Analogical problem solving: a hierarchical analysis of procedural similarity

Similarity between source analogues and target problems is a central theme in the research on analogical transfer. Much of the theorizing and research has focused on the effects of superficial and structural similarity on transfer. The present research is an attempt to analyze systematically another critical type of similarity, namely, procedural similarity, and to examine its effects on the executing process. Participants viewed a schematic picture as a source model, interpreted its conceptual meaning, and then attempted to solve a problem to which the conceptual information from the source model could be applied. The results indicate that the ease with which a source solution was implemented was largely determined by the abstraction level at which a solution was shared by a source analogue and the target problem. The degree of procedural similarity was also found to influence the executing process in analogical transfer. A conceptual model concerning the function of procedural similarity as a utilizational constraint in analogical problem solving is proposed.     

小学生数学问题解决中视觉空间表征的研究

本研究区分了两类数学应用题:非视觉化题目与视觉化题目,采用数学测验与个别访谈相结合的方法,考察了54名小学四、五、六年级不同学业水平学生的视觉空间表征。结果表明:图式表征在非视觉化题目与视觉化题目上都极大地促进了问题解决,图像表征妨碍非视觉化题目的解决但与视觉化题目的解决无关,并提出图式表征和图像表征在两类题目上有不同的含义。六年级学生的解题成绩及图式表征有显著的提高,但图像表征与年级因素无关。差生的图式表征能力很差,而在视觉化题目上使用图像表征显著地多于优生及中等生。在非视觉化题目的非视觉空间表征与图式表征之间的转换灵活性上,优生表现了明显的优势。     

Transfer between Picture Books and the Real World by Very Young Children

Picture book reading is a very common form of interaction between parents and very young children. Here we explore to what extent young children transfer novel information between picture books and the real world. We report that 15- and 18-month-olds can extend newly learned labels both from pictures to objects and from objects to pictures. However, the degree to which they do so is affected by iconicity—how much the objects and pictures resemble one another. The children in these studies more often extended the labels between picture and object when realistic photographs and drawings were involved than less realistic cartoons. These results show that higher levels of perceptual similarity between symbol and referent make the referential relation more transparent, thereby helping children transfer information between them. Thus, the educational function of early picture book interactions may best be served with realistic illustrations.     

Conceptual transfer insimple insight problems

Three experiments explored the conditions under which information presented in the first part of an experiment facilitates the subsequent solving of simple insight problems. We argue that previous unsuccessful attempts to obtain such facilitation are attributable to the experimenters’ failure to present this information in a form that induces the conceptual operations needed to solve the problem. Substantial facilitation is obtained if the information is presented in a form that induces a few seconds of puzzlement and then a clue is presented that leads to an appropriate reconception; if identical information is presented without such a period of puzzlement and reconception, no facilitation is observed. The results demonstrate that conceptual processing operations, not merely informational content, must be relevant if conceptual transfer is to occur. One possible mechanism involved in such transfer is the indexing of concepts such that they contain pointers to conceptually anomalous episodes     

Integrating pictorial information across eye movements

Six experiments are reported dealing with the types of information integrated across eye movements in picture perception. A line drawing of an object was presented in peripheral vision, and subjects made an eye movement to it. During the saccade, the initially presented picture was replaced by another picture that the subject was instructed to name as quickly as possible. The relation between the stimulus on the first fixation and the stimulus on the second fixation was varied. Across the six experiments, there was about 100-130 ms facilitation when the pictures were identical compared with a control condition in which only the target location was specified on the first fixation. This finding clearly implies that information about the first picture facilitated naming the second picture. Changing the size of the picture from one fixation to the next had little effect on naming time. This result is consistent with work on reading and low-level visual processes in indicating that pictorial information is not integrated in a point-by-point manner in an integrated visual buffer. Moreover, only about 50 ms of the facilitation for identical pictures could be attributed to the pictures having the same name. When the pictures represented the same concept (e.g., two different pictures of a horse), there was a 90-ms facilitation effect that could have been the result of either the visual or conceptual similarity of the pictures. However, when the pictures had different names, only visual similarity produced facilitation. Moreover, when the pictures had different names, there appeared to be inhibition from the competing names. The results of all six experiments are consistent with a model in which the activation of both the visual features and the name of the picture seen on the first fixation survive the saccade and combine with the information extracted on the second fixation to produce identification and naming of the second picture.     

Object identification: The mental representation of physical and conceptual attributes

In two experiments, subjects indicated whether two pictures of familiar objects were equivalent. The picture pairs were identical, showed the same object in various perspectives and states, or showed different objects with varying degrees of conceptual relatedness. In Experiment 1, the equivalence criterion for judging the picture pairs was varied between subjects (identity of pictures; conceptual equivalence of objects at subordinate, basic, or superordinate level). The reaction times of the four subject groups suggest that a pictorial stimulus is not always mentally represented in the same way, and that the instructions given determine which attributes of the stimulus are represented. In Experiment 2, the visual similarity of the picture pairs was varied. The results indicate, at least with a basic-level equivalence instruction, that not only perceptual, but also non-perceptual, functional attributes are represented—namely, those that, according to Rosch et al. (1976), are common to the members of a superordinate category.     

Conceptual versus Perceptual Priming in Incomplete Picture Identification

This paper examined conceptual versus perceptual priming in identification of incomplete pictures by using a short-term priming paradigm, in which information that may be useful in identifying a fragmented target is presented just prior to the target’s presentation. The target was a picture that slowly and continuously became complete and the participants were required to press a key as soon as they knew what it was. Each target was preceded by a visual prime. The nature of this prime varied from very conceptual (e.g., the name of the picture’s category) to very perceptual (e.g., a similar-shaped pictorial prime from a different category). Primes also included those that combined perceptual and conceptual information (e.g., names or images of the target picture). Across three experiments, conceptual primes were effective while the purely perceptual primes were not. Accordingly, we conclude that pictures in this type of task are identified primarily by conceptual processing, with perceptual processing contributing relatively little.     

Theoretical analysis of the cognitive processing of lexical and pictorial stimuli: reading, naming, and visual and conceptual comparisons

This article reviews the research literature on the differences between word reading and picture naming. A theory for the visual and cognitive processing of pictures and words is then introduced. The theory accounts for slower naming of pictures than reading of words. Reading aloud involves a fast, grapheme-to-phoneme transformation process, whereas picture naming involves two additional processes: (a) determining the meaning of the pictorial stimulus and (b) finding a name for the pictorial stimulus. We conducted a reading-naming experiment, and the time to achieve (a) and (b) was determined to be approximately 160 ms. On the basis of data from a second experiment, we demonstrated that there is no significant difference in time to visually compare two pictures or two words when size of the stimuli is equated. There is no difference in time to make the two types of cross-modality conceptual comparisons (picture first, then word, or word first, then picture). The symmetry of the visual and conceptual comparison results supports the hypothesis that the coding of the mind is neither intrinsically linguistic nor imagistic, but rather it is abstract. There is a potent stimulus size effect, equal for both pictorial and lexical stimuli. Small stimuli take longer to be visually processed than do larger stimuli. For optimal processing, stimuli should not only be equated for size, but should subtend a visual angle of at least 3 degrees. The article ends with the presentation of a mathematical theory that jointly accounts for the data from word-reading, picture-naming visual comparison, and conceptual-comparison experiments.     

Rotation of objects in pictures viewed at an angle: evidence for different properties of two types of pictorial space

As an observer views a picture from different viewing angles, objects in the picture appear to change orientation relative to the observer, but some objects change orientation more than others. This difference in rotation for different objects is called the differential rotation effect. The differential rotation is not, however, accompanied by corresponding changes in the perception of the spatial layout of objects in the picture. This lack of correspondence between the perception of rotation and the perception of spatial layout is a result of the fact that the information on a picture's surface defines two kinds of pictorial space with different properties. Rotation is perceived in terms of the pictorial space outside the picture, and spatial layout is perceived in terms of the pictorial space inside the picture.     

数学学习不良儿童视觉-空间表征与数学问题解决

采用临床访谈的方法,考察了30名数学学习不良(MD)儿童和31名一般儿童的数学问题解决、视觉-空间表征策略和空间视觉化能力。结果发现：图式表征能促进数学问题的解决,图像表征则起妨碍作用;空间视觉化能力与解题正确率及图式表征策略有显著正相关,与图像表征策略有显著负相关。MD儿童的解题正确率以及使用图式表征策略的程度显著低于一般儿童,使用图像表征策略的程度则显著高于一般儿童。在解题正确率和图式表征策略这两个变量上,MD儿童和一般儿童的年级发展趋势相同,都随年级的升高而提高。但在图像表征策略的使用上,一般儿童有随年级的升高而下降的趋势,MD儿童却没有下降的趋势。两类儿童的空间视觉化能力都随年级的升高而提高。     

Reasoning about the referent of a picture versus reasoning about the picture as the referent: An effect of visual realism

Research on picture perception and picture-based problem solving has generally considered the information that enables one to “see” and think about a picture’s subject matter. However, people often reason about a picture or representation as the referent itself. The question addressed here is whether pictorial features themselves help determine when one reasons about the referent of an image, as with an engrossing movie, and when one reasons about the image in its own right, as with abstract art. Two experiments tested the hypothesis that pictures with relatively high fidelity to their referents lead people to think about those referents, whereas pictures with relatively low fidelity lead people to think about the picture as a referent. Subjects determined whether marks on the bottom and top boards of an open hinge would meet if the hinge were closed. Accuracy and latency results indicated that subjects who saw realistic displays simulated the physical behavior of the hinge through analog imagery. In contrast, subjects who saw schematic displays tended to reason about static features of the display such as line lengths and angles. The results demonstrate that researchers must be cautious when generalizing from reasoning about diagrammatic materials to reasoning about the referents themselves.     

问题表征方式与数学问题解决的研究

阐述了问题表征在数学问题解决中的作用;重点探讨了抽象表征、原理表征、图式表征等不同表征方式与数学问题解决的关系;最后提出通过选择与转换两种策略来寻求适宜的问题表征方式。     

小学生应用题表征的类型和特点

以124名小学六年级学生为被试。采用应用题解决问卷考查了我国小学生应用题表征的类型和特点。结果表明小学生应用题的表征方式有复述内容、图式表征、图片表征、直译表征、语义结构分析等;成功解题者和不成功解题者对各种表征方式的使用次数上没有显着差异;成功解题者和不成功解题者在各种表征方式下的解题成绩有显着差异,成功解题者在图式表征、直译表征和语义结构分析表征下的成绩显着优于不成功解题者。     

Transfer of training: Effects of successive pretraining of components in a dimension-abstracted oddity task

An experiment was conducted investigating the effects of training two components of a dimension-abstracted oddity problem, oddity responding and attention. All Ss were given a series of three problems. Type of oddity training was manipulated on Problem 1, and Ss learned (1) an oddity response in a problem whose format was the same as the final transfer problem, (2) an oddity response in a problem whose format was different from the final problem, or (3) no oddity response. Attention training was manipulated on Problem 2. The results indicated that Ss given same format oddity training and appropriate attention training were able to integrate that information on the final problem, that the probability of transferring the oddity response learned on Problem 1 to Problem 3 depended upon the similarity of the task formats, and that the two trained components tended to combine in an interactive fashion.     

小学儿童规则发现的类比迁移研究

本研究以小学儿童为被试,证实了在策略提示条件下解决规则发现(合取规则和析取规则)的类比问题时,任务难度和表面相似性是影响策略的迁移的重要因素,并且发现小学儿童的思维能力存在着较大的个体差异.他们在问题解决时主要使用单维检验策略,多数小学儿童缺乏较强的元认知监控.     

Episodic encoding and recognition of pictures and words: role of the human medial temporal lobes

In the present PET study, we examined brain activity related to processing of pictures and printed words in episodic memory. Our goal was to determine how the perceptual format of objects (verbal versus pictorial) is reflected in the neural organization of episodic memory for common objects. We investigated this issue in relation to encoding and recognition with a particular focus on medial temporal-lobe (MTL) structures. At encoding, participants saw pictures of objects or their written names and were asked to make semantic judgments. At recognition, participants made yes-no recognition judgments in four different conditions. In two conditions, target items were pictures of objects; these objects had originally been encoded either in picture or in word format. In two other conditions, target items were words; they also denoted objects originally encoded either as pictures or as words. Our data show that right MTL structures are differentially involved in picture processing during encoding and recognition. A posterior MTL region showed higher activation in response to the presentation of pictures than of words across all conditions. During encoding, this region may be involved in setting up a representation of the perceptual information that comprises the picture. At recognition, it may play a role in guiding retrieval processes based on the perceptual input, i.e. the retrieval cue. Another more anterior right MTL region was found to be differentially involved in recognition of objects that had been encoded as pictures, irrespective of whether the retrieval cue provided was pictorial or verbal in nature; this region may be involved in accessing stored pictorial representations. Our results suggest that left MTL structures contribute to picture processing only during encoding. Some regions in the left MTL showed an involvement in semantic encoding that was picture specific; others showed a task-specific involvement across pictures and words. Together, our results provide evidence that the involvement of some but not all MTL regions in episodic encoding and recognition is format specific.     

Pictorial and conceptual representation of glimpsed pictures

Pictures seen in a rapid sequence are remembered briefly, but most are forgotten within a few seconds (M. C. Potter. A. Staub, J. Rado. & D. H. O'Connor. 2002). The authors investigated the pictorial and conceptual components of this fleeting memory by presenting 5 pictured scenes and immediately testing recognition of verbal titles (e.g., people at a table) or recognition of the pictures themselves. Recognition declined during testing, but initial performance was higher and the decline steeper when pictures were tested. A final experiment included test decoy pictures that were conceptually similar to but visually distinct from the original pictures. Yeses to decoys were higher than yeses to other distractors. Fleeting memory for glimpsed pictures has a strong conceptual component (conceptual short-term memory), but there is additional highly volatile pictorial memory (pictorial short-term memory) that is not tapped hy a gist title or decoy picture.     

The development of the picture‐superiority effect

When pictures and words are presented serially in an explicit memory task, recall of the pictures is superior. While this effect is well established in the adult population, little is known of the development of this picture‐superiority effect in typical development. This task was administered to 80 participants from middle childhood to adolescence. The magnitude of the picture superiority effect increased with age. This finding is interpreted as supporting the position that pictorial superiority is contingent upon the encoding of pictorial information through two different routes.     

Prior experience and complex procedures

The role of prior knowledge in learning complex procedures was investigated in a transfer task in which subjects learned two related procedures in sequence. In Experiment 1, we manipulated the conceptual and structural similarity between the two procedures; in Experiment 2, we manipulated whether the order of the steps within subprocedures was the same or different during training and transfer, or whether the order of the subprocedures was the same or different. The results lead us to hypothesize that transfer in complex procedures is mediated primarily by a memory for specific steps rather than by conceptual understanding or problem solving. In particular, we were able to model the results precisely on the assumption that subjects use superficial similarity to retrieve the sequences of steps needed to perform segments of the procedure.     

Transfer of conditional reasoning: Effects explanations and initial problem types

Transfer of reasoning on Wason's (1966) selection task was explored in three experiments. Experiment 1 tested the effects of problem explanations and verbalization instructions on transfer from abstract or thematic problems to abstract problems. Explanations facilitated transfer only when the initial problems were abstract; verbalization did not produce transfer between problems. Experiment 2 explored the effects of problem similarity and explanations on transfer between problems. Although transfer occurred following explanations, no effect of similarity was found for thematic problems. In both of these experiments, the thematic effect (Wason & Shapiro, 1971) was observed. Experiment 3 examined the effects of explanations to abstract or thematic problems on transfer to subsequent abstract or thematic problems. Transfer of reasoning occurred from both initial problem types, particularly to problems of the same type; however, transfer occurred to a greater extent from abstract problems than from thematic problems. The results are discussed in terms of problem similarity and Cheng and Holyoak's (1985) pragmatic reasoning schema hypothesis.