Teaching simple addition to children with mental retardation using a microcomputer

Computer assisted instruction (CAI) was used for improving the efficiency of simple addition (single-digit without carrying) computation in three children with mental retardation. The training program, conducted on a portable personal computer, consisted of demonstrations and repetitive practices on simple addition presented in a vertical format. A number of behavioral instruction techniques such as direct feedback, corrective demonstration, verbal association, and token reinforcement were also included. To evaluate the effects of the CAI package, a multiple-baseline across subjects design with followup was employed. Results showed that performances of children improved with training and were maintained at 1-week, 4-week, and 12-week followups. Generalization of the learned skills was evident when children were assessed on a paper-and-pencil addition test in a vertical format. The skills were also transferable, with initial prompting, to a computerized addition test in a horizontal format. These findings reaffirmed the applicability of CAI and behavioral techniques for teaching math skills to children with mental retardation.     

小学一～三年级儿童加减法策略选择的发展特点研究

随机选取90名小学一～三年级的儿童为被试,采用实验法和访谈法对儿童解决加减法算术题的策略发展特点进行了探讨。结果发现:1儿童能运用多种策略解决加减法算术题,在解决两个数的算术题时用到了13种策略,在解决三个数的算术题时用到了8种策略。2儿童在解决同一道题时大多能同时运用两种或两种以上的策略。3随着年龄的增长,儿童使用策略的总目呈简约化发展的趋势。4在解决两个数的算术题时,不同年级的儿童在使用出声策略、拆十策略、手势策略、逆算策略、数数策略的次数上差异显著,随着年级的增长其使用频率逐渐降低。5儿童在解决三个数的算术题时,各年级儿童使用出声策略、手势策略、对位策略差异显著,随着年级的增长其使用频率逐渐增高。     

累积生态风险与高职生学习倦怠：消极自我图式和网络成瘾的中介作用

采用累积生态风险问卷、消极自我图式问卷、网络成瘾问卷以及学习倦怠问卷对湖南省4所高职院校的664名高职生进行调查,考察累积生态风险与高职生学习倦怠的关系以及消极自我图式、网络成瘾的中介作用。结果发现:(1)高职生累积生态风险、消极自我图式、网络成瘾和学习倦怠均呈显著正相关;(2)高职生累积生态风险对学习倦怠的直接效应和间接效应均显著。间接效应包括了三条路径:通过消极自我图式的中介作用、通过网络成瘾的中介作用以及通过消极自我图式和网络成瘾的链式中介作用。这一结论有助于理解累积生态风险对学习倦怠的作用机制,为降低高职生的学习倦怠提供参考建议。     

Inverse reference in subtraction performance: An analysis from arithmetic word problems

Studies of elementary calculation have shown that adults solve basic subtraction problems faster with problems presented in addition format (e.g., 6?+?_?=?13) than in standard subtraction format (e.g., 13 – 6?=?_). Therefore, it is considered that adults solve subtraction problems by reference to the inverse operation (e.g., for 13 – 6?=?7, “I know that 13 is 6?+?7”) because presenting the subtraction problem in addition format does not require the mental rearrangement of the problem elements into the addition format. In two experiments, we examine whether adults' use of addition to solve subtractions is modulated by the arrangement of minuend and subtrahend, regardless of format. To this end, we used arithmetic word problems since single-digit problems in subtraction format would not allow the subtrahend to appear before the minuend. In Experiment 1, subtractions were presented by arranging minuend and subtrahend according to previous research. In Experiment 2, operands were reversed. The overall results showed that participants benefited from word problems where the subtrahend appears before the minuend, including subtractions in standard subtraction format. These findings add to a growing body of literature that emphasizes the role of inverse reference in adults' performance on subtractions.     

小学生加法口算速度和广度的发展研究

以180名1至6年级小学生为被试考察了加法口算速度和广度的发展。结果表明小学生被试加法口算的速度和广度均随年级的增长而提高。1至4年级加法口算速度的增长率较高,4至6年级增长率较低,发展减缓。加法口算广度的发展在1至4年级之间增长幅度较大;在4至6年级之间增长率降低,年级差异不显著。实验结果的分析还表明,小学生被试数字广度的发展和口算速度的提高是促进加法口算广度发展的两个重要因素。     

加法运算中数学知识和语义知识的整合

采用语义启动数字匹配任务及其变式, 探讨在中文背景下“和效应”和语义系统的类比一致性及其产生机制。结果发现, 中国学生对“和”目标数字的反应时显著长于对中性目标数字, 表明“和效应”是人类的一种强烈的认知倾向; 人类通过类比映射方式整合数学知识和语义知识; 影响语义加工的因素同样影响数学认知。研究还发现, 被试对中性目标数字的抑制难度受语义匹配任务性质的影响, 在完成类别不一致的探测词匹配任务时, 拒绝中性目标数字的反应时显著长, “和效应”消失, 表明“和效应”不仅源自于对“和”目标数字的激活, 也源自于对中性目标数字的抑制。     

聋生和听力正常学生解决加减文字题的眼动比较研究

采用EyetinkⅡ眼动记录仪,探讨了聋生与解题正确率高的听力正常学生表征和解决加减文字题的差异。被试为小学3年级学生．聋生12名．听力正常学生8名。研究结果表明：（1）在解决加减文字题时,聋生与解题正确率高的听力正常学生在阅读方式、关注关键信息上有显著差异,很多聋生阅读没规律．漏看文字题的关键信息;（2）聋生解决加减文字题的困难与其不能正确表征文字题的文本有关。     

Working memory and number line representations in single-digit addition: Approximate versus exact,nonsymbolic versus symbolic

How do kindergarteners solve different single-digit addition problem formats? We administered problems that differed solely on the basis of two dimensions: response type (approximate or exact), and stimulus type (nonsymbolic, i.e., dots, or symbolic, i.e., Arabic numbers). We examined how performance differs across these dimensions, and which cognitive mechanism (mental model, transcoding, or phonological storage) underlies performance in each problem format with respect to working memory (WM) resources and mental number line representations. As expected, nonsymbolic problem formats were easier than symbolic ones. The visuospatial sketchpad was the primary predictor of nonsymbolic addition. Symbolic problem formats were harder because they either required the storage and manipulation of quantitative symbols phonologically or taxed more WM resources than their nonsymbolic counterparts. In symbolic addition, WM and mental number line results showed that when an approximate response was needed, children transcoded the information to the nonsymbolic code. When an exact response was needed, however, they phonologically stored numerical information in the symbolic code. Lastly, we found that more accurate symbolic mental number line representations were related to better performance in exact addition problem formats, not the approximate ones. This study extends our understanding of the cognitive processes underlying children's simple addition skills.     

A Survival Analysis of Communal-Living, Self-Help, Addiction Recovery Participants

We examined individual and group characteristics associated with the duration of community involvement (i.e., length of residence) in 11 Illinois Oxford Houses for 129 male recovering addicts. Survival analyses indicated that the best predictor of duration of community involvement from demographic items was age (i.e., older age and older age of fellow residents were associated with being more likely to continue residence). Among psychological measures, the best survival predictor was lack of pessimism of the future. Although the relationship between longer length of residence and treatment outcomes are complex, because it is often difficult to keep people involved in treatment programs, knowledge that we can gain about those factors that might lead to greater lengths of stay are of importance.     

Non-symbolic arithmetic in adults and young children

Five experiments investigated whether adults and preschool children can perform simple arithmetic calculations on non-symbolic numerosities. Previous research has demonstrated that human adults, human infants, and non-human animals can process numerical quantities through approximate representations of their magnitudes. Here we consider whether these non-symbolic numerical representations might serve as a building block of uniquely human, learned mathematics. Both adults and children with no training in arithmetic successfully performed approximate arithmetic on large sets of elements. Success at these tasks did not depend on non-numerical continuous quantities, modality-specific quantity information, the adoption of alternative non-arithmetic strategies, or learned symbolic arithmetic knowledge. Abstract numerical quantity representations therefore are computationally functional and may provide a foundation for formal mathematics.