序数表征及其脑机制

人类天生就具有一些初级的数概念。研究表明,顶内沟是基数表征的脑基础,这一区域受损或发展受阻将导致计算失能等与数有关的认知障碍。尽管序数与基数存在相似的行为效应,但与序数相联系的皮层通路不同于基数,序数表征主要激活前额皮层与颞叶皮层区域。序数是否也存在符号效应以及跨文化差异等问题有待进一步研究     

Processing of Syllables in Production and Recognition Tasks

Empirical evidence for a functional role of syllables in visual word processing is abundant, however it remains rather heterogeneous. The present study aims to further specify the role of syllables and the cognitive accessibility of syllabic information in word processing. The first experiment compared performance across naming and lexical decision tasks by manipulating the number of syllables in words and non-words. Results showed a syllable number effect in both the naming task and the lexical decision task. The second experiment introduced a stimulus set consisting of isolated syllabic and non-syllabic trigrams. Syllable frequency was manipulated in a naming and in a decision task requiring participants to decide on the syllabic status of letter strings. Results showed faster responses for syllables than for non-syllables in both tasks. Syllable frequency effects were observed in the decision task. In summary, the results from these manipulations of different types of syllable information confirm an important role of syllabic units in both recognition and production.     

特征类型在组合概念范畴效应中的作用

组合概念范畴效应是指,人们解释不同范畴组合概念的策略存在差异。本研究通过特征列举实验和建构路径模型,检验概念的特征类型在组合概念范畴效应中的作用。特征列举实验的结果表明,生物的实体特征比率高于人造物,而人造物的情境特征比率高于生物。路径分析的结果表明：⑴修饰词的实体特征比率显著影响属性解释比率,修饰词具有较多实体特征的组合概念得到属性解释的比率较高;⑵主名词的情境特征比率对关系解释比率的影响不显著;⑶将特征类型引入路径模型后,范畴对解释策略的影响依然显著。因此,范畴间的特征类型差异会影响组合概念范畴效应,但还存在其他影响因素有待进一步研究。     

数量化维度特征搜索的影响因素探索

有关数量化维度特征搜索的研究表明 ,目标搜索斜率 (反应时间对呈现项目数量函数的斜率 )是由目标与干扰子之间的差异决定的 ,然而以往研究中其差异的值取决于具体的实验条件。根据韦伯定律 ,笔者推测 ,目标搜索斜率应由目标与干扰子之间的相对差异 (C)决定 ,C为目标值 (T)与干扰子值 (D)的差值与该干扰子值的比值。当C值对应相等时 ,不同几何形状刺激的目标搜索斜率应无差异。为此笔者分别采用圆 (实验一 )和三角形 (实验二 )进行实验研究。实验结果支持了上述假设 ,并发现目标大于干扰子时的目标搜索斜率对C值的函数是单调递减函数     

整体-局部范式下的负启动效应

在通常的负启动范式基础上 ,以小数字构成的大数字 ,即以同时具有整体特征和局部特征的复合数字为实验材料 ,采用数字命名任务 ,将刺激画面中复合数字的数目和注意指向作为变量进行实验。大学生充任被试。结果发现 ,在单个复合数字条件下对同一客体的非注意指向的特征进行忽略重复 ,注意整体时出现负启动 ,而注意局部时不出现负启动 ;在两个复合数字条件下对启动刺激中充当干扰项的复合数字进行忽略重复 ,则注意整体与注意局部都出现了负启动。该研究表明 ,在不同注意指向时 ,整体 -局部范式下的负启动效应具有知觉组织的层次性 ,并显示出客体内选择和客体间选择对负启动的不同影响。     

双任务间隔对特征搜索方式的影响

采用RSVP序列,以两个实验探讨了双任务间隔对特征搜索方式的影响。要求试被首先辨认数字序列中包含的字母(任务一,T1),随后完成特征搜索任务(任务二,T2)。在实验一中,T2是检测在同时呈现的多个椭圆中是否有方向不一致的目标出现;在实验二中,T2是检测同时呈现的多个灰色圆点中是否有红色圆点出现。结果发现:随T1-T2间距缩短,T2的正确率显著下降;T2所含刺激数目的增加并未引起其正确率下降,即任务转换只影响特征搜索的绩效而未改变搜索方式,特征搜索仍以并行方式进行。根据动态控制理论,由于在本研究范式中两个任务之间存在任务转换过程,特征搜索应当为系列搜索。可见上述结果与动态控制理论不符。     

表面特征和结构特征在故事类比通达中的作用

在基于相似性的迁移研究中,表面特征和结构特征在类比提取过程中的作用是研究者关注的中心课题。自20世纪90年代以来,不同的研究者在故事类比通达研究的基础上,得出有关表面特征和结构特征的作用的不同结论。文章以表面特征和结构特征的概念为切入点,主要介绍表面特征和结构特征在故事类比通达中的作用的理论分歧与类比通达模型,指出当前的研究中存在的问题,并提出新的类比通达研究的框架。     

A Dissociation between Symbolic Number Knowledge and Analogue Magnitude Information

Semantic understanding of numbers and related concepts can be dissociated from rote knowledge of arithmetic facts. However, distinctions among different kinds of semantic representations related to numbers have not been fully explored. Working with numbers and arithmetic requires representing semantic information that is both analogue (e.g., the approximate magnitude of a number) and symbolic (e.g., what / means). In this article, the authors describe a patient (MC) who exhibits a dissociation between tasks that require symbolic number knowledge (e.g., knowledge of arithmetic symbols including numbers, knowledge of concepts related to numbers such as rounding) and tasks that require an analogue magnitude representation (e.g., comparing size or frequency). MC is impaired on a variety of tasks that require symbolic number knowledge, but her ability to represent and process analogue magnitude information is intact. Her deficit in symbolic number knowledge extends to a variety of concepts related to numbers (e.g., decimal points, Roman numerals, what a quartet is) but not to any other semantic categories that we have tested. These findings suggest that symbolic number knowledge is a functionally independent component of the number processing system, that it is category specific, and that it is anatomically and functionally distinct from magnitude representations.     

Erkenntnistheorie der Zahldefinition und philosophische Grundlegung der Arithmetik unter Bezugnahme auf einen Vergleich von Gottlob Freges Logizismus und platonischer Philosophie (Syrian, Theon von Smyrna u.a.)

The epistomology of the definition of number and the philosophical foundation of arithmetic based on a comparison between Gottlob Frege's logicism and Platonic philosophy (Syrianus, Theo Smyrnaeus, and others). The intention of this article is to provide arithmetic with a logically and methodologically valid definition of number for construing a consistent philosophical foundation of arithmetic. The – surely astonishing – main thesis is that instead of the modern and contemporary attempts, especially in Gottlob Frege's Foundations of Arithmetic, such a definition is found in the arithmetic in Euclid's Elements. To draw this conclusion a profound reflection on the role of epistemology for the foundation of mathematics, especially for the method of definition of number, is indispensable; a reflection not to be found in the contemporary debate (the predominate ‘pragmaticformalism’ in current mathematics just shirks from trying to solve the epistemological problems raised by the debate between logicism, intuitionism, and formalism). Frege's definition of number, ‘The number of the concept F is the extension of the concept ‘numerically equal to the concept F”, which is still substantial for contemporary mathematics, does not fulfil the requirements of logical and methodological correctness because the definiens in a double way (in the concepts ‘extension of a concept’ and ‘numerically equal’) implicitly presupposes the definiendum, i.e. number itself. Number itself, on the contrary, is defined adequately by Euclid as ‘multitude composed of units’, a definition which is even, though never mentioned, an implicit presupposition of the modern concept ofset. But Frege rejects this definition and construes his own - for epistemological reasons: Frege's definition exactly fits the needs of modern epistemology, namely that for to know something like the number of a concept one must become conscious of a multitude of acts of producing units of ‘given’ representations under the condition of a 1:1 relationship to obtain between the acts of counting and the counted ‘objects’. According to this view, which has existed at least since the Renaissance stoicism and is maintained not only by Frege but also by Descartes, Kant, Husserl, Dummett, and others, there is no such thing as a number of pure units itself because the intellect or pure reason, by itself empty, must become conscious of different units of representation in order to know a multitude, a condition not fulfilled by Euclid's conception. As this is Frege's main reason to reject Euclid's definition of number (others are discussed in detail), the paper shows that the epistemological reflection in Neoplatonic mathematical philosophy, which agrees with Euclid's definition of number, provides a consistent basement for it. Therefore it is not progress in the history of science which hasled to the a poretic contemporary state of affairs but an arbitrary change of epistemology in early modern times, which is of great influence even today. This revised version was published online in August 2006 with corrections to the Cover Date.     

幼儿对数的认知及其策略

该研究探查幼儿对基数、数序、运算和解应用题的认知发展过程及其认知策略。着重探查：(1)不同认知任务对幼儿数认知发展的影响;(2)幼儿对基数和数序两者认知发展的顺序;(3)从幼儿主动解决问题的策略探究其认知发展水平。该研究采用定性和定量相结合的研究方法。被试为4、5、6岁城市幼儿园儿童,共92人,男女约各半。全部实验以个别方式进行。主要研究结果表明：(1)幼儿对基数、数序、运算和解应用题的认知成绩均有随年龄发展的趋势,但快速发展的年龄阶段因任务的难度而异;(2)幼儿对基数和数序的认知在4—5岁显示出不同步的发展,对基数的认知成绩优于对数序的认知,而到6岁两者具有同步发展的趋势;(3)幼儿解决问题的策略水平随年龄发展,显示了由外化水平的智力活动向完全内化的智力操作的发展过程,并具有明显的层次性。该研究结果为幼儿数能力的培养和促进提供参考依据。