Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 3:   Mathematics Education Essays/
  4.    wt: 1:   Archives/
  5.    wt: 1:   Mathematics Skills Year by Year/
  6.    wt: 1:   6 Trigonometry first steps/
  7.    wt: 1:   Step 4 Gaussian Elimination/
  8.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  9.    wt: 1:   Mathematics 506 Lessons/
  10.    wt: 1:   Mathematics Skill Development Framework/

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87 matches:

  1.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 3:   E LAMP Introduction Modern Mathematics
  3.    wt: 2:   K LAMP Musings Science Education
  4.    wt: 2:   J LAMP Introduction Extrinsic Origins
  5.    wt: 2:   I LAMP Introduction Study Habits
  6.    wt: 2:   H LAMP Introduction Instructional Concepts
  7.    wt: 2:   G LAMP Introduction Problem Solving Skills
  8.    wt: 2:   F LAMP Introduction Prerequisites
  9.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  10.    wt: 2:   Applied Maths Program14092009 POMME variant
  11.    wt: 2:   Mathematics Education Professors
  12.    wt: 2:   three goals for Mathematics Education
  13.    wt: 2:   02 20 mathematics education references
  14.    wt: 2:   Education in mathematics science and technology
  15.    wt: 2:   Leaner mathematics curriculum
  16.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  17.    wt: 2:   12 From Applied To Pure Mathematics
  18.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  19.    wt: 2:   Postscript B Mathematics Education References
  20.    wt: 1:   A Introduction Objectives
  21.    wt: 1:   Ramblings Introduction Algebra Essay
  22.    wt: 1:   Skills Chapter 0 Introduction
  23.    wt: 1:   11 pure mathematics
  24.    wt: 1:   7 logic review and decimals an odd combination
  25.    wt: 1:   3 Euclidean Geometry Leanly
  26.    wt: 1:   Math Ed if it must be short make it lean effective
  27.    wt: 1:   links Education Resources online
  28.    wt: 1:   modern education
  29.    wt: 1:   mathematics in context
  30.    wt: 1:   Education Reform Inconsistencies
  31.    wt: 1:   Secondary Three Mathematics
  32.    wt: 1:   Secondary Two Mathematics
  33.    wt: 1:   Secondary One Mathematics
  34.    wt: 1:   mathematics curriculum shifts
  35.    wt: 1:   04 29 New Mathematics Curriculum
  36.    wt: 1:   three aims for mathematics students
  37.    wt: 1:   mathematics instruction in general
  38.    wt: 1:   three kinds of reason in mathematics
  39.    wt: 1:   Four ways to improve education reform
  40.    wt: 1:   need for a mixed mathematics curriculum
  41.    wt: 1:   education an empirical art
  42.    wt: 1:   words for mathematics instructor
  43.    wt: 1:   chapitre 01 00 Introduction
  44.    wt: 1:   D Kirchoff First Law
  45.    wt: 1:   22 Student Centered Highschool Mathematics
  46.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  47.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  48.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  49.    wt: 1:   18 Primary School Mathematics
  50.    wt: 1:   16 Secondary Mathematics Tips
  51.    wt: 1:   12 Goals and Objectives For Mathematics
  52.    wt: 1:   11 Help and Defend Your Child or Teens Education
  53.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  54.    wt: 1:   4 Function notation in and beyond mathematics
  55.    wt: 1:   1 Geometric Introduction of Function Notation
  56.    wt: 1:   Introduction Reading Guide
  57.    wt: 1:   1 Degrees and Radians Introduction
  58.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  59.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  60.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  61.    wt: 1:   5 Algebraic Solutions Introduction
  62.    wt: 1:   7 Compound Interest Formula Introduction
  63.    wt: 1:   1 Squares and Square Roots Introduction
  64.    wt: 1:   1 Least Common Multiples LCM Introduction
  65.    wt: 1:   4 video Prime Factorization Introduction
  66.    wt: 1:   11 Place Value SI Standard International way
  67.    wt: 1:   18 Chain Rule Introduction
  68.    wt: 1:   1 Numerical introduction
  69.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  70.    wt: 1:   A1. Introduction
  71.    wt: 1:   Chapter 9 About First Courses in Calculus
  72.    wt: 1:   Chapter 1.Introduction
  73.    wt: 1:   Appendix E. How To Study Mathematics and Why
  74.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  75.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  76.    wt: 1:   Chapter 2 For and Against Mathematics
  77.    wt: 1:   Chapter 1 Introduction
  78.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  79.    wt: 1:   Chapter 1 Introduction
  80.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  81.    wt: 1:   R Why Learn Mathematics Skills
  82.    wt: 1:   O On Learning Mathematics and Science
  83.    wt: 1:   N Mathematics Prepare for College Studies
  84.    wt: 1:   Helping the Blind in Logic and Mathematics
  85.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  86.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  87.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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860 matches:

  1.    wt: 9:   K LAMP Musings Science Education
  2.    wt: 9:   J LAMP Introduction Extrinsic Origins
  3.    wt: 9:   I LAMP Introduction Study Habits
  4.    wt: 9:   H LAMP Introduction Instructional Concepts
  5.    wt: 9:   G LAMP Introduction Problem Solving Skills
  6.    wt: 9:   F LAMP Introduction Prerequisites
  7.    wt: 9:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 8:   A Introduction Objectives
  9.    wt: 8:   Ramblings Introduction Algebra Essay
  10.    wt: 8:   Skills Chapter 0 Introduction
  11.    wt: 7:   Appendix 2 primary school Arithmetic 01
  12.    wt: 7:   Appendix 1 primary and preschool mathematic
  13.    wt: 7:   Skills Chapter 5 Calculus
  14.    wt: 7:   Skills Chapter 4 Logic
  15.    wt: 7:   Ramblings Extrinsic numbers theory
  16.    wt: 7:   Skills Chapter 3 Algebra
  17.    wt: 7:   Skills Chapter 2 Geometry
  18.    wt: 7:   Skills Chapter 1 Arithmetic
  19.    wt: 6:   Applied Maths Program14092009 POMME variant
  20.    wt: 6:   Mathematics Education Professors
  21.    wt: 6:   three goals for Mathematics Education
  22.    wt: 6:   02 20 mathematics education references
  23.    wt: 6:   Education in mathematics science and technology
  24.    wt: 6:   Leaner mathematics curriculum
  25.    wt: 5:   11 pure mathematics
  26.    wt: 5:   7 logic review and decimals an odd combination
  27.    wt: 5:   3 Euclidean Geometry Leanly
  28.    wt: 5:   Math Ed if it must be short make it lean effective
  29.    wt: 5:   links Education Resources online
  30.    wt: 5:   modern education
  31.    wt: 5:   mathematics in context
  32.    wt: 5:   Education Reform Inconsistencies
  33.    wt: 5:   Secondary Three Mathematics
  34.    wt: 5:   Secondary Two Mathematics
  35.    wt: 5:   Secondary One Mathematics
  36.    wt: 5:   mathematics curriculum shifts
  37.    wt: 5:   04 29 New Mathematics Curriculum
  38.    wt: 5:   three aims for mathematics students
  39.    wt: 5:   mathematics instruction in general
  40.    wt: 5:   three kinds of reason in mathematics
  41.    wt: 5:   Four ways to improve education reform
  42.    wt: 5:   need for a mixed mathematics curriculum
  43.    wt: 5:   education an empirical art
  44.    wt: 5:   words for mathematics instructor
  45.    wt: 4:   10 statistics
  46.    wt: 4:   9 combinatorics probability sets
  47.    wt: 4:   8 analytic geometry etc
  48.    wt: 4:   6 polynomials etc
  49.    wt: 4:   5 logarithms and exponentials etc
  50.    wt: 4:   4 algebra
  51.    wt: 4:   2 arithmetic with signed numbers
  52.    wt: 4:   1 arithmetic with unsigned numbers
  53.    wt: 4:   What is POMME
  54.    wt: 4:   why bother
  55.    wt: 4:   which way to go
  56.    wt: 4:   website reviews
  57.    wt: 4:   three goals to set for students
  58.    wt: 4:   Teach the teachers plus goals
  59.    wt: 4:   permissions for teachers
  60.    wt: 4:   activities for students
  61.    wt: 4:   site origins
  62.    wt: 4:   site eurekas
  63.    wt: 4:   About site lesson plans
  64.    wt: 4:   key notes and themes
  65.    wt: 4:   teacher certification
  66.    wt: 4:   learning takes time
  67.    wt: 4:   grouping students according to ability
  68.    wt: 4:   what should be learnt and When
  69.    wt: 4:   Postscript 2007 01 10
  70.    wt: 4:   five decades make a difference
  71.    wt: 4:   Maps Plans Drawings
  72.    wt: 4:   how letters appear
  73.    wt: 4:   talk the algebra talk
  74.    wt: 4:   three difficulties
  75.    wt: 4:   teaching tips
  76.    wt: 4:   What to Tell Students
  77.    wt: 4:   geometric implications for algebra
  78.    wt: 4:   teaching tutoring algebraic reason
  79.    wt: 4:   Lessening Algebra Difficulties
  80.    wt: 4:   the trouble with algebra
  81.    wt: 4:   05 13 OldSiteEntrancePage
  82.    wt: 4:   04 25 when to stop or suspend mathemat
  83.    wt: 4:   02 21 words for teachers
  84.    wt: 4:   standards for course material
  85.    wt: 4:   Operational Viewpoint to Value
  86.    wt: 4:   formal or informal peer review
  87.    wt: 4:   Theory of Knowledge
  88.    wt: 4:   Different Kinds of Reasoning in maths
  89.    wt: 4:   cultivating intelligence
  90.    wt: 4:   How to be a better instructor
  91.    wt: 4:   Motivation and Context Problem
  92.    wt: 4:   Prequel In For A Penny In For A Pound
  93.    wt: 4:   fairness and inductive principles for instruction
  94.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  95.    wt: 4:   Postscript B Mathematics Education References
  96.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  97.    wt: 3:   12 From Applied To Pure Mathematics
  98.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  99.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  100.    wt: 3:   Chapter 2 For and Against Mathematics
  101.    wt: 3:   Chapter 1 Introduction
  102.    wt: 3:   Helping the Blind in Logic and Mathematics
  103.    wt: 2:   chapitre 01 00 Introduction
  104.    wt: 2:   D Kirchoff First Law
  105.    wt: 2:   22 Student Centered Highschool Mathematics
  106.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  107.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  108.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  109.    wt: 2:   18 Primary School Mathematics
  110.    wt: 2:   16 Secondary Mathematics Tips
  111.    wt: 2:   12 Goals and Objectives For Mathematics
  112.    wt: 2:   11 Help and Defend Your Child or Teens Education
  113.    wt: 2:   Ages 8 to 9
  114.    wt: 2:   Ages 7 to 8
  115.    wt: 2:   Ages 6 to 7
  116.    wt: 2:   Ages 4 plus to 5 plus
  117.    wt: 2:   Ages 3 plus to 4 plus
  118.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  119.    wt: 2:   4 Function notation in and beyond mathematics
  120.    wt: 2:   1 Geometric Introduction of Function Notation
  121.    wt: 2:   Introduction Reading Guide
  122.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  123.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  124.    wt: 2:   8 Triangles Cascade Problem Solving
  125.    wt: 2:   7 Trignometric Ratios Unit Circle
  126.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  127.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  128.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  129.    wt: 2:   3 Trigonometric Ratios sine and cosine
  130.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  131.    wt: 2:   1 Angle Measurement with Degrees
  132.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  133.    wt: 2:   4 GE III Animated Examples
  134.    wt: 2:   3 GE III Equation Addition and Multiplication
  135.    wt: 2:   2 GE II Comparison
  136.    wt: 2:   1 GE Substitution four examples
  137.    wt: 2:   5 Algebraic Solutions Introduction
  138.    wt: 2:   7 Compound Interest Formula Introduction
  139.    wt: 2:   11 Place Value SI Standard International way
  140.    wt: 2:   18 Chain Rule Introduction
  141.    wt: 2:   1 Numerical introduction
  142.    wt: 2:   A1. Introduction
  143.    wt: 2:   Chapter 9 About First Courses in Calculus
  144.    wt: 2:   Chapter 1.Introduction
  145.    wt: 2:   Appendix E. How To Study Mathematics and Why
  146.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  147.    wt: 2:   Annotated Links to Material Elsehwere
  148.    wt: 2:   Postscript A Three Remarks
  149.    wt: 2:   Chapter 12 Four Phases
  150.    wt: 2:   Chapter 11 Elementary Instruction
  151.    wt: 2:   Chapter 10 Transition
  152.    wt: 2:   Chapter 9 The Two Ends
  153.    wt: 2:   Chapter 8 Modern Instruction
  154.    wt: 2:   Chapter 7 Two Treatments of Geometry
  155.    wt: 2:   Chapter 5 Four References
  156.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  157.    wt: 2:   Chapter 3 Algebra Difficulties
  158.    wt: 2:   Foreword
  159.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  160.    wt: 2:   Chapter 1 Introduction
  161.    wt: 2:   R Why Learn Mathematics Skills
  162.    wt: 2:   O On Learning Mathematics and Science
  163.    wt: 2:   N Mathematics Prepare for College Studies
  164.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  165.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  166.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  167.    wt: 2:   Implementation Notes
  168.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  169.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  170.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  171.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  172.    wt: 2:   Which Way To Go
  173.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  174.    wt: 1:   chapitre 12 00 les iles et division
  175.    wt: 1:   chapitre 07 01 principle D induction mathematique
  176.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  177.    wt: 1:   chapitre 06 00 Chaines de la raison
  178.    wt: 1:   chapitre 05 00 Deception
  179.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  180.    wt: 1:   chapitre 04 09 Regles accidentelles
  181.    wt: 1:   chapitre 04 08 Limitations et benefices
  182.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  183.    wt: 1:   chapitre 04 06 engagements
  184.    wt: 1:   chapitre 04 05 Implication versus suggestion
  185.    wt: 1:   chapitre 04 04 Parlons de la logique
  186.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  187.    wt: 1:   chapitre 04 02 Deuxieme enigme
  188.    wt: 1:   chapitre 04 01 Premiere enigme
  189.    wt: 1:   chapitre 04 00 Les regles d implication
  190.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  191.    wt: 1:   chapitre 02 00 La Communication des idees
  192.    wt: 1:   liens
  193.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  194.    wt: 1:   problemes responses
  195.    wt: 1:   problemes algebre et arithmetique
  196.    wt: 1:   Trois Notions qui menent a algebre
  197.    wt: 1:   deux definitions pour variable
  198.    wt: 1:   logique deux enigme
  199.    wt: 1:   4 Energy Power Heat09
  200.    wt: 1:   3 Energy Power Heat08
  201.    wt: 1:   2 Energy Power Heat07
  202.    wt: 1:   1 Energy Power Heat06
  203.    wt: 1:   E Energy Power05
  204.    wt: 1:   D Energy Power04
  205.    wt: 1:   C Energy Power03
  206.    wt: 1:   B Energy Power02
  207.    wt: 1:   A Energy Power01
  208.    wt: 1:   2 Conductance Resistance Duality02
  209.    wt: 1:   1 Conductance Resistance Duality01
  210.    wt: 1:   F Wire Resistance Calculation04
  211.    wt: 1:   E Wire Resistance Calculation03
  212.    wt: 1:   D Wire Resistance Calculation02
  213.    wt: 1:   C Wire Resistance Calculation01
  214.    wt: 1:   B Wire Resistance Qualitative02
  215.    wt: 1:   A Wire Resistance Qualitative01
  216.    wt: 1:   3 Like resistors in parallel
  217.    wt: 1:   2 Unlike resistors in parallel01
  218.    wt: 1:   1 Like resistors in series
  219.    wt: 1:   H Series Circuit02
  220.    wt: 1:   G Series Circuit01
  221.    wt: 1:   F Unlike Resistors in Series
  222.    wt: 1:   E Kirchoffs Second Law
  223.    wt: 1:   C Electromotive force conventional current02
  224.    wt: 1:   B Electromotive force conventional current01
  225.    wt: 1:   A Circuit Elements
  226.    wt: 1:   Home Tutoring and Home Schooling
  227.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  228.    wt: 1:   24 Standards For Skill Develoment Take II
  229.    wt: 1:   24 Standards For Skill Develoment
  230.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  231.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  232.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  233.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  234.    wt: 1:   17 Math Booklets for children and young teenagers
  235.    wt: 1:   15 Counting For Parents
  236.    wt: 1:   14 Multiplication and Times Tables
  237.    wt: 1:   13 Addition and Addition Tables
  238.    wt: 1:   10 Ends values for work study instruction
  239.    wt: 1:   9 Streaming by Student Cooperation
  240.    wt: 1:   8 The Effect of Negative Remarks
  241.    wt: 1:   7 Student Motivation
  242.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  243.    wt: 1:   5 Patience Please for Yourself and Your Charges
  244.    wt: 1:   4 Learning Takes Time and Effort
  245.    wt: 1:   3 Preparing for Science Studies
  246.    wt: 1:   2 Reading and Writing Skills
  247.    wt: 1:   1 Speaking Skills
  248.    wt: 1:   Ages 12 to 14 Skills with take home value
  249.    wt: 1:   Ages 12 to 14 Geometry
  250.    wt: 1:   Ages 12 to 14 Arithmetic
  251.    wt: 1:   Ages 10 to 12 Geometry
  252.    wt: 1:   Ages 10 to 12 Arithmetic
  253.    wt: 1:   Ages 9 to 10
  254.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  255.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  256.    wt: 1:   sign monoticity analysis example 4
  257.    wt: 1:   sign monoticity analysis example 3
  258.    wt: 1:   sign monoticity analysis example 2
  259.    wt: 1:   sign monoticity analysis example 1
  260.    wt: 1:   26 Function definitions done and coming
  261.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  262.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  263.    wt: 1:   23 Inverse Functions
  264.    wt: 1:   22 Square Root function graphically
  265.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  266.    wt: 1:   20 Interchanging coordinates a reflection
  267.    wt: 1:   19 Horizontal line rule and method
  268.    wt: 1:   18 Vertical Line Rule and Method
  269.    wt: 1:   17 Function maxima minima and their location
  270.    wt: 1:   16 Increasing or decreasing on intervals
  271.    wt: 1:   15 Sign analysis of functions
  272.    wt: 1:   14 Surjections Injections Bijections
  273.    wt: 1:   13 From one to one to many to one
  274.    wt: 1:   12 Function Domain Recognition Exercises
  275.    wt: 1:   11 Function Domain Range Source and Targets
  276.    wt: 1:   10 Interval Notation
  277.    wt: 1:   9 Set theory term relation possible origins
  278.    wt: 1:   8 Set view of relations and functions
  279.    wt: 1:   7 Functions with finite domains
  280.    wt: 1:   6 Set Existence Formation and Notation
  281.    wt: 1:   5 Function notation for geometric transformations
  282.    wt: 1:   3 Formula or function graphing exercise
  283.    wt: 1:   2 Algebraic use of function notation
  284.    wt: 1:   10 quadratic exercises
  285.    wt: 1:   9 quadratics physical and further context
  286.    wt: 1:   8 quadratics backward use of various formulas
  287.    wt: 1:   6 quadratics numerical approach
  288.    wt: 1:   4 quadratics difference of two squares
  289.    wt: 1:   1 quadratics graphing exercises
  290.    wt: 1:   Quadratics in 10 steps
  291.    wt: 1:   11 Growth and Decay in Biology
  292.    wt: 1:   5 Natural Logarithm Calculator Exercises
  293.    wt: 1:   1 Calculator Starter Exercises
  294.    wt: 1:   8 Notes for instructors or tutors
  295.    wt: 1:   7 Links Lessons Elsewhere
  296.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  297.    wt: 1:   4 Polynomials Long division linear divisor
  298.    wt: 1:   3 Polynomials Multiplication Addition
  299.    wt: 1:   2 Column Multiplication Method
  300.    wt: 1:   1 Polynomials Distributive Law
  301.    wt: 1:   Rewriting algebraic substitution as function substitutions
  302.    wt: 1:   16 cotangent function Definition Graph and Inverse
  303.    wt: 1:   15 cosecant function Definition Graph and Inverse
  304.    wt: 1:   14 secant function Definition Graph and Inverse
  305.    wt: 1:   13 cosecant function Definition Graph and Inverse
  306.    wt: 1:   12 motivation for term arctan
  307.    wt: 1:   11 arctan left inverse of tangent Graph
  308.    wt: 1:   10 arctan left inverse of tangent Definition
  309.    wt: 1:   9 motivation for name arcsin
  310.    wt: 1:   8 arcsin left inverse of sine Graph
  311.    wt: 1:   7 arcsin left inverse of sine Definition
  312.    wt: 1:   6 Graph of arccos function
  313.    wt: 1:   5 Swapping Coordinates is a reflection
  314.    wt: 1:   4 possible motivation for term arccos
  315.    wt: 1:   3 Left Inverse of cosine arccos definition
  316.    wt: 1:   2 cosine function more properties
  317.    wt: 1:   1 cosine function properties
  318.    wt: 1:   9 Summary Degrees to Radians and back
  319.    wt: 1:   8 Radian Measures of Common Angles
  320.    wt: 1:   7 Radian Measures in special Triangles
  321.    wt: 1:   6 Radian Measure to Degrees
  322.    wt: 1:   5 Degrees to Radian Measure
  323.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  324.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  325.    wt: 1:   1 Degrees and Radians Introduction
  326.    wt: 1:   A Global Time and Navigation
  327.    wt: 1:   15 Dot and Cross Product
  328.    wt: 1:   13 Velocity Vectors in Physics
  329.    wt: 1:   11 Component Method
  330.    wt: 1:   10 Parallelogram Addition Method
  331.    wt: 1:   9 Head to Tail Coordinate View
  332.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  333.    wt: 1:   6 Vectors with Coordinates
  334.    wt: 1:   5 Head To Tail Arrow Addition
  335.    wt: 1:   4 Resultant of a Sum of Movements
  336.    wt: 1:   3 Navigation with Arrows or Vectors
  337.    wt: 1:   2 Signed Coordinates
  338.    wt: 1:   1 Unsigned Coordinates
  339.    wt: 1:   Vector and Complex Number Applet
  340.    wt: 1:   4 graphing y=Asin(x c)
  341.    wt: 1:   3 graphing y=f(x c) plus K
  342.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  343.    wt: 1:   1 graphing y=f(x a)
  344.    wt: 1:   Parallel Lines and Parallel Transversals
  345.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  346.    wt: 1:   Triangle Angles Sum To 180 Degrees
  347.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  348.    wt: 1:   Parallel Lines and Interior Angles
  349.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  350.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  351.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  352.    wt: 1:   Straight Lines ASA Intersection Study More
  353.    wt: 1:   Straight Lines ASA Intersection Study
  354.    wt: 1:   Straight Lines Instersection Solving Equations
  355.    wt: 1:   Straight Lines Intersection of
  356.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  357.    wt: 1:   C Straight Lines Slope from Coordinates
  358.    wt: 1:   B Straight Line Slope Scaling Properties More
  359.    wt: 1:   A Straight Line Slope Scaling Properties
  360.    wt: 1:   14 Straight Lines Equations General Case
  361.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  362.    wt: 1:   12 Straight Lines Graphing mx plus b
  363.    wt: 1:   11 Straight Lines Graphing y=mx
  364.    wt: 1:   10 Straight Lines through Origin Equations More
  365.    wt: 1:   9 Straight Lines through Origin Equations
  366.    wt: 1:   8 Straight Lines Equation for vertical
  367.    wt: 1:   7 Tangent Function is odd on this domain
  368.    wt: 1:   5 Tangent Function Graph
  369.    wt: 1:   4 Tangent Function Properties
  370.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  371.    wt: 1:   1 Straight Lines Slope Concept
  372.    wt: 1:   17 tangent function angle sum formulas
  373.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  374.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  375.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  376.    wt: 1:   32 seven rows of pascals triangle
  377.    wt: 1:   31 basic secant cosecant cotangent trig identities
  378.    wt: 1:   30 unit circle calculation of six trigonometric functions
  379.    wt: 1:   29 secant cosecant and cotangent for acute angles
  380.    wt: 1:   28 Expressing products of sines cosines as sums
  381.    wt: 1:   27 Logarithmic use of products of sines and cosines
  382.    wt: 1:   26 Formulas for products of sines and cosines
  383.    wt: 1:   25 tangent double angle formula Slope connection
  384.    wt: 1:   24 tangent Angle Difference Formula
  385.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  386.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  387.    wt: 1:   21 sine and cosine Half Angle Formulas
  388.    wt: 1:   20 sine and cosine Double Angle Formulas
  389.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  390.    wt: 1:   18 sum of sinusoidal waves as a single wave
  391.    wt: 1:   16 Right Triangle Complementary Angle Relations
  392.    wt: 1:   15 sine cosine Complementary Angle Relations
  393.    wt: 1:   14 cosine even and sine and tangent are odd
  394.    wt: 1:   13 Graph of tangent function many periods
  395.    wt: 1:   12 Graph of tangent function for one period
  396.    wt: 1:   11 tangent function undefined when terminal side vertical
  397.    wt: 1:   10 Graphs of sines and cosines many periods
  398.    wt: 1:   9 Graphs of sine and cosine over one period
  399.    wt: 1:   8 period of tangent function
  400.    wt: 1:   7 period of sine and cosine
  401.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  402.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  403.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  404.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  405.    wt: 1:   2 Quadrant I reference Angles
  406.    wt: 1:   1 Unit Points Reflections Rotations
  407.    wt: 1:   Unit Circle Development of Trigonometry
  408.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  409.    wt: 1:   19 N th Roots of Unity
  410.    wt: 1:   18 Sixth Roots of Unity
  411.    wt: 1:   17 Cube Roots of unity
  412.    wt: 1:   16 References and Originality Question
  413.    wt: 1:   8 Unit Circle Development of Trigonometry
  414.    wt: 1:   6 Field Properties of Complex Number
  415.    wt: 1:   4 Multiplication Properties
  416.    wt: 1:   3 Addition Properties
  417.    wt: 1:   1 Rectangular Polar Coordinates Review
  418.    wt: 1:   Appetizer A Complex Number Applet
  419.    wt: 1:   Why Trigonometry the whyslopes view
  420.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  421.    wt: 1:   12 Triangles Similarity More Problems
  422.    wt: 1:   11 Triangle Similarity Missing Side Problem
  423.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  424.    wt: 1:   9 Similarity of Triangles Usual Criteria
  425.    wt: 1:   8 Similarity of Triangles and Polygons
  426.    wt: 1:   7 Translations Rotations Reflections Dilatations
  427.    wt: 1:   6 Geometric Diagrams in Class
  428.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  429.    wt: 1:   4 Similarity Definition with Coordinate
  430.    wt: 1:   3 Similarity by Design with coordinates
  431.    wt: 1:   2 Similarity By Design
  432.    wt: 1:   1 Early Concept of Like or Similar Shapes
  433.    wt: 1:   Four Simple Exercises
  434.    wt: 1:   12 Links Lessons elsewhere
  435.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  436.    wt: 1:   8 Mid Point Formula
  437.    wt: 1:   7 Exercises to test skill and concept mastery
  438.    wt: 1:   6 Intersection of lines by solving linear systems
  439.    wt: 1:   5 Algebraic View of Slopes
  440.    wt: 1:   2 point slope equation for a line
  441.    wt: 1:   1 Numerical view of lines and their equations
  442.    wt: 1:   What is and is not here
  443.    wt: 1:   13 Pythagorean spatial distance formulas
  444.    wt: 1:   12 Spatial Coordinates
  445.    wt: 1:   11 Triangle Inequality
  446.    wt: 1:   10 Pythagorean plane distance formula
  447.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  448.    wt: 1:   7 Complex Numbers Appetizer
  449.    wt: 1:   6 Polar Multiplication and Rotation
  450.    wt: 1:   5 Cartesian Addition and Translation
  451.    wt: 1:   4 Polar Coordinates to and from
  452.    wt: 1:   3 Rectangular Coordinates Review
  453.    wt: 1:   2 Cartesian Coordinates with signs
  454.    wt: 1:   1 Cartesian Coordinates sans signs
  455.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  456.    wt: 1:   PS H Distributive Law For Complex Numbers
  457.    wt: 1:   PS G Rotation Distributes over Addition
  458.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  459.    wt: 1:   PS E Multiplication with Polar Coordinates
  460.    wt: 1:   PS D Addition with Cartesian Coordinates
  461.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  462.    wt: 1:   PS B Parallelogram Construction Methods
  463.    wt: 1:   PS A Kite Construction Methods
  464.    wt: 1:   21 Parallelograms
  465.    wt: 1:   19 Right Triangle Similarity
  466.    wt: 1:   18 Triangle Similarity Take 1
  467.    wt: 1:   17 Right Bisectors of Triangle Sides
  468.    wt: 1:   16 Angles Subtended By Chords and Diameters
  469.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  470.    wt: 1:   14 Parallel Lines Postulate
  471.    wt: 1:   13 Angle Side Angle Failure
  472.    wt: 1:   12 Side Angle Side Failure
  473.    wt: 1:   11 Triangle Construction Fails
  474.    wt: 1:   10 Dropping a perpendicular to line
  475.    wt: 1:   9 Construction of a right bisector
  476.    wt: 1:   8 Isoceles Triangles
  477.    wt: 1:   7 Angle Side Angle
  478.    wt: 1:   6 Ruler and compass Angle Bisection
  479.    wt: 1:   5 Side Angle Side
  480.    wt: 1:   4 Side Side Side
  481.    wt: 1:   3 Isometry of Triangles Congruence
  482.    wt: 1:   2 Correspondence between Triangles
  483.    wt: 1:   1 Initial Concepts and Terms
  484.    wt: 1:   Short Course on Euclidean Geometry
  485.    wt: 1:   A Measurement with Ruler Proper Use
  486.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  487.    wt: 1:   6 Figuring with Maps Not to Scale
  488.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  489.    wt: 1:   4 Angles on Maps Plans drawn to scale
  490.    wt: 1:   3 Lengths and Areas on Maps and Plans
  491.    wt: 1:   2 Measuring Area Directly
  492.    wt: 1:   1 Length Measurement
  493.    wt: 1:   About Folder Contents
  494.    wt: 1:   musings do not puiblish real numbers
  495.    wt: 1:   A Modular and Remainder Arithmetic
  496.    wt: 1:   A Signed Number Arithmetic Review
  497.    wt: 1:   26 More Less Greater Than Comparison
  498.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  499.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  500.    wt: 1:   23 Distributive Law Two Derivations
  501.    wt: 1:   22 Multiplication of Signed Numbers
  502.    wt: 1:   21 Addition of Multiples of a Single Vector
  503.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  504.    wt: 1:   19 Signed Multiples of Vectors
  505.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  506.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  507.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  508.    wt: 1:   15 Head to Tails in place Addition Associative
  509.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  510.    wt: 1:   13 Arrows and Vectors in a Plane
  511.    wt: 1:   12 Real Numbers Line Signed Coordinates
  512.    wt: 1:   11 Signed Number Addition and Addition Properties
  513.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  514.    wt: 1:   9 Division with Digits after Decimal Point
  515.    wt: 1:   8 Division and Mulplication of Compound Fractions
  516.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  517.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  518.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  519.    wt: 1:   4 Location of Point in Decimal Addition
  520.    wt: 1:   3 Location of Point in Decimal Multiplication
  521.    wt: 1:   2 Counting Digits in Decimal Multiplication
  522.    wt: 1:   1 Fractions with Finite Decimal Expansions
  523.    wt: 1:   E Long Division Methods more
  524.    wt: 1:   D Long Division Methods
  525.    wt: 1:   C Three Decimal Subtraction Methods
  526.    wt: 1:   B Decimal Comparison and Subtraction
  527.    wt: 1:   A Decimal Addition Columm Methods
  528.    wt: 1:   8 Column Multiplication Methods in General
  529.    wt: 1:   7 Decimals Multiplication Methods Examples
  530.    wt: 1:   6 Column Methods for Decimal Multiplication
  531.    wt: 1:   5 Distributive Law for Whole Numbers
  532.    wt: 1:   4 Commutative Law Groups Counting Form
  533.    wt: 1:   3 Multiplicative Counting Skills Principles
  534.    wt: 1:   2 Combing Counts Addition Skills and Principles
  535.    wt: 1:   1 The Counting Origins of Numbers
  536.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  537.    wt: 1:   5 Proportionality in Equivalent Fractions
  538.    wt: 1:   4 Rates Ratios and Proporitionality
  539.    wt: 1:   3 Proportionality Examples
  540.    wt: 1:   2 Algebraic View
  541.    wt: 1:   1 What is Proportionality
  542.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  543.    wt: 1:   6 Compound Interest Forward and Backwards
  544.    wt: 1:   3 Linear Equation Literal Solution More
  545.    wt: 1:   2 Linear Equation Literal Solution
  546.    wt: 1:   5 Greater More Less Than Signs in General
  547.    wt: 1:   4 Comparison of Negative Numbers
  548.    wt: 1:   3 More and Less Than with Unlike Signs
  549.    wt: 1:   2 More and Less Than for Counts and Measures
  550.    wt: 1:   12 Real Number Additive Inverses or Negatives
  551.    wt: 1:   10 Real Number Lengths and Signs
  552.    wt: 1:   9 Coordinates for Regions in Space
  553.    wt: 1:   5 Independent versus Dependent Variables
  554.    wt: 1:   More Exercises
  555.    wt: 1:   Simple Exercises
  556.    wt: 1:   4 Solving a triangular system exercise
  557.    wt: 1:   3 Solving triangular system example
  558.    wt: 1:   2 Essentially one exercises three with solution
  559.    wt: 1:   1 Essentially One Unknown
  560.    wt: 1:   6 Algebraic Solution Example
  561.    wt: 1:   4 Four Examples Fractional Coefficients
  562.    wt: 1:   3 Four Examples
  563.    wt: 1:   2 Three Examples
  564.    wt: 1:   Skill Development Notes
  565.    wt: 1:   10 One Example
  566.    wt: 1:   9 Three Examples
  567.    wt: 1:   8 One Example
  568.    wt: 1:   7 Two Examples
  569.    wt: 1:   6 Three Examples
  570.    wt: 1:   5 Three Examples
  571.    wt: 1:   4 Two Examples
  572.    wt: 1:   3 Two Examples
  573.    wt: 1:   2 Three Examples
  574.    wt: 1:   Using Letters for Physical Quantities
  575.    wt: 1:   13 Naming Identifying Formulas with Words
  576.    wt: 1:   11 Volume of Sphere
  577.    wt: 1:   10 Volume of Pyramid
  578.    wt: 1:   9 Volume of Cone
  579.    wt: 1:   8 Compound Interest Formula Evaluation
  580.    wt: 1:   9 Sets in Probability and Statistics
  581.    wt: 1:   7 Cautious or Safe Set Construction
  582.    wt: 1:   2 Venn Diagrams
  583.    wt: 1:   6 Three Notions of What is a Variable
  584.    wt: 1:   4 A Brief Story of numbers and algebra
  585.    wt: 1:   3 Adding Words To Arithmetic
  586.    wt: 1:   2 What is a Variable
  587.    wt: 1:   About Folder Contents
  588.    wt: 1:   arithmetic videos Real Player Format
  589.    wt: 1:   4 Greater More Less Than Signs in General
  590.    wt: 1:   3 Comparison of Negative Numbers
  591.    wt: 1:   2 More and Less Than with Unlike Signs
  592.    wt: 1:   1 More and Less Than for Counts and Measures
  593.    wt: 1:   1 Squares and Square Roots Introduction
  594.    wt: 1:   1 Least Common Multiples LCM Introduction
  595.    wt: 1:   7 negative and additive inverse
  596.    wt: 1:   6 adding signed numbers
  597.    wt: 1:   5 lengths and signs of numbers
  598.    wt: 1:   4 signed coordinates for regions in space
  599.    wt: 1:   7 Converting or Changing Units
  600.    wt: 1:   6 Simplification of Fractions with Units
  601.    wt: 1:   4 Fractions with Units
  602.    wt: 1:   3 Multiplying Units and Numbers
  603.    wt: 1:   2 Equality and Units
  604.    wt: 1:   1 Addition and Subtraction with Units
  605.    wt: 1:   D Three Term Ratios
  606.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  607.    wt: 1:   B Fractions and Two Term Ratios
  608.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  609.    wt: 1:   21 Working With Signs
  610.    wt: 1:   21 Reciprocals for Fractions and Wholes
  611.    wt: 1:   20 Dividing Fractions the Why
  612.    wt: 1:   19 Dividing Fractions How TO
  613.    wt: 1:   18 Efficient Ways to Multiply
  614.    wt: 1:   17 Efficient Ways to Add and Subtract
  615.    wt: 1:   16 Addition Subtraction Comparision Compared
  616.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  617.    wt: 1:   14 Adding and Subtracting with Like Denominators
  618.    wt: 1:   13 Fraction Comparison Algebraic View
  619.    wt: 1:   12 Fraction Comparison
  620.    wt: 1:   11 Simplification an Algebraic View
  621.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  622.    wt: 1:   9 Improper Fractions and Mixed Numbers
  623.    wt: 1:   8 Numerals Fractionals Quantals Take II
  624.    wt: 1:   7 Numerals Fractionals Quantals
  625.    wt: 1:   6 Multiplication Algebraically Take II
  626.    wt: 1:   5 Equivalent Fractions
  627.    wt: 1:   4 Fraction Multiplication
  628.    wt: 1:   3 Unit fraction of a fraction
  629.    wt: 1:   2 Unit Fraction Multiplication
  630.    wt: 1:   1 What is a fraction Take II
  631.    wt: 1:   1 What is a fraction
  632.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  633.    wt: 1:   B Integer Long Division Multiple Choices
  634.    wt: 1:   A Associative Law Theorectical Note
  635.    wt: 1:   12 Adding Integers More Examples
  636.    wt: 1:   11 Adding Integers Formulas and Examples
  637.    wt: 1:   9 Multiplying Integers
  638.    wt: 1:   8 Multiplication by Signed Numbers Integers
  639.    wt: 1:   7 Multiplication by Signs
  640.    wt: 1:   6 Multiplication by Natural Numbers
  641.    wt: 1:   5 Zero Movement and Additive Inverses
  642.    wt: 1:   4 Adding Movements wiht opposite directions
  643.    wt: 1:   3 Adding Movements with same direction
  644.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  645.    wt: 1:   1 Integers as Coordinates
  646.    wt: 1:   20 Uniqueness of Prime Factorization
  647.    wt: 1:   17 Identify and Count Factors using Primes
  648.    wt: 1:   12 LCD GCD and LCM using Primes
  649.    wt: 1:   11 Efficient Square Rule Use
  650.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  651.    wt: 1:   4 video Prime Factorization Introduction
  652.    wt: 1:   2 Prime and Composites less than 16
  653.    wt: 1:   12 Why Long Division Works Take III
  654.    wt: 1:   11 Another Single Digit Divisor Example
  655.    wt: 1:   10 Division by Five Long and Short Ways
  656.    wt: 1:   9 Why Long Division Works Take II
  657.    wt: 1:   8 Correcting the Mistake
  658.    wt: 1:   7 Long Divison Mistake Catching
  659.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  660.    wt: 1:   5 Long Division Include Zeroes or not
  661.    wt: 1:   4 Division with 2 Digit Divsors
  662.    wt: 1:   3 Division Single Digit Divisor Example
  663.    wt: 1:   2 Division with Single Digit Divisors
  664.    wt: 1:   1 Divsion Physical Examples
  665.    wt: 1:   D Decimal Multiplication Methods Derived
  666.    wt: 1:   C Counting Areas with Powers of Ten
  667.    wt: 1:   B Powers of Ten
  668.    wt: 1:   A Elementary Basis for Multiplication Methods
  669.    wt: 1:   6 Multiplication Commutes Order Not Important
  670.    wt: 1:   4 Two and Three Digit Multipliers
  671.    wt: 1:   3 More One Digit Multipliers
  672.    wt: 1:   2 One Digit Multipliers
  673.    wt: 1:   1 Why 3 times 5 gives 15
  674.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  675.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  676.    wt: 1:   9 22 Minute Subtraction Review Video
  677.    wt: 1:   8 Subtraction with Units of Measure
  678.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  679.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  680.    wt: 1:   5 A Tip for Efficent Subtraction
  681.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  682.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  683.    wt: 1:   2 Subtraction Easy Case Examples
  684.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  685.    wt: 1:   8 What skills and work habits to require
  686.    wt: 1:   7 Adding decimal fractions using decimal point
  687.    wt: 1:   6. Counting and adding units and mixed units
  688.    wt: 1:   5. How to add decimals C. Examples
  689.    wt: 1:   4. How to add with decimals B with conversions
  690.    wt: 1:   3. How to add with decimals A sans conversions
  691.    wt: 1:   2 Decimal Counting Practices
  692.    wt: 1:   1. Explaining Addition Table
  693.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  694.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  695.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  696.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  697.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  698.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  699.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  700.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  701.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  702.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  703.    wt: 1:   Quick history of numbers and algebra
  704.    wt: 1:   Exact Arithmetic Wholes and Fractions
  705.    wt: 1:   The 20 Times Table
  706.    wt: 1:   The 12 Times Table Visually
  707.    wt: 1:   About folder contents
  708.    wt: 1:   016 Numbering Occidental Calendar Days
  709.    wt: 1:   015 School and work day counting tables
  710.    wt: 1:   014 Counting Days with Calendars
  711.    wt: 1:   013 Travel Time Tables
  712.    wt: 1:   012 Division of Time Intervals by Time Intervals
  713.    wt: 1:   011 Division of Time Intervals By Numbers
  714.    wt: 1:   010 Repeated Addition of Time Intervals
  715.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  716.    wt: 1:   8 Addition of Time Intervals via subtotaling
  717.    wt: 1:   7 Addition of Time Intervals
  718.    wt: 1:   5 Conversion Arithmetic
  719.    wt: 1:   4 Mixing and Changing Units of Time
  720.    wt: 1:   3 Units and Lengths of Time
  721.    wt: 1:   2 Time and Date Matters in School
  722.    wt: 1:   1 Intro of Kids To Time Date Skills
  723.    wt: 1:   A Related Material in Volume 3
  724.    wt: 1:   5 Area Under Curve Exercise
  725.    wt: 1:   A Related lessons in Volume 3
  726.    wt: 1:   3 Second derivative test
  727.    wt: 1:   2 Second derivative test prequel
  728.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  729.    wt: 1:   A Chain Rule Real Player video examples
  730.    wt: 1:   36 Cube root derivative animated
  731.    wt: 1:   33 Chain Rule Real Player video examples
  732.    wt: 1:   30Chain Rule A Proof
  733.    wt: 1:   29 Chain Rule Optional Reading
  734.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  735.    wt: 1:   25 Chain Rule Animated Examples Continued
  736.    wt: 1:   24 Chain Rule Animated Examples
  737.    wt: 1:   20 Chain Rule for Pulley Systems
  738.    wt: 1:   17 Derivatives of quotients of sine and cosine
  739.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  740.    wt: 1:   12 Quotient rule examples
  741.    wt: 1:   11 Quotient rule
  742.    wt: 1:   10 Power rule for negative integers
  743.    wt: 1:   9 Reciprocal rule
  744.    wt: 1:   7 Animated Differentiation Examples
  745.    wt: 1:   6 Power rule from product rule
  746.    wt: 1:   5 Product Rule
  747.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  748.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  749.    wt: 1:   11 Limits at infinity Three Examples
  750.    wt: 1:   10 Three one sided limits with infinite values
  751.    wt: 1:   9 Limits Continuity and Composition
  752.    wt: 1:   8 Four Animated Examples
  753.    wt: 1:   7 Evaluation by immediate or delayed substitution
  754.    wt: 1:   3 Decimal insights for limits continuity convergence
  755.    wt: 1:   2 Algebraic codification
  756.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  757.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  758.    wt: 1:   PostScript For and Against Decimal Perspectives
  759.    wt: 1:   index
  760.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  761.    wt: 1:   Chapter 23 Links To Trigonometry
  762.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  763.    wt: 1:   Chapter 13. Acceleration
  764.    wt: 1:   Chapter 12. Units and Slopes
  765.    wt: 1:   Chapter 11. Graphing Slope versus Position
  766.    wt: 1:   Chapter 10 Slopes and Units
  767.    wt: 1:   Chapter 8. Slope Interpretation
  768.    wt: 1:   Chapter 7 Slopes and Velocity
  769.    wt: 1:   Chapter 5. Slope Sign Tests
  770.    wt: 1:   Chapter 3. Slope Sign Analysis
  771.    wt: 1:   Fall 1983 Calculus Appetizer
  772.    wt: 1:   Foreword
  773.    wt: 1:   Postscript More on Better Performance
  774.    wt: 1:   Postscript For Better Performance
  775.    wt: 1:   Appendix D. What to do in School and Why
  776.    wt: 1:   Appendix C. How to Read
  777.    wt: 1:   Appendix B. How To Learn
  778.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  779.    wt: 1:   Chapter 31 Direct and Indirect Reason
  780.    wt: 1:   Chapter 30 Truth Tables
  781.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  782.    wt: 1:   Chapter 28 Occurrence Tables
  783.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  784.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  785.    wt: 1:   Chapter 25. Mathematical Induction Examples
  786.    wt: 1:   Chapter 21. Third Reading Guide
  787.    wt: 1:   Chapter 19. Functions and Sets
  788.    wt: 1:   Chapter 18. Rules for Algebra
  789.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  790.    wt: 1:   Chapter 16. Painless Theorem Proving
  791.    wt: 1:   Chapter 15. Solving Linear Equations
  792.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  793.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  794.    wt: 1:   Chapter 13. Second Reading Guide
  795.    wt: 1:   Chapter 12. Shorthand Usage Guide
  796.    wt: 1:   Chapter 11. Why Shorthand
  797.    wt: 1:   Chapter 10 Describing and Changing Calculations
  798.    wt: 1:   Postscript What is a Variable
  799.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  800.    wt: 1:   Solutions For Arithmetic Exercises
  801.    wt: 1:   Chapter 6 Change of Language
  802.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  803.    wt: 1:   Chapter 4 Longer Chains of Reason
  804.    wt: 1:   Chapter 3 Chains of Reason
  805.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  806.    wt: 1:   Foreword
  807.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  808.    wt: 1:   Postscript C Consistency as a Tool for Reason
  809.    wt: 1:   Postscript B More on Story Telling and Reason
  810.    wt: 1:   Postscript A Story Telling
  811.    wt: 1:   Chapter 24 Direct and Indirect Reason
  812.    wt: 1:   Chapter 23 Truth Tables
  813.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  814.    wt: 1:   Chapter 21 Occurrence Tables
  815.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  816.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  817.    wt: 1:   Chapter 18 Sense and Knowledge
  818.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  819.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  820.    wt: 1:   Chapter 15 Objective Processes
  821.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  822.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  823.    wt: 1:   Chapter 11 Accidental Patterns
  824.    wt: 1:   Chapter 10 Responsibility
  825.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  826.    wt: 1:   Chapter 8 Change of Language
  827.    wt: 1:   Chapter 7 Longer Chains of Reason
  828.    wt: 1:   Chapter 6 Chains of Reason
  829.    wt: 1:   Chapter 5 Deception
  830.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  831.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  832.    wt: 1:   Chapter 2 Skill Development
  833.    wt: 1:   Three Remarks
  834.    wt: 1:   Foreword
  835.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  836.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  837.    wt: 1:   S Adding words to algebra
  838.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  839.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  840.    wt: 1:   M Words to extend arithmetic
  841.    wt: 1:   L Skills with take home value
  842.    wt: 1:   J. More on written work and showing skill
  843.    wt: 1:   I. Logic and language skills
  844.    wt: 1:   H more Routine to non routine problem solving
  845.    wt: 1:   H Jigsaw puzzles and problem solving
  846.    wt: 1:   F. The student teacher tutor feedback loop
  847.    wt: 1:   E. When and how to correct errors
  848.    wt: 1:   D. Check work a must with a caution
  849.    wt: 1:   C. Domino effect of being careful
  850.    wt: 1:   B. Domino effect of errors
  851.    wt: 1:   A. Skill has to be seen to believed
  852.    wt: 1:   How to Build Skills and Confidence
  853.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  854.    wt: 1:   More Algebra and Slope based Calculus Preview
  855.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  856.    wt: 1:   Systematic Algebra Skill Development Missing Links
  857.    wt: 1:   Road Safety Questions
  858.    wt: 1:   Site Reviews
  859.    wt: 11:   C LAMP Introduction Culture in Mathematics Education
  860.    wt: 10:   E LAMP Introduction Modern Mathematics

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Mathematics Skills For Ages 3 to 14

Skills with take home value

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

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A Origins of Counting and Figuring Methods
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Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

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The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
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4 Lines-Slopes [I]
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5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
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Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
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