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1.
Delinda Van Garderen Marjorie Montague 《Learning disabilities research & practice》2003,18(4):246-254
The purpose of this study was to investigate students' use of visual imagery while solving mathematical problems. Students with learning disabilities (LD), average achievers, and gifted students in sixth grade (N= 66) participated in this study. Students were assessed on measures of mathematical problem solving and visual‐spatial representation. Visual‐spatial representations were coded as either primarily schematic representations that encode the spatial relations described in the problem or primarily pictorial representations that encode persons, places, or things described in the problem. Results indicated that gifted students used significantly more visual‐spatial representations than the other two groups. Students with LD used significantly more pictorial representations than their peers. Successful mathematical problem solving was positively correlated with use of schematic representations; conversely, it was negatively correlated with use of pictorial representations. 相似文献
2.
Self-directed learning with authentic and complex problems (problem-oriented learning) requires that learners observe their
own learning and use additional information when it is appropriate (e.g. hypertextual information in computer-supported learning
environments). Research results indicate that learners in problem-oriented learning environments often have difficulties using
additional information adequately, and that they should be supported. Two studies with a computer-supported problem-oriented
learning environment in the domain of medicine analysed the effects of strategy instruction on the use of additional information
and the quality of the problem representation. In Study 1, an expert model was used for strategy instruction. Two groups were
compared: one group with strategy modelling and one group without. Strategy modelling influenced the frequency of looked-up
hypertextual information, but did not influence the quality of learners' problem representations. This could be explained
by difficulties in applying the general hypertext information to the problem. In Study 2, the additional information was presented
in a more contextualised way as graphical representation of the case and its relevant concepts. Again, two groups were compared:
one with a strategy instruction text and one without. Strategy instruction texts supported an adequate use of this graphical
information by learners and had an effect on the quality of their problem representations. These findings are discussed with
respect to the design of additional help systems in problem-oriented learning environments.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
3.
This paper reports research into children's understanding of mountainous landscapes and mountain genesis as revealed in their drawing and modelling representations and in subsequent interviews. A sample of 444 children aged 7‐11 years was drawn from five UK inner-city schools. Comparisons between the younger (7‐9 years) and older (9‐11 years) children showed significant differences in perception, conception and priorities. The naive interpretation of children's drawings and models is questioned: interview data indicated that children use sophisticated techniques to represent mountains and mountain environments. Children are able to interpret stereotypical representations of mountain landscape features they encounter in books and elsewhere. They make use of a range of conventions in their own drawings that are revealed only in subsequent interviews. Research based solely on the interpretation of children's pictures is shown to be problematic and somewhat unreliable. Children perceive the differences between reality and pictorial representation and make full and conscious use of the range of conventions, including stereotypical forms. 相似文献
4.
Amy E. Ryken 《Journal of Mathematics Teacher Education》2009,12(5):347-364
This documentary account situates teacher educator, prospective teacher, and elementary students’ mathematical thinking in
relation to one another, demonstrating shared challenges to learning mathematics. It highlights an important mathematics reasoning
skill—creating and analyzing representations. The author examines responses of prospective teachers to a visual representation
task and, in turn, their examination of school children’s responses to mathematical tasks. The analysis revealed the initial
tendency of prospective teachers to create pictorial representations and highlights the importance of looking beyond the pictures
created to how prospective teachers use mathematical models. In addition, the challenges prospective teachers face in moving
beyond a ruled-based conception of mathematics and a right/wrong framework for assessing student work are documented. Findings
suggest that analyzing representations helps prospective teachers (and teacher educators) rethink their teaching practices
by engaging with a culture of teaching focused on reading for multiple meanings and posing questions about student thinking
and curriculum materials. 相似文献
5.
The purpose of the experiment was to examine whether students better understand a science text when they are asked to self-generate summaries or to study predefined summaries. Furthermore, we tested the effects of verbal and pictorial summaries. The experiment followed a 2 × 2 design with representation mode (verbal vs. pictorial) and learning activity (self-generating vs. studying) as experimental factors. The main dependent variables were learning performance, measured by a comprehension and a transfer test, and strategy use, measured by self-report scales. Seventy-one students (Grade 10) participated in the study. The results showed that studying predefined summaries in a pictorial representation mode facilitated deep understanding. Furthermore, mediation analysis showed that the effect of representational mode was mediated by students' spatial representations of learning content. The effect of spatial representations was in turn facilitated by mental imagery activities. 相似文献
6.
Deaf children tend to fall behind in mathematics at school. This problem may be a direct result of particular experiences in the classroom; for example, deaf children may find it hard to follow teachers' presentations of basic, but nevertheless quite abstract, mathematical ideas. Another possibility is that the problem starts before school: They may either be worse than hearing children at early, nonlinguistic number representations, they may be behind in learning the culturally transmitted number string, or both. This may result in deaf children failing to develop informal problem-solving strategies, which prepare most children for the more formal learning of number and arithmetic that they will have to do at school. We compared 3- and 4-year-old deaf and hearing children's ability to remember and to reproduce the number of items in a set of objects. In one condition, we presented all the items together in a spatial array; in another, we presented them one at a time in a temporal sequence. Deaf children performed as well as the hearing children in the temporal tasks, but outperformed their hearing counterparts in the spatial task. These results suggest that preschool deaf children's number representation is at least as advanced as that of hearing children, and that they are actually better than hearing children at representing the number of objects in spatial arrays. We conclude that deaf children's difficulties with mathematical learning are not a consequence of a delay in number representation. We also conclude that deaf children should benefit from mathematical instruction that emphasizes spatial representation. 相似文献
7.
Blatto-Vallee G Kelly RR Gaustad MG Porter J Fonzi J 《Journal of deaf studies and deaf education》2007,12(4):432-448
This research examined the use of visual-spatial representation by deaf and hearing students while solving mathematical problems. The connection between spatial skills and success in mathematics performance has long been established in the literature. This study examined the distinction between visual-spatial "schematic" representations that encode the spatial relations described in a problem versus visual-spatial "pictorial" representations that encode only the visual appearance of the objects described in a problem. A total of 305 hearing (n = 156) and deaf (n = 149) participants from middle school, high school, and college participated in this study. At all educational levels, the hearing students performed significantly better in solving the mathematical problems compared to their deaf peers. Although the deaf baccalaureate students exhibited the highest performance of all the deaf participants, they only performed as well as the hearing middle school students who were the lowest scoring hearing group. Deaf students remained flat in their performance on the mathematical problem-solving task from middle school through the college associate degree level. The analysis of the students' problem representations showed that the hearing participants utilized visual-spatial schematic representation to a greater extent than did the deaf participants. However, the use of visual-spatial schematic representations was a stronger positive predictor of mathematical problem-solving performance for the deaf students. When deaf students' problem representation focused simply on the visual-spatial pictorial or iconic aspects of the mathematical problems, there was a negative predictive relationship with their problem-solving performance. On two measures of visual-spatial abilities, the hearing students in high school and college performed significantly better than their deaf peers. 相似文献
8.
9.
The study drew on Bernstein's theory and Moscovici's theory of Social Representations to investigate how children in classrooms with different types of structuration developed social representation of the curriculum. Comparable case studies were carried out in schools chosen to reflect three types of pedagogy according to Bernstein's typology. Twelve classrooms took part and ethnographic investigations were employed to compile a typology of recognition and realisation rules to map the range and type of curriculum structuration in each. Children's representations of the curriculum were investigated through specially designed tasks. Findings showed that as children gained experience of schooling they constructed more elaborate social representations of the curriculum regardless of the pedagogic mode and that classroom structuration became a feature of the junior rather than the infant children's representations. Older children in classrooms with performance pedagogies had two classifications for recognising classroom culture, while those in classrooms with mixed and competence pedagogies did not. 相似文献
10.
Erica Rosenfeld Halverson 《学习科学杂志》2013,22(1):121-162
In this article I bring artistic production into the learning sciences conversation by using the production of representations as a bridging concept between art making and the new literacies. Through case studies with 4 youth media arts organizations across the United States I ask how organizations structure the process of producing autobiographical digital art through a focus on representational tasks and how learning can be traced by examining youth artists' representations over time. Using a distributed cognition framework I analyze data on the process of making digital art in terms of the macro and micro tasks performed in order to identify occasions for external representation construction and use across organizations. I then examine how individual youth engage in these macro and micro tasks by producing representations that demonstrate their understanding. These analyses show that youth media arts organization production processes engage young artists in a representational trajectory that begins with developing a story about the self, moves toward a focus on how the tools of the medium afford representation of that story, and culminates in digital representations that reflect an understanding of the relationship between story and tools. 相似文献
11.
《Learning and Instruction》2006,16(3):213-227
This article develops a theoretical framework for the study of students' construction of mixed multiple external representations in design-based learning situations involving an adaptation of professional tasks and tools to a classroom setting. The framework draws on research on professional design processes and on learning with multiple external representations. An authentic classroom situation and student dialogue and productions from one dyad were interpreted in the light of the framework in order to uncover major pitfalls of design-based learning situations. In particular, students showed a preoccupation with geometrical features of problems and solutions in contrast to the framework-derived importance of geometrical, material and functional features of future artefacts. Lack of occurrences of deep understanding in relating representations by students might be due to them being novices to the design task as the intertwined construction and representation of a future artefact. 相似文献
12.
Representations are used extensively in mathematics and translation ability is highly correlated with success in mathematics education. The authors investigate the translation ability of university students as far as the concept of function is concerned. The research focuses on the relationship between success in, solving direct translation tasks and success in solving problems by articulating different representations of the concept of function. Furthermore, it examines the relationship between student performance and the nature of the representation included in the translation task. The ability to pass from one representation to another was associated with success in problem solving. These results indicate that translation ability should be considered as an important factor in problem solving. Percentages are lower when an iconic representation is included in the translation task. This could be partly attributed to the holistic nature of iconic representations and to the way the concept of function is taught at secondary schools. 相似文献
13.
We argue that learning science requires children to move from perceptually based representations to more abstract conceptual representations and to understand that appearance may sometimes deceive us and that the same phenomenon in the world can have more than one representation when seen from different perspectives. We also argue that the beginnings of such an epistemological perspective can be found in young children’s ability to think about the difference between their beliefs and the beliefs of others in the social domain, i.e., their Theory of Mind. We present the results of two empirical studies that show significant correlations between children’s growing Theory of Mind, developing epistemological thinking, and science learning, and suggest that Theory of Mind tasks can be used to promote conceptual change in science. 相似文献
14.
In two experiments, eye tracking was used to investigate whether learners construct a mental representation during learning that integrates information from text and pictures. The experimental groups received inconsistent text-picture information on one or two pages of the learning materials. The control groups received only consistent text-picture information. It was expected that learners of the experimental groups should have difficulties in integrating text-picture information when faced with the inconsistencies. This should be reflected in their gaze behavior. Experiment 1 (N = 51) and Experiment 2 (N = 45) confirmed that assumption for several eye tracking variables. Regarding learning outcomes, only in Experiment 1 worse performance of the experimental group was observed. Furthermore, Experiment 2 revealed that the majority of learners did not remember the inconsistency between text and picture when asked for it after learning. In sum, the results add to our understanding about the cognitive processes underlying multimedia learning. 相似文献
15.
The Effect of Two-dimensional and Stereoscopic Presentation on Middle School Students’ Performance of Spatial Cognition Tasks 总被引：1，自引：1，他引：0
We investigated whether and how student performance on three types of spatial cognition tasks differs when worked with two-dimensional
or stereoscopic representations. We recruited nineteen middle school students visiting a planetarium in a large Midwestern
American city and analyzed their performance on a series of spatial cognition tasks in terms of response accuracy and task
completion time. Results show that response accuracy did not differ between the two types of representations while task completion
time was significantly greater with the stereoscopic representations. The completion time increased as the number of mental
manipulations of 3D objects increased in the tasks. Post-interviews provide evidence that some students continued to think
of stereoscopic representations as two-dimensional. Based on cognitive load and cue theories, we interpret that, in the absence
of pictorial depth cues, students may need more time to be familiar with stereoscopic representations for optimal performance.
In light of these results, we discuss potential uses of stereoscopic representations for science learning. 相似文献
16.
《Learning and Instruction》2006,16(2):122-138
Most mathematical problems can be solved using different methods. We tested the effectiveness of presenting more than one solution method by means of worked-out examples. In Experiment 1, a 2 × 3-factorial design was implemented (“multiple solutions”: multiple/uniform; “instructional support”: none/self-explanations/instructional explanations). Multiple solutions fostered learning. However, no positive effect was found for instructional support. In Experiment 2, effects of varying the representational code of solutions were studied, using three conditions (multiple solutions with multiple representations; multiple solutions sharing one representation; uniform solution). No effect of multiple solutions on learning was found. They even reduced some important spontaneous learning activities. Further research should focus on the context conditions under which multiple solutions are effective. 相似文献
17.
学习困难儿童观看图片的眼动研究 总被引：2，自引：0，他引：2
本文探讨了学习困难儿童(学困儿童)观看图片过程的认知加工及眼动特性。要求被试观看图片后回答相关问题,并对观看过程中的眼动情况进行记录。结果发现,与学习优秀儿童、学习一般儿童相比,学困儿童提取图片信息的效率低,完成认知任务的质量差;在眼动参数上,学困儿童的注视次数多,眼跳距离小,与其他两组儿童相比差异显著。结果提示,学困儿童认知加工效率低与眼动模式差关系密切。 相似文献
18.
Karin Ehrlén 《International Journal of Science Education》2013,35(1):41-57
Drawings are often used to obtain an idea of children's conceptions. Doing so takes for granted an unambiguous relation between conceptions and their representations in drawings. This study was undertaken to gain knowledge of the relation between children's conceptions and their representation of these conceptions in drawings. A theory of contextualization was the basis for finding out how children related their contextualization of conceptions in conceptual frameworks to their contextualization of drawings in pictorial convention. Eighteen children were interviewed in a semi‐structured method while they were drawing the Earth. Audio‐recorded interviews, drawings, and notes were analysed to find the cognitive and cultural intentions behind the drawings. Also, even children who demonstrated alternative conceptions of the Earth in the interviews still followed cultural conventions in their drawings. Thus, these alternative conceptions could not be deduced from the drawings. The results indicate that children's drawings can be used to grasp children's conceptions only by considering the meaning the children themselves give to their own drawings. 相似文献
19.
This paper presents a study on mathematical problem solving in third-grade pupils. The relationship between mathematics, metacognition
and intelligence was investigated in children with (n = 191) and without mathematical learning disabilities (n = 268). A significant relationship was found between prediction, evaluation, intelligence, procedural and mathematical fact
retrieval skills in children without mathematical learning disabilities. In the children with mathematical learning disabilities
a relationship was found between metacognitive and procedural skills. No such relationship was found between intelligence
and metacognition or between metacognition and mathematical fact retrieval skills. In addition it was investigated if children
with mathematical learning disabilities had less adequate metacognitive skills than peers without learning problems. At group
level significant differences were found between both groups. However on analyzing these results further, it was found that
four out of five children with combined mathematical learning disabilities, half of the children with procedural disabilities
and only 5% of the children with a retrieval deficiency had low metacognitive skills. Furthermore, metacognitive problems
were found in one out of five children without learning disabilities. Moreover, a majority of the children with mathematical
learning disabilities and inadequate metacognitive skills had problems with prediction and evaluation skills. Most third graders
with low metacognitive skills only appeared to have problems predicting the level of difficulty of tasks. Inaccurate evaluations
were found on a more regular basis in children with mathematical learning disabilities and inadequate metacognitive skills
as opposed to the sample of children with inadequate metacognitive skills but without learning difficulties, where their occurrence
was rather a one off. The implications of this study for diagnosis and treatment will be discussed later in this paper. 相似文献
20.
《Australian Journal of Learning Difficulties》2013,18(1):13-34
Children with general learning difficulties commonly show lower school success and have a slower rate of learning. They show limited and inefficient strategy use in all kinds of tasks. Efficient strategy use requires a certain degree of metacognitive knowledge and executive control. A sample of 16 children (ages 8 to 12) with learning difficulties participated in a 3-month metacognitive training intervention that alternated between curriculum-related and curriculum-unrelated tasks. The children were indirectly taught cognitive and metacognitive strategies by means of guided prompting. The application of the strategies and the children's metacognitive knowledge were evaluated through observation of their behavior and verbalizations. Children showed progress in strategy use and metacognitive knowledge in both types of tasks, but it was only in the more concrete strategies that a positive correlation was found between application and quality of reflection. It is hypothesized that children perceived these concrete strategies to be of most practical value and they were therefore able to reflect most accurately on their use. 相似文献