Symmetry Under Transformation
Cubical Maze Module
To Support and Strengthen the Disposition to Go On Learning Throughout Life
INNOVATION IN EDUCATION AND RESEARCH
"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 is missing in computer learning -- a computer learning deficit.
TABLE OF CONTENTS -- follow multiple scientific perspectives with Links.
open your mind
The operation of abstraction, self-challenge: the Sommer Cube (S3).
The Smart Block. The Upgrade.
The embodiment of Albert Einstein's "Combinatory Play"
(visuospatial: analogical mapping and perceptual processing);
Especially Mathematics (science of patterns) Play (without symbols) --
a geometry of paradox (asymmetric, nested self-reference).
From developing mind to powerful intellect:
infant, child or world-class mathematican.
The "transformative" nature of Its challenges and games
(dynamic cycle of concrete and abstract reasoning),
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
(particularly in the formative years).
How to think.
And it's fun.
'… to support and strengthen the "disposition to go on learning" throughout life.'
Lilian G. Katz, STEM in the Early Years, 2010
STEM Without Boundaries
Pre-K and Up
Arbitrary barriers between school subjects restrict the development of abstract reasoning. A paradigm shift, a change of assumptions is needed.
For example, the working assumption that “Math is a way of measuring.” (BCM policy guide headline, link below) is the weakest foundation possible. Math is the power of ideas: the interplay of structure / space / change / quantity, etc. Not “a way of measuring.”
STEM development should be about power -- first, the power of abstract reasoning and then its practical application -- right from the beginning.
"[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word."
Galileo Galilei, Opere Il Saggiatore, 1623
Science is Play.
Children's Museums / advocates -- how they think / deal with this:
May The S3 Be With You
A stronger foundation.
Cognitive Tool (low-tech / cost-effective)
The GAO report [4/10/13] on STEM education announced that few of the "complicated patchwork of overlapping programs" are ever assessed for their effectiveness.
Whereas S3 provides clear connections to curriculum outcomes by critical and measurable early exposure to Science, Technology, Engineering, and Mathematics: an abstract / visuospatial reasoning tool --
Key to scientific literacy for all students, not just the gifted.
"Knowing this, why do we consciously put our nation at a disadvantage by failing to provide a strong STEM education for as many students as possible? By failing to improve access to STEM, especially for under-represented groups such as girls and minorities, we are compromising the ability of our youth to compete for the jobs of tomorrow."
Rep. Marcia Fudge, Chairwoman, Congressional Black Caucus (4/12/13)
The Equalizer. The Upgrade.
PROGRAMABLE LOGIC BLOCKS ("binary" -- Combinatorial Gate Array)
Math Topics: Higher-Dimensional Geometry, Topology”)
ROLLING BALL CONSTRUCTION
PLAYGROUND / DYNAMIC EXHIBITION
(3” X 3” X 3”)
(6” X 6” X 6”
(12” X 12” X 12”)