心算的加工机制：来自认知神经科学的研究

心算加工分编码（表征）、运算（或提取）和反应三个阶段,这三个阶段相互影响。不同输入形式的数字表征在顶叶的不同区域完成。算术知识提取主要与左脑顶内沟有关,但当心算变得更复杂时而需要具体运算时,左脑额叶下部出现明显激活。所有与心算有关的脑区涉及大脑前额皮层和颞顶枕联合皮层的综合作用,并总体表现为左脑优势,但估算、珠心算以及某些具有特殊心算能力的人的心算还依赖视空间表征,这与右脑额顶区和楔前叶的活动有关     

数学焦虑对工作记忆子系统及数学心算的影响分析

本研究从工作记忆容量的角度入手,探讨数学焦虑对工作记忆子系统及数学心算成绩的影响,并寻求三者之间关系的理论解释。本研究为3×2×2混合实验设计,即三组被试（高、中、低数学焦虑组）、工作记忆两个子系统（言语工作记忆和视空间工作记忆）和两种数学心算任务难度,并记录数学心算的反应时和正确率作为其成绩指标。结果表明在要求较高工作记忆容量的数学心算任务中,数学焦虑通过言语工作记忆和视空间工作记忆都会对数学心算成绩产生影响,其中视空间工作记忆是数学焦虑与复杂数学心算反应时之间的中介变量。     

应激情况下受暗示性强的被试与弱的被试手指温度的变化

经暗示性测试,14名高暗示性被试与10名低暗示性被试,接受三位数连加的心算任务。两组在心算期指温都有明显的下降。虽然两组在5分钟末的变率温度值之间没有明显的统计意义上的差异,但结果显示,后一组的指温下降反应有较大的习惯性。在心算结束之后的10分钟休息期,两组指温的上升都比较缓慢,前一组至第7分钟后才有明显的上升趋势,后一组至第10分钟才有明显变化;但是两组在第10分钟时的变率温度值之间没有显著差异。这似乎意味着前一组的交感神经活动的灵活转变程度大于后一组。     

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     

不同类型美感体验的自主反应特点

不同美感体验类型有何特异的生理反应？美感的生理反应是否类似于积极情绪？本研究以音乐和图片两类材料为刺激,以心率、皮肤电为生理反应指标,测量了不同审美状态下的自主生理反应情况。结果发现：不论是听觉还是视觉通道,优美、壮美、悲剧、喜剧4种审美风格的刺激都使被试心率和皮肤电下降;不同的美感形态所引起的反应不同,喜剧和壮美风格刺激诱发的自主生理反应变化相对于其他两种风格显得更明显,喜剧风格效果尤为突出;不同美感体验类型特异生理反应具有跨通道的一致性;四种美感体验类型的生理反应都不同于消极情绪,而类似积极情绪,从生理反应视角证明了美感体验递属于积极情绪。     

青老年组不同难度下心算活动的脑功能磁共振成像研究

应用功能磁共振成像技术研究不同心算难度下脑区的活动以及年龄的影响。14名志愿者（20～29岁青年和60～69岁老年被试各7名）参加了该实验。实验任务为2个难度水平的连续减法心算,分别为1000—3和1000—17。结果表明：（1）心算加工激活了额叶和顶叶的许多脑区;（2）大脑左半球是心算加工的优势半球,但随着心算难度加大,大脑一侧化程度下降,而年老加剧了这一趋势;（3）青年组进行简单心算（1000—3）时,额中回未见明显激活,而老年组进行简单心算时,该脑区被明显激活。总体上,额叶和顶叶在心算活动中起着重要作用,而任务难度和年龄对心算加工时脑活动的影响以额中回区最为明显。     

心算活动机制的研究

心算是一种重要的思维活动,是认知心理学的研究主题之一。心算活动具有明显的问题大小效应,其加工过程与工作记忆和长时记忆存在密切关系。此外,对心算的加工机制进行跨学科（认知心理学、神经科学等）的综合研究,是今后心算研究的主要方向。     

放松训练对心率、T波幅度、心算成绩的影响研究

本实验目的在于探讨放松训练对正常状态和心算应激时心率、T波幅度的影响。实验组接受放松训练,控制组不接受放松训练。结果发现：放松训练使身体常态时的心率显著降低,对心算应激时的心率和T波无显著影响;放松训练降低了心算时心率和心算错误率的方差;实验组的心算速度快,与控制组比较有显著差异。     

心算活动机制的研究

心算是一种重要的思维活动,是认知心理学的研究主题之一,心算活动具有明显的问题大小效应,其加工过程与工作记忆和长时记忆存在密切关第。此外,对心算的加工机制进行跨学科的综合研究,是今后心算研究的主要方向。     

心算加工的认知神经科学研究

近几年(1999-2005)有关心算加工的脑活动机制研究发现,类似九九乘法表这样的算术知识提取(如3×5)主要与左脑顶内沟有关,但当心算变得更复杂时(如26×38),左脑额叶下部出现明显激活,这表明心算与语言和工作记忆关系密切。另一方面,也存在不依赖于语言的即表现为视觉表象活动的心算,右脑的一些脑区在其中起了作用。简言之,所有与心算有关的脑区涉及到大脑前额皮层和颞顶枕联合皮层的综合作用,并总体表现为左脑优势,但具有特殊心算能力的人其心算还与右脑前额叶和颞叶内侧脑区的活动有关。     

An investigation of cognitive test performance across conditions of silence,background noise and music as a function of neuroticism

The present study investigates the role of trait neuroticism on cognitive performance under distraction. Seventy participants were given a personality test and then undertook a number of different cognitive tasks in silence, in the presence of popular music and in background noise. It was predicted that performance on a general intelligence test, a test of abstract reasoning, and a mental arithmetic task would be adversely affected by background sounds. It was predicted that neuroticism would be negatively correlated with performance on the mental arithmetic task but only when the individuals were working in the presence of background sound. Stable vs. unstable participant's performance on a mental arithmetic task during noise was significantly higher as predicted. The results provided partial support for the hypotheses and are discussed with respect to previous findings in the literature on personality (particularly introversion–extraversion) and distraction on cognitive task performance. Limitations are noted.     

Nonsymbolic numerical magnitude comparison: reliability and validity of different task variants and outcome measures, and their relationship to arithmetic achievement in adults

The numerical ratio effect (NRE) and the Weber fraction (w) are common metrics of the precision of the approximate numbers sense (ANS), a cognitive mechanism suggested to play a role in the development of numerical and arithmetic skills. The task most commonly used to measure the precision of the ANS is the numerical comparison task. Multiple variants of this task have been employed yet it is currently unclear how these affect metrics of ANS acuity, and how these relate to arithmetic achievement. The present study investigates the reliability, validity and relationship to standardized measures of arithmetic fluency of the NRE and w elicited by three variants of the nonsymbolic number comparison task. Results reveal that the strengths of the NRE and w differ between task variants. Moreover, the reliability and validity of the reaction time NRE and the w were generally significant across task variants, although reliability was stronger for w. None of the task variants revealed a correlation between ANS metrics and arithmetic fluency in adults. These results reveal important consistencies across nonsymbolic number comparison tasks, indicating a shared cognitive foundation. However, the relationship between ANS acuity and arithmetic performance remains unclear.     

Information processing and estimation of short time intervals.

Duration estimates were assessed by the method of reproduction with filled reproduction intervals. Mental arithmetic, reading and mirror-image drawing were used in pairs as initial and/or reproduction tasks. All nine possible pairs of tasks were used in a 9 X 5 X 5 mixed design with five Ss per task pair and five interruption intervals for each initial task. Results indicated that, when arithmetic was used as the initial task, Ss underestimated the duration of the initial interval. When arithmetic was used as the reproduction task, Ss overestimated the duration of the initial interval. A significant correlation was obtained between arithmetic outputs and the lengths of the duration estimates. Results are interpreted as supportive of Burnside's (1971) interpretation of Ornstein's (1969) storage-size hypothesis.     

Are Arithmetic Networks Interdependent In Number-Matching Task?

Addition and multiplication facts are retrieved from a network-like structure, as shown by data from number-matching tasks. Even if several evidences (e.g., cross-operation confusion effect) suggest that these networks are interrelated, the interdependency between addition and multiplication networks could be influenced by the type of task used (e.g., verification task). The present study aimed to investigate whether the addition and multiplication networks were interdependent or separate using a number-matching task. Eighty participants were divided in four groups. The Groups A (x, x, x) and B (+, +, +) performed the task in which only one arithmetic interference effect was implemented through three sessions (pure condition). The Groups C (x, x, +) and D (+, +, x) performed the same task in which the same arithmetic interference effect appeared in the first and second sessions, while a different arithmetic problem was presented in the last session (mixed condition). In the last session, the interference effect in the mixed condition was higher than that in the pure condition. The results argued more for an independency of addition and multiplication networks than for their interdependency.     

Working memory in event‐ and time‐based prospective memory tasks: Effects of secondary demand and age

An experiment is reported examining the role of working memory in two laboratory‐based prospective memory (PM) tasks. Participants viewed a film for a later recognition memory task while simultaneously monitoring auditorially presented arithmetic problems for incorrect solutions. The arithmetic verification task was either low demand or high demand. In addition, participants were required either to indicate whenever an animal appeared in the film (event‐based PM task), or whenever 3 min had elapsed (time‐based PM task). PM performance was higher when the arithmetic task was low demand than when it was high demand. Young participants were more successful in both PM tasks than older participants, but only under high demand. Age did not interact with PM task type overall, and the young participants were faster overall in both types of PM task. Taken together, the results indicate that working memory plays an important role in PM tasks.     

Understanding and using principles of arithmetic: operations involving negative numbers

Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers ( Dixon, Deets, & Bangert, 2001 ). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation. Participants ( N = 44) completed two tasks. In the Evaluation task, participants rated how well sets of equations were solved. Some sets violated principles of arithmetic and others did not. Participants rated non-violation sets higher than violation sets for two different principles for subtraction with a negative number. In the Word Problem task, participants read word problems and set up equations that could be used to solve them. Participants who displayed greater knowledge of principles of arithmetic with a negative number were more likely to set up equations that involved negative numbers. Thus, participants' knowledge of arithmetic principles was related to their problem representations.     

The type a behavior pattern,sex differences,and cardiovascular response to and recovery from stress

Sixty-one subjects performed a Stroop Color-Word Interference task, a mental arithmetic task (serial subtraction of 7s), and a shock avoidance task (repeating digits backward while expecting to be shocked for mistakes). Systolic and diastolic blood pressure and pulse rate were recorded while subjects anticipated, undertook, and recovered from the shock avoidance task, and undertook and recovered from the Stroop and mental arithmetic tasks. The results revealed that, compared to Type B subjects, Type A subjects manifested higher diastolic blood pressure during the Stroop and shock avoidance tasks and higher pulse rate following the mental arithmetic and shock avoidance tasks. No significant interactions were found between sex and A/B Type. The results are congruent with the notion that greater sympathetic nervous system activity among Type A individuals, both men and women, contributes to greater coronary atherosclerosis and heart disease in this group.     

An empirical evaluation of the SYNWORK1 multiple-task work environment

SYNWORK1 is a multiple-task work environment that allows up to four tasks (memory search, arithmetic, visual monitoring, and auditory monitoring) to be performed concurrently. Experiments were conducted to evaluate performance and subjective workload for each individual task and all combinations of tasks at two presentation rates. At the slower default rates, the three experiment-paced tasks were not very demanding, and improvements with practice were due primarily to the subject-paced arithmetic task. Doubling the presentation rates made the demands of all tasks more comparable and decreased the influence of arithmetic performance. SYNWORK1 is useful for comparisons between populations of individuals and evaluations of arousal-related variables, and, with modification, could provide a tool for assessing basic issues in multiple-task performance.     

The Role of Executive Function in Arithmetic Problem-Solving Processes: A Study of Third Graders

This study investigated the roles of different executive function (EF) components (inhibition, shifting, and working memory) in 2-step arithmetic word problem solving. A sample of 139 children aged 8 years old and regularly attending the 3rd grade of primary school were tested on 6 EF tasks measuring different EF components, a reading task and a reading comprehension task, an arithmetic facts task evaluating basic knowledge of calculation, and three 2-step arithmetic word problems. Multiple hierarchical regression analyses were conducted to investigate the roles of the different EF components in the various phases of the problem-solving process. The results showed that EF affects the various phases of problem solving differently over and above calculation knowledge and reading abilities. The implications of these findings are discussed in relation to further understanding the role of cognitive skills in mathematical problem solving and in relation to instructional approaches that may increase children’s performance on 2-step arithmetic word problems.     

Arithmetic split effects reflect strategy selection: an adult age comparative study in addition comparison and verification tasks.

We tested whether split effects in arithmetic (i.e., better performance on large-split problems, like 3 + 8 = 16, than on small-split problems, like 3 + 8 = 12) reflect decision processing or strategy selection. To achieve this end, we tested performance of younger and older adults, matched on arithmetic skills, on two arithmetic tasks: the addition/number comparison task (e.g., 4 + 8, 13; which item is the larger?) and in the inequality verification task (e.g., 4 + 8 < 13; Yes/No?). In both tasks, split between additions and proposed numbers were manipulated. We also manipulated the difficulty of the additions, which represents an index of arithmetic fact calculation (i.e., hard problems, like 6 + 8 < 15, are solved more slowly than easy problems, like 2 + 4 < 07, suggesting that calculation takes longer). Analyses of latencies revealed three main results: First, split effects were of smaller magnitude in older adults compared to younger adults, whatever the type of arithmetic task; second, split effects were of smaller magnitude on easy problems; and third, calculation processes were well maintained in older adults with high level of arithmetic skills. This set of results improves our understanding of cognitive aging and strategy selection in arithmetic.