数学焦虑影响大学生/儿童估算策略运用的对比研究

选取66名大学生和40名小学四年级儿童,运用选择/无选法研究范式,采用自编乘法估算材料考察了数学焦虑对成人和四年级儿童算术策略运用的不同影响.研究结果显示:(1)数学焦虑仅影响成人在自由选择条件中策略选择的正确率.(2)数学焦虑影响儿童的策略分布、策略执行的正确率及最佳选择条件中策略选择的正确率.(3)成人和儿童策略选择的适应性(以有选条件下的策略使用正确率为指标)均受到数学焦虑的影响,低数学焦虑者的适应性明显更好.文章讨论了数学焦虑影响成人与儿童算术策略运用的不同潜在机制.     

小学一～三年级儿童加减法策略选择的发展特点研究

随机选取90名小学一～三年级的儿童为被试,采用实验法和访谈法对儿童解决加减法算术题的策略发展特点进行了探讨。结果发现:1儿童能运用多种策略解决加减法算术题,在解决两个数的算术题时用到了13种策略,在解决三个数的算术题时用到了8种策略。2儿童在解决同一道题时大多能同时运用两种或两种以上的策略。3随着年龄的增长,儿童使用策略的总目呈简约化发展的趋势。4在解决两个数的算术题时,不同年级的儿童在使用出声策略、拆十策略、手势策略、逆算策略、数数策略的次数上差异显著,随着年级的增长其使用频率逐渐降低。5儿童在解决三个数的算术题时,各年级儿童使用出声策略、手势策略、对位策略差异显著,随着年级的增长其使用频率逐渐增高。     

不同数学焦虑成人的算术策略运用差异：ERP研究

采用事件相关电位(ERP)技术和选择/无选法范式, 在两位数加法心算和估算中, 探索高、低数学焦虑个体的算术计算策略运用及其内在机制。行为结果：数学焦虑效应在策略运用的反应时和正确率指标上的差异都不显著; 而脑电结果：高数学焦虑个体的N400波幅显著高于低数学焦虑个体; 选择条件中, 估算与心算的数学焦虑效应的N100波幅差异; 无选条件中, 高低数学焦虑个体N1-P2复合波的波幅和潜伏期差异显著。数学焦虑效应在策略编码(0~250 ms)和策略选择/执行阶段(250 ms之后)存在差异。     

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。     

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。     

数学困难儿童估算策略运用的中央执行负荷效应

前人研究表明中央执行影响个体的算术策略运用,但罕见考察其对数学困难儿童估算策略运用的影响。本研究运用选择/无选法范式,通过操纵不同长度数字串的排序记忆任务作为不同水平中央执行负荷,考察其对数困儿童估算策略运用的限制性作用。74名六年级儿童(数困儿童36名)参加了本研究。结果发现:(1)数困组儿童在无、低、高三种负荷条件下的策略执行正确率均显著低于正常组,反应时上只在无负荷和低负荷条件下显著差于正常组;(2)数困组儿童在三种负荷条件下的策略选择正确率和反应时上均显著差于正常组;(3)两组儿童的策略选择适应性都受到负荷的影响,负荷水平越高,两组儿童的策略选择适应性越差,且数困组儿童显著差于正常组。这表明中央执行负荷对数困儿童和正常儿童的策略运用会产生差异性影响。上述发现为深入理解中央执行功能作用于数困儿童的较差策略运用的潜在机制具有重要的理论和实践意义。     

小学儿童数学焦虑的潜在类别转变及其父母教育卷入效应：3年纵向考察

研究采用潜在转变分析考察小学儿童数学焦虑的类别转变以及父母教育卷入在小学儿童数学焦虑类别转变中的作用。以1720名三、四年级儿童为被试, 对其数学焦虑和感知到的父母教育卷入进行3次追踪, 每次间隔1年。结果表明：(1)小学儿童数学焦虑存在低数学焦虑组、高数学评估焦虑组和高数学获得焦虑组3种不同类别; (2)随时间的推移, 高数学评估焦虑组倾向于向低数学焦虑组转变, 高数学获得焦虑组倾向于向高数学评估焦虑组转变, 而低数学焦虑组稳定性较强; (3)父亲/母亲教育卷入对儿童数学焦虑类别转变的预测作用, 因不同的数学焦虑类别而异。上述发现为深入理解数学焦虑的形成机制以及干预措施的制定提供了重要参考。     

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。     

小学生视觉-空间表征类型和数学问题解决的研究

本研究考察并比较了四至六年级儿童的视觉－空间表征策略、数学问题解决和空间视觉化能力。结果表明：五、六年级儿童的解题正确率、使用图式表征策略的程度显著高于四年级儿童;使用图像表征策略的程度各年级无显著差异。将数学问题分成三个难度等级,发现年级差异主要表现在难度等级1的题目上。另外,六年级儿童的空间视觉化能力显著高于四年级儿童。     

图形推理任务中儿童策略获得的微观发展过程

运用微观发生学设计,对30名6岁儿童在矩阵填充任务中的策略获得过程进行了研究。结果发现:从策略获得的来源看,实验处理(教育干预)是图形推理策略获得的重要来源;从策略获得的个体差异看,儿童遵循的是学习领会或半学习领会的策略获得发展方式;从策略获得的路径看,快速组儿童在达到策略获得标准后正确率不高,而标准组和延迟组则能保持较高的正确率;从策略获得的速率看,在实验前3个阶段正确率有快速的变化,而到后期则保持正确率稳定不变。     

Distinguishing between cognitive and somatic trait and state anxiety in children

The study was conducted to develop self-report measures of cognitive and somatic trait and state anxiety for children and to evaluate the utility of distinguishing between cognitive and somatic anxiety. Sixty-seven fourth grade children anticipated and then performed a mathematics task either in a high- or low-stress condition. While the children anticipated performing the task, measures of seven cognitive behaviors were obtained by means of both a think aloud procedure and a questionnaire. The results of the study indicated that reliable trait and state measures of cognitive and somatic anxiety were successfully developed. Further, the trait measures of cognitive and somatic anxiety were found to be relatively impervious to induced anxiety states. As expected, cognitive trait anxiety but not somatic trait or state anxiety was found to be related to task performance. High cognitive state and/or trait anxiety was found to be associated with more preoccupation and performance denigration as well as taking less of an analytic attitude toward the situation. Somatic trait and state anxiety were found to be associated with preoccupation. In general, the results support the construct validity of the measures developed and the utility of distinguishing between cognitive and somatic anxiety in children.     

Response selection strategies and realism of confidence judgments

Two studies were conducted to examine how response selection strategy is related to confidence ratings and to performance on general knowledge questions. In both studies subjects were asked to answer 80 general knowledge questions and to rate their confidence in the correctness of the answer selected. A pilot study, in which subjects thought aloud while answering general knowledge questions, was carried out to identify different response selection strategies. In the first study, 40 subjects were asked to indicate which of four strategies (immediate recognition, inference, intuition, or guessing) they used for selecting an answer. In Study 2, think aloud reports from 20 subjects were coded into the same four strategies. The distribution of strategies differed between the studies, but there were very similar relations among strategy, confidence, and correctness of answer in the two studies. Response selection strategy was related to correctness of answer when confidence was partialed out. More specifically, immediate recognition was associated with higher proportion correct than with the other strategies. It was also found that ratings of how difficult the knowledge questions were to fellow students of the subjects were on a much more realistic level than the confidence ratings were. It is concluded that people could improve their confidence judgments by taking into account (a) how difficult a question is to other people, and (b) the response selection strategy used for answering the question.     

Spontaneous gestures influence strategy choices in problem solving

Do gestures merely reflect problem-solving processes, or do they play a functional role in problem solving? We hypothesized that gestures highlight and structure perceptual-motor information, and thereby make such information more likely to be used in problem solving. Participants in two experiments solved problems requiring the prediction of gear movement, either with gesture allowed or with gesture prohibited. Such problems can be correctly solved using either a perceptual-motor strategy (simulation of gear movements) or an abstract strategy (the parity strategy). Participants in the gesture-allowed condition were more likely to use perceptual-motor strategies than were participants in the gesture-prohibited condition. Gesture promoted use of perceptual-motor strategies both for participants who talked aloud while solving the problems (Experiment 1) and for participants who solved the problems silently (Experiment 2). Thus, spontaneous gestures influence strategy choices in problem solving.     

不同任务类型条件下4～6年级儿童比例推理策略的表现

随机选取小学4~6年级被试86名,从辅助策略、比例推理策略的策略选择和策略效用三方面,通过五种类型的天平任务考察儿童比例推理策略的表现。结果表明:(1)儿童最常使用手指动作辅助加工基本数量信息。辅助策略的使用率随年龄增长而减少,五年级开始使用出声思维,反映出元认知能力的发展。(2)在正式学习比例知识之前,各年级儿童都能使用两种以上策略,也能根据任务难度自发产生新策略,具备策略选择的多样性和适应性。其中,三个年级均能使用定性比例推理策略(双维策略,IIIA策略,补偿策略),表明儿童初步认识了距离和重量两个维度的共变关系。此外,六年级儿童能使用"运货车策略"将冲突问题灵活地化解为简单问题。(3)儿童的错误策略表现为:在冲突任务中盲目使用补偿策略、简单策略或加法策略。(4)分层回归分析表明,在控制年龄后,儿童的一般推理能力越高,其对重量策略的依赖性越低,且可能更容易发掘距离维度的意义,其使用运货车策略的频次更多。此外,一般推理能力对解决冲突类天平任务的正确次数有正向预测作用。     

Typing versus thinking aloud when reading: Implications for computer-based assessment and training tools

The goal of this study was to assess the impact of modality of production of think-aloud protocols on reading strategies. Readers in two studies spoke or typed protocols for narrative or science texts and completed comprehension tests for each text. Human judges identified the presence of paraphrasing, bridging inferences, and elaborating within the protocols. Reading comprehension skill was assessed with the Nelson-Denny test. With respect to narrative texts, paraphrasing and bridging were less frequent when readers were typing than when they were thinking aloud. With respect to science texts, less-skilled readers made bridging inferences more frequently when typing than when speaking. Conversely, skilled readers generated more paraphrases than bridges when typing thoughts but not when speaking. These results have implications for computer-based tools for reading assessment and intervention.     

Differential levels of speech and manual dysfluency in adults who stutter during simultaneous drawing and speaking tasks

We examined the disruptive effects of stuttering on manual performance during simultaneous speaking and drawing tasks. Fifteen stuttering and fifteen non-stuttering participants drew continuous circles with a pen on a digitizer tablet under three conditions: silent (i.e., neither reading nor speaking), reading aloud, and choral reading (i.e., reading aloud in unison with another reader). We counted the frequency of stuttering events in the speaking tasks and measured pen stroke duration and pen stroke dysfluency (normalized jerk) in all three tasks. The control group was stutter-free and did not increase manual dysfluency in any condition. In the silent condition, the stuttering group performed pen movements without evidence of dysfluency, similar to the control group. However, in the reading aloud condition, the stuttering group stuttered on 12% of the syllables and showed increased manual dysfluency. In the choral reading condition stuttering was virtually eliminated (reduced by 97%), but manual dysfluency was reduced by only 47% relative to the reading aloud condition. Trials where more stuttered events were generally positively correlated with higher manual dysfluency. The results are consistent with a model in which episodes of stuttering and motor dysfluency are related to neural interconnectivity between manual and speech processes.     

Children learn when their teacher's gestures and speech differ

Teachers gesture when they teach, and those gestures do not always convey the same information as their speech. Gesture thus offers learners a second message. To determine whether learners take advantage of this offer, we gave 160 children in the third and fourth grades instruction in mathematical equivalence. Children were taught either one or two problem-solving strategies in speech accompanied by no gesture, gesture conveying the same strategy, or gesture conveying a different strategy. The children were likely to profit from instruction with gesture, but only when it conveyed a different strategy than speech did. Moreover, two strategies were effective in promoting learning only when the second strategy was taught in gesture, not speech. Gesture thus has an active hand in learning.     

Cultural diversification of communicative gestures through early childhood: A comparison of children in English-, German-, and Chinese- speaking families

Previous literature has demonstrated cultural differences in young children’s use of communicative gestures, but the results were mixed depending on which gestures were measured and what age of children were involved. This study included variety of different types of gestures and examined whether children’s use of communicative gestures varies by their cultural backgrounds and ages. 714 parents of children (6–36 months old) from U.S.A. English-, German-, and Taiwan Chinese- speaking countries completed the questionnaire on their children’s use of each gesture described in the survey. We used logistic regressions to examine the effect of children’s culture and age, and the interaction effect (culture × age). Children were more likely to use all gestures except reaching, showing, and smacking lips for “yum, yum” as their age increases. In addition, there were gestures that showed significantly different probabilities across children’s cultural backgrounds. A significant interaction effect was shown for five gestures: reaching, showing, pointing, arms up to be picked up, and “quiet” gesture. Results suggest that the influence of culture on young children’s communication emerges from infancy.