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.     

An interactive fuzzy satisficing method for multiobjective stochastic linear programming problems using chance constrained conditions

Two major approaches to deal with randomness or ambiguity involved in mathematical programming problems have been developed. They are stochastic programming approaches and fuzzy programming approaches. In this paper, we focus on multiobjective linear programming problems with random variable coefficients in objective functions and/or constraints. Using chance constrained programming techniques, the stochastic programming problems are transformed into deterministic ones. As a fusion of stochastic approaches and fuzzy ones, after determining the fuzzy goals of the decision maker, interactive fuzzy satisficing methods to derive a satisficing solution for the decision maker by updating the reference membership levels is presented. Copyright © 2003 John Wiley & Sons, Ltd.     

教师资格和职业发展因素对学生数学成绩的影响：一个跨文化比较

采用TIMSS2003中的数据,应用混合模型,比较香港、日本、瑞典和美国四个国家(地区)教师资格因素和职业发展因素对其学生数学学业成绩的影响。结果发现香港教师高学历和常有其他教师听课提高了学生成绩;瑞典教师的性别、专业和参加数学教学方法方面的职业发展活动,以及美国教师的专业和听其他教师讲课显著影响其学生成绩;日本教师资格和职业发展因素对其学生成绩没有影响。     

数学焦虑研究的认知取向

数学焦虑一直是心理学界研究和讨论的热点问题。本文主要从认知的角度对数学焦虑进行解释,并以此揭示数学焦虑的心理机制和思维规律。     

乡镇小学生的数学焦虑与数学成绩:数学自我效能感和数学元认知的链式中介作用

采用儿童数学焦虑量表、小学生数学学习自我效能感量表和小学生数学元认知问卷,对508名乡镇中、高年级小学生进行测量,并运用结构方程模型探讨数学焦虑影响数学成绩的内在作用机制。结果发现：（1）数学焦虑显著负向预测数学自我效能感、数学元认知和数学成绩,数学自我效能感显著正向预测数学元认知和数学成绩,数学元认知显著正向预测数学成绩;（2）在数学焦虑对数学成绩的预测中,数学自我效能感和数学元认知均发挥了部分中介作用;（3）数学自我效能感和数学元认知在数学焦虑和数学成绩之间起链式多重中介的作用。因此,数学焦虑除了直接作用于小学生的数学成绩,还可通过数学自我效能感或数学元认知间接影响数学成绩,而且可通过数学自我效能感进而通过数学元认知间接影响数学成绩。文章讨论了上述发现的理论及教育实践含义。     

Tests of an indifference rule in variable‐delay and double‐reward choice procedures with humans

Four hundred and fifty participants were recruited from Amazon Mechanical Turk across 3 experiments to test the predictions of a hyperbolic discounting equation in accounting for human choices involving variable delays or multiple rewards (Mazur, 1984, 1986). In Experiment 1, participants made hypothetical choices between 2 monetary alternatives, 1 consisting of a fixed delay and another consisting of 2 delays of equal probability (i.e., a variable‐delay procedure). In Experiment 2, participants made hypothetical monetary choices between a single, immediate reward and 2 rewards, 1 immediate and 1 delayed (i.e., a double‐reward procedure). Experiment 3 also used a double‐reward procedure, but with 2 delayed rewards. Participants in all 3 experiments also completed a standard delay‐discounting task. Finally, 3 reward amounts were tested in each type of task ($100, $1000, and $5000). In the double‐reward conditions (Experiments 2 and 3), the results were in good qualitative and quantitative agreement with Mazur's model (1984, 1986). In contrast, when participants made choices involving variable delays (Experiment 1), there was relatively poor qualitative and quantitative agreement with this model. These results, along with our previous findings, suggest the structure of questions in hypothetical tasks with humans can be a strong determinant of the choice pattern.     

Stereotype threat may not impact women's inhibitory control or mathematical performance: Providing support for the null hypothesis

Underpinned by the findings of Jamieson and Harkins (2007; Experiment 3), the current study pits the mere effort motivational account of stereotype threat against a working memory interference account. In Experiment 1, females were primed with a negative self- or group stereotype pertaining to their visuospatial ability and completed an anti-saccade eye-tracking task. In Experiment 2 they were primed with a negative or positive group stereotype and completed an anti-saccade and mental arithmetic task. Findings indicate that stereotype threat did not significantly impair women's inhibitory control (Experiments 1 and 2) or mathematical performance (Experiment 2), with Bayesian analyses providing support for the null hypothesis. These findings are discussed in relation to potential moderating factors of stereotype threat, such as task difficulty and stereotype endorsement, as well as the possibility that effect sizes reported in the stereotype threat literature are inflated due to publication bias.     

HIERARCHIES: THE CORE ARGUMENT FOR A NATURALISTIC CHRISTIAN FAITH

This article takes on a perhaps impossible task: not only to reconstruct the core argument of Arthur Peacocke's program in science and religion but also to evaluate it in two major areas where it would seem to be vulnerable, namely, more recent developments in systems biology and the philosophy of mind. If his theory of hierarchies is to be successful, it must stand up to developments in these two areas and then be able to apply the results in a productive way to Christian theological reflection. Peacocke recognized that one's model of the mind‐body relation is crucial for one's position on the God‐world relation and divine action. Of the three models that he constructed, it turns out that only the third can serve as a viable model for theology if it is to be more than purely deistic or metaphorical.