scholarly journals Complexity Theory in the Mathematics Lab-Classroom

Author(s):  
Margaret Sinclair

The main thesis of a recent article by Davis and Simmt (2003) is that “mathematics classes are adaptive and self-organizing complex systems”. This thesis is intriguing. It helps explain a phenomenon teachers often witness—the spontaneous emergence of a special learning community in a particular class. And it raises the question—if this thesis applies to all mathematics classes how do the additional elements of a computer lab environment affect the evolution of the “learning system”? In this article three technology experiences have been analyzed in light of the thesis, to determine how software, organization, and task impact the blossoming of a complex learning system in the lab-classroom.

Author(s):  
Lynn Fels

The article explores the interplay between complexity theory, performative inquiry and learning as the author shares her experience in role as a tinker in a role drama designed and facilitated by four pre‐service teachers in her drama in education course. The reader is invited to consider role drama as an embodied learning system. Using the role drama as her example, the author identifies five conditions of a complex learning system as identified by complexity in education theorists Brent Davis, Dennis Sumara, and Elaine Simmt in their 2003 article, Complexity and Collectivity: On the Emergence of a Few Ideas. The author and her conspirators in role engaged in the overthrow of the monarchy are startled when the king suddenly announces his presence. What learning emerges when the king steps forth, and the tinker, alone, is faced with saving a fledging democratic movement?


2010 ◽  
Vol 90 (2) ◽  
pp. 109-137 ◽  
Author(s):  
Dragana Miljanovic

Traditional approach to the study of society-nature interactions based on reductionism and linear causality is no longer fully capable of explaining complex dynamics of integrated socio-economic and natural systems. For this reason demands for complexity theory is growing. Understanding interactions between society and nature, human and their environment must come from the examination of how the two systems operate together, and not from examination of those systems themselves in isolation. Since our geographical community is not familiar enough with complexity theory, first part of article is devoted to outlining shift from reductionism to holism and complexity theory. In the second part, features of complex systems as it is human (society)-environment system are discussed. .


Rachel Joyce’s short story collection A Snow Garden and Other Stories (2015) is composed of seven stories which occur during a fortnight of the holiday, Christmas season. The collection uses narrative techniques which make it a unique set of stories. The stories have an urban setting and examine the intricacies of human relationships. The sense of interconnection highlighted by Joyce in the stories elevates it to a short story cycle. A short story cycle consists of individual stories which can stand on their own as complete narratives while also maintaining fictional links running through all the stories. The paper is an attempt to establish A Snow Garden and Other Stories as a short story cycle. It also argues that by narrating the interconnected nature of human lives Joyce’s work is exploring life as a complex system. As a scientific philosophy complexity theory explores the behavior of complex systems including human societies. Complex systems are self-organizing, dynamic, evolving networks that operate without any centralized control, similar to human societies. This paper will apply the principles of complex systems to reveal patterns of human behavior represented in Joyce’s work.


2016 ◽  
Vol 10 (4) ◽  
pp. 187-198 ◽  
Author(s):  
Orly Lahav ◽  
Nuha Chagab ◽  
Vadim Talis

Purpose The purpose of this paper is to examine a central need of students who are blind: the ability to access science curriculum content. Design/methodology/approach Agent-based modeling is a relatively new computational modeling paradigm that models complex dynamic systems. NetLogo is a widely used agent-based modeling language that enables exploration and construction of models of complex systems by programming and running the rules and behaviors. Sonification of variables and events in an agent-based NetLogo computer model of gas in a container is used to convey phenomena information. This study examined mainly two research topics: the scientific conceptual knowledge and systems reasoning that were learned as a result of interaction with the listen-to-complexity (L2C) environment as appeared in answers to the pre- and post-tests and the learning topics of kinetic molecular theory of gas in chemistry that was learned as a result of interaction with the L2C environment. The case study research focused on A., a woman who is adventitiously blind, for eight sessions. Findings The participant successfully completed all curricular assignments; her scientific conceptual knowledge and systems reasoning became more specific and aligned with scientific knowledge. Practical implications A practical implication of further studies is that they are likely to have an impact on the accessibility of learning materials, especially in science education for students who are blind, as equal access to low-cost learning environments that are equivalent to those used by sighted users would support their inclusion in the K-12 academic curriculum. Originality/value The innovative and low-cost learning system that is used in this research is based on transmittal of visual information of dynamic and complex systems, providing perceptual compensation by harnessing auditory feedback. For the first time the L2C system is based on sound that represents a dynamic rather than a static array. In this study, the authors explore how a combination of several auditory representations may affect cognitive learning ability.


Author(s):  
Lorna Uden

Recently the e-learning community has begun to view the e-learning environment as a self-sustaining ecosystem that provides learners with the tools and surroundings they need to achieve their learning. An e-learning ecosystem is a community where organisms interact with one another and with their physical environment. Every organism has a role to fulfil and there must be a harmonious balance between all aspects of the ecosystem in order for the organisms to flourish and evolve. An e-learning system can be considered as a service system—the application of competences for the benefit of another. What exactly are the characteristics of an e-learning ecosystem and how can e-learning professionals create such an ecosystem that provide values for the different elements of the e-learning ecosystem? This chapter shows the concepts of service ecosystems that can be used to design an effective e-learning ecosystem that will provide value to the different stakeholders involved.


Author(s):  
Yin Zhang ◽  
Samuel Chu

<p class="2">In recent years, a number of models concerning problem solving systems have been put forward. However, many of them stress on technology and neglect the research of problem solving itself, especially the learning mechanism related to problem solving. In this paper, we analyze the learning mechanism of problem solving, and propose that when designing Web-based problem solving systems, more attention should be paid to the learning mechanism involved in the problem solving process than to the technology itself. On the basis of that, some new ideas on the design of the problem solving systems are put forward in order to promote the rapid development of the Web-based problem solving systems.</p>


1956 ◽  
Vol 27 (3) ◽  
pp. 327 ◽  
Author(s):  
Alfred Castaneda ◽  
David S. Palermo ◽  
Boyd R. McCandless

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