An expert–novice comparison of feature choice

Perceptual experts have learned to rapidly and accurately perceive the structural regularities that define categories and identities within a domain. They extract important features and their relations more efficiently than novices. We used fingerprint examination to investigate expert–novice differences in feature choice. On each fingerprint within our set, experts and novices selected one feature they thought was most useful for distinguishing a particular print and one feature they thought was least useful. We found that experts and novices often differed in the features they chose, and experts tended to agree more with each other. However, any such expert–novice difference appeared to depend on the image at hand typically emerging when salient or more conspicuous features of a fingerprint were unclear. We suggest that perceptual training ought to direct attention to useful features with the understanding that what is useful may change depending on the clarity of the stimuli.     

Number Use at Home by Children and Their Parents and Its Relationship to Early Mathematical Performance

The purpose of this research was to measure the frequency and variety of number activities occurring in the homes of pre-school and kindergarten children and to determine if there was a relationship between those activities and the children's mathematical performance. In two studies, parents were interviewed over the telephone and asked how often their child or they and their child had engaged in each of 33 number-related activities over the last week. Both studies found considerable variability in the frequency and type of number activities that children participated in at home. There was a positive correlation between the frequency of number activities that parents reported for their children and parental participation in the same activities. In addition, in study 2, parental reports of children's number activities at home were predictive of children's performance on a standardized test of early mathematical ability.     

Logic Without Contraction as Based on Inclusion and Unrestricted Abstraction

On the one hand, the absence of contraction is a safeguard against the logical (property theoretic) paradoxes; but on the other hand, it also disables inductive and recursive definitions, in its most basic form the definition of the series of natural numbers, for instance. The reason for this is simply that the effectiveness of a recursion clause depends on its being available after application, something that is usually assured by contraction. This paper presents a way of overcoming this problem within the framework of a logic based on inclusion and unrestricted abstraction, without any form of extensionality. This revised version was published online in June 2006 with corrections to the Cover Date.     

马王堆帛书《系辞》研究

本文主要研究马王堆帛书《系辞》中几处重要的异文。今本《系辞》中的“象”,帛书作“马”。“马”义同于“数”。《庄子》中说“天地一指也．万物一马也。”此处的“马”。与帛书《系辞》中的“马”同义。今本《系辞》中的“太极”,帛书作“大恒”。恒、常同义,《仪礼》中说“假尔大筮有常。”这个“常”即帛书《系辞》中的“大恒”。亦即《吕氏春秋·大乐》中的“天常”。今本《系辞》云“显诸仁,藏诸用”,帛书作“圣者仁,壮者勇”。儒家学说重视“勇”,《论语·宪问》即有云“仁者必有勇。”帛书《系辞》云“天地之大思日生。”“思”读为“司”,今本作“天地之大德日生。”帛书《系辞》又云“夫易古物定命”,其义同于“乾知大始,坤作成物”。今本《系辞》云“圣人以此洗心”．帛书作“圣人以此佚心”,佚、乐同义,马王堆帛书《五行》云“不安则不乐。不乐则无德。”     

A Bayesian predictive analysis of test scores

In the classical test theory, a high-reliability test always leads to a precise measurement. However, when it comes to the prediction of test scores, it is not necessarily so. Based on a Bayesian statistical approach, we predicted the distributions of test scores for a new subject, a new test, and a new subject taking a new test. Under some reasonable conditions, the predicted means, variances, and covariances of predicted scores were obtained and investigated. We found that high test reliability did not necessarily lead to small variances or covariances. For a new subject, higher test reliability led to larger predicted variances and covariances, because high test reliability enabled a more accurate prediction of test score variances. Regarding a new subject taking a new test, in this study, higher test reliability led to a large variance when the sample size was smaller than half the number of tests. The classical test theory is reanalyzed from the viewpoint of predictions and some suggestions are made.     

3~6岁儿童数感发展的研究

从上海两所中等水平幼儿园以年龄班分层随机抽取180名3~6岁儿童为被试,采用个别测查法考察其数感发展状况。结果表明:(1)3~6岁儿童的数感发展存在显著年龄差异,无性别差异;(2)顺数、实物比较和数符号辨认是其表现较好的三项技能,而倒数和序数却表现较差;(3)数感各组成部分发展不同步,倒数,序数和数符号在中班到大班期间发展迅速,而顺数,基数概念,加减理解却在小班到中班期间发展较快。     

不同维度特征的共存对归类不确定性特征推理的影响

探讨在归类不确定的情境下,目标特征和预测特征的共存对特征推理的影响。共包括了三个实验,其中实验1、2考察了非靶类别中目标特征和预测特征的共存性对特征推理的影响,实验3考察了靶类别中目标特征和预测特征的共存性对特征推理的影响。三个实验五个分实验的结果一致支持了修正后的Bayesian规则,排除了“单类说”、“综合条件概率模型”的假设,并进一步修正了Bayesian规则为：     

归纳推理的抽样理论

作者提出归纳推理的抽样理论,认为归纳推理实质是根据与归纳特征有关的抽样样本情况来推断结论类别具有归纳特征的可能性,其中的抽样可分为类别抽样和特征抽样两种。以大学生为被试的两个实验结果一致支持抽样理论而不是别的归纳推理理论。对于归纳推理的主要现象,抽样理论比其它的相似性解释具有更大的解释范围,特别是能够解释其它理论严格不能解释的归纳推理非对称性现象     

特征捆绑机制的理论模型

捆绑问题被认为是认知科学和神经科学的中心问题之一,对心理过程的认知神经机制研究起到了重要推动作用。特征捆绑机制研究有认知和神经科学两大范式。特征整合论在认知理论中最具代表性,形式理论修正了其在错觉性结合测量等方面的不足,双阶段理论突出了前注意捆绑。时间同步性理论是影响最大的捆绑理论,神经网络模型为捆绑机制提出了更具体的结构模型。两大范式的整合及由低级认知过程向高级心理过程的深化可能是今后捆绑机制研究的重点     

核心知识系统及其对相关研究的启示

核心知识系统出现于人类个体发展和种系发展的早期,在人类复杂认知能力的发生发展中起着建构模块的作用。该文以表征物体和数量关系的两类核心知识系统的性质及二者在儿童的“数”概念形成和成人的数学思维中所起的作用为例,综述了以灵长类动物、婴儿、儿童和成人为被试的研究证据,并进而提出了核心知识系统给相关研究带来的若干启示。