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

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

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

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

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

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

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

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

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  1.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  2.    wt: 2:   Parent Center/
  3.    wt: 2:   3 Quadratics Geometrically/
  4.    wt: 2:   13 Vectors/
  5.    wt: 2:   3 Cartesian and Polar Coordinates/
  6.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  7.    wt: 2:   2 Formula Forward Use Evaluation/
  8.    wt: 2:   3 Prime Factorization Skills/
  9.    wt: 2:   Work and Study Tips/
  10.    wt: 2:   Mathematics Skill Development Framework/
  11.    wt: 1:   LAMP Lean Applied Mathematics Program/
  12.    wt: 1:   9 Proportionality Backwards and Forwards/
  13.    wt: 1:   8 Unifying Theme For Algebra/
  14.    wt: 1:   Step 4 Gaussian Elimination/
  15.    wt: 1:   Step 1 Stick diagram and fractions/
  16.    wt: 1:   3 Solving Linear Equations/
  17.    wt: 1:   1 Working With Sets/
  18.    wt: 1:   C Decimal Multiplication Methods/
  19.    wt: 1:   4 Lessons on Using Derivatives/
  20.    wt: 1:   38 Lessons on Calculating Derivatives/
  21.    wt: 1:   13 Lessons on Limits and Continuity/
  22.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  23.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  24.    wt: 1:   Volume 2 Three Skills For Algebra/

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313 matches:

  1.    wt: 5:   10 Ends values for work study instruction
  2.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  3.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  4.    wt: 3:   13 Trig Formulas for dot and cross Products
  5.    wt: 3:   Formula Usage Show Work Format
  6.    wt: 3:   1 Written work formats for developing and showing skill
  7.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  8.    wt: 3:   38 Formulas and derivatives for powers and roots
  9.    wt: 3:   G. Written work formats for developing and showing skill
  10.    wt: 2:   formal or informal peer review
  11.    wt: 2:   Prequel In For A Penny In For A Pound
  12.    wt: 2:   3 Preparing for Science Studies
  13.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  14.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  15.    wt: 2:   5 Function notation for geometric transformations
  16.    wt: 2:   3 Formula or function graphing exercise
  17.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  18.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  19.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  20.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  21.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  22.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  23.    wt: 2:   26 Formulas for products of sines and cosines
  24.    wt: 2:   17E Trig Formulas for dot and cross Products
  25.    wt: 2:   17D cis formulas for sine cosines and tangent
  26.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  27.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  28.    wt: 2:   12 cis formulas for sine cosines and tangent
  29.    wt: 2:   4 Equations for lines three forms
  30.    wt: 2:   3 Slope product for perpendicular lines
  31.    wt: 2:   13 Pythagorean spatial distance formulas
  32.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  33.    wt: 2:   3 Product Axioms Two Forms
  34.    wt: 2:   3 Geometric Formulas and Function Notation
  35.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  36.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  37.    wt: 2:   13 Naming Identifying Formulas with Words
  38.    wt: 2:   3 Triangle Area Formula Example
  39.    wt: 2:   3 signed coordinates for maps and planes
  40.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  41.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  42.    wt: 2:   Long Division forwards and backwards Example 3
  43.    wt: 2:   3. How to add with decimals A sans conversions
  44.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  45.    wt: 2:   Formula Evaluation how to show work
  46.    wt: 2:   33 Chain Rule Real Player video examples
  47.    wt: 2:   3 Motivation for Limit Definition Take 2
  48.    wt: 2:   3 Decimal insights for limits continuity convergence
  49.    wt: 2:   Postscript For Better Performance
  50.    wt: 2:   Chapter 23. Notation For Sums
  51.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  52.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  53.    wt: 1:   I LAMP Introduction Study Habits
  54.    wt: 1:   Skills Chapter 3 Algebra
  55.    wt: 1:   3 Euclidean Geometry Leanly
  56.    wt: 1:   three goals to set for students
  57.    wt: 1:   permissions for teachers
  58.    wt: 1:   activities for students
  59.    wt: 1:   Education Reform Inconsistencies
  60.    wt: 1:   geometric implications for algebra
  61.    wt: 1:   three goals for Mathematics Education
  62.    wt: 1:   05 13 OldSiteEntrancePage
  63.    wt: 1:   02 21 words for teachers
  64.    wt: 1:   three aims for mathematics students
  65.    wt: 1:   standards for course material
  66.    wt: 1:   Four ways to improve education reform
  67.    wt: 1:   need for a mixed mathematics curriculum
  68.    wt: 1:   fairness and inductive principles for instruction
  69.    wt: 1:   words for mathematics instructor
  70.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  71.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  72.    wt: 1:   3 Energy Power Heat08
  73.    wt: 1:   C Energy Power03
  74.    wt: 1:   E Wire Resistance Calculation03
  75.    wt: 1:   3 Like resistors in parallel
  76.    wt: 1:   C Electromotive force conventional current02
  77.    wt: 1:   B Electromotive force conventional current01
  78.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  79.    wt: 1:   24 Standards For Skill Develoment Take II
  80.    wt: 1:   24 Standards For Skill Develoment
  81.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  82.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  83.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  84.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  85.    wt: 1:   22 Student Centered Highschool Mathematics
  86.    wt: 1:   17 Math Booklets for children and young teenagers
  87.    wt: 1:   15 Counting For Parents
  88.    wt: 1:   13 Addition and Addition Tables
  89.    wt: 1:   12 Goals and Objectives For Mathematics
  90.    wt: 1:   5 Patience Please for Yourself and Your Charges
  91.    wt: 1:   4 Learning Takes Time and Effort
  92.    wt: 1:   Ages 3 plus to 4 plus
  93.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  94.    wt: 1:   sign monoticity analysis example 3
  95.    wt: 1:   23 Inverse Functions
  96.    wt: 1:   13 From one to one to many to one
  97.    wt: 1:   6 Set Existence Formation and Notation
  98.    wt: 1:   8 quadratics backward use of various formulas
  99.    wt: 1:   7 quadratic formulla derivation
  100.    wt: 1:   3 quadratics factoring by inspection
  101.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  102.    wt: 1:   8 Notes for instructors or tutors
  103.    wt: 1:   3 Polynomials Multiplication Addition
  104.    wt: 1:   13 cosecant function Definition Graph and Inverse
  105.    wt: 1:   12 motivation for term arctan
  106.    wt: 1:   9 motivation for name arcsin
  107.    wt: 1:   4 possible motivation for term arccos
  108.    wt: 1:   3 Left Inverse of cosine arccos definition
  109.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  110.    wt: 1:   13 Velocity Vectors in Physics
  111.    wt: 1:   3 Navigation with Arrows or Vectors
  112.    wt: 1:   3 graphing y=f(x c) plus K
  113.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  114.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  115.    wt: 1:   Straight Lines ASA Intersection Study More
  116.    wt: 1:   Straight Lines ASA Intersection Study
  117.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  118.    wt: 1:   8 Straight Lines Equation for vertical
  119.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  120.    wt: 1:   17 tangent function angle sum formulas
  121.    wt: 1:   32 seven rows of pascals triangle
  122.    wt: 1:   31 basic secant cosecant cotangent trig identities
  123.    wt: 1:   30 unit circle calculation of six trigonometric functions
  124.    wt: 1:   29 secant cosecant and cotangent for acute angles
  125.    wt: 1:   25 tangent double angle formula Slope connection
  126.    wt: 1:   24 tangent Angle Difference Formula
  127.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  128.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  129.    wt: 1:   21 sine and cosine Half Angle Formulas
  130.    wt: 1:   20 sine and cosine Double Angle Formulas
  131.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  132.    wt: 1:   17C sine and cosine double triple angle formulas
  133.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  134.    wt: 1:   13 Graph of tangent function many periods
  135.    wt: 1:   12 Graph of tangent function for one period
  136.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  137.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  138.    wt: 1:   11 sine and cosine double triple angle formulas
  139.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  140.    wt: 1:   3 Addition Properties
  141.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  142.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  143.    wt: 1:   3 Trigonometric Ratios sine and cosine
  144.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  145.    wt: 1:   3 Similarity by Design with coordinates
  146.    wt: 1:   8 Mid Point Formula
  147.    wt: 1:   2 point slope equation for a line
  148.    wt: 1:   10 Pythagorean plane distance formula
  149.    wt: 1:   3 Rectangular Coordinates Review
  150.    wt: 1:   PS H Distributive Law For Complex Numbers
  151.    wt: 1:   13 Angle Side Angle Failure
  152.    wt: 1:   3 Isometry of Triangles Congruence
  153.    wt: 1:   3 Lengths and Areas on Maps and Plans
  154.    wt: 1:   23 Distributive Law Two Derivations
  155.    wt: 1:   13 Arrows and Vectors in a Plane
  156.    wt: 1:   3 Location of Point in Decimal Multiplication
  157.    wt: 1:   6 Column Methods for Decimal Multiplication
  158.    wt: 1:   5 Distributive Law for Whole Numbers
  159.    wt: 1:   4 Commutative Law Groups Counting Form
  160.    wt: 1:   3 Multiplicative Counting Skills Principles
  161.    wt: 1:   3 Inequalities Algebraically
  162.    wt: 1:   3 Proportionality Examples
  163.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  164.    wt: 1:   6 Compound Interest Forward and Backwards
  165.    wt: 1:   5 Triangle Area Formula Backwards
  166.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  167.    wt: 1:   3 Linear Equation Literal Solution More
  168.    wt: 1:   3 More and Less Than with Unlike Signs
  169.    wt: 1:   2 More and Less Than for Counts and Measures
  170.    wt: 1:   13 Real Number Subtraction
  171.    wt: 1:   9 Coordinates for Regions in Space
  172.    wt: 1:   8 Coordinates for Maps and Planes
  173.    wt: 1:   3 Fractions
  174.    wt: 1:   1 Formulas Dependence and Function Notation
  175.    wt: 1:   3 GE III Equation Addition and Multiplication
  176.    wt: 1:   3 Solving triangular system example
  177.    wt: 1:   3 Four Examples
  178.    wt: 1:   3 Two Examples
  179.    wt: 1:   Using Letters for Physical Quantities
  180.    wt: 1:   8 Compound Interest Formula Evaluation
  181.    wt: 1:   7 Compound Interest Formula Introduction
  182.    wt: 1:   5 Box Volume Formula Example
  183.    wt: 1:   4 Circle Area Formula Example
  184.    wt: 1:   2 Another Rectangle Area Formula Example
  185.    wt: 1:   3 Counting with Sets etc
  186.    wt: 1:   3 Adding Words To Arithmetic
  187.    wt: 1:   1 Three Skills For Algebra
  188.    wt: 1:   arithmetic videos Real Player Format
  189.    wt: 1:   3 Comparison of Negative Numbers
  190.    wt: 1:   1 More and Less Than for Counts and Measures
  191.    wt: 1:   3 Properties of Square Roots with example
  192.    wt: 1:   13 GCD from given Prime Factorization
  193.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  194.    wt: 1:   3 Counting with Tables and Trees II
  195.    wt: 1:   4 signed coordinates for regions in space
  196.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  197.    wt: 1:   3 Multiplying Units and Numbers
  198.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  199.    wt: 1:   21 Working With Signs
  200.    wt: 1:   21 Reciprocals for Fractions and Wholes
  201.    wt: 1:   13 Fraction Comparison Algebraic View
  202.    wt: 1:   3 Unit fraction of a fraction
  203.    wt: 1:   13 Subtraction with Additive Inverse
  204.    wt: 1:   11 Adding Integers Formulas and Examples
  205.    wt: 1:   10 Integer Multiplication Formulas
  206.    wt: 1:   3 Adding Movements with same direction
  207.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  208.    wt: 1:   26 Divisibility by 2 3 5 Example
  209.    wt: 1:   23 Remainder Arithmetic Modulo 2
  210.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  211.    wt: 1:   21 Remainder Arithmetic Modulo 3
  212.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  213.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  214.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  215.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  216.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  217.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  218.    wt: 1:   13 video Factors of 24 using prime
  219.    wt: 1:   10 video Prime Factorization upto 23 squared
  220.    wt: 1:   3 video Primes and Composites from 9 times table
  221.    wt: 1:   Long Division forwards and backwards Example 2
  222.    wt: 1:   Long Division forwards and backwards Example 1
  223.    wt: 1:   12 Why Long Division Works Take III
  224.    wt: 1:   9 Why Long Division Works Take II
  225.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  226.    wt: 1:   3 Division Single Digit Divisor Example
  227.    wt: 1:   A Elementary Basis for Multiplication Methods
  228.    wt: 1:   3 More One Digit Multipliers
  229.    wt: 1:   1 Why 3 times 5 gives 15
  230.    wt: 1:   Subtraction with J Conversions Example
  231.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  232.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  233.    wt: 1:   5 A Tip for Efficent Subtraction
  234.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  235.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  236.    wt: 1:   8 What skills and work habits to require
  237.    wt: 1:   4. How to add with decimals B with conversions
  238.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  239.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  240.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  241.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  242.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  243.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  244.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  245.    wt: 1:   Expression Evaluation how to show work
  246.    wt: 1:   015 School and work day counting tables
  247.    wt: 1:   013 Travel Time Tables
  248.    wt: 1:   5 Conversion Arithmetic
  249.    wt: 1:   3 Units and Lengths of Time
  250.    wt: 1:   Example 3
  251.    wt: 1:   A Related Material in Volume 3
  252.    wt: 1:   3 Two Chain Rule Method Exercises
  253.    wt: 1:   A Related lessons in Volume 3
  254.    wt: 1:   3 Second derivative test
  255.    wt: 1:   36 Cube root derivative animated
  256.    wt: 1:   34 Derivative of exponential function
  257.    wt: 1:   31 Derivatives of inverse functions
  258.    wt: 1:   30Chain Rule A Proof
  259.    wt: 1:   28 Chain Rule Preparation for a Proof
  260.    wt: 1:   23 Chain Rule in general
  261.    wt: 1:   22 Chain Rule for polynomials
  262.    wt: 1:   21 Chain Rule for powers
  263.    wt: 1:   20 Chain Rule for Pulley Systems
  264.    wt: 1:   19 Chain Rule for linear functions
  265.    wt: 1:   15 sine and cosine derivatives 3rd step
  266.    wt: 1:   13 sine and cosine derivatives 1st step
  267.    wt: 1:   10 Power rule for negative integers
  268.    wt: 1:   2 Motivation for Limit Definition Take 1
  269.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  270.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  271.    wt: 1:   10 Three one sided limits with infinite values
  272.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  273.    wt: 1:   G.3 Constant Difference Theorem Proof
  274.    wt: 1:   F.3 Intermediate Value Theorem
  275.    wt: 1:   B3 Bolzano Weierstrass Theorem
  276.    wt: 1:   PostScript For and Against Decimal Perspectives
  277.    wt: 1:   Chapter 23 Links To Trigonometry
  278.    wt: 1:   Chapter 13. Acceleration
  279.    wt: 1:   Chapter 3. Slope Sign Analysis
  280.    wt: 1:   Fall 1983 Calculus Appetizer
  281.    wt: 1:   Foreword
  282.    wt: 1:   Postscript More on Better Performance
  283.    wt: 1:   Appendix E. How To Study Mathematics and Why
  284.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  285.    wt: 1:   Chapter 31 Direct and Indirect Reason
  286.    wt: 1:   Chapter 30 Truth Tables
  287.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  288.    wt: 1:   Chapter 18. Rules for Algebra
  289.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  290.    wt: 1:   Chapter 13. Second Reading Guide
  291.    wt: 1:   Chapter 8 Three Skills For Algebra
  292.    wt: 1:   Solutions For Arithmetic Exercises
  293.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  294.    wt: 1:   Chapter 3 Chains of Reason
  295.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  296.    wt: 1:   Foreword
  297.    wt: 1:   Chapter 9 The Two Ends
  298.    wt: 1:   Chapter 3 Algebra Difficulties
  299.    wt: 1:   Chapter 2 For and Against Mathematics
  300.    wt: 1:   Foreword
  301.    wt: 1:   Postscript C Consistency as a Tool for Reason
  302.    wt: 1:   Chapter 23 Truth Tables
  303.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  304.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  305.    wt: 1:   Foreword
  306.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  307.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  308.    wt: 1:   N Mathematics Prepare for College Studies
  309.    wt: 1:   J. More on written work and showing skill
  310.    wt: 1:   D. Check work a must with a caution
  311.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  312.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  313.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

625 matches:

  1.    wt: 7:   10 Ends values for work study instruction
  2.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  3.    wt: 5:   3 Preparing for Science Studies
  4.    wt: 5:   13 Pythagorean spatial distance formulas
  5.    wt: 5:   3 Solving triangular system example
  6.    wt: 5:   1 Written work formats for developing and showing skill
  7.    wt: 5:   G. Written work formats for developing and showing skill
  8.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  9.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  10.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  11.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  12.    wt: 4:   13 Addition and Addition Tables
  13.    wt: 4:   13 Velocity Vectors in Physics
  14.    wt: 4:   3 Navigation with Arrows or Vectors
  15.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  16.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  17.    wt: 4:   13 Trig Formulas for dot and cross Products
  18.    wt: 4:   3 Rectangular Coordinates Review
  19.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  20.    wt: 4:   3 Four Examples
  21.    wt: 4:   Formula Usage Show Work Format
  22.    wt: 4:   13 Naming Identifying Formulas with Words
  23.    wt: 4:   3 Triangle Area Formula Example
  24.    wt: 4:   13 video Factors of 24 using prime
  25.    wt: 4:   3 video Primes and Composites from 9 times table
  26.    wt: 4:   38 Formulas and derivatives for powers and roots
  27.    wt: 4:   Chapter 23. Notation For Sums
  28.    wt: 4:   Systematic Algebra Skill Development Missing Links
  29.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  30.    wt: 3:   Skills Chapter 3 Algebra
  31.    wt: 3:   Education Reform Inconsistencies
  32.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  33.    wt: 3:   24 Standards For Skill Develoment Take II
  34.    wt: 3:   24 Standards For Skill Develoment
  35.    wt: 3:   22 Student Centered Highschool Mathematics
  36.    wt: 3:   17 Math Booklets for children and young teenagers
  37.    wt: 3:   15 Counting For Parents
  38.    wt: 3:   12 Goals and Objectives For Mathematics
  39.    wt: 3:   5 Patience Please for Yourself and Your Charges
  40.    wt: 3:   4 Learning Takes Time and Effort
  41.    wt: 3:   3 Formula or function graphing exercise
  42.    wt: 3:   8 quadratics backward use of various formulas
  43.    wt: 3:   7 quadratic formulla derivation
  44.    wt: 3:   3 quadratics factoring by inspection
  45.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  46.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  47.    wt: 3:   3 Slope product for perpendicular lines
  48.    wt: 3:   10 Pythagorean plane distance formula
  49.    wt: 3:   3 Proportionality Examples
  50.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  51.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  52.    wt: 3:   3 GE III Equation Addition and Multiplication
  53.    wt: 3:   4 Solving a triangular system exercise
  54.    wt: 3:   2 Essentially one exercises three with solution
  55.    wt: 3:   1 Essentially One Unknown
  56.    wt: 3:   3 Two Examples
  57.    wt: 3:   8 Compound Interest Formula Evaluation
  58.    wt: 3:   7 Compound Interest Formula Introduction
  59.    wt: 3:   5 Box Volume Formula Example
  60.    wt: 3:   4 Circle Area Formula Example
  61.    wt: 3:   2 Another Rectangle Area Formula Example
  62.    wt: 3:   10 video Prime Factorization upto 23 squared
  63.    wt: 3:   3 More One Digit Multipliers
  64.    wt: 3:   3. How to add with decimals A sans conversions
  65.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  66.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  67.    wt: 3:   33 Chain Rule Real Player video examples
  68.    wt: 3:   31 Derivatives of inverse functions
  69.    wt: 3:   22 Chain Rule for polynomials
  70.    wt: 3:   3 Motivation for Limit Definition Take 2
  71.    wt: 3:   3 Decimal insights for limits continuity convergence
  72.    wt: 3:   B3 Bolzano Weierstrass Theorem
  73.    wt: 3:   Chapter 23 Links To Trigonometry
  74.    wt: 3:   Chapter 13. Acceleration
  75.    wt: 3:   Chapter 3. Slope Sign Analysis
  76.    wt: 3:   Postscript For Better Performance
  77.    wt: 3:   Chapter 31 Direct and Indirect Reason
  78.    wt: 3:   Chapter 30 Truth Tables
  79.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  80.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  81.    wt: 3:   Chapter 13. Second Reading Guide
  82.    wt: 3:   Chapter 3 Chains of Reason
  83.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  84.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  85.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  86.    wt: 3:   N Mathematics Prepare for College Studies
  87.    wt: 3:   M Words to extend arithmetic
  88.    wt: 3:   J. More on written work and showing skill
  89.    wt: 3:   D. Check work a must with a caution
  90.    wt: 3:   C. Domino effect of being careful
  91.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  92.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  93.    wt: 3:   Implementation Notes
  94.    wt: 3:   More Algebra and Slope based Calculus Preview
  95.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  96.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  97.    wt: 2:   I LAMP Introduction Study Habits
  98.    wt: 2:   Ramblings Extrinsic numbers theory
  99.    wt: 2:   Ramblings Introduction Algebra Essay
  100.    wt: 2:   3 Euclidean Geometry Leanly
  101.    wt: 2:   permissions for teachers
  102.    wt: 2:   formal or informal peer review
  103.    wt: 2:   Prequel In For A Penny In For A Pound
  104.    wt: 2:   C Energy Power03
  105.    wt: 2:   B Electromotive force conventional current01
  106.    wt: 2:   Home Tutoring and Home Schooling
  107.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  108.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  109.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  110.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  111.    wt: 2:   18 Primary School Mathematics
  112.    wt: 2:   16 Secondary Mathematics Tips
  113.    wt: 2:   14 Multiplication and Times Tables
  114.    wt: 2:   11 Help and Defend Your Child or Teens Education
  115.    wt: 2:   9 Streaming by Student Cooperation
  116.    wt: 2:   8 The Effect of Negative Remarks
  117.    wt: 2:   7 Student Motivation
  118.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  119.    wt: 2:   2 Reading and Writing Skills
  120.    wt: 2:   1 Speaking Skills
  121.    wt: 2:   Ages 3 plus to 4 plus
  122.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  123.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  124.    wt: 2:   sign monoticity analysis example 3
  125.    wt: 2:   23 Inverse Functions
  126.    wt: 2:   13 From one to one to many to one
  127.    wt: 2:   5 Function notation for geometric transformations
  128.    wt: 2:   A Quadratics Summary
  129.    wt: 2:   10 quadratic exercises
  130.    wt: 2:   9 quadratics physical and further context
  131.    wt: 2:   6 quadratics numerical approach
  132.    wt: 2:   5 quadratics completing the square
  133.    wt: 2:   4 quadratics difference of two squares
  134.    wt: 2:   2 quadratics graphing in general
  135.    wt: 2:   1 quadratics graphing exercises
  136.    wt: 2:   Quadratics in 10 steps
  137.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  138.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  139.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  140.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  141.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  142.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  143.    wt: 2:   A Global Time and Navigation
  144.    wt: 2:   15 Dot and Cross Product
  145.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  146.    wt: 2:   12 From Applied To Pure Mathematics
  147.    wt: 2:   11 Component Method
  148.    wt: 2:   10 Parallelogram Addition Method
  149.    wt: 2:   9 Head to Tail Coordinate View
  150.    wt: 2:   8 Parallel Vectors
  151.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  152.    wt: 2:   6 Vectors with Coordinates
  153.    wt: 2:   5 Head To Tail Arrow Addition
  154.    wt: 2:   4 Resultant of a Sum of Movements
  155.    wt: 2:   2 Signed Coordinates
  156.    wt: 2:   1 Unsigned Coordinates
  157.    wt: 2:   Vector and Complex Number Applet
  158.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  159.    wt: 2:   12 Straight Lines Graphing mx plus b
  160.    wt: 2:   32 seven rows of pascals triangle
  161.    wt: 2:   31 basic secant cosecant cotangent trig identities
  162.    wt: 2:   26 Formulas for products of sines and cosines
  163.    wt: 2:   24 tangent Angle Difference Formula
  164.    wt: 2:   17E Trig Formulas for dot and cross Products
  165.    wt: 2:   17D cis formulas for sine cosines and tangent
  166.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  167.    wt: 2:   12 cis formulas for sine cosines and tangent
  168.    wt: 2:   3 Addition Properties
  169.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  170.    wt: 2:   3 Similarity by Design with coordinates
  171.    wt: 2:   4 Equations for lines three forms
  172.    wt: 2:   12 Spatial Coordinates
  173.    wt: 2:   11 Triangle Inequality
  174.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  175.    wt: 2:   8 Distance Between Points on a Line
  176.    wt: 2:   7 Complex Numbers Appetizer
  177.    wt: 2:   6 Polar Multiplication and Rotation
  178.    wt: 2:   5 Cartesian Addition and Translation
  179.    wt: 2:   4 Polar Coordinates to and from
  180.    wt: 2:   2 Cartesian Coordinates with signs
  181.    wt: 2:   1 Cartesian Coordinates sans signs
  182.    wt: 2:   13 Angle Side Angle Failure
  183.    wt: 2:   3 Isometry of Triangles Congruence
  184.    wt: 2:   23 Distributive Law Two Derivations
  185.    wt: 2:   3 Multiplicative Counting Skills Principles
  186.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  187.    wt: 2:   6 Compound Interest Forward and Backwards
  188.    wt: 2:   5 Triangle Area Formula Backwards
  189.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  190.    wt: 2:   3 Linear Equation Literal Solution More
  191.    wt: 2:   3 Product Axioms Two Forms
  192.    wt: 2:   3 Geometric Formulas and Function Notation
  193.    wt: 2:   6 Algebraic Solution Example
  194.    wt: 2:   5 Algebraic Solutions Introduction
  195.    wt: 2:   4 Four Examples Fractional Coefficients
  196.    wt: 2:   2 Three Examples
  197.    wt: 2:   1 Proper Equal Sign Usage
  198.    wt: 2:   Using Letters for Physical Quantities
  199.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  200.    wt: 2:   11 Volume of Sphere
  201.    wt: 2:   10 Volume of Pyramid
  202.    wt: 2:   9 Volume of Cone
  203.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  204.    wt: 2:   3 Counting with Sets etc
  205.    wt: 2:   3 Comparison of Negative Numbers
  206.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  207.    wt: 2:   3 signed coordinates for maps and planes
  208.    wt: 2:   3 Unit fraction of a fraction
  209.    wt: 2:   3 Adding Movements with same direction
  210.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  211.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  212.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  213.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  214.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  215.    wt: 2:   20 Uniqueness of Prime Factorization
  216.    wt: 2:   19 video Prime Factorization Unique
  217.    wt: 2:   18 video Count Factors given Prime Factorization
  218.    wt: 2:   17 Identify and Count Factors using Primes
  219.    wt: 2:   16 video Factors of 980 using prime
  220.    wt: 2:   15 video Factors of 20 using Prime Factorization
  221.    wt: 2:   14 video Factors of 24 Take II
  222.    wt: 2:   12 LCD GCD and LCM using Primes
  223.    wt: 2:   11 Efficient Square Rule Use
  224.    wt: 2:   9 video Prime Factorization upto 19 squared
  225.    wt: 2:   8 video Prime Factorization upto 19
  226.    wt: 2:   7 Calculator Usage Notes and Cautions
  227.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  228.    wt: 2:   5 Prime Factorization and a Square Rule
  229.    wt: 2:   4 video Prime Factorization Introduction
  230.    wt: 2:   2 Prime and Composites less than 16
  231.    wt: 2:   1 video how Products are bigger than factor
  232.    wt: 2:   Long Division forwards and backwards Example 3
  233.    wt: 2:   3 Division Single Digit Divisor Example
  234.    wt: 2:   A Elementary Basis for Multiplication Methods
  235.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  236.    wt: 2:   1 Why 3 times 5 gives 15
  237.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  238.    wt: 2:   Formula Evaluation how to show work
  239.    wt: 2:   Expression Evaluation how to show work
  240.    wt: 2:   Example 3
  241.    wt: 2:   A Related lessons in Volume 3
  242.    wt: 2:   3 Second derivative test
  243.    wt: 2:   2 Second derivative test prequel
  244.    wt: 2:   36 Cube root derivative animated
  245.    wt: 2:   34 Derivative of exponential function
  246.    wt: 2:   30Chain Rule A Proof
  247.    wt: 2:   28 Chain Rule Preparation for a Proof
  248.    wt: 2:   23 Chain Rule in general
  249.    wt: 2:   21 Chain Rule for powers
  250.    wt: 2:   20 Chain Rule for Pulley Systems
  251.    wt: 2:   19 Chain Rule for linear functions
  252.    wt: 2:   15 sine and cosine derivatives 3rd step
  253.    wt: 2:   13 sine and cosine derivatives 1st step
  254.    wt: 2:   12 Quotient rule examples
  255.    wt: 2:   10 Power rule for negative integers
  256.    wt: 2:   5 Product Rule
  257.    wt: 2:   2 Motivation for Limit Definition Take 1
  258.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  259.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  260.    wt: 2:   10 Three one sided limits with infinite values
  261.    wt: 2:   4 Numerical properties
  262.    wt: 2:   .H2 Lipshitz Conditions Integration Calculus Reform
  263.    wt: 2:   G.3 Constant Difference Theorem Proof
  264.    wt: 2:   F.5a Equicontinuity Theorems
  265.    wt: 2:   F.3 Intermediate Value Theorem
  266.    wt: 2:   PostScript For and Against Decimal Perspectives
  267.    wt: 2:   Fall 1983 Calculus Appetizer
  268.    wt: 2:   Foreword
  269.    wt: 2:   Postscript More on Better Performance
  270.    wt: 2:   Appendix E. How To Study Mathematics and Why
  271.    wt: 2:   Appendix C. How to Read
  272.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  273.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  274.    wt: 2:   Chapter 18. Rules for Algebra
  275.    wt: 2:   Chapter 8 Three Skills For Algebra
  276.    wt: 2:   Solutions For Arithmetic Exercises
  277.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  278.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  279.    wt: 2:   Foreword
  280.    wt: 2:   Chapter 3 Algebra Difficulties
  281.    wt: 2:   Chapter 23 Truth Tables
  282.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  283.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  284.    wt: 2:   S Adding words to algebra
  285.    wt: 2:   R Why Learn Mathematics Skills
  286.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  287.    wt: 2:   O On Learning Mathematics and Science
  288.    wt: 2:   L Skills with take home value
  289.    wt: 2:   N Improving Marks on Tests and Finals
  290.    wt: 2:   I. Logic and language skills
  291.    wt: 2:   H more Routine to non routine problem solving
  292.    wt: 2:   H Jigsaw puzzles and problem solving
  293.    wt: 2:   F. The student teacher tutor feedback loop
  294.    wt: 2:   E. When and how to correct errors
  295.    wt: 2:   B. Domino effect of errors
  296.    wt: 2:   A. Skill has to be seen to believed
  297.    wt: 2:   How to Build Skills and Confidence
  298.    wt: 2:   Helping the Blind in Logic and Mathematics
  299.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  300.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  301.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  302.    wt: 2:   Which Way To Go
  303.    wt: 1:   Appendix 2 primary school Arithmetic 01
  304.    wt: 1:   Appendix 1 primary and preschool mathematic
  305.    wt: 1:   K LAMP Musings Science Education
  306.    wt: 1:   J LAMP Introduction Extrinsic Origins
  307.    wt: 1:   H LAMP Introduction Instructional Concepts
  308.    wt: 1:   G LAMP Introduction Problem Solving Skills
  309.    wt: 1:   F LAMP Introduction Prerequisites
  310.    wt: 1:   E LAMP Introduction Modern Mathematics
  311.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  312.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  313.    wt: 1:   A Introduction Objectives
  314.    wt: 1:   Skills Chapter 5 Calculus
  315.    wt: 1:   Skills Chapter 4 Logic
  316.    wt: 1:   Skills Chapter 2 Geometry
  317.    wt: 1:   Skills Chapter 1 Arithmetic
  318.    wt: 1:   Skills Chapter 0 Introduction
  319.    wt: 1:   three goals to set for students
  320.    wt: 1:   Math Ed if it must be short make it lean effective
  321.    wt: 1:   activities for students
  322.    wt: 1:   modern education
  323.    wt: 1:   learning takes time
  324.    wt: 1:   grouping students according to ability
  325.    wt: 1:   what should be learnt and When
  326.    wt: 1:   mathematics in context
  327.    wt: 1:   Postscript 2007 01 10
  328.    wt: 1:   five decades make a difference
  329.    wt: 1:   geometric implications for algebra
  330.    wt: 1:   teaching tutoring algebraic reason
  331.    wt: 1:   the trouble with algebra
  332.    wt: 1:   three goals for Mathematics Education
  333.    wt: 1:   05 13 OldSiteEntrancePage
  334.    wt: 1:   02 21 words for teachers
  335.    wt: 1:   three aims for mathematics students
  336.    wt: 1:   standards for course material
  337.    wt: 1:   Theory of Knowledge
  338.    wt: 1:   Different Kinds of Reasoning in maths
  339.    wt: 1:   Four ways to improve education reform
  340.    wt: 1:   need for a mixed mathematics curriculum
  341.    wt: 1:   fairness and inductive principles for instruction
  342.    wt: 1:   words for mathematics instructor
  343.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  344.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  345.    wt: 1:   liens
  346.    wt: 1:   3 Energy Power Heat08
  347.    wt: 1:   E Wire Resistance Calculation03
  348.    wt: 1:   A Wire Resistance Qualitative01
  349.    wt: 1:   3 Like resistors in parallel
  350.    wt: 1:   C Electromotive force conventional current02
  351.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  352.    wt: 1:   6 Set Existence Formation and Notation
  353.    wt: 1:   8 Notes for instructors or tutors
  354.    wt: 1:   3 Polynomials Multiplication Addition
  355.    wt: 1:   13 cosecant function Definition Graph and Inverse
  356.    wt: 1:   12 motivation for term arctan
  357.    wt: 1:   9 motivation for name arcsin
  358.    wt: 1:   4 possible motivation for term arccos
  359.    wt: 1:   3 Left Inverse of cosine arccos definition
  360.    wt: 1:   3 graphing y=f(x c) plus K
  361.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  362.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  363.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  364.    wt: 1:   Straight Lines ASA Intersection Study More
  365.    wt: 1:   Straight Lines ASA Intersection Study
  366.    wt: 1:   Straight Lines Intersection of
  367.    wt: 1:   14 Straight Lines Equations General Case
  368.    wt: 1:   11 Straight Lines Graphing y=mx
  369.    wt: 1:   10 Straight Lines through Origin Equations More
  370.    wt: 1:   9 Straight Lines through Origin Equations
  371.    wt: 1:   8 Straight Lines Equation for vertical
  372.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  373.    wt: 1:   17 tangent function angle sum formulas
  374.    wt: 1:   30 unit circle calculation of six trigonometric functions
  375.    wt: 1:   29 secant cosecant and cotangent for acute angles
  376.    wt: 1:   25 tangent double angle formula Slope connection
  377.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  378.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  379.    wt: 1:   21 sine and cosine Half Angle Formulas
  380.    wt: 1:   20 sine and cosine Double Angle Formulas
  381.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  382.    wt: 1:   17C sine and cosine double triple angle formulas
  383.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  384.    wt: 1:   15 sine cosine Complementary Angle Relations
  385.    wt: 1:   13 Graph of tangent function many periods
  386.    wt: 1:   12 Graph of tangent function for one period
  387.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  388.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  389.    wt: 1:   11 sine and cosine double triple angle formulas
  390.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  391.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  392.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  393.    wt: 1:   3 Trigonometric Ratios sine and cosine
  394.    wt: 1:   6 Geometric Diagrams in Class
  395.    wt: 1:   8 Mid Point Formula
  396.    wt: 1:   2 point slope equation for a line
  397.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  398.    wt: 1:   PS H Distributive Law For Complex Numbers
  399.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  400.    wt: 1:   3 Lengths and Areas on Maps and Plans
  401.    wt: 1:   26 More Less Greater Than Comparison
  402.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  403.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  404.    wt: 1:   22 Multiplication of Signed Numbers
  405.    wt: 1:   13 Arrows and Vectors in a Plane
  406.    wt: 1:   3 Location of Point in Decimal Multiplication
  407.    wt: 1:   6 Column Methods for Decimal Multiplication
  408.    wt: 1:   5 Distributive Law for Whole Numbers
  409.    wt: 1:   4 Commutative Law Groups Counting Form
  410.    wt: 1:   3 Inequalities Algebraically
  411.    wt: 1:   5 Proportionality in Equivalent Fractions
  412.    wt: 1:   4 Rates Ratios and Proporitionality
  413.    wt: 1:   2 Algebraic View
  414.    wt: 1:   1 What is Proportionality
  415.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  416.    wt: 1:   2 Linear Equation Literal Solution
  417.    wt: 1:   1 Changing Calculations
  418.    wt: 1:   3 More and Less Than with Unlike Signs
  419.    wt: 1:   2 More and Less Than for Counts and Measures
  420.    wt: 1:   13 Real Number Subtraction
  421.    wt: 1:   9 Coordinates for Regions in Space
  422.    wt: 1:   8 Coordinates for Maps and Planes
  423.    wt: 1:   3 Fractions
  424.    wt: 1:   1 Formulas Dependence and Function Notation
  425.    wt: 1:   More Exercises
  426.    wt: 1:   Simple Exercises
  427.    wt: 1:   4 GE III Animated Examples
  428.    wt: 1:   2 GE II Comparison
  429.    wt: 1:   1 GE Substitution four examples
  430.    wt: 1:   Skill Development Notes
  431.    wt: 1:   10 One Example
  432.    wt: 1:   9 Three Examples
  433.    wt: 1:   8 One Example
  434.    wt: 1:   7 Two Examples
  435.    wt: 1:   6 Three Examples
  436.    wt: 1:   5 Three Examples
  437.    wt: 1:   4 Two Examples
  438.    wt: 1:   2 Three Examples
  439.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  440.    wt: 1:   9 Sets in Probability and Statistics
  441.    wt: 1:   8 Sets of Numbers
  442.    wt: 1:   7 Cautious or Safe Set Construction
  443.    wt: 1:   6 Power Set Notation
  444.    wt: 1:   5 Product Builder Notation
  445.    wt: 1:   4 Subset Builder Notation
  446.    wt: 1:   2 Venn Diagrams
  447.    wt: 1:   1 Finite Sets
  448.    wt: 1:   3 Adding Words To Arithmetic
  449.    wt: 1:   1 Three Skills For Algebra
  450.    wt: 1:   arithmetic videos Real Player Format
  451.    wt: 1:   1 More and Less Than for Counts and Measures
  452.    wt: 1:   3 Properties of Square Roots with example
  453.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  454.    wt: 1:   13 GCD from given Prime Factorization
  455.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  456.    wt: 1:   2 Least Common Multiple LCM intro via list method
  457.    wt: 1:   3 Counting with Tables and Trees II
  458.    wt: 1:   4 signed coordinates for regions in space
  459.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  460.    wt: 1:   3 Multiplying Units and Numbers
  461.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  462.    wt: 1:   21 Working With Signs
  463.    wt: 1:   21 Reciprocals for Fractions and Wholes
  464.    wt: 1:   13 Fraction Comparison Algebraic View
  465.    wt: 1:   A Associative Law Theorectical Note
  466.    wt: 1:   13 Subtraction with Additive Inverse
  467.    wt: 1:   11 Adding Integers Formulas and Examples
  468.    wt: 1:   10 Integer Multiplication Formulas
  469.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  470.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  471.    wt: 1:   26 Divisibility by 2 3 5 Example
  472.    wt: 1:   23 Remainder Arithmetic Modulo 2
  473.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  474.    wt: 1:   21 Remainder Arithmetic Modulo 3
  475.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  476.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  477.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  478.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  479.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  480.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  481.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  482.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  483.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  484.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  485.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  486.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  487.    wt: 1:   Long Division Backward
  488.    wt: 1:   Long Division forwards and backwards Example 2
  489.    wt: 1:   Long Division forwards and backwards Example 1
  490.    wt: 1:   12 Why Long Division Works Take III
  491.    wt: 1:   9 Why Long Division Works Take II
  492.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  493.    wt: 1:   D Decimal Multiplication Methods Derived
  494.    wt: 1:   C Counting Areas with Powers of Ten
  495.    wt: 1:   B Powers of Ten
  496.    wt: 1:   6 Multiplication Commutes Order Not Important
  497.    wt: 1:   5 Decimal Fraction Multiplication
  498.    wt: 1:   4 Two and Three Digit Multipliers
  499.    wt: 1:   2 One Digit Multipliers
  500.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  501.    wt: 1:   Video Power Notation in Decimal Expansion
  502.    wt: 1:   Subtraction with J Conversions Example
  503.    wt: 1:   Subtraction Another Video Lesson
  504.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  505.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  506.    wt: 1:   5 A Tip for Efficent Subtraction
  507.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  508.    wt: 1:   8 What skills and work habits to require
  509.    wt: 1:   4. How to add with decimals B with conversions
  510.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  511.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  512.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  513.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  514.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  515.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  516.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  517.    wt: 1:   015 School and work day counting tables
  518.    wt: 1:   013 Travel Time Tables
  519.    wt: 1:   5 Conversion Arithmetic
  520.    wt: 1:   3 Units and Lengths of Time
  521.    wt: 1:   Example 4 with x function of y
  522.    wt: 1:   Example 2
  523.    wt: 1:   Example 1
  524.    wt: 1:   A Related Material in Volume 3
  525.    wt: 1:   3 Two Chain Rule Method Exercises
  526.    wt: 1:   4 Second derivative test exercise example
  527.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  528.    wt: 1:   A Chain Rule Real Player video examples
  529.    wt: 1:   29 Chain Rule Optional Reading
  530.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  531.    wt: 1:   26 Chain Rule Recognising outer inner functions
  532.    wt: 1:   25 Chain Rule Animated Examples Continued
  533.    wt: 1:   24 Chain Rule Animated Examples
  534.    wt: 1:   18 Chain Rule Introduction
  535.    wt: 1:   17 Derivatives of quotients of sine and cosine
  536.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  537.    wt: 1:   14 sine and cosine derivatives 2nd step
  538.    wt: 1:   11 Quotient rule
  539.    wt: 1:   9 Reciprocal rule
  540.    wt: 1:   8 Differentiation of polynomials
  541.    wt: 1:   7 Animated Differentiation Examples
  542.    wt: 1:   6 Power rule from product rule
  543.    wt: 1:   4 Sum Rule
  544.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  545.    wt: 1:   11 Limits at infinity Three Examples
  546.    wt: 1:   9 Limits Continuity and Composition
  547.    wt: 1:   8 Four Animated Examples
  548.    wt: 1:   7 Evaluation by immediate or delayed substitution
  549.    wt: 1:   6 Continuity at a point
  550.    wt: 1:   5 Jumps and absence of unlimited error control
  551.    wt: 1:   2 Algebraic codification
  552.    wt: 1:   1 Numerical introduction
  553.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  554.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  555.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  556.    wt: 1:   G.5 Motions With Bounded Velocities
  557.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  558.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  559.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  560.    wt: 1:   F.5b Extreme Value Theorem
  561.    wt: 1:   F.4 Finite Covering Theorem
  562.    wt: 1:   F.2 Closed Range Theorem
  563.    wt: 1:   F.1 What Functions are Continuous
  564.    wt: 1:   E2 Algebraic Properties of Limits
  565.    wt: 1:   E1 Error Control Inequalities
  566.    wt: 1:   D2 Limits of Monotone Sequences
  567.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  568.    wt: 1:   C Triangle Inequalities
  569.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  570.    wt: 1:   A1. Introduction
  571.    wt: 1:   index
  572.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  573.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  574.    wt: 1:   Chapter 22 Complex Numbers
  575.    wt: 1:   Chapter 21 Arrow Addition
  576.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  577.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  578.    wt: 1:   Chapter 18. Slopes Areas Integration
  579.    wt: 1:   Chapter 17. Area Approximation
  580.    wt: 1:   Chapter 16. Velocity Approximation
  581.    wt: 1:   Chapter 15. Slope Approximation
  582.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  583.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  584.    wt: 1:   Chapter 12. Units and Slopes
  585.    wt: 1:   Chapter 11. Graphing Slope versus Position
  586.    wt: 1:   Chapter 10 Slopes and Units
  587.    wt: 1:   Chapter 9 About First Courses in Calculus
  588.    wt: 1:   Chapter 8. Slope Interpretation
  589.    wt: 1:   Chapter 7 Slopes and Velocity
  590.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  591.    wt: 1:   Chapter 5. Slope Sign Tests
  592.    wt: 1:   Chapter 4. More Slope Sign Analysis
  593.    wt: 1:   Chapter 2. Slopes and Ski Trails
  594.    wt: 1:   Chapter 1.Introduction
  595.    wt: 1:   Appendix D. What to do in School and Why
  596.    wt: 1:   Appendix B. How To Learn
  597.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  598.    wt: 1:   Chapter 28 Occurrence Tables
  599.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  600.    wt: 1:   Chapter 25. Mathematical Induction Examples
  601.    wt: 1:   Chapter 25. Mathematical Induction Examples
  602.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  603.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  604.    wt: 1:   Chapter 21. Third Reading Guide
  605.    wt: 1:   Chapter 20. Degrees and Radians
  606.    wt: 1:   Chapter 19. Functions and Sets
  607.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  608.    wt: 1:   Chapter 16. Painless Theorem Proving
  609.    wt: 1:   Chapter 15. Solving Linear Equations
  610.    wt: 1:   Chapter 12. Shorthand Usage Guide
  611.    wt: 1:   Chapter 11. Why Shorthand
  612.    wt: 1:   Chapter 10 Describing and Changing Calculations
  613.    wt: 1:   Postscript What is a Variable
  614.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  615.    wt: 1:   Chapter 6 Change of Language
  616.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  617.    wt: 1:   Chapter 4 Longer Chains of Reason
  618.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  619.    wt: 1:   Postscript A Three Remarks
  620.    wt: 1:   Chapter 9 The Two Ends
  621.    wt: 1:   Chapter 2 For and Against Mathematics
  622.    wt: 1:   Foreword
  623.    wt: 1:   Postscript C Consistency as a Tool for Reason
  624.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  625.    wt: 1:   Foreword

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