儿童早期测量能力的发展

测量能力是儿童早期数学认知能力的一个重要方面,其中直接比较和非标准测量能力作为儿童早期测量能力发展的主要形式,在一定程度上代表着儿童早期测量能力的发展。本研究对92名3岁儿童的测量能力进行了为期一年的追踪研究,结果发现:(1)在3~4岁期间,儿童直接比较测量能力和非标准测量能力均得到显著发展,但直接比较测量能力的水平提高得更快;(2)儿童直接比较测量能力的年龄主效应、任务主效应以及年龄和任务的交互效应显著;(3)儿童非标准测量能力的年龄主效应和任务主效应均达到显著水平,非标准测量单位应用能力的水平显著高于非标准测量单位形成能力的水平。     

儿童早期数学认知能力的结构及其特点

从北京市10所幼儿园中选取234名3、4岁的儿童为被试,采用个别测查的方法对儿童早期数学认知能力的结构及其特点进行了考察。经验证性因素分析发现：(1)儿童早期数学认知能力的结构模型是合理的,可接受的,具有较好的构想效度,具体讲,数、计算、测量、空间／几何和模式认知能力五个维度共同解释着儿童早期的数学认知能力;(2)不同年龄儿童早期数学认知能力的结构具有稳定性,但是结构模型并不完全一致,某些项目的解释率有所不同;(3)男、女儿童早期数学认知能力的结构模型具有一致性。     

3～6岁儿童空间非标准测量认知加工线索研究

本研究选取北京市3所幼儿园108名3~6岁儿童为被试,采用个别测查法对儿童进行非标准空间测量时所依据的认知加工线索进行研究,结果表明:1、3~6岁儿童在一维空间测量中从两个端点和端点之间的连续空间提取信息进行量的判断,当从端点和端点之间的连续空间提取的线索不一致时,多数儿童不能对其进行整合;2、3~6岁儿童二维空间测量主要遵循一维规则,并且一维规则适用于各种图形;3、儿童根据空间量中显著特征进行量的判断,儿童对作为判断依据的显著特征的选择受各维度对比度影响。     

早期儿童数学学习与执行功能的关系

执行功能是个体对复杂的认知活动的自我调节和以明确目标为导向的活动过程, 对早期儿童的数学学习起着重要的作用。早期儿童数学学习与执行功能呈显著正相关, 执行功能是儿童数学学习的重要认知加工机制。早期儿童执行功能和数学学习之间存在着相互预测的关系, 执行功能可以预测数学成绩, 数学成绩可以预测执行功能。高质量的早期数学教育可能具有发展儿童执行功能和数学能力的双重价值。未来研究可以明确执行功能的界定和统一测量工具, 提供更可靠的证据证明早期儿童执行功能与数学能力的因果关系, 以及进一步探究语言、数学以及执行功能三者之间的关系。     

儿童执行功能对数学能力的预测模型

使用数点数广度任务(C-span)、Stroop任务、威斯康星卡片分类任务(WCST)测查儿童的执行功能,用《小学儿童数学能力测查量表》(一年级)、《韦克斯勒儿童智力测量》分别测查儿童的数学能力和智力,对64名小学一年级儿童的执行功能(抑制、转换、刷新)和数学能力的关系进行了研究,相关分析和回归分析发现,数学能力与执行功能任务测量都有显著相关,抑制、转换和刷新都分别对数学能力存在显著回归效应;在此基础上,建立了执行功能及其对儿童数学能力的预测模型。结果表明,抑制控制、转换和刷新都能对数学能力产生直接影响,但抑制控制还通过转换和刷新对数学能力产生间接影响。说明儿童数学能力的认知差异,主要在于抑制控制能力的差异,而抑制控制的差异又导致转换和刷新能力表现的差异。     

动态测验对“数学学习困难”儿童的进一步甄别

本研究意在考查动态测验对数学学习困难儿童作进一步程度区分的有效性。以传统且常用的数学学习困难鉴别方式和标准选取30名四年级数学学习困难儿童为实验组,30名同年级智力匹配儿童为对照组,以Swanson认知加工测验(S-CPT)的4个子测验为测量工具对被试进行动态测验。结果发现：(1)在传统数学学习困难鉴别方式的基础上,动态测验的“潜在认知能力”指标可以对儿童数学成绩增加19%的预测力;(2)以“潜在认知能力”指标为依据能够将数学学习困难儿童进一步区分为“发展落后”和“发展缺陷”两个水平;(3)“发展落后”儿童一年内数学成绩发生了增长性变化,与正常儿童水平相当,而“发展缺陷”儿童的数学成绩没有变化。研究证实关注潜能指标的动态测验范式在快速、准确甄别数学学习困难儿童上具有独特效用。     

三～六年级小学生数学能力及认知结构的发展

本文是对三～六年级昆明地区和西双版纳地区的汉族与傣族儿童所作的数学能力和认知结构发展的实验研究.结果指出:昆明三、四年级儿童处于具体运算阶段,能掌握维度间的双重协调,准确地完成直观加减乘除运算.从五年级开始,儿童数学能力和认知结构出现了显着变化,儿童运用抽象推理进行维度间精致协调,开始向形式运算转化.其发展的过程是从量的增长逐步地过渡到质的变化.西双版纳地区的两种不同民族儿童数学能力发展未出现明显的差异,但与昆明同年级儿童相比,都低于昆明儿童.低年级差异尤其明显,高年级差异趋于缩小.说明早期教育对儿童数学能力和认知结构的发展有特殊意义.     

儿童逻辑关系认知发展的实验研究

通过追踪研究和横断研究相结合的方法研究７岁、９岁和１２岁儿童的逻辑关系认知能力的发展。结果表明：儿童的认知成绩随着年龄的增长而提高,不同项目间差异很大,而且不同实验项目有不同的发展速度。儿童间的个别差异也很大,这主要与儿童的家庭教育程度以及城市与郊区不同学校教育条件等因素有关,并且儿童的逻辑关系认知能力与儿童的学习能力,学习成绩以及儿童的智力水平有很高的相关。另外儿童的物理逻辑认知并非都按固定不变的顺序发展。     

学习LOGO程序设计语言与发展认知能力的关系

本研究探讨了初中学生学习LOGO 语言与发展认知能力的关系问题。结果表明:学习LOGO 语言与空间想象能力和数学成绩有显著相关。而有组织、有目的的教学在一定程度上促进了学生空间想象能力和作规划能力的发展。     

超常儿童数学能力的因素分析

培养与发展超常儿童的智力与能力是教育心理研究的一个重要课题。本文将在智力与能力发展理论的基础上,重点对组成超常儿童数学能力的因素进行结构分析。通过因素分析的方法抽出了五个主因素．即综合运算能力、逻辑思维能力、抽象概括能力、空间想象能力、灵活的形象思维能力,并对各能力特点作了进一步分析。本文的结果将为超常儿童智能发展的理论研究提供可资参照。     

Developing mechanisms of temperamental effortful control

Studies of temperament from early childhood to adulthood have demonstrated inverse relationships between negative affectivity and effortful control. Effortful control is also positively related to the development of conscience and appears as a protective factor in the development of behavior disorders. In this study, the development of attentional mechanisms underlying effortful control was investigated in 2- to 3-year-old children, as indexed by their performance in a) making anticipatory eye movements to ambiguous locations and b) resolving conflict between location and identity in a spatial conflict task. The ability to make anticipatory eye movements to ambiguous locations within a sequence was clearly present at 24 months. By 30 months, children could also successfully perform a spatial conflict task that introduced conflict between identity and location, and at that age, children's success on ambiguous anticipatory eye movements was related to lower interference from conflict in the spatial conflict task. Children's performance on the eye-movement task was correlated with performance and reaction time on spatial tasks, and both were related to aspects of effortful control and negative affect as measured in children's parent-reported temperament.     

3~5岁儿童理解和使用空间表征的特点

以96名3~5儿童为被试,采用自编的儿童空间表征实验任务,在语言表征、模型表征和图画表征三种空间表征形式上,考察了儿童理解和使用空间表征的发展特点。结果表明:(1)总体上,3~5岁儿童理解空间表征的发展水平均显著高于使用空间表征的发展水平。(2)3~5岁儿童理解和使用空间表征的发展表现出显著的年龄效应。(3)从不同的空间表证形式来看,3岁儿童理解语言表征的能力与理解模型表征的能力之间差异显著,4岁儿童使用语言表征的能力与使用模型表征的能力之间的差异、使用语言表征的能力与使用图画表征的能力之间的差异、以及使用模型表征的能力与使用图画表征的能力之间的差异都显著,其余形式的空间表征理解之间的差异或空间表征使用之间的差异在各年龄段中均不显著。     

The relation between spatial skill and early number knowledge: The role of the linear number line

[Correction Notice: An Erratum for this article was reported in Vol 48(5) of Developmental Psychology (see record 2012-11771-001). The grey boxes around the faces in Figure 2 are missing. The correct version is presented in the erratum.] Spatial skill is highly related to success in math and science (e.g., Casey, Nuttall, Pezaris, & Benbow, 1995). However, little work has investigated the cognitive pathways by which the relation between spatial skill and math achievement emerges. We hypothesized that spatial skill plays a crucial role in the development of numerical reasoning by helping children to create a spatially meaningful, powerful numerical representation-the linear number line. In turn, a strong linear number representation improves other aspects of numerical knowledge such as arithmetic estimation. We tested this hypothesis using 2 longitudinal data sets. First, we found that children's spatial skill (i.e., mental transformation ability) at the beginning of 1st and 2nd grades predicted improvement in linear number line knowledge over the course of the school year. Second, we found that children's spatial skill at age 5 years predicted their performance on an approximate symbolic calculation task at age 8 and that this relation was mediated by children's linear number line knowledge at age 6. The results are consistent with the hypothesis that spatial skill can improve children's development of numerical knowledge by helping them to acquire a linear spatial representation of numbers. (PsycINFO Database Record (c) 2012 APA, all rights reserved).     

"The relation between spatial skill and early number knowledge: The role of the linear number line": Correction to Gunderson et al. (2012)

Reports an error in "The Relation Between Spatial Skill and Early Number Knowledge: The Role of the Linear Number Line" by Elizabeth A. Gunderson, Gerardo Ramirez, Sian L. Beilock and Susan C. Levine (Developmental Psychology, Advanced Online Publication, Mar 5, 2012, np). The grey boxes around the faces in Figure 2 are missing. The correct version is presented in the erratum. (The following abstract of the original article appeared in record 2012-05400-001.) Spatial skill is highly related to success in math and science (e.g., Casey, Nuttall, Pezaris, & Benbow, 1995). However, little work has investigated the cognitive pathways by which the relation between spatial skill and math achievement emerges. We hypothesized that spatial skill plays a crucial role in the development of numerical reasoning by helping children to create a spatially meaningful, powerful numerical representation-the linear number line. In turn, a strong linear number representation improves other aspects of numerical knowledge such as arithmetic estimation. We tested this hypothesis using 2 longitudinal data sets. First, we found that children's spatial skill (i.e., mental transformation ability) at the beginning of 1st and 2nd grades predicted improvement in linear number line knowledge over the course of the school year. Second, we found that children's spatial skill at age 5 years predicted their performance on an approximate symbolic calculation task at age 8 and that this relation was mediated by children's linear number line knowledge at age 6. The results are consistent with the hypothesis that spatial skill can improve children's development of numerical knowledge by helping them to acquire a linear spatial representation of numbers. (PsycINFO Database Record (c) 2012 APA, all rights reserved).     

小学儿童在不同刺激材料中的左右空间方位传递性推理能力及策略分析

采用定性和定量相结合的研究方法,从图形刺激材料和文字刺激材料入手,探查了7岁、9岁、11岁儿童的一维空间方位传递性推理能力的发展水平及其认知策略。主要研究结果表明:(1)小学儿童的一维空间方位传递性推理能力从7岁到9岁,从9岁到11岁都有显著性提高。7岁儿童处于能力的初步形成期,9岁儿童是能力的提高和发展期,11岁儿童已基本具有了一维空间方位单模型条件下的传递性推理能力;(2)小学儿童在图形刺激材料条件下的推理成绩显著优于文字刺激材料条件下的推理成绩;(3)前提数量的增加没有对小学儿童的推理造成显著性影响;(4)随着儿童年龄的增长,模型建构策略的使用者越来越多,但在图形刺激材料和文字刺激材料下,儿童解决问题的策略有所不同。在图形刺激材料下,大部分7岁和9岁的儿童采用知觉策略,11岁儿童中只有少部分人使用这一策略。在文字刺激材料下,模型建构策略是儿童推理的主要策略。少部分7岁儿童使用模型建构策略,大部分9岁儿童和绝大部分11岁儿童使用模型建构策略来解决问题。     

Spatial Strategy Selection: Interesting Incremental Information

The aim of this article is to show that individuals differ in the way they solve spatial tasks of all kinds, and both research on and measurement of spatial ability could profit from an integration of strategy aspects. We first review evidence for both intra- and interindividual strategy differences (including gender differences) in 3 domains of spatial cognition: spatial ability tests, mental rotation, and environmental orientation and navigation. Then, we present additional evidence from 2 of our own studies. Finally, we discuss what a focus on strategy aspects could add to basic research and to spatial ability testing, and we give some concrete suggestions for integrating strategy assessment into standard spatial tests.     

“儿童认知发展水平诊断工具”动态测验的初步编制与应用

本研究旨在将“儿童认知发展水平诊断工具” (Inventory of Piaget’s Developmental Task, IPDT)中的守恒与关系领域分测验改编成动态测验, 并应用于不同程度学业成绩儿童当中以探查其认知发展的潜在水平。在实验研究基础上结合以往动态测验的编制技术, 把动态施测过程分为“前测—干预—迁移—后测”4个阶段, 分别确定各阶段的测题并构建了6等级提示系统。在中等学业成绩儿童(n = 33)和低学业成绩儿童(n = 35)中的应用发现, 动态测验测得的能力获得变量对儿童的学业成绩具有重要的预测作用, 证实了所改编测验的有效性; 动态测验情境下中、低学业成绩儿童的潜在认知水平基本相同, 所改编的动态测验有助于发掘儿童的潜在认知发展水平。     

Phonological Working Memory and Spoken Language Development in Young Children

This study investigated the relationship between phonological working memory and spoken language development in a large unselected sample of 4- and 5-year old children. Assessments were made of the language produced by the children on the Bus Story (Renfrew, 1969), a standard test of continuous speech. In this test, children listen to a story, which they then recount with the aid of visual clues. The amount of information recalled and the average length of the five longest utterances are taken as indices of children's expressive language abilities. Phonological working memory skills were indexed by memory span and the ability to repeat non-words. The ability to repeat non-words made a significant contribution to the variance in the children's speech independently of age, vocabulary knowledge, and nonverbal cognitive skills. The possible mechanisms by which skills assessed by phonological memory tasks may be linked to the development of speech production abilities are considered.     

A computerized task for investigating the relation between attentional and emotional processes in children

The authors' goals in this article are to (a) describe a new task for the assessment of shifting attention between different affective stimuli, The Children's Attentional Shifting Task (CAST); (b) present the theoretical background for the development of the CAST; and (c) report initial information on the developmental appropriateness and validity of the CAST. The task was tested using a sample of kindergarten and 1st-grade children, 50% of whom had social and conduct problems. Preliminary analyses showed that the CAST was not subject to problems arising from fatigue or loss of interest. Moreover, children's ability to shift attention away from angry facial expressions was positively related to teachers' ratings of their ability to shift attention and parents' reports of children's emotion regulation. Shifting away from negative affect also predicted children's academic performance as reported by teachers.