Symmetry Under Transformation

                                   Cubical Maze Module

                                              a necessity


                                               ESSAYS

                          To Support and Strengthen the Disposition to Go On Learning Throughout Life --

                          To Enable the Children To Teach Us.

                                                                

                                                                                   CAVEAT

INNOVATION IN EDUCATION AND RESEARCH

COMPUTER AS THE PROBLEM:  THE FIX — THE SILVER BULLET:   THE BIG “SILO"

"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 visual content in important ways.  The power of touch, a reciprocity of  hand and mind, is missing in computer learning -- a computer learning deficit. 

"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."

                                                                  Antonio Domasio, "Descarte’s Error”, 1995


TABLE OF CONTENTS    S3:  What it is.  What it does.  Follow multiple scientific perspectives  with Links. 

REVIEWS                                                                                 ECOLOGY OF MIND

PROGRAMMERS                                                                                COGNITIVE TOOL (low-tech)

IDEA                                                                                                     INQUIRY / DISCOVERY

          ARCHITECTURE / ENGINEERING                                           MATH / RATCHET

          BLOCKS  / HANDS & MIND                                                       LOGIC

          PUZZLEMENT                                                                           PROBLEM SPACE

          SPACE  AS ART                                                                        RESEARCH

          QUAD PROBLEM                                                           STEM WITHOUT BOUNDARIES 

          PITCH DECK                                                                  PLAY  AS THINKING

          CHALLENGES                                                                           ALGEBRAIC PLAY 

                    COMBINATIONS / GAMES                                             “CREATIVITY” / INNOVATION 

                    COURTYARD                                                        CYBERNETICS / SYSTEMS THINKING

                    AIR BALL TOWER                                                APPENDIX - PHOTOS

                    3x3x3                                                                           


       

                                                                              open your mind

                                                                                       play


What does the Sommer Cube (S3have to do with our new world?  It exercises the faculties necessary to program a computer -- 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 

The Smart Block.    The Upgrade.             "What’s in your child’s playroom?"


A simple block and ball networking system that leverages full-spectrum cognitive / perceptual processing, “deep learning” algorithms, and the art of design with an emphasis on advanced thinking.

A development of choices (control flow) to create linearly independent / dependent paths through S3s, using a ball, or symmetry in mathematics.

A mixing of levels of abstraction, self-reference, self-challenge.

A robust, low-tech, high-yield cognitive tool: an ecology of Hands and Mind (note manual / mental rotation studies -- unlike "mouse learning" / computer learning).  "Brain Games are Bogus.


"… 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


An interplay of square and circle.

                    

The embodiment of Albert Einstein's "Combinatory Play"

(visuospatial:  analogical mapping and processing);


Especially Mathematics (science of patterns) Play (without symbols) --

a geometry / topology of paradox (asymmetric, nested self-reference and contradiction).

 

From developing mind to powerful intellect:

infant, child or world-class mathematician. 

    


The "transformative" nature of Its challenges and games

(dynamic cycle of concrete and abstract reasoning),


                                 

                                                KICK-STARTERS


From manipulation (manual and mental rotation) to 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

Science Technology Engineering Mathematics (& Art), 

(particularly in the formative years).


How to think. 

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

                                    Cubical Maze Module

SIMPLE BLOCKS    

    (S3s in every pre-K “block corner” / elementary school: explore abstract concepts)

PROGRAMABLE LOGIC BLOCKS (gate array / binary switches)

    (“Levels:  High School (9-12), College, Research …  

     Math Topics:  Higher-Dimensional Geometry, Topology”)

MAZE

ROLLING BALL CONSTRUCTION

PUZZLE

PLAYGROUND / CHILD DESIGNED               




                                        S3 as Fugue

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  

S3.  Play.

             


Support The New World of Child-Designed Education!


                      

                                                                     

                                                                              KICK-STARTERS

                                                                                               


wall flower 2 crop copy crop 2

                                                                           "l'espoir vis en moi'



                                              email  ms3@sommercube.com  

(3” X 3” X 3”)

(6” X 6” X 6”

(12” X 12” X 12”) 

(2’X2’X2’)          


 


 

© Michael S. Sommer, Ph.D. 2014