_    Bibliography    _

  1. F.  Robinson Effective Study (New York: Harper & Row, 1946).
  2. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 69-72.
  3. McKeachie, W. (1984).  Does anxiety disrupt information processing or does poor information processing lead to anxiety.  International Review of Applied Psychology, p. 33, 187-203.
  4. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 78-79.
  5. John Jenkins and Karl Dallenbach 1924.
  6. MAA Challenge in the classroom.  Approach taken by R. L. Moore as a student.
  7. Pauk (6/1), 94, H.  C.  Ellis, Fundamentals of Human Learning, Memory, and Cognition, 2nd ed.  (Dubuque, Iowa, W.  C.  Brown 1978), p. 125.  
  8. George Polya How to Solve it 2nd ed. p. 108-109.  
  9. George Polya How to Solve it 2nd ed.  p. 173.
  10. Kenneth Higbee Lectures in Psychology 271 course, BYU.  
  11.  Instructed to organize—P.  A.  Ornstein, T.  Trabasso, and P.  N.  Johnson-Laird, “To organize is to remember: The effects of Instructions to Organize and to Recall,” Journal of Experimental Psychology 103 (1974) p. 1014-18.
  12. M. L. Fleming and D. W. Hutton, eds.  Mental Imagery and Learning (Englewood Cliffs, N. J.:  Educational Technology Publications, 1983).
  13.  Burger, William F. and Shaughnessy, J.  Michael (1986).  Characterizing the Van Hiele Levels of Development in Geometry.  Journal for Research in Mathematics Education, 17(1), p. 31-48.  
  14.  Stephen Covey 7 Habits of Highly Effective People p. 67-68.
  15.  George Polya How to Solve it 2nd ed.  p. 209.
  16.  Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 63 (concept of over-learning).
  17. Kenneth Hibgee BYU Psychology 271 course, Handout on mnemonics, interaction, exaggeration, and motion.
  18.  George Polya How to Solve it 2nd ed.  p. xvi-xvii.
  19.  George Polya How to Solve it 2nd ed.  p. 225-227.
  20. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 47.  
  21. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 88-90.
  22. Stephen Covey 7 Habits of Highly Effective People p. 75-76.
  23. Stephen Covey 6 Events p. 46.
  24. Stephen Covey 6 Events p. 60.
  25. Wilson, J. L., & Latterell, C. M. (2001).  Nerds? or Nuts? Pop culture portrayals of mathematicians.  ETC: A Review of General Semantics, 58(2), p. 172-178.
  26. Alta McDaniel http://voyager.cet.edu/iss/techcheck/techcheck1/altamcdaniel.html.
  27. Stephen Covey 6 Events p. 54.  
  28. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 89.  
  29. Kenneth Higbee Your Memory, How It Works & How to Improve It 2nd ed.  p. 64.
  30. Stephen Covey 7 Habits of Highly Effective People p. 26.
  31. David Burns The Feeling Good Handbook.
  32. Carol Dweck (1999).
  33. Dale Schunk (1984).
  34. Carol Dweck (1975).
  35. Examples given by Gary Lawlor in the Mathematics Education Department at Brigham Young University.
  37. D J Albers, G L Alexanderson and C Reid, More mathematical people.  Contemporary conversations (Boston, MA, 1990). 
  38. The Cognitive Model of Anxiety http://www.habitsmart.com/anx.html
  39. Daniel Solow How to Read and Do Proofs  4e  (Inside cover).
  40. Arthur Engel Problem-Solving Strategies.
  41. Alan H. Schoenfeld Mathematical Problem Solving  p. 94-144.
  44. Terrence Tao Solving Mathematical Problems  p. 4-5.
  45. Biography of Mike Vance at Creative Thinking Association of America.
  47. Eric Schechter http://www.math.vanderbilt.edu/~schectex/commerrs/
  48. Alan H. Schoenfeld  Mathematical Problem Solving  p. 43.
  49. Alan H. Schoenfeld Mathematical Problem Solving  p. 63-68.
  50. Nova Solving Fermat: Andrew Wiles.
  51. Alan H. Schoenfeld Mathematical Problem Solving.
  52. George Polya How to Solve It.
  53. Steven Covey 7 Habits of Highly Effective People.
  54. Kenneth Kuttler  Calculus, Applications and Theory.

It would be helpful to people reading mathematics textbooks if authors of textbooks would include in their textbooks an explanation of:

1.  Possible ways a proof was created.  

2.  How a mathematician may have seen a theorem as true before the proof was found.  

3.  Common proving barriers in that field of mathematics and how to overcome them.  

4.  Common proving techniques in that field of mathematics.  

5.  Possible generalizations of a theorem and why some generalizations do not work.  

6.  Possible motivations for definitions.  

7.  Similarities of the mathematics to other fields of mathematics.  

8.  An explanation of proofs, explanations of why certain definitions holding empower you to manipulate the mathematics.  

9.  How to manipulate mathematics when definitions hold.  

10.  Motivations for axioms, how those axioms give desired mathematical properties, and how those axioms give power to manipulate mathematics.