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。     

Quantum Mechanics and "Song of Myself": Getting a Grip on Reality

Most recent writing linking science and literature has concerned itself with challenges to the epistemological status of scientific knowledge in an attempt to demonstrate its contingency, arguing in the more radical efforts that the structures of science are no more than useful fictions. This essay also includes an epistemological comparison between science and literature, but instead of making grand or meta–statements about the nature of knowing generally in the two fields, mine is a much narrower aim. My exploration entails two tasks. First, I provide a close–up look at a particular type of experiment, called the delayed–choice experiment, which clearly reveals the strangeness of the quantum world. In connection with this experiment, I discuss wave functions—mathematical expressions used by physicists to describe quantum behavior and predict the outcome of experiments involving quanta. Second, I look at Walt Whitman's “Song of Myself” focusing on the meaning of the “self” in the poem. My aim is to treat the object of study in each field as a “text” and to assert and demonstrate a parallel in the strategies of thought and response between physicists (“readers”) pondering the meaning and status of a wave function and poem readers pondering the meaning and status of the poem's self. In Whitman's “Song” we find an attempt to understand complex aspects of human experience that are said to transcend ordinary reality, an effort for which I believe there are parallels in the attempts of modern physicists to understand complex, nonintuitive aspects of the subatomic world. While not making the kind of broad claims eschewed above, I do suggest that this focused study has interesting implications since both the wave function and the poem's self force their respective sets of “readers” to confront questions of ultimacy—to consider, that is, epistemological and ontological issues of more than passing interest to students of science as well as those of metaphysics and theology.     

Science and Religion: Getting Ready for the Future

I explore three challenges for the current dialogue between science and religion: the challenges from hermeneutics, feminisms, and postmodernisms. Hermeneutics, defined as the practice and theory of interpretation and understanding, not only deals with questions of interpreting texts and data but also examines the role and use of language in religion and in science, but it should not stop there. Results of the post‐Kuhnian discussion are used to exemplify a wider range of hermeneutical issues, such as the ideological potential of scientific concepts, the dynamics of interdisciplinarity, and the significance of the socioeconomic situatedness of science and religion. Feminist research analyzes the consequences of the interplay of masculine, feminine, and gender typologies in religion and science. Examples from the history of science as well as current scientific conceptualizations indicate that beliefs in the inferiority of woman form part of our inherited scientific, religious, and metaphysical framework. It is argued that postmodernism in its most constructive form shares the best fruits of modernity, especially of the Enlightenment, while avoiding some of its most serious mistakes. In conclusion, reflecting on the three publics engaged in the dialogue between science and religion—academe, religious communities, and societies—I offer constructive suggestions and critical observations concerning the future of this dialogue.     

Reasonable reasons for waiting

Recent decision‐making research claims to establish that, in violation of Savage's normative sure‐thing principle, individuals often wait to acquire noninstrumental information and subsequently base their decisions upon this information. The current research suggests that characterizing individuals as pursuing noninstrumental or useless information may be overstated. Through a series of experiments we establish, first, that many people choose to wait, even when waiting provides no additional information at all. Second, the longer people are allowed to wait before having to decide, the more people prefer to wait rather than decide immediately. Third, those individuals who choose to wait are the ones less confident about committing themselves to a decision. For them, the benefit from waiting may be especially valuable by allowing them to come to terms with a less‐than‐ideal decision. Copyright © 2003 John Wiley & Sons, Ltd.     

Erna and Melanie Klein

Erna was one of the child patients treated by Melanie Klein in Berlin, employing her recently discovered play technique. Since Erna died in Chile, the authors considered the IPA Congress in Santiago an opportunity to present a paper as a homage both to Erna and, especially, to Klein. She learned much from that very disturbed child, which she later used to sustain the ongoing development of her theories. The paper explores biographic data relevant to understanding both the case and the theories. It analyses the case material to follow Klein in the discovery and the handling of the child's transference and the harsh expressions of hate, jealousy and envy, which are brought in, with sad consequences, by strong persecutory feelings. Klein's comparison of this case with that of Freud's Wolf-man is also considered, mostly to show that the similarities were less than originally claimed, and that Klein, perhaps, was introducing a theoretic shift which led her technique to gradually change from ' Nachträglichkeit ' to the 'signification-resignification' pair, akin to Strachey's concept of the mutative interpretation. Lastly, the comprehension of Erna's strong psychotic traits and the links with later developments of the theory on psychosis are studied.     

Languages for Gestalts of line patterns

Any formal model of visual Gestalt perception requires a language for representing possible perceptual structures of visual stimuli, as well as a decision criterion that selects the actually perceived structure of a stimulus among its possible alternatives. This paper discusses an existing model of visual Gestalt perception that is based on Structural Information Theory. We investigate two factors that determine the representational power of this model: the domain of visual stimuli that can be analyzed, and the class of perceptual structures that can be generated for these stimuli. We show that the representational power of the existing model of Structural Information Theory is limited, and that some of the generated structures are perceptually inadequate. We argue that these limitations do not imply the implausibility of the underlying ideas of Structural Information Theory and introduce alternative models based on the same ideas. For each of these models, the domain of visual stimuli that can be analyzed properly is formally defined. We show that the models are conservative modifications of the original model of Structural Information Theory: for cases that are adequately analyzed in the original model of Structural Information Theory, they yield the same results.     

Francis Collins,the Skeptics,and Evidence for God

Skeptical Inquirer magazine has published an attempted refutation of Francis Collins' book, The Language of God. The refutation argues that Collins lacks scientific evidence for God and that Collins actually appeals not to evidence, but to personal belief. In refutation of this refutation, Ted Peters argues that Collins plays completely within the rules of scientific discourse while providing rational evidence—though not conclusive proof—for the existence of God as creator and moral lawgiver.     

Predictive model for early math skills based on structural equations

Early math skills are determined by higher cognitive processes that are particularly important for acquiring and developing skills during a child's early education. Such processes could be a critical target for identifying students at risk for math learning difficulties. Few studies have considered the use of a structural equation method to rationalize these relations. Participating in this study were 207 preschool students ages 59 to 72 months, 108 boys and 99 girls. Performance with respect to early math skills, early literacy, general intelligence, working memory, and short‐term memory was assessed. A structural equation model explaining 64.3% of the variance in early math skills was applied. Early literacy exhibited the highest statistical significance (β = 0.443, p < 0.05), followed by intelligence (β = 0.286, p < 0.05), working memory (β = 0.220, p < 0.05), and short‐term memory (β = 0.213, p < 0.05). Correlations between the independent variables were also significant (p < 0.05). According to the results, cognitive variables should be included in remedial intervention programs.     

Depth capture by generic-view motion

The present study investigated the spatial interaction between the generic view and accidental view. First, the generic-view principle was applied to the three-dimensional motion of a wire-frame cube. Second, the effects of inner rotating dots and generic/accidental views of inner bars on an accidental view of a cube were investigated to show the spatial interaction between generic and accidental views. This investigation revealed that the generic view of a rotating cube generated a clearer three-dimensional perception than the accidental view, which is consistent with the generic-view principle. Both the unambiguous three-dimensional cue of inner dots and the generic view of inner bars "captured" the depth perception of the accidental view of the rotating cube. This finding suggests that the generic-view principle not only works locally, but then propagates globally. Further, it indicates how the visual system implements the generic-view principle to incorporate more complicated scenes.     

关于道德原则的几点思考

信仰缺失、经济转型和文化变革,使信仰和道德从一元化走向了多元化,并引起了人们对道德的迷茫、沉思和渴求。在追求普遍适用道德原则的过程中,绝对主义把这种原则看成亘古不变的教条,而相对主义则否定这种原则的存在。我们认为,这种原则是存在的。它是绝对性与相对性的统一,是客观性与主观性的统一,是人们对历史必须性的一种表述形式。我们必须认真研究客观规律,才能总结出有价值的道德原则、范畴和规范。