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

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

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

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

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

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

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

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

Location: Site Entrance << Search

[1] [2] [3]

Key Word Search

Folder Search

28 matches:

  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  4.    wt: 2:   3 Quadratics Geometrically/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   3 Cartesian and Polar Coordinates/
  7.    wt: 2:   3 Prime Factorization Skills/
  8.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  9.    wt: 2:   4 Lessons on Using Derivatives/
  10.    wt: 2:   38 Lessons on Calculating Derivatives/
  11.    wt: 2:   13 Lessons on Limits and Continuity/
  12.    wt: 1:   LAMP Lean Applied Mathematics Program/
  13.    wt: 1:   Volume 1A Regles et modeles/
  14.    wt: 1:   Step 4 Gaussian Elimination/
  15.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  16.    wt: 1:   Step 1 Stick diagram and fractions/
  17.    wt: 1:   3 Solving Linear Equations/
  18.    wt: 1:   C Decimal Multiplication Methods/
  19.    wt: 1:   1 Decimal Place Value/
  20.    wt: 1:   Time Date Matters/
  21.    wt: 1:   Skills with take home value/
  22.    wt: 1:   5 Lessons on Integration/
  23.    wt: 1:   70 Calculus Starter Lessons/
  24.    wt: 1:   Volume 2 Three Skills For Algebra/
  25.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  26.    wt: 1:   Volume 1A Pattern Based Reason/
  27.    wt: 1:   Volume 1 Elements of Reason/
  28.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

198 matches:

  1.    wt: 4:   F.3 Intermediate Value Theorem
  2.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  4.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  5.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  6.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  7.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  8.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  9.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  10.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  11.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  12.    wt: 2:   A Related Material in Volume 3
  13.    wt: 2:   A Related lessons in Volume 3
  14.    wt: 2:   33 Chain Rule Real Player video examples
  15.    wt: 2:   .H1 First Fundamental Theorem of Calculus
  16.    wt: 2:   G.3 Constant Difference Theorem Proof
  17.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  18.    wt: 2:   F.5b Extreme Value Theorem
  19.    wt: 2:   B3 Bolzano Weierstrass Theorem
  20.    wt: 2:   Fall 1983 Calculus Appetizer
  21.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  22.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  23.    wt: 1:   Skills Chapter 5 Calculus
  24.    wt: 1:   Skills Chapter 3 Algebra
  25.    wt: 1:   3 Euclidean Geometry Leanly
  26.    wt: 1:   05 13 OldSiteEntrancePage
  27.    wt: 1:   Operational Viewpoint to Value
  28.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  29.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  30.    wt: 1:   3 Energy Power Heat08
  31.    wt: 1:   C Energy Power03
  32.    wt: 1:   E Wire Resistance Calculation03
  33.    wt: 1:   3 Like resistors in parallel
  34.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  35.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  36.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  37.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  38.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  39.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  40.    wt: 1:   13 Addition and Addition Tables
  41.    wt: 1:   10 Ends values for work study instruction
  42.    wt: 1:   3 Preparing for Science Studies
  43.    wt: 1:   Ages 12 to 14 Skills with take home value
  44.    wt: 1:   Ages 3 plus to 4 plus
  45.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  46.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  47.    wt: 1:   sign monoticity analysis example 3
  48.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  49.    wt: 1:   23 Inverse Functions
  50.    wt: 1:   13 From one to one to many to one
  51.    wt: 1:   3 Formula or function graphing exercise
  52.    wt: 1:   3 quadratics factoring by inspection
  53.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  54.    wt: 1:   3 Polynomials Multiplication Addition
  55.    wt: 1:   13 cosecant function Definition Graph and Inverse
  56.    wt: 1:   3 Left Inverse of cosine arccos definition
  57.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  58.    wt: 1:   2 Radian Measure Numerical Value of one degree
  59.    wt: 1:   13 Velocity Vectors in Physics
  60.    wt: 1:   3 Navigation with Arrows or Vectors
  61.    wt: 1:   3 graphing y=f(x c) plus K
  62.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  63.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  64.    wt: 1:   32 seven rows of pascals triangle
  65.    wt: 1:   31 basic secant cosecant cotangent trig identities
  66.    wt: 1:   30 unit circle calculation of six trigonometric functions
  67.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  68.    wt: 1:   17G Pythagorean Theorem Converse
  69.    wt: 1:   17A The complex number valued trig function cis
  70.    wt: 1:   13 Graph of tangent function many periods
  71.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  72.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  73.    wt: 1:   15 Pythagorean Theorem Converse
  74.    wt: 1:   13 Trig Formulas for dot and cross Products
  75.    wt: 1:   9 The complex number valued trig function cis
  76.    wt: 1:   3 Addition Properties
  77.    wt: 1:   3 Trigonometric Ratios sine and cosine
  78.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  79.    wt: 1:   3 Similarity by Design with coordinates
  80.    wt: 1:   3 Slope product for perpendicular lines
  81.    wt: 1:   13 Pythagorean spatial distance formulas
  82.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  83.    wt: 1:   3 Rectangular Coordinates Review
  84.    wt: 1:   13 Angle Side Angle Failure
  85.    wt: 1:   3 Isometry of Triangles Congruence
  86.    wt: 1:   3 Lengths and Areas on Maps and Plans
  87.    wt: 1:   23 Distributive Law Two Derivations
  88.    wt: 1:   13 Arrows and Vectors in a Plane
  89.    wt: 1:   3 Location of Point in Decimal Multiplication
  90.    wt: 1:   3 Multiplicative Counting Skills Principles
  91.    wt: 1:   3 Inequalities Algebraically
  92.    wt: 1:   3 Proportionality Examples
  93.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  94.    wt: 1:   3 Linear Equation Literal Solution More
  95.    wt: 1:   3 Product Axioms Two Forms
  96.    wt: 1:   3 More and Less Than with Unlike Signs
  97.    wt: 1:   13 Real Number Subtraction
  98.    wt: 1:   3 Fractions
  99.    wt: 1:   3 Geometric Formulas and Function Notation
  100.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  101.    wt: 1:   3 GE III Equation Addition and Multiplication
  102.    wt: 1:   3 Solving triangular system example
  103.    wt: 1:   3 Four Examples
  104.    wt: 1:   3 Two Examples
  105.    wt: 1:   13 Naming Identifying Formulas with Words
  106.    wt: 1:   11 Volume of Sphere
  107.    wt: 1:   10 Volume of Pyramid
  108.    wt: 1:   9 Volume of Cone
  109.    wt: 1:   5 Box Volume Formula Example
  110.    wt: 1:   3 Triangle Area Formula Example
  111.    wt: 1:   3 Counting with Sets etc
  112.    wt: 1:   3 Adding Words To Arithmetic
  113.    wt: 1:   3 Comparison of Negative Numbers
  114.    wt: 1:   3 Properties of Square Roots with example
  115.    wt: 1:   13 GCD from given Prime Factorization
  116.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  117.    wt: 1:   3 Counting with Tables and Trees II
  118.    wt: 1:   3 signed coordinates for maps and planes
  119.    wt: 1:   3 Multiplying Units and Numbers
  120.    wt: 1:   13 Fraction Comparison Algebraic View
  121.    wt: 1:   3 Unit fraction of a fraction
  122.    wt: 1:   13 Subtraction with Additive Inverse
  123.    wt: 1:   3 Adding Movements with same direction
  124.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  125.    wt: 1:   26 Divisibility by 2 3 5 Example
  126.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  127.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  128.    wt: 1:   23 Remainder Arithmetic Modulo 2
  129.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  130.    wt: 1:   21 Remainder Arithmetic Modulo 3
  131.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  132.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  133.    wt: 1:   13 video Factors of 24 using prime
  134.    wt: 1:   10 video Prime Factorization upto 23 squared
  135.    wt: 1:   3 video Primes and Composites from 9 times table
  136.    wt: 1:   Long Division forwards and backwards Example 3
  137.    wt: 1:   3 Division Single Digit Divisor Example
  138.    wt: 1:   3 More One Digit Multipliers
  139.    wt: 1:   1 Why 3 times 5 gives 15
  140.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  141.    wt: 1:   3. How to add with decimals A sans conversions
  142.    wt: 1:   11 Place Value SI Standard International way
  143.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  144.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  145.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  146.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  147.    wt: 1:   013 Travel Time Tables
  148.    wt: 1:   3 Units and Lengths of Time
  149.    wt: 1:   Example 2 volume of a cone
  150.    wt: 1:   Example 1 volume of a pyramid
  151.    wt: 1:   Volume of Solid by Cross Sections Lesson
  152.    wt: 1:   Example 3
  153.    wt: 1:   3 Two Chain Rule Method Exercises
  154.    wt: 1:   3 Second derivative test
  155.    wt: 1:   38 Formulas and derivatives for powers and roots
  156.    wt: 1:   36 Cube root derivative animated
  157.    wt: 1:   34 Derivative of exponential function
  158.    wt: 1:   31 Derivatives of inverse functions
  159.    wt: 1:   30Chain Rule A Proof
  160.    wt: 1:   23 Chain Rule in general
  161.    wt: 1:   15 sine and cosine derivatives 3rd step
  162.    wt: 1:   13 sine and cosine derivatives 1st step
  163.    wt: 1:   3 Motivation for Limit Definition Take 2
  164.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  165.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  166.    wt: 1:   10 Three one sided limits with infinite values
  167.    wt: 1:   3 Decimal insights for limits continuity convergence
  168.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  169.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  170.    wt: 1:   F.5a Equicontinuity Theorems
  171.    wt: 1:   F.4 Finite Covering Theorem
  172.    wt: 1:   F.2 Closed Range Theorem
  173.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  174.    wt: 1:   Chapter 23 Links To Trigonometry
  175.    wt: 1:   Chapter 13. Acceleration
  176.    wt: 1:   Chapter 9 About First Courses in Calculus
  177.    wt: 1:   Chapter 3. Slope Sign Analysis
  178.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  179.    wt: 1:   Chapter 31 Direct and Indirect Reason
  180.    wt: 1:   Chapter 30 Truth Tables
  181.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  182.    wt: 1:   Chapter 23. Notation For Sums
  183.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  184.    wt: 1:   Chapter 16. Painless Theorem Proving
  185.    wt: 1:   Chapter 13. Second Reading Guide
  186.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  187.    wt: 1:   Chapter 3 Chains of Reason
  188.    wt: 1:   Chapter 3 Algebra Difficulties
  189.    wt: 1:   Chapter 23 Truth Tables
  190.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  191.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  192.    wt: 1:   L Skills with take home value
  193.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  194.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  195.    wt: 1:   More Algebra and Slope based Calculus Preview
  196.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  197.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  198.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

558 matches:

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

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

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.

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

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.