Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
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Logic mastery strengthens comprehension and so improves home, work & study abilities .
 Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
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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

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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.

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  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 3:   4 Lessons on Using Derivatives/
  4.    wt: 3:   38 Lessons on Calculating Derivatives/
  5.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  6.    wt: 2:   3 Quadratics Geometrically/
  7.    wt: 2:   13 Vectors/
  8.    wt: 2:   3 Cartesian and Polar Coordinates/
  9.    wt: 2:   3 Prime Factorization Skills/
  10.    wt: 2:   C Decimal Multiplication Methods/
  11.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  12.    wt: 2:   13 Lessons on Limits and Continuity/
  13.    wt: 1:   LAMP Lean Applied Mathematics Program/
  14.    wt: 1:   Volume 1A Regles et modeles/
  15.    wt: 1:   4 Functions/
  16.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  17.    wt: 1:   Step 4 Gaussian Elimination/
  18.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 1:   Step 1 Stick diagram and fractions/
  20.    wt: 1:   3 Solving Linear Equations/
  21.    wt: 1:   1 Working With Sets/
  22.    wt: 1:   8 Arithmetic with Signed Numbers/
  23.    wt: 1:   7 Arithmetic and Fractions with Units/
  24.    wt: 1:   D Decimal Long Division Methods/
  25.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  26.    wt: 1:   A Decimal Counting and Adding Methods/
  27.    wt: 1:   2 Arithmetic with Decimals/
  28.    wt: 1:   Time Date Matters/
  29.    wt: 1:   Skills with take home value/
  30.    wt: 1:   5 Lessons on Integration/
  31.    wt: 1:   70 Calculus Starter Lessons/
  32.    wt: 1:   Volume 2 Three Skills For Algebra/
  33.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  34.    wt: 1:   Volume 1A Pattern Based Reason/
  35.    wt: 1:   Volume 1 Elements of Reason/
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245 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 3:   3 Adding Movements with same direction
  3.    wt: 3:   31 Derivatives of inverse functions
  4.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  5.    wt: 2:   23 Inverse Functions
  6.    wt: 2:   7 Functions with finite domains
  7.    wt: 2:   3 Navigation with Arrows or Vectors
  8.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  9.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  10.    wt: 2:   30 unit circle calculation of six trigonometric functions
  11.    wt: 2:   3 Similarity by Design with coordinates
  12.    wt: 2:   3 More and Less Than with Unlike Signs
  13.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  14.    wt: 2:   13 Naming Identifying Formulas with Words
  15.    wt: 2:   3 Counting with Sets etc
  16.    wt: 2:   3 Properties of Square Roots with example
  17.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  18.    wt: 2:   3 Counting with Tables and Trees II
  19.    wt: 2:   13 Subtraction with Additive Inverse
  20.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  21.    wt: 2:   4. How to add with decimals B with conversions
  22.    wt: 2:   3. How to add with decimals A sans conversions
  23.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  24.    wt: 2:   A Related Material in Volume 3
  25.    wt: 2:   A Related lessons in Volume 3
  26.    wt: 2:   38 Formulas and derivatives for powers and roots
  27.    wt: 2:   33 Chain Rule Real Player video examples
  28.    wt: 2:   15 sine and cosine derivatives 3rd step
  29.    wt: 2:   13 sine and cosine derivatives 1st step
  30.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  31.    wt: 2:   Fall 1983 Calculus Appetizer
  32.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  33.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  34.    wt: 1:   Skills Chapter 5 Calculus
  35.    wt: 1:   Skills Chapter 3 Algebra
  36.    wt: 1:   3 Euclidean Geometry Leanly
  37.    wt: 1:   2 arithmetic with signed numbers
  38.    wt: 1:   1 arithmetic with unsigned numbers
  39.    wt: 1:   the trouble with algebra
  40.    wt: 1:   05 13 OldSiteEntrancePage
  41.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  42.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  43.    wt: 1:   3 Energy Power Heat08
  44.    wt: 1:   C Energy Power03
  45.    wt: 1:   E Wire Resistance Calculation03
  46.    wt: 1:   3 Like resistors in parallel
  47.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  48.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  49.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  50.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  51.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  52.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  53.    wt: 1:   13 Addition and Addition Tables
  54.    wt: 1:   3 Preparing for Science Studies
  55.    wt: 1:   Ages 12 to 14 Skills with take home value
  56.    wt: 1:   Ages 3 plus to 4 plus
  57.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  58.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  59.    wt: 1:   sign monoticity analysis example 3
  60.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  61.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  62.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  63.    wt: 1:   15 Sign analysis of functions
  64.    wt: 1:   13 From one to one to many to one
  65.    wt: 1:   8 Set view of relations and functions
  66.    wt: 1:   3 Formula or function graphing exercise
  67.    wt: 1:   3 quadratics factoring by inspection
  68.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  69.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  70.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  71.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  72.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  73.    wt: 1:   3 Polynomials Multiplication Addition
  74.    wt: 1:   13 cosecant function Definition Graph and Inverse
  75.    wt: 1:   3 Left Inverse of cosine arccos definition
  76.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  77.    wt: 1:   13 Velocity Vectors in Physics
  78.    wt: 1:   6 Vectors with Coordinates
  79.    wt: 1:   3 graphing y=f(x c) plus K
  80.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  81.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  82.    wt: 1:   32 seven rows of pascals triangle
  83.    wt: 1:   31 basic secant cosecant cotangent trig identities
  84.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  85.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  86.    wt: 1:   13 Graph of tangent function many periods
  87.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  88.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  89.    wt: 1:   13 Trig Formulas for dot and cross Products
  90.    wt: 1:   3 Addition Properties
  91.    wt: 1:   3 Trigonometric Ratios sine and cosine
  92.    wt: 1:   1 Angle Measurement with Degrees
  93.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  94.    wt: 1:   4 Similarity Definition with Coordinate
  95.    wt: 1:   3 Slope product for perpendicular lines
  96.    wt: 1:   13 Pythagorean spatial distance formulas
  97.    wt: 1:   3 Rectangular Coordinates Review
  98.    wt: 1:   2 Cartesian Coordinates with signs
  99.    wt: 1:   PS E Multiplication with Polar Coordinates
  100.    wt: 1:   PS D Addition with Cartesian Coordinates
  101.    wt: 1:   13 Angle Side Angle Failure
  102.    wt: 1:   3 Isometry of Triangles Congruence
  103.    wt: 1:   A Measurement with Ruler Proper Use
  104.    wt: 1:   6 Figuring with Maps Not to Scale
  105.    wt: 1:   3 Lengths and Areas on Maps and Plans
  106.    wt: 1:   23 Distributive Law Two Derivations
  107.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  108.    wt: 1:   13 Arrows and Vectors in a Plane
  109.    wt: 1:   9 Division with Digits after Decimal Point
  110.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  111.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  112.    wt: 1:   3 Location of Point in Decimal Multiplication
  113.    wt: 1:   1 Fractions with Finite Decimal Expansions
  114.    wt: 1:   3 Multiplicative Counting Skills Principles
  115.    wt: 1:   3 Inequalities Algebraically
  116.    wt: 1:   3 Proportionality Examples
  117.    wt: 1:   3 Linear Equation Literal Solution More
  118.    wt: 1:   3 Product Axioms Two Forms
  119.    wt: 1:   13 Real Number Subtraction
  120.    wt: 1:   3 Fractions
  121.    wt: 1:   3 Geometric Formulas and Function Notation
  122.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  123.    wt: 1:   3 GE III Equation Addition and Multiplication
  124.    wt: 1:   3 Solving triangular system example
  125.    wt: 1:   2 Essentially one exercises three with solution
  126.    wt: 1:   3 Four Examples
  127.    wt: 1:   3 Two Examples
  128.    wt: 1:   11 Volume of Sphere
  129.    wt: 1:   10 Volume of Pyramid
  130.    wt: 1:   9 Volume of Cone
  131.    wt: 1:   5 Box Volume Formula Example
  132.    wt: 1:   3 Triangle Area Formula Example
  133.    wt: 1:   3 Adding Words To Arithmetic
  134.    wt: 1:   3 Comparison of Negative Numbers
  135.    wt: 1:   2 More and Less Than with Unlike Signs
  136.    wt: 1:   5 Square Roots with primes more still
  137.    wt: 1:   4 Square Roots with primes more
  138.    wt: 1:   2 Square Roots with Prime
  139.    wt: 1:   13 GCD from given Prime Factorization
  140.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  141.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  142.    wt: 1:   4 Counting with Trees Product Rule Take I
  143.    wt: 1:   2 Counting with Tables and Trees I
  144.    wt: 1:   3 signed coordinates for maps and planes
  145.    wt: 1:   6 Simplification of Fractions with Units
  146.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  147.    wt: 1:   4 Fractions with Units
  148.    wt: 1:   3 Multiplying Units and Numbers
  149.    wt: 1:   1 Addition and Subtraction with Units
  150.    wt: 1:   21 Working With Signs
  151.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  152.    wt: 1:   14 Adding and Subtracting with Like Denominators
  153.    wt: 1:   13 Fraction Comparison Algebraic View
  154.    wt: 1:   3 Unit fraction of a fraction
  155.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  156.    wt: 1:   26 Divisibility by 2 3 5 Example
  157.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  158.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  159.    wt: 1:   23 Remainder Arithmetic Modulo 2
  160.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  161.    wt: 1:   21 Remainder Arithmetic Modulo 3
  162.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  163.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  164.    wt: 1:   13 video Factors of 24 using prime
  165.    wt: 1:   10 video Prime Factorization upto 23 squared
  166.    wt: 1:   3 video Primes and Composites from 9 times table
  167.    wt: 1:   Division with Counts and Length
  168.    wt: 1:   Long Division forwards and backwards Example 3
  169.    wt: 1:   4 Division with 2 Digit Divsors
  170.    wt: 1:   3 Division Single Digit Divisor Example
  171.    wt: 1:   2 Division with Single Digit Divisors
  172.    wt: 1:   C Counting Areas with Powers of Ten
  173.    wt: 1:   3 More One Digit Multipliers
  174.    wt: 1:   1 Why 3 times 5 gives 15
  175.    wt: 1:   Subtraction with J Conversions Example
  176.    wt: 1:   8 Subtraction with Units of Measure
  177.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  178.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  179.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  180.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  181.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  182.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  183.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  184.    wt: 1:   014 Counting Days with Calendars
  185.    wt: 1:   013 Travel Time Tables
  186.    wt: 1:   3 Units and Lengths of Time
  187.    wt: 1:   Example 2 volume of a cone
  188.    wt: 1:   Example 1 volume of a pyramid
  189.    wt: 1:   Volume of Solid by Cross Sections Lesson
  190.    wt: 1:   Example 4 with x function of y
  191.    wt: 1:   Example 3
  192.    wt: 1:   3 Two Chain Rule Method Exercises
  193.    wt: 1:   3 Second derivative test
  194.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  195.    wt: 1:   36 Cube root derivative animated
  196.    wt: 1:   34 Derivative of exponential function
  197.    wt: 1:   30Chain Rule A Proof
  198.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  199.    wt: 1:   26 Chain Rule Recognising outer inner functions
  200.    wt: 1:   23 Chain Rule in general
  201.    wt: 1:   19 Chain Rule for linear functions
  202.    wt: 1:   17 Derivatives of quotients of sine and cosine
  203.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  204.    wt: 1:   14 sine and cosine derivatives 2nd step
  205.    wt: 1:   3 Motivation for Limit Definition Take 2
  206.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  207.    wt: 1:   10 Three one sided limits with infinite values
  208.    wt: 1:   3 Decimal insights for limits continuity convergence
  209.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  210.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  211.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  212.    wt: 1:   G.5 Motions With Bounded Velocities
  213.    wt: 1:   G.3 Constant Difference Theorem Proof
  214.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  215.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  216.    wt: 1:   F.3 Intermediate Value Theorem
  217.    wt: 1:   F.1 What Functions are Continuous
  218.    wt: 1:   B3 Bolzano Weierstrass Theorem
  219.    wt: 1:   Chapter 23 Links To Trigonometry
  220.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  221.    wt: 1:   Chapter 13. Acceleration
  222.    wt: 1:   Chapter 9 About First Courses in Calculus
  223.    wt: 1:   Chapter 3. Slope Sign Analysis
  224.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  225.    wt: 1:   Chapter 31 Direct and Indirect Reason
  226.    wt: 1:   Chapter 30 Truth Tables
  227.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  228.    wt: 1:   Chapter 23. Notation For Sums
  229.    wt: 1:   Chapter 19. Functions and Sets
  230.    wt: 1:   Chapter 13. Second Reading Guide
  231.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  232.    wt: 1:   Chapter 3 Chains of Reason
  233.    wt: 1:   Chapter 3 Algebra Difficulties
  234.    wt: 1:   Chapter 23 Truth Tables
  235.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  236.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  237.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  238.    wt: 1:   L Skills with take home value
  239.    wt: 1:   D. Check work a must with a caution
  240.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  241.    wt: 1:   More Algebra and Slope based Calculus Preview
  242.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  243.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  244.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  245.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

666 matches:

  1.    wt: 8:   B3 Bolzano Weierstrass Theorem
  2.    wt: 7:   31 Derivatives of inverse functions
  3.    wt: 7:   .H2 Lipshitz Conditions Integration Calculus Reform
  4.    wt: 7:   .H1 First Fundamental Theorem of Calculus
  5.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  6.    wt: 7:   G.5 Motions With Bounded Velocities
  7.    wt: 7:   G.3 Constant Difference Theorem Proof
  8.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  9.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  10.    wt: 7:   F.5a Equicontinuity Theorems
  11.    wt: 7:   F.3 Intermediate Value Theorem
  12.    wt: 7:   F.1 What Functions are Continuous
  13.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  14.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  15.    wt: 6:   F.5b Extreme Value Theorem
  16.    wt: 6:   F.4 Finite Covering Theorem
  17.    wt: 6:   F.2 Closed Range Theorem
  18.    wt: 6:   E2 Algebraic Properties of Limits
  19.    wt: 6:   E1 Error Control Inequalities
  20.    wt: 6:   D2 Limits of Monotone Sequences
  21.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  22.    wt: 6:   C Triangle Inequalities
  23.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  24.    wt: 6:   PostScript For and Against Decimal Perspectives
  25.    wt: 6:   A1. Introduction
  26.    wt: 6:   index
  27.    wt: 5:   3 Navigation with Arrows or Vectors
  28.    wt: 5:   3 Solving triangular system example
  29.    wt: 5:   A Related lessons in Volume 3
  30.    wt: 5:   38 Formulas and derivatives for powers and roots
  31.    wt: 5:   33 Chain Rule Real Player video examples
  32.    wt: 5:   15 sine and cosine derivatives 3rd step
  33.    wt: 5:   13 sine and cosine derivatives 1st step
  34.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  35.    wt: 5:   Chapter 23 Links To Trigonometry
  36.    wt: 5:   Chapter 13. Acceleration
  37.    wt: 5:   Chapter 3. Slope Sign Analysis
  38.    wt: 5:   Fall 1983 Calculus Appetizer
  39.    wt: 4:   23 Inverse Functions
  40.    wt: 4:   13 Velocity Vectors in Physics
  41.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  42.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  43.    wt: 4:   13 Pythagorean spatial distance formulas
  44.    wt: 4:   3 Rectangular Coordinates Review
  45.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  46.    wt: 4:   2 Essentially one exercises three with solution
  47.    wt: 4:   3 Adding Movements with same direction
  48.    wt: 4:   13 video Factors of 24 using prime
  49.    wt: 4:   3 video Primes and Composites from 9 times table
  50.    wt: 4:   3 More One Digit Multipliers
  51.    wt: 4:   3. How to add with decimals A sans conversions
  52.    wt: 4:   Example 4 with x function of y
  53.    wt: 4:   Example 3
  54.    wt: 4:   3 Second derivative test
  55.    wt: 4:   2 Second derivative test prequel
  56.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  57.    wt: 4:   36 Cube root derivative animated
  58.    wt: 4:   34 Derivative of exponential function
  59.    wt: 4:   30Chain Rule A Proof
  60.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  61.    wt: 4:   26 Chain Rule Recognising outer inner functions
  62.    wt: 4:   23 Chain Rule in general
  63.    wt: 4:   22 Chain Rule for polynomials
  64.    wt: 4:   19 Chain Rule for linear functions
  65.    wt: 4:   17 Derivatives of quotients of sine and cosine
  66.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  67.    wt: 4:   14 sine and cosine derivatives 2nd step
  68.    wt: 4:   12 Quotient rule examples
  69.    wt: 4:   5 Product Rule
  70.    wt: 4:   3 Motivation for Limit Definition Take 2
  71.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  72.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  73.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  74.    wt: 4:   Chapter 9 About First Courses in Calculus
  75.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  76.    wt: 3:   Skills Chapter 3 Algebra
  77.    wt: 3:   13 From one to one to many to one
  78.    wt: 3:   7 Functions with finite domains
  79.    wt: 3:   3 Formula or function graphing exercise
  80.    wt: 3:   3 quadratics factoring by inspection
  81.    wt: 3:   6 Vectors with Coordinates
  82.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  83.    wt: 3:   12 Straight Lines Graphing mx plus b
  84.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  85.    wt: 3:   3 Similarity by Design with coordinates
  86.    wt: 3:   2 Cartesian Coordinates with signs
  87.    wt: 3:   3 GE III Equation Addition and Multiplication
  88.    wt: 3:   4 Solving a triangular system exercise
  89.    wt: 3:   1 Essentially One Unknown
  90.    wt: 3:   3 Four Examples
  91.    wt: 3:   3 Two Examples
  92.    wt: 3:   3 Counting with Sets etc
  93.    wt: 3:   10 video Prime Factorization upto 23 squared
  94.    wt: 3:   3 Division Single Digit Divisor Example
  95.    wt: 3:   C Counting Areas with Powers of Ten
  96.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  97.    wt: 3:   1 Why 3 times 5 gives 15
  98.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  99.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  100.    wt: 3:   4. How to add with decimals B with conversions
  101.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  102.    wt: 3:   Example 2 volume of a cone
  103.    wt: 3:   Example 1 volume of a pyramid
  104.    wt: 3:   Volume of Solid by Cross Sections Lesson
  105.    wt: 3:   Example 2
  106.    wt: 3:   Example 1
  107.    wt: 3:   A Related Material in Volume 3
  108.    wt: 3:   4 Second derivative test exercise example
  109.    wt: 3:   A Chain Rule Real Player video examples
  110.    wt: 3:   29 Chain Rule Optional Reading
  111.    wt: 3:   28 Chain Rule Preparation for a Proof
  112.    wt: 3:   25 Chain Rule Animated Examples Continued
  113.    wt: 3:   24 Chain Rule Animated Examples
  114.    wt: 3:   21 Chain Rule for powers
  115.    wt: 3:   20 Chain Rule for Pulley Systems
  116.    wt: 3:   18 Chain Rule Introduction
  117.    wt: 3:   11 Quotient rule
  118.    wt: 3:   10 Power rule for negative integers
  119.    wt: 3:   9 Reciprocal rule
  120.    wt: 3:   8 Differentiation of polynomials
  121.    wt: 3:   7 Animated Differentiation Examples
  122.    wt: 3:   6 Power rule from product rule
  123.    wt: 3:   4 Sum Rule
  124.    wt: 3:   2 Motivation for Limit Definition Take 1
  125.    wt: 3:   10 Three one sided limits with infinite values
  126.    wt: 3:   4 Numerical properties
  127.    wt: 3:   3 Decimal insights for limits continuity convergence
  128.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  129.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  130.    wt: 3:   Chapter 22 Complex Numbers
  131.    wt: 3:   Chapter 21 Arrow Addition
  132.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  133.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  134.    wt: 3:   Chapter 18. Slopes Areas Integration
  135.    wt: 3:   Chapter 17. Area Approximation
  136.    wt: 3:   Chapter 16. Velocity Approximation
  137.    wt: 3:   Chapter 15. Slope Approximation
  138.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  139.    wt: 3:   Chapter 12. Units and Slopes
  140.    wt: 3:   Chapter 11. Graphing Slope versus Position
  141.    wt: 3:   Chapter 10 Slopes and Units
  142.    wt: 3:   Chapter 8. Slope Interpretation
  143.    wt: 3:   Chapter 7 Slopes and Velocity
  144.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  145.    wt: 3:   Chapter 5. Slope Sign Tests
  146.    wt: 3:   Chapter 4. More Slope Sign Analysis
  147.    wt: 3:   Chapter 2. Slopes and Ski Trails
  148.    wt: 3:   Chapter 1.Introduction
  149.    wt: 3:   Foreword
  150.    wt: 3:   Chapter 31 Direct and Indirect Reason
  151.    wt: 3:   Chapter 30 Truth Tables
  152.    wt: 3:   Chapter 23. Notation For Sums
  153.    wt: 3:   Chapter 13. Second Reading Guide
  154.    wt: 3:   Chapter 3 Chains of Reason
  155.    wt: 3:   Chapter 3 Algebra Difficulties
  156.    wt: 3:   Chapter 23 Truth Tables
  157.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  158.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  159.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  160.    wt: 3:   More Algebra and Slope based Calculus Preview
  161.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  162.    wt: 3:   Systematic Algebra Skill Development Missing Links
  163.    wt: 2:   Skills Chapter 5 Calculus
  164.    wt: 2:   Ramblings Extrinsic numbers theory
  165.    wt: 2:   Ramblings Introduction Algebra Essay
  166.    wt: 2:   3 Euclidean Geometry Leanly
  167.    wt: 2:   Education Reform Inconsistencies
  168.    wt: 2:   the trouble with algebra
  169.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  170.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  171.    wt: 2:   C Energy Power03
  172.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  173.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  174.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  175.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  176.    wt: 2:   13 Addition and Addition Tables
  177.    wt: 2:   3 Preparing for Science Studies
  178.    wt: 2:   Ages 3 plus to 4 plus
  179.    wt: 2:   sign monoticity analysis example 3
  180.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  181.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  182.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  183.    wt: 2:   15 Sign analysis of functions
  184.    wt: 2:   8 Set view of relations and functions
  185.    wt: 2:   A Quadratics Summary
  186.    wt: 2:   10 quadratic exercises
  187.    wt: 2:   9 quadratics physical and further context
  188.    wt: 2:   8 quadratics backward use of various formulas
  189.    wt: 2:   7 quadratic formulla derivation
  190.    wt: 2:   6 quadratics numerical approach
  191.    wt: 2:   5 quadratics completing the square
  192.    wt: 2:   4 quadratics difference of two squares
  193.    wt: 2:   2 quadratics graphing in general
  194.    wt: 2:   1 quadratics graphing exercises
  195.    wt: 2:   Quadratics in 10 steps
  196.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  197.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  198.    wt: 2:   A Global Time and Navigation
  199.    wt: 2:   15 Dot and Cross Product
  200.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  201.    wt: 2:   12 From Applied To Pure Mathematics
  202.    wt: 2:   11 Component Method
  203.    wt: 2:   10 Parallelogram Addition Method
  204.    wt: 2:   9 Head to Tail Coordinate View
  205.    wt: 2:   8 Parallel Vectors
  206.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  207.    wt: 2:   5 Head To Tail Arrow Addition
  208.    wt: 2:   4 Resultant of a Sum of Movements
  209.    wt: 2:   2 Signed Coordinates
  210.    wt: 2:   1 Unsigned Coordinates
  211.    wt: 2:   Vector and Complex Number Applet
  212.    wt: 2:   14 Straight Lines Equations General Case
  213.    wt: 2:   11 Straight Lines Graphing y=mx
  214.    wt: 2:   10 Straight Lines through Origin Equations More
  215.    wt: 2:   9 Straight Lines through Origin Equations
  216.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  217.    wt: 2:   32 seven rows of pascals triangle
  218.    wt: 2:   31 basic secant cosecant cotangent trig identities
  219.    wt: 2:   30 unit circle calculation of six trigonometric functions
  220.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  221.    wt: 2:   13 Trig Formulas for dot and cross Products
  222.    wt: 2:   3 Addition Properties
  223.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  224.    wt: 2:   3 Slope product for perpendicular lines
  225.    wt: 2:   12 Spatial Coordinates
  226.    wt: 2:   11 Triangle Inequality
  227.    wt: 2:   10 Pythagorean plane distance formula
  228.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  229.    wt: 2:   8 Distance Between Points on a Line
  230.    wt: 2:   7 Complex Numbers Appetizer
  231.    wt: 2:   6 Polar Multiplication and Rotation
  232.    wt: 2:   5 Cartesian Addition and Translation
  233.    wt: 2:   4 Polar Coordinates to and from
  234.    wt: 2:   1 Cartesian Coordinates sans signs
  235.    wt: 2:   13 Angle Side Angle Failure
  236.    wt: 2:   3 Isometry of Triangles Congruence
  237.    wt: 2:   23 Distributive Law Two Derivations
  238.    wt: 2:   3 Multiplicative Counting Skills Principles
  239.    wt: 2:   3 Proportionality Examples
  240.    wt: 2:   3 More and Less Than with Unlike Signs
  241.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  242.    wt: 2:   13 Naming Identifying Formulas with Words
  243.    wt: 2:   3 Comparison of Negative Numbers
  244.    wt: 2:   3 Properties of Square Roots with example
  245.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  246.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  247.    wt: 2:   3 Counting with Tables and Trees II
  248.    wt: 2:   3 signed coordinates for maps and planes
  249.    wt: 2:   6 Simplification of Fractions with Units
  250.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  251.    wt: 2:   4 Fractions with Units
  252.    wt: 2:   3 Multiplying Units and Numbers
  253.    wt: 2:   1 Addition and Subtraction with Units
  254.    wt: 2:   3 Unit fraction of a fraction
  255.    wt: 2:   13 Subtraction with Additive Inverse
  256.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  257.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  258.    wt: 2:   20 Uniqueness of Prime Factorization
  259.    wt: 2:   19 video Prime Factorization Unique
  260.    wt: 2:   18 video Count Factors given Prime Factorization
  261.    wt: 2:   17 Identify and Count Factors using Primes
  262.    wt: 2:   16 video Factors of 980 using prime
  263.    wt: 2:   15 video Factors of 20 using Prime Factorization
  264.    wt: 2:   14 video Factors of 24 Take II
  265.    wt: 2:   12 LCD GCD and LCM using Primes
  266.    wt: 2:   11 Efficient Square Rule Use
  267.    wt: 2:   9 video Prime Factorization upto 19 squared
  268.    wt: 2:   8 video Prime Factorization upto 19
  269.    wt: 2:   7 Calculator Usage Notes and Cautions
  270.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  271.    wt: 2:   5 Prime Factorization and a Square Rule
  272.    wt: 2:   4 video Prime Factorization Introduction
  273.    wt: 2:   2 Prime and Composites less than 16
  274.    wt: 2:   1 video how Products are bigger than factor
  275.    wt: 2:   Long Division Backward
  276.    wt: 2:   Division with Counts and Length
  277.    wt: 2:   Long Division forwards and backwards Example 3
  278.    wt: 2:   4 Division with 2 Digit Divsors
  279.    wt: 2:   2 Division with Single Digit Divisors
  280.    wt: 2:   D Decimal Multiplication Methods Derived
  281.    wt: 2:   B Powers of Ten
  282.    wt: 2:   A Elementary Basis for Multiplication Methods
  283.    wt: 2:   6 Multiplication Commutes Order Not Important
  284.    wt: 2:   5 Decimal Fraction Multiplication
  285.    wt: 2:   4 Two and Three Digit Multipliers
  286.    wt: 2:   2 One Digit Multipliers
  287.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  288.    wt: 2:   Video Power Notation in Decimal Expansion
  289.    wt: 2:   Subtraction with J Conversions Example
  290.    wt: 2:   Subtraction Another Video Lesson
  291.    wt: 2:   8 Subtraction with Units of Measure
  292.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  293.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  294.    wt: 2:   014 Counting Days with Calendars
  295.    wt: 2:   013 Travel Time Tables
  296.    wt: 2:   3 Units and Lengths of Time
  297.    wt: 2:   Example 1. Area Between x and x squared
  298.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  299.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  300.    wt: 2:   Area Between Curves Lesson Take 2
  301.    wt: 2:   Area Between Curves Lesson Take 1
  302.    wt: 2:   Summary
  303.    wt: 2:   3 Two Chain Rule Method Exercises
  304.    wt: 2:   11 Limits at infinity Three Examples
  305.    wt: 2:   9 Limits Continuity and Composition
  306.    wt: 2:   8 Four Animated Examples
  307.    wt: 2:   7 Evaluation by immediate or delayed substitution
  308.    wt: 2:   6 Continuity at a point
  309.    wt: 2:   5 Jumps and absence of unlimited error control
  310.    wt: 2:   2 Algebraic codification
  311.    wt: 2:   1 Numerical introduction
  312.    wt: 2:   Appendix C. How to Read
  313.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  314.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  315.    wt: 2:   Chapter 19. Functions and Sets
  316.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  317.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  318.    wt: 2:   Postscript A Three Remarks
  319.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  320.    wt: 2:   Implementation Notes
  321.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  322.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  323.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  324.    wt: 1:   Appendix 2 primary school Arithmetic 01
  325.    wt: 1:   Appendix 1 primary and preschool mathematic
  326.    wt: 1:   K LAMP Musings Science Education
  327.    wt: 1:   J LAMP Introduction Extrinsic Origins
  328.    wt: 1:   I LAMP Introduction Study Habits
  329.    wt: 1:   H LAMP Introduction Instructional Concepts
  330.    wt: 1:   G LAMP Introduction Problem Solving Skills
  331.    wt: 1:   F LAMP Introduction Prerequisites
  332.    wt: 1:   E LAMP Introduction Modern Mathematics
  333.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  334.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  335.    wt: 1:   A Introduction Objectives
  336.    wt: 1:   Skills Chapter 4 Logic
  337.    wt: 1:   Skills Chapter 2 Geometry
  338.    wt: 1:   Skills Chapter 1 Arithmetic
  339.    wt: 1:   Skills Chapter 0 Introduction
  340.    wt: 1:   2 arithmetic with signed numbers
  341.    wt: 1:   1 arithmetic with unsigned numbers
  342.    wt: 1:   permissions for teachers
  343.    wt: 1:   Math Ed if it must be short make it lean effective
  344.    wt: 1:   modern education
  345.    wt: 1:   learning takes time
  346.    wt: 1:   grouping students according to ability
  347.    wt: 1:   what should be learnt and When
  348.    wt: 1:   mathematics in context
  349.    wt: 1:   Postscript 2007 01 10
  350.    wt: 1:   five decades make a difference
  351.    wt: 1:   teaching tutoring algebraic reason
  352.    wt: 1:   05 13 OldSiteEntrancePage
  353.    wt: 1:   Theory of Knowledge
  354.    wt: 1:   Different Kinds of Reasoning in maths
  355.    wt: 1:   chapitre 12 00 les iles et division
  356.    wt: 1:   chapitre 07 01 principle D induction mathematique
  357.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  358.    wt: 1:   chapitre 06 00 Chaines de la raison
  359.    wt: 1:   chapitre 05 00 Deception
  360.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  361.    wt: 1:   chapitre 04 09 Regles accidentelles
  362.    wt: 1:   chapitre 04 08 Limitations et benefices
  363.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  364.    wt: 1:   chapitre 04 06 engagements
  365.    wt: 1:   chapitre 04 05 Implication versus suggestion
  366.    wt: 1:   chapitre 04 04 Parlons de la logique
  367.    wt: 1:   chapitre 04 02 Deuxieme enigme
  368.    wt: 1:   chapitre 04 01 Premiere enigme
  369.    wt: 1:   chapitre 04 00 Les regles d implication
  370.    wt: 1:   chapitre 02 00 La Communication des idees
  371.    wt: 1:   chapitre 01 00 Introduction
  372.    wt: 1:   liens
  373.    wt: 1:   3 Energy Power Heat08
  374.    wt: 1:   E Wire Resistance Calculation03
  375.    wt: 1:   A Wire Resistance Qualitative01
  376.    wt: 1:   3 Like resistors in parallel
  377.    wt: 1:   B Electromotive force conventional current01
  378.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  379.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  380.    wt: 1:   Ages 12 to 14 Skills with take home value
  381.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  382.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  383.    wt: 1:   26 Function definitions done and coming
  384.    wt: 1:   22 Square Root function graphically
  385.    wt: 1:   20 Interchanging coordinates a reflection
  386.    wt: 1:   19 Horizontal line rule and method
  387.    wt: 1:   18 Vertical Line Rule and Method
  388.    wt: 1:   17 Function maxima minima and their location
  389.    wt: 1:   16 Increasing or decreasing on intervals
  390.    wt: 1:   14 Surjections Injections Bijections
  391.    wt: 1:   12 Function Domain Recognition Exercises
  392.    wt: 1:   11 Function Domain Range Source and Targets
  393.    wt: 1:   10 Interval Notation
  394.    wt: 1:   9 Set theory term relation possible origins
  395.    wt: 1:   6 Set Existence Formation and Notation
  396.    wt: 1:   5 Function notation for geometric transformations
  397.    wt: 1:   4 Function notation in and beyond mathematics
  398.    wt: 1:   2 Algebraic use of function notation
  399.    wt: 1:   1 Geometric Introduction of Function Notation
  400.    wt: 1:   Introduction Reading Guide
  401.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  402.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  403.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  404.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  405.    wt: 1:   3 Polynomials Multiplication Addition
  406.    wt: 1:   13 cosecant function Definition Graph and Inverse
  407.    wt: 1:   3 Left Inverse of cosine arccos definition
  408.    wt: 1:   3 graphing y=f(x c) plus K
  409.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  410.    wt: 1:   Straight Lines Intersection of
  411.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  412.    wt: 1:   C Straight Lines Slope from Coordinates
  413.    wt: 1:   B Straight Line Slope Scaling Properties More
  414.    wt: 1:   A Straight Line Slope Scaling Properties
  415.    wt: 1:   8 Straight Lines Equation for vertical
  416.    wt: 1:   7 Tangent Function is odd on this domain
  417.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  418.    wt: 1:   5 Tangent Function Graph
  419.    wt: 1:   4 Tangent Function Properties
  420.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  421.    wt: 1:   1 Straight Lines Slope Concept
  422.    wt: 1:   24 tangent Angle Difference Formula
  423.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  424.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  425.    wt: 1:   15 sine cosine Complementary Angle Relations
  426.    wt: 1:   13 Graph of tangent function many periods
  427.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  428.    wt: 1:   3 Trigonometric Ratios sine and cosine
  429.    wt: 1:   1 Angle Measurement with Degrees
  430.    wt: 1:   6 Geometric Diagrams in Class
  431.    wt: 1:   4 Similarity Definition with Coordinate
  432.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  433.    wt: 1:   PS E Multiplication with Polar Coordinates
  434.    wt: 1:   PS D Addition with Cartesian Coordinates
  435.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  436.    wt: 1:   A Measurement with Ruler Proper Use
  437.    wt: 1:   6 Figuring with Maps Not to Scale
  438.    wt: 1:   3 Lengths and Areas on Maps and Plans
  439.    wt: 1:   26 More Less Greater Than Comparison
  440.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  441.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  442.    wt: 1:   22 Multiplication of Signed Numbers
  443.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  444.    wt: 1:   13 Arrows and Vectors in a Plane
  445.    wt: 1:   9 Division with Digits after Decimal Point
  446.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  447.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  448.    wt: 1:   3 Location of Point in Decimal Multiplication
  449.    wt: 1:   1 Fractions with Finite Decimal Expansions
  450.    wt: 1:   3 Inequalities Algebraically
  451.    wt: 1:   3 Linear Equation Literal Solution More
  452.    wt: 1:   3 Product Axioms Two Forms
  453.    wt: 1:   13 Real Number Subtraction
  454.    wt: 1:   3 Fractions
  455.    wt: 1:   3 Geometric Formulas and Function Notation
  456.    wt: 1:   More Exercises
  457.    wt: 1:   Simple Exercises
  458.    wt: 1:   4 GE III Animated Examples
  459.    wt: 1:   2 GE II Comparison
  460.    wt: 1:   1 GE Substitution four examples
  461.    wt: 1:   6 Algebraic Solution Example
  462.    wt: 1:   5 Algebraic Solutions Introduction
  463.    wt: 1:   4 Four Examples Fractional Coefficients
  464.    wt: 1:   2 Three Examples
  465.    wt: 1:   1 Proper Equal Sign Usage
  466.    wt: 1:   Skill Development Notes
  467.    wt: 1:   10 One Example
  468.    wt: 1:   9 Three Examples
  469.    wt: 1:   8 One Example
  470.    wt: 1:   7 Two Examples
  471.    wt: 1:   6 Three Examples
  472.    wt: 1:   5 Three Examples
  473.    wt: 1:   4 Two Examples
  474.    wt: 1:   2 Three Examples
  475.    wt: 1:   Using Letters for Physical Quantities
  476.    wt: 1:   Formula Usage Show Work Format
  477.    wt: 1:   11 Volume of Sphere
  478.    wt: 1:   10 Volume of Pyramid
  479.    wt: 1:   9 Volume of Cone
  480.    wt: 1:   5 Box Volume Formula Example
  481.    wt: 1:   3 Triangle Area Formula Example
  482.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  483.    wt: 1:   9 Sets in Probability and Statistics
  484.    wt: 1:   8 Sets of Numbers
  485.    wt: 1:   7 Cautious or Safe Set Construction
  486.    wt: 1:   6 Power Set Notation
  487.    wt: 1:   5 Product Builder Notation
  488.    wt: 1:   4 Subset Builder Notation
  489.    wt: 1:   2 Venn Diagrams
  490.    wt: 1:   1 Finite Sets
  491.    wt: 1:   3 Adding Words To Arithmetic
  492.    wt: 1:   2 More and Less Than with Unlike Signs
  493.    wt: 1:   5 Square Roots with primes more still
  494.    wt: 1:   4 Square Roots with primes more
  495.    wt: 1:   2 Square Roots with Prime
  496.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  497.    wt: 1:   13 GCD from given Prime Factorization
  498.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  499.    wt: 1:   2 Least Common Multiple LCM intro via list method
  500.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  501.    wt: 1:   4 Counting with Trees Product Rule Take I
  502.    wt: 1:   2 Counting with Tables and Trees I
  503.    wt: 1:   11 What are real lengths and numbers
  504.    wt: 1:   10 dividing signed numbers
  505.    wt: 1:   9 subtracting signed numbers
  506.    wt: 1:   8 multiplying signed numbers
  507.    wt: 1:   7 negative and additive inverse
  508.    wt: 1:   6 adding signed numbers
  509.    wt: 1:   5 lengths and signs of numbers
  510.    wt: 1:   4 signed coordinates for regions in space
  511.    wt: 1:   2 signed and unsigned numbers as coordinates
  512.    wt: 1:   7 Converting or Changing Units
  513.    wt: 1:   2 Equality and Units
  514.    wt: 1:   21 Working With Signs
  515.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  516.    wt: 1:   14 Adding and Subtracting with Like Denominators
  517.    wt: 1:   13 Fraction Comparison Algebraic View
  518.    wt: 1:   A Associative Law Theorectical Note
  519.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  520.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  521.    wt: 1:   26 Divisibility by 2 3 5 Example
  522.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  523.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  524.    wt: 1:   23 Remainder Arithmetic Modulo 2
  525.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  526.    wt: 1:   21 Remainder Arithmetic Modulo 3
  527.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  528.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  529.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  530.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  531.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  532.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  533.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  534.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  535.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  536.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  537.    wt: 1:   Long Division Backwards more
  538.    wt: 1:   Long Division forwards and backwards Example 2
  539.    wt: 1:   Long Division forwards and backwards Example 1
  540.    wt: 1:   12 Why Long Division Works Take III
  541.    wt: 1:   11 Another Single Digit Divisor Example
  542.    wt: 1:   10 Division by Five Long and Short Ways
  543.    wt: 1:   9 Why Long Division Works Take II
  544.    wt: 1:   8 Correcting the Mistake
  545.    wt: 1:   7 Long Divison Mistake Catching
  546.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  547.    wt: 1:   5 Long Division Include Zeroes or not
  548.    wt: 1:   1 Divsion Physical Examples
  549.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  550.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  551.    wt: 1:   9 22 Minute Subtraction Review Video
  552.    wt: 1:   5 A Tip for Efficent Subtraction
  553.    wt: 1:   2 Subtraction Easy Case Examples
  554.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  555.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  556.    wt: 1:   8 What skills and work habits to require
  557.    wt: 1:   7 Adding decimal fractions using decimal point
  558.    wt: 1:   6. Counting and adding units and mixed units
  559.    wt: 1:   5. How to add decimals C. Examples
  560.    wt: 1:   2 Decimal Counting Practices
  561.    wt: 1:   1. Explaining Addition Table
  562.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  563.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  564.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  565.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  566.    wt: 1:   Expression Evaluation how to show work
  567.    wt: 1:   016 Numbering Occidental Calendar Days
  568.    wt: 1:   015 School and work day counting tables
  569.    wt: 1:   012 Division of Time Intervals by Time Intervals
  570.    wt: 1:   011 Division of Time Intervals By Numbers
  571.    wt: 1:   010 Repeated Addition of Time Intervals
  572.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  573.    wt: 1:   8 Addition of Time Intervals via subtotaling
  574.    wt: 1:   7 Addition of Time Intervals
  575.    wt: 1:   6 How long is a million seconds
  576.    wt: 1:   5 Conversion Arithmetic
  577.    wt: 1:   4 Mixing and Changing Units of Time
  578.    wt: 1:   2 Time and Date Matters in School
  579.    wt: 1:   1 Intro of Kids To Time Date Skills
  580.    wt: 1:   5 Area Under Curve Exercise
  581.    wt: 1:   4 Definite Integrals Evaluation Exercises
  582.    wt: 1:   2 Indefinite Integrals Exercises
  583.    wt: 1:   1 Chain Rule in Reverse Integration Method
  584.    wt: 1:   Postscript More on Better Performance
  585.    wt: 1:   Postscript For Better Performance
  586.    wt: 1:   Appendix E. How To Study Mathematics and Why
  587.    wt: 1:   Appendix D. What to do in School and Why
  588.    wt: 1:   Appendix B. How To Learn
  589.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  590.    wt: 1:   Chapter 28 Occurrence Tables
  591.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  592.    wt: 1:   Chapter 25. Mathematical Induction Examples
  593.    wt: 1:   Chapter 25. Mathematical Induction Examples
  594.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  595.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  596.    wt: 1:   Chapter 21. Third Reading Guide
  597.    wt: 1:   Chapter 20. Degrees and Radians
  598.    wt: 1:   Chapter 18. Rules for Algebra
  599.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  600.    wt: 1:   Chapter 16. Painless Theorem Proving
  601.    wt: 1:   Chapter 15. Solving Linear Equations
  602.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  603.    wt: 1:   Chapter 12. Shorthand Usage Guide
  604.    wt: 1:   Chapter 11. Why Shorthand
  605.    wt: 1:   Chapter 10 Describing and Changing Calculations
  606.    wt: 1:   Postscript What is a Variable
  607.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  608.    wt: 1:   Chapter 8 Three Skills For Algebra
  609.    wt: 1:   Solutions For Arithmetic Exercises
  610.    wt: 1:   Chapter 6 Change of Language
  611.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  612.    wt: 1:   Chapter 4 Longer Chains of Reason
  613.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  614.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  615.    wt: 1:   Foreword
  616.    wt: 1:   Annotated Links to Material Elsehwere
  617.    wt: 1:   Postscript B Mathematics Education References
  618.    wt: 1:   Chapter 12 Four Phases
  619.    wt: 1:   Chapter 11 Elementary Instruction
  620.    wt: 1:   Chapter 10 Transition
  621.    wt: 1:   Chapter 9 The Two Ends
  622.    wt: 1:   Chapter 8 Modern Instruction
  623.    wt: 1:   Chapter 7 Two Treatments of Geometry
  624.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  625.    wt: 1:   Chapter 5 Four References
  626.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  627.    wt: 1:   Chapter 2 For and Against Mathematics
  628.    wt: 1:   Chapter 1 Introduction
  629.    wt: 1:   Foreword
  630.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  631.    wt: 1:   Postscript C Consistency as a Tool for Reason
  632.    wt: 1:   Postscript B More on Story Telling and Reason
  633.    wt: 1:   Postscript A Story Telling
  634.    wt: 1:   Chapter 24 Direct and Indirect Reason
  635.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  636.    wt: 1:   Chapter 21 Occurrence Tables
  637.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  638.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  639.    wt: 1:   Chapter 18 Sense and Knowledge
  640.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  641.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  642.    wt: 1:   Chapter 15 Objective Processes
  643.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  644.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  645.    wt: 1:   Chapter 11 Accidental Patterns
  646.    wt: 1:   Chapter 10 Responsibility
  647.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  648.    wt: 1:   Chapter 8 Change of Language
  649.    wt: 1:   Chapter 7 Longer Chains of Reason
  650.    wt: 1:   Chapter 6 Chains of Reason
  651.    wt: 1:   Chapter 5 Deception
  652.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  653.    wt: 1:   Chapter 2 Skill Development
  654.    wt: 1:   Chapter 1 Introduction
  655.    wt: 1:   Three Remarks
  656.    wt: 1:   Foreword
  657.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  658.    wt: 1:   M Words to extend arithmetic
  659.    wt: 1:   L Skills with take home value
  660.    wt: 1:   D. Check work a must with a caution
  661.    wt: 1:   C. Domino effect of being careful
  662.    wt: 1:   Helping the Blind in Logic and Mathematics
  663.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  664.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  665.    wt: 1:   Which Way To Go
  666.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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Skills with take home value

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

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

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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
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Logarithms-ax & m/nth roots
Five Polynomial Operations
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What is a Variable
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