先天模块与后天文化资源的相互作用论——B.Butterworth的"数字模块"理论述评

从理论假设、概念体系和研究方法三个方面对B.Butterworth的“数字模块”理论进行了介绍和评价。该理论假定人类数学能力是先天的“数字模块”与后天的拓展模块功能的“概念工具”相互作用的产物。其概念体系涉及“数字模块”的定义、功能、结构及模块与文化资源间的相互作用。其方法以认知神经心理学为主,兼及跨文化、灵长目认知的研究和基因学的证据。     

工作记忆容量与儿童算术认知加工

工作记忆容量的差别是个体认知差异的一个重要方面。工作记忆容量在多种运算规则下与运算技能、概念性知识等因素交织在一起共同对儿童的算术认知加工产生影响,并且它是数学学习不良儿童学习困难的一个重要影响因素。同时,儿童的工作记忆容量本身也受到多种因素的制约,进而影响儿童的算术认知成绩。     

Identifying the nature of impairments in executive functioning and working memory of children with severe difficulties in arithmetic

An age-matched achievement-matched design was used to examine whether the executive functioning and working memory impairments exhibited by children with severe difficulties in arithmetic (SDA) are better viewed as developmental lags or as cognitive deficits. Three groups of children were included: 20 SDA children, 20 typically achieving children (CM) matched in chronological age with the SDA children, and 20 younger typically achieving children (AM) matched in achievement with the SDA group. While children with SDA did not exhibit impairments in color-word inhibition and verbal working memory, they did demonstrate impairments in shifting, quantity-digits inhibition, and visuospatial working memory. As children with SDA did not perform more poorly than their AM counterparts on any of these tasks, impairments in specific areas of executive functioning and working memory appear to reflect developmental lags rather than cognitive deficits.     

Semantic alignment across whole-number arithmetic and rational numbers: evidence from a Russian perspective

ABSTRACT

Solutions to word problems are moderated by the semantic alignment of real-world relations with mathematical operations. Categorical relations between entities (tulips, roses) are aligned with addition, whereas certain functional relations between entities (tulips, vases) are aligned with division. Similarly, discreteness vs. continuity of quantities (marbles, water) is aligned with different formats for rational numbers (fractions and decimals, respectively). These alignments have been found both in textbooks and in the performance of college students in the USA and in South Korea. The current study examined evidence for alignments in Russia. Textbook analyses revealed semantic alignments for arithmetic word problems, but not for rational numbers. Nonetheless, Russian college students showed semantic alignments both for arithmetic operations and for rational numbers. Since Russian students exhibit semantic alignments for rational numbers in the absence of exposure to examples in school, such alignments likely reflect intuitive understanding of mathematical representations of real-world situations.     

母亲评价与幼儿数学认知发展的关系

母亲对幼儿数学能力的评价是母亲教育观念的重要组成部分。研究运用问卷法与个别测查法,考察母亲对子女数学能力的评价与幼儿数学认知能力,并通过二者的一致程度揭示母亲评价其子女数学能力的准确性。研究发现,母亲对子女数学能力的评价存在明显的高估倾向;与母亲受教育水平及子女性别等因素不同,子女前期的数学成绩对母亲评价其数学能力的准确性存在显著影响;母亲对子女数学能力评价的准确性与子女数学认知发展水平存在显著的正相关,适当的高估对子女未来数学认知的发展最为有利     

The effect of conditioned reinforcement rate on choice: a review

We review the nature of conditioned reinforcement, including evidence that conditioned reinforcers maintain choice behavior in concurrent schedules and that they elevate responding in the terminal links of concurrent‐chains schedules. A question has resurfaced recently: Do theories of choice in concurrent‐chains schedules need to include a term reflecting greater preference for higher rates of conditioned reinforcement? The review of several studies addressing this point suggests that such a term is inappropriate. Elevated rates of conditioned reinforcement (and responding) in the terminal links of concurrent‐chains schedules do not lead to greater preference in the initial link leading to the higher rate of conditioned reinforcement. If anything, the opposite preference is likely to occur. This result is not surprising, since the additional putative conditioned reinforcers in the terminal link are not correlated with a reduction in time to primary reinforcement nor with an increase in value.     

不同解题条件下小学六年级学生真实性思考的研究

本研究采用7道真实性算术应用题构成的测试材料,考察了不同解题条件下小学六年级学生的真实性思考。选取优中差学生共74人,先在以班级为单位的数学测验中完成测试材料,然后进行事后个别访谈。结果表明：1）一般访谈显著地提高了学生真实性思考的水平;而访谈提示进一步显著地提高学生真实性思考的水平。2）不同学业水平学生之间在两次真实性思考提高量上都没有显著差异。3）在访谈中,优差学生在反应方式与真实性思考的层次性等方面表现出差异。基于这些研究结果,我们提出了相应的教育建议。     

婴儿的数认知核心系统

在简要回顾双系统假设产生过程的基础上,重点分析了双系统理论的要点、工作机理、实验依据,具体包括小数量精确表征系统和大数量近似表征系统的实验依据.最后讨论了婴儿数量认知的行为和脑生理机制研究中的问题和争论点以及数量认知研究中的矛盾结果和方法局限,并探讨了婴儿数认知是独立的系统还是需要多系统联合参与等七个亟待解决的课题.     

数学不良儿童的书写运动控制特征

选取小学生47名,其中23名为数学不良,24名为一般儿童,使用数码写字板,测试二者在自然和双任务条件下,书写一条横线的速度、加速度。结果发现：（1）自然条件下书写,MD儿童的速度、加速度与一般儿童相一致,两者的差异均不显著。（2）双任务条件下书写,MD儿童的总体平均速度、加速度明显慢于一般儿童的,两者的差异均显著。