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Symmetry Under Transformation
Cubical Maze Module
To Support and Strengthen the Disposition to Go On Learning Throughout Life --
To Enable the Children To Teach Us -- In the Face of Paradox.
The Decision Sciences equivalent of a model train set.
The Zen koan mechanics of enlightenment.
INNOVATION IN EDUCATION AND RESEARCH
COMPUTER AS THE PROBLEM: THE FIX — THE SILVER BULLET: THE BIG “SILO” ...
the new reasoning is that if it is not electronic, it can't be significant. Which is too bad -- and dumb.
"Steve Jobs: The Next Insanely Great Thing."
"I used to think that technology could help education. I've probably spearheaded giving away more computer equipment to schools than anybody else on the planet. But I've had to come to the inevitable conclusion that the problem is not one that technology can hope to solve. What's wrong with education cannot be fixed with technology.
"No amount of technology will make a dent."
Steve Jobs (as quoted by Gary Wolf, The Wired Interview, 1996)
The sense of touch overrides the human interaction with complex cognitive and perceptual content in paradoxical ways. The robust integration of haptics / Hands and Mind is missing, from early childhood computer learning to joint pilot / computer management of aircraft. Dynamic interaction of the brain and its environment trumps brain alone.
"Nature appears to have built the apparatus of rationality not just on top of the apparatus of biological regulation, but also from it and with it."
(Daniel Dennett’s Review) Antonio Domasio, "Descarte’s Error”, 1995
TABLE OF CONTENTS S3: What it is. What it does. Follow multiple Science and Technology perspectives — with Links.
the dialectic — open your mind
What does the Sommer Cube (S3) have to do with our new world? It exercises the cognitive resources necessary to program a computer (0/1) -- but without the computer. There is too much computer, not enough peopleness. That is, unlike the iPhone, etc., the S3 allows us to hold on to some of the things we are losing … (see also Norbert Wiener’s, The Human Use Of Human Beings)
The Smart Block. The Upgrade.
The S3 is about playfulness, imagination and rigor -- in the face of real and abstract variables.
It is about awareness of environment, modifying self-behavior on the basis of experience, through the optimization of multiple simultaneous paths, in a constant stream of evolving problems, within a topology of paradox. (“How complex environments push brain evolution”)
The S3 accomplishes this by regulatory switching (communication among rotating S3s), a variety increasing, heuristic routing (ball or vector) system seeking best paths (optimization) in an unfriendly (blocking) network / environment of switchable links.
In Cybernetic terms, the S3 is a tangible, lucid demonstration of basic behaviors (consciousness) of the brain through mechanical concepts (switches); a cubical maze module (four tunnels = four binary (0/1) switches = gate array) offering a development of choices (control flow) to create linearly independent / dependent paths, using a ball, or symmetry in mathematics;
A simple block and ball networking system which leverages full-spectrum cognitive / perceptual processing, learning algorithms, and the art of design, with an emphasis on advanced thinking, and its reflection upon itself.
A topology of paradox.
"… a kind of Strange Loop, an interaction between levels in which the top level reaches back down towards the bottom level and influences it, while at the same time being itself determined by the bottom level.” Gödel, Escher, Bach
A continuous switching of square and circle.
The embodiment of Albert Einstein's "Combinatory Play"
(visuospatial: analogical mapping and processing);
From developing mind to powerful intellect,
infant, child or world-class mathematician,
Transformative challenges and games.
From manipulation (manual and mental rotation) to age spectrum research
(Autism, Alzheimer's, visuospatial, etc),
The S3 offers a true "parallelism of general cognitive fields",
"I'd like to see the S3 in every preschool and elementary school classroom, and in the home of every family with young children.”
Laura E. Berk, Ph.D. Child Development, 8th Edition (cc mss)
Crucial to the development / exercise of visuospatial reasoning in
(particularly in the formative years).
Discovery through paradox: Freedom to think.
And it's fun.
Cognitive Tool / Classic Toy / Virtual Reality
Marriage of Constructivism and Computer Learning
Full-Spectrum Cognitive Tool Kit
S3 Smart Block
PROGRAMABLE LOGIC BLOCKS (binary gate arrays / switches)
Math Topics: Higher-Dimensional Geometry, Topology”)
ROLLING BALL CONSTRUCTION
PLAYGROUND / CHILD CONTINUOUSLY DESIGNED
S3 as Fugue
Paul Epstein on J.S. Bach
A continuous interweaving, user created, network of tunnel paths (inner voices -- relating to bass line -- cantus firmus), imitative / developed contrapuntally into an orientation independent and network interdependent system of harmony.
S3 as Albert Einstein’s "musicality in the sphere of thought.”
J.S. Bach, Die Kunst Der Fugue
In a joyful way
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