元认知训练对不同认知方式小学生应用题解题能力的影响

本研究以小学五年级292名学生为对象,考察了三种思维训练方式(元认知内隐训练、元认知外显训练和一般思维策略训练)对三种不同认知方式学生(场独立型、场依存型和中间型)数学应用题解题能力的影响。结果发现：(1)思维策略的元认知外显训练和元认知内隐训练比一般思维策略训练能蜓有效地提高场依存型、中间型和场独立型三类学生的应用题解题能力：(2)元认知外显训练和内隐训练对于场独立型和中间型学生同等重要。但元认知外显训练更有助于场依存型学生应用题解题能力的提高。成为该类学生的优势圳练方式;(3)在小学五年级．场独立型学生的应用题解题能力明显优于场依存型学生的应用题解题能力。     

小学2～4年级儿童数学应用题表征策略差异的研究

本研究运用实验法和临床访谈法对某普通小学的123名2～4年级学生进行了数学应用题测验,以考察数学学优生和学差生在解决比较应用题时表征策略的差异。结果表明:(1)从2～4年级儿童解答一致和不一致应用题上看,学优生较多地使用问题模型策略对问题进行表征,学差生较多地使用直接转换策略对问题进行表征;(2)除学差女生的解题正确率低于学差男生的正确率,学差女生自我报告中直接转换策略的使用多于学差男生外,在其它方面,性别差异并不显著;(3)随着年级的升高,学优生在使用问题模型策略上越来越成熟,学差生并没有学会使用更加有效的问题模型表征策略,仍然停留在直接转换策略上,但他们在关于策略使用的认识上有所提高。     

小学2-4年级儿童数学应用题表征策略对其解决不规则问题影响的研究

本研究运用实验法和临床访谈法对某普通小学的123名2-4年级学生进行了不规则数学应用题测验,以考察数学学优生和学差生在解决这些应用题时表征策略的差异。结果表明：（1）从2-4年级儿童解答条件多余和条件不足应用题上看,学优生的成绩要好于学差生,口头报告分析显示学优生较多地使用问题模型策略对问题进行表征,而学差生较多使用直接转换策略对问题进行表征;（2）在三年级时,条件多余和条件不足应用题的解题正确率有所提高,但到四年级时,正确率却有所下降;（3）在解决条件多余和条件不足应用题中,性别差异不显著。     

初中生元认知阅读策略训练效应的实验研究

采用对比实验的方法,运用自编的元认知阅读策略训练教程对重点中学和普通中学的初二学生进行了训练。结果表明:(1)对初中生进行元认知阅读策略训练能有效地提高其阅读理解成绩;(2)对普通中学初中生进行元认知阅读策略训练的效果优于对重点中学初中生进行训练的效果。     

小学生表征应用题的元认知分析

运用四种不同形式的应用题对小学六年级学生进行了应用题表征的元认知监控测试,结果证明,优中差学生之间元认知监控能力有显着差异,加强元认知监控训练是提高学生理解和分析应用题能力的有效途径.     

小学低年级学生解答应用题思维模式的探索

研究目的学习心理学的研究目的,在于探索如何开发学生的智力,而思维是智力的核心。因此,对学生在学习活动中思维的研究是学习心理学的一个重要课题。本研究目的在深入分析学生解答应用题的思维活动,并由此探索低年级小学生解答应用题的不同思维模式,既为学习心理学的研究积累资料,又为改进算术应用题教学提供心理依据。学生解答应用题的三项指标是:(一)对应用题结构的认识;(二)对应用题数量关系的理解;(三)对应用题运算符号特定意义的理解,亦即说明采用解题方法的理由。本研究     

比较应用题的问题表征策略研究

采用2×2×4三因素混合实验设计,对不同年级学生解比较应用题过程中的各种指标进行分析,结果表明:学生解比较应用题时的问题表征策略存在显著的年级差异;数学成绩优生、差生存在不同的问题表征策略;题目呈现方式对学生的问题表征策略有显著影响。     

元认知在画图表征策略和小学生数学问题解决能力中的中介作用

该研究采用自然实验和问卷调查法,对268名小学五年级学生进行画图表征策略训练,在此基础上根据策略学习情况筛选出掌握了该策略的218名学生,以这些学生为被试,探讨元认知在画图表征策略和小学生数学问题解决能力中的作用。结果表明:(1)策略学习后,小学生的画图表征策略水平和数学问题解决成绩均显著高于策略学习前。(2)画图表征策略通过元认知这一中介变量对小学生数学问题解决能力有显著的促进作用。     

算术应用题的分类结果与数学成绩关系研究

以算术应用题为材料,探讨了不同年级、不同数学成绩学生对算术应用题的分类结果及其与数学成绩的关系。结果表明:不同年级学生对算术应用题分类结果差异显著;数学成绩优生与数学成绩差生对算术应用题分类结果存在差异。     

初二学生解几何应用题策略类型的研究

运用作品分析法对60份初二优秀生、中等生、差生的第一学期数学期中考试卷进行分析,发现初二不同学习水平学生解数学应用题时表现出不同的解题策略类型：优秀生的解题策略属于“俯瞰型”;中等生的解题策略属于“经验型”;差生的解题策略属于“盲试型”。     

Flexible strategy use: A characteristic of gifted problem solving

The aim of the study was to investigate the relationship between flexible strategic thinking and problem solving performance. In the first experiment, gifted, average, and poor problem solvers performed a number of tasks which were designed to provoke rigidity. The results indicated that the average and poor performance groups did not differ in the number of answers indicating response and perceptual set. On the other hand, creative and intelligent students showed fewer rigid answers than the other two groups. In the second experiment, gifted and average students were asked to think aloud while solving different problems with open and closed solution situations. The thinking aloud protocols were analyzed by classifying the statements into different strategy types. Gifted students used a variety of strategies when solving problems, as well as different strategies for different problem types. No such differences were observed with the average problem solvers. The results of both experiments demonstrated consistent evidence for the role of flexible strategic thinking in gifted problem solving, as well as less direct evidence of the importance of metacognitive knowledge.     

教师解决结构不良问题策略的发展研究

以成人期个体解决结构不良问题的有关认知加工理论为框架,运用多因素设计的方法,对９０名不同年龄的教师在解决教育和教学实践中常见的三种冲突情景下使用策略的情况进行了探讨。结果发现,教师在解决结构不良问题时,从总体上说不存在年龄差异,但在处理教师与教师、教师与家长等较为复杂的冲突问题时,随着年龄的增长,更趋向于使用元认知和认识论认知策略。该研究对教师培训中如何根据不同年龄特点来进行教育机智训练有一定的理论意义和应用价值。     

Creativity: A Knowledge Base,Metacognitive Skills,and Personality Factors

ABSTRACT Three aspects of creative thinking and production were examined: (a) metacognitive processing, (b) the knowledge base, and (c) personality variables. It was concluded that all three are essential elements, that they operate interactively, and that the results of creative thinking and problem solving are best assessed through evaluation of the products.     

元认知视角下的强迫症的特征、模型及干预

强迫症的元认知模型认为, 元认知是理解强迫症病理的关键。强迫症患者存在错误的元认知知识信念、消极的元认知体验及不恰当使用元认知策略等问题。强迫症的元认知疗法强调思维过程(如自我聚焦注意、对担忧不变的思维风格和威胁调节的注意策略等)的重要性, 而非思维的具体内容, 并在个体心理干预、团体心理干预等研究中显示出较好的疗效。未来研究应从认知神经科学等视角考查强迫症的记忆等元认知特征, 并进一步验证和修正强迫症的元认知模型。     

学习策略在思维风格与数学学业成就关系中的中介效应研究

以227名大学二年级理科生为被试,采用问卷调查法,探讨了学习策略在思维风格与数学学业成就关系中的作用。结果表明：（1）认知策略、元认知策略在等级制风格与数学学业成就关系中起完全中介的作用,而资源管理策略在等级制风格与数学学业成就间的中介效应不显著。（2）认知策略、元认知策略在整体性风格与数学学业成就关系中起部分中介的作用,而资源管理策略在整体性风格与数学学业成就间的中介效应不显著。（3）认知策略、元认知策略和资源管理策略在开放性风格与数学学业成就关系中起部分中介的作用。（4）元认知策略在等级制风格与数学学业成就间的中介作用以及在开放性风格与数学学业成就间的中介作用都是相对较大的。     

The effects of metacognitive training versus worked‐out examples on students' mathematical reasoning

Background: The present study is rooted in a cognitive‐metacognitive approach. The study examines two ways to structure group interaction: one is based on worked‐out examples (WE) and the other on metacognitive training (MT). Both methods were implemented in cooperative settings, and both guided students to focus on the problem's essential parts and on appropriate problem‐solving strategies. Aims: The aim of the present study is twofold: (a) to investigate the effects of metacognitive training versus worked‐out examples on students' mathematical reasoning and mathematical communication; and (b) to compare the long‐term effects of the two methods on students' mathematical achievement. Sample: The study was conducted in two academic years. Participants for the first year of the study were 122 eighth‐grade Israeli students who studied algebra in five heterogeneous classrooms with no tracking. In addition, problem‐solving behaviours of eight groups (N = 32) were videotaped and analysed. A year later, when these participants were ninth graders, they were re‐examined using the same test as the one administered in eighth grade. Method: Three measures were used to assess students' mathematical achievement: a pretest, an immediate post‐test, and a delayed post‐test. ANOVA was carried out on the post‐test scores with respect to the following criteria: verbal explanations, algebraic representations and algebraic solution. In addition, chi‐square and Mann‐Whitney procedures were used to analyse cooperative, cognitive, and metacognitive behaviours. Results: Within cooperative settings, students who were exposed to metacognitive training outperformed students who were exposed to worked‐out examples on both the immediate and delayed post‐tests. In particular, the differences between the two conditions were observed on students' ability to explain their mathematical reasoning during the discourse and in writing. Lower achievers gained more under the MT than under WE condition. Conclusions: The findings indicate that the kind of task and the way group interaction is structured are two important variables in implementing cooperative learning, each of which is likely to have different effects on mathematical communication and achievement outcomes.     

Conceptual Knowledge,Procedural Knowledge,and Metacognition in Routine and Nonroutine Problem Solving

When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of doubt, mediate interactions between procedural and conceptual knowledge. To test these hypotheses, in two studies (Ns = 64 and 138), university students solved fraction and decimal arithmetic problems while thinking aloud; verbal protocols and written work were coded for overt uses of conceptual knowledge and displays of doubt. Consistent with the hypotheses, use of conceptual knowledge during calculation was not significantly positively associated with accuracy, but was positively associated with displays of doubt, which were negatively associated with accuracy. In Study 1, participants also explained solutions to rational arithmetic problems; using conceptual knowledge in this context was positively correlated with calculation accuracy, but only among participants who did not use conceptual knowledge during calculation, suggesting that the correlation did not reflect “online” effects of using conceptual knowledge. In Study 2, participants also completed a nonroutine problem-solving task; displays of doubt on this task were positively associated with accuracy, suggesting that metacognitive processes play different roles when solving routine and nonroutine problems. We discuss implications of the results regarding interactions between procedural knowledge, conceptual knowledge, and metacognitive processes in math problem solving.     

Mindfulness and the attenuation of post-event processing in social phobia: an experimental investigation

The present experimental study examined the ability of metacognitive strategies to reduce the distress associated with post-event processing (PEP). Individuals with DSM-IV generalized social phobia (N = 57) were randomly allocated to receive brief training in mindfulness, distraction, or no training (control group). Next, they underwent an experimental PEP induction. Following the induction, they were instructed to apply the metacognitive strategy (mindfulness or distraction) they were taught or to continue thinking about the social event the way they typically would following such an event (control). Participants rated their distress on a visual analogue scale prior to the PEP induction, and then every minute for 5 min while applying the metacognitive strategy. They also rated their affect immediately after applying the metacognitive strategy. Results suggest that mindfulness reduces distress significantly over the post-event period and results in significantly more positive affect than when receiving no training. In contrast, distraction does not reduce distress over the post-event period performs comparable to receiving no training. The results of this experimental investigation suggest that mindfulness has the potential to reduce distress associated with PEP and provide further support for the clinical utility of mindfulness in the treatment of generalized social phobia.     

Mindfulness and the Attenuation of Post-Event Processing in Social Phobia: An Experimental Investigation

The present experimental study examined the ability of metacognitive strategies to reduce the distress associated with post-event processing (PEP). Individuals with DSM-IV generalized social phobia (N = 57) were randomly allocated to receive brief training in mindfulness, distraction, or no training (control group). Next, they underwent an experimental PEP induction. Following the induction, they were instructed to apply the metacognitive strategy (mindfulness or distraction) they were taught or to continue thinking about the social event the way they typically would following such an event (control). Participants rated their distress on a visual analogue scale prior to the PEP induction, and then every minute for 5 min while applying the metacognitive strategy. They also rated their affect immediately after applying the metacognitive strategy. Results suggest that mindfulness reduces distress significantly over the post-event period and results in significantly more positive affect than when receiving no training. In contrast, distraction does not reduce distress over the post-event period performs comparable to receiving no training. The results of this experimental investigation suggest that mindfulness has the potential to reduce distress associated with PEP and provide further support for the clinical utility of mindfulness in the treatment of generalized social phobia.     

The effects of a short-term social problem solving programme with children

This study examined the effectiveness of a short-term training programme for improving children's interpersonal cognitive problem solving ability and social status. Subjects were twenty primary school children aged seven-to eight-years old. Children in the training condition participated in a four week programme aimed at improving their ability to think of alternative strategies to problematic social situations and recognize the consequences of interpersonal actions. Children in the intervention condition showed significant improvements in their levels of alternative solutions thinking (p <0.005) and consequential thinking (p < 0.05) but not sociometric status (p > 0.05).