数学焦虑对心算加工的影响

近20年来,研究者逐渐注意到心算加工会受到数学焦虑的影响。文章主要介绍了数学焦虑的涵义、测量及其对心算加工的影响和理论解释。数学焦虑对心算的影响与问题大小效应关系密切。数学焦虑对简单心算问题的影响不大,随着问题难度的增加,数学焦虑效应逐渐明显。此外,数学焦虑还影响着心算的编码、提取以及策略选择等过程。目前的研究多倾向证明加工效能理论,同时抑制理论也是个可选择的理论解释,只是尚缺乏验证研究     

教师变量对小学生数学学习观影响的多层线性分析

32名小学数学教师与这些教师所教班级的1691名学生参与了本研究.两个测量工具评价了教师的数学学科知识与学科教学知识,对教师的55节数学课进行了录像;并按照学习任务的认知水平与课堂对话的特点进行了编码,采用问卷法测查了学生对数学学习的看法与态度.多水平分析表明:教师的学科教学知识、课堂学习任务的认知水平、课堂师生对话的权威来源与教师运用学生想法的程度对学生数学学习观具有显著预测作用;教师的学科知识对学生数学学习观的预测未达到显著性水平.     

SIMONE WEIL'S SPIRITUAL CRITIQUE OF MODERN SCIENCE: AN HISTORICAL‐CRITICAL ASSESSMENT

Simone Weil is widely recognized today as one of the profound religious thinkers of the twentieth century. Yet while her interpretation of natural science is critical to Weil's overall understanding of religious faith, her writings on science have received little attention compared with her more overtly theological writings. The present essay, which builds on Vance Morgan's Weaving the World: Simone Weil on Science, Necessity, and Love (2005), critically examines Weil's interpretation of the history of science. Weil believed that mathematical science, for the ancient Pythagoreans a mystical expression of the love of God, had in the modern period degenerated into a kind of reification of method that confuses the means of representing nature with nature itself. Beginning with classical (Newtonian) science's representation of nature as a machine, and even more so with the subsequent assimilation of symbolic algebra as the principal language of mathematical physics, modern science according to Weil trades genuine insight into the order of the world for symbolic manipulation yielding mere predictive success and technological domination of nature. I show that Weil's expressed desire to revive a Pythagorean scientific approach, inspired by the “mysterious complicity” in nature between brute necessity and love, must be recast in view of the intrinsically symbolic character of modern mathematical science. I argue further that a genuinely mystical attitude toward nature is nascent within symbolic mathematical science itself.     

Parental perceptions of mathematical talent

Parents often become frustrated when their perception of their child’s talent in mathematics differs from that held by the school. Yet for the young child, research suggests parents have a much deeper insight into the interests and talents of their child. Failure to recognize talent can result in lost opportunities for the child as well as a loss to society. This article evaluates the development of an instrument designed to assess parent perceptions of mathematical talent. Parental perceptions and family demographics were collected for third grade students participating in Project M³: Mentoring Mathematical Minds, a research program conducted collaboratively by the University of Connecticut, Northern Kentucky University and Boston University, and for second grade students under consideration for the program. The data were correlated with other identification tools used for the identification of talented second graders for Project M³ to explore a research-based means of parent identification of mathematical talent.

刻板印象的自动激活实验研究

本研究应用模糊主次评判方法配合语义启动技术进行实验。结果表明;在年龄刻板印象上存在自动激活,而且没有性别差异;用不同性质的启动词来激活与年龄有关的刻板印象,激活后的刻板印象对年龄的判断有不同的影响,而且被试没有一个人意识到这点,表明内隐刻板印象的存在;人的判断具有模糊性,模糊主次评判方法有助于社会认知领域的量化研究,这是一个全新的尝试。     

Math Talk and Student Strategy Trajectories: The Case of Two First Grade Classrooms

This study investigated different math-talk facilitations, and conceptualized the teachers' talk moves for productive student mathematics discussions. Our findings suggest that students' strategy development is supported by talk moves coordinating a wide range of student strategies, representations and discussions that are at a process-level and maintain student ownership of ideas, and transitional strategies that connect students' beginning ideas with target strategies.     

Academic Cheating in Mathematics Classes: A Motivational Perspective

We investigated the frequency of secondary school students’ self-reported cheating in mathematics and relationships between cheating and motivational beliefs, as well as neutralizing attitudes. Two types of cheating were examined: active cheating, which is aimed to increase a person’s own success, and second-party cheating, aimed to help other students achieve success. Students use second-party cheating very often and more than active cheating. Motivational beliefs are significantly related to active cheating but uncorrelated with second-party cheating. Thus, although active and second-party cheating are both classified as dishonest acts, they do not have the same motivational mechanisms in their background.     

近似数量系统敏锐度与数学能力的关系

近年来,来自认知发展、比较认知、跨文化认知和神经生物学的研究证据都表明近似数量系统的存在,并且相较于一般认知能力,它更可能是决定个体数学能力差异最为重要的因素。本文综述了有关近似数量系统敏锐度与数学能力相互关系的横断研究、纵向研究、训练研究及认知神经科学的研究成果,分析了影响二者关系的因素,包括个体年龄、数学能力高低、抑制控制等,并总结了多种理论对二者间显著正相关关系的解释。未来研究需要在确定更具信效度的测量范式的基础上探讨近似数量系统与数学能力各维度的关系,以及这种相互关系背后的原因,并将研究结论运用于数学教学及计算障碍个体的干预。     

初中生数学家庭作业质量、控制感与作业情绪对作业努力的影响

采用问卷调查法,以 463 名初中生为被试,探讨了初中生感知到的数学家庭作业质量、控制感和家庭作业情绪影响家庭作业努力的内在作用机制。结果发现：(1)积极数学家庭作业情绪和消极数学家庭作业情绪均在数学家庭作业质量和数学家庭作业努力之间起完全中介作用;(2)数学家庭作业质量可以通过数学控制感分别经积极和消极数学家庭作业情绪的多重中介来预测数学家庭作业努力。研究表明,初中生感知到的数学家庭作业质量、控制感和家庭作业情绪均是其家庭作业努力的重要影响因素。     

Discounting the Difficult: How High Math-Identified Women Respond to Stereotype Threat

In this study, we examined how math identity moderates women's response to gender-related stereotypes in the domain of mathematics. Male and female college students with varying degrees of math identification took a challenging math test with a gender-related stereotype either activated (i.e., stereotype threat) or nullified. Consistent with previous research, women performed worse than men in the stereotype threat condition, but equal to men in the stereotype nullification condition when performance was adjusted for math SAT scores. Moreover, when faced with stereotype threat, high math-identified women discounted the validity of the test more than did less math-identified women or men in general. We discuss potential benefits and drawbacks of a discounting strategy for women who are highly identified with math.