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Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
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Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
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  1.    wt: 7:   4 Lessons on Using Derivatives/
  2.    wt: 6:   5 Lessons on Integration/
  3.    wt: 6:   38 Lessons on Calculating Derivatives/
  4.    wt: 6:   13 Lessons on Limits and Continuity/
  5.    wt: 5:   Step 4 Gaussian Elimination/
  6.    wt: 5:   Step 3 Easy systems in 2 or more unknowns/
  7.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  8.    wt: 4:   70 Calculus Starter Lessons/
  9.    wt: 3:   4 Computation Rules and Function Notation/
  10.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  11.    wt: 3:   Step 1 Stick diagram and fractions/
  12.    wt: 3:   3 Solving Linear Equations/
  13.    wt: 3:   1 Working With Sets/
  14.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  15.    wt: 3:   3 Prime Factorization Skills/
  16.    wt: 3:   D Decimal Long Division Methods/
  17.    wt: 3:   C Decimal Multiplication Methods/
  18.    wt: 3:   Advanced Calculus Volume 3 Appendices/
  19.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  20.    wt: 2:   4 Functions/
  21.    wt: 2:   3 Quadratics Geometrically/
  22.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 2:   13 Vectors/
  24.    wt: 2:   4 Lines and Slopes Take 1/
  25.    wt: 2:   3 Cartesian and Polar Coordinates/
  26.    wt: 2:   B Real Numbers Extrinsic Development/
  27.    wt: 2:   A Origins of Counting and Figuring Methods/
  28.    wt: 2:   10 Examples of Algebraic Reasoning/
  29.    wt: 2:   9 Proportionality Backwards and Forwards/
  30.    wt: 2:   8 Unifying Theme For Algebra/
  31.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  32.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  33.    wt: 2:   5 Real Numbers/
  34.    wt: 2:   2 Formula Forward Use Evaluation/
  35.    wt: 2:   Algebra Starter Lessons/
  36.    wt: 2:   8 Arithmetic with Signed Numbers/
  37.    wt: 2:   7 Arithmetic and Fractions with Units/
  38.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  39.    wt: 2:   A Decimal Counting and Adding Methods/
  40.    wt: 2:   2 Arithmetic with Decimals/
  41.    wt: 2:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   LAMP Lean Applied Mathematics Program/
  43.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  44.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  45.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  46.    wt: 1:   11 Squares and Square Roots/
  47.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  48.    wt: 1:   9 Combinatorics Trees Tables and Products/
  49.    wt: 1:   6 Fractions and Ratios/
  50.    wt: 1:   5 Integers/
  51.    wt: 1:   1 Decimal Place Value/
  52.    wt: 1:   Arithmetic and Number Theory Skills/
  53.    wt: 1:   Time Date Matters/
  54.    wt: 1:   Skills with take home value/
  55.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  56.    wt: 1:   Volume 1A Pattern Based Reason/
  57.    wt: 1:   Volume 1 Elements of Reason/
  58.    wt: 1:   Mathematics 506 Lessons/
  59.    wt: 1:   Secondary Mathematics A Practical Approach/
  60.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  61.    wt: 1:   Mathematics Skill Development Framework/

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334 matches:

  1.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  2.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  4.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  5.    wt: 3:   4. How to add with decimals B with conversions
  6.    wt: 3:   Chapter 3 Algebra Starter Lessons
  7.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  8.    wt: 2:   chapitre 04 04 Parlons de la logique
  9.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  10.    wt: 2:   Ages 12 to 14 Skills with take home value
  11.    wt: 2:   Ages 3 plus to 4 plus
  12.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  13.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  14.    wt: 2:   3 Navigation with Arrows or Vectors
  15.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  16.    wt: 2:   4 Similarity Definition with Coordinate
  17.    wt: 2:   3 Similarity by Design with coordinates
  18.    wt: 2:   3 More and Less Than with Unlike Signs
  19.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  20.    wt: 2:   13 Naming Identifying Formulas with Words
  21.    wt: 2:   3 Counting with Sets etc
  22.    wt: 2:   4 Square Roots with primes more
  23.    wt: 2:   3 Properties of Square Roots with example
  24.    wt: 2:   4 Counting with Trees Product Rule Take I
  25.    wt: 2:   3 Counting with Tables and Trees II
  26.    wt: 2:   4 Fractions with Units
  27.    wt: 2:   14 Adding and Subtracting with Like Denominators
  28.    wt: 2:   13 Subtraction with Additive Inverse
  29.    wt: 2:   3 Adding Movements with same direction
  30.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  31.    wt: 2:   14 video Factors of 24 Take II
  32.    wt: 2:   13 video Factors of 24 using prime
  33.    wt: 2:   4 Division with 2 Digit Divsors
  34.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  35.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  36.    wt: 2:   3. How to add with decimals A sans conversions
  37.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  38.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  39.    wt: 2:   014 Counting Days with Calendars
  40.    wt: 2:   Example 4 with x function of y
  41.    wt: 2:   A Related lessons in Volume 3
  42.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  43.    wt: 2:   34 Derivative of exponential function
  44.    wt: 2:   33 Chain Rule Real Player video examples
  45.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  46.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  47.    wt: 2:   Fall 1983 Calculus Appetizer
  48.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  49.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  50.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  51.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  52.    wt: 1:   Skills Chapter 5 Calculus
  53.    wt: 1:   Skills Chapter 4 Logic
  54.    wt: 1:   Skills Chapter 3 Algebra
  55.    wt: 1:   4 algebra
  56.    wt: 1:   3 Euclidean Geometry Leanly
  57.    wt: 1:   2 arithmetic with signed numbers
  58.    wt: 1:   1 arithmetic with unsigned numbers
  59.    wt: 1:   Applied Maths Program14092009 POMME variant
  60.    wt: 1:   the trouble with algebra
  61.    wt: 1:   05 13 OldSiteEntrancePage
  62.    wt: 1:   04 29 New Mathematics Curriculum
  63.    wt: 1:   04 25 when to stop or suspend mathemat
  64.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  65.    wt: 1:   chapitre 04 09 Regles accidentelles
  66.    wt: 1:   chapitre 04 08 Limitations et benefices
  67.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  68.    wt: 1:   chapitre 04 06 engagements
  69.    wt: 1:   chapitre 04 05 Implication versus suggestion
  70.    wt: 1:   chapitre 04 02 Deuxieme enigme
  71.    wt: 1:   chapitre 04 01 Premiere enigme
  72.    wt: 1:   chapitre 04 00 Les regles d implication
  73.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  74.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  75.    wt: 1:   4 Energy Power Heat09
  76.    wt: 1:   3 Energy Power Heat08
  77.    wt: 1:   D Energy Power04
  78.    wt: 1:   C Energy Power03
  79.    wt: 1:   F Wire Resistance Calculation04
  80.    wt: 1:   E Wire Resistance Calculation03
  81.    wt: 1:   3 Like resistors in parallel
  82.    wt: 1:   24 Standards For Skill Develoment Take II
  83.    wt: 1:   24 Standards For Skill Develoment
  84.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  85.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  86.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  87.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  88.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  89.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  90.    wt: 1:   14 Multiplication and Times Tables
  91.    wt: 1:   13 Addition and Addition Tables
  92.    wt: 1:   4 Learning Takes Time and Effort
  93.    wt: 1:   3 Preparing for Science Studies
  94.    wt: 1:   Ages 12 to 14 Geometry
  95.    wt: 1:   Ages 12 to 14 Arithmetic
  96.    wt: 1:   Ages 4 plus to 5 plus
  97.    wt: 1:   sign monoticity analysis example 4
  98.    wt: 1:   sign monoticity analysis example 3
  99.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  100.    wt: 1:   23 Inverse Functions
  101.    wt: 1:   14 Surjections Injections Bijections
  102.    wt: 1:   13 From one to one to many to one
  103.    wt: 1:   7 Functions with finite domains
  104.    wt: 1:   4 Function notation in and beyond mathematics
  105.    wt: 1:   3 Formula or function graphing exercise
  106.    wt: 1:   4 quadratics difference of two squares
  107.    wt: 1:   3 quadratics factoring by inspection
  108.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  109.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  110.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  111.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  112.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  113.    wt: 1:   1 Calculator Starter Exercises
  114.    wt: 1:   7 Links Lessons Elsewhere
  115.    wt: 1:   4 Polynomials Long division linear divisor
  116.    wt: 1:   3 Polynomials Multiplication Addition
  117.    wt: 1:   14 secant function Definition Graph and Inverse
  118.    wt: 1:   13 cosecant function Definition Graph and Inverse
  119.    wt: 1:   4 possible motivation for term arccos
  120.    wt: 1:   3 Left Inverse of cosine arccos definition
  121.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  122.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  123.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  124.    wt: 1:   13 Velocity Vectors in Physics
  125.    wt: 1:   6 Vectors with Coordinates
  126.    wt: 1:   4 Resultant of a Sum of Movements
  127.    wt: 1:   4 graphing y=Asin(x c)
  128.    wt: 1:   3 graphing y=f(x c) plus K
  129.    wt: 1:   14 Straight Lines Equations General Case
  130.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  131.    wt: 1:   4 Tangent Function Properties
  132.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  133.    wt: 1:   32 seven rows of pascals triangle
  134.    wt: 1:   31 basic secant cosecant cotangent trig identities
  135.    wt: 1:   30 unit circle calculation of six trigonometric functions
  136.    wt: 1:   24 tangent Angle Difference Formula
  137.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  138.    wt: 1:   14 cosine even and sine and tangent are odd
  139.    wt: 1:   13 Graph of tangent function many periods
  140.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  141.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  142.    wt: 1:   14 Law of cosines
  143.    wt: 1:   13 Trig Formulas for dot and cross Products
  144.    wt: 1:   4 Multiplication Properties
  145.    wt: 1:   3 Addition Properties
  146.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  147.    wt: 1:   3 Trigonometric Ratios sine and cosine
  148.    wt: 1:   1 Angle Measurement with Degrees
  149.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  150.    wt: 1:   12 Links Lessons elsewhere
  151.    wt: 1:   4 Equations for lines three forms
  152.    wt: 1:   3 Slope product for perpendicular lines
  153.    wt: 1:   13 Pythagorean spatial distance formulas
  154.    wt: 1:   4 Polar Coordinates to and from
  155.    wt: 1:   3 Rectangular Coordinates Review
  156.    wt: 1:   2 Cartesian Coordinates with signs
  157.    wt: 1:   PS E Multiplication with Polar Coordinates
  158.    wt: 1:   PS D Addition with Cartesian Coordinates
  159.    wt: 1:   14 Parallel Lines Postulate
  160.    wt: 1:   13 Angle Side Angle Failure
  161.    wt: 1:   4 Side Side Side
  162.    wt: 1:   3 Isometry of Triangles Congruence
  163.    wt: 1:   A Measurement with Ruler Proper Use
  164.    wt: 1:   6 Figuring with Maps Not to Scale
  165.    wt: 1:   4 Angles on Maps Plans drawn to scale
  166.    wt: 1:   3 Lengths and Areas on Maps and Plans
  167.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  168.    wt: 1:   23 Distributive Law Two Derivations
  169.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  170.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  171.    wt: 1:   13 Arrows and Vectors in a Plane
  172.    wt: 1:   9 Division with Digits after Decimal Point
  173.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  174.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  175.    wt: 1:   4 Location of Point in Decimal Addition
  176.    wt: 1:   3 Location of Point in Decimal Multiplication
  177.    wt: 1:   1 Fractions with Finite Decimal Expansions
  178.    wt: 1:   4 Commutative Law Groups Counting Form
  179.    wt: 1:   3 Multiplicative Counting Skills Principles
  180.    wt: 1:   4 Fraction Operations Axiomatic Development
  181.    wt: 1:   3 Inequalities Algebraically
  182.    wt: 1:   4 Rates Ratios and Proporitionality
  183.    wt: 1:   3 Proportionality Examples
  184.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  185.    wt: 1:   3 Linear Equation Literal Solution More
  186.    wt: 1:   4 Subtraction and Division Axioms
  187.    wt: 1:   3 Product Axioms Two Forms
  188.    wt: 1:   4 Comparison of Negative Numbers
  189.    wt: 1:   14 Real Number Multiplication
  190.    wt: 1:   13 Real Number Subtraction
  191.    wt: 1:   4 Rational Numbers
  192.    wt: 1:   3 Fractions
  193.    wt: 1:   4 Changing Letters
  194.    wt: 1:   3 Geometric Formulas and Function Notation
  195.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  196.    wt: 1:   4 GE III Animated Examples
  197.    wt: 1:   3 GE III Equation Addition and Multiplication
  198.    wt: 1:   4 Solving a triangular system exercise
  199.    wt: 1:   3 Solving triangular system example
  200.    wt: 1:   2 Essentially one exercises three with solution
  201.    wt: 1:   4 Four Examples Fractional Coefficients
  202.    wt: 1:   3 Four Examples
  203.    wt: 1:   4 Two Examples
  204.    wt: 1:   3 Two Examples
  205.    wt: 1:   4 Circle Area Formula Example
  206.    wt: 1:   3 Triangle Area Formula Example
  207.    wt: 1:   4 Subset Builder Notation
  208.    wt: 1:   4 A Brief Story of numbers and algebra
  209.    wt: 1:   3 Adding Words To Arithmetic
  210.    wt: 1:   4 Greater More Less Than Signs in General
  211.    wt: 1:   3 Comparison of Negative Numbers
  212.    wt: 1:   2 More and Less Than with Unlike Signs
  213.    wt: 1:   5 Square Roots with primes more still
  214.    wt: 1:   2 Square Roots with Prime
  215.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  216.    wt: 1:   13 GCD from given Prime Factorization
  217.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  218.    wt: 1:   5 Common Divisors 60 45 via Prime
  219.    wt: 1:   4 LCM of 8 and 10 via Prime
  220.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  221.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  222.    wt: 1:   2 Counting with Tables and Trees I
  223.    wt: 1:   4 signed coordinates for regions in space
  224.    wt: 1:   3 signed coordinates for maps and planes
  225.    wt: 1:   6 Simplification of Fractions with Units
  226.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  227.    wt: 1:   3 Multiplying Units and Numbers
  228.    wt: 1:   1 Addition and Subtraction with Units
  229.    wt: 1:   21 Working With Signs
  230.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  231.    wt: 1:   13 Fraction Comparison Algebraic View
  232.    wt: 1:   4 Fraction Multiplication
  233.    wt: 1:   3 Unit fraction of a fraction
  234.    wt: 1:   4 Adding Movements wiht opposite directions
  235.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  236.    wt: 1:   26 Divisibility by 2 3 5 Example
  237.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  238.    wt: 1:   23 Remainder Arithmetic Modulo 2
  239.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  240.    wt: 1:   21 Remainder Arithmetic Modulo 3
  241.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  242.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  243.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  244.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  245.    wt: 1:   10 video Prime Factorization upto 23 squared
  246.    wt: 1:   4 video Prime Factorization Introduction
  247.    wt: 1:   3 video Primes and Composites from 9 times table
  248.    wt: 1:   Division with Counts and Length
  249.    wt: 1:   Long Division forwards and backwards Example 3
  250.    wt: 1:   3 Division Single Digit Divisor Example
  251.    wt: 1:   2 Division with Single Digit Divisors
  252.    wt: 1:   C Counting Areas with Powers of Ten
  253.    wt: 1:   4 Two and Three Digit Multipliers
  254.    wt: 1:   3 More One Digit Multipliers
  255.    wt: 1:   1 Why 3 times 5 gives 15
  256.    wt: 1:   Subtraction with J Conversions Example
  257.    wt: 1:   8 Subtraction with Units of Measure
  258.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  259.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  260.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  261.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  262.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  263.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  264.    wt: 1:   013 Travel Time Tables
  265.    wt: 1:   4 Mixing and Changing Units of Time
  266.    wt: 1:   3 Units and Lengths of Time
  267.    wt: 1:   Example 3
  268.    wt: 1:   A Related Material in Volume 3
  269.    wt: 1:   4 Definite Integrals Evaluation Exercises
  270.    wt: 1:   3 Two Chain Rule Method Exercises
  271.    wt: 1:   4 Second derivative test exercise example
  272.    wt: 1:   3 Second derivative test
  273.    wt: 1:   38 Formulas and derivatives for powers and roots
  274.    wt: 1:   36 Cube root derivative animated
  275.    wt: 1:   31 Derivatives of inverse functions
  276.    wt: 1:   30Chain Rule A Proof
  277.    wt: 1:   24 Chain Rule Animated Examples
  278.    wt: 1:   23 Chain Rule in general
  279.    wt: 1:   15 sine and cosine derivatives 3rd step
  280.    wt: 1:   14 sine and cosine derivatives 2nd step
  281.    wt: 1:   13 sine and cosine derivatives 1st step
  282.    wt: 1:   4 Sum Rule
  283.    wt: 1:   3 Motivation for Limit Definition Take 2
  284.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  285.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  286.    wt: 1:   10 Three one sided limits with infinite values
  287.    wt: 1:   4 Numerical properties
  288.    wt: 1:   3 Decimal insights for limits continuity convergence
  289.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  290.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  291.    wt: 1:   G.5 Motions With Bounded Velocities
  292.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  293.    wt: 1:   G.3 Constant Difference Theorem Proof
  294.    wt: 1:   F.4 Finite Covering Theorem
  295.    wt: 1:   F.3 Intermediate Value Theorem
  296.    wt: 1:   B3 Bolzano Weierstrass Theorem
  297.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  298.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  299.    wt: 1:   Chapter 23 Links To Trigonometry
  300.    wt: 1:   Chapter 13. Acceleration
  301.    wt: 1:   Chapter 9 About First Courses in Calculus
  302.    wt: 1:   Chapter 4. More Slope Sign Analysis
  303.    wt: 1:   Chapter 3. Slope Sign Analysis
  304.    wt: 1:   Chapter 31 Direct and Indirect Reason
  305.    wt: 1:   Chapter 30 Truth Tables
  306.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  307.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  308.    wt: 1:   Chapter 23. Notation For Sums
  309.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  310.    wt: 1:   Chapter 13. Second Reading Guide
  311.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  312.    wt: 1:   Chapter 4 Longer Chains of Reason
  313.    wt: 1:   Chapter 3 Chains of Reason
  314.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  315.    wt: 1:   Chapter 3 Algebra Difficulties
  316.    wt: 1:   Chapter 24 Direct and Indirect Reason
  317.    wt: 1:   Chapter 23 Truth Tables
  318.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  319.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  320.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  321.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  322.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  323.    wt: 1:   L Skills with take home value
  324.    wt: 1:   D. Check work a must with a caution
  325.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  326.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  327.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  328.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  329.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  330.    wt: 1:   More Algebra and Slope based Calculus Preview
  331.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  332.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  333.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  334.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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912 matches:

  1.    wt: 9:   Example 4 with x function of y
  2.    wt: 9:   A Related lessons in Volume 3
  3.    wt: 9:   3 Second derivative test
  4.    wt: 9:   1 Two cubic sketching exercises with 1st derivative
  5.    wt: 9:   34 Derivative of exponential function
  6.    wt: 9:   33 Chain Rule Real Player video examples
  7.    wt: 8:   3 Gaussian Elimination 3 unknowns first example
  8.    wt: 8:   4 Second derivative test exercise example
  9.    wt: 8:   2 Second derivative test prequel
  10.    wt: 8:   31 Derivatives of inverse functions
  11.    wt: 8:   24 Chain Rule Animated Examples
  12.    wt: 8:   23 Chain Rule in general
  13.    wt: 8:   14 sine and cosine derivatives 2nd step
  14.    wt: 8:   13 sine and cosine derivatives 1st step
  15.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  16.    wt: 8:   12 Limits with Parameters and Derivatives Take I
  17.    wt: 8:   4 Numerical properties
  18.    wt: 7:   4 GE III Animated Examples
  19.    wt: 7:   3 GE III Equation Addition and Multiplication
  20.    wt: 7:   4 Solving a triangular system exercise
  21.    wt: 7:   3 Solving triangular system example
  22.    wt: 7:   Example 3
  23.    wt: 7:   A Related Material in Volume 3
  24.    wt: 7:   4 Definite Integrals Evaluation Exercises
  25.    wt: 7:   3 Two Chain Rule Method Exercises
  26.    wt: 7:   2 Indefinite Integrals Exercises
  27.    wt: 7:   38 Formulas and derivatives for powers and roots
  28.    wt: 7:   36 Cube root derivative animated
  29.    wt: 7:   30Chain Rule A Proof
  30.    wt: 7:   25 Chain Rule Animated Examples Continued
  31.    wt: 7:   22 Chain Rule for polynomials
  32.    wt: 7:   17 Derivatives of quotients of sine and cosine
  33.    wt: 7:   15 sine and cosine derivatives 3rd step
  34.    wt: 7:   12 Quotient rule examples
  35.    wt: 7:   6 Power rule from product rule
  36.    wt: 7:   5 Product Rule
  37.    wt: 7:   4 Sum Rule
  38.    wt: 7:   3 Motivation for Limit Definition Take 2
  39.    wt: 7:   1 Fall 1983 Why Slopes Appetizer
  40.    wt: 7:   10 Three one sided limits with infinite values
  41.    wt: 7:   3 Decimal insights for limits continuity convergence
  42.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  43.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  44.    wt: 6:   2 Essentially one exercises three with solution
  45.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  46.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  47.    wt: 6:   14 video Factors of 24 Take II
  48.    wt: 6:   13 video Factors of 24 using prime
  49.    wt: 6:   4 Division with 2 Digit Divsors
  50.    wt: 6:   4. How to add with decimals B with conversions
  51.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  52.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  53.    wt: 6:   Example 2
  54.    wt: 6:   Example 1
  55.    wt: 6:   5 Area Under Curve Exercise
  56.    wt: 6:   1 Chain Rule in Reverse Integration Method
  57.    wt: 6:   A Chain Rule Real Player video examples
  58.    wt: 6:   29 Chain Rule Optional Reading
  59.    wt: 6:   28 Chain Rule Preparation for a Proof
  60.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  61.    wt: 6:   26 Chain Rule Recognising outer inner functions
  62.    wt: 6:   21 Chain Rule for powers
  63.    wt: 6:   20 Chain Rule for Pulley Systems
  64.    wt: 6:   19 Chain Rule for linear functions
  65.    wt: 6:   18 Chain Rule Introduction
  66.    wt: 6:   16 Derivatives of reciprocals of sine and cosine
  67.    wt: 6:   11 Quotient rule
  68.    wt: 6:   10 Power rule for negative integers
  69.    wt: 6:   9 Reciprocal rule
  70.    wt: 6:   8 Differentiation of polynomials
  71.    wt: 6:   7 Animated Differentiation Examples
  72.    wt: 6:   2 Motivation for Limit Definition Take 1
  73.    wt: 6:   11 Limits at infinity Three Examples
  74.    wt: 6:   9 Limits Continuity and Composition
  75.    wt: 6:   8 Four Animated Examples
  76.    wt: 6:   7 Evaluation by immediate or delayed substitution
  77.    wt: 6:   6 Continuity at a point
  78.    wt: 6:   5 Jumps and absence of unlimited error control
  79.    wt: 6:   2 Algebraic codification
  80.    wt: 6:   1 Numerical introduction
  81.    wt: 6:   Chapter 14 Limits and Continuity with and sans Decimals
  82.    wt: 5:   3 Navigation with Arrows or Vectors
  83.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  84.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  85.    wt: 5:   2 GE II Comparison
  86.    wt: 5:   1 GE Substitution four examples
  87.    wt: 5:   1 Essentially One Unknown
  88.    wt: 5:   4 Four Examples Fractional Coefficients
  89.    wt: 5:   3 Four Examples
  90.    wt: 5:   4 Two Examples
  91.    wt: 5:   3 Two Examples
  92.    wt: 5:   3 Counting with Sets etc
  93.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  94.    wt: 5:   23 Remainder Arithmetic Modulo 2
  95.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  96.    wt: 5:   21 Remainder Arithmetic Modulo 3
  97.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  98.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  99.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  100.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  101.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  102.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  103.    wt: 5:   4 video Prime Factorization Introduction
  104.    wt: 5:   3 video Primes and Composites from 9 times table
  105.    wt: 5:   3 Division Single Digit Divisor Example
  106.    wt: 5:   4 Two and Three Digit Multipliers
  107.    wt: 5:   3 More One Digit Multipliers
  108.    wt: 5:   4 Subtraction with Conversions Borrows and Letter J
  109.    wt: 5:   3. How to add with decimals A sans conversions
  110.    wt: 5:   Example 2 volume of a cone
  111.    wt: 5:   Example 1 volume of a pyramid
  112.    wt: 5:   Volume of Solid by Cross Sections Lesson
  113.    wt: 5:   Example 1. Area Between x and x squared
  114.    wt: 5:   Area Between Curves Lesson Take 2
  115.    wt: 5:   Area Between Curves Lesson Take 1
  116.    wt: 5:   Summary
  117.    wt: 5:   B3 Bolzano Weierstrass Theorem
  118.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  119.    wt: 5:   Chapter 23 Links To Trigonometry
  120.    wt: 5:   Chapter 13. Acceleration
  121.    wt: 5:   Chapter 4. More Slope Sign Analysis
  122.    wt: 5:   Chapter 3. Slope Sign Analysis
  123.    wt: 5:   Fall 1983 Calculus Appetizer
  124.    wt: 5:   Chapter 3 Algebra Starter Lessons
  125.    wt: 5:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  126.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  127.    wt: 4:   23 Inverse Functions
  128.    wt: 4:   14 Surjections Injections Bijections
  129.    wt: 4:   13 From one to one to many to one
  130.    wt: 4:   4 Function notation in and beyond mathematics
  131.    wt: 4:   3 Formula or function graphing exercise
  132.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  133.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  134.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  135.    wt: 4:   13 Velocity Vectors in Physics
  136.    wt: 4:   4 Resultant of a Sum of Movements
  137.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  138.    wt: 4:   4 Equations for lines three forms
  139.    wt: 4:   3 Slope product for perpendicular lines
  140.    wt: 4:   13 Pythagorean spatial distance formulas
  141.    wt: 4:   4 Polar Coordinates to and from
  142.    wt: 4:   3 Rectangular Coordinates Review
  143.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  144.    wt: 4:   23 Distributive Law Two Derivations
  145.    wt: 4:   4 Commutative Law Groups Counting Form
  146.    wt: 4:   3 Multiplicative Counting Skills Principles
  147.    wt: 4:   4 Rates Ratios and Proporitionality
  148.    wt: 4:   3 Proportionality Examples
  149.    wt: 4:   3 More and Less Than with Unlike Signs
  150.    wt: 4:   4 Changing Letters
  151.    wt: 4:   3 Geometric Formulas and Function Notation
  152.    wt: 4:   Simple Exercises
  153.    wt: 4:   13 Naming Identifying Formulas with Words
  154.    wt: 4:   4 Subset Builder Notation
  155.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  156.    wt: 4:   4 signed coordinates for regions in space
  157.    wt: 4:   4 Fractions with Units
  158.    wt: 4:   3 Adding Movements with same direction
  159.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  160.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  161.    wt: 4:   26 Divisibility by 2 3 5 Example
  162.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  163.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  164.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  165.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  166.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  167.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  168.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  169.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  170.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  171.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  172.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  173.    wt: 4:   10 video Prime Factorization upto 23 squared
  174.    wt: 4:   Long Division Backwards more
  175.    wt: 4:   Long Division Backward
  176.    wt: 4:   Division with Counts and Length
  177.    wt: 4:   Long Division forwards and backwards Example 3
  178.    wt: 4:   2 Division with Single Digit Divisors
  179.    wt: 4:   C Counting Areas with Powers of Ten
  180.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  181.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  182.    wt: 4:   1 Why 3 times 5 gives 15
  183.    wt: 4:   Subtraction with J Conversions Example
  184.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  185.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  186.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  187.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  188.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  189.    wt: 4:   G.1 First Fundamental Theorem of Calculus
  190.    wt: 4:   G.5 Motions With Bounded Velocities
  191.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  192.    wt: 4:   G.3 Constant Difference Theorem Proof
  193.    wt: 4:   F.5b Extreme Value Theorem
  194.    wt: 4:   F.5a Equicontinuity Theorems
  195.    wt: 4:   F.4 Finite Covering Theorem
  196.    wt: 4:   F.3 Intermediate Value Theorem
  197.    wt: 4:   C Triangle Inequalities
  198.    wt: 4:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  199.    wt: 4:   Chapter 9 About First Courses in Calculus
  200.    wt: 4:   Appendix D. What to do in School and Why
  201.    wt: 4:   Appendix C. How to Read
  202.    wt: 4:   Chapter 31 Direct and Indirect Reason
  203.    wt: 4:   Chapter 30 Truth Tables
  204.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  205.    wt: 4:   Chapter 23. Notation For Sums
  206.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  207.    wt: 4:   Chapter 13. Second Reading Guide
  208.    wt: 4:   Chapter 4 Longer Chains of Reason
  209.    wt: 4:   Chapter 3 Chains of Reason
  210.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  211.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  212.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  213.    wt: 3:   Skills Chapter 4 Logic
  214.    wt: 3:   Skills Chapter 3 Algebra
  215.    wt: 3:   Ages 3 plus to 4 plus
  216.    wt: 3:   sign monoticity analysis example 4
  217.    wt: 3:   sign monoticity analysis example 3
  218.    wt: 3:   7 Functions with finite domains
  219.    wt: 3:   4 quadratics difference of two squares
  220.    wt: 3:   3 quadratics factoring by inspection
  221.    wt: 3:   6 Vectors with Coordinates
  222.    wt: 3:   5 Head To Tail Arrow Addition
  223.    wt: 3:   14 Straight Lines Equations General Case
  224.    wt: 3:   12 Straight Lines Graphing mx plus b
  225.    wt: 3:   4 Similarity Definition with Coordinate
  226.    wt: 3:   3 Similarity by Design with coordinates
  227.    wt: 3:   Four Simple Exercises
  228.    wt: 3:   12 Links Lessons elsewhere
  229.    wt: 3:   2 Cartesian Coordinates with signs
  230.    wt: 3:   A Modular and Remainder Arithmetic
  231.    wt: 3:   26 More Less Greater Than Comparison
  232.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  233.    wt: 3:   22 Multiplication of Signed Numbers
  234.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  235.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  236.    wt: 3:   13 Arrows and Vectors in a Plane
  237.    wt: 3:   9 Division with Digits after Decimal Point
  238.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  239.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  240.    wt: 3:   4 Location of Point in Decimal Addition
  241.    wt: 3:   3 Location of Point in Decimal Multiplication
  242.    wt: 3:   1 Fractions with Finite Decimal Expansions
  243.    wt: 3:   4 Fraction Operations Axiomatic Development
  244.    wt: 3:   3 Inequalities Algebraically
  245.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  246.    wt: 3:   3 Linear Equation Literal Solution More
  247.    wt: 3:   4 Subtraction and Division Axioms
  248.    wt: 3:   3 Product Axioms Two Forms
  249.    wt: 3:   4 Comparison of Negative Numbers
  250.    wt: 3:   14 Real Number Multiplication
  251.    wt: 3:   13 Real Number Subtraction
  252.    wt: 3:   4 Rational Numbers
  253.    wt: 3:   3 Fractions
  254.    wt: 3:   5 Independent versus Dependent Variables
  255.    wt: 3:   2 Computation Rules Evaluation
  256.    wt: 3:   1 Formulas Dependence and Function Notation
  257.    wt: 3:   More Exercises
  258.    wt: 3:   6 Algebraic Solution Example
  259.    wt: 3:   5 Algebraic Solutions Introduction
  260.    wt: 3:   2 Three Examples
  261.    wt: 3:   1 Proper Equal Sign Usage
  262.    wt: 3:   Skill Development Notes
  263.    wt: 3:   10 One Example
  264.    wt: 3:   9 Three Examples
  265.    wt: 3:   8 One Example
  266.    wt: 3:   7 Two Examples
  267.    wt: 3:   6 Three Examples
  268.    wt: 3:   5 Three Examples
  269.    wt: 3:   2 Three Examples
  270.    wt: 3:   Using Letters for Physical Quantities
  271.    wt: 3:   Formula Usage Show Work Format
  272.    wt: 3:   4 Circle Area Formula Example
  273.    wt: 3:   3 Triangle Area Formula Example
  274.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  275.    wt: 3:   9 Sets in Probability and Statistics
  276.    wt: 3:   8 Sets of Numbers
  277.    wt: 3:   7 Cautious or Safe Set Construction
  278.    wt: 3:   6 Power Set Notation
  279.    wt: 3:   5 Product Builder Notation
  280.    wt: 3:   2 Venn Diagrams
  281.    wt: 3:   1 Finite Sets
  282.    wt: 3:   4 A Brief Story of numbers and algebra
  283.    wt: 3:   3 Adding Words To Arithmetic
  284.    wt: 3:   4 Greater More Less Than Signs in General
  285.    wt: 3:   3 Comparison of Negative Numbers
  286.    wt: 3:   4 Square Roots with primes more
  287.    wt: 3:   3 Properties of Square Roots with example
  288.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  289.    wt: 3:   4 Counting with Trees Product Rule Take I
  290.    wt: 3:   3 Counting with Tables and Trees II
  291.    wt: 3:   3 signed coordinates for maps and planes
  292.    wt: 3:   6 Simplification of Fractions with Units
  293.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  294.    wt: 3:   3 Multiplying Units and Numbers
  295.    wt: 3:   1 Addition and Subtraction with Units
  296.    wt: 3:   14 Adding and Subtracting with Like Denominators
  297.    wt: 3:   4 Fraction Multiplication
  298.    wt: 3:   3 Unit fraction of a fraction
  299.    wt: 3:   13 Subtraction with Additive Inverse
  300.    wt: 3:   4 Adding Movements wiht opposite directions
  301.    wt: 3:   5 Remainder Arithmetic Modulo 5
  302.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  303.    wt: 3:   1 Remainder Arithmetic Modulo 10
  304.    wt: 3:   20 Uniqueness of Prime Factorization
  305.    wt: 3:   19 video Prime Factorization Unique
  306.    wt: 3:   18 video Count Factors given Prime Factorization
  307.    wt: 3:   17 Identify and Count Factors using Primes
  308.    wt: 3:   16 video Factors of 980 using prime
  309.    wt: 3:   15 video Factors of 20 using Prime Factorization
  310.    wt: 3:   12 LCD GCD and LCM using Primes
  311.    wt: 3:   11 Efficient Square Rule Use
  312.    wt: 3:   9 video Prime Factorization upto 19 squared
  313.    wt: 3:   8 video Prime Factorization upto 19
  314.    wt: 3:   7 Calculator Usage Notes and Cautions
  315.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  316.    wt: 3:   5 Prime Factorization and a Square Rule
  317.    wt: 3:   2 Prime and Composites less than 16
  318.    wt: 3:   1 video how Products are bigger than factor
  319.    wt: 3:   Long Division forwards and backwards Example 2
  320.    wt: 3:   Long Division forwards and backwards Example 1
  321.    wt: 3:   12 Why Long Division Works Take III
  322.    wt: 3:   11 Another Single Digit Divisor Example
  323.    wt: 3:   10 Division by Five Long and Short Ways
  324.    wt: 3:   9 Why Long Division Works Take II
  325.    wt: 3:   8 Correcting the Mistake
  326.    wt: 3:   7 Long Divison Mistake Catching
  327.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  328.    wt: 3:   5 Long Division Include Zeroes or not
  329.    wt: 3:   1 Divsion Physical Examples
  330.    wt: 3:   D Decimal Multiplication Methods Derived
  331.    wt: 3:   B Powers of Ten
  332.    wt: 3:   A Elementary Basis for Multiplication Methods
  333.    wt: 3:   6 Multiplication Commutes Order Not Important
  334.    wt: 3:   5 Decimal Fraction Multiplication
  335.    wt: 3:   2 One Digit Multipliers
  336.    wt: 3:   Video Power Notation in Decimal Expansion
  337.    wt: 3:   Subtraction Another Video Lesson
  338.    wt: 3:   8 Subtraction with Units of Measure
  339.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  340.    wt: 3:   014 Counting Days with Calendars
  341.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  342.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  343.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  344.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  345.    wt: 3:   F.2 Closed Range Theorem
  346.    wt: 3:   F.1 What Functions are Continuous
  347.    wt: 3:   E2 Algebraic Properties of Limits
  348.    wt: 3:   E1 Error Control Inequalities
  349.    wt: 3:   D2 Limits of Monotone Sequences
  350.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  351.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  352.    wt: 3:   PostScript For and Against Decimal Perspectives
  353.    wt: 3:   A1. Introduction
  354.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  355.    wt: 3:   Chapter 22 Complex Numbers
  356.    wt: 3:   Chapter 21 Arrow Addition
  357.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  358.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  359.    wt: 3:   Chapter 18. Slopes Areas Integration
  360.    wt: 3:   Chapter 17. Area Approximation
  361.    wt: 3:   Chapter 16. Velocity Approximation
  362.    wt: 3:   Chapter 15. Slope Approximation
  363.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  364.    wt: 3:   Chapter 12. Units and Slopes
  365.    wt: 3:   Chapter 11. Graphing Slope versus Position
  366.    wt: 3:   Chapter 10 Slopes and Units
  367.    wt: 3:   Chapter 8. Slope Interpretation
  368.    wt: 3:   Chapter 7 Slopes and Velocity
  369.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  370.    wt: 3:   Chapter 5. Slope Sign Tests
  371.    wt: 3:   Chapter 2. Slopes and Ski Trails
  372.    wt: 3:   Chapter 1.Introduction
  373.    wt: 3:   Foreword
  374.    wt: 3:   Appendix E. How To Study Mathematics and Why
  375.    wt: 3:   Appendix B. How To Learn
  376.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  377.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  378.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  379.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  380.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  381.    wt: 3:   Chapter 3 Algebra Difficulties
  382.    wt: 3:   Chapter 24 Direct and Indirect Reason
  383.    wt: 3:   Chapter 23 Truth Tables
  384.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  385.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  386.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  387.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  388.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  389.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  390.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  391.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  392.    wt: 3:   More Algebra and Slope based Calculus Preview
  393.    wt: 3:   Systematic Algebra Skill Development Missing Links
  394.    wt: 2:   K LAMP Musings Science Education
  395.    wt: 2:   J LAMP Introduction Extrinsic Origins
  396.    wt: 2:   I LAMP Introduction Study Habits
  397.    wt: 2:   H LAMP Introduction Instructional Concepts
  398.    wt: 2:   G LAMP Introduction Problem Solving Skills
  399.    wt: 2:   F LAMP Introduction Prerequisites
  400.    wt: 2:   E LAMP Introduction Modern Mathematics
  401.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  402.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  403.    wt: 2:   A Introduction Objectives
  404.    wt: 2:   Skills Chapter 5 Calculus
  405.    wt: 2:   Ramblings Extrinsic numbers theory
  406.    wt: 2:   Ramblings Introduction Algebra Essay
  407.    wt: 2:   4 algebra
  408.    wt: 2:   3 Euclidean Geometry Leanly
  409.    wt: 2:   modern education
  410.    wt: 2:   Education Reform Inconsistencies
  411.    wt: 2:   the trouble with algebra
  412.    wt: 2:   chapitre 04 04 Parlons de la logique
  413.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  414.    wt: 2:   D Energy Power04
  415.    wt: 2:   C Energy Power03
  416.    wt: 2:   24 Standards For Skill Develoment Take II
  417.    wt: 2:   24 Standards For Skill Develoment
  418.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  419.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  420.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  421.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  422.    wt: 2:   14 Multiplication and Times Tables
  423.    wt: 2:   13 Addition and Addition Tables
  424.    wt: 2:   4 Learning Takes Time and Effort
  425.    wt: 2:   3 Preparing for Science Studies
  426.    wt: 2:   Ages 12 to 14 Skills with take home value
  427.    wt: 2:   Ages 4 plus to 5 plus
  428.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  429.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  430.    wt: 2:   26 Function definitions done and coming
  431.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  432.    wt: 2:   22 Square Root function graphically
  433.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  434.    wt: 2:   20 Interchanging coordinates a reflection
  435.    wt: 2:   19 Horizontal line rule and method
  436.    wt: 2:   18 Vertical Line Rule and Method
  437.    wt: 2:   17 Function maxima minima and their location
  438.    wt: 2:   16 Increasing or decreasing on intervals
  439.    wt: 2:   15 Sign analysis of functions
  440.    wt: 2:   12 Function Domain Recognition Exercises
  441.    wt: 2:   11 Function Domain Range Source and Targets
  442.    wt: 2:   10 Interval Notation
  443.    wt: 2:   9 Set theory term relation possible origins
  444.    wt: 2:   8 Set view of relations and functions
  445.    wt: 2:   6 Set Existence Formation and Notation
  446.    wt: 2:   5 Function notation for geometric transformations
  447.    wt: 2:   2 Algebraic use of function notation
  448.    wt: 2:   1 Geometric Introduction of Function Notation
  449.    wt: 2:   Introduction Reading Guide
  450.    wt: 2:   A Quadratics Summary
  451.    wt: 2:   10 quadratic exercises
  452.    wt: 2:   9 quadratics physical and further context
  453.    wt: 2:   8 quadratics backward use of various formulas
  454.    wt: 2:   7 quadratic formulla derivation
  455.    wt: 2:   6 quadratics numerical approach
  456.    wt: 2:   5 quadratics completing the square
  457.    wt: 2:   2 quadratics graphing in general
  458.    wt: 2:   1 quadratics graphing exercises
  459.    wt: 2:   Quadratics in 10 steps
  460.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  461.    wt: 2:   9 Summary Degrees to Radians and back
  462.    wt: 2:   8 Radian Measures of Common Angles
  463.    wt: 2:   7 Radian Measures in special Triangles
  464.    wt: 2:   6 Radian Measure to Degrees
  465.    wt: 2:   5 Degrees to Radian Measure
  466.    wt: 2:   2 Radian Measure Numerical Value of one degree
  467.    wt: 2:   1 Degrees and Radians Introduction
  468.    wt: 2:   A Global Time and Navigation
  469.    wt: 2:   15 Dot and Cross Product
  470.    wt: 2:   12 From Applied To Pure Mathematics
  471.    wt: 2:   11 Component Method
  472.    wt: 2:   10 Parallelogram Addition Method
  473.    wt: 2:   9 Head to Tail Coordinate View
  474.    wt: 2:   8 Parallel Vectors
  475.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  476.    wt: 2:   2 Signed Coordinates
  477.    wt: 2:   1 Unsigned Coordinates
  478.    wt: 2:   Vector and Complex Number Applet
  479.    wt: 2:   11 Straight Lines Graphing y=mx
  480.    wt: 2:   10 Straight Lines through Origin Equations More
  481.    wt: 2:   9 Straight Lines through Origin Equations
  482.    wt: 2:   4 Tangent Function Properties
  483.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  484.    wt: 2:   32 seven rows of pascals triangle
  485.    wt: 2:   31 basic secant cosecant cotangent trig identities
  486.    wt: 2:   24 tangent Angle Difference Formula
  487.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  488.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  489.    wt: 2:   14 Law of cosines
  490.    wt: 2:   13 Trig Formulas for dot and cross Products
  491.    wt: 2:   4 Multiplication Properties
  492.    wt: 2:   3 Addition Properties
  493.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  494.    wt: 2:   11 A Partial Summary
  495.    wt: 2:   10 Midpoint of [a b] and [b a]
  496.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  497.    wt: 2:   8 Mid Point Formula
  498.    wt: 2:   7 Exercises to test skill and concept mastery
  499.    wt: 2:   6 Intersection of lines by solving linear systems
  500.    wt: 2:   5 Algebraic View of Slopes
  501.    wt: 2:   2 point slope equation for a line
  502.    wt: 2:   1 Numerical view of lines and their equations
  503.    wt: 2:   What is and is not here
  504.    wt: 2:   12 Spatial Coordinates
  505.    wt: 2:   11 Triangle Inequality
  506.    wt: 2:   10 Pythagorean plane distance formula
  507.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  508.    wt: 2:   8 Distance Between Points on a Line
  509.    wt: 2:   7 Complex Numbers Appetizer
  510.    wt: 2:   6 Polar Multiplication and Rotation
  511.    wt: 2:   5 Cartesian Addition and Translation
  512.    wt: 2:   1 Cartesian Coordinates sans signs
  513.    wt: 2:   PS D Addition with Cartesian Coordinates
  514.    wt: 2:   14 Parallel Lines Postulate
  515.    wt: 2:   13 Angle Side Angle Failure
  516.    wt: 2:   4 Side Side Side
  517.    wt: 2:   3 Isometry of Triangles Congruence
  518.    wt: 2:   musings do not puiblish real numbers
  519.    wt: 2:   A Signed Number Arithmetic Review
  520.    wt: 2:   21 Addition of Multiples of a Single Vector
  521.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  522.    wt: 2:   19 Signed Multiples of Vectors
  523.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  524.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  525.    wt: 2:   15 Head to Tails in place Addition Associative
  526.    wt: 2:   12 Real Numbers Line Signed Coordinates
  527.    wt: 2:   11 Signed Number Addition and Addition Properties
  528.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  529.    wt: 2:   8 Division and Mulplication of Compound Fractions
  530.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  531.    wt: 2:   2 Counting Digits in Decimal Multiplication
  532.    wt: 2:   E Long Division Methods more
  533.    wt: 2:   D Long Division Methods
  534.    wt: 2:   C Three Decimal Subtraction Methods
  535.    wt: 2:   B Decimal Comparison and Subtraction
  536.    wt: 2:   A Decimal Addition Columm Methods
  537.    wt: 2:   8 Column Multiplication Methods in General
  538.    wt: 2:   7 Decimals Multiplication Methods Examples
  539.    wt: 2:   6 Column Methods for Decimal Multiplication
  540.    wt: 2:   5 Distributive Law for Whole Numbers
  541.    wt: 2:   2 Combing Counts Addition Skills and Principles
  542.    wt: 2:   1 The Counting Origins of Numbers
  543.    wt: 2:   5 Areas of Rectangles Revisited
  544.    wt: 2:   2 Fraction Operations Physical Development
  545.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  546.    wt: 2:   5 Proportionality in Equivalent Fractions
  547.    wt: 2:   2 Algebraic View
  548.    wt: 2:   1 What is Proportionality
  549.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  550.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  551.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  552.    wt: 2:   6 Compound Interest Forward and Backwards
  553.    wt: 2:   5 Triangle Area Formula Backwards
  554.    wt: 2:   2 Linear Equation Literal Solution
  555.    wt: 2:   1 Changing Calculations
  556.    wt: 2:   6 Equations and Systems Equivalent or Implied
  557.    wt: 2:   5 Equality in Algebra
  558.    wt: 2:   2 Addition and Multiplication Axioms
  559.    wt: 2:   1 Equivalent Computation Rules
  560.    wt: 2:   5 Greater More Less Than Signs in General
  561.    wt: 2:   2 More and Less Than for Counts and Measures
  562.    wt: 2:   1 Real Numbers Comparison
  563.    wt: 2:   16 Real Numbers Comparison
  564.    wt: 2:   15 Real Number Division
  565.    wt: 2:   12 Real Number Additive Inverses or Negatives
  566.    wt: 2:   11 Real Number Addition
  567.    wt: 2:   10 Real Number Lengths and Signs
  568.    wt: 2:   9 Coordinates for Regions in Space
  569.    wt: 2:   8 Coordinates for Maps and Planes
  570.    wt: 2:   7 Real Numbers as Line Cordinates
  571.    wt: 2:   6 Unsigned Real Numbers
  572.    wt: 2:   5 Rational Numbers More
  573.    wt: 2:   2 Integers
  574.    wt: 2:   1 Whole and Natural Numbers
  575.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  576.    wt: 2:   11 Volume of Sphere
  577.    wt: 2:   10 Volume of Pyramid
  578.    wt: 2:   9 Volume of Cone
  579.    wt: 2:   8 Compound Interest Formula Evaluation
  580.    wt: 2:   7 Compound Interest Formula Introduction
  581.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  582.    wt: 2:   5 Box Volume Formula Example
  583.    wt: 2:   2 Another Rectangle Area Formula Example
  584.    wt: 2:   1 Written work formats for developing and showing skill
  585.    wt: 2:   6 Three Notions of What is a Variable
  586.    wt: 2:   5 Talking about Numbers and Quantities
  587.    wt: 2:   2 What is a Variable
  588.    wt: 2:   1 Three Skills For Algebra
  589.    wt: 2:   About Folder Contents
  590.    wt: 2:   2 More and Less Than with Unlike Signs
  591.    wt: 2:   5 Square Roots with primes more still
  592.    wt: 2:   2 Square Roots with Prime
  593.    wt: 2:   1 Squares and Square Roots Introduction
  594.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  595.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  596.    wt: 2:   13 GCD from given Prime Factorization
  597.    wt: 2:   5 Common Divisors 60 45 via Prime
  598.    wt: 2:   4 LCM of 8 and 10 via Prime
  599.    wt: 2:   2 Least Common Multiple LCM intro via list method
  600.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  601.    wt: 2:   2 Counting with Tables and Trees I
  602.    wt: 2:   11 What are real lengths and numbers
  603.    wt: 2:   10 dividing signed numbers
  604.    wt: 2:   9 subtracting signed numbers
  605.    wt: 2:   8 multiplying signed numbers
  606.    wt: 2:   7 negative and additive inverse
  607.    wt: 2:   6 adding signed numbers
  608.    wt: 2:   5 lengths and signs of numbers
  609.    wt: 2:   2 signed and unsigned numbers as coordinates
  610.    wt: 2:   7 Converting or Changing Units
  611.    wt: 2:   2 Equality and Units
  612.    wt: 2:   21 Working With Signs
  613.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  614.    wt: 2:   13 Fraction Comparison Algebraic View
  615.    wt: 2:   B Integer Long Division Multiple Choices
  616.    wt: 2:   A Associative Law Theorectical Note
  617.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  618.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  619.    wt: 2:   9 22 Minute Subtraction Review Video
  620.    wt: 2:   5 A Tip for Efficent Subtraction
  621.    wt: 2:   2 Subtraction Easy Case Examples
  622.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  623.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  624.    wt: 2:   8 What skills and work habits to require
  625.    wt: 2:   7 Adding decimal fractions using decimal point
  626.    wt: 2:   6. Counting and adding units and mixed units
  627.    wt: 2:   5. How to add decimals C. Examples
  628.    wt: 2:   2 Decimal Counting Practices
  629.    wt: 2:   1. Explaining Addition Table
  630.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  631.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  632.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  633.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  634.    wt: 2:   Formula Evaluation how to show work
  635.    wt: 2:   Expression Evaluation how to show work
  636.    wt: 2:   013 Travel Time Tables
  637.    wt: 2:   4 Mixing and Changing Units of Time
  638.    wt: 2:   3 Units and Lengths of Time
  639.    wt: 2:   Postscript More on Better Performance
  640.    wt: 2:   Postscript For Better Performance
  641.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  642.    wt: 2:   Chapter 28 Occurrence Tables
  643.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  644.    wt: 2:   Chapter 25. Mathematical Induction Examples
  645.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  646.    wt: 2:   Chapter 21. Third Reading Guide
  647.    wt: 2:   Chapter 20. Degrees and Radians
  648.    wt: 2:   Chapter 19. Functions and Sets
  649.    wt: 2:   Chapter 18. Rules for Algebra
  650.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  651.    wt: 2:   Chapter 16. Painless Theorem Proving
  652.    wt: 2:   Chapter 15. Solving Linear Equations
  653.    wt: 2:   Chapter 12. Shorthand Usage Guide
  654.    wt: 2:   Chapter 11. Why Shorthand
  655.    wt: 2:   Chapter 10 Describing and Changing Calculations
  656.    wt: 2:   Postscript What is a Variable
  657.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  658.    wt: 2:   Chapter 8 Three Skills For Algebra
  659.    wt: 2:   Solutions For Arithmetic Exercises
  660.    wt: 2:   Chapter 6 Change of Language
  661.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  662.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  663.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  664.    wt: 2:   Foreword
  665.    wt: 2:   Postscript B Mathematics Education References
  666.    wt: 2:   Postscript A Three Remarks
  667.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  668.    wt: 2:   D. Check work a must with a caution
  669.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  670.    wt: 2:   Mathematics Education References
  671.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  672.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  673.    wt: 2:   Implementation Notes
  674.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  675.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  676.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  677.    wt: 1:   Appendix 2 primary school Arithmetic 01
  678.    wt: 1:   Appendix 1 primary and preschool mathematic
  679.    wt: 1:   Skills Chapter 2 Geometry
  680.    wt: 1:   Skills Chapter 1 Arithmetic
  681.    wt: 1:   Skills Chapter 0 Introduction
  682.    wt: 1:   2 arithmetic with signed numbers
  683.    wt: 1:   1 arithmetic with unsigned numbers
  684.    wt: 1:   Teach the teachers plus goals
  685.    wt: 1:   permissions for teachers
  686.    wt: 1:   Math Ed if it must be short make it lean effective
  687.    wt: 1:   Applied Maths Program14092009 POMME variant
  688.    wt: 1:   site eurekas
  689.    wt: 1:   Mathematics Education Professors
  690.    wt: 1:   teacher certification
  691.    wt: 1:   learning takes time
  692.    wt: 1:   grouping students according to ability
  693.    wt: 1:   what should be learnt and When
  694.    wt: 1:   mathematics in context
  695.    wt: 1:   Postscript 2007 01 10
  696.    wt: 1:   five decades make a difference
  697.    wt: 1:   how letters appear
  698.    wt: 1:   geometric implications for algebra
  699.    wt: 1:   teaching tutoring algebraic reason
  700.    wt: 1:   05 13 OldSiteEntrancePage
  701.    wt: 1:   04 29 New Mathematics Curriculum
  702.    wt: 1:   04 25 when to stop or suspend mathemat
  703.    wt: 1:   Theory of Knowledge
  704.    wt: 1:   Education in mathematics science and technology
  705.    wt: 1:   Different Kinds of Reasoning in maths
  706.    wt: 1:   Leaner mathematics curriculum
  707.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  708.    wt: 1:   chapitre 04 09 Regles accidentelles
  709.    wt: 1:   chapitre 04 08 Limitations et benefices
  710.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  711.    wt: 1:   chapitre 04 06 engagements
  712.    wt: 1:   chapitre 04 05 Implication versus suggestion
  713.    wt: 1:   chapitre 04 02 Deuxieme enigme
  714.    wt: 1:   chapitre 04 01 Premiere enigme
  715.    wt: 1:   chapitre 04 00 Les regles d implication
  716.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  717.    wt: 1:   liens
  718.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  719.    wt: 1:   4 Energy Power Heat09
  720.    wt: 1:   3 Energy Power Heat08
  721.    wt: 1:   F Wire Resistance Calculation04
  722.    wt: 1:   E Wire Resistance Calculation03
  723.    wt: 1:   B Wire Resistance Qualitative02
  724.    wt: 1:   A Wire Resistance Qualitative01
  725.    wt: 1:   3 Like resistors in parallel
  726.    wt: 1:   C Electromotive force conventional current02
  727.    wt: 1:   B Electromotive force conventional current01
  728.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  729.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  730.    wt: 1:   Ages 12 to 14 Geometry
  731.    wt: 1:   Ages 12 to 14 Arithmetic
  732.    wt: 1:   sign monoticity analysis example 2
  733.    wt: 1:   sign monoticity analysis example 1
  734.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  735.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  736.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  737.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  738.    wt: 1:   1 Calculator Starter Exercises
  739.    wt: 1:   7 Links Lessons Elsewhere
  740.    wt: 1:   4 Polynomials Long division linear divisor
  741.    wt: 1:   3 Polynomials Multiplication Addition
  742.    wt: 1:   14 secant function Definition Graph and Inverse
  743.    wt: 1:   13 cosecant function Definition Graph and Inverse
  744.    wt: 1:   4 possible motivation for term arccos
  745.    wt: 1:   3 Left Inverse of cosine arccos definition
  746.    wt: 1:   4 graphing y=Asin(x c)
  747.    wt: 1:   3 graphing y=f(x c) plus K
  748.    wt: 1:   Triangle Angles Sum To 180 Degrees
  749.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  750.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  751.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  752.    wt: 1:   Straight Lines ASA Intersection Study More
  753.    wt: 1:   Straight Lines ASA Intersection Study
  754.    wt: 1:   Straight Lines Instersection Solving Equations
  755.    wt: 1:   Straight Lines Intersection of
  756.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  757.    wt: 1:   C Straight Lines Slope from Coordinates
  758.    wt: 1:   B Straight Line Slope Scaling Properties More
  759.    wt: 1:   A Straight Line Slope Scaling Properties
  760.    wt: 1:   8 Straight Lines Equation for vertical
  761.    wt: 1:   7 Tangent Function is odd on this domain
  762.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  763.    wt: 1:   5 Tangent Function Graph
  764.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  765.    wt: 1:   1 Straight Lines Slope Concept
  766.    wt: 1:   30 unit circle calculation of six trigonometric functions
  767.    wt: 1:   25 tangent double angle formula Slope connection
  768.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  769.    wt: 1:   16 Right Triangle Complementary Angle Relations
  770.    wt: 1:   15 sine cosine Complementary Angle Relations
  771.    wt: 1:   14 cosine even and sine and tangent are odd
  772.    wt: 1:   13 Graph of tangent function many periods
  773.    wt: 1:   7 period of sine and cosine
  774.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  775.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  776.    wt: 1:   3 Trigonometric Ratios sine and cosine
  777.    wt: 1:   1 Angle Measurement with Degrees
  778.    wt: 1:   8 Similarity of Triangles and Polygons
  779.    wt: 1:   6 Geometric Diagrams in Class
  780.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  781.    wt: 1:   PS E Multiplication with Polar Coordinates
  782.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  783.    wt: 1:   A Measurement with Ruler Proper Use
  784.    wt: 1:   6 Figuring with Maps Not to Scale
  785.    wt: 1:   4 Angles on Maps Plans drawn to scale
  786.    wt: 1:   3 Lengths and Areas on Maps and Plans
  787.    wt: 1:   arithmetic videos Real Player Format
  788.    wt: 1:   1 More and Less Than for Counts and Measures
  789.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  790.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  791.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  792.    wt: 1:   8 GCD from Euclidean Algorithm
  793.    wt: 1:   7 GCD and LCM from prime factorization
  794.    wt: 1:   6 GCD from Prime
  795.    wt: 1:   1 Least Common Multiples LCM Introduction
  796.    wt: 1:   12 GCD 2700 288 via Prime
  797.    wt: 1:   1 Counting and Counting Methods I
  798.    wt: 1:   D Three Term Ratios
  799.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  800.    wt: 1:   B Fractions and Two Term Ratios
  801.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  802.    wt: 1:   22 Complex Compound Fractions
  803.    wt: 1:   21 Reciprocals for Fractions and Wholes
  804.    wt: 1:   20 Dividing Fractions the Why
  805.    wt: 1:   19 Dividing Fractions How TO
  806.    wt: 1:   18 Efficient Ways to Multiply
  807.    wt: 1:   17 Efficient Ways to Add and Subtract
  808.    wt: 1:   16 Addition Subtraction Comparision Compared
  809.    wt: 1:   12 Fraction Comparison
  810.    wt: 1:   11 Simplification an Algebraic View
  811.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  812.    wt: 1:   9 Improper Fractions and Mixed Numbers
  813.    wt: 1:   8 Numerals Fractionals Quantals Take II
  814.    wt: 1:   7 Numerals Fractionals Quantals
  815.    wt: 1:   6 Multiplication of Mixed Numbers
  816.    wt: 1:   6 Multiplication Algebraically Take II
  817.    wt: 1:   5 Equivalent Fractions
  818.    wt: 1:   2 Unit Fraction Multiplication
  819.    wt: 1:   1 What is a fraction Take II
  820.    wt: 1:   1 What is a fraction
  821.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  822.    wt: 1:   D Remainders Modulo 11 Pair Rule
  823.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  824.    wt: 1:   12 Adding Integers More Examples
  825.    wt: 1:   11 Adding Integers Formulas and Examples
  826.    wt: 1:   10 Integer Multiplication Formulas
  827.    wt: 1:   9 Multiplying Integers
  828.    wt: 1:   8 Multiplication by Signed Numbers Integers
  829.    wt: 1:   7 Multiplication by Signs
  830.    wt: 1:   6 Multiplication by Natural Numbers
  831.    wt: 1:   5 Zero Movement and Additive Inverses
  832.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  833.    wt: 1:   1 Integers as Coordinates
  834.    wt: 1:   11 Place Value SI Standard International way
  835.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  836.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  837.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  838.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  839.    wt: 1:   Quick history of numbers and algebra
  840.    wt: 1:   Exact Arithmetic Wholes and Fractions
  841.    wt: 1:   The 20 Times Table
  842.    wt: 1:   The 12 Times Table Visually
  843.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  844.    wt: 1:   About folder contents
  845.    wt: 1:   016 Numbering Occidental Calendar Days
  846.    wt: 1:   015 School and work day counting tables
  847.    wt: 1:   012 Division of Time Intervals by Time Intervals
  848.    wt: 1:   011 Division of Time Intervals By Numbers
  849.    wt: 1:   010 Repeated Addition of Time Intervals
  850.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  851.    wt: 1:   8 Addition of Time Intervals via subtotaling
  852.    wt: 1:   7 Addition of Time Intervals
  853.    wt: 1:   6 How long is a million seconds
  854.    wt: 1:   5 Conversion Arithmetic
  855.    wt: 1:   2 Time and Date Matters in School
  856.    wt: 1:   1 Intro of Kids To Time Date Skills
  857.    wt: 1:   Annotated Links to Material Elsehwere
  858.    wt: 1:   Chapter 12 Four Phases
  859.    wt: 1:   Chapter 11 Elementary Instruction
  860.    wt: 1:   Chapter 10 Transition
  861.    wt: 1:   Chapter 9 The Two Ends
  862.    wt: 1:   Chapter 8 Modern Instruction
  863.    wt: 1:   Chapter 7 Two Treatments of Geometry
  864.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  865.    wt: 1:   Chapter 5 Four References
  866.    wt: 1:   Chapter 2 For and Against Mathematics
  867.    wt: 1:   Chapter 1 Introduction
  868.    wt: 1:   Foreword
  869.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  870.    wt: 1:   Postscript C Consistency as a Tool for Reason
  871.    wt: 1:   Postscript B More on Story Telling and Reason
  872.    wt: 1:   Postscript A Story Telling
  873.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  874.    wt: 1:   Chapter 21 Occurrence Tables
  875.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  876.    wt: 1:   Chapter 18 Sense and Knowledge
  877.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  878.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  879.    wt: 1:   Chapter 15 Objective Processes
  880.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  881.    wt: 1:   Chapter 11 Accidental Patterns
  882.    wt: 1:   Chapter 10 Responsibility
  883.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  884.    wt: 1:   Chapter 8 Change of Language
  885.    wt: 1:   Chapter 7 Longer Chains of Reason
  886.    wt: 1:   Chapter 6 Chains of Reason
  887.    wt: 1:   Chapter 5 Deception
  888.    wt: 1:   Chapter 2 Skill Development
  889.    wt: 1:   Chapter 1 Introduction
  890.    wt: 1:   Three Remarks
  891.    wt: 1:   Foreword
  892.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  893.    wt: 1:   N Mathematics Prepare for College Studies
  894.    wt: 1:   M Words to extend arithmetic
  895.    wt: 1:   L Skills with take home value
  896.    wt: 1:   C. Domino effect of being careful
  897.    wt: 1:   Chapter 8 Skipped Topics and Why
  898.    wt: 1:   Chapter 6 More Algebra and Geometry
  899.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  900.    wt: 1:   Chapter 2 Why Sets
  901.    wt: 1:   Chapter 1 Arithmetic
  902.    wt: 1:   7 Games and Activities for Instruction
  903.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  904.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  905.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  906.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  907.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  908.    wt: 1:   Helping the Blind in Logic and Mathematics
  909.    wt: 1:   Mathematics Education References
  910.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  911.    wt: 1:   Which Way To Go
  912.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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