The development of analogical reasoning processes.

Two experiments were conducted to test the generalizability to children of a theory of analogical reasoning processes originally proposed for adults (R. J. Sternberg, Psychological Review, 1977a, 84, 353–378; R. J. Sternberg, Intelligence, information processing, and analogical reasoning: The componential analysis of human abilities, Hillsdale, N.J.: Lawrence Erlbaum Associates, 1977b) and to examine the development of analogical reasoning processes in terms of five proposed sources of cognitive development: (a) availability of component operations; (b) strategy for combining multiple component operation; (c) strategy for combining multiple executions of the same component operation; (d) consistency in use of strategy; (e) component-operation latency and difficulty. Between 15 and 21 subjects in each of grades 2, 4, 6, and adulthood (ages 8, 10, 12, and 19 years, respectively) were tested in their ability to solve analogies of systematically varied difficulty. Performance was measured in terms of latencies for items solved correctly, latencies for all items solved, and error rates. A slightly modified version of the Stenberg, 1977(a), Stenberg, 1977(b) theory was found to be applicable to the data for each of the age levels tested. In analogies with perceptually separable attributes, change over age was found in sources (d) and (e) noted above. In analogies with perceptually integral attributes, change over age was found in sources (a), (c), (d), and (e). Developmental trends were discussed in terms of past theory and findings, and possible reasons for differences in developmental patterns between the two kinds of analogies were suggested.     

The effects of listener training on the development of analogical reasoning

We evaluated the effects of listener training on the emergence of analogical reasoning, as measured via equivalence‐equivalence and explored the role of verbal behavior when solving analogy‐type tasks. We taught 18 college students to select component stimuli from 2 classes, labeled “vek” and “zog,” and evaluated tacts and relational responding in the presence of baseline (AB and BC), symmetry (BA and CB), and transitivity (AC and CA) compounds. In Experiment 1, 5 out of 6 participants passed analogy tests, but none of them engaged in the relational tacts “same” and “different” during tact tests, possibly due to lack of instructional control. A change in instructions during Experiment 2 produced relational tacts in 4 of 6 participants, and 5 participants passed analogy tests. In Experiment 3, we implemented a talk‐aloud procedure to determine if the participants were emitting relational tacts during analogy tests. All 6 participants tacted stimuli relationally and engaged in problem‐solving statements to solve analogy tests. Results from these studies suggest that listener and speaker behavior in the form of relational tacts and other problem‐solving statements influenced the participants' equivalence–equivalence performance.     

基于问题解决式的类比推理的老化：表面相似性和结构相似性的作用

采用2年龄(老年/年轻)×2表面相似性(高/低)×2结构相似性(高/低)三因素混合设计, 考察表面信息和结构信息在基于问题解决范式的类比推理老化中的作用。结果发现, 老年人的类比推理成绩显著差于年轻人。源问题和靶问题的表面相似性和结构相似性的提高, 会促进个体检索源问题, 并提高推理质量。对于老年人而言, 表面相似性更重要; 对于年轻人而言, 结构相似性更重要。     

The impact of anxiety on analogical reasoning

The effect of state anxiety on analogical reasoning was investigated by examining qualitative differences in mapping performance between anxious and non-anxious individuals reasoning about pictorial analogies. The working-memory restriction theory of anxiety, coupled with theories of analogy that link complexity of mapping with working-memory capacity, predicts that high anxiety will impair the ability to find correspondences based on relations between multiple objects relative to correspondences based on overlap of attributes between individual objects. Anxiety was induced in one condition by a stressful speeded subtraction task administered prior to the analogy task. Anxious participants produced fewer relational responses and more attribute responses than did non-anxious participants, both in the absence of explicit instructions to find relational mappings (Experiment 1) and after receiving such instructions (Experiment 2). The findings support the postulated links among anxiety, working memory, and the ability to perform complex analogical mapping.     

Automatic activation of categorical and abstract analogical relations in analogical reasoning

We examined activation of concepts during analogical reasoning. Subjects made either analogical judgments or categorical judgments about four-word sets. After each four-word set, they named the ink color of a single word in a modified Stroop task. Words that referred to category relations were primed (as indicated by longer response times on Stroop color naming) subsequent to analogical judgments and categorical judgments. This finding suggests that activation of category concepts plays a fundamental role in analogical thinking. When colored words referred to analogical relations, priming occurred subsequent to analogical judgments, but not to categorical judgments, even though identical four-word stimuli were used for both types of judgments. This finding lends empirical support to the hypothesis that, when people comprehend the analogy between two items, they activate an abstract analogical relation that is distinct from the specific content items that compose the analogy.     

Surface and structural similarity in analogical transfer

Two experiments investigated factors that influence the retrieval and use of analogies in problem solving, Experiment 1 demonstrated substantial spontaneous analogical transfer with a delay of several days between presentation of the source and target analogues. Experiment 2 examined the influence of different types of similarity between the analogues. A mechanism for retrieval of source analogues is proposed, based on summation of activation from features shared with a target problem. The results of Experiment 2 indicated that both structural features, which play a causal role in determining possible problem solutions, and salient surface features, which do not have a causal role, influence spontaneous selection of an analogue. Structural features, however, have a greater impact than do surface features on a problem solver’s ability to use an analogue once its relevance has been pointed out.     

The role of representations in age differences in analogical reasoning

Age-related declines in the efficiency of a number of cognitive tasks have been postulated to be attributable to decreases with age in the quality of internal representations used to mediate performance on those tasks. This proposal was investigated in a geometric analogies task by manipulating variables (i.e., the number of elements per term and the temporal delay between presentation of pairs of terms) assumed to affect the quality or stability of internal representations. As expected, the performance of older adults was impaired more than that of young adults by these manipulations. Further analyses revealed that these representational deficits may be due to a reduction of approximately 40% in the quantity of some type of processing resource between, approximately, 20 and 70 years of age.     

Neural correlates of creativity in analogical reasoning

Brain-based evidence has implicated the frontal pole of the brain as important for analogical mapping. Separately, cognitive research has identified semantic distance as a key determinant of the creativity of analogical mapping (i.e., more distant analogies are generally more creative). Here, we used functional magnetic resonance imaging to assess brain activity during an analogy generation task in which we varied the semantic distance of analogical mapping (as derived quantitatively from a latent semantic analysis). Data indicated that activity within an a priori region of interest in left frontopolar cortex covaried parametrically with increasing semantic distance, even after removing effects of task difficulty. Results implicate increased recruitment of frontopolar cortex as a mechanism for integrating semantically distant information to generate solutions in creative analogical reasoning.     

The implications of processing event sequences for theories of analogical reasoning

Sternberg (1977a, 1977b) has proposed a componential theory of information processing on analogies. The current study attempts convergent validation of the basic findings in verbal analogies by a method that is based on different underlying assumptions. Although the data were generally consistent with Sternberg’s theory, the data indicated thatapplication is better described by two separate events. Furthermore, the extent of individual differences in strategy models was so substantial that a higher level processing operation, such as control strategies, should be postulated, rather than to support a single-strategy model as characterizing Analogy solving.     

Neuroscientific insights into the development of analogical reasoning

Analogical reasoning, or the ability to find correspondences between entities based on shared relationships, supports knowledge acquisition. As such, the development of this ability during childhood is thought to promote learning. Here, we sought to better understand the mechanisms by which analogical reasoning about semantic relations improves over childhood and adolescence (e.g. chalk is to chalkboard as pen is to…?). We hypothesized that age‐related differences would manifest as differences in the brain regions associated with one or more of the following cognitive functions: (1) controlled semantic retrieval, or the ability to retrieve task‐relevant semantic associations; (2) response control, or the ability to override the tendency to respond to a salient distractor; and/or (3) relational integration, or the ability to consider jointly two mental relations. In order to test these hypotheses, we analyzed patterns of fMRI activation during performance of a pictorial propositional analogy task across 95 typically developing children between the ages of 6 and 18 years old. Despite large age‐related differences in task performance, particularly over ages 6–10 but through to around age 14, participants across the whole age range recruited a common network of frontal, parietal and temporal regions. However, activation in a brain region that has been implicated in controlled semantic retrieval – left anterior prefrontal cortex (BA 47/45) – was positively correlated with age, and also with performance after controlling for age. This finding indicates that improved performance over middle childhood and early adolescence on this analogical reasoning task is driven largely by improvements in the ability to selectively retrieve task‐relevant semantic relationships.     

Structural constraints and object similarity in analogical mapping and inference

Theories of analogical reasoning have viewed relational structure as the dominant determinant of analogical mapping and inference, while assigning lesser importance to similarity between individual objects. An experiment is reported in which these two sources of constraints on analogy are placed in competition under conditions of high relational complexity. Results demonstrate equal importance for relational structure and object similarity, both in analogical mapping and in inference generation. The human data were successfully simulated using a computational analogy model (LISA) that treats both relational correspondences and object similarity as soft constraints that operate within a limited-capacity working memory; but not with a model (SME) that treats relational structure as pre-eminent.     

Tracking cognitive phases in analogical reasoning with event-related potentials

Analogical reasoning consists of multiple phases. Four-term analogies (A:B::C:D) have an encoding period in which the A:B pair is evaluated prior to a mapping phase. The electrophysiological timing associated with analogical reasoning has remained unclear. We used event-related potentials to identify neural timing related to analogical reasoning relative to perceptual and semantic control conditions. Spatiotemporal principal-components analyses revealed differences primarily in left frontal electrodes during encoding and mapping phases of analogies relative to the other conditions. The timing of the activity differed depending upon the phase of the problem. During the encoding of A:B terms, analogies elicited a positive deflection compared to the control conditions between 400 and 1,200 ms, but for the mapping phase analogical processing elicited a negative deflection that occurred earlier and for a shorter time period, between 350 and 625 ms. These results provide neural and behavioral evidence that 4-term analogy problems involve a highly active evaluation phase of the A:B pair.     

Components of analogical reasoning in a mildly head injured population

This study sought to investigate the effects of mild head injury on a particular type of cognitive ability, verbal analogical reasoning. The performance of 19 individuals with head injuries was compared to a group of 30 control subjects matched for age, education, and gender on 100 verbal analogies. Solution times and error rates were modeled. Unstandardized regression weights for individual subjects were correlated with subjects’ performance on a number of standardized ability tests. Results showed that compared to the control subjects, the head injured subjects: (a) were significantly slower to solve the analogies, and were particularly slow to perform certain processes: encoding/inference and comparison; (b) tended to show greater variability in performance; and (c) had data that had a poorer componential model fit. The data suggest that analogical reasoning is affected by a head injury, and that certain information processes may be responsible for performance deficits.     

Relational integration, inhibition, and analogical reasoning in older adults

The difficulty of reasoning tasks depends on their relational complexity, which increases with the number of relations that must be considered simultaneously to make an inference, and on the number of irrelevant items that must be inhibited. The authors examined the ability of younger and older adults to integrate multiple relations and inhibit irrelevant stimuli. Young adults performed well at all but the highest level of relational complexity, whereas older adults performed poorly even at a medium level of relational complexity, especially when irrelevant information was presented. Simulations based on a neurocomputational model of analogical reasoning, Learning and Inference with Schemas and Analogies (LISA), suggest that the observed decline in reasoning performance may be explained by a decline in attention and inhibitory functions in older adults.     

The ABCs of analogical abilities: Evidence for formal analogical reasoning abilities in 24‐month‐olds

Solving formal analogy problems requires the identification of an initial term and the transformation that occurs between the initial two terms as well as the determination of the final term. Experiment 1 tested 24‐month‐olds' ability to determine final terms when they were shown the initial term and told the transformation that was to occur. Children selected their responses from an array of two principled distracters. The children were able to determine the correct final term when they were given information about the initial term and transformation. Experiment 2 tested 24‐month‐olds' ability to solve final‐term problems, partial analogies, and complete analogies. The children solved all the three types of problems.     

Object encoding, goal similarity, and analogical transfer

Although the importance of goal similarity and similarity of encoding are well known in analogical transfer literature, there has never been a study in which one of these factors was maintained constant and the other manipulated. This point was studied in our first experiment. The results show that the interaction between the two factors is not significant. However, the width of the credibility intervals suggests that it is difficult to conclude that there is either a presence or an absence of an interaction. The second experiment concerned more directly the impact of the encoding process on recognition of analogy. The results show that analogical transfer can be highly dependent on the way subjects interpret problems and that the encoding process can be influenced by the visual characteristics of the problems. These results can be related to a recent body of research on the importance of interpretive effects on analogy, as well as to the categorization literature.     

Melting chocolate and melting snowmen: analogical reasoning and causal relations

Children's performance in the classical a:b::c:d analogy task is traditionally very poor prior to the Piagetian stage of formal operations. The interpretation has been that the ability to reason about higher-order relations (the relations between the a:b and c:d parts of the analogy) is late-developing. However, an alternative possibility is that the relations used to date in the analogies are too difficult for younger children. Two experiments presented children aged 3, 4 and 6 years with a:b::c:d analogies which were based on relations of physical causality such as melting and cutting, for example chocolate bar:melted chocolate::snowman:melted snowman. Understanding of these particular causal relations is known to develop between the ages of 3 and 4 years. It was found that even 3-year-olds could solve the classical analogies if they understood the causal relations on which they were based.