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The Incorporation of Fractals into Educational Management and Its Implications for School Management Models

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Chaos, Complexity and Leadership 2013

Abstract

This paper intends to demonstrate a certain level of methodological innovation in school management systems. Its main purpose thus is to introduce and apply the fractal theory to urge and catalyze the new thinking of administrative organization method and hope to build up an effective, efficient and appropriate school management model under the guidance of fractals. The paper therefore erodes any fears that usually curtail efforts towards transformation of systems since these fears normally hinge on self-doubt as to whether the proposed ideas are commensurate with the established and accepted realms as well as custodians of knowledge. Paper thus contends that without taking giant strides and risks, educational management and school leadership cannot and will never be improved since the same old systems and weak points will remain in force and get entrenched further. Accordingly therefore, the paper has examined a number of aspects related to changing paradigms in educational management which bring about acute chaos and complexity both in terms of the concept as well as management or leadership structure. The concept of fractals is thus identified as a way forward to achieving transformation of the education management system. However at this level it became imperative to examine the relationship between Fractals, chaos theory, crisis theory, self-organizing systems, disorderly structures and complex adaptive systems. Equally, the place of Fractals in management theory and school leadership models was explored and how these obtain in proposed model based on fractal systems alongside the benefits of the proposed model to school management.

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References

  • Bunde A, Havlin S (2012) Fractals and disordered systems, 2nd edn. Springer, Germany

    Google Scholar 

  • Carnall C (2003) Managing Change in Organizations. Pearson Education Limited, Harlow

    Google Scholar 

  • Credaro A (2006) Innovation and change in education. http://www.warriorlibrarian.com/LIBRARY/innovate.html, accessed 28 Dec 2013

  • Erçetin ŞŞ (2001) Yönetimde yeni yaklaşımlar. Nobel Yayın Dağıtım, Ankara

    Google Scholar 

  • Erçetin ŞŞ, Potas N, Kısa N, Açıkalın ŞN (2013) To be on the edge of chaos with organizational intelligence and health. In: Banerjee S (ed) Chaos and complexity theory for management: nonlinear dynamics. IGI Global, USA, pp 184–203

    Google Scholar 

  • Fryer P, Ruis J (2004) What are fractal systems? A brief description of complex adaptive and emergent systems (CAES) http://www.fractal.org/Bewustzijns-Besturings-Model/Fractal-systems.htm, accessed 28 Dec 2013

  • Garmston R, Bruce W (1995) Adaptive schools in a quantum universe. Educ Leadersh 52(7):6–12

    Google Scholar 

  • Garmston and Wellman (1995) Adaptive schools in a quantum universe. Educ Leadersh 52(7):6–12

    Google Scholar 

  • Gleick J (1987) Chaos: making a new science. Penguin Books, New York

    MATH  Google Scholar 

  • Greenwald GA (2001) Roadmap for Managers in the 21st Century. Warner Books Publishers, New York, NY

    Google Scholar 

  • Herghiligiu IV et al (2013) A new conceptual framework for environmental decision based on fractal philosophy. Environ Eng Manage J (EEMJ) 12(5):1095–1102

    Google Scholar 

  • http://fractalfoundation.org/resources, accessed 28 Dec 2013

  • http://www.tnellen.com/alt/chaos.html, accessed 28 Dec 2013

  • Jamali D (2004) Changing management paradigms: implications for educational institutions. Suliman S. Olayan School of Business, American University of Beirut, Beirut

    Google Scholar 

  • Li Q (2005) GIS-based multifractal/inversion methods for feature extraction and applications in anomaly identification for mineral exploration. Ph.D. thesis, York University, Toronto, Canada.

    Google Scholar 

  • Mandelbrot B (1983) The fractal geometry of nature. Macmillan, Newyork

    Google Scholar 

  • Mendelson J, Blumenthal E (2003) Chaos theory and fractals. URL: http://www.mathjmendl.org/chaos/index.html, accessed 28 Dec 2013

  • Mrówka R, Mikołaj P (2011) Dispersion of leadership in global organizations applying new types of organizational structures. Intellect Econ 5(3):477–491

    Google Scholar 

  • Nonakaa I et al (2013) Dynamic fractal organizations for promoting knowledge-based transformation—a new paradigm for organizational theory. Eur Manage J 33:1875–1883

    Google Scholar 

  • Oswaldo MM et al (2010) Fractal behaviour of complex systems. Syst Res Behav Sci 27(1):71–86

    Google Scholar 

  • Raye J (2012) Fractal organization theory. Petaluma, CA

    Google Scholar 

  • Saad SM, Lassila AM (2004) Layout design in fractal organizations. Int J Prod Res 42(17):3529–3550

    Article  Google Scholar 

  • Sandkuhl K, Kirikova M (2011) Analysing enterprise models from a fractal organisation perspective—potentials and limitations. In: Johannesson P, Krogstie J, Opdahl AL (eds) The practice of enterprise modeling: lecture notes in business information processing, vol 92. Springer, Germany, pp 193–207

    Google Scholar 

  • Shoham S (2005) Knowledge workers as fractals in a complex adaptive organization. Knowl Process Manage 12(3):225–236

    Article  MathSciNet  Google Scholar 

  • Topper B, Lagadec P (2013) Fractal crises—a new path for crisis theory and management. J Contingencies Crisis Manag 21(1):4–16

    Article  Google Scholar 

  • Trygestad J (1997) Chaos in the classroom: an application of chaos theory. Paper presented at the Annual Meeting of the American Educational Research Association, Chicago, IL, 24–28 Mar 1997

    Google Scholar 

  • Wikipedia, the free encyclopedia, accessed 28 Dec 2013

    Google Scholar 

  • Yan-zhong L (2005) Fractal administrative organization: new exploration on administrative organizational pattern. Workshop on Innovations in Governance and Public Service to Achieve a Harmonious Society. Beijing, 7 Dec 2005

    Google Scholar 

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Correspondence to Şefika Şule Erçetin .

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Erçetin, Ş.Ş., Bisaso, S.M. (2015). The Incorporation of Fractals into Educational Management and Its Implications for School Management Models. In: Erçetin, Ş., Banerjee, S. (eds) Chaos, Complexity and Leadership 2013. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-09710-7_4

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