Complex Dynamical Systems in Education 2016
DOI: 10.1007/978-3-319-27577-2_7
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The Fractal Dynamics of Early Childhood Play Development and Nonlinear Teaching and Learning

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Cited by 3 publications
(4 citation statements)
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“…Based on examples from various disciplines, Nicolis and Prigogine seek to find the commonalities between systems, and while their emphasis is on chemistry, physics and biology, their ability to demonstrate of the applicability of transformative models that are specific in the abstract across different fields of knowledge is what makes their search of particular interest. The extension of such change models to education can be readily appreciated by the fact many have already been investigated empirically, such as hysteresis (Stamovlasis, 2006;Stamovlasis & Tsaparlis, 2012), non-periodic attractors (Koopmans, 2015), emergence (Hussain et al 2014) and self-organization and fractality (Fromberg, 2010(Fromberg, , 2016. A discussion of complexity in terms of its transformative capabilities can also be found in Davis and Sumara (2006), who distinguish the construct defined in this way from complicity, i.e., systemic novelty due to repeated interactions, and simplexity, the emergence of simple linear features in complex systems (Stewart, 2007).…”
Section: Performing Transitions Between Statesmentioning
confidence: 99%
“…Based on examples from various disciplines, Nicolis and Prigogine seek to find the commonalities between systems, and while their emphasis is on chemistry, physics and biology, their ability to demonstrate of the applicability of transformative models that are specific in the abstract across different fields of knowledge is what makes their search of particular interest. The extension of such change models to education can be readily appreciated by the fact many have already been investigated empirically, such as hysteresis (Stamovlasis, 2006;Stamovlasis & Tsaparlis, 2012), non-periodic attractors (Koopmans, 2015), emergence (Hussain et al 2014) and self-organization and fractality (Fromberg, 2010(Fromberg, , 2016. A discussion of complexity in terms of its transformative capabilities can also be found in Davis and Sumara (2006), who distinguish the construct defined in this way from complicity, i.e., systemic novelty due to repeated interactions, and simplexity, the emergence of simple linear features in complex systems (Stewart, 2007).…”
Section: Performing Transitions Between Statesmentioning
confidence: 99%
“…Generally speaking, preschool activities may be categorized into two groups: academic and non-academic. Academic (Fromberg, 2002; Stipek, 2004; Stipek and Byler, 1997) activities imply the teacher is in charge and preschoolers follow the teacher’s instructions (e.g. circle time, library time, alphabet and number learning, worksheets, and storytelling).…”
mentioning
confidence: 99%
“…circle time, library time, alphabet and number learning, worksheets, and storytelling). Non-academic activities (Fromberg, 2002; Stipek and Byler, 1997, 2004) are child-centred, play-based, and enable the preschoolers to interact and explore (e.g. free play, peer-book readings, dramatic play, pretend play, and outdoor and monkey bars playtime).…”
mentioning
confidence: 99%
“…It is important to note that the discovered structure and complexity [28] directly result from the map dynamics themselves. That is to say, the complexity is a genuine result of the nature of the processes that the model describes.…”
Section: Discussionmentioning
confidence: 99%