- to 7-year-olds

The study focuses on the production and use of notations as a means to solve a memory problem. It reports results from two experiments. In the first, a memory task, 5- to 7-year-old children were asked to notate the contents of three identical boxes in order to later determine the identity and number of the objects inside the boxes once they had been closed and moved to a different position. Statistical analysis of the data revealed developmental trends in subjects' notational performance: prior to age seven their notations were generally ineffective in helping them to later determine the exact contents of the boxes. In order to rule out the possibility that their low performance on the memory task was due to their inability to represent information by means of a notation, we designed a second experiment, a representation task, in which subjects produced a notation to represent the same set of objects as in experiment 1. Results comparing performance on the two experiments (the memory and representation tasks) showed no differences at age five, statistical differences for identity at age six, and only marginal statistical differences for quantity at age seven, mainly due to the statistically significant age-trend in performance. Seven-year-olds' performance improved in both conditions, weakening the differences between the two conditions. These results suggest a metacognitive hypothesis that it is not until age seven that children begin to make the prospective analysis needed to solve the memory task.     

Mathematical problem solving by analogy.

We report the results of 2 experiments and a verbal protocol study examining the component processes of solving mathematical word problems by analogy. College students first studied a problem and its solution, which provided a potential source for analogical transfer. Then they attempted to solve several analogous problems. For some problems, subjects received one of a variety of hints designed to reduce or eliminate the difficulty of some of the major processes hypothesized to be involved in analogical transfer. Our studies yielded 4 major findings. First, the process of mapping the features of the source and target problems and the process of adapting the source solution procedure for use in solving the target problem were clearly distinguished: (a) Successful mapping was found to be insufficient for successful transfer and (b) adaptation was found to be a major source of transfer difficulty. Second, we obtained direct evidence that schema induction is a natural consequence of analogical transfer. The schema was found to co-exist with the problems from which it was induced, and both the schema and the individual problems facilitated later transfer. Third, for our multiple-solution problems, the relation between analogical transfer and solution accuracy was mediated by the degree of time pressure exerted for the test problems. Finally, mathematical expertise was a significant predictor of analogical transfer, but general analogical reasoning ability was not. The implications of the results for models of analogical transfer and for instruction were considered.     

Depression and social problem solving.

Twenty depressed patients with major depressive disorder, 20 nondepressed matched control subjects, and 17 patients with anxiety disorders were compared in different measures of social problem solving. Problem solving was assessed with the Means-Ends Problem-Solving Test (Study 1), the solution of personal problems, and a problem-solving questionnaire (Study 2). Results showed that, as predicted, depressed subjects suffered from a deficit in problem solving in all three measures. The majority of these deficits were also displayed by the clinical control group rather than being specific to a diagnosis of depression. However, depressed subjects produced less effective solutions than did normal and clinical control subjects. The results suggest that depressed and anxious patients may have difficulties at different stages of the problem-solving process.     

Planning paths to multiple targets: memory involvement and planning heuristics in spatial problem solving

For large numbers of targets, path planning is a complex and computationally expensive task. Humans, however, usually solve such tasks quickly and efficiently. We present experiments studying human path planning performance and the cognitive processes and heuristics involved. Twenty-five places were arranged on a regular grid in a large room. Participants were repeatedly asked to solve traveling salesman problems (TSP), i.e., to find the shortest closed loop connecting a start location with multiple target locations. In Experiment 1, we tested whether humans employed the nearest neighbor (NN) strategy when solving the TSP. Results showed that subjects outperform the NN-strategy, suggesting that it is not sufficient to explain human route planning behavior. As a second possible strategy we tested a hierarchical planning heuristic in Experiment 2, demonstrating that participants first plan a coarse route on the region level that is refined during navigation. To test for the relevance of spatial working memory (SWM) and spatial long-term memory (LTM) for planning performance and the planning heuristics applied, we varied the memory demands between conditions in Experiment 2. In one condition the target locations were directly marked, such that no memory was required; a second condition required participants to memorize the target locations during path planning (SWM); in a third condition, additionally, the locations of targets had to retrieved from LTM (SWM and LTM). Results showed that navigation performance decreased with increasing memory demands while the dependence on the hierarchical planning heuristic increased.     

Spatial problem solving by rats: Exploration and cognitive maps

Two experiments were performed in an attempt to examine the contribution of the exploratory experience to performance on Maier's 3-table spatial problem-solving task. In the first experiment, the runway configurations were altered between exploration and testing. It was found that following an initial impairment animals exposed to the altered runway configurations could perform as well as animals not confronted with an altered runway configuration on the test trial. In the second experiment, animals were allowed to explore only elements of the problem space. Exploration of either the runways only or the tables only led to unsuccessful performance on the 3-table task. The results of both experiments were related to current theory of cognitive mapping.     

Planning and problem solving skills following focal frontal brain lesions in childhood: analysis using the Tower of London.

Problem solving skills were investigated in children with focal lesions using the Tower of London test (TOL; Shallice, 1982). The scoring procedure was elaborated from previous studies to delineate separate processes contributing to overall performance in children. Thirty-one children with focal frontal pathology, 18 children with focal pathology in other brain regions (extra-frontal), 17 children with generalized pathology and 38 healthy children participated in the study. Results suggest a distributed network for problem solving skills, particularly cognitive flexibility and goal setting skills. Within the frontal group, children with lesions involving the right pre-frontal cortex had greatest problems with self-regulation, with rule breaks most common among this group. As these skills develop relatively early in comparison to other aspects of executive function, right pre-frontal regions may play a particularly important role in the development of executive skills in childhood, with damage to these regions rendering children vulnerable to a range of cognitive and social deficits.     

Building minds: solving the combination problem

Any panpsychism building complex consciousness out of basic atoms of consciousness needs a theory of ‘mental chemistry’ explaining how this building works. This paper argues that split-brain patients show actual mental chemistry or at least give reasons for thinking it possible. The paper next develops constraints on theories of mental chemistry. It then puts forward models satisfying these constraints. The paper understands mental chemistry as a transformation consistent with conservation of consciousness rather than an aggregation perhaps followed by the creation of something in addition. The paper suggests that this kind of mental chemistry alone yields a workable panpsychism.     

Rules and problem solving: another look

College students were trained on problems similar to the water jar problems developed by Luchins (1942). Some students were instructed that a particular rule would solve all the problems, others had the same problems but were not instructed about the rule, and a third set of students had a series of novel problems in which no single rule operated throughout. In two experiments students in the instructed rule group not only performed best in training but also performed best when transferred to a condition in which a single novel rule was appropriate. Although results from the set of conditions most similar to those of Luchins suggested that students sometimes inappropriately persisted in rule usage, the overall results suggest that rigidity is not a necessary outcome of instructed problem solving. Indeed, many of the results were consistent with the notion that instructed problem solving is flexible problem solving.     

Right-hemispheric damage and verbal problem solving behavior.

Patients with right-hemisphere damage, who ostensibly have no linguistic impairment, are relatively incapable of solving two-term series problems in which comparative adjectives in the premise and question are antonymic. This finding suggests that such verbal reasoning depends, in part, upon nonlinguistic imaginal processes subserved by the right hemisphere. In this manner, the right hemisphere is often required for the full elaboration of linguistic input.     

Planning ahead: college seniors’ concerns about career-marriage conflict

Career-marriage conflict (CMC) reflects the reality that for many college seniors, the next decade of their lives will be spent launching a career, often a very demanding one, building a long-term romantic relationship, and coordinating the demands of two careers. We focus on the antecedents and correlates of these concerns. Based on social-role theory, we hypothesized that seniors whose mothers worked outside the home while the seniors were children would express less concern about CMC than seniors with at-home mothers. We also hypothesized that seniors’ expectations about the timing of their marriages and childbearing relate to their concerns about CMC, with students who plan to delay family formation having fewer CMC concerns. These hypotheses were supported through an analysis of secondary data from a sample of 324 college seniors at a private university in the Northeast.     

Meaning from syntax: Evidence from 2-year-olds

When toddlers view an event while hearing a novel verb, the verb’s syntactic context has been shown to help them identify its meaning. The current work takes this finding one step further to reveal that even in the absence of an accompanying event, syntactic information supports toddlers’ identification of verb meaning. Two-year-olds were first introduced to dialogues incorporating novel verbs either in transitive or intransitive sentences, but in the absence of any relevant referent scenes (see Yuan & Fisher, 2009). Next, toddlers viewed two candidate scenes: (a) two participants performing synchronous actions, (b) two participants performing a causative action. When asked to “find mooping”, toddlers who had heard transitive sentences chose the causative scene; those who had heard intransitive sentences did not. These results demonstrate that 2-year-olds infer important components of meaning from syntactic structure alone, using it to direct their subsequent search for a referent in a visual scene.     

Evaluative factors in social problem solving by aggressive boys

Components of social problem solving (problem definition, generation and prioritization of solutions, and generation and evaluation of consequences) were assessed in high aggressive and low aggressive boys from grades 2– 3 and 5–6. When compared with their low aggressive peers, high aggressive boys at both grade levels were more likely to (1) define social problems based on the perception that others were hostilely-motivated adversaries, (2) generate few consequences for exhibiting aggression, (3) choose a second-best solution that was rated as ineffective, and (4) evaluate their own affective reactions to self-generated consequences of aggression as wouldn't care or as not unhappy. In addition, within the group of aggressive boys, problem definition was found to be significantly related to both number of solutions generated and effectiveness of solutions that subjects chose as best and second-best. These findings are discussed in terms of early patterns of cognitive mediation that differentiate high aggressive children from their low aggressive peers.The authors would like to thank the staff of the Santa Barbara, City and County school districts for their cooperation.     

Attempts to predict intelligent behavior: II. A study of problem solving

In Experiment I a group of pupils from a secondary school was given a test of general intelligence, a test of the ability to categorize objects in a flexible way, and five different problem-solving tasks. Subjects who were successful on the problems had higher scores on the intelligence test than the rest. The Categorizing Test was not, however, a good indicator of success. In Experiment II a comparison was made between scores on different parts of the so-called Family Test. With high school pupils and university students as subjects, correlation coefficients in the neighborhood of 0.40 were found between scores when suggesting possible classifications of objects, and scores when choosing a classification to fit different sets of objects. The triangular form of the scatterplots was taken as an indication that an ability to present different interpretations of one's experience is a necessary, but not sufficient condition for success in problem-solving tasks.     

The relations between temperament and empathy in 2-year-olds.

The role of infant and toddler temperament in the prediction of empathy in 2-year-old children was examined. Assessments of temperament included reactivity and affect observed at 4 months of age, as well as inhibition at Age 2. Empathy was measured in 2-year-old children's responses to simulations of distress performed by their mothers and by an unfamiliar person. Children showed relatively more concern for the mother's distress, but they were also responsive to unfamiliar victims. Infants who were unreactive and showed little affect also showed less empathy toward the unfamiliar adult almost 2 years later. Inhibition toward an unfamiliar adult (but not toward the mother) at 2 years of age was negatively related to empathy. Inhibited temperament may thus have a major impact on young children's empathy in unfamiliar contexts. Findings also highlight the need to consider early underarousal as another dimension of temperament that may dampen expressions of empathic concern.     

Action anticipation through attribution of false belief by 2-year-olds

Two-year-olds engage in many behaviors that ostensibly require the attribution of mental states to other individuals. Yet the overwhelming consensus has been that children of this age are unable to attribute false beliefs. In the current study, we used an eyetracker to record infants' looking behavior while they watched actions on a computer monitor. Our data demonstrate that 25-month-old infants correctly anticipate an actor's actions when these actions can be predicted only by attributing a false belief to the actor.