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

25 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:   5 Lessons on Integration/
  20.    wt: 1:   70 Calculus Starter Lessons/
  21.    wt: 1:   Volume 2 Three Skills For Algebra/
  22.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  23.    wt: 1:   Volume 1A Pattern Based Reason/
  24.    wt: 1:   Volume 1 Elements of Reason/
  25.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

194 matches:

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

Extended Search

551 matches:

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

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.