Title: The Body of Education
 1The Body of Education
- What might a healthy education system look like?
R. Darren Stanley University of Alberta Plexus 
Institute 
 2Some lessons from medicine and human 
physiology
Conventional medical wisdom holds that...
... disease and aging rise from stress on an 
otherwise orderly and machinelike system  that 
the stress decreases order by provoking erratic 
responses or by upsetting the bodys normal 
periodic rhythms. 
Counterintuitive findings suggest that...
...various physiological systems have a capacity 
for rather erratic behaviours when human beings 
are young and healthy. It is counter-intuitive, 
but as human beings age or develop certain 
illnesses, particular systemic behaviours become 
increasingly regular.
- A. L. Goldberger et al. Chaos and fractals in 
human physiology, Scientific American, Feb 1990. 
 3Put differently, irregularity and 
unpredictability are important aspects of healthy 
physiological systems  indeed, for a healthy 
life. Decreased variability and accentuated or 
increased more regular, periodic interactions 
tend to be associated with or increase the 
possibility for disease and dying.
Changelessness is a sign of death,transformation 
a sign of life. - Commentary on the I Ching 
 4Promising advances from paradigmatic 
complexity
Healthy variability can now be understood and 
even quantified through an increasing growth of 
concepts and tools introduced by mathematicians 
and computer scientists to the biological systems.
In particular, fractal geometry and non-linear 
dynamics have become very useful tools for 
thinking about, exploring and understanding 
complex systems. Moreover, medical clinicians 
and researchers are just finding ways to quantify 
and understand the chaotic dynamics of fractal 
structures or architectures. 
 5Medical research studies of complex 
biological phenomena
Fractal structures and processes have been 
observed in a variety of different physiological 
contexts
Images from www.pedriatriconcall.com, 
www.psychclassics.yorku.ca (Wilhelm Wundt, 
Principles of Physiological Psychology (1902),  
 6White blood cells and circulatory dynamics... 
 7Disorders affecting the human gait... 
 8Why fractal anatomies?
Fractal anatomies in different organ systems 
serve seemingly different functions. Fractal 
branches and folds...
- Increase the surface area for absorption 
 (intestines)
- Amplify the distribution or collection of various 
 fluids or gases (blood vessels, bile ducts,
 bronchial tubes)
- Facilitate information processing (nerves, 
 nervous system)
These structures exhibit redundancy and high 
irregularity, and thus are more robust and 
resilient to injury or perturbations. 
 9Normal sinus rhythms of the heart
Cardiologists regularly refer to the seemingly 
constant, predictable pulse in the wrist of a 
healthy person at rest as a regular sinus rhythm. 
 10Patterns of health and illness
Severe Congestive Heart Failure
Healthy Heart
Severe Congestive Heart Failure
Cardiac Arrhythmia, Atrial Fibrillation 
 11The healthy record (B), far from a homeostatic 
constant state, is notable for its visually 
apparent nonstationarity and "patchiness." These 
features are related to fractal and nonlinear 
properties. Their breakdown in disease may be 
associated with the emergence of excessive 
regularity (A) and (C), or uncorrelated 
randomness (D). Of note in (C) is the presence 
of strongly periodic oscillations (1/min), which 
are associated with Cheyne-Stokes breathing, a 
pathologic type of cyclic respiratory pattern. 
Quantifying and modeling the complexity of 
healthy variability, and detecting more subtle 
alterations with disease and aging, present major 
challenges in contemporary biomedicine. -A. L. 
Goldberger, Physionet Dataset 
 12Lessons learned...
... a REGULAR, SINUS rhythm is not the sign of a 
healthy heart at all. In fact, a regular, 
predictable, sinusoidal heart beat pattern is the 
sign of an aging or some cardiac disorder. In 
addition, uncorrelated random patterns are signs 
of disease as well. Thus, variability appears to 
be a necessary organizing principle for a healthy 
heart. That is, some variability is necessary, 
but not anything goes. 
 13Complex dynamics...
A variety of tools exist for analyzing the 
dynamics of complex non-linear systems. Fourier 
spectrum analyses of time-series data would work 
in this case for identifying the possibility of a 
chaotic system. Given any waveform, a Fourier 
analysis would reveal the presence of any 
periodic components. Also, tools for representing 
the phase space of complex non-linear systems 
are convenient for identifying classes of 
behaviors over many different initial 
conditions. Trajectories in these phase spaces 
tend to follow what are commonly referred to as 
point-attractors, limit cycle-attractors, or 
strange attractors (chaotic attractors). Research 
seems to indicate that healthy heart beat 
(beat-to-beat variability) is more chaotic in 
nature! 
 14The functional advantages of chaotic systems
- Chaotic systems operate under a wide range of 
 conditions, thus making them
- Adaptable 
- Flexible or plastic 
- Capacity to cope with an unpredictable and 
 changing environment
15Perturbations to the system
Depending upon the health of the system, 
perturbations can have some profound affects ... 
or not. Ensembles of perturbations  they are 
seldom single in number  may have the affect of 
pushing a system out of its equilibrium state 
into another qualitatively different one. On the 
other hand, particular features may persist under 
certain perturbations to the system. In the 
latter, it sometimes said that the system, 
particularly a biological system, is robust. 
That is, the system has a capacity to withstand 
perturbations in structure without changing its 
overall function (mutational robustness). 
Robustness can also be seen as a systems ability 
to perform different functions without the need 
to change the structure of the system 
(phenotypical plasticity). - Erica Jen, 
Stable or robust? Whats the difference?,SFI 
Working Paper 
 16Toward a view of a healthy education system
It would seem apparent that certain pathologies 
arise under particular conditions that might be 
otherwise described as unhealthy. This view of 
physiological health might be useful for thinking 
about the sorts of conditions for a healthy 
education system. And, indeed, the notion of 
diversity within social systems is a common 
enough notion discussed at this level. The 
notion of variability, however, seems to have a 
much wider connection with organizations of all 
kinds. 
 17Variability across bodies and boundaries
By shifting focus to relationships instead of 
separate entities, scientists made an amazing 
discovery system properties are awesomely 
elegant in their simplicity and constancy 
throughout the universe, from suborganic to 
biological and ecological systems, and mental and 
social systems, as well. - Joanna Macy 
Davis  Sumara. (2000). Curriculum forms on 
assumed shapes of knowing and knowledge, J. 
Curriculum Studies, 32(6), 821-845. 
 18Healthy bodies in educational contexts
- Biological Bodies 
- Sleeping patterns, eating habits, exercise, 
 social relations
- Social Bodies (Collectives) 
- Classroom structures, relationships  
 implications for teaching (early childhood
 development, schooling, post-secondary, adult
 education, professional programs)
- Political Bodies 
- Actions celebrating cultural differences, 
 recognizing differences in the work
 place/society/schools critical discourses in
 academia economics and the business of
 education service to communities
- Ecological Bodies 
- Degradation of and being out of touch with the 
 environment
19Some final thoughts...from others
 From a management point of view, the current 
division of human knowledge into disciplines is 
managerially stupid and an often evil design of 
science, which blocks off inquiry into critical 
issues because the issues don't fit into the 
disciplines. C.W. Churchman Change the 
environment, not the person. Buckminster 
Fuller What unites all beings is their desire 
for happiness. Dalai Lama Creativity comes from 
freedom. W. Edwards Deming A human being is part 
of a whole, the universe. Our task must be to 
free ourselves from the delusion of 
separateness. Albert Einstein 
 20Suggested Readings
J. B. Bassingthwaighte, L. S. Liebovitch and B. 
J. West. (1994). Fractal Physiology. Oxford 
University Press Oxford. B. Davis and D J. 
Sumara. (2000). Curriculum forms on assumed 
shapes of knowing and knowledge. Journal of 
Curriculum Studies, 32(6), 821-845. B. Davis, D. 
J. Sumara, R. Luce-Kapler. (2000). Engaging 
minds Learning and Teaching in a Complex World. 
Lawrence Erlbaum and Associates Mahwah, NJ. A. 
L. Goldberger. Fractal variability versus 
pathologic periodicity complexity loss and 
stereotypy in disease. Perspectives in Biology 
and Medicine, 40(4), 543-561. A. L. Goldberger, 
D. R. Rigney and B. J. West. (1990). Chaos and 
fractals in human physiology. Scientific 
American, 262(2), 42-49. K. McCandless and K. Yu. 
 (2001). Images of simplicity on the other side 
of complexity. Plexus Institute 
presentation. D. W. Orr. (1994). Earth in Mind 
On Education, Environment, and the Human 
Prospect. Island Press Washington, DC.