Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 12+: 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

Welcome:Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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53 matches:

  1.    wt: 5:   11 Squares and Square Roots/
  2.    wt: 4:   Mathematics Education Essays/
  3.    wt: 4:   11 Parallel Straight Lines and Transversals/
  4.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  7.    wt: 3:   1 Decimal Place Value/
  8.    wt: 3:   13 Lessons on Limits and Continuity/
  9.    wt: 2:   LAMP Lean Applied Mathematics Program/
  10.    wt: 2:   Volume 1A Regles et modeles/
  11.    wt: 2:   1 Five Polynomial Operations/
  12.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  14.    wt: 2:   13 Vectors/
  15.    wt: 2:   12 Function Translating and Rescaling/
  16.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  17.    wt: 2:   1 Maps Plans Measurement/
  18.    wt: 2:   10 Examples of Algebraic Reasoning/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   2 Formula Forward Use Evaluation/
  21.    wt: 2:   A Decimal Counting and Adding Methods/
  22.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  23.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  24.    wt: 2:   Volume 1A Pattern Based Reason/
  25.    wt: 1:   Archives/
  26.    wt: 1:   Mathematics Skills Year by Year/
  27.    wt: 1:   4 Lines and Slopes Take 1/
  28.    wt: 1:   9 Proportionality Backwards and Forwards/
  29.    wt: 1:   8 Unifying Theme For Algebra/
  30.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  31.    wt: 1:   1 Working With Sets/
  32.    wt: 1:   9 Combinatorics Trees Tables and Products/
  33.    wt: 1:   8 Arithmetic with Signed Numbers/
  34.    wt: 1:   7 Arithmetic and Fractions with Units/
  35.    wt: 1:   6 Fractions and Ratios/
  36.    wt: 1:   5 Integers/
  37.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  38.    wt: 1:   3 Prime Factorization Skills/
  39.    wt: 1:   D Decimal Long Division Methods/
  40.    wt: 1:   C Decimal Multiplication Methods/
  41.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  42.    wt: 1:   2 Arithmetic with Decimals/
  43.    wt: 1:   Arithmetic and Number Theory Skills/
  44.    wt: 1:   5 Lessons on Integration/
  45.    wt: 1:   4 Lessons on Using Derivatives/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   70 Calculus Starter Lessons/
  48.    wt: 1:   Volume 2 Three Skills For Algebra/
  49.    wt: 1:   Volume 1 Elements of Reason/
  50.    wt: 1:   Mathematics 506 Lessons/
  51.    wt: 1:   Secondary Mathematics A Practical Approach/
  52.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  53.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

527 matches:

  1.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 3:   11 pure mathematics
  3.    wt: 3:   three goals for Mathematics Education
  4.    wt: 3:   12 Goals and Objectives For Mathematics
  5.    wt: 3:   11 Help and Defend Your Child or Teens Education
  6.    wt: 3:   17E Trig Formulas for dot and cross Products
  7.    wt: 3:   17D cis formulas for sine cosines and tangent
  8.    wt: 3:   13 Trig Formulas for dot and cross Products
  9.    wt: 3:   12 cis formulas for sine cosines and tangent
  10.    wt: 3:   11 sine and cosine double triple angle formulas
  11.    wt: 3:   1 Written work formats for developing and showing skill
  12.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  13.    wt: 3:   11 Adding Integers Formulas and Examples
  14.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  15.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  16.    wt: 2:   Mathematics Education Professors
  17.    wt: 2:   Postscript 2007 01 10
  18.    wt: 2:   Education Reform Inconsistencies
  19.    wt: 2:   02 21 words for teachers
  20.    wt: 2:   02 20 mathematics education references
  21.    wt: 2:   three aims for mathematics students
  22.    wt: 2:   formal or informal peer review
  23.    wt: 2:   Education in mathematics science and technology
  24.    wt: 2:   Four ways to improve education reform
  25.    wt: 2:   need for a mixed mathematics curriculum
  26.    wt: 2:   Prequel In For A Penny In For A Pound
  27.    wt: 2:   words for mathematics instructor
  28.    wt: 2:   1 Conductance Resistance Duality01
  29.    wt: 2:   B Electromotive force conventional current01
  30.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  31.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  32.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  33.    wt: 2:   18 Primary School Mathematics
  34.    wt: 2:   17 Math Booklets for children and young teenagers
  35.    wt: 2:   16 Secondary Mathematics Tips
  36.    wt: 2:   15 Counting For Parents
  37.    wt: 2:   10 Ends values for work study instruction
  38.    wt: 2:   Ages 12 to 14 Skills with take home value
  39.    wt: 2:   Ages 12 to 14 Geometry
  40.    wt: 2:   Ages 12 to 14 Arithmetic
  41.    wt: 2:   Ages 10 to 12 Geometry
  42.    wt: 2:   Ages 10 to 12 Arithmetic
  43.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  44.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  45.    wt: 2:   11 Function Domain Range Source and Targets
  46.    wt: 2:   5 Function notation for geometric transformations
  47.    wt: 2:   11 Growth and Decay in Biology
  48.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  49.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  50.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  51.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  52.    wt: 2:   12 motivation for term arctan
  53.    wt: 2:   11 arctan left inverse of tangent Graph
  54.    wt: 2:   12 From Applied To Pure Mathematics
  55.    wt: 2:   11 Component Method
  56.    wt: 2:   11 Straight Lines Graphing y=mx
  57.    wt: 2:   17 tangent function angle sum formulas
  58.    wt: 2:   26 Formulas for products of sines and cosines
  59.    wt: 2:   21 sine and cosine Half Angle Formulas
  60.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  61.    wt: 2:   17C sine and cosine double triple angle formulas
  62.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  63.    wt: 2:   12 Graph of tangent function for one period
  64.    wt: 2:   11 tangent function undefined when terminal side vertical
  65.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  66.    wt: 2:   11 Triangle Similarity Missing Side Problem
  67.    wt: 2:   11 A Partial Summary
  68.    wt: 2:   4 Equations for lines three forms
  69.    wt: 2:   13 Pythagorean spatial distance formulas
  70.    wt: 2:   11 Triangle Inequality
  71.    wt: 2:   10 Pythagorean plane distance formula
  72.    wt: 2:   18 Triangle Similarity Take 1
  73.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  74.    wt: 2:   11 Triangle Construction Fails
  75.    wt: 2:   11 Signed Number Addition and Addition Properties
  76.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  77.    wt: 2:   11 Real Number Addition
  78.    wt: 2:   1 Formulas Dependence and Function Notation
  79.    wt: 2:   Formula Usage Show Work Format
  80.    wt: 2:   13 Naming Identifying Formulas with Words
  81.    wt: 2:   11 Volume of Sphere
  82.    wt: 2:   1 Three Skills For Algebra
  83.    wt: 2:   1 More and Less Than for Counts and Measures
  84.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  85.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  86.    wt: 2:   11 What are real lengths and numbers
  87.    wt: 2:   21 Reciprocals for Fractions and Wholes
  88.    wt: 2:   11 Simplification an Algebraic View
  89.    wt: 2:   D Remainders Modulo 11 Pair Rule
  90.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  91.    wt: 2:   10 Integer Multiplication Formulas
  92.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  93.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  94.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  95.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  96.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  97.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  98.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  99.    wt: 2:   1 Remainder Arithmetic Modulo 10
  100.    wt: 2:   11 Efficient Square Rule Use
  101.    wt: 2:   Long Division forwards and backwards Example 1
  102.    wt: 2:   11 Another Single Digit Divisor Example
  103.    wt: 2:   1 Why 3 times 5 gives 15
  104.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  105.    wt: 2:   11 Place Value SI Standard International way
  106.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  107.    wt: 2:   011 Division of Time Intervals By Numbers
  108.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  109.    wt: 2:   38 Formulas and derivatives for powers and roots
  110.    wt: 2:   21 Chain Rule for powers
  111.    wt: 2:   19 Chain Rule for linear functions
  112.    wt: 2:   13 sine and cosine derivatives 1st step
  113.    wt: 2:   11 Quotient rule
  114.    wt: 2:   10 Power rule for negative integers
  115.    wt: 2:   2 Motivation for Limit Definition Take 1
  116.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  117.    wt: 2:   11 Limits at infinity Three Examples
  118.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  119.    wt: 2:   Chapter 11. Graphing Slope versus Position
  120.    wt: 2:   Postscript For Better Performance
  121.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  122.    wt: 2:   Chapter 21. Third Reading Guide
  123.    wt: 2:   Chapter 18. Rules for Algebra
  124.    wt: 2:   Chapter 13. Second Reading Guide
  125.    wt: 2:   Chapter 12. Shorthand Usage Guide
  126.    wt: 2:   Chapter 11. Why Shorthand
  127.    wt: 2:   Postscript B Mathematics Education References
  128.    wt: 2:   Chapter 11 Elementary Instruction
  129.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  130.    wt: 2:   Chapter 2 For and Against Mathematics
  131.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  132.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  133.    wt: 2:   Chapter 11 Accidental Patterns
  134.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  135.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  136.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  137.    wt: 2:   N Mathematics Prepare for College Studies
  138.    wt: 2:   G. Written work formats for developing and showing skill
  139.    wt: 2:   Mathematics Education References
  140.    wt: 2:   Mathematics Education References
  141.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  142.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  143.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  144.    wt: 1:   Appendix 2 primary school Arithmetic 01
  145.    wt: 1:   Appendix 1 primary and preschool mathematic
  146.    wt: 1:   K LAMP Musings Science Education
  147.    wt: 1:   E LAMP Introduction Modern Mathematics
  148.    wt: 1:   Skills Chapter 1 Arithmetic
  149.    wt: 1:   10 statistics
  150.    wt: 1:   1 arithmetic with unsigned numbers
  151.    wt: 1:   three goals to set for students
  152.    wt: 1:   permissions for teachers
  153.    wt: 1:   Applied Maths Program14092009 POMME variant
  154.    wt: 1:   activities for students
  155.    wt: 1:   links Education Resources online
  156.    wt: 1:   modern education
  157.    wt: 1:   mathematics in context
  158.    wt: 1:   Secondary Three Mathematics
  159.    wt: 1:   Secondary Two Mathematics
  160.    wt: 1:   Secondary One Mathematics
  161.    wt: 1:   mathematics curriculum shifts
  162.    wt: 1:   geometric implications for algebra
  163.    wt: 1:   05 13 OldSiteEntrancePage
  164.    wt: 1:   04 29 New Mathematics Curriculum
  165.    wt: 1:   standards for course material
  166.    wt: 1:   mathematics instruction in general
  167.    wt: 1:   three kinds of reason in mathematics
  168.    wt: 1:   Leaner mathematics curriculum
  169.    wt: 1:   education an empirical art
  170.    wt: 1:   fairness and inductive principles for instruction
  171.    wt: 1:   chapitre 12 00 les iles et division
  172.    wt: 1:   chapitre 07 01 principle D induction mathematique
  173.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  174.    wt: 1:   chapitre 04 01 Premiere enigme
  175.    wt: 1:   chapitre 01 00 Introduction
  176.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  177.    wt: 1:   1 Energy Power Heat06
  178.    wt: 1:   A Energy Power01
  179.    wt: 1:   C Wire Resistance Calculation01
  180.    wt: 1:   A Wire Resistance Qualitative01
  181.    wt: 1:   2 Unlike resistors in parallel01
  182.    wt: 1:   1 Like resistors in series
  183.    wt: 1:   G Series Circuit01
  184.    wt: 1:   C Electromotive force conventional current02
  185.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  186.    wt: 1:   24 Standards For Skill Develoment Take II
  187.    wt: 1:   24 Standards For Skill Develoment
  188.    wt: 1:   22 Student Centered Highschool Mathematics
  189.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  190.    wt: 1:   14 Multiplication and Times Tables
  191.    wt: 1:   13 Addition and Addition Tables
  192.    wt: 1:   5 Patience Please for Yourself and Your Charges
  193.    wt: 1:   4 Learning Takes Time and Effort
  194.    wt: 1:   3 Preparing for Science Studies
  195.    wt: 1:   1 Speaking Skills
  196.    wt: 1:   Ages 9 to 10
  197.    wt: 1:   sign monoticity analysis example 1
  198.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  199.    wt: 1:   19 Horizontal line rule and method
  200.    wt: 1:   18 Vertical Line Rule and Method
  201.    wt: 1:   17 Function maxima minima and their location
  202.    wt: 1:   16 Increasing or decreasing on intervals
  203.    wt: 1:   15 Sign analysis of functions
  204.    wt: 1:   14 Surjections Injections Bijections
  205.    wt: 1:   13 From one to one to many to one
  206.    wt: 1:   12 Function Domain Recognition Exercises
  207.    wt: 1:   10 Interval Notation
  208.    wt: 1:   6 Set Existence Formation and Notation
  209.    wt: 1:   4 Function notation in and beyond mathematics
  210.    wt: 1:   3 Formula or function graphing exercise
  211.    wt: 1:   1 Geometric Introduction of Function Notation
  212.    wt: 1:   Introduction Reading Guide
  213.    wt: 1:   10 quadratic exercises
  214.    wt: 1:   8 quadratics backward use of various formulas
  215.    wt: 1:   7 quadratic formulla derivation
  216.    wt: 1:   1 quadratics graphing exercises
  217.    wt: 1:   Quadratics in 10 steps
  218.    wt: 1:   10 Exponential Growth and Decay Models
  219.    wt: 1:   1 Calculator Starter Exercises
  220.    wt: 1:   8 Notes for instructors or tutors
  221.    wt: 1:   1 Polynomials Distributive Law
  222.    wt: 1:   16 cotangent function Definition Graph and Inverse
  223.    wt: 1:   15 cosecant function Definition Graph and Inverse
  224.    wt: 1:   14 secant function Definition Graph and Inverse
  225.    wt: 1:   13 cosecant function Definition Graph and Inverse
  226.    wt: 1:   10 arctan left inverse of tangent Definition
  227.    wt: 1:   9 motivation for name arcsin
  228.    wt: 1:   4 possible motivation for term arccos
  229.    wt: 1:   1 cosine function properties
  230.    wt: 1:   1 Degrees and Radians Introduction
  231.    wt: 1:   15 Dot and Cross Product
  232.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  233.    wt: 1:   13 Velocity Vectors in Physics
  234.    wt: 1:   10 Parallelogram Addition Method
  235.    wt: 1:   1 Unsigned Coordinates
  236.    wt: 1:   1 graphing y=f(x a)
  237.    wt: 1:   Triangle Angles Sum To 180 Degrees
  238.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  239.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  240.    wt: 1:   14 Straight Lines Equations General Case
  241.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  242.    wt: 1:   12 Straight Lines Graphing mx plus b
  243.    wt: 1:   10 Straight Lines through Origin Equations More
  244.    wt: 1:   8 Straight Lines Equation for vertical
  245.    wt: 1:   1 Straight Lines Slope Concept
  246.    wt: 1:   31 basic secant cosecant cotangent trig identities
  247.    wt: 1:   29 secant cosecant and cotangent for acute angles
  248.    wt: 1:   25 tangent double angle formula Slope connection
  249.    wt: 1:   24 tangent Angle Difference Formula
  250.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  251.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  252.    wt: 1:   20 sine and cosine Double Angle Formulas
  253.    wt: 1:   18 sum of sinusoidal waves as a single wave
  254.    wt: 1:   17G Pythagorean Theorem Converse
  255.    wt: 1:   17F Law of cosines
  256.    wt: 1:   17A The complex number valued trig function cis
  257.    wt: 1:   16 Right Triangle Complementary Angle Relations
  258.    wt: 1:   15 sine cosine Complementary Angle Relations
  259.    wt: 1:   14 cosine even and sine and tangent are odd
  260.    wt: 1:   13 Graph of tangent function many periods
  261.    wt: 1:   10 Graphs of sines and cosines many periods
  262.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  263.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  264.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  265.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  266.    wt: 1:   1 Unit Points Reflections Rotations
  267.    wt: 1:   21 Logarithms Powers and Exponentials
  268.    wt: 1:   19 N th Roots of Unity
  269.    wt: 1:   18 Sixth Roots of Unity
  270.    wt: 1:   17 Cube Roots of unity
  271.    wt: 1:   16 References and Originality Question
  272.    wt: 1:   15 Pythagorean Theorem Converse
  273.    wt: 1:   14 Law of cosines
  274.    wt: 1:   1 Rectangular Polar Coordinates Review
  275.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  276.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  277.    wt: 1:   1 Angle Measurement with Degrees
  278.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  279.    wt: 1:   12 Triangles Similarity More Problems
  280.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  281.    wt: 1:   1 Early Concept of Like or Similar Shapes
  282.    wt: 1:   12 Links Lessons elsewhere
  283.    wt: 1:   10 Midpoint of [a b] and [b a]
  284.    wt: 1:   8 Mid Point Formula
  285.    wt: 1:   3 Slope product for perpendicular lines
  286.    wt: 1:   2 point slope equation for a line
  287.    wt: 1:   1 Numerical view of lines and their equations
  288.    wt: 1:   12 Spatial Coordinates
  289.    wt: 1:   1 Cartesian Coordinates sans signs
  290.    wt: 1:   PS H Distributive Law For Complex Numbers
  291.    wt: 1:   21 Parallelograms
  292.    wt: 1:   19 Right Triangle Similarity
  293.    wt: 1:   17 Right Bisectors of Triangle Sides
  294.    wt: 1:   16 Angles Subtended By Chords and Diameters
  295.    wt: 1:   14 Parallel Lines Postulate
  296.    wt: 1:   13 Angle Side Angle Failure
  297.    wt: 1:   12 Side Angle Side Failure
  298.    wt: 1:   10 Dropping a perpendicular to line
  299.    wt: 1:   1 Initial Concepts and Terms
  300.    wt: 1:   1 Length Measurement
  301.    wt: 1:   21 Addition of Multiples of a Single Vector
  302.    wt: 1:   19 Signed Multiples of Vectors
  303.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  304.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  305.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  306.    wt: 1:   15 Head to Tails in place Addition Associative
  307.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  308.    wt: 1:   13 Arrows and Vectors in a Plane
  309.    wt: 1:   12 Real Numbers Line Signed Coordinates
  310.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  311.    wt: 1:   1 Fractions with Finite Decimal Expansions
  312.    wt: 1:   6 Column Methods for Decimal Multiplication
  313.    wt: 1:   5 Distributive Law for Whole Numbers
  314.    wt: 1:   4 Commutative Law Groups Counting Form
  315.    wt: 1:   1 The Counting Origins of Numbers
  316.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  317.    wt: 1:   1 What is Proportionality
  318.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  319.    wt: 1:   6 Compound Interest Forward and Backwards
  320.    wt: 1:   5 Triangle Area Formula Backwards
  321.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  322.    wt: 1:   1 Changing Calculations
  323.    wt: 1:   3 Product Axioms Two Forms
  324.    wt: 1:   1 Equivalent Computation Rules
  325.    wt: 1:   2 More and Less Than for Counts and Measures
  326.    wt: 1:   1 Real Numbers Comparison
  327.    wt: 1:   16 Real Numbers Comparison
  328.    wt: 1:   15 Real Number Division
  329.    wt: 1:   14 Real Number Multiplication
  330.    wt: 1:   13 Real Number Subtraction
  331.    wt: 1:   12 Real Number Additive Inverses or Negatives
  332.    wt: 1:   10 Real Number Lengths and Signs
  333.    wt: 1:   9 Coordinates for Regions in Space
  334.    wt: 1:   8 Coordinates for Maps and Planes
  335.    wt: 1:   1 Whole and Natural Numbers
  336.    wt: 1:   3 Geometric Formulas and Function Notation
  337.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  338.    wt: 1:   1 GE Substitution four examples
  339.    wt: 1:   1 Essentially One Unknown
  340.    wt: 1:   1 Proper Equal Sign Usage
  341.    wt: 1:   10 One Example
  342.    wt: 1:   Using Letters for Physical Quantities
  343.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  344.    wt: 1:   10 Volume of Pyramid
  345.    wt: 1:   8 Compound Interest Formula Evaluation
  346.    wt: 1:   7 Compound Interest Formula Introduction
  347.    wt: 1:   5 Box Volume Formula Example
  348.    wt: 1:   4 Circle Area Formula Example
  349.    wt: 1:   3 Triangle Area Formula Example
  350.    wt: 1:   2 Another Rectangle Area Formula Example
  351.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  352.    wt: 1:   1 Finite Sets
  353.    wt: 1:   arithmetic videos Real Player Format
  354.    wt: 1:   1 Squares and Square Roots Introduction
  355.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  356.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  357.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  358.    wt: 1:   13 GCD from given Prime Factorization
  359.    wt: 1:   4 LCM of 8 and 10 via Prime
  360.    wt: 1:   1 Least Common Multiples LCM Introduction
  361.    wt: 1:   12 GCD 2700 288 via Prime
  362.    wt: 1:   1 Counting and Counting Methods I
  363.    wt: 1:   10 dividing signed numbers
  364.    wt: 1:   4 signed coordinates for regions in space
  365.    wt: 1:   3 signed coordinates for maps and planes
  366.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  367.    wt: 1:   1 Addition and Subtraction with Units
  368.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  369.    wt: 1:   21 Working With Signs
  370.    wt: 1:   19 Dividing Fractions How TO
  371.    wt: 1:   18 Efficient Ways to Multiply
  372.    wt: 1:   17 Efficient Ways to Add and Subtract
  373.    wt: 1:   16 Addition Subtraction Comparision Compared
  374.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  375.    wt: 1:   14 Adding and Subtracting with Like Denominators
  376.    wt: 1:   13 Fraction Comparison Algebraic View
  377.    wt: 1:   12 Fraction Comparison
  378.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  379.    wt: 1:   1 What is a fraction Take II
  380.    wt: 1:   1 What is a fraction
  381.    wt: 1:   13 Subtraction with Additive Inverse
  382.    wt: 1:   12 Adding Integers More Examples
  383.    wt: 1:   1 Integers as Coordinates
  384.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  385.    wt: 1:   21 Remainder Arithmetic Modulo 3
  386.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  387.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  388.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  389.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  390.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  391.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  392.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  393.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  394.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  395.    wt: 1:   19 video Prime Factorization Unique
  396.    wt: 1:   18 video Count Factors given Prime Factorization
  397.    wt: 1:   17 Identify and Count Factors using Primes
  398.    wt: 1:   16 video Factors of 980 using prime
  399.    wt: 1:   15 video Factors of 20 using Prime Factorization
  400.    wt: 1:   14 video Factors of 24 Take II
  401.    wt: 1:   13 video Factors of 24 using prime
  402.    wt: 1:   12 LCD GCD and LCM using Primes
  403.    wt: 1:   10 video Prime Factorization upto 23 squared
  404.    wt: 1:   9 video Prime Factorization upto 19 squared
  405.    wt: 1:   8 video Prime Factorization upto 19
  406.    wt: 1:   2 Prime and Composites less than 16
  407.    wt: 1:   1 video how Products are bigger than factor
  408.    wt: 1:   Long Division forwards and backwards Example 3
  409.    wt: 1:   Long Division forwards and backwards Example 2
  410.    wt: 1:   12 Why Long Division Works Take III
  411.    wt: 1:   10 Division by Five Long and Short Ways
  412.    wt: 1:   1 Divsion Physical Examples
  413.    wt: 1:   A Elementary Basis for Multiplication Methods
  414.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  415.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  416.    wt: 1:   5 A Tip for Efficent Subtraction
  417.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  418.    wt: 1:   1. Explaining Addition Table
  419.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  420.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  421.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  422.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  423.    wt: 1:   Formula Evaluation how to show work
  424.    wt: 1:   The 12 Times Table Visually
  425.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  426.    wt: 1:   016 Numbering Occidental Calendar Days
  427.    wt: 1:   015 School and work day counting tables
  428.    wt: 1:   014 Counting Days with Calendars
  429.    wt: 1:   013 Travel Time Tables
  430.    wt: 1:   012 Division of Time Intervals by Time Intervals
  431.    wt: 1:   010 Repeated Addition of Time Intervals
  432.    wt: 1:   1 Intro of Kids To Time Date Skills
  433.    wt: 1:   Example 1 volume of a pyramid
  434.    wt: 1:   Example 1. Area Between x and x squared
  435.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  436.    wt: 1:   Example 1
  437.    wt: 1:   Area Between Curves Lesson Take 1
  438.    wt: 1:   1 Chain Rule in Reverse Integration Method
  439.    wt: 1:   31 Derivatives of inverse functions
  440.    wt: 1:   28 Chain Rule Preparation for a Proof
  441.    wt: 1:   22 Chain Rule for polynomials
  442.    wt: 1:   20 Chain Rule for Pulley Systems
  443.    wt: 1:   18 Chain Rule Introduction
  444.    wt: 1:   17 Derivatives of quotients of sine and cosine
  445.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  446.    wt: 1:   15 sine and cosine derivatives 3rd step
  447.    wt: 1:   14 sine and cosine derivatives 2nd step
  448.    wt: 1:   12 Quotient rule examples
  449.    wt: 1:   3 Motivation for Limit Definition Take 2
  450.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  451.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  452.    wt: 1:   10 Three one sided limits with infinite values
  453.    wt: 1:   3 Decimal insights for limits continuity convergence
  454.    wt: 1:   1 Numerical introduction
  455.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  456.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  457.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  458.    wt: 1:   F.1 What Functions are Continuous
  459.    wt: 1:   E1 Error Control Inequalities
  460.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  461.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  462.    wt: 1:   PostScript For and Against Decimal Perspectives
  463.    wt: 1:   A1. Introduction
  464.    wt: 1:   Chapter 21 Arrow Addition
  465.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  466.    wt: 1:   Chapter 18. Slopes Areas Integration
  467.    wt: 1:   Chapter 17. Area Approximation
  468.    wt: 1:   Chapter 16. Velocity Approximation
  469.    wt: 1:   Chapter 15. Slope Approximation
  470.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  471.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  472.    wt: 1:   Chapter 13. Acceleration
  473.    wt: 1:   Chapter 12. Units and Slopes
  474.    wt: 1:   Chapter 10 Slopes and Units
  475.    wt: 1:   Chapter 1.Introduction
  476.    wt: 1:   Fall 1983 Calculus Appetizer
  477.    wt: 1:   Foreword
  478.    wt: 1:   Postscript More on Better Performance
  479.    wt: 1:   Appendix E. How To Study Mathematics and Why
  480.    wt: 1:   Chapter 31 Direct and Indirect Reason
  481.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  482.    wt: 1:   Chapter 23. Notation For Sums
  483.    wt: 1:   Chapter 19. Functions and Sets
  484.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  485.    wt: 1:   Chapter 16. Painless Theorem Proving
  486.    wt: 1:   Chapter 15. Solving Linear Equations
  487.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  488.    wt: 1:   Chapter 10 Describing and Changing Calculations
  489.    wt: 1:   Chapter 8 Three Skills For Algebra
  490.    wt: 1:   Solutions For Arithmetic Exercises
  491.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  492.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  493.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  494.    wt: 1:   Foreword
  495.    wt: 1:   Chapter 12 Four Phases
  496.    wt: 1:   Chapter 10 Transition
  497.    wt: 1:   Chapter 1 Introduction
  498.    wt: 1:   Foreword
  499.    wt: 1:   Postscript C Consistency as a Tool for Reason
  500.    wt: 1:   Chapter 21 Occurrence Tables
  501.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  502.    wt: 1:   Chapter 18 Sense and Knowledge
  503.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  504.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  505.    wt: 1:   Chapter 15 Objective Processes
  506.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  507.    wt: 1:   Chapter 10 Responsibility
  508.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  509.    wt: 1:   Chapter 1 Introduction
  510.    wt: 1:   Foreword
  511.    wt: 1:   R Why Learn Mathematics Skills
  512.    wt: 1:   O On Learning Mathematics and Science
  513.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  514.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  515.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  516.    wt: 1:   Chapter 1 Arithmetic
  517.    wt: 1:   7 Games and Activities for Instruction
  518.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  519.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  520.    wt: 1:   Helping the Blind in Logic and Mathematics
  521.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  522.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  523.    wt: 1:   More Algebra and Slope based Calculus Preview
  524.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  525.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  526.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  527.    wt: 1:   The Math Forum and Site Content

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  2.    wt: 9:   10 Euclid Algorithm with 129 125 and with 45 14
  3.    wt: 8:   11 pure mathematics
  4.    wt: 8:   1 Squares and Square Roots Introduction
  5.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
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  19.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  20.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  21.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  22.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  23.    wt: 7:   11 Place Value SI Standard International way
  24.    wt: 6:   activities for students
  25.    wt: 6:   modern education
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  27.    wt: 6:   Postscript 2007 01 10
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  39.    wt: 6:   11 Component Method
  40.    wt: 6:   1 More and Less Than for Counts and Measures
  41.    wt: 6:   13 GCD from given Prime Factorization
  42.    wt: 6:   7 GCD and LCM from prime factorization
  43.    wt: 6:   4 LCM of 8 and 10 via Prime
  44.    wt: 6:   1 Least Common Multiples LCM Introduction
  45.    wt: 6:   12 GCD 2700 288 via Prime
  46.    wt: 6:   11 Adding Integers Formulas and Examples
  47.    wt: 6:   10 Names for Big Numbers and Powers of Ten Expansion
  48.    wt: 6:   11 Limits at infinity Three Examples
  49.    wt: 6:   10 Three one sided limits with infinite values
  50.    wt: 6:   Chapter 11 Elementary Instruction
  51.    wt: 6:   Chapter 11 Accidental Patterns
  52.    wt: 5:   Skills Chapter 1 Arithmetic
  53.    wt: 5:   10 statistics
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  55.    wt: 5:   which way to go
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  58.    wt: 5:   Applied Maths Program14092009 POMME variant
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  61.    wt: 5:   learning takes time
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  70.    wt: 5:   04 25 when to stop or suspend mathemat
  71.    wt: 5:   Operational Viewpoint to Value
  72.    wt: 5:   Theory of Knowledge
  73.    wt: 5:   Different Kinds of Reasoning in maths
  74.    wt: 5:   Leaner mathematics curriculum
  75.    wt: 5:   education an empirical art
  76.    wt: 5:   fairness and inductive principles for instruction
  77.    wt: 5:   11 Help and Defend Your Child or Teens Education
  78.    wt: 5:   12 From Applied To Pure Mathematics
  79.    wt: 5:   Triangle Angles Sum To 180 Degrees
  80.    wt: 5:   17 tangent function angle sum formulas
  81.    wt: 5:   17E Trig Formulas for dot and cross Products
  82.    wt: 5:   17D cis formulas for sine cosines and tangent
  83.    wt: 5:   11 sine and cosine double triple angle formulas
  84.    wt: 5:   11 A Partial Summary
  85.    wt: 5:   13 Naming Identifying Formulas with Words
  86.    wt: 5:   11 Volume of Sphere
  87.    wt: 5:   1 Written work formats for developing and showing skill
  88.    wt: 5:   8 GCD from Euclidean Algorithm
  89.    wt: 5:   6 GCD from Prime
  90.    wt: 5:   11 What are real lengths and numbers
  91.    wt: 5:   21 Reciprocals for Fractions and Wholes
  92.    wt: 5:   18 Efficient Ways to Multiply
  93.    wt: 5:   11 Efficient Square Rule Use
  94.    wt: 5:   Long Division forwards and backwards Example 1
  95.    wt: 5:   11 Another Single Digit Divisor Example
  96.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  97.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  98.    wt: 5:   Area Between Curves Lesson Take 2
  99.    wt: 5:   Area Between Curves Lesson Take 1
  100.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  101.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  102.    wt: 5:   1 Numerical introduction
  103.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  104.    wt: 5:   Chapter 11. Why Shorthand
  105.    wt: 5:   Postscript B Mathematics Education References
  106.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  107.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  108.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  109.    wt: 4:   why bother
  110.    wt: 4:   website reviews
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  117.    wt: 4:   talk the algebra talk
  118.    wt: 4:   three difficulties
  119.    wt: 4:   teaching tips
  120.    wt: 4:   What to Tell Students
  121.    wt: 4:   teaching tutoring algebraic reason
  122.    wt: 4:   Lessening Algebra Difficulties
  123.    wt: 4:   the trouble with algebra
  124.    wt: 4:   How to be a better instructor
  125.    wt: 4:   Motivation and Context Problem
  126.    wt: 4:   12 Goals and Objectives For Mathematics
  127.    wt: 4:   Ages 12 to 14 Skills with take home value
  128.    wt: 4:   Ages 12 to 14 Geometry
  129.    wt: 4:   Ages 12 to 14 Arithmetic
  130.    wt: 4:   Ages 10 to 12 Geometry
  131.    wt: 4:   Ages 10 to 12 Arithmetic
  132.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  133.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  134.    wt: 4:   11 Function Domain Range Source and Targets
  135.    wt: 4:   11 Growth and Decay in Biology
  136.    wt: 4:   12 motivation for term arctan
  137.    wt: 4:   11 arctan left inverse of tangent Graph
  138.    wt: 4:   9 motivation for name arcsin
  139.    wt: 4:   4 possible motivation for term arccos
  140.    wt: 4:   1 cosine function properties
  141.    wt: 4:   15 Dot and Cross Product
  142.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  143.    wt: 4:   13 Velocity Vectors in Physics
  144.    wt: 4:   10 Parallelogram Addition Method
  145.    wt: 4:   1 Unsigned Coordinates
  146.    wt: 4:   Parallel Lines and Parallel Transversals
  147.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  148.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  149.    wt: 4:   Parallel Lines and Interior Angles
  150.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  151.    wt: 4:   17C sine and cosine double triple angle formulas
  152.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  153.    wt: 4:   14 cosine even and sine and tangent are odd
  154.    wt: 4:   13 Trig Formulas for dot and cross Products
  155.    wt: 4:   12 cis formulas for sine cosines and tangent
  156.    wt: 4:   11 Triangle Similarity Missing Side Problem
  157.    wt: 4:   11 Triangle Inequality
  158.    wt: 4:   11 Triangle Construction Fails
  159.    wt: 4:   Skill Development Notes
  160.    wt: 4:   10 One Example
  161.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  162.    wt: 4:   10 Volume of Pyramid
  163.    wt: 4:   5 Common Divisors 60 45 via Prime
  164.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  165.    wt: 4:   2 Least Common Multiple LCM intro via list method
  166.    wt: 4:   21 Working With Signs
  167.    wt: 4:   19 Dividing Fractions How TO
  168.    wt: 4:   17 Efficient Ways to Add and Subtract
  169.    wt: 4:   11 Simplification an Algebraic View
  170.    wt: 4:   1 What is a fraction Take II
  171.    wt: 4:   1 What is a fraction
  172.    wt: 4:   D Remainders Modulo 11 Pair Rule
  173.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  174.    wt: 4:   10 Integer Multiplication Formulas
  175.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  176.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  177.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  178.    wt: 4:   Long Division forwards and backwards Example 3
  179.    wt: 4:   1 Why 3 times 5 gives 15
  180.    wt: 4:   1. Explaining Addition Table
  181.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  182.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  183.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  184.    wt: 4:   38 Formulas and derivatives for powers and roots
  185.    wt: 4:   19 Chain Rule for linear functions
  186.    wt: 4:   9 Limits Continuity and Composition
  187.    wt: 4:   3 Decimal insights for limits continuity convergence
  188.    wt: 4:   Chapter 11. Graphing Slope versus Position
  189.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  190.    wt: 4:   Chapter 21. Third Reading Guide
  191.    wt: 4:   Chapter 18. Rules for Algebra
  192.    wt: 4:   Chapter 13. Second Reading Guide
  193.    wt: 4:   Chapter 12. Shorthand Usage Guide
  194.    wt: 4:   Chapter 12 Four Phases
  195.    wt: 4:   Chapter 10 Transition
  196.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  197.    wt: 4:   Chapter 2 For and Against Mathematics
  198.    wt: 4:   Chapter 1 Introduction
  199.    wt: 4:   Chapter 21 Occurrence Tables
  200.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  201.    wt: 4:   Chapter 18 Sense and Knowledge
  202.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  203.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  204.    wt: 4:   Chapter 15 Objective Processes
  205.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  206.    wt: 4:   Chapter 10 Responsibility
  207.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  208.    wt: 4:   Chapter 1 Introduction
  209.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  210.    wt: 3:   Appendix 2 primary school Arithmetic 01
  211.    wt: 3:   Appendix 1 primary and preschool mathematic
  212.    wt: 3:   K LAMP Musings Science Education
  213.    wt: 3:   E LAMP Introduction Modern Mathematics
  214.    wt: 3:   Skills Chapter 5 Calculus
  215.    wt: 3:   Skills Chapter 4 Logic
  216.    wt: 3:   Ramblings Extrinsic numbers theory
  217.    wt: 3:   Ramblings Introduction Algebra Essay
  218.    wt: 3:   Skills Chapter 3 Algebra
  219.    wt: 3:   Skills Chapter 2 Geometry
  220.    wt: 3:   Skills Chapter 0 Introduction
  221.    wt: 3:   9 combinatorics probability sets
  222.    wt: 3:   8 analytic geometry etc
  223.    wt: 3:   7 logic review and decimals an odd combination
  224.    wt: 3:   6 polynomials etc
  225.    wt: 3:   5 logarithms and exponentials etc
  226.    wt: 3:   4 algebra
  227.    wt: 3:   3 Euclidean Geometry Leanly
  228.    wt: 3:   2 arithmetic with signed numbers
  229.    wt: 3:   What is POMME
  230.    wt: 3:   chapitre 12 00 les iles et division
  231.    wt: 3:   chapitre 07 01 principle D induction mathematique
  232.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  233.    wt: 3:   chapitre 04 01 Premiere enigme
  234.    wt: 3:   chapitre 01 00 Introduction
  235.    wt: 3:   1 Conductance Resistance Duality01
  236.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  237.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  238.    wt: 3:   18 Primary School Mathematics
  239.    wt: 3:   17 Math Booklets for children and young teenagers
  240.    wt: 3:   16 Secondary Mathematics Tips
  241.    wt: 3:   15 Counting For Parents
  242.    wt: 3:   10 Ends values for work study instruction
  243.    wt: 3:   10 quadratic exercises
  244.    wt: 3:   8 Notes for instructors or tutors
  245.    wt: 3:   1 Polynomials Distributive Law
  246.    wt: 3:   16 cotangent function Definition Graph and Inverse
  247.    wt: 3:   15 cosecant function Definition Graph and Inverse
  248.    wt: 3:   14 secant function Definition Graph and Inverse
  249.    wt: 3:   13 cosecant function Definition Graph and Inverse
  250.    wt: 3:   10 arctan left inverse of tangent Definition
  251.    wt: 3:   8 arcsin left inverse of sine Graph
  252.    wt: 3:   7 arcsin left inverse of sine Definition
  253.    wt: 3:   6 Graph of arccos function
  254.    wt: 3:   5 Swapping Coordinates is a reflection
  255.    wt: 3:   3 Left Inverse of cosine arccos definition
  256.    wt: 3:   2 cosine function more properties
  257.    wt: 3:   2 Radian Measure Numerical Value of one degree
  258.    wt: 3:   1 Degrees and Radians Introduction
  259.    wt: 3:   1 graphing y=f(x a)
  260.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  261.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  262.    wt: 3:   Straight Lines ASA Intersection Study
  263.    wt: 3:   26 Formulas for products of sines and cosines
  264.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  265.    wt: 3:   21 sine and cosine Half Angle Formulas
  266.    wt: 3:   20 sine and cosine Double Angle Formulas
  267.    wt: 3:   18 sum of sinusoidal waves as a single wave
  268.    wt: 3:   17G Pythagorean Theorem Converse
  269.    wt: 3:   17F Law of cosines
  270.    wt: 3:   17A The complex number valued trig function cis
  271.    wt: 3:   16 Right Triangle Complementary Angle Relations
  272.    wt: 3:   15 sine cosine Complementary Angle Relations
  273.    wt: 3:   13 Graph of tangent function many periods
  274.    wt: 3:   12 Graph of tangent function for one period
  275.    wt: 3:   11 tangent function undefined when terminal side vertical
  276.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  277.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  278.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  279.    wt: 3:   12 Links Lessons elsewhere
  280.    wt: 3:   10 Midpoint of [a b] and [b a]
  281.    wt: 3:   4 Equations for lines three forms
  282.    wt: 3:   1 Numerical view of lines and their equations
  283.    wt: 3:   13 Pythagorean spatial distance formulas
  284.    wt: 3:   10 Pythagorean plane distance formula
  285.    wt: 3:   18 Triangle Similarity Take 1
  286.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  287.    wt: 3:   1 Length Measurement
  288.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  289.    wt: 3:   1 What is Proportionality
  290.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  291.    wt: 3:   1 Formulas Dependence and Function Notation
  292.    wt: 3:   1 Proper Equal Sign Usage
  293.    wt: 3:   8 Compound Interest Formula Evaluation
  294.    wt: 3:   7 Compound Interest Formula Introduction
  295.    wt: 3:   5 Box Volume Formula Example
  296.    wt: 3:   4 Circle Area Formula Example
  297.    wt: 3:   3 Triangle Area Formula Example
  298.    wt: 3:   2 Another Rectangle Area Formula Example
  299.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  300.    wt: 3:   1 Three Skills For Algebra
  301.    wt: 3:   4 Greater More Less Than Signs in General
  302.    wt: 3:   3 Comparison of Negative Numbers
  303.    wt: 3:   2 More and Less Than with Unlike Signs
  304.    wt: 3:   10 dividing signed numbers
  305.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  306.    wt: 3:   1 Addition and Subtraction with Units
  307.    wt: 3:   22 Complex Compound Fractions
  308.    wt: 3:   20 Dividing Fractions the Why
  309.    wt: 3:   16 Addition Subtraction Comparision Compared
  310.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  311.    wt: 3:   14 Adding and Subtracting with Like Denominators
  312.    wt: 3:   13 Fraction Comparison Algebraic View
  313.    wt: 3:   12 Fraction Comparison
  314.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  315.    wt: 3:   13 Subtraction with Additive Inverse
  316.    wt: 3:   12 Adding Integers More Examples
  317.    wt: 3:   1 Integers as Coordinates
  318.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  319.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  320.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  321.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  322.    wt: 3:   1 Remainder Arithmetic Modulo 10
  323.    wt: 3:   19 video Prime Factorization Unique
  324.    wt: 3:   18 video Count Factors given Prime Factorization
  325.    wt: 3:   17 Identify and Count Factors using Primes
  326.    wt: 3:   16 video Factors of 980 using prime
  327.    wt: 3:   15 video Factors of 20 using Prime Factorization
  328.    wt: 3:   14 video Factors of 24 Take II
  329.    wt: 3:   13 video Factors of 24 using prime
  330.    wt: 3:   12 LCD GCD and LCM using Primes
  331.    wt: 3:   10 video Prime Factorization upto 23 squared
  332.    wt: 3:   1 video how Products are bigger than factor
  333.    wt: 3:   Division with Counts and Length
  334.    wt: 3:   Long Division forwards and backwards Example 2
  335.    wt: 3:   12 Why Long Division Works Take III
  336.    wt: 3:   10 Division by Five Long and Short Ways
  337.    wt: 3:   1 Divsion Physical Examples
  338.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  339.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  340.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  341.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  342.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  343.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  344.    wt: 3:   011 Division of Time Intervals By Numbers
  345.    wt: 3:   Example 2 volume of a cone
  346.    wt: 3:   Example 1 volume of a pyramid
  347.    wt: 3:   Example 1. Area Between x and x squared
  348.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  349.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  350.    wt: 3:   Example 2
  351.    wt: 3:   Example 1
  352.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  353.    wt: 3:   21 Chain Rule for powers
  354.    wt: 3:   20 Chain Rule for Pulley Systems
  355.    wt: 3:   13 sine and cosine derivatives 1st step
  356.    wt: 3:   11 Quotient rule
  357.    wt: 3:   10 Power rule for negative integers
  358.    wt: 3:   3 Motivation for Limit Definition Take 2
  359.    wt: 3:   2 Motivation for Limit Definition Take 1
  360.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  361.    wt: 3:   8 Four Animated Examples
  362.    wt: 3:   7 Evaluation by immediate or delayed substitution
  363.    wt: 3:   6 Continuity at a point
  364.    wt: 3:   5 Jumps and absence of unlimited error control
  365.    wt: 3:   4 Numerical properties
  366.    wt: 3:   2 Algebraic codification
  367.    wt: 3:   Postscript For Better Performance
  368.    wt: 3:   Chapter 31 Direct and Indirect Reason
  369.    wt: 3:   Chapter 19. Functions and Sets
  370.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  371.    wt: 3:   Chapter 16. Painless Theorem Proving
  372.    wt: 3:   Chapter 15. Solving Linear Equations
  373.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  374.    wt: 3:   Chapter 10 Describing and Changing Calculations
  375.    wt: 3:   Solutions For Arithmetic Exercises
  376.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  377.    wt: 3:   Annotated Links to Material Elsehwere
  378.    wt: 3:   Postscript A Three Remarks
  379.    wt: 3:   Foreword
  380.    wt: 3:   Postscript C Consistency as a Tool for Reason
  381.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  382.    wt: 3:   Foreword
  383.    wt: 3:   N Mathematics Prepare for College Studies
  384.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  385.    wt: 3:   Chapter 1 Arithmetic
  386.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  387.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  388.    wt: 3:   Mathematics Education References
  389.    wt: 3:   Mathematics Education References
  390.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  391.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  392.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  393.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  394.    wt: 2:   J LAMP Introduction Extrinsic Origins
  395.    wt: 2:   I LAMP Introduction Study Habits
  396.    wt: 2:   H LAMP Introduction Instructional Concepts
  397.    wt: 2:   G LAMP Introduction Problem Solving Skills
  398.    wt: 2:   F LAMP Introduction Prerequisites
  399.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  400.    wt: 2:   A Introduction Objectives
  401.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  402.    wt: 2:   chapitre 06 00 Chaines de la raison
  403.    wt: 2:   chapitre 05 00 Deception
  404.    wt: 2:   chapitre 04 09 Regles accidentelles
  405.    wt: 2:   chapitre 04 08 Limitations et benefices
  406.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  407.    wt: 2:   chapitre 04 06 engagements
  408.    wt: 2:   chapitre 04 05 Implication versus suggestion
  409.    wt: 2:   chapitre 04 04 Parlons de la logique
  410.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  411.    wt: 2:   chapitre 04 02 Deuxieme enigme
  412.    wt: 2:   chapitre 04 00 Les regles d implication
  413.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  414.    wt: 2:   chapitre 02 00 La Communication des idees
  415.    wt: 2:   problemes responses
  416.    wt: 2:   A Energy Power01
  417.    wt: 2:   C Wire Resistance Calculation01
  418.    wt: 2:   A Wire Resistance Qualitative01
  419.    wt: 2:   2 Unlike resistors in parallel01
  420.    wt: 2:   1 Like resistors in series
  421.    wt: 2:   B Electromotive force conventional current01
  422.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  423.    wt: 2:   14 Multiplication and Times Tables
  424.    wt: 2:   13 Addition and Addition Tables
  425.    wt: 2:   1 Speaking Skills
  426.    wt: 2:   Ages 9 to 10
  427.    wt: 2:   sign monoticity analysis example 1
  428.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  429.    wt: 2:   19 Horizontal line rule and method
  430.    wt: 2:   18 Vertical Line Rule and Method
  431.    wt: 2:   17 Function maxima minima and their location
  432.    wt: 2:   16 Increasing or decreasing on intervals
  433.    wt: 2:   15 Sign analysis of functions
  434.    wt: 2:   14 Surjections Injections Bijections
  435.    wt: 2:   13 From one to one to many to one
  436.    wt: 2:   12 Function Domain Recognition Exercises
  437.    wt: 2:   10 Interval Notation
  438.    wt: 2:   5 Function notation for geometric transformations
  439.    wt: 2:   1 Geometric Introduction of Function Notation
  440.    wt: 2:   8 quadratics backward use of various formulas
  441.    wt: 2:   7 quadratic formulla derivation
  442.    wt: 2:   1 quadratics graphing exercises
  443.    wt: 2:   10 Exponential Growth and Decay Models
  444.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  445.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  446.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  447.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  448.    wt: 2:   1 Calculator Starter Exercises
  449.    wt: 2:   7 Links Lessons Elsewhere
  450.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  451.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  452.    wt: 2:   4 Polynomials Long division linear divisor
  453.    wt: 2:   3 Polynomials Multiplication Addition
  454.    wt: 2:   2 Column Multiplication Method
  455.    wt: 2:   9 Summary Degrees to Radians and back
  456.    wt: 2:   8 Radian Measures of Common Angles
  457.    wt: 2:   7 Radian Measures in special Triangles
  458.    wt: 2:   6 Radian Measure to Degrees
  459.    wt: 2:   5 Degrees to Radian Measure
  460.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  461.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  462.    wt: 2:   A Global Time and Navigation
  463.    wt: 2:   9 Head to Tail Coordinate View
  464.    wt: 2:   8 Parallel Vectors
  465.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  466.    wt: 2:   6 Vectors with Coordinates
  467.    wt: 2:   5 Head To Tail Arrow Addition
  468.    wt: 2:   4 Resultant of a Sum of Movements
  469.    wt: 2:   3 Navigation with Arrows or Vectors
  470.    wt: 2:   2 Signed Coordinates
  471.    wt: 2:   Vector and Complex Number Applet
  472.    wt: 2:   4 graphing y=Asin(x c)
  473.    wt: 2:   3 graphing y=f(x c) plus K
  474.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  475.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  476.    wt: 2:   Straight Lines ASA Intersection Study More
  477.    wt: 2:   Straight Lines Instersection Solving Equations
  478.    wt: 2:   Straight Lines Intersection of
  479.    wt: 2:   11 Straight Lines Graphing y=mx
  480.    wt: 2:   10 Straight Lines through Origin Equations More
  481.    wt: 2:   1 Straight Lines Slope Concept
  482.    wt: 2:   32 seven rows of pascals triangle
  483.    wt: 2:   31 basic secant cosecant cotangent trig identities
  484.    wt: 2:   29 secant cosecant and cotangent for acute angles
  485.    wt: 2:   25 tangent double angle formula Slope connection
  486.    wt: 2:   24 tangent Angle Difference Formula
  487.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  488.    wt: 2:   10 Graphs of sines and cosines many periods
  489.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  490.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  491.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  492.    wt: 2:   21 Logarithms Powers and Exponentials
  493.    wt: 2:   19 N th Roots of Unity
  494.    wt: 2:   18 Sixth Roots of Unity
  495.    wt: 2:   17 Cube Roots of unity
  496.    wt: 2:   16 References and Originality Question
  497.    wt: 2:   15 Pythagorean Theorem Converse
  498.    wt: 2:   14 Law of cosines
  499.    wt: 2:   1 Rectangular Polar Coordinates Review
  500.    wt: 2:   1 Angle Measurement with Degrees
  501.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  502.    wt: 2:   12 Triangles Similarity More Problems
  503.    wt: 2:   3 Similarity by Design with coordinates
  504.    wt: 2:   1 Early Concept of Like or Similar Shapes
  505.    wt: 2:   Four Simple Exercises
  506.    wt: 2:   8 Mid Point Formula
  507.    wt: 2:   3 Slope product for perpendicular lines
  508.    wt: 2:   2 point slope equation for a line
  509.    wt: 2:   12 Spatial Coordinates
  510.    wt: 2:   1 Cartesian Coordinates sans signs
  511.    wt: 2:   21 Parallelograms
  512.    wt: 2:   19 Right Triangle Similarity
  513.    wt: 2:   17 Right Bisectors of Triangle Sides
  514.    wt: 2:   16 Angles Subtended By Chords and Diameters
  515.    wt: 2:   14 Parallel Lines Postulate
  516.    wt: 2:   13 Angle Side Angle Failure
  517.    wt: 2:   12 Side Angle Side Failure
  518.    wt: 2:   10 Dropping a perpendicular to line
  519.    wt: 2:   1 Initial Concepts and Terms
  520.    wt: 2:   A Measurement with Ruler Proper Use
  521.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  522.    wt: 2:   6 Figuring with Maps Not to Scale
  523.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  524.    wt: 2:   4 Angles on Maps Plans drawn to scale
  525.    wt: 2:   3 Lengths and Areas on Maps and Plans
  526.    wt: 2:   2 Measuring Area Directly
  527.    wt: 2:   11 Signed Number Addition and Addition Properties
  528.    wt: 2:   1 Fractions with Finite Decimal Expansions
  529.    wt: 2:   1 The Counting Origins of Numbers
  530.    wt: 2:   5 Areas of Rectangles Revisited
  531.    wt: 2:   4 Fraction Operations Axiomatic Development
  532.    wt: 2:   3 Inequalities Algebraically
  533.    wt: 2:   2 Fraction Operations Physical Development
  534.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  535.    wt: 2:   6 Compound Interest Forward and Backwards
  536.    wt: 2:   5 Triangle Area Formula Backwards
  537.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  538.    wt: 2:   1 Changing Calculations
  539.    wt: 2:   11 Real Number Addition
  540.    wt: 2:   9 Coordinates for Regions in Space
  541.    wt: 2:   8 Coordinates for Maps and Planes
  542.    wt: 2:   3 Geometric Formulas and Function Notation
  543.    wt: 2:   1 GE Substitution four examples
  544.    wt: 2:   1 Essentially One Unknown
  545.    wt: 2:   9 Three Examples
  546.    wt: 2:   8 One Example
  547.    wt: 2:   7 Two Examples
  548.    wt: 2:   6 Three Examples
  549.    wt: 2:   5 Three Examples
  550.    wt: 2:   4 Two Examples
  551.    wt: 2:   3 Two Examples
  552.    wt: 2:   2 Three Examples
  553.    wt: 2:   Using Letters for Physical Quantities
  554.    wt: 2:   Formula Usage Show Work Format
  555.    wt: 2:   9 Volume of Cone
  556.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  557.    wt: 2:   1 Finite Sets
  558.    wt: 2:   arithmetic videos Real Player Format
  559.    wt: 2:   1 Counting and Counting Methods I
  560.    wt: 2:   4 signed coordinates for regions in space
  561.    wt: 2:   3 signed coordinates for maps and planes
  562.    wt: 2:   7 Converting or Changing Units
  563.    wt: 2:   6 Simplification of Fractions with Units
  564.    wt: 2:   4 Fractions with Units
  565.    wt: 2:   3 Multiplying Units and Numbers
  566.    wt: 2:   2 Equality and Units
  567.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  568.    wt: 2:   9 Improper Fractions and Mixed Numbers
  569.    wt: 2:   8 Numerals Fractionals Quantals Take II
  570.    wt: 2:   7 Numerals Fractionals Quantals
  571.    wt: 2:   6 Multiplication of Mixed Numbers
  572.    wt: 2:   6 Multiplication Algebraically Take II
  573.    wt: 2:   5 Equivalent Fractions
  574.    wt: 2:   4 Fraction Multiplication
  575.    wt: 2:   3 Unit fraction of a fraction
  576.    wt: 2:   2 Unit Fraction Multiplication
  577.    wt: 2:   B Integer Long Division Multiple Choices
  578.    wt: 2:   A Associative Law Theorectical Note
  579.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  580.    wt: 2:   26 Divisibility by 2 3 5 Example
  581.    wt: 2:   21 Remainder Arithmetic Modulo 3
  582.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  583.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  584.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  585.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  586.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  587.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  588.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  589.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  590.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  591.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  592.    wt: 2:   9 video Prime Factorization upto 19 squared
  593.    wt: 2:   8 video Prime Factorization upto 19
  594.    wt: 2:   2 Prime and Composites less than 16
  595.    wt: 2:   D Decimal Multiplication Methods Derived
  596.    wt: 2:   A Elementary Basis for Multiplication Methods
  597.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  598.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  599.    wt: 2:   Video Power Notation in Decimal Expansion
  600.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  601.    wt: 2:   Subtraction with J Conversions Example
  602.    wt: 2:   Subtraction Another Video Lesson
  603.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  604.    wt: 2:   5 A Tip for Efficent Subtraction
  605.    wt: 2:   8 What skills and work habits to require
  606.    wt: 2:   7 Adding decimal fractions using decimal point
  607.    wt: 2:   6. Counting and adding units and mixed units
  608.    wt: 2:   5. How to add decimals C. Examples
  609.    wt: 2:   4. How to add with decimals B with conversions
  610.    wt: 2:   3. How to add with decimals A sans conversions
  611.    wt: 2:   2 Decimal Counting Practices
  612.    wt: 2:   Formula Evaluation how to show work
  613.    wt: 2:   The 12 Times Table Visually
  614.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  615.    wt: 2:   016 Numbering Occidental Calendar Days
  616.    wt: 2:   015 School and work day counting tables
  617.    wt: 2:   014 Counting Days with Calendars
  618.    wt: 2:   013 Travel Time Tables
  619.    wt: 2:   012 Division of Time Intervals by Time Intervals
  620.    wt: 2:   010 Repeated Addition of Time Intervals
  621.    wt: 2:   Volume of Solid by Cross Sections Lesson
  622.    wt: 2:   Example 4 with x function of y
  623.    wt: 2:   Example 3
  624.    wt: 2:   Summary
  625.    wt: 2:   A Related Material in Volume 3
  626.    wt: 2:   1 Chain Rule in Reverse Integration Method
  627.    wt: 2:   31 Derivatives of inverse functions
  628.    wt: 2:   29 Chain Rule Optional Reading
  629.    wt: 2:   28 Chain Rule Preparation for a Proof
  630.    wt: 2:   22 Chain Rule for polynomials
  631.    wt: 2:   18 Chain Rule Introduction
  632.    wt: 2:   17 Derivatives of quotients of sine and cosine
  633.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  634.    wt: 2:   15 sine and cosine derivatives 3rd step
  635.    wt: 2:   14 sine and cosine derivatives 2nd step
  636.    wt: 2:   12 Quotient rule examples
  637.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  638.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  639.    wt: 2:   F.3 Intermediate Value Theorem
  640.    wt: 2:   PostScript For and Against Decimal Perspectives
  641.    wt: 2:   A1. Introduction
  642.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  643.    wt: 2:   Chapter 21 Arrow Addition
  644.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  645.    wt: 2:   Chapter 18. Slopes Areas Integration
  646.    wt: 2:   Chapter 17. Area Approximation
  647.    wt: 2:   Chapter 16. Velocity Approximation
  648.    wt: 2:   Chapter 15. Slope Approximation
  649.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  650.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  651.    wt: 2:   Chapter 13. Acceleration
  652.    wt: 2:   Chapter 12. Units and Slopes
  653.    wt: 2:   Chapter 10 Slopes and Units
  654.    wt: 2:   Chapter 1.Introduction
  655.    wt: 2:   Foreword
  656.    wt: 2:   Postscript More on Better Performance
  657.    wt: 2:   Appendix E. How To Study Mathematics and Why
  658.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  659.    wt: 2:   Chapter 23. Notation For Sums
  660.    wt: 2:   Chapter 8 Three Skills For Algebra
  661.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  662.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  663.    wt: 2:   Foreword
  664.    wt: 2:   Chapter 9 The Two Ends
  665.    wt: 2:   Chapter 8 Modern Instruction
  666.    wt: 2:   Chapter 7 Two Treatments of Geometry
  667.    wt: 2:   Chapter 5 Four References
  668.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  669.    wt: 2:   Chapter 3 Algebra Difficulties
  670.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  671.    wt: 2:   Postscript B More on Story Telling and Reason
  672.    wt: 2:   Postscript A Story Telling
  673.    wt: 2:   Chapter 24 Direct and Indirect Reason
  674.    wt: 2:   Chapter 23 Truth Tables
  675.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  676.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  677.    wt: 2:   Chapter 8 Change of Language
  678.    wt: 2:   Chapter 7 Longer Chains of Reason
  679.    wt: 2:   Chapter 6 Chains of Reason
  680.    wt: 2:   Chapter 5 Deception
  681.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  682.    wt: 2:   Chapter 2 Skill Development
  683.    wt: 2:   Three Remarks
  684.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  685.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  686.    wt: 2:   R Why Learn Mathematics Skills
  687.    wt: 2:   O On Learning Mathematics and Science
  688.    wt: 2:   N Improving Marks on Tests and Finals
  689.    wt: 2:   G. Written work formats for developing and showing skill
  690.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  691.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  692.    wt: 2:   7 Games and Activities for Instruction
  693.    wt: 2:   Helping the Blind in Logic and Mathematics
  694.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  695.    wt: 2:   More Algebra and Slope based Calculus Preview
  696.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  697.    wt: 2:   The Math Forum and Site Content
  698.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  699.    wt: 1:   problemes algebre et arithmetique
  700.    wt: 1:   1 Energy Power Heat06
  701.    wt: 1:   F Wire Resistance Calculation04
  702.    wt: 1:   E Wire Resistance Calculation03
  703.    wt: 1:   D Wire Resistance Calculation02
  704.    wt: 1:   B Wire Resistance Qualitative02
  705.    wt: 1:   3 Like resistors in parallel
  706.    wt: 1:   G Series Circuit01
  707.    wt: 1:   C Electromotive force conventional current02
  708.    wt: 1:   A Circuit Elements
  709.    wt: 1:   Home Tutoring and Home Schooling
  710.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  711.    wt: 1:   24 Standards For Skill Develoment Take II
  712.    wt: 1:   24 Standards For Skill Develoment
  713.    wt: 1:   22 Student Centered Highschool Mathematics
  714.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  715.    wt: 1:   5 Patience Please for Yourself and Your Charges
  716.    wt: 1:   4 Learning Takes Time and Effort
  717.    wt: 1:   3 Preparing for Science Studies
  718.    wt: 1:   Ages 8 to 9
  719.    wt: 1:   Ages 7 to 8
  720.    wt: 1:   Ages 6 to 7
  721.    wt: 1:   Ages 4 plus to 5 plus
  722.    wt: 1:   Ages 3 plus to 4 plus
  723.    wt: 1:   6 Set Existence Formation and Notation
  724.    wt: 1:   4 Function notation in and beyond mathematics
  725.    wt: 1:   3 Formula or function graphing exercise
  726.    wt: 1:   Introduction Reading Guide
  727.    wt: 1:   9 quadratics physical and further context
  728.    wt: 1:   6 quadratics numerical approach
  729.    wt: 1:   5 quadratics completing the square
  730.    wt: 1:   4 quadratics difference of two squares
  731.    wt: 1:   3 quadratics factoring by inspection
  732.    wt: 1:   2 quadratics graphing in general
  733.    wt: 1:   Quadratics in 10 steps
  734.    wt: 1:   14 Straight Lines Equations General Case
  735.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  736.    wt: 1:   12 Straight Lines Graphing mx plus b
  737.    wt: 1:   8 Straight Lines Equation for vertical
  738.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  739.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  740.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  741.    wt: 1:   30 unit circle calculation of six trigonometric functions
  742.    wt: 1:   28 Expressing products of sines cosines as sums
  743.    wt: 1:   27 Logarithmic use of products of sines and cosines
  744.    wt: 1:   9 Graphs of sine and cosine over one period
  745.    wt: 1:   8 period of tangent function
  746.    wt: 1:   7 period of sine and cosine
  747.    wt: 1:   1 Unit Points Reflections Rotations
  748.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  749.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  750.    wt: 1:   8 Similarity of Triangles and Polygons
  751.    wt: 1:   7 Translations Rotations Reflections Dilatations
  752.    wt: 1:   6 Geometric Diagrams in Class
  753.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  754.    wt: 1:   4 Similarity Definition with Coordinate
  755.    wt: 1:   2 Similarity By Design
  756.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  757.    wt: 1:   7 Exercises to test skill and concept mastery
  758.    wt: 1:   6 Intersection of lines by solving linear systems
  759.    wt: 1:   5 Algebraic View of Slopes
  760.    wt: 1:   What is and is not here
  761.    wt: 1:   PS H Distributive Law For Complex Numbers
  762.    wt: 1:   PS A Kite Construction Methods
  763.    wt: 1:   A Modular and Remainder Arithmetic
  764.    wt: 1:   21 Addition of Multiples of a Single Vector
  765.    wt: 1:   19 Signed Multiples of Vectors
  766.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  767.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  768.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  769.    wt: 1:   15 Head to Tails in place Addition Associative
  770.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  771.    wt: 1:   13 Arrows and Vectors in a Plane
  772.    wt: 1:   12 Real Numbers Line Signed Coordinates
  773.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  774.    wt: 1:   9 Division with Digits after Decimal Point
  775.    wt: 1:   8 Division and Mulplication of Compound Fractions
  776.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  777.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  778.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  779.    wt: 1:   4 Location of Point in Decimal Addition
  780.    wt: 1:   3 Location of Point in Decimal Multiplication
  781.    wt: 1:   2 Counting Digits in Decimal Multiplication
  782.    wt: 1:   6 Column Methods for Decimal Multiplication
  783.    wt: 1:   5 Distributive Law for Whole Numbers
  784.    wt: 1:   4 Commutative Law Groups Counting Form
  785.    wt: 1:   5 Proportionality in Equivalent Fractions
  786.    wt: 1:   4 Rates Ratios and Proporitionality
  787.    wt: 1:   3 Proportionality Examples
  788.    wt: 1:   2 Algebraic View
  789.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  790.    wt: 1:   3 Linear Equation Literal Solution More
  791.    wt: 1:   2 Linear Equation Literal Solution
  792.    wt: 1:   3 Product Axioms Two Forms
  793.    wt: 1:   1 Equivalent Computation Rules
  794.    wt: 1:   2 More and Less Than for Counts and Measures
  795.    wt: 1:   1 Real Numbers Comparison
  796.    wt: 1:   16 Real Numbers Comparison
  797.    wt: 1:   15 Real Number Division
  798.    wt: 1:   14 Real Number Multiplication
  799.    wt: 1:   13 Real Number Subtraction
  800.    wt: 1:   12 Real Number Additive Inverses or Negatives
  801.    wt: 1:   10 Real Number Lengths and Signs
  802.    wt: 1:   7 Real Numbers as Line Cordinates
  803.    wt: 1:   6 Unsigned Real Numbers
  804.    wt: 1:   1 Whole and Natural Numbers
  805.    wt: 1:   5 Independent versus Dependent Variables
  806.    wt: 1:   4 Changing Letters
  807.    wt: 1:   2 Computation Rules Evaluation
  808.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  809.    wt: 1:   6 Algebraic Solution Example
  810.    wt: 1:   5 Algebraic Solutions Introduction
  811.    wt: 1:   4 Four Examples Fractional Coefficients
  812.    wt: 1:   3 Four Examples
  813.    wt: 1:   2 Three Examples
  814.    wt: 1:   9 Sets in Probability and Statistics
  815.    wt: 1:   8 Sets of Numbers
  816.    wt: 1:   7 Cautious or Safe Set Construction
  817.    wt: 1:   6 Power Set Notation
  818.    wt: 1:   5 Product Builder Notation
  819.    wt: 1:   4 Subset Builder Notation
  820.    wt: 1:   3 Counting with Sets etc
  821.    wt: 1:   2 Venn Diagrams
  822.    wt: 1:   6 Three Notions of What is a Variable
  823.    wt: 1:   5 Talking about Numbers and Quantities
  824.    wt: 1:   4 A Brief Story of numbers and algebra
  825.    wt: 1:   3 Adding Words To Arithmetic
  826.    wt: 1:   2 What is a Variable
  827.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  828.    wt: 1:   4 Counting with Trees Product Rule Take I
  829.    wt: 1:   3 Counting with Tables and Trees II
  830.    wt: 1:   2 Counting with Tables and Trees I
  831.    wt: 1:   9 subtracting signed numbers
  832.    wt: 1:   8 multiplying signed numbers
  833.    wt: 1:   7 negative and additive inverse
  834.    wt: 1:   6 adding signed numbers
  835.    wt: 1:   5 lengths and signs of numbers
  836.    wt: 1:   2 signed and unsigned numbers as coordinates
  837.    wt: 1:   D Three Term Ratios
  838.    wt: 1:   B Fractions and Two Term Ratios
  839.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  840.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  841.    wt: 1:   9 Multiplying Integers
  842.    wt: 1:   8 Multiplication by Signed Numbers Integers
  843.    wt: 1:   7 Multiplication by Signs
  844.    wt: 1:   6 Multiplication by Natural Numbers
  845.    wt: 1:   5 Zero Movement and Additive Inverses
  846.    wt: 1:   4 Adding Movements wiht opposite directions
  847.    wt: 1:   3 Adding Movements with same direction
  848.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  849.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  850.    wt: 1:   23 Remainder Arithmetic Modulo 2
  851.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  852.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  853.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  854.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  855.    wt: 1:   5 Remainder Arithmetic Modulo 5
  856.    wt: 1:   20 Uniqueness of Prime Factorization
  857.    wt: 1:   7 Calculator Usage Notes and Cautions
  858.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  859.    wt: 1:   5 Prime Factorization and a Square Rule
  860.    wt: 1:   4 video Prime Factorization Introduction
  861.    wt: 1:   3 video Primes and Composites from 9 times table
  862.    wt: 1:   Long Division Backwards more
  863.    wt: 1:   Long Division Backward
  864.    wt: 1:   9 Why Long Division Works Take II
  865.    wt: 1:   8 Correcting the Mistake
  866.    wt: 1:   7 Long Divison Mistake Catching
  867.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  868.    wt: 1:   5 Long Division Include Zeroes or not
  869.    wt: 1:   4 Division with 2 Digit Divsors
  870.    wt: 1:   3 Division Single Digit Divisor Example
  871.    wt: 1:   2 Division with Single Digit Divisors
  872.    wt: 1:   C Counting Areas with Powers of Ten
  873.    wt: 1:   B Powers of Ten
  874.    wt: 1:   6 Multiplication Commutes Order Not Important
  875.    wt: 1:   5 Decimal Fraction Multiplication
  876.    wt: 1:   4 Two and Three Digit Multipliers
  877.    wt: 1:   3 More One Digit Multipliers
  878.    wt: 1:   2 One Digit Multipliers
  879.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  880.    wt: 1:   9 22 Minute Subtraction Review Video
  881.    wt: 1:   8 Subtraction with Units of Measure
  882.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  883.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  884.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  885.    wt: 1:   2 Subtraction Easy Case Examples
  886.    wt: 1:   Quick history of numbers and algebra
  887.    wt: 1:   Exact Arithmetic Wholes and Fractions
  888.    wt: 1:   Expression Evaluation how to show work
  889.    wt: 1:   The 20 Times Table
  890.    wt: 1:   About folder contents
  891.    wt: 1:   1 Intro of Kids To Time Date Skills
  892.    wt: 1:   5 Area Under Curve Exercise
  893.    wt: 1:   4 Definite Integrals Evaluation Exercises
  894.    wt: 1:   3 Two Chain Rule Method Exercises
  895.    wt: 1:   2 Indefinite Integrals Exercises
  896.    wt: 1:   A Related lessons in Volume 3
  897.    wt: 1:   4 Second derivative test exercise example
  898.    wt: 1:   3 Second derivative test
  899.    wt: 1:   2 Second derivative test prequel
  900.    wt: 1:   A Chain Rule Real Player video examples
  901.    wt: 1:   36 Cube root derivative animated
  902.    wt: 1:   34 Derivative of exponential function
  903.    wt: 1:   33 Chain Rule Real Player video examples
  904.    wt: 1:   30Chain Rule A Proof
  905.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  906.    wt: 1:   26 Chain Rule Recognising outer inner functions
  907.    wt: 1:   25 Chain Rule Animated Examples Continued
  908.    wt: 1:   24 Chain Rule Animated Examples
  909.    wt: 1:   23 Chain Rule in general
  910.    wt: 1:   9 Reciprocal rule
  911.    wt: 1:   8 Differentiation of polynomials
  912.    wt: 1:   7 Animated Differentiation Examples
  913.    wt: 1:   6 Power rule from product rule
  914.    wt: 1:   5 Product Rule
  915.    wt: 1:   4 Sum Rule
  916.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  917.    wt: 1:   G.5 Motions With Bounded Velocities
  918.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  919.    wt: 1:   G.3 Constant Difference Theorem Proof
  920.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  921.    wt: 1:   F.5b Extreme Value Theorem
  922.    wt: 1:   F.5a Equicontinuity Theorems
  923.    wt: 1:   F.4 Finite Covering Theorem
  924.    wt: 1:   F.2 Closed Range Theorem
  925.    wt: 1:   F.1 What Functions are Continuous
  926.    wt: 1:   E1 Error Control Inequalities
  927.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  928.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  929.    wt: 1:   Fall 1983 Calculus Appetizer
  930.    wt: 1:   Appendix D. What to do in School and Why
  931.    wt: 1:   Appendix C. How to Read
  932.    wt: 1:   Appendix B. How To Learn
  933.    wt: 1:   Chapter 30 Truth Tables
  934.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  935.    wt: 1:   Chapter 28 Occurrence Tables
  936.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  937.    wt: 1:   Chapter 25. Mathematical Induction Examples
  938.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  939.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  940.    wt: 1:   Chapter 20. Degrees and Radians
  941.    wt: 1:   Postscript What is a Variable
  942.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  943.    wt: 1:   Chapter 6 Change of Language
  944.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  945.    wt: 1:   Chapter 4 Longer Chains of Reason
  946.    wt: 1:   Chapter 3 Chains of Reason
  947.    wt: 1:   S Adding words to algebra
  948.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  949.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  950.    wt: 1:   M Words to extend arithmetic
  951.    wt: 1:   L Skills with take home value
  952.    wt: 1:   J. More on written work and showing skill
  953.    wt: 1:   A. Skill has to be seen to believed
  954.    wt: 1:   Chapter 8 Skipped Topics and Why
  955.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  956.    wt: 1:   Chapter 6 More Algebra and Geometry
  957.    wt: 1:   Chapter 3 Algebra Starter Lessons
  958.    wt: 1:   Chapter 2 Why Sets
  959.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  960.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  961.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  962.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  963.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  964.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  965.    wt: 1:   Implementation Notes
  966.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  967.    wt: 1:   Systematic Algebra Skill Development Missing Links
  968.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  969.    wt: 1:   Which Way To Go
  970.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

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.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

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

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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