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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  1.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 4:   Mathematics Education Essays/
  3.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  5.    wt: 3:   4 Functions/
  6.    wt: 3:   8 Unit Circle Trigonometry/
  7.    wt: 3:   4 Lines and Slopes Take 1/
  8.    wt: 3:   8 Arithmetic with Signed Numbers/
  9.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  10.    wt: 2:   LAMP Lean Applied Mathematics Program/
  11.    wt: 2:   13 Vectors/
  12.    wt: 2:   Step 4 Gaussian Elimination/
  13.    wt: 2:   9 Combinatorics Trees Tables and Products/
  14.    wt: 2:   3 Prime Factorization Skills/
  15.    wt: 2:   D Decimal Long Division Methods/
  16.    wt: 2:   5 Lessons on Integration/
  17.    wt: 2:   4 Lessons on Using Derivatives/
  18.    wt: 2:   38 Lessons on Calculating Derivatives/
  19.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  20.    wt: 2:   Volume 2 Three Skills For Algebra/
  21.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  22.    wt: 2:   Secondary Mathematics A Practical Approach/
  23.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  24.    wt: 1:   Archives/
  25.    wt: 1:   Volume 1A Regles et modeles/
  26.    wt: 1:   francais/
  27.    wt: 1:   Mathematics Skills Year by Year/
  28.    wt: 1:   3 Quadratics Geometrically/
  29.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  30.    wt: 1:   1 Five Polynomial Operations/
  31.    wt: 1:   More Algebra/
  32.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  33.    wt: 1:   12 Function Translating and Rescaling/
  34.    wt: 1:   11 Parallel Straight Lines and Transversals/
  35.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  36.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  37.    wt: 1:   7 Complex Numbers/
  38.    wt: 1:   6 Trigonometry first steps/
  39.    wt: 1:   5 What is Similarity/
  40.    wt: 1:   3 Cartesian and Polar Coordinates/
  41.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  42.    wt: 1:   1 Maps Plans Measurement/
  43.    wt: 1:   Geometry maps plans trigonometry vectors/
  44.    wt: 1:   8 Unifying Theme For Algebra/
  45.    wt: 1:   4 Computation Rules and Function Notation/
  46.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  47.    wt: 1:   11 Squares and Square Roots/
  48.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  49.    wt: 1:   7 Arithmetic and Fractions with Units/
  50.    wt: 1:   6 Fractions and Ratios/
  51.    wt: 1:   5 Integers/
  52.    wt: 1:   C Decimal Multiplication Methods/
  53.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  54.    wt: 1:   A Decimal Counting and Adding Methods/
  55.    wt: 1:   2 Arithmetic with Decimals/
  56.    wt: 1:   1 Decimal Place Value/
  57.    wt: 1:   Arithmetic and Number Theory Skills/
  58.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  59.    wt: 1:   13 Lessons on Limits and Continuity/
  60.    wt: 1:   70 Calculus Starter Lessons/
  61.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  62.    wt: 1:   Volume 1A Pattern Based Reason/
  63.    wt: 1:   Volume 1 Elements of Reason/
  64.    wt: 1:   Mathematics 506 Lessons/
  65.    wt: 1:   Mathematics Skill Development Framework/

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350 matches:

  1.    wt: 3:   04 25 when to stop or suspend mathemat
  2.    wt: 3:   13 From one to one to many to one
  3.    wt: 3:   8 Notes for instructors or tutors
  4.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  5.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  6.    wt: 3:   18 video Count Factors given Prime Factorization
  7.    wt: 3:   14 video Factors of 24 Take II
  8.    wt: 3:   8 video Prime Factorization upto 19
  9.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  10.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  11.    wt: 2:   Mathematics Education Professors
  12.    wt: 2:   three goals for Mathematics Education
  13.    wt: 2:   04 29 New Mathematics Curriculum
  14.    wt: 2:   02 20 mathematics education references
  15.    wt: 2:   Education in mathematics science and technology
  16.    wt: 2:   Four ways to improve education reform
  17.    wt: 2:   How to be a better instructor
  18.    wt: 2:   words for mathematics instructor
  19.    wt: 2:   chapitre 04 08 Limitations et benefices
  20.    wt: 2:   chapitre 04 04 Parlons de la logique
  21.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  22.    wt: 2:   18 Primary School Mathematics
  23.    wt: 2:   Ages 12 to 14 Skills with take home value
  24.    wt: 2:   Ages 12 to 14 Geometry
  25.    wt: 2:   Ages 12 to 14 Arithmetic
  26.    wt: 2:   Ages 8 to 9
  27.    wt: 2:   Ages 7 to 8
  28.    wt: 2:   Ages 4 plus to 5 plus
  29.    wt: 2:   Ages 3 plus to 4 plus
  30.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  31.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  32.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  33.    wt: 2:   4 Function notation in and beyond mathematics
  34.    wt: 2:   12 From Applied To Pure Mathematics
  35.    wt: 2:   8 Parallel Vectors
  36.    wt: 2:   Triangle Angles Sum To 180 Degrees
  37.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  38.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  39.    wt: 2:   4 Polar Coordinates to and from
  40.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  41.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  42.    wt: 2:   4 Angles on Maps Plans drawn to scale
  43.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  44.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  45.    wt: 2:   4 A Brief Story of numbers and algebra
  46.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  47.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  48.    wt: 2:   4 LCM of 8 and 10 via Prime
  49.    wt: 2:   12 GCD 2700 288 via Prime
  50.    wt: 2:   18 Efficient Ways to Multiply
  51.    wt: 2:   14 Adding and Subtracting with Like Denominators
  52.    wt: 2:   16 video Factors of 980 using prime
  53.    wt: 2:   15 video Factors of 20 using Prime Factorization
  54.    wt: 2:   13 video Factors of 24 using prime
  55.    wt: 2:   10 video Prime Factorization upto 23 squared
  56.    wt: 2:   9 video Prime Factorization upto 19 squared
  57.    wt: 2:   4 video Prime Factorization Introduction
  58.    wt: 2:   8 What skills and work habits to require
  59.    wt: 2:   4. How to add with decimals B with conversions
  60.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  61.    wt: 2:   8 Addition of Time Intervals via subtotaling
  62.    wt: 2:   Appendix E. How To Study Mathematics and Why
  63.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  64.    wt: 2:   Postscript B Mathematics Education References
  65.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  66.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  67.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  68.    wt: 2:   A. Skill has to be seen to believed
  69.    wt: 2:   Chapter 8 Skipped Topics and Why
  70.    wt: 2:   Mathematics Education References
  71.    wt: 2:   Mathematics Education References
  72.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  73.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  74.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  75.    wt: 1:   K LAMP Musings Science Education
  76.    wt: 1:   E LAMP Introduction Modern Mathematics
  77.    wt: 1:   Skills Chapter 4 Logic
  78.    wt: 1:   11 pure mathematics
  79.    wt: 1:   9 combinatorics probability sets
  80.    wt: 1:   8 analytic geometry etc
  81.    wt: 1:   4 algebra
  82.    wt: 1:   which way to go
  83.    wt: 1:   three goals to set for students
  84.    wt: 1:   Applied Maths Program14092009 POMME variant
  85.    wt: 1:   links Education Resources online
  86.    wt: 1:   modern education
  87.    wt: 1:   grouping students according to ability
  88.    wt: 1:   mathematics in context
  89.    wt: 1:   Education Reform Inconsistencies
  90.    wt: 1:   Secondary Three Mathematics
  91.    wt: 1:   Secondary Two Mathematics
  92.    wt: 1:   Secondary One Mathematics
  93.    wt: 1:   What to Tell Students
  94.    wt: 1:   mathematics curriculum shifts
  95.    wt: 1:   teaching tutoring algebraic reason
  96.    wt: 1:   three aims for mathematics students
  97.    wt: 1:   Operational Viewpoint to Value
  98.    wt: 1:   mathematics instruction in general
  99.    wt: 1:   three kinds of reason in mathematics
  100.    wt: 1:   need for a mixed mathematics curriculum
  101.    wt: 1:   Leaner mathematics curriculum
  102.    wt: 1:   education an empirical art
  103.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  104.    wt: 1:   chapitre 04 09 Regles accidentelles
  105.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  106.    wt: 1:   chapitre 04 06 engagements
  107.    wt: 1:   chapitre 04 05 Implication versus suggestion
  108.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  109.    wt: 1:   chapitre 04 02 Deuxieme enigme
  110.    wt: 1:   chapitre 04 01 Premiere enigme
  111.    wt: 1:   chapitre 04 00 Les regles d implication
  112.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  113.    wt: 1:   4 Energy Power Heat09
  114.    wt: 1:   3 Energy Power Heat08
  115.    wt: 1:   D Energy Power04
  116.    wt: 1:   F Wire Resistance Calculation04
  117.    wt: 1:   3 Like resistors in parallel
  118.    wt: 1:   2 Unlike resistors in parallel01
  119.    wt: 1:   1 Like resistors in series
  120.    wt: 1:   F Unlike Resistors in Series
  121.    wt: 1:   Home Tutoring and Home Schooling
  122.    wt: 1:   24 Standards For Skill Develoment Take II
  123.    wt: 1:   24 Standards For Skill Develoment
  124.    wt: 1:   22 Student Centered Highschool Mathematics
  125.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  126.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  127.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  128.    wt: 1:   17 Math Booklets for children and young teenagers
  129.    wt: 1:   16 Secondary Mathematics Tips
  130.    wt: 1:   14 Multiplication and Times Tables
  131.    wt: 1:   12 Goals and Objectives For Mathematics
  132.    wt: 1:   11 Help and Defend Your Child or Teens Education
  133.    wt: 1:   8 The Effect of Negative Remarks
  134.    wt: 1:   4 Learning Takes Time and Effort
  135.    wt: 1:   Ages 10 to 12 Geometry
  136.    wt: 1:   Ages 10 to 12 Arithmetic
  137.    wt: 1:   Ages 9 to 10
  138.    wt: 1:   Ages 6 to 7
  139.    wt: 1:   sign monoticity analysis example 4
  140.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  141.    wt: 1:   18 Vertical Line Rule and Method
  142.    wt: 1:   14 Surjections Injections Bijections
  143.    wt: 1:   8 Set view of relations and functions
  144.    wt: 1:   8 quadratics backward use of various formulas
  145.    wt: 1:   4 quadratics difference of two squares
  146.    wt: 1:   3 quadratics factoring by inspection
  147.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  148.    wt: 1:   5 Natural Logarithm Calculator Exercises
  149.    wt: 1:   1 Calculator Starter Exercises
  150.    wt: 1:   4 Polynomials Long division linear divisor
  151.    wt: 1:   14 secant function Definition Graph and Inverse
  152.    wt: 1:   8 arcsin left inverse of sine Graph
  153.    wt: 1:   4 possible motivation for term arccos
  154.    wt: 1:   9 Summary Degrees to Radians and back
  155.    wt: 1:   8 Radian Measures of Common Angles
  156.    wt: 1:   6 Radian Measure to Degrees
  157.    wt: 1:   5 Degrees to Radian Measure
  158.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  159.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  160.    wt: 1:   13 Velocity Vectors in Physics
  161.    wt: 1:   9 Head to Tail Coordinate View
  162.    wt: 1:   6 Vectors with Coordinates
  163.    wt: 1:   5 Head To Tail Arrow Addition
  164.    wt: 1:   4 Resultant of a Sum of Movements
  165.    wt: 1:   3 Navigation with Arrows or Vectors
  166.    wt: 1:   Vector and Complex Number Applet
  167.    wt: 1:   4 graphing y=Asin(x c)
  168.    wt: 1:   14 Straight Lines Equations General Case
  169.    wt: 1:   8 Straight Lines Equation for vertical
  170.    wt: 1:   4 Tangent Function Properties
  171.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  172.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  173.    wt: 1:   28 Expressing products of sines cosines as sums
  174.    wt: 1:   24 tangent Angle Difference Formula
  175.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  176.    wt: 1:   18 sum of sinusoidal waves as a single wave
  177.    wt: 1:   14 cosine even and sine and tangent are odd
  178.    wt: 1:   8 period of tangent function
  179.    wt: 1:   18 Sixth Roots of Unity
  180.    wt: 1:   14 Law of cosines
  181.    wt: 1:   8 Unit Circle Development of Trigonometry
  182.    wt: 1:   7 Second Way to Calculate Products
  183.    wt: 1:   4 Multiplication Properties
  184.    wt: 1:   8 Triangles Cascade Problem Solving
  185.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  186.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  187.    wt: 1:   8 Similarity of Triangles and Polygons
  188.    wt: 1:   4 Similarity Definition with Coordinate
  189.    wt: 1:   8 Mid Point Formula
  190.    wt: 1:   7 Exercises to test skill and concept mastery
  191.    wt: 1:   4 Equations for lines three forms
  192.    wt: 1:   8 Distance Between Points on a Line
  193.    wt: 1:   18 Triangle Similarity Take 1
  194.    wt: 1:   17 Right Bisectors of Triangle Sides
  195.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  196.    wt: 1:   14 Parallel Lines Postulate
  197.    wt: 1:   10 Dropping a perpendicular to line
  198.    wt: 1:   9 Construction of a right bisector
  199.    wt: 1:   8 Isoceles Triangles
  200.    wt: 1:   4 Side Side Side
  201.    wt: 1:   6 Figuring with Maps Not to Scale
  202.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  203.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  204.    wt: 1:   21 Addition of Multiples of a Single Vector
  205.    wt: 1:   19 Signed Multiples of Vectors
  206.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  207.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  208.    wt: 1:   15 Head to Tails in place Addition Associative
  209.    wt: 1:   13 Arrows and Vectors in a Plane
  210.    wt: 1:   8 Division and Mulplication of Compound Fractions
  211.    wt: 1:   4 Location of Point in Decimal Addition
  212.    wt: 1:   8 Column Multiplication Methods in General
  213.    wt: 1:   4 Commutative Law Groups Counting Form
  214.    wt: 1:   4 Fraction Operations Axiomatic Development
  215.    wt: 1:   4 Rates Ratios and Proporitionality
  216.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  217.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  218.    wt: 1:   4 Subtraction and Division Axioms
  219.    wt: 1:   4 Comparison of Negative Numbers
  220.    wt: 1:   14 Real Number Multiplication
  221.    wt: 1:   8 Coordinates for Maps and Planes
  222.    wt: 1:   4 Rational Numbers
  223.    wt: 1:   4 Changing Letters
  224.    wt: 1:   4 GE III Animated Examples
  225.    wt: 1:   4 Solving a triangular system exercise
  226.    wt: 1:   4 Four Examples Fractional Coefficients
  227.    wt: 1:   8 One Example
  228.    wt: 1:   4 Two Examples
  229.    wt: 1:   8 Compound Interest Formula Evaluation
  230.    wt: 1:   4 Circle Area Formula Example
  231.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  232.    wt: 1:   8 Sets of Numbers
  233.    wt: 1:   4 Subset Builder Notation
  234.    wt: 1:   3 Adding Words To Arithmetic
  235.    wt: 1:   4 Greater More Less Than Signs in General
  236.    wt: 1:   4 Square Roots with primes more
  237.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  238.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  239.    wt: 1:   13 GCD from given Prime Factorization
  240.    wt: 1:   8 GCD from Euclidean Algorithm
  241.    wt: 1:   7 GCD and LCM from prime factorization
  242.    wt: 1:   5 Common Divisors 60 45 via Prime
  243.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  244.    wt: 1:   4 Counting with Trees Product Rule Take I
  245.    wt: 1:   8 multiplying signed numbers
  246.    wt: 1:   4 signed coordinates for regions in space
  247.    wt: 1:   4 Fractions with Units
  248.    wt: 1:   19 Dividing Fractions How TO
  249.    wt: 1:   17 Efficient Ways to Add and Subtract
  250.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  251.    wt: 1:   8 Numerals Fractionals Quantals Take II
  252.    wt: 1:   4 Fraction Multiplication
  253.    wt: 1:   8 Multiplication by Signed Numbers Integers
  254.    wt: 1:   4 Adding Movements wiht opposite directions
  255.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  256.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  257.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  258.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  259.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  260.    wt: 1:   20 Uniqueness of Prime Factorization
  261.    wt: 1:   19 video Prime Factorization Unique
  262.    wt: 1:   17 Identify and Count Factors using Primes
  263.    wt: 1:   7 Calculator Usage Notes and Cautions
  264.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  265.    wt: 1:   5 Prime Factorization and a Square Rule
  266.    wt: 1:   1 video how Products are bigger than factor
  267.    wt: 1:   8 Correcting the Mistake
  268.    wt: 1:   4 Division with 2 Digit Divsors
  269.    wt: 1:   4 Two and Three Digit Multipliers
  270.    wt: 1:   8 Subtraction with Units of Measure
  271.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  272.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  273.    wt: 1:   5. How to add decimals C. Examples
  274.    wt: 1:   3. How to add with decimals A sans conversions
  275.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  276.    wt: 1:   Quick history of numbers and algebra
  277.    wt: 1:   Formula Evaluation how to show work
  278.    wt: 1:   Expression Evaluation how to show work
  279.    wt: 1:   014 Counting Days with Calendars
  280.    wt: 1:   4 Mixing and Changing Units of Time
  281.    wt: 1:   1 Intro of Kids To Time Date Skills
  282.    wt: 1:   Example 4 with x function of y
  283.    wt: 1:   4 Definite Integrals Evaluation Exercises
  284.    wt: 1:   4 Second derivative test exercise example
  285.    wt: 1:   38 Formulas and derivatives for powers and roots
  286.    wt: 1:   34 Derivative of exponential function
  287.    wt: 1:   28 Chain Rule Preparation for a Proof
  288.    wt: 1:   24 Chain Rule Animated Examples
  289.    wt: 1:   18 Chain Rule Introduction
  290.    wt: 1:   14 sine and cosine derivatives 2nd step
  291.    wt: 1:   8 Differentiation of polynomials
  292.    wt: 1:   4 Sum Rule
  293.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  294.    wt: 1:   8 Four Animated Examples
  295.    wt: 1:   4 Numerical properties
  296.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  297.    wt: 1:   F.4 Finite Covering Theorem
  298.    wt: 1:   D2 Limits of Monotone Sequences
  299.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  300.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  301.    wt: 1:   Chapter 23 Links To Trigonometry
  302.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  303.    wt: 1:   Chapter 18. Slopes Areas Integration
  304.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  305.    wt: 1:   Chapter 8. Slope Interpretation
  306.    wt: 1:   Chapter 4. More Slope Sign Analysis
  307.    wt: 1:   Fall 1983 Calculus Appetizer
  308.    wt: 1:   Appendix D. What to do in School and Why
  309.    wt: 1:   Appendix C. How to Read
  310.    wt: 1:   Appendix B. How To Learn
  311.    wt: 1:   Chapter 28 Occurrence Tables
  312.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  313.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  314.    wt: 1:   Chapter 18. Rules for Algebra
  315.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  316.    wt: 1:   Chapter 8 Three Skills For Algebra
  317.    wt: 1:   Chapter 4 Longer Chains of Reason
  318.    wt: 1:   Annotated Links to Material Elsehwere
  319.    wt: 1:   Chapter 8 Modern Instruction
  320.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  321.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  322.    wt: 1:   Chapter 2 For and Against Mathematics
  323.    wt: 1:   Postscript C Consistency as a Tool for Reason
  324.    wt: 1:   Postscript B More on Story Telling and Reason
  325.    wt: 1:   Postscript A Story Telling
  326.    wt: 1:   Chapter 24 Direct and Indirect Reason
  327.    wt: 1:   Chapter 18 Sense and Knowledge
  328.    wt: 1:   Chapter 8 Change of Language
  329.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  330.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  331.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  332.    wt: 1:   S Adding words to algebra
  333.    wt: 1:   R Why Learn Mathematics Skills
  334.    wt: 1:   O On Learning Mathematics and Science
  335.    wt: 1:   N Mathematics Prepare for College Studies
  336.    wt: 1:   M Words to extend arithmetic
  337.    wt: 1:   H more Routine to non routine problem solving
  338.    wt: 1:   F. The student teacher tutor feedback loop
  339.    wt: 1:   E. When and how to correct errors
  340.    wt: 1:   How to Build Skills and Confidence
  341.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  342.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  343.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  344.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  345.    wt: 1:   Helping the Blind in Logic and Mathematics
  346.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  347.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  348.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  349.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  350.    wt: 1:   Which Way To Go

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  22.    wt: 6:   18 video Count Factors given Prime Factorization
  23.    wt: 6:   14 video Factors of 24 Take II
  24.    wt: 6:   8 video Prime Factorization upto 19
  25.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  26.    wt: 5:   8 analytic geometry etc
  27.    wt: 5:   4 algebra
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  55.    wt: 5:   18 Vertical Line Rule and Method
  56.    wt: 5:   14 Surjections Injections Bijections
  57.    wt: 5:   8 Set view of relations and functions
  58.    wt: 5:   8 Notes for instructors or tutors
  59.    wt: 5:   2 Radian Measure Numerical Value of one degree
  60.    wt: 5:   1 Degrees and Radians Introduction
  61.    wt: 5:   8 Parallel Vectors
  62.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  63.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  64.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  65.    wt: 5:   8 Mid Point Formula
  66.    wt: 5:   4 Equations for lines three forms
  67.    wt: 5:   8 multiplying signed numbers
  68.    wt: 5:   4 signed coordinates for regions in space
  69.    wt: 5:   14 Adding and Subtracting with Like Denominators
  70.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  71.    wt: 5:   23 Remainder Arithmetic Modulo 2
  72.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  73.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  74.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  75.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  76.    wt: 5:   4 video Prime Factorization Introduction
  77.    wt: 5:   34 Derivative of exponential function
  78.    wt: 5:   14 sine and cosine derivatives 2nd step
  79.    wt: 5:   Appendix E. How To Study Mathematics and Why
  80.    wt: 5:   Appendix D. What to do in School and Why
  81.    wt: 5:   Postscript B Mathematics Education References
  82.    wt: 5:   Chapter 8 Skipped Topics and Why
  83.    wt: 4:   K LAMP Musings Science Education
  84.    wt: 4:   E LAMP Introduction Modern Mathematics
  85.    wt: 4:   Skills Chapter 4 Logic
  86.    wt: 4:   11 pure mathematics
  87.    wt: 4:   9 combinatorics probability sets
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  106.    wt: 4:   02 21 words for teachers
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  110.    wt: 4:   Different Kinds of Reasoning in maths
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  112.    wt: 4:   Motivation and Context Problem
  113.    wt: 4:   fairness and inductive principles for instruction
  114.    wt: 4:   Ages 8 to 9
  115.    wt: 4:   Ages 4 plus to 5 plus
  116.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  117.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  118.    wt: 4:   12 From Applied To Pure Mathematics
  119.    wt: 4:   5 Head To Tail Arrow Addition
  120.    wt: 4:   4 Resultant of a Sum of Movements
  121.    wt: 4:   Triangle Angles Sum To 180 Degrees
  122.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  123.    wt: 4:   29 secant cosecant and cotangent for acute angles
  124.    wt: 4:   28 Expressing products of sines cosines as sums
  125.    wt: 4:   25 tangent double angle formula Slope connection
  126.    wt: 4:   24 tangent Angle Difference Formula
  127.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  128.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  129.    wt: 4:   18 sum of sinusoidal waves as a single wave
  130.    wt: 4:   16 Right Triangle Complementary Angle Relations
  131.    wt: 4:   14 cosine even and sine and tangent are odd
  132.    wt: 4:   11 tangent function undefined when terminal side vertical
  133.    wt: 4:   8 period of tangent function
  134.    wt: 4:   7 period of sine and cosine
  135.    wt: 4:   8 Similarity of Triangles and Polygons
  136.    wt: 4:   Four Simple Exercises
  137.    wt: 4:   7 Exercises to test skill and concept mastery
  138.    wt: 4:   4 Polar Coordinates to and from
  139.    wt: 4:   4 GE III Animated Examples
  140.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  141.    wt: 4:   4 Counting with Trees Product Rule Take I
  142.    wt: 4:   18 Efficient Ways to Multiply
  143.    wt: 4:   4 Fraction Multiplication
  144.    wt: 4:   26 Divisibility by 2 3 5 Example
  145.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  146.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  147.    wt: 4:   21 Remainder Arithmetic Modulo 3
  148.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  149.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  150.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  151.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  152.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  153.    wt: 4:   16 video Factors of 980 using prime
  154.    wt: 4:   15 video Factors of 20 using Prime Factorization
  155.    wt: 4:   13 video Factors of 24 using prime
  156.    wt: 4:   10 video Prime Factorization upto 23 squared
  157.    wt: 4:   9 video Prime Factorization upto 19 squared
  158.    wt: 4:   8 Correcting the Mistake
  159.    wt: 4:   4 Division with 2 Digit Divsors
  160.    wt: 4:   8 What skills and work habits to require
  161.    wt: 4:   4. How to add with decimals B with conversions
  162.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  163.    wt: 4:   33 Chain Rule Real Player video examples
  164.    wt: 4:   28 Chain Rule Preparation for a Proof
  165.    wt: 4:   24 Chain Rule Animated Examples
  166.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  167.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  168.    wt: 4:   Appendix C. How to Read
  169.    wt: 4:   Appendix B. How To Learn
  170.    wt: 4:   Chapter 28 Occurrence Tables
  171.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  172.    wt: 4:   Chapter 18. Rules for Algebra
  173.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  174.    wt: 4:   Chapter 8 Three Skills For Algebra
  175.    wt: 4:   Chapter 4 Longer Chains of Reason
  176.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  177.    wt: 4:   Chapter 8 Modern Instruction
  178.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  179.    wt: 4:   Chapter 14 Deductive and Empirical Views of Mathematics
  180.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  181.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  182.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  183.    wt: 4:   Mathematics Education References
  184.    wt: 3:   Appendix 2 primary school Arithmetic 01
  185.    wt: 3:   Appendix 1 primary and preschool mathematic
  186.    wt: 3:   J LAMP Introduction Extrinsic Origins
  187.    wt: 3:   I LAMP Introduction Study Habits
  188.    wt: 3:   H LAMP Introduction Instructional Concepts
  189.    wt: 3:   G LAMP Introduction Problem Solving Skills
  190.    wt: 3:   F LAMP Introduction Prerequisites
  191.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  192.    wt: 3:   A Introduction Objectives
  193.    wt: 3:   10 statistics
  194.    wt: 3:   7 logic review and decimals an odd combination
  195.    wt: 3:   6 polynomials etc
  196.    wt: 3:   5 logarithms and exponentials etc
  197.    wt: 3:   3 Euclidean Geometry Leanly
  198.    wt: 3:   2 arithmetic with signed numbers
  199.    wt: 3:   1 arithmetic with unsigned numbers
  200.    wt: 3:   What is POMME
  201.    wt: 3:   chapitre 04 08 Limitations et benefices
  202.    wt: 3:   chapitre 04 04 Parlons de la logique
  203.    wt: 3:   18 Primary School Mathematics
  204.    wt: 3:   Ages 12 to 14 Skills with take home value
  205.    wt: 3:   Ages 12 to 14 Geometry
  206.    wt: 3:   Ages 12 to 14 Arithmetic
  207.    wt: 3:   Ages 7 to 8
  208.    wt: 3:   Ages 3 plus to 4 plus
  209.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  210.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  211.    wt: 3:   sign monoticity analysis example 3
  212.    wt: 3:   sign monoticity analysis example 2
  213.    wt: 3:   sign monoticity analysis example 1
  214.    wt: 3:   26 Function definitions done and coming
  215.    wt: 3:   23 Inverse Functions
  216.    wt: 3:   22 Square Root function graphically
  217.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  218.    wt: 3:   20 Interchanging coordinates a reflection
  219.    wt: 3:   19 Horizontal line rule and method
  220.    wt: 3:   17 Function maxima minima and their location
  221.    wt: 3:   16 Increasing or decreasing on intervals
  222.    wt: 3:   15 Sign analysis of functions
  223.    wt: 3:   12 Function Domain Recognition Exercises
  224.    wt: 3:   11 Function Domain Range Source and Targets
  225.    wt: 3:   10 Interval Notation
  226.    wt: 3:   9 Set theory term relation possible origins
  227.    wt: 3:   7 Functions with finite domains
  228.    wt: 3:   6 Set Existence Formation and Notation
  229.    wt: 3:   5 Function notation for geometric transformations
  230.    wt: 3:   3 Formula or function graphing exercise
  231.    wt: 3:   2 Algebraic use of function notation
  232.    wt: 3:   1 Geometric Introduction of Function Notation
  233.    wt: 3:   Introduction Reading Guide
  234.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  235.    wt: 3:   4 Polynomials Long division linear divisor
  236.    wt: 3:   A Global Time and Navigation
  237.    wt: 3:   13 Velocity Vectors in Physics
  238.    wt: 3:   9 Head to Tail Coordinate View
  239.    wt: 3:   6 Vectors with Coordinates
  240.    wt: 3:   3 Navigation with Arrows or Vectors
  241.    wt: 3:   Vector and Complex Number Applet
  242.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  243.    wt: 3:   17 tangent function angle sum formulas
  244.    wt: 3:   32 seven rows of pascals triangle
  245.    wt: 3:   31 basic secant cosecant cotangent trig identities
  246.    wt: 3:   30 unit circle calculation of six trigonometric functions
  247.    wt: 3:   27 Logarithmic use of products of sines and cosines
  248.    wt: 3:   26 Formulas for products of sines and cosines
  249.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  250.    wt: 3:   21 sine and cosine Half Angle Formulas
  251.    wt: 3:   20 sine and cosine Double Angle Formulas
  252.    wt: 3:   17G Pythagorean Theorem Converse
  253.    wt: 3:   17F Law of cosines
  254.    wt: 3:   17E Trig Formulas for dot and cross Products
  255.    wt: 3:   17D cis formulas for sine cosines and tangent
  256.    wt: 3:   17C sine and cosine double triple angle formulas
  257.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  258.    wt: 3:   17A The complex number valued trig function cis
  259.    wt: 3:   15 sine cosine Complementary Angle Relations
  260.    wt: 3:   13 Graph of tangent function many periods
  261.    wt: 3:   12 Graph of tangent function for one period
  262.    wt: 3:   10 Graphs of sines and cosines many periods
  263.    wt: 3:   9 Graphs of sine and cosine over one period
  264.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  265.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  266.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  267.    wt: 3:   2 Quadrant I reference Angles
  268.    wt: 3:   1 Unit Points Reflections Rotations
  269.    wt: 3:   Unit Circle Development of Trigonometry
  270.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  271.    wt: 3:   18 Sixth Roots of Unity
  272.    wt: 3:   14 Law of cosines
  273.    wt: 3:   8 Unit Circle Development of Trigonometry
  274.    wt: 3:   4 Multiplication Properties
  275.    wt: 3:   4 Similarity Definition with Coordinate
  276.    wt: 3:   12 Links Lessons elsewhere
  277.    wt: 3:   11 A Partial Summary
  278.    wt: 3:   10 Midpoint of [a b] and [b a]
  279.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  280.    wt: 3:   6 Intersection of lines by solving linear systems
  281.    wt: 3:   5 Algebraic View of Slopes
  282.    wt: 3:   3 Slope product for perpendicular lines
  283.    wt: 3:   2 point slope equation for a line
  284.    wt: 3:   1 Numerical view of lines and their equations
  285.    wt: 3:   What is and is not here
  286.    wt: 3:   8 Distance Between Points on a Line
  287.    wt: 3:   18 Triangle Similarity Take 1
  288.    wt: 3:   14 Parallel Lines Postulate
  289.    wt: 3:   8 Isoceles Triangles
  290.    wt: 3:   4 Side Side Side
  291.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  292.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  293.    wt: 3:   4 Angles on Maps Plans drawn to scale
  294.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  295.    wt: 3:   4 Greater More Less Than Signs in General
  296.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  297.    wt: 3:   4 LCM of 8 and 10 via Prime
  298.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  299.    wt: 3:   12 GCD 2700 288 via Prime
  300.    wt: 3:   11 What are real lengths and numbers
  301.    wt: 3:   10 dividing signed numbers
  302.    wt: 3:   9 subtracting signed numbers
  303.    wt: 3:   7 negative and additive inverse
  304.    wt: 3:   6 adding signed numbers
  305.    wt: 3:   5 lengths and signs of numbers
  306.    wt: 3:   3 signed coordinates for maps and planes
  307.    wt: 3:   2 signed and unsigned numbers as coordinates
  308.    wt: 3:   19 Dividing Fractions How TO
  309.    wt: 3:   17 Efficient Ways to Add and Subtract
  310.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  311.    wt: 3:   8 Numerals Fractionals Quantals Take II
  312.    wt: 3:   8 Multiplication by Signed Numbers Integers
  313.    wt: 3:   4 Adding Movements wiht opposite directions
  314.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  315.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  316.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  317.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  318.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  319.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  320.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  321.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  322.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  323.    wt: 3:   5 Remainder Arithmetic Modulo 5
  324.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  325.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  326.    wt: 3:   1 Remainder Arithmetic Modulo 10
  327.    wt: 3:   20 Uniqueness of Prime Factorization
  328.    wt: 3:   19 video Prime Factorization Unique
  329.    wt: 3:   17 Identify and Count Factors using Primes
  330.    wt: 3:   7 Calculator Usage Notes and Cautions
  331.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  332.    wt: 3:   5 Prime Factorization and a Square Rule
  333.    wt: 3:   1 video how Products are bigger than factor
  334.    wt: 3:   Long Division Backwards more
  335.    wt: 3:   Division with Counts and Length
  336.    wt: 3:   4 Two and Three Digit Multipliers
  337.    wt: 3:   8 Subtraction with Units of Measure
  338.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  339.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  340.    wt: 3:   Formula Evaluation how to show work
  341.    wt: 3:   Example 4 with x function of y
  342.    wt: 3:   A Related Material in Volume 3
  343.    wt: 3:   4 Definite Integrals Evaluation Exercises
  344.    wt: 3:   2 Indefinite Integrals Exercises
  345.    wt: 3:   4 Second derivative test exercise example
  346.    wt: 3:   3 Second derivative test
  347.    wt: 3:   38 Formulas and derivatives for powers and roots
  348.    wt: 3:   31 Derivatives of inverse functions
  349.    wt: 3:   30Chain Rule A Proof
  350.    wt: 3:   29 Chain Rule Optional Reading
  351.    wt: 3:   25 Chain Rule Animated Examples Continued
  352.    wt: 3:   23 Chain Rule in general
  353.    wt: 3:   18 Chain Rule Introduction
  354.    wt: 3:   17 Derivatives of quotients of sine and cosine
  355.    wt: 3:   13 sine and cosine derivatives 1st step
  356.    wt: 3:   10 Power rule for negative integers
  357.    wt: 3:   8 Differentiation of polynomials
  358.    wt: 3:   6 Power rule from product rule
  359.    wt: 3:   4 Sum Rule
  360.    wt: 3:   8 Four Animated Examples
  361.    wt: 3:   F.5b Extreme Value Theorem
  362.    wt: 3:   F.4 Finite Covering Theorem
  363.    wt: 3:   E2 Algebraic Properties of Limits
  364.    wt: 3:   D2 Limits of Monotone Sequences
  365.    wt: 3:   C Triangle Inequalities
  366.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  367.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  368.    wt: 3:   Chapter 18. Slopes Areas Integration
  369.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  370.    wt: 3:   Chapter 8. Slope Interpretation
  371.    wt: 3:   Chapter 4. More Slope Sign Analysis
  372.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  373.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  374.    wt: 3:   Annotated Links to Material Elsehwere
  375.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  376.    wt: 3:   Chapter 2 For and Against Mathematics
  377.    wt: 3:   Chapter 24 Direct and Indirect Reason
  378.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  379.    wt: 3:   Chapter 18 Sense and Knowledge
  380.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  381.    wt: 3:   Chapter 8 Change of Language
  382.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  383.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  384.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  385.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  386.    wt: 3:   Mathematics Education References
  387.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  388.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  389.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  390.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  391.    wt: 2:   Skills Chapter 5 Calculus
  392.    wt: 2:   Ramblings Extrinsic numbers theory
  393.    wt: 2:   Ramblings Introduction Algebra Essay
  394.    wt: 2:   Skills Chapter 3 Algebra
  395.    wt: 2:   Skills Chapter 2 Geometry
  396.    wt: 2:   Skills Chapter 1 Arithmetic
  397.    wt: 2:   Skills Chapter 0 Introduction
  398.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  399.    wt: 2:   chapitre 04 09 Regles accidentelles
  400.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  401.    wt: 2:   chapitre 04 06 engagements
  402.    wt: 2:   chapitre 04 05 Implication versus suggestion
  403.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  404.    wt: 2:   chapitre 04 02 Deuxieme enigme
  405.    wt: 2:   chapitre 04 01 Premiere enigme
  406.    wt: 2:   chapitre 04 00 Les regles d implication
  407.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  408.    wt: 2:   Trois Notions qui menent a algebre
  409.    wt: 2:   3 Energy Power Heat08
  410.    wt: 2:   D Energy Power04
  411.    wt: 2:   F Wire Resistance Calculation04
  412.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  413.    wt: 2:   24 Standards For Skill Develoment Take II
  414.    wt: 2:   24 Standards For Skill Develoment
  415.    wt: 2:   14 Multiplication and Times Tables
  416.    wt: 2:   8 The Effect of Negative Remarks
  417.    wt: 2:   4 Learning Takes Time and Effort
  418.    wt: 2:   Ages 10 to 12 Geometry
  419.    wt: 2:   Ages 10 to 12 Arithmetic
  420.    wt: 2:   Ages 9 to 10
  421.    wt: 2:   Ages 6 to 7
  422.    wt: 2:   8 quadratics backward use of various formulas
  423.    wt: 2:   4 quadratics difference of two squares
  424.    wt: 2:   3 quadratics factoring by inspection
  425.    wt: 2:   5 Natural Logarithm Calculator Exercises
  426.    wt: 2:   1 Calculator Starter Exercises
  427.    wt: 2:   7 Links Lessons Elsewhere
  428.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  429.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  430.    wt: 2:   3 Polynomials Multiplication Addition
  431.    wt: 2:   2 Column Multiplication Method
  432.    wt: 2:   1 Polynomials Distributive Law
  433.    wt: 2:   14 secant function Definition Graph and Inverse
  434.    wt: 2:   8 arcsin left inverse of sine Graph
  435.    wt: 2:   4 possible motivation for term arccos
  436.    wt: 2:   15 Dot and Cross Product
  437.    wt: 2:   11 Component Method
  438.    wt: 2:   10 Parallelogram Addition Method
  439.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  440.    wt: 2:   2 Signed Coordinates
  441.    wt: 2:   1 Unsigned Coordinates
  442.    wt: 2:   4 graphing y=Asin(x c)
  443.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  444.    wt: 2:   Straight Lines ASA Intersection Study More
  445.    wt: 2:   Straight Lines ASA Intersection Study
  446.    wt: 2:   Straight Lines Instersection Solving Equations
  447.    wt: 2:   14 Straight Lines Equations General Case
  448.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  449.    wt: 2:   8 Straight Lines Equation for vertical
  450.    wt: 2:   7 Tangent Function is odd on this domain
  451.    wt: 2:   4 Tangent Function Properties
  452.    wt: 2:   7 Second Way to Calculate Products
  453.    wt: 2:   8 Triangles Cascade Problem Solving
  454.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  455.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  456.    wt: 2:   PS H Distributive Law For Complex Numbers
  457.    wt: 2:   PS D Addition with Cartesian Coordinates
  458.    wt: 2:   17 Right Bisectors of Triangle Sides
  459.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  460.    wt: 2:   10 Dropping a perpendicular to line
  461.    wt: 2:   9 Construction of a right bisector
  462.    wt: 2:   6 Figuring with Maps Not to Scale
  463.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  464.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  465.    wt: 2:   4 Commutative Law Groups Counting Form
  466.    wt: 2:   4 Rates Ratios and Proporitionality
  467.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  468.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  469.    wt: 2:   4 Changing Letters
  470.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  471.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  472.    wt: 2:   3 GE III Equation Addition and Multiplication
  473.    wt: 2:   2 GE II Comparison
  474.    wt: 2:   1 GE Substitution four examples
  475.    wt: 2:   4 Solving a triangular system exercise
  476.    wt: 2:   4 Four Examples Fractional Coefficients
  477.    wt: 2:   8 One Example
  478.    wt: 2:   4 Two Examples
  479.    wt: 2:   4 A Brief Story of numbers and algebra
  480.    wt: 2:   5 Square Roots with primes more still
  481.    wt: 2:   4 Square Roots with primes more
  482.    wt: 2:   1 Squares and Square Roots Introduction
  483.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  484.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  485.    wt: 2:   13 GCD from given Prime Factorization
  486.    wt: 2:   8 GCD from Euclidean Algorithm
  487.    wt: 2:   7 GCD and LCM from prime factorization
  488.    wt: 2:   5 Common Divisors 60 45 via Prime
  489.    wt: 2:   1 Least Common Multiples LCM Introduction
  490.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  491.    wt: 2:   3 Counting with Tables and Trees II
  492.    wt: 2:   2 Counting with Tables and Trees I
  493.    wt: 2:   1 Counting and Counting Methods I
  494.    wt: 2:   4 Fractions with Units
  495.    wt: 2:   22 Complex Compound Fractions
  496.    wt: 2:   21 Working With Signs
  497.    wt: 2:   21 Reciprocals for Fractions and Wholes
  498.    wt: 2:   20 Dividing Fractions the Why
  499.    wt: 2:   16 Addition Subtraction Comparision Compared
  500.    wt: 2:   13 Fraction Comparison Algebraic View
  501.    wt: 2:   12 Fraction Comparison
  502.    wt: 2:   11 Simplification an Algebraic View
  503.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  504.    wt: 2:   9 Improper Fractions and Mixed Numbers
  505.    wt: 2:   7 Numerals Fractionals Quantals
  506.    wt: 2:   6 Multiplication of Mixed Numbers
  507.    wt: 2:   6 Multiplication Algebraically Take II
  508.    wt: 2:   5 Equivalent Fractions
  509.    wt: 2:   3 Unit fraction of a fraction
  510.    wt: 2:   2 Unit Fraction Multiplication
  511.    wt: 2:   1 What is a fraction Take II
  512.    wt: 2:   1 What is a fraction
  513.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  514.    wt: 2:   B Integer Long Division Multiple Choices
  515.    wt: 2:   12 LCD GCD and LCM using Primes
  516.    wt: 2:   11 Efficient Square Rule Use
  517.    wt: 2:   3 video Primes and Composites from 9 times table
  518.    wt: 2:   2 Prime and Composites less than 16
  519.    wt: 2:   Long Division Backward
  520.    wt: 2:   Long Division forwards and backwards Example 3
  521.    wt: 2:   Long Division forwards and backwards Example 2
  522.    wt: 2:   Long Division forwards and backwards Example 1
  523.    wt: 2:   12 Why Long Division Works Take III
  524.    wt: 2:   11 Another Single Digit Divisor Example
  525.    wt: 2:   10 Division by Five Long and Short Ways
  526.    wt: 2:   9 Why Long Division Works Take II
  527.    wt: 2:   7 Long Divison Mistake Catching
  528.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  529.    wt: 2:   5 Long Division Include Zeroes or not
  530.    wt: 2:   3 Division Single Digit Divisor Example
  531.    wt: 2:   2 Division with Single Digit Divisors
  532.    wt: 2:   1 Divsion Physical Examples
  533.    wt: 2:   B Powers of Ten
  534.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  535.    wt: 2:   Subtraction with J Conversions Example
  536.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  537.    wt: 2:   5. How to add decimals C. Examples
  538.    wt: 2:   3. How to add with decimals A sans conversions
  539.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  540.    wt: 2:   Quick history of numbers and algebra
  541.    wt: 2:   Expression Evaluation how to show work
  542.    wt: 2:   8 Addition of Time Intervals via subtotaling
  543.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  544.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  545.    wt: 2:   5 Area Under Curve Exercise
  546.    wt: 2:   3 Two Chain Rule Method Exercises
  547.    wt: 2:   1 Chain Rule in Reverse Integration Method
  548.    wt: 2:   A Related lessons in Volume 3
  549.    wt: 2:   2 Second derivative test prequel
  550.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  551.    wt: 2:   A Chain Rule Real Player video examples
  552.    wt: 2:   36 Cube root derivative animated
  553.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  554.    wt: 2:   26 Chain Rule Recognising outer inner functions
  555.    wt: 2:   22 Chain Rule for polynomials
  556.    wt: 2:   21 Chain Rule for powers
  557.    wt: 2:   20 Chain Rule for Pulley Systems
  558.    wt: 2:   19 Chain Rule for linear functions
  559.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  560.    wt: 2:   15 sine and cosine derivatives 3rd step
  561.    wt: 2:   12 Quotient rule examples
  562.    wt: 2:   11 Quotient rule
  563.    wt: 2:   9 Reciprocal rule
  564.    wt: 2:   7 Animated Differentiation Examples
  565.    wt: 2:   5 Product Rule
  566.    wt: 2:   3 Motivation for Limit Definition Take 2
  567.    wt: 2:   2 Motivation for Limit Definition Take 1
  568.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  569.    wt: 2:   4 Numerical properties
  570.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  571.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  572.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  573.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  574.    wt: 2:   G.5 Motions With Bounded Velocities
  575.    wt: 2:   G.3 Constant Difference Theorem Proof
  576.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  577.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  578.    wt: 2:   F.5a Equicontinuity Theorems
  579.    wt: 2:   F.3 Intermediate Value Theorem
  580.    wt: 2:   F.2 Closed Range Theorem
  581.    wt: 2:   F.1 What Functions are Continuous
  582.    wt: 2:   E1 Error Control Inequalities
  583.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  584.    wt: 2:   B3 Bolzano Weierstrass Theorem
  585.    wt: 2:   PostScript For and Against Decimal Perspectives
  586.    wt: 2:   A1. Introduction
  587.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  588.    wt: 2:   Chapter 23 Links To Trigonometry
  589.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  590.    wt: 2:   Fall 1983 Calculus Appetizer
  591.    wt: 2:   Postscript More on Better Performance
  592.    wt: 2:   Postscript For Better Performance
  593.    wt: 2:   Chapter 31 Direct and Indirect Reason
  594.    wt: 2:   Chapter 30 Truth Tables
  595.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  596.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  597.    wt: 2:   Chapter 25. Mathematical Induction Examples
  598.    wt: 2:   Chapter 23. Notation For Sums
  599.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  600.    wt: 2:   Chapter 21. Third Reading Guide
  601.    wt: 2:   Chapter 20. Degrees and Radians
  602.    wt: 2:   Chapter 19. Functions and Sets
  603.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  604.    wt: 2:   Chapter 16. Painless Theorem Proving
  605.    wt: 2:   Chapter 15. Solving Linear Equations
  606.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  607.    wt: 2:   Chapter 13. Second Reading Guide
  608.    wt: 2:   Chapter 12. Shorthand Usage Guide
  609.    wt: 2:   Chapter 11. Why Shorthand
  610.    wt: 2:   Chapter 10 Describing and Changing Calculations
  611.    wt: 2:   Postscript What is a Variable
  612.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  613.    wt: 2:   Solutions For Arithmetic Exercises
  614.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  615.    wt: 2:   Chapter 6 Change of Language
  616.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  617.    wt: 2:   Chapter 3 Chains of Reason
  618.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  619.    wt: 2:   Foreword
  620.    wt: 2:   Postscript A Three Remarks
  621.    wt: 2:   Chapter 12 Four Phases
  622.    wt: 2:   Chapter 11 Elementary Instruction
  623.    wt: 2:   Chapter 10 Transition
  624.    wt: 2:   Chapter 9 The Two Ends
  625.    wt: 2:   Chapter 7 Two Treatments of Geometry
  626.    wt: 2:   Chapter 5 Four References
  627.    wt: 2:   Chapter 3 Algebra Difficulties
  628.    wt: 2:   Chapter 1 Introduction
  629.    wt: 2:   Foreword
  630.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  631.    wt: 2:   Postscript C Consistency as a Tool for Reason
  632.    wt: 2:   Postscript B More on Story Telling and Reason
  633.    wt: 2:   Postscript A Story Telling
  634.    wt: 2:   R Why Learn Mathematics Skills
  635.    wt: 2:   N Mathematics Prepare for College Studies
  636.    wt: 2:   H more Routine to non routine problem solving
  637.    wt: 2:   A. Skill has to be seen to believed
  638.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  639.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  640.    wt: 2:   Chapter 6 More Algebra and Geometry
  641.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  642.    wt: 2:   Chapter 3 Algebra Starter Lessons
  643.    wt: 2:   Chapter 2 Why Sets
  644.    wt: 2:   Chapter 1 Arithmetic
  645.    wt: 2:   7 Games and Activities for Instruction
  646.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  647.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  648.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  649.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  650.    wt: 2:   Helping the Blind in Logic and Mathematics
  651.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  652.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  653.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  654.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  655.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  656.    wt: 2:   Which Way To Go
  657.    wt: 1:   chapitre 12 00 les iles et division
  658.    wt: 1:   chapitre 07 01 principle D induction mathematique
  659.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  660.    wt: 1:   chapitre 06 00 Chaines de la raison
  661.    wt: 1:   chapitre 05 00 Deception
  662.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  663.    wt: 1:   chapitre 02 00 La Communication des idees
  664.    wt: 1:   chapitre 01 00 Introduction
  665.    wt: 1:   liens
  666.    wt: 1:   problemes responses
  667.    wt: 1:   problemes algebre et arithmetique
  668.    wt: 1:   deux definitions pour variable
  669.    wt: 1:   logique deux enigme
  670.    wt: 1:   4 Energy Power Heat09
  671.    wt: 1:   B Wire Resistance Qualitative02
  672.    wt: 1:   3 Like resistors in parallel
  673.    wt: 1:   2 Unlike resistors in parallel01
  674.    wt: 1:   1 Like resistors in series
  675.    wt: 1:   G Series Circuit01
  676.    wt: 1:   F Unlike Resistors in Series
  677.    wt: 1:   C Electromotive force conventional current02
  678.    wt: 1:   Home Tutoring and Home Schooling
  679.    wt: 1:   22 Student Centered Highschool Mathematics
  680.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  681.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  682.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  683.    wt: 1:   17 Math Booklets for children and young teenagers
  684.    wt: 1:   16 Secondary Mathematics Tips
  685.    wt: 1:   12 Goals and Objectives For Mathematics
  686.    wt: 1:   11 Help and Defend Your Child or Teens Education
  687.    wt: 1:   A Quadratics Summary
  688.    wt: 1:   10 quadratic exercises
  689.    wt: 1:   9 quadratics physical and further context
  690.    wt: 1:   7 quadratic formulla derivation
  691.    wt: 1:   6 quadratics numerical approach
  692.    wt: 1:   5 quadratics completing the square
  693.    wt: 1:   2 quadratics graphing in general
  694.    wt: 1:   1 quadratics graphing exercises
  695.    wt: 1:   Quadratics in 10 steps
  696.    wt: 1:   11 Growth and Decay in Biology
  697.    wt: 1:   10 Exponential Growth and Decay Models
  698.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  699.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  700.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  701.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  702.    wt: 1:   2 Square Root Simplification a prequel
  703.    wt: 1:   Rewriting algebraic substitution as function substitutions
  704.    wt: 1:   16 cotangent function Definition Graph and Inverse
  705.    wt: 1:   15 cosecant function Definition Graph and Inverse
  706.    wt: 1:   13 cosecant function Definition Graph and Inverse
  707.    wt: 1:   12 motivation for term arctan
  708.    wt: 1:   11 arctan left inverse of tangent Graph
  709.    wt: 1:   10 arctan left inverse of tangent Definition
  710.    wt: 1:   9 motivation for name arcsin
  711.    wt: 1:   7 arcsin left inverse of sine Definition
  712.    wt: 1:   6 Graph of arccos function
  713.    wt: 1:   5 Swapping Coordinates is a reflection
  714.    wt: 1:   3 Left Inverse of cosine arccos definition
  715.    wt: 1:   2 cosine function more properties
  716.    wt: 1:   1 cosine function properties
  717.    wt: 1:   3 graphing y=f(x c) plus K
  718.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  719.    wt: 1:   1 graphing y=f(x a)
  720.    wt: 1:   Parallel Lines and Parallel Transversals
  721.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  722.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  723.    wt: 1:   Parallel Lines and Interior Angles
  724.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  725.    wt: 1:   Straight Lines Intersection of
  726.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  727.    wt: 1:   C Straight Lines Slope from Coordinates
  728.    wt: 1:   B Straight Line Slope Scaling Properties More
  729.    wt: 1:   A Straight Line Slope Scaling Properties
  730.    wt: 1:   12 Straight Lines Graphing mx plus b
  731.    wt: 1:   11 Straight Lines Graphing y=mx
  732.    wt: 1:   10 Straight Lines through Origin Equations More
  733.    wt: 1:   9 Straight Lines through Origin Equations
  734.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  735.    wt: 1:   5 Tangent Function Graph
  736.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  737.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  738.    wt: 1:   1 Straight Lines Slope Concept
  739.    wt: 1:   21 Logarithms Powers and Exponentials
  740.    wt: 1:   20 N th Roots of Complex Numbers
  741.    wt: 1:   19 N th Roots of Unity
  742.    wt: 1:   17 Cube Roots of unity
  743.    wt: 1:   16 References and Originality Question
  744.    wt: 1:   15 Pythagorean Theorem Converse
  745.    wt: 1:   13 Trig Formulas for dot and cross Products
  746.    wt: 1:   12 cis formulas for sine cosines and tangent
  747.    wt: 1:   11 sine and cosine double triple angle formulas
  748.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  749.    wt: 1:   9 The complex number valued trig function cis
  750.    wt: 1:   6 Field Properties of Complex Number
  751.    wt: 1:   5 An Easy Proof of the Distributive Law
  752.    wt: 1:   3 Addition Properties
  753.    wt: 1:   2 Complex Numbers made easier we hope
  754.    wt: 1:   1 Rectangular Polar Coordinates Review
  755.    wt: 1:   Appetizer A Complex Number Applet
  756.    wt: 1:   7 Trignometric Ratios Unit Circle
  757.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  758.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  759.    wt: 1:   3 Trigonometric Ratios sine and cosine
  760.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  761.    wt: 1:   1 Angle Measurement with Degrees
  762.    wt: 1:   Why Trigonometry the whyslopes view
  763.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  764.    wt: 1:   12 Triangles Similarity More Problems
  765.    wt: 1:   11 Triangle Similarity Missing Side Problem
  766.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  767.    wt: 1:   9 Similarity of Triangles Usual Criteria
  768.    wt: 1:   7 Translations Rotations Reflections Dilatations
  769.    wt: 1:   6 Geometric Diagrams in Class
  770.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  771.    wt: 1:   3 Similarity by Design with coordinates
  772.    wt: 1:   2 Similarity By Design
  773.    wt: 1:   1 Early Concept of Like or Similar Shapes
  774.    wt: 1:   13 Pythagorean spatial distance formulas
  775.    wt: 1:   12 Spatial Coordinates
  776.    wt: 1:   11 Triangle Inequality
  777.    wt: 1:   10 Pythagorean plane distance formula
  778.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  779.    wt: 1:   7 Complex Numbers Appetizer
  780.    wt: 1:   6 Polar Multiplication and Rotation
  781.    wt: 1:   5 Cartesian Addition and Translation
  782.    wt: 1:   3 Rectangular Coordinates Review
  783.    wt: 1:   2 Cartesian Coordinates with signs
  784.    wt: 1:   1 Cartesian Coordinates sans signs
  785.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  786.    wt: 1:   PS G Rotation Distributes over Addition
  787.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  788.    wt: 1:   PS E Multiplication with Polar Coordinates
  789.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  790.    wt: 1:   PS B Parallelogram Construction Methods
  791.    wt: 1:   PS A Kite Construction Methods
  792.    wt: 1:   21 Parallelograms
  793.    wt: 1:   19 Right Triangle Similarity
  794.    wt: 1:   16 Angles Subtended By Chords and Diameters
  795.    wt: 1:   13 Angle Side Angle Failure
  796.    wt: 1:   12 Side Angle Side Failure
  797.    wt: 1:   11 Triangle Construction Fails
  798.    wt: 1:   7 Angle Side Angle
  799.    wt: 1:   6 Ruler and compass Angle Bisection
  800.    wt: 1:   5 Side Angle Side
  801.    wt: 1:   3 Isometry of Triangles Congruence
  802.    wt: 1:   2 Correspondence between Triangles
  803.    wt: 1:   1 Initial Concepts and Terms
  804.    wt: 1:   Short Course on Euclidean Geometry
  805.    wt: 1:   A Measurement with Ruler Proper Use
  806.    wt: 1:   3 Lengths and Areas on Maps and Plans
  807.    wt: 1:   2 Measuring Area Directly
  808.    wt: 1:   1 Length Measurement
  809.    wt: 1:   About Folder Contents
  810.    wt: 1:   A Modular and Remainder Arithmetic
  811.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  812.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  813.    wt: 1:   21 Addition of Multiples of a Single Vector
  814.    wt: 1:   19 Signed Multiples of Vectors
  815.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  816.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  817.    wt: 1:   15 Head to Tails in place Addition Associative
  818.    wt: 1:   13 Arrows and Vectors in a Plane
  819.    wt: 1:   8 Division and Mulplication of Compound Fractions
  820.    wt: 1:   4 Location of Point in Decimal Addition
  821.    wt: 1:   8 Column Multiplication Methods in General
  822.    wt: 1:   4 Fraction Operations Axiomatic Development
  823.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  824.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  825.    wt: 1:   6 Compound Interest Forward and Backwards
  826.    wt: 1:   5 Triangle Area Formula Backwards
  827.    wt: 1:   3 Linear Equation Literal Solution More
  828.    wt: 1:   2 Linear Equation Literal Solution
  829.    wt: 1:   1 Changing Calculations
  830.    wt: 1:   4 Subtraction and Division Axioms
  831.    wt: 1:   4 Comparison of Negative Numbers
  832.    wt: 1:   14 Real Number Multiplication
  833.    wt: 1:   8 Coordinates for Maps and Planes
  834.    wt: 1:   4 Rational Numbers
  835.    wt: 1:   5 Independent versus Dependent Variables
  836.    wt: 1:   3 Geometric Formulas and Function Notation
  837.    wt: 1:   2 Computation Rules Evaluation
  838.    wt: 1:   1 Formulas Dependence and Function Notation
  839.    wt: 1:   Simple Exercises
  840.    wt: 1:   8 Compound Interest Formula Evaluation
  841.    wt: 1:   4 Circle Area Formula Example
  842.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  843.    wt: 1:   8 Sets of Numbers
  844.    wt: 1:   4 Subset Builder Notation
  845.    wt: 1:   3 Adding Words To Arithmetic
  846.    wt: 1:   arithmetic videos Real Player Format
  847.    wt: 1:   3 Comparison of Negative Numbers
  848.    wt: 1:   2 More and Less Than with Unlike Signs
  849.    wt: 1:   1 More and Less Than for Counts and Measures
  850.    wt: 1:   3 Properties of Square Roots with example
  851.    wt: 1:   2 Square Roots with Prime
  852.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  853.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  854.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  855.    wt: 1:   6 GCD from Prime
  856.    wt: 1:   2 Least Common Multiple LCM intro via list method
  857.    wt: 1:   7 Converting or Changing Units
  858.    wt: 1:   6 Simplification of Fractions with Units
  859.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  860.    wt: 1:   3 Multiplying Units and Numbers
  861.    wt: 1:   2 Equality and Units
  862.    wt: 1:   1 Addition and Subtraction with Units
  863.    wt: 1:   D Three Term Ratios
  864.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  865.    wt: 1:   B Fractions and Two Term Ratios
  866.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  867.    wt: 1:   D Remainders Modulo 11 Pair Rule
  868.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  869.    wt: 1:   A Associative Law Theorectical Note
  870.    wt: 1:   13 Subtraction with Additive Inverse
  871.    wt: 1:   12 Adding Integers More Examples
  872.    wt: 1:   11 Adding Integers Formulas and Examples
  873.    wt: 1:   10 Integer Multiplication Formulas
  874.    wt: 1:   9 Multiplying Integers
  875.    wt: 1:   7 Multiplication by Signs
  876.    wt: 1:   6 Multiplication by Natural Numbers
  877.    wt: 1:   5 Zero Movement and Additive Inverses
  878.    wt: 1:   3 Adding Movements with same direction
  879.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  880.    wt: 1:   1 Integers as Coordinates
  881.    wt: 1:   D Decimal Multiplication Methods Derived
  882.    wt: 1:   C Counting Areas with Powers of Ten
  883.    wt: 1:   A Elementary Basis for Multiplication Methods
  884.    wt: 1:   6 Multiplication Commutes Order Not Important
  885.    wt: 1:   5 Decimal Fraction Multiplication
  886.    wt: 1:   3 More One Digit Multipliers
  887.    wt: 1:   2 One Digit Multipliers
  888.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  889.    wt: 1:   Video Power Notation in Decimal Expansion
  890.    wt: 1:   1 Why 3 times 5 gives 15
  891.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  892.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  893.    wt: 1:   Subtraction Another Video Lesson
  894.    wt: 1:   9 22 Minute Subtraction Review Video
  895.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  896.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  897.    wt: 1:   5 A Tip for Efficent Subtraction
  898.    wt: 1:   2 Subtraction Easy Case Examples
  899.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  900.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  901.    wt: 1:   7 Adding decimal fractions using decimal point
  902.    wt: 1:   6. Counting and adding units and mixed units
  903.    wt: 1:   2 Decimal Counting Practices
  904.    wt: 1:   1. Explaining Addition Table
  905.    wt: 1:   11 Place Value SI Standard International way
  906.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  907.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  908.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  909.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  910.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  911.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  912.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  913.    wt: 1:   Exact Arithmetic Wholes and Fractions
  914.    wt: 1:   The 20 Times Table
  915.    wt: 1:   The 12 Times Table Visually
  916.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  917.    wt: 1:   About folder contents
  918.    wt: 1:   014 Counting Days with Calendars
  919.    wt: 1:   4 Mixing and Changing Units of Time
  920.    wt: 1:   1 Intro of Kids To Time Date Skills
  921.    wt: 1:   Example 2 volume of a cone
  922.    wt: 1:   Example 1 volume of a pyramid
  923.    wt: 1:   Volume of Solid by Cross Sections Lesson
  924.    wt: 1:   Example 1. Area Between x and x squared
  925.    wt: 1:   Example 3
  926.    wt: 1:   Example 2
  927.    wt: 1:   Example 1
  928.    wt: 1:   Area Between Curves Lesson Take 2
  929.    wt: 1:   Area Between Curves Lesson Take 1
  930.    wt: 1:   Summary
  931.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  932.    wt: 1:   11 Limits at infinity Three Examples
  933.    wt: 1:   10 Three one sided limits with infinite values
  934.    wt: 1:   9 Limits Continuity and Composition
  935.    wt: 1:   7 Evaluation by immediate or delayed substitution
  936.    wt: 1:   6 Continuity at a point
  937.    wt: 1:   5 Jumps and absence of unlimited error control
  938.    wt: 1:   3 Decimal insights for limits continuity convergence
  939.    wt: 1:   2 Algebraic codification
  940.    wt: 1:   1 Numerical introduction
  941.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  942.    wt: 1:   Chapter 22 Complex Numbers
  943.    wt: 1:   Chapter 21 Arrow Addition
  944.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  945.    wt: 1:   Chapter 17. Area Approximation
  946.    wt: 1:   Chapter 16. Velocity Approximation
  947.    wt: 1:   Chapter 15. Slope Approximation
  948.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  949.    wt: 1:   Chapter 13. Acceleration
  950.    wt: 1:   Chapter 12. Units and Slopes
  951.    wt: 1:   Chapter 11. Graphing Slope versus Position
  952.    wt: 1:   Chapter 10 Slopes and Units
  953.    wt: 1:   Chapter 9 About First Courses in Calculus
  954.    wt: 1:   Chapter 7 Slopes and Velocity
  955.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  956.    wt: 1:   Chapter 5. Slope Sign Tests
  957.    wt: 1:   Chapter 3. Slope Sign Analysis
  958.    wt: 1:   Chapter 2. Slopes and Ski Trails
  959.    wt: 1:   Chapter 1.Introduction
  960.    wt: 1:   Foreword
  961.    wt: 1:   Chapter 23 Truth Tables
  962.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  963.    wt: 1:   Chapter 21 Occurrence Tables
  964.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  965.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  966.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  967.    wt: 1:   Chapter 15 Objective Processes
  968.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  969.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  970.    wt: 1:   Chapter 11 Accidental Patterns
  971.    wt: 1:   Chapter 10 Responsibility
  972.    wt: 1:   Chapter 7 Longer Chains of Reason
  973.    wt: 1:   Chapter 6 Chains of Reason
  974.    wt: 1:   Chapter 5 Deception
  975.    wt: 1:   Chapter 2 Skill Development
  976.    wt: 1:   Chapter 1 Introduction
  977.    wt: 1:   Three Remarks
  978.    wt: 1:   Foreword
  979.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  980.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  981.    wt: 1:   S Adding words to algebra
  982.    wt: 1:   O On Learning Mathematics and Science
  983.    wt: 1:   M Words to extend arithmetic
  984.    wt: 1:   H Jigsaw puzzles and problem solving
  985.    wt: 1:   F. The student teacher tutor feedback loop
  986.    wt: 1:   E. When and how to correct errors
  987.    wt: 1:   D. Check work a must with a caution
  988.    wt: 1:   How to Build Skills and Confidence
  989.    wt: 1:   Implementation Notes
  990.    wt: 1:   More Algebra and Slope based Calculus Preview
  991.    wt: 1:   Systematic Algebra Skill Development Missing Links
  992.    wt: 1:   Road Safety Questions
  993.    wt: 1:   The Math Forum and Site Content
  994.    wt: 1:   Site Reviews
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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