Articles

Math and the Mind

Versatile Numbers and Economics
There is another class of numbers as important to society as prime numbers.

"interesting"
- Douglas Hofstadter, Pulitzer Prize winning author of Godel, Escher, Bach. 

"Damn interesting...You have a most agile and... versatile mind."
- Michael Shermer, author, "Why People Believe Weird Things."

Nature's Numbers
What is the next step in the evolution of numbers?
III > 3 > ?
Roman > Hindu-Arabic > ?
What might numbers look like in the future?

Geodesic Dome Education  
How do we educate people about geodesic domes?

The Math Debate 
Should math teaching be experiential and hands-on or the traditional "drill and kill"?

SpeakEasy Math: Part I 
A revolutionary new way to teach mathematics using simplified nomenclature. Based on 15 years of experience and field research in mathematics education.

SpeakEasy Math: Part II

SpeakEasy Math: Part III

SpeakEasy Math: Part IV

SpeakEasy Math Word List

"I love your [math] word list."
  - Elizabeth Loftus, PhD, Psychology, U C Irvine.

Closest-Packing of Spheres  
This packing applies to geometry, art, science, mathematics, design, packing, economics, space, and architecture. 

Science and the Mind

Spacehenge 
Building a modern-day Stonehenge. Experience the Earth as an organic spaceship. Correctly re-orient yourself in the Earth-Sun system. 

Mass Delusions
If you see the sun move, if you see it rise or set or even travel across the sky, you are seeing something that is not possible. Hence my diagnosis of delusion.

Feeling the Round Earth
Is it possible to experience the roundness of Earth without going into orbit?

Buckyballs Triangulated 
A new way to envision the carbon 60 molecule.

Useable Knowledge 
What knowledge? What is science? A simple model that shows that even babies do science. 

Steven Hawking  
My experience at a Steven Hawking lecture.

Essays on Educational Psychology

Short essays on education based on 20 years experience in studying education at many different schools and in many different classrooms.  

Field Study Findings

The Errors of Educators

1) Education and Integrity

2) Reading vs. Word Calling

3) Word Grounding

4) Reversing the Dictionary

5) Defining Words

6) Opening the Captions

7) Reading: An Unnatural Act

8) Education in the Common Tongue

9) Critical Thinking or Critical Linking

10) School Violence--School Safety

11) Educational Testing

12) The King's Test

13) Teaching Violence

14) Speakeasy Word List: All Subject 

Cognitive Science

Skeptic-Fanatic Scale  
Are you a skeptic or a fanatic or do you lie somewhere in between?

Psycho-Slang  
Can we make psychological nomenclature more user-centered?