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Nonlinear Dynamic Effects of Convergent and Divergent Thinking in the Conceptual Change Process: Empirical Evidence from Primary Education. 趋同思维和发散思维在概念转变过程中的非线性动态效应:来自小学教育的经验证据。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-07-01
Julie Vaiopoulou, Themistocles Tsikalas, Dimitrios Stamovlasis, George Papageorgiou

The present study explores the role of convergent and divergent thinking in learning sciences from the nonlinear dynamical system (NDS) perspective. The participants (N=375) were fifth and sixth graders, aged 11-12, who were taking an introductory course in science. Students' understanding of physical phenomena, such as melting, boiling and evaporation was investigated as a function of four neo-Piagetian constructs via the difference-equation cusp catastrophe model. The nonlinear models where logical thinking acted as the asymmetry factor and field dependence/ independence, convergent thinking and divergent thinking acted as bifurcation factors, were superior, explaining 43-44% of the variance, whereas their linear alternatives explained 0-18%. Empirical evidence regarding the role of the above neo-Piagetian constructs at these early ages is reported for the first time and contributes to theory development within the NDS framework. Further, discussion about the significance of the findings is provided.

本文从非线性动力系统(NDS)的角度探讨了收敛思维和发散思维在科学学习中的作用。参与者(N=375)是11-12岁的五年级和六年级学生,他们正在学习科学入门课程。采用差分方程尖点突变模型考察了学生对熔化、沸腾和蒸发等物理现象的理解与四种新皮亚杰构造的关系。以逻辑思维为非对称因素,以场依赖/独立、收敛思维和发散思维为分岔因素的非线性模型解释了43-44%的方差,而线性替代模型解释了0-18%的方差。关于上述新皮亚杰结构在这些早期阶段的作用的经验证据首次被报道,并有助于NDS框架内的理论发展。此外,对研究结果的意义进行了讨论。
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引用次数: 0
The Relative Influence of Drivers and Empaths on Team Synchronization. 驱动者和共情者对团队同步的相对影响。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-07-01
Stephen J Guastello, Anthony F Peressini

To further the understanding of how to build or reduce synchrony in a work team, we examined two principles for defining the optimal condition to produce or limit synchrony: (a) the empath-driver ratio (relative strength of the stronger influencer compared to the receptive strength of any member in the group), and (b) the balance between autocorrelated autonomic arousal (degree to which members' signals are independent of other group members) and the degree of influence that transfers from each group member to other group members. In study 1, we employed a series of computational simulations designed to manipulate the four variables. The results indicated that there is a four-way balance between driver strength, empath strength, autocorrelational and transfer effects among team members. The relationship between the synchronization coefficient and the empath-driver ratio was moderated by whether the group adopted a network structure for group problem solving or command-and-control. In study 2 we analyzed autonomic arousal (electrodermal response) in four teams of five participants playing a first-person shooter computer game. The correlation between the synchronization coefficient and the empath-driver ratio was 0.280 (p < .001) based on 64 pairs of observations. The relationship was moderated by both the network structure and the statistical model that one adopted to analyze dyadic relationships within the group. The implications of these relationships for a growing theory of team synchrony are discussed.

为了进一步理解如何在工作团队中构建或减少同步性,我们研究了定义产生或限制同步性的最佳条件的两个原则:(a)共情驱动比(较强影响者与群体中任何成员的接受强度相比的相对强度),以及(b)自相关自主觉醒(成员信号独立于其他群体成员的程度)与从每个群体成员转移到其他群体成员的影响程度之间的平衡。在研究1中,我们采用了一系列的计算模拟来操纵这四个变量。结果表明,车队成员之间的驱动效应、共情效应、自相关效应和迁移效应存在四向平衡。同步性系数与共情驱动比的关系受群体解决问题的网络结构或命令控制结构的调节。在研究2中,我们分析了四组五人玩第一人称射击电脑游戏的自主神经觉醒(皮肤电反应)。共情驱动比与同步系数的相关系数为0.280 (p < 0.001)。这种关系受到网络结构和统计模型的调节,人们采用这种模型来分析群体内的二元关系。讨论了这些关系对团队同步性理论的影响。
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引用次数: 0
Chaotic Dynamics on Air Quality and Human Health: Evidence from China, India, and Turkey. 空气质量与人类健康的混沌动力学:来自中国、印度和土耳其的证据。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-04-01
Melike E Bildirici

The chaotic structure of air pollution, human health, the evidence of cointegration and causality between the air pollution, transportation, tourism, construction, and manufacturing industries and the evidence of cointegration and causality between the air pollution, transportation, tourism, construction, and manufacturing industries and mortality rate were explored for China, India, and Turkey in the period of 1975-2018 by using four different methods. Firstly, Lyapunov and Shannon tests were applied to determine chaotic dynamics. The maximum Lyapunov test, for the selected variables, found the evidence of chaotic dynamics. Secondly, Fourier ADF and NL tests were applied. Fourier unit root test determined stationary of the variables. Thirdly, bootstrapping autoregressive distributed lag with Fourier transformation (FBARDL) was used to determine the evidence of cointegration between the variables with two different models. FBARDL test determined that the manufacturing, tourism, transport, and construction industries, air pollution, and mortality rate have evidence of cointegration in different two models. Lastly, the causality test with Fourier transformation was used to determine the direction of causality between the variables. Granger causality test determined that there is evidence of one-way causality running from transportation, tourism, construction, and manufacturing industries to air pollution and mortality rates. Accordingly, the results of this paper suggest air pollution and human health have chaotic behaviors. Air pollution has a complex, multi-variable, and multi-coupling system. Air pollutants influencing factors and air pollution itself have adverse effects on human health.

以1975-2018年中国、印度和土耳其为研究对象,采用四种不同的方法探讨了空气污染与人类健康的混沌结构,空气污染、交通、旅游、建筑和制造业之间的协整和因果关系,空气污染、交通、旅游、建筑和制造业与死亡率之间的协整和因果关系。首先,采用Lyapunov和Shannon试验确定混沌动力学。对所选变量进行最大李雅普诺夫检验,发现了混沌动力学的证据。其次,采用Fourier ADF和NL检验。傅里叶单位根检验确定了变量的平稳性。第三,采用自举自回归分布滞后傅里叶变换(FBARDL)来确定两种不同模型变量之间协整的证据。FBARDL检验确定制造业、旅游业、运输业和建筑业、空气污染和死亡率在不同的两个模型中存在协整的证据。最后,利用傅立叶变换的因果关系检验来确定变量之间的因果关系方向。格兰杰因果检验表明,从交通、旅游、建筑、制造业到空气污染和死亡率,存在单向因果关系的证据。因此,本文的研究结果表明,空气污染与人体健康具有混沌行为。大气污染是一个复杂的、多变量的、多耦合的系统。空气污染物影响因素和空气污染本身对人体健康产生不利影响。
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引用次数: 0
Behavioral Savings: Heterogeneous Household Beliefs and Aggregate Nonlinearities. 行为储蓄:异质家庭信念与总体非线性。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-04-01
Orlando Gomes

Well documented empirical evidence points to the existence of strong heterogeneity regarding households' savings behavior over the life cycle: individuals endowed with identical inherited wealth, and with similar prospective income earnings and life expectancy, often select antithetical strategies when formulating their consumption-savings intertemporal plans. Underlying this evidence resides the fact that psychology matters, i.e., that economic agents are frequently influenced by their intrinsic beliefs (commanded by genetics and education) and by social and cultural motivations, thus deviating from strict rationality and strict optimal behavior. In this paper, a model of behavioral savings is proposed. In the model, three psychological profiles potentially coexist: individuals can be aligned with the rationality benchmark or, alternatively, they may depart from it by holding optimistic or pessimistic beliefs about future earnings. Each generation of households assumes one of the profiles (rational - optimistic - pessimistic), and new generations form their beliefs by making a constrained assessment of the utility levels attained by the existing generations (namely, they will mimic the behavior of generations which they perceive as being role models). The analysis characterizes the life-cycle implications of assuming each one of the belief profiles and proposes an explanation for aggregate fluctuations in savings and consumption based on the cyclical renewal of beliefs across the mentioned states.

有充分记录的经验证据表明,在整个生命周期中,家庭储蓄行为存在很强的异质性:拥有相同继承财富、具有相似预期收入和预期寿命的个人,在制定消费-储蓄跨期计划时,往往选择相反的策略。这一证据背后的事实是,心理很重要,即经济主体经常受到其内在信念(由遗传和教育决定)以及社会和文化动机的影响,从而偏离严格的理性和严格的最佳行为。本文提出了一个行为节约模型。在该模型中,三种心理特征可能共存:个人可能与理性基准保持一致,或者,他们可能因对未来收入持乐观或悲观的信念而偏离理性基准。每一代家庭都假设其中一种情况(理性-乐观-悲观),新一代通过对现有几代人达到的效用水平进行有约束的评估来形成他们的信念(也就是说,他们将模仿他们认为是榜样的几代人的行为)。该分析描述了假设每一种信念的生命周期影响,并根据上述各州信念的周期性更新,对储蓄和消费的总波动提出了解释。
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引用次数: 0
Predicting and Correcting Missing Data on Diffusion Processes in Multiplex Networks. 多路网络扩散过程中缺失数据的预测与校正。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-04-01
Alireza Khosravani, Mostafa Salehi, Vahid Ranjbar, Rajesh Sharma, Shaghayegh Najari

The diffusion process in networks is studied with the objective of identifying the dynamics and for predicting the behavior of network entities. Social media plays an important role in people's lives. Diffusion processes, as one of the most important branches of social media analysis, have their presence in various domains such as information spreading, diffusion of innovation, idea dissemination, and product acceptance to identify user's pattern and their behavior in social media networks. Users are not limited to one social network and are engaged in multiple social media such as Twitter, Instagram, Telegram, and Facebook. This fact has created new phenomena in social network analysis, called multiplex network analysis. Thus, the scope of diffusion process analysis has been transferred from single layer networks to multiplex networks. Diffusion process analysis can be studied at both infrastructure-level and diffusion-level; at infrastructure-level, the structural network's properties such as clustering coefficient and degree centrality are being studied; and in diffusion-level the diffusion network's properties such as diffusion depth and seed nodes are being studied. On the other hand, a reliable analysis requires complete information on both infrastructure and diffusion networks. However, complete data is not accessible forever, this fact is due to some limitations such as crawling big data, gathering social media policies, and user privacy. Incomplete data can lead to poor analysis, so in this work we, first of all, investigate the impact of missing data in both infrastructure and diffusion networks, the impact of random and non-random missing infrastructure data on nine diffusion network's properties such as number of infected nodes, number of infected edges, diffusion length and number of seed nodes. Secondly, based on the multiplex diffusion tree, we introduce a new model named as MLC-tree for an incomplete diffusion network. Finally, we evaluate our model on both synthetic and real social networks; these results show that the MLC-tree can decrease the relative error more than 50 percent while missing 20 to 80 percent of complete data.

研究网络中的扩散过程,目的是识别网络实体的动态和预测网络实体的行为。社交媒体在人们的生活中扮演着重要的角色。扩散过程作为社交媒体分析的一个重要分支,存在于信息传播、创新扩散、理念传播、产品接受等各个领域,用以识别用户在社交媒体网络中的模式和行为。用户不局限于一个社交网络,而是参与多个社交媒体,如Twitter、Instagram、Telegram和Facebook。这一事实在社会网络分析中产生了新的现象,即多重网络分析。因此,扩散过程分析的范围已从单层网络转移到多层网络。扩散过程分析可以在基础设施层面和扩散层面进行研究;在基础设施层面,研究了结构网络的聚类系数和度中心性等特性;在扩散层,研究了扩散网络的扩散深度和种子节点等特性。另一方面,可靠的分析需要关于基础设施和扩散网络的完整信息。然而,完整的数据不是永远可以访问的,这一事实是由于一些限制,如爬行大数据,收集社交媒体政策和用户隐私。不完整的数据会导致较差的分析,因此在本工作中,我们首先研究了基础设施和扩散网络中缺失数据的影响,随机和非随机缺失基础设施数据对9个扩散网络的属性(如感染节点数、感染边数、扩散长度和种子节点数)的影响。其次,在多重扩散树的基础上,对不完全扩散网络引入了一种新的mlc -树模型。最后,我们在合成社交网络和真实社交网络上对我们的模型进行了评估;这些结果表明,mlc树可以在丢失20 - 80%完整数据的情况下,将相对误差降低50%以上。
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引用次数: 0
Proprioceptive Dialogue - Interpersonal Synergies During a Cooperative Slackline Task. 本体感觉对话-在合作松弛线任务中的人际协同作用。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-04-01
Lluc Montull, Pedro Passos, Lluis Rocas, Joao Milho, Natalia Balague

Proprioceptive based interpersonal communication, playing a crucial role in cooperative motor tasks, needs further investigation. This study aimed to explore the interpersonal coordination of dyads cooperating to stand up in balance on a slackline through the study of inter and intrapersonal synergies. With this purpose, acceleration time series of the slackline as well as of both legs and the center of mass of slackliners were recorded. The Uncontrolled Manifold was used to evaluate inter and intrapersonal synergies, and afterwards, the Hierarchical Cluster Analysis was performed to detect hypothetical embedded organization of synergies. Furthermore, the kinematic variability of the synergetic elements was studied through the Detrended Fluctuation Analysis to find potential stabilizing roles among slackliners. Inter and intrapersonal synergies were identified with a higher hierarchical dominance of the former. Interpersonal stabilizing roles were demonstrated among slackliners, revealing greater kinematic control of free leg and the center of mass in those slackliners with more training experience and higher task performance. This exploratory study of interpersonal coordination found that there was an embedded organization between inter and intrapersonal synergies in which stabilizing roles emerged. Dyads established a dominantly proprioceptive dialogue to form a co-adaptive whole and cope with an unstable environment.

以本体感觉为基础的人际交往在协同运动任务中起着至关重要的作用,有待进一步研究。本研究旨在透过研究人际间及人际间的协同效应,探讨双人在松弛线上合作平衡站立时的人际协调。为此,记录了松弛绳的加速度时间序列,以及松弛绳两腿和质心的加速度时间序列。不受控制的流形被用来评估人与人之间和人与人之间的协同作用,然后,层次聚类分析被用来检测假设的嵌入组织的协同作用。此外,通过非趋势波动分析研究了协同元件的运动变异性,以寻找松弛架之间潜在的稳定作用。人与人之间和人与人之间的协同作用被认为具有更高的层次优势。结果表明,训练经验越丰富、任务绩效越高的人,其自由腿和质心的运动控制能力越强。人际协调的探索性研究发现,在人与人之间的协同作用和人与人之间的协同作用之间存在一个嵌入组织,稳定角色在其中出现。双体以本体感觉对话为主,形成一个共同适应的整体,以应对不稳定的环境。
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引用次数: 0
Fractals and Surrealism: A Pathway towards Rescuing Early Career Scientists' Creativity, and thus Scientific Discovery. 分形与超现实主义:拯救早期职业科学家创造力的途径,从而促进科学发现。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-01-01
Angela Stevenson

Artistic technique and scientific discovery are superficially contradictory, but are unified at their core as products of creativity. I have always embraced both disciplines, but at some point during my academic journey, I lost my imagination and ability to dream creatively. For over a decade, I have remained passionate about perfecting a way to retrieve this intrinsic component of myself, and nurture it in my students and peers. We must think anew and act anew - bridge the gulf between the disciplines of art and science - if we are to rescue creativity in scientific discovery, and retain many of the bright minds that burn out and even leave academia in science. Surrealism and fractals in nature are such bridges, and offer a space for early career scientists to embrace the full breadth and cultural capacity of science. Here, I present a retrospective review of artworks I have produced over nearly two decades, in considering how they reflect my mindset and relationship with science at various stages of my academic journey.

艺术技巧和科学发现表面上是矛盾的,但其核心是统一的,都是创造力的产物。我一直接受这两门学科,但在我的学术旅程中,我失去了想象力和创造性梦想的能力。十多年来,我一直热衷于完善一种方法来找回我自己的内在成分,并在我的学生和同龄人中培养它。如果我们想要拯救科学发现中的创造力,并留住许多精疲力尽甚至离开科学学术界的聪明人,我们就必须重新思考,重新行动——弥合艺术和科学学科之间的鸿沟。超现实主义和自然界的分形就是这样的桥梁,为早期的职业科学家提供了一个空间,让他们拥抱科学的全部广度和文化能力。在这里,我将回顾我近二十年来创作的艺术作品,考虑它们如何反映我在学术旅程的各个阶段的心态和与科学的关系。
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引用次数: 0
The Knowledge Acquisition Process from a Complex System Perspective: Observations and Models. 复杂系统视角下的知识获取过程:观察与模型。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-01-01
Fatima Velasquez-Rojas, Maria Fabiana Laguna

We study the knowledge acquisition process in a teaching-learning scenario that takes place within the classroom. We explore two complementary approaches, which include classroom observations and student surveys, and the formulation of theoretical models through the use of statistical physics tools. We develop an analytical model and a set of dynamics agent-based models that allow us to understand global behaviors, as well as to follow individual trajec-tories in the knowledge acquisition process. As a proxy of the final achievements of the students we use their final grade, allowing us to assess the validity of our approach. Our models, supported by observations and surveys, reproduce fairly well the process of acquiring knowledge of the students. This work sheds light on the internal dynamics of the classroom and allows us to understand some global aspects of the teaching-learning process.

我们研究了在课堂上发生的教与学情景中的知识获取过程。我们探索了两种互补的方法,包括课堂观察和学生调查,以及通过使用统计物理工具制定理论模型。我们开发了一个分析模型和一套动态的基于代理的模型,使我们能够理解全局行为,以及在知识获取过程中遵循个体轨迹。作为学生最终成绩的代表,我们使用他们的最终成绩,使我们能够评估我们方法的有效性。我们的模型在观察和调查的支持下,相当好地再现了学生获取知识的过程。这项工作揭示了课堂的内部动态,并使我们能够理解教学过程的一些全局方面。
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引用次数: 0
The Rough Journey to Success: Examining the Nonlinear Dynamics of Processes and Performance in Teams. 艰难的成功之旅:检视团队过程与绩效的非线性动态。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-01-01
Pedro Marques-Quinteiro, Pedro Ramos-Villagrasa, Jose Navarro, Ana Margarida Passos, Luis Curral

We build on Nonlinear Dynamic Systems (NDS) theory to examine if team performance change across a complete performance cycle is nonlinear, and if such change is related with team processes change over time. Participants were 214 teams enrolled in one management competition. The hypotheses were tested using nonlinear regressions and catastrophe modeling. The results of the nonlinear regression model support the hypothesis that change in team performance over time follows a cusp catastrophe distribution, R2Cusp = .93, F(5, 1065) = 16889.82, p < .001; and that team processes do function as asymmetry (transition and action processes) and bifurcation (interpersonal processes) factors. The results also suggest that the cusp catastrophe model (R2 = .68) explains team performance better than the linear (R2 = .05) and logistic models (R2 = .07). This study reiterates the importance of incorporating the NDS perspective within the teamwork literature to leverage our knowledge about the way teams perform over time.

我们建立在非线性动态系统(NDS)理论的基础上,以检验在一个完整的绩效周期中,团队绩效变化是否非线性,以及这种变化是否与团队过程随时间的变化有关。共有214支队伍参加了一场管理竞赛。使用非线性回归和突变模型对假设进行了检验。非线性回归模型的结果支持团队绩效随时间变化服从尖点突变分布的假设,R2Cusp = 0.93, F(5,1065) = 16889.82, p < .001;并且团队过程确实发挥着不对称(过渡和行动过程)和分歧(人际过程)因素的作用。结果还表明,尖点突变模型(R2 = .68)比线性模型(R2 = .05)和logistic模型(R2 = .07)更能解释团队绩效。这项研究重申了将NDS观点纳入团队合作文献的重要性,以利用我们对团队长期表现方式的了解。
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引用次数: 0
Synchronization of Fluctuations in the Interaction of Economies within the Framework of the Keynes's Business Cycle Model. 凯恩斯经济周期模型框架内经济互动波动的同步性。
IF 0.9 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL Pub Date : 2021-01-01
M A Radin, A N Kulikov, D A Kulikov

In this paper, we will study two independent economies in a country (national, regional and urban), where the dynamics of fluctuations in each economy is described by Keynes's mathematical business cycle model. This is an interaction of two economies which include trade and competition. In the resulting system that consists of two independent economic entities, we show that fluctuations can emerge as two possible types of economic indicators (synchronous and antiphase) when the peaks and downturns of business activities in each of the economies are completely synchronized or on the contrary when the rise of one economy is accompanied by a recession (antiphase cycles). Our aim is to examine the stability question of solutions of the cognate mathematical model. Our analysis of the mathematical model will render methods of the theory of dynamical systems, such as the method of integral manifolds and the Poincare normal forms. This approach will provide a sufficient analysis of the dynamics of solutions of a system of differential equations, which is used as a mathematical model. Asymptotic formulas will be obtained for solutions that depict economic cycles.

在本文中,我们将研究一个国家(国家,地区和城市)的两个独立经济体,其中每个经济体的波动动态由凯恩斯的数学商业周期模型描述。这是两种经济的互动,包括贸易和竞争。在由此产生的由两个独立的经济实体组成的系统中,我们表明,当每个经济体的商业活动的高峰和低谷完全同步时,波动可以作为两种可能的经济指标(同步和反相位)出现,或者相反,当一个经济体的崛起伴随着衰退时(反相位周期)。我们的目的是研究同源数学模型解的稳定性问题。我们对数学模型的分析将提供动力系统理论的方法,如积分流形的方法和庞加莱范式的方法。这种方法将为微分方程系统的解的动力学提供充分的分析,它被用作数学模型。将得到描述经济周期的解的渐近公式。
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引用次数: 0
期刊
Nonlinear Dynamics Psychology and Life Sciences
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