Journal Pages
Learning:
The Journey of a Lifetime
or
A Cloud Chamber of the Mind

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Sunday May 6, 2007 7:30 am Edmonton

A. Morning Musings

7:30 am I do not have Internet access this morning.

B. Actual/Notes

7:30 am I am hoping to talk to someone this afternoon about digiscoping and how to attach a digital camera to my spotting scope. However before that I will divide my time between reading "The Brothers Karamazov" and working on setting up my notebook pages for the Mexico trip last February and March.

8:30 am One of the advantages of being away from my books and resources in Lethbridge is the opportunity it gives me to sit back and think about what I am doing, without actually doing anything. For example, when I return home I have identified the following tasks:

  • Burn a DVD for my iPhoto images, one for pre-2006, one for 2006, and one for 2007.
  • I need to do a serious cull of my books and match that against my database for Fiction and Non-fiction.
  • I need to seriously review my 4 "Projects" (Literature, Mathematics, Technology, Trains) web pages and bring them all up to date.
  • I have a piece of loose paper where I sketched out an outline of a book I bought on a previous trip to Edmonton on why good people do bad things. I want to use that as a model for for all of my books. I did this a few months ago for my Mathematics books. I should do this for all the major categories of Learning that interest me (i.e. the headings for my Chronology tables) and to resort all of my books on shelves that correspond to these categories. This sounds like it might be a major undertaking, but I think it will be worth it. From a chunking perspective, the first level of chunking would be these categories. Then within each category I need a second level that makes distinctions on the sub-categories. This should all be done with appropriate new fields in the database so I can then maintain these files in the years ahead.

For example, here is the table for my Mathematics books (taken from the Mathematics Project web page):

 
Resources for the Learning of Mathematics
 
 
Books
Links to Notes
Calculus    
  Calculus (1998) Roland Larson, Robert Hostetler & Bruce Edwards  
  Calculus (1994) Michael Spivak  
  What is Mathematics? (1996) Richard Courant & Herbert Robbins  
  Calculus: An Intuitive and Physical Approach (1977) Morris Kline  
  The Calculus Tutoring Book (1986) Carol Ash & Robert B. Ash  
     
Mathematica    
  Mathematical Navigator (2004) Heikki Ruskeepaa  
     
Number Theory Fundamentals of Number Theory (1977) William J. LeVeque  
  Prime Numbers (2005) David Wells
  Dr. Riemann's Zeros (2002) Karl Sabbagh  
  Prime Obsession (2003) John Derbyshire  
  Stalking the Riemann Hypothesis (2005) Dan Rockmore  
  The Music of the Primes (2003) Marcus du Sautoy  
  Numbers (1983) Graham Flegg  
  The Art of the Infinite (2003) Robert Kaplan & Ellen Kaplan  
  The Book of Numbers (1996) John H. Conway & Richard K. Guy 2006.10
  Mathematical Mysteries. The Beauty and Magic of Numbers (1996) Calvin C. Clawson  
  Wonders of Numbers (2001) Clifford A. Pickover  
     
Special Topics    
     
Symmetry & Group Theory Fearless Symmetry (2006) Avner Ash & Robert Gross 2006.10
  The Equation that Couldn't Be Solved (2005) Mario Livio 2006.11
     
Infinity Everything and More: A Compact History of Infinity (2003) David Foster Wallace  
  To Infinity and Beyond (1987) Eli Maor  
  The Mystery of the Aleph (2000) Amir D. Aczel  
     
Chaos & Fractals Coincidences, Chaos, and all that Math Jazz (2005) Edward B. Burger & Michael Starbird  
  Introducing Fractal Geometry (2006) Nigel Lesmoir Gordon, Will Rood & Ralph Edney  
  Symmetry in Chaos (1992) Michael Field & Martin Golubitsky  
     
Special Topics Gamma - Exploring Euler's Constant (2003) Julian Havil  
  The Divine Proportion (1970) H. E. Huntley  
  Divine Proportion: Phi in Art, Nature and Science (2005) Priya Hemenway  
  The Golden Ratio (2002) Mario Livio  
  Imagining Numbers (2003) Barry Mazur  
  An Imaginary Tale: The Story of the Square Root of -1 (1998) Paul J. Nahim  
  Zero: The Biography of a Dangerous Idea (2000) Charles Seife  
  e: The Story of a Number (1994) Eli Maor  
  The Mobius Strip (2006) Clifford Pickover  
  Math and the Mona Lisa (2004) Bulent Atalay  
     
  Unknown Quantity (2006) John Derbyshire  
  Meta Math! The Quest for Omega (2005) Gregory Chaitin  
  The Moment of Proof (1999) Donald C. Benson  
  Godel's Proof (2001) Ernest Nagel & John R. Newman  
 
 

The table reveals that I have 8 major sub-categories of Learning within Mathematics. Clearly many books have overlapping content but this still works as a major way of conceptualizing what I am interested in.

Let's play with this a bit more. I have many books that discuss how children and students learn mathematics. This could be a sub-category under Psychology. What would be some potential other sub-categories? I liked the way I developed these categories with the mathematics books. I gathered all of the books that seemed to belong under the major category of mathematics and then tried to sort them into 7 plus or minus 2 sub-categories.

In the process of doing this I could also do a cull of books that appear to me to not longer be of interest or value. In a way this is much like my early days as a graduate student, only this time I have the resources in my own home. But it is worthwhile to get the categories organized into such a system so I can review, at a glance, the overall structure of the topic.

In principle, one should be able to do this without actually having the books at hand. For example, what are the major categories for Literature? One easy first category might be nationality of author: Canada, Australia, England, USA, Japan, Russia, Other. Then within each country I might sort them by date of publication, or by author's surname (this would allow me to see at a glance how many books I have by a particular author). By having all of this information in a database I could produce a few lists such as all the books sorted by year of publication, or by country, or by author.

This is fun. With no recourse to what I have, I will try to create a preliminary structure for all of my books:

1. Psychology
2. Technology
3. Mathematics
4. Science
5. History
6. Art
7. Philosophy
8. Literature
9. Trains
10. Birds
11. Go

Now lets try expanding these categories.

Mathematics

  1. Calculus
  2. Number Theory
  3. Groups/Symmetry
  4. Chaos/Fractals
  5. Infinity
  6. Mathematica
  7. Statistics
  8. Special Topics

Literature

  1. Canada
  2. Australia
  3. Japan
  4. Russia
  5. England
  6. USA
  7. Other

Birds

  1. Field Guides
  2. Bird Lists
  3. Identification
  4. Behavior
  5. Organizations
  6. Photography

Psychology

  1. Cognitive
  2. Learning/Studying
  3. Development
  4. Personality
  5. Education
  6. School Mathematics

Science

  1. Physics
  2. Cosmology
  3. Biology
  4. Biography

History

  1. Prehistory
  2. Europe
  3. Asia
  4. Africa
  5. New World

Philosophy

  1. Western
  2. Tao/Buddhism
  3. Ethics

Technology

  1. Web
  2. Mac
  3. Software

Art

  1. Western
  2. Japanese

Trains

  1. CNR
  2. Western Canada
  3. Steam
  4. Diesel
  5. HO Scale

The next task will be to revise the above lists when I review my books.

C. Plan

Immediate    
Technology Convert LPs to MP3 format  
  Learn how to attach a digital camera to my spotting scope 1 hr
Birds Update database to include 2007 Mexico trip  
  Create notebook pages birding in Mexico  
Literature

Read & make notes for book 7of "The Brothers Karamazov" by Fyodor Dostoevsky

1 hr
Later    
Technology Make notes for chap. 4 of "Switching to the Mac"  
  Burn backup of images onto DVD  
Mathematics Read & make notes on The Humongous Book of Calculus Problems  
  Continue reading "Algebra: Abstract and Concrete" by Frederick Goodman  
  Read "Symmetry" by David Wade  
  Make notes for "Mathematics: A Human Endeavor" ch 1  
  Read "Fearless Symmetry" chap 9: Elliptic Curves  
Model Trains Add ground cover to oil refinery diorama  
  Follow tutorial for version 8 of 3rd PlanIt  
  Continue assembly of coaling tower  
  Purchase DCC system  
History Begin reading "Maya"  
  Read Watson "Ideas"  
Philosophy Read & make notes for "Breaking the Spell"  
  Begin reading "How Are We To Live?" by Peter Singer  
Literature New York Times easy crossword puzzles  
GO Complete reading "Lessons in the Fundamentals of Go"  
Puzzles

The Orange Puzzle Cube: puzzle #10

Major Goals    
Learning Review week's pages each Sunday  
  Review all pages for the month at the end of each month  
Technology Review & edit iPhoto files for 2006  
Model Trains Become proficient with 3rd PlanIt software  
  Install DCC on model train layout  
GO Learn to play GO at something better than a beginner level  
Drawing Learn to draw!! (I keep saying this, yet I have yet to put a pencil to paper).  
Mathematics Continue to play with mathematics.  
Literature Continue to read Literature  
Bird Watching Continue to engage in bird watching activities.  

D. Reflection