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1.
If we carefully observe the spatial and temporal organization of students' pen strokes as they solve an engineering problem, can we predict their ability to achieve the correct answer? To address this question, 122 college students were asked to solve exam problems in an engineering course using a smartpen that recorded their writing as digitized timestamped pen strokes. The pen stroke data was used to compute a collection of 10 metrics characterizing various elements of problem-solving fluency including the tendency to progress down the page without revisions, the amount of time with no activity, and the frequency of constructing and using equations. The primary finding is that, on average across 13 different exam problems, these elements of problem-solving process explained 40% of the variance in scores of the correctness of the problem solution. In short, success on generating correct solutions was related to the fluency of the student's problem-solving process (i.e., working sequentially from the top to the bottom of the page, working without detours or long pauses, and working by constructing equations). This work is consistent with the idea that expertise in solving common engineering problems involves being able to treat them like routine rather than non-routine problems. 相似文献
2.
《PRIMUS》2012,22(4):359-368
ABSTRACT This article describes a course in problem solving which the author taught during a January “short term”. Undergraduates not majoring in mathematics or science often find it difficult to understand and engage in true mathematical thought. The problem solving course described here was unusually successful in bringing average students to mathematical thinking. 相似文献
3.
Mikel Garmendia Jenaro Guisasola Egoitz Sierra 《European Journal of Engineering Education》2007,32(3):315-323
Visualizing parts, meaning interpreting the views of an object which has been represented in a drawing, is a fundamental skill in engineering. However, learning deficiencies and difficulties have been observed among engineering undergraduates, and there is a high failure rate in drawing courses. In order to determine the origin of these deficiencies, a qualitative design has been developed based on personal interviews. A group of students was interviewed to analyse the solution process they applied to three visualization problems with increasing difficulty. The steps they took were structured and categorized along with the difficulties and deficiencies which were detected. Most of the students affirmed that they did not possess methodology to solve these problems and relied on trial and error and intuition. The results seem to indicate that there are specific difficulties and that it is possible to define a set of skills which guide students through the process of visualizing parts. 相似文献
4.
问题解决策略的认知和元认知研究 总被引:1,自引:0,他引:1
介绍了国内外学者近年来对问题解决策略的认知和元认知研究的最新成果:Alessandro Antonietti和梁宁建等人所做的大学生对一般问题解决策略的元认知的调查,Daniela Lueangeli等人所做的算术应用题解决中的认知和元认知能力的研究. 相似文献
5.
Tower of Hanoi has become a popular tool in cognitive and neuropsychology to assess a set of behaviors collectively referred to as executive functions. Substantial variability in performance on the Tower of Hanoi (TOH) disk-transfer task among normally functioning young adults, and potential contributions to these individual differences, were examined. In this expanded 60-problem version of the four-disk TOH, the degree to which problem administration (blocked vs. random) and strategy knowledge influenced overall performance and changes in accuracy across problems was examined. Eighty-seven college students were randomly assigned to a Blocked Group (problems given in ascending order of move-length) and a Random Group (problems given in a random order). After administration of the TOH task, participants described their problem solving and these verbal protocols were analyzed with regard to four elements of a strategic approach to problem solving. Problem administration order demonstrated no effect on task performance or on expressed strategy knowledge; however, strategy knowledge did predict performance on the TOH. An expected decrease in performance across trials was observed in the Blocked Group, and an increase in accuracy in the Random group indicated a learning effect. Strategy knowledge did not interact with these changes in performance across the items. These results suggest that external cues do not influence performance on the TOH to the same extent as individual differences in strategy induction relatively early in the problem solving process. 相似文献
6.
Troubleshooting is a common form of problem solving. Technicians (e.g., automotive mechanics, electricians) and professionals (physician, therapists, ombudspersons) diagnose faulty systems and take direct, corrective action to eliminate any faults in order to return the systems to their normal states. Traditional approaches to troubleshooting instruction have emphasized either theoretical or domain knowledge about the system or specific troubleshooting procedures. These methods have failed to develop transferable troubleshooting skills in learners. In this article, we propose an architecture for designing learning environments for troubleshooting. The architecture integrates experiential, domain, and device knowledge in a learning system that enables learners to generate and test hypotheses for every action they take, relate every action to a conceptual model of the system, and query experienced troubleshooters about what they would do. The architecture includes three essential components: A multi-layered conceptual model of the system that includes topographic, function, strategic, and procedural representations; a simulator that requires the learner to generate hypotheses, reconcile the hypotheses to the system mode, test the hypotheses, and interpret the results from the test; and a case library that uses a case-based reasoning engine to access relevant stories of troubleshooting experiences as advice for the learner. This novel architecture can be used to develop learning environments for different kinds of troubleshooting. 相似文献
7.
Eric Kuo Nicole R. Hallinen Luke D. Conlin 《International Journal of Science Education》2013,35(7):814-839
ABSTRACTOne aim of school science instruction is to help students become adaptive problem solvers. Though successful at structuring novice problem solving, step-by-step problem-solving frameworks may also constrain students’ thinking. This study utilises a paradigm established by Heckler [(2010). Some consequences of prompting novice physics students to construct force diagrams. International Journal of Science Education, 32(14), 1829–1851] to test how cuing the first step in a standard framework affects undergraduate students’ approaches and evaluation of solutions in physics problem solving. Specifically, prompting the construction of a standard diagram before problem solving increases the use of standard procedures, decreasing the use of a conceptual shortcut. Providing a diagram prompt also lowers students’ ratings of informal approaches to similar problems. These results suggest that reminding students to follow typical problem-solving frameworks limits their views of what counts as good problem solving. 相似文献
8.
This article tackles the problem of what should be done with real textual data that are contaminated by errors of recording, particularly when the data contain words that are misspelt, unintentionally or otherwise. 相似文献
9.
David M. Faul 《Teaching Statistics》2013,35(1):46-48
This article describes how practice problems for the actuarial examination in probability can be used to encourage active, collaborative learning. 相似文献
10.
《PRIMUS》2012,22(3):247-261
ABSTRACT In this article, I describe how modifying familiar classroom formats in a college geometry class helped to encourage student problem solving. These modified formats, which resemble the problem-solving settings of mathematicians, are described in the context of problems my students and I explored. It is hoped that this paper's success stories encourage the reader to consider experimenting with classroom formats as a resource for encouraging student problem-solving. 相似文献
11.
Jean-Franois Rouet 《Learning and Instruction》2009,19(5):445-450
Designers of interactive learning environments face the issue of managing the learner's cognitive load, reducing irrelevant sources while optimizing useful sources of load. I propose a conceptual framework aimed at organizing the contributions of the papers presented in this special issue. The framework identifies three main dimensions, namely individual, task and environment, which may have specific or combined effects on the amount and type of cognitive load experienced during learning activities. I summarize some of the findings presented in the special issue with respect to each of these dimensions. Then I discuss some limitations of the studies and some perspectives for further research in the domain. I emphasize the need to control learners’ level of familiarity with the task setting and environment features, not just their prior knowledge of the content area, in order to obtain reliable assessments of cognitive load and learning outcomes. 相似文献
12.
Paper-and-pencil learning and testing are gradually shifting to computerized environments. Cognitive and metacognitive researchers find screen inferiority compared to paper in effort regulation, test performance, and extent of overconfidence, in some cases, with unknown differentiating factors. Notably, these studies used reading comprehension tasks involving lengthy texts, which confound technology-related and cognitive factors. We hypothesized that the medium provides a contextual cue which leads to shallower processing on screen regardless of text length, particularly when task characteristics hint that shallow processing is legitimate. To test this hypothesis, we used briefly phrased yet challenging problems for solving on screen or on paper. In Experiment 1, the time frame for solving the problems was manipulated. As with lengthy texts, only time pressure resulted in screen inferiority. In Experiment 2, under a loose time frame, the same problems were now framed as a preliminary task performed before a main problem-solving task. Only the initial task, with reduced perceived importance, revealed screen inferiority similarly to time pressure. In Experiment 3, we replicated Experiment 1's time frame manipulation, using a problem-solving task which involved reading only three isolated words. Screen inferiority in overconfidence was found again only under time pressure. The results suggest that metacognitive processes are sensitive to contextual cues that hint at the expected depth of processing, regardless of the reading burden involved. 相似文献
13.
知识与能力的关系不是线性的,知识向能力转化受知识类型、学习策略、学习情境等中介变量的制约。研究知识向能力转化的条件与策略是深化新课程改革、实施素质教育的迫切需要。新的知识观认为知识可分为三大类:陈述性知识、程序性知识和策略性知识。知识转化为能力,需陈述性知识与程序性知识之间相互转化,策略性知识调控陈述性知识和程序性知识的学习;问题解决检验个体能力的高低。 相似文献
14.
The ability to successfully discriminate between multiple potentially relevant source analogs when solving new problems is crucial to proficiency in a mathematics domain. Experimental findings in two different mathematical contexts demonstrate that providing cues to support comparative reasoning during an initial instructional analogy, relative to teaching the same analogs and solution strategies without such cues, led to increased ability to discriminate between relevant analogs at a later test. Specifically, providing comparative gestures and visibly aligned source and target problems during initial learning led to higher rates of positive extension of learning to new contexts, and lower rates of susceptibility to misleading contextual features, both immediately and after a week delay. 相似文献
15.
侯军宏 《雁北师范学院学报》2001,17(5):92-93
向量具有一套完整的运算性质,利用这些性质对题目进行分析转化,联想,构造,解题途径便有规律可循,学生在解题时就游刃有余,轻松自如,同时空间向量的引入对高一层次的基础教育起到了衔接作用,总之,空间向量的引进,对中学数学无论在理论上还是实践上都具有重要意义。 相似文献
16.
《PRIMUS》2012,22(3):284-314
ABSTRACT The purpose of this study was to examine the differences between the metacognitive behaviors exhibited by experts and novices. Of particular interest was the degree to which subjects managed or controlled their behavior and the extent to which solutions, particularly by experts, were schema driven. Nine novices (college freshman) and six experts (first and second year graduate students in mathematics) were asked to think aloud while solving four mathematics problems: (1) a routine problem; (2) a problem with more than one obvious path; (3) a nonroutine problem that involved the use of the skills used in the routine problem; and (4) a problem with insufficient or contradictory information. The verbal protocols provide evidence that:
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experts in this study possessed and used schemas to solve problems but schema use did not fully or adequately characterize expertise;
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of the two aspects of metacognition - beliefs about cognition and control of cognition - beliefs played a more important role than control; and
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assessment of work is not in and of itself useful; assessments must be acted on.
17.
Norbert A. Streitz 《International Journal of Science Education》2013,35(3):307-313
Summaries English The article presents an account of the personal experiences of the author during his participation in an American graduate programme in science education. The author describes the Ph.D. programme and the institution administering it i.e. the SESAME Group at the University of California at Berkeley. He outlines the important features of the programme in relation to admission requirements, course work, qualifying examination, and thesis research. This formal characterization is contrasted with his personal impression, and an attempt is made to evaluate the merits of his one‐year participation in the programme. In the final section, the possibilities and desirable modifications for an adequate adaptation of such a graduate programme in FR Germany or Europe are discussed. 相似文献
18.
大多数教育工作者都认为问题解决很重要,但是他们对什么是问题解决持有不同观点,在怎样教给学生问题解决的本领上也没有达成一致意见。各种不同观点主要集中于将问题解决视为教育目标、教育方法以及技能训练之间的差异问题上。其一,目标型问题解决不应只限于良构问题解决,而应该延伸到现实问题解决;其二,对初学者来说,方法型问题解决有其明显的局限性,给予这些学习者足够帮助,对于培养他们的问题解决能力具有重要作用;其三,技能型问题解决不应被看作是只在培养专长过程的初期才会出现,而应被视为在系统1模式与系统2模式中平行发展的一个过程。总结以上观点,综合学习设计模式完全可以用来促进此三种类型的问题解决,并其本回答了问题解决最好应该怎样教的问题。 相似文献
19.
Donald J. Treffinger Edwin C. Selby Scott G. Isaksen 《Learning and individual differences》2008,18(4):390
More than five decades of research and development have focused on making the Creative Problem Solving process and tools accessible across a wide range of ages and contexts. Recent evidence indicates that when individuals, in both school and corporate settings, understand their own style of problem solving, they are able to learn and apply process tools more effectively, and when teams appreciate the styles of their individual members, their problem solving efforts are enhanced. We summarize recent studies and report new data supporting the conclusion that individual style differences provide an important key to understanding the interaction of person, process, product, and press when managing change. 相似文献
20.
We present a simple card game whose payout depends on a player's strategy, as well as on chance. Solutions require the use of conditional analysis and the computation of expected values. 相似文献