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

83 matches:

  1.    wt: 9:   11 Parallel Straight Lines and Transversals/
  2.    wt: 9:   6 More Less Greater Than Inequalities and Comparison/
  3.    wt: 9:   Step 4 Gaussian Elimination/
  4.    wt: 9:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 8:   LAMP Lean Applied Mathematics Program/
  6.    wt: 8:   5 Factored Polynomial Sign Analysis Examples/
  7.    wt: 8:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 8:   9 Proportionality Backwards and Forwards/
  9.    wt: 8:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 8:   A Decimal Counting and Adding Methods/
  12.    wt: 8:   Volume 3 Why Slopes A Calculus Intro Etc/
  13.    wt: 7:   3 Quadratics Geometrically/
  14.    wt: 7:   12 Function Translating and Rescaling/
  15.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  16.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  17.    wt: 7:   1 Maps Plans Measurement/
  18.    wt: 7:   10 Examples of Algebraic Reasoning/
  19.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  20.    wt: 7:   2 Formula Forward Use Evaluation/
  21.    wt: 7:   3 Prime Factorization Skills/
  22.    wt: 7:   C Decimal Multiplication Methods/
  23.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  24.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  25.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
  26.    wt: 6:   5 What is Similarity/
  27.    wt: 6:   4 Lines and Slopes Take 1/
  28.    wt: 6:   4 Computation Rules and Function Notation/
  29.    wt: 6:   3 Solving Linear Equations/
  30.    wt: 6:   12 Comparison of Unsigned and Signed Numbers/
  31.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  32.    wt: 6:   D Decimal Long Division Methods/
  33.    wt: 6:   38 Lessons on Calculating Derivatives/
  34.    wt: 5:   Mathematics Education Essays/
  35.    wt: 5:   13 Vectors/
  36.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  37.    wt: 5:   B Real Numbers Extrinsic Development/
  38.    wt: 5:   A Origins of Counting and Figuring Methods/
  39.    wt: 5:   8 Unifying Theme For Algebra/
  40.    wt: 5:   5 Real Numbers/
  41.    wt: 5:   11 Squares and Square Roots/
  42.    wt: 5:   9 Combinatorics Trees Tables and Products/
  43.    wt: 5:   7 Arithmetic and Fractions with Units/
  44.    wt: 5:   6 Fractions and Ratios/
  45.    wt: 5:   1 Decimal Place Value/
  46.    wt: 5:   Advanced Calculus Volume 3 Appendices/
  47.    wt: 5:   Volume 1A Pattern Based Reason/
  48.    wt: 4:   Volume 1A Regles et modeles/
  49.    wt: 4:   Mathematics Skills Year by Year/
  50.    wt: 4:   1 Five Polynomial Operations/
  51.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  52.    wt: 4:   7 Complex Numbers/
  53.    wt: 4:   6 Trigonometry first steps/
  54.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  55.    wt: 4:   8 Arithmetic with Signed Numbers/
  56.    wt: 4:   2 Arithmetic with Decimals/
  57.    wt: 4:   Time Date Matters/
  58.    wt: 4:   4 Lessons on Using Derivatives/
  59.    wt: 4:   13 Lessons on Limits and Continuity/
  60.    wt: 4:   Mathematics 506 Lessons/
  61.    wt: 4:   Mathematics Skill Development Framework/
  62.    wt: 3:   francais/
  63.    wt: 3:   8 Unit Circle Trigonometry/
  64.    wt: 3:   Geometry maps plans trigonometry vectors/
  65.    wt: 3:   1 Working With Sets/
  66.    wt: 3:   Algebra Starter Lessons/
  67.    wt: 3:   5 Lessons on Integration/
  68.    wt: 2:   4 Functions/
  69.    wt: 2:   More Algebra/
  70.    wt: 2:   5 Integers/
  71.    wt: 2:   Arithmetic and Number Theory Skills/
  72.    wt: 2:   Skills with take home value/
  73.    wt: 2:   70 Calculus Starter Lessons/
  74.    wt: 2:   Volume 2 Three Skills For Algebra/
  75.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  76.    wt: 2:   Work and Study Tips/
  77.    wt: 2:   Resources and Reciprocal Links/
  78.    wt: 2:   Quebec Material/
  79.    wt: 1:   Archives/
  80.    wt: 1:   Parent Center/
  81.    wt: 1:   Volume 1 Elements of Reason/
  82.    wt: 10:   3 Cartesian and Polar Coordinates/
  83.    wt: 10:   Step 1 Stick diagram and fractions/

Web Page Search

1071 matches:

  1.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 8:   13 Pythagorean spatial distance formulas
  3.    wt: 8:   3 Lengths and Areas on Maps and Plans
  4.    wt: 8:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  5.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  6.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  7.    wt: 7:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  8.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  9.    wt: 7:   14 Why Scalar Multiplication Distributes Physical Argument
  10.    wt: 7:   Parallel Lines and Parallel Transversals
  11.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  12.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  13.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  14.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  15.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  16.    wt: 7:   Long Division forwards and backwards Example 3
  17.    wt: 7:   11 Place Value SI Standard International way
  18.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
  19.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  20.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  21.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  22.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  23.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  24.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  25.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  26.    wt: 6:   8 quadratics backward use of various formulas
  27.    wt: 6:   5 Natural Logarithm Calculator Exercises
  28.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  30.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  31.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  32.    wt: 6:   29 secant cosecant and cotangent for acute angles
  33.    wt: 6:   10 Pythagorean plane distance formula
  34.    wt: 6:   5 Cartesian Addition and Translation
  35.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  36.    wt: 6:   4 Angles on Maps Plans drawn to scale
  37.    wt: 6:   15 Head to Tails in place Addition Associative
  38.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  39.    wt: 6:   5 Triangle Area Formula Backwards
  40.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  41.    wt: 6:   3 Triangle Area Formula Example
  42.    wt: 6:   2 Another Rectangle Area Formula Example
  43.    wt: 6:   3 signed coordinates for maps and planes
  44.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  45.    wt: 6:   13 Fraction Comparison Algebraic View
  46.    wt: 6:   8 Numerals Fractionals Quantals Take II
  47.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  48.    wt: 6:   5 Prime Factorization and a Square Rule
  49.    wt: 6:   Long Division forwards and backwards Example 2
  50.    wt: 6:   Long Division forwards and backwards Example 1
  51.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  52.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  53.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  54.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  55.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  56.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  57.    wt: 6:   33 Chain Rule Real Player video examples
  58.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  59.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  60.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  61.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  62.    wt: 6:   Chapter 2 For and Against Mathematics
  63.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  64.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  65.    wt: 6:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  66.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  67.    wt: 5:   Appendix 1 primary and preschool mathematic
  68.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  69.    wt: 5:   Ramblings Introduction Algebra Essay
  70.    wt: 5:   Applied Maths Program14092009 POMME variant
  71.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  72.    wt: 5:   chapitre 06 00 Chaines de la raison
  73.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  74.    wt: 5:   E Wire Resistance Calculation03
  75.    wt: 5:   A Wire Resistance Qualitative01
  76.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  77.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  78.    wt: 5:   13 Addition and Addition Tables
  79.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  80.    wt: 5:   sign monoticity analysis example 3
  81.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  82.    wt: 5:   17 Function maxima minima and their location
  83.    wt: 5:   6 quadratics numerical approach
  84.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
  85.    wt: 5:   9 Summary Degrees to Radians and back
  86.    wt: 5:   7 Radian Measures in special Triangles
  87.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  88.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  89.    wt: 5:   2 Radian Measure Numerical Value of one degree
  90.    wt: 5:   A Global Time and Navigation
  91.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  92.    wt: 5:   31 basic secant cosecant cotangent trig identities
  93.    wt: 5:   18 sum of sinusoidal waves as a single wave
  94.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  95.    wt: 5:   7 Translations Rotations Reflections Dilatations
  96.    wt: 5:   PS D Addition with Cartesian Coordinates
  97.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  98.    wt: 5:   A Modular and Remainder Arithmetic
  99.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  100.    wt: 5:   13 Arrows and Vectors in a Plane
  101.    wt: 5:   B Decimal Comparison and Subtraction
  102.    wt: 5:   3 Inequalities Algebraically
  103.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  104.    wt: 5:   8 Coordinates for Maps and Planes
  105.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  106.    wt: 5:   3 GE III Equation Addition and Multiplication
  107.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  108.    wt: 5:   5 Talking about Numbers and Quantities
  109.    wt: 5:   4 A Brief Story of numbers and algebra
  110.    wt: 5:   3 Comparison of Negative Numbers
  111.    wt: 5:   11 What are real lengths and numbers
  112.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  113.    wt: 5:   16 Addition Subtraction Comparision Compared
  114.    wt: 5:   7 Numerals Fractionals Quantals
  115.    wt: 5:   6 Multiplication Algebraically Take II
  116.    wt: 5:   1 What is a fraction Take II
  117.    wt: 5:   A Associative Law Theorectical Note
  118.    wt: 5:   10 video Prime Factorization upto 23 squared
  119.    wt: 5:   7 Calculator Usage Notes and Cautions
  120.    wt: 5:   A Elementary Basis for Multiplication Methods
  121.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  122.    wt: 5:   3. How to add with decimals A sans conversions
  123.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  124.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  125.    wt: 5:   Quick history of numbers and algebra
  126.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  127.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  128.    wt: 5:   Example 1. Area Between x and x squared
  129.    wt: 5:   A Related Material in Volume 3
  130.    wt: 5:   A Chain Rule Real Player video examples
  131.    wt: 5:   38 Formulas and derivatives for powers and roots
  132.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  133.    wt: 5:   Chapter 18. Slopes Areas Integration
  134.    wt: 5:   Chapter 17. Area Approximation
  135.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  136.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  137.    wt: 5:   Chapter 3. Slope Sign Analysis
  138.    wt: 5:   Fall 1983 Calculus Appetizer
  139.    wt: 5:   Appendix E. How To Study Mathematics and Why
  140.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  141.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  142.    wt: 5:   Chapter 25. Mathematical Induction Examples
  143.    wt: 5:   Chapter 25. Mathematical Induction Examples
  144.    wt: 5:   Chapter 10 Describing and Changing Calculations
  145.    wt: 5:   Chapter 9 Talking about Numbers or Quantities
  146.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  147.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  148.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  149.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  150.    wt: 5:   Chapter 17 Objective Ways Trial and Error Discovery
  151.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  152.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  153.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  154.    wt: 5:   Chapter 3 What is in chapters 4 to 8
  155.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  156.    wt: 5:   More Algebra and Slope based Calculus Preview
  157.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  158.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  159.    wt: 4:   E LAMP Introduction Modern Mathematics
  160.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  161.    wt: 4:   Skills Chapter 3 Algebra
  162.    wt: 4:   7 logic review and decimals an odd combination
  163.    wt: 4:   5 logarithms and exponentials etc
  164.    wt: 4:   Maps Plans Drawings
  165.    wt: 4:   talk the algebra talk
  166.    wt: 4:   teaching tutoring algebraic reason
  167.    wt: 4:   three goals for Mathematics Education
  168.    wt: 4:   standards for course material
  169.    wt: 4:   Education in mathematics science and technology
  170.    wt: 4:   education an empirical art
  171.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  172.    wt: 4:   2 Conductance Resistance Duality02
  173.    wt: 4:   1 Conductance Resistance Duality01
  174.    wt: 4:   F Wire Resistance Calculation04
  175.    wt: 4:   D Wire Resistance Calculation02
  176.    wt: 4:   C Wire Resistance Calculation01
  177.    wt: 4:   B Wire Resistance Qualitative02
  178.    wt: 4:   3 Like resistors in parallel
  179.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  180.    wt: 4:   16 Secondary Mathematics Tips
  181.    wt: 4:   12 Goals and Objectives For Mathematics
  182.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  183.    wt: 4:   5 Patience Please for Yourself and Your Charges
  184.    wt: 4:   sign monoticity analysis example 4
  185.    wt: 4:   sign monoticity analysis example 2
  186.    wt: 4:   sign monoticity analysis example 1
  187.    wt: 4:   11 Function Domain Range Source and Targets
  188.    wt: 4:   6 Set Existence Formation and Notation
  189.    wt: 4:   4 Function notation in and beyond mathematics
  190.    wt: 4:   3 Formula or function graphing exercise
  191.    wt: 4:   A Quadratics Summary
  192.    wt: 4:   9 quadratics physical and further context
  193.    wt: 4:   7 quadratic formulla derivation
  194.    wt: 4:   3 quadratics factoring by inspection
  195.    wt: 4:   2 quadratics graphing in general
  196.    wt: 4:   1 quadratics graphing exercises
  197.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  198.    wt: 4:   1 Calculator Starter Exercises
  199.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  200.    wt: 4:   4 Polynomials Long division linear divisor
  201.    wt: 4:   3 Polynomials Multiplication Addition
  202.    wt: 4:   13 cosecant function Definition Graph and Inverse
  203.    wt: 4:   11 arctan left inverse of tangent Graph
  204.    wt: 4:   5 Swapping Coordinates is a reflection
  205.    wt: 4:   8 Radian Measures of Common Angles
  206.    wt: 4:   1 Degrees and Radians Introduction
  207.    wt: 4:   10 Parallelogram Addition Method
  208.    wt: 4:   5 Head To Tail Arrow Addition
  209.    wt: 4:   3 Navigation with Arrows or Vectors
  210.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  211.    wt: 4:   Parallel Lines and Interior Angles
  212.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  213.    wt: 4:   14 Straight Lines Equations General Case
  214.    wt: 4:   7 Tangent Function is odd on this domain
  215.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  216.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  217.    wt: 4:   32 seven rows of pascals triangle
  218.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  219.    wt: 4:   21 sine and cosine Half Angle Formulas
  220.    wt: 4:   17D cis formulas for sine cosines and tangent
  221.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  222.    wt: 4:   16 Right Triangle Complementary Angle Relations
  223.    wt: 4:   14 cosine even and sine and tangent are odd
  224.    wt: 4:   13 Graph of tangent function many periods
  225.    wt: 4:   12 cis formulas for sine cosines and tangent
  226.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  227.    wt: 4:   5 An Easy Proof of the Distributive Law
  228.    wt: 4:   1 Rectangular Polar Coordinates Review
  229.    wt: 4:   Appetizer A Complex Number Applet
  230.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  231.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  232.    wt: 4:   9 Similarity of Triangles Usual Criteria
  233.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  234.    wt: 4:   11 A Partial Summary
  235.    wt: 4:   What is and is not here
  236.    wt: 4:   6 Polar Multiplication and Rotation
  237.    wt: 4:   3 Rectangular Coordinates Review
  238.    wt: 4:   1 Cartesian Coordinates sans signs
  239.    wt: 4:   PS H Distributive Law For Complex Numbers
  240.    wt: 4:   PS G Rotation Distributes over Addition
  241.    wt: 4:   PS E Multiplication with Polar Coordinates
  242.    wt: 4:   PS B Parallelogram Construction Methods
  243.    wt: 4:   13 Angle Side Angle Failure
  244.    wt: 4:   6 Ruler and compass Angle Bisection
  245.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  246.    wt: 4:   26 More Less Greater Than Comparison
  247.    wt: 4:   23 Distributive Law Two Derivations
  248.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  249.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  250.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  251.    wt: 4:   8 Division and Mulplication of Compound Fractions
  252.    wt: 4:   3 Location of Point in Decimal Multiplication
  253.    wt: 4:   5 Areas of Rectangles Revisited
  254.    wt: 4:   4 Fraction Operations Axiomatic Development
  255.    wt: 4:   4 Rates Ratios and Proporitionality
  256.    wt: 4:   6 Compound Interest Forward and Backwards
  257.    wt: 4:   3 Linear Equation Literal Solution More
  258.    wt: 4:   4 Subtraction and Division Axioms
  259.    wt: 4:   2 Addition and Multiplication Axioms
  260.    wt: 4:   4 Comparison of Negative Numbers
  261.    wt: 4:   2 More and Less Than for Counts and Measures
  262.    wt: 4:   1 Real Numbers Comparison
  263.    wt: 4:   16 Real Numbers Comparison
  264.    wt: 4:   7 Real Numbers as Line Cordinates
  265.    wt: 4:   1 Whole and Natural Numbers
  266.    wt: 4:   3 Geometric Formulas and Function Notation
  267.    wt: 4:   4 Solving a triangular system exercise
  268.    wt: 4:   3 Solving triangular system example
  269.    wt: 4:   4 Circle Area Formula Example
  270.    wt: 4:   9 Sets in Probability and Statistics
  271.    wt: 4:   6 Three Notions of What is a Variable
  272.    wt: 4:   2 What is a Variable
  273.    wt: 4:   arithmetic videos Real Player Format
  274.    wt: 4:   1 More and Less Than for Counts and Measures
  275.    wt: 4:   1 Squares and Square Roots Introduction
  276.    wt: 4:   13 GCD from given Prime Factorization
  277.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  278.    wt: 4:   7 GCD and LCM from prime factorization
  279.    wt: 4:   2 Least Common Multiple LCM intro via list method
  280.    wt: 4:   2 signed and unsigned numbers as coordinates
  281.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  282.    wt: 4:   17 Efficient Ways to Add and Subtract
  283.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  284.    wt: 4:   14 Adding and Subtracting with Like Denominators
  285.    wt: 4:   11 Simplification an Algebraic View
  286.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  287.    wt: 4:   3 Unit fraction of a fraction
  288.    wt: 4:   1 What is a fraction
  289.    wt: 4:   11 Adding Integers Formulas and Examples
  290.    wt: 4:   6 Multiplication by Natural Numbers
  291.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  292.    wt: 4:   18 video Count Factors given Prime Factorization
  293.    wt: 4:   15 video Factors of 20 using Prime Factorization
  294.    wt: 4:   9 video Prime Factorization upto 19 squared
  295.    wt: 4:   4 video Prime Factorization Introduction
  296.    wt: 4:   7 Long Divison Mistake Catching
  297.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  298.    wt: 4:   3 Division Single Digit Divisor Example
  299.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  300.    wt: 4:   2 Subtraction Easy Case Examples
  301.    wt: 4:   7 Adding decimal fractions using decimal point
  302.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  303.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  304.    wt: 4:   Exact Arithmetic Wholes and Fractions
  305.    wt: 4:   016 Numbering Occidental Calendar Days
  306.    wt: 4:   8 Addition of Time Intervals via subtotaling
  307.    wt: 4:   4 Definite Integrals Evaluation Exercises
  308.    wt: 4:   36 Cube root derivative animated
  309.    wt: 4:   28 Chain Rule Preparation for a Proof
  310.    wt: 4:   25 Chain Rule Animated Examples Continued
  311.    wt: 4:   24 Chain Rule Animated Examples
  312.    wt: 4:   7 Animated Differentiation Examples
  313.    wt: 4:   7 Evaluation by immediate or delayed substitution
  314.    wt: 4:   .H2 Lipshitz Conditions Integration Calculus Reform
  315.    wt: 4:   B3 Bolzano Weierstrass Theorem
  316.    wt: 4:   PostScript For and Against Decimal Perspectives
  317.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  318.    wt: 4:   Chapter 13. Acceleration
  319.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  320.    wt: 4:   Chapter 4. More Slope Sign Analysis
  321.    wt: 4:   Chapter 2. Slopes and Ski Trails
  322.    wt: 4:   Appendix D. What to do in School and Why
  323.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  324.    wt: 4:   Chapter 31 Direct and Indirect Reason
  325.    wt: 4:   Chapter 20. Degrees and Radians
  326.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  327.    wt: 4:   Postscript What is a Variable
  328.    wt: 4:   Chapter 7 Prep for Calculus Arithmetic Exercises
  329.    wt: 4:   Chapter 6 Change of Language
  330.    wt: 4:   Chapter 3 Chains of Reason
  331.    wt: 4:   Annotated Links to Material Elsehwere
  332.    wt: 4:   Chapter 3 Algebra Difficulties
  333.    wt: 4:   Postscript C Consistency as a Tool for Reason
  334.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  335.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  336.    wt: 4:   Chapter 11 Accidental Patterns
  337.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  338.    wt: 4:   Chapter 8 Change of Language
  339.    wt: 4:   R Why Learn Mathematics Skills
  340.    wt: 4:   O On Learning Mathematics and Science
  341.    wt: 4:   H Jigsaw puzzles and problem solving
  342.    wt: 4:   Systematic Algebra Skill Development Missing Links
  343.    wt: 3:   Appendix 2 primary school Arithmetic 01
  344.    wt: 3:   I LAMP Introduction Study Habits
  345.    wt: 3:   H LAMP Introduction Instructional Concepts
  346.    wt: 3:   F LAMP Introduction Prerequisites
  347.    wt: 3:   8 analytic geometry etc
  348.    wt: 3:   3 Euclidean Geometry Leanly
  349.    wt: 3:   Teach the teachers plus goals
  350.    wt: 3:   Math Ed if it must be short make it lean effective
  351.    wt: 3:   Mathematics Education Professors
  352.    wt: 3:   what should be learnt and When
  353.    wt: 3:   five decades make a difference
  354.    wt: 3:   Secondary Three Mathematics
  355.    wt: 3:   Secondary Two Mathematics
  356.    wt: 3:   Secondary One Mathematics
  357.    wt: 3:   geometric implications for algebra
  358.    wt: 3:   05 13 OldSiteEntrancePage
  359.    wt: 3:   02 20 mathematics education references
  360.    wt: 3:   three aims for mathematics students
  361.    wt: 3:   Operational Viewpoint to Value
  362.    wt: 3:   mathematics instruction in general
  363.    wt: 3:   three kinds of reason in mathematics
  364.    wt: 3:   need for a mixed mathematics curriculum
  365.    wt: 3:   Leaner mathematics curriculum
  366.    wt: 3:   chapitre 07 01 principle D induction mathematique
  367.    wt: 3:   chapitre 04 04 Parlons de la logique
  368.    wt: 3:   chapitre 02 00 La Communication des idees
  369.    wt: 3:   Trois Notions qui menent a algebre
  370.    wt: 3:   2 Unlike resistors in parallel01
  371.    wt: 3:   24 Standards For Skill Develoment Take II
  372.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  373.    wt: 3:   18 Primary School Mathematics
  374.    wt: 3:   17 Math Booklets for children and young teenagers
  375.    wt: 3:   14 Multiplication and Times Tables
  376.    wt: 3:   4 Learning Takes Time and Effort
  377.    wt: 3:   Ages 12 to 14 Skills with take home value
  378.    wt: 3:   22 Square Root function graphically
  379.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  380.    wt: 3:   20 Interchanging coordinates a reflection
  381.    wt: 3:   19 Horizontal line rule and method
  382.    wt: 3:   16 Increasing or decreasing on intervals
  383.    wt: 3:   15 Sign analysis of functions
  384.    wt: 3:   5 Function notation for geometric transformations
  385.    wt: 3:   2 Algebraic use of function notation
  386.    wt: 3:   10 quadratic exercises
  387.    wt: 3:   5 quadratics completing the square
  388.    wt: 3:   4 quadratics difference of two squares
  389.    wt: 3:   Quadratics in 10 steps
  390.    wt: 3:   10 Exponential Growth and Decay Models
  391.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  392.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  393.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  394.    wt: 3:   2 Square Root Simplification a prequel
  395.    wt: 3:   1 Polynomials Distributive Law
  396.    wt: 3:   Rewriting algebraic substitution as function substitutions
  397.    wt: 3:   16 cotangent function Definition Graph and Inverse
  398.    wt: 3:   15 cosecant function Definition Graph and Inverse
  399.    wt: 3:   14 secant function Definition Graph and Inverse
  400.    wt: 3:   12 motivation for term arctan
  401.    wt: 3:   10 arctan left inverse of tangent Definition
  402.    wt: 3:   9 motivation for name arcsin
  403.    wt: 3:   6 Radian Measure to Degrees
  404.    wt: 3:   5 Degrees to Radian Measure
  405.    wt: 3:   12 From Applied To Pure Mathematics
  406.    wt: 3:   9 Head to Tail Coordinate View
  407.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  408.    wt: 3:   Straight Lines ASA Intersection Study More
  409.    wt: 3:   Straight Lines ASA Intersection Study
  410.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  411.    wt: 3:   A Straight Line Slope Scaling Properties
  412.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  413.    wt: 3:   8 Straight Lines Equation for vertical
  414.    wt: 3:   17 tangent function angle sum formulas
  415.    wt: 3:   30 unit circle calculation of six trigonometric functions
  416.    wt: 3:   25 tangent double angle formula Slope connection
  417.    wt: 3:   24 tangent Angle Difference Formula
  418.    wt: 3:   20 sine and cosine Double Angle Formulas
  419.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  420.    wt: 3:   17C sine and cosine double triple angle formulas
  421.    wt: 3:   17A The complex number valued trig function cis
  422.    wt: 3:   15 sine cosine Complementary Angle Relations
  423.    wt: 3:   11 tangent function undefined when terminal side vertical
  424.    wt: 3:   10 Graphs of sines and cosines many periods
  425.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  426.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  427.    wt: 3:   2 Quadrant I reference Angles
  428.    wt: 3:   21 Logarithms Powers and Exponentials
  429.    wt: 3:   13 Trig Formulas for dot and cross Products
  430.    wt: 3:   11 sine and cosine double triple angle formulas
  431.    wt: 3:   7 Second Way to Calculate Products
  432.    wt: 3:   2 Complex Numbers made easier we hope
  433.    wt: 3:   8 Triangles Cascade Problem Solving
  434.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  435.    wt: 3:   3 Trigonometric Ratios sine and cosine
  436.    wt: 3:   Why Trigonometry the whyslopes view
  437.    wt: 3:   11 Triangle Similarity Missing Side Problem
  438.    wt: 3:   8 Similarity of Triangles and Polygons
  439.    wt: 3:   6 Geometric Diagrams in Class
  440.    wt: 3:   3 Similarity by Design with coordinates
  441.    wt: 3:   1 Early Concept of Like or Similar Shapes
  442.    wt: 3:   10 Midpoint of [a b] and [b a]
  443.    wt: 3:   7 Exercises to test skill and concept mastery
  444.    wt: 3:   5 Algebraic View of Slopes
  445.    wt: 3:   1 Numerical view of lines and their equations
  446.    wt: 3:   12 Spatial Coordinates
  447.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  448.    wt: 3:   8 Distance Between Points on a Line
  449.    wt: 3:   7 Complex Numbers Appetizer
  450.    wt: 3:   4 Polar Coordinates to and from
  451.    wt: 3:   2 Cartesian Coordinates with signs
  452.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  453.    wt: 3:   21 Parallelograms
  454.    wt: 3:   18 Triangle Similarity Take 1
  455.    wt: 3:   16 Angles Subtended By Chords and Diameters
  456.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  457.    wt: 3:   14 Parallel Lines Postulate
  458.    wt: 3:   3 Isometry of Triangles Congruence
  459.    wt: 3:   6 Figuring with Maps Not to Scale
  460.    wt: 3:   2 Measuring Area Directly
  461.    wt: 3:   musings do not puiblish real numbers
  462.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  463.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  464.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  465.    wt: 3:   12 Real Numbers Line Signed Coordinates
  466.    wt: 3:   11 Signed Number Addition and Addition Properties
  467.    wt: 3:   9 Division with Digits after Decimal Point
  468.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  469.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  470.    wt: 3:   4 Location of Point in Decimal Addition
  471.    wt: 3:   1 Fractions with Finite Decimal Expansions
  472.    wt: 3:   A Decimal Addition Columm Methods
  473.    wt: 3:   7 Decimals Multiplication Methods Examples
  474.    wt: 3:   5 Distributive Law for Whole Numbers
  475.    wt: 3:   4 Commutative Law Groups Counting Form
  476.    wt: 3:   2 Fraction Operations Physical Development
  477.    wt: 3:   5 Proportionality in Equivalent Fractions
  478.    wt: 3:   3 Proportionality Examples
  479.    wt: 3:   1 What is Proportionality
  480.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  481.    wt: 3:   2 Linear Equation Literal Solution
  482.    wt: 3:   1 Changing Calculations
  483.    wt: 3:   6 Equations and Systems Equivalent or Implied
  484.    wt: 3:   5 Equality in Algebra
  485.    wt: 3:   5 Greater More Less Than Signs in General
  486.    wt: 3:   3 More and Less Than with Unlike Signs
  487.    wt: 3:   13 Real Number Subtraction
  488.    wt: 3:   12 Real Number Additive Inverses or Negatives
  489.    wt: 3:   5 Rational Numbers More
  490.    wt: 3:   4 Rational Numbers
  491.    wt: 3:   2 Computation Rules Evaluation
  492.    wt: 3:   1 Formulas Dependence and Function Notation
  493.    wt: 3:   4 GE III Animated Examples
  494.    wt: 3:   6 Algebraic Solution Example
  495.    wt: 3:   5 Algebraic Solutions Introduction
  496.    wt: 3:   4 Four Examples Fractional Coefficients
  497.    wt: 3:   Formula Usage Show Work Format
  498.    wt: 3:   13 Naming Identifying Formulas with Words
  499.    wt: 3:   8 Compound Interest Formula Evaluation
  500.    wt: 3:   3 Adding Words To Arithmetic
  501.    wt: 3:   4 Greater More Less Than Signs in General
  502.    wt: 3:   3 Properties of Square Roots with example
  503.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  504.    wt: 3:   3 Counting with Tables and Trees II
  505.    wt: 3:   7 negative and additive inverse
  506.    wt: 3:   3 Multiplying Units and Numbers
  507.    wt: 3:   1 Addition and Subtraction with Units
  508.    wt: 3:   B Fractions and Two Term Ratios
  509.    wt: 3:   21 Reciprocals for Fractions and Wholes
  510.    wt: 3:   12 Fraction Comparison
  511.    wt: 3:   9 Improper Fractions and Mixed Numbers
  512.    wt: 3:   13 Subtraction with Additive Inverse
  513.    wt: 3:   5 Zero Movement and Additive Inverses
  514.    wt: 3:   3 Adding Movements with same direction
  515.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  516.    wt: 3:   26 Divisibility by 2 3 5 Example
  517.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  518.    wt: 3:   23 Remainder Arithmetic Modulo 2
  519.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  520.    wt: 3:   21 Remainder Arithmetic Modulo 3
  521.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  522.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  523.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  524.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  525.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  526.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  527.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  528.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  529.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  530.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  531.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  532.    wt: 3:   20 Uniqueness of Prime Factorization
  533.    wt: 3:   19 video Prime Factorization Unique
  534.    wt: 3:   8 video Prime Factorization upto 19
  535.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  536.    wt: 3:   3 video Primes and Composites from 9 times table
  537.    wt: 3:   1 video how Products are bigger than factor
  538.    wt: 3:   Long Division Backwards more
  539.    wt: 3:   Long Division Backward
  540.    wt: 3:   12 Why Long Division Works Take III
  541.    wt: 3:   11 Another Single Digit Divisor Example
  542.    wt: 3:   10 Division by Five Long and Short Ways
  543.    wt: 3:   9 Why Long Division Works Take II
  544.    wt: 3:   5 Decimal Fraction Multiplication
  545.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  546.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  547.    wt: 3:   Video Power Notation in Decimal Expansion
  548.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  549.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  550.    wt: 3:   8 What skills and work habits to require
  551.    wt: 3:   6. Counting and adding units and mixed units
  552.    wt: 3:   5. How to add decimals C. Examples
  553.    wt: 3:   1. Explaining Addition Table
  554.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  555.    wt: 3:   Formula Evaluation how to show work
  556.    wt: 3:   The 12 Times Table Visually
  557.    wt: 3:   015 School and work day counting tables
  558.    wt: 3:   014 Counting Days with Calendars
  559.    wt: 3:   013 Travel Time Tables
  560.    wt: 3:   012 Division of Time Intervals by Time Intervals
  561.    wt: 3:   011 Division of Time Intervals By Numbers
  562.    wt: 3:   010 Repeated Addition of Time Intervals
  563.    wt: 3:   2 Time and Date Matters in School
  564.    wt: 3:   Example 1 volume of a pyramid
  565.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  566.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  567.    wt: 3:   Area Between Curves Lesson Take 2
  568.    wt: 3:   Area Between Curves Lesson Take 1
  569.    wt: 3:   5 Area Under Curve Exercise
  570.    wt: 3:   3 Two Chain Rule Method Exercises
  571.    wt: 3:   A Related lessons in Volume 3
  572.    wt: 3:   4 Second derivative test exercise example
  573.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  574.    wt: 3:   34 Derivative of exponential function
  575.    wt: 3:   30Chain Rule A Proof
  576.    wt: 3:   29 Chain Rule Optional Reading
  577.    wt: 3:   23 Chain Rule in general
  578.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  579.    wt: 3:   15 sine and cosine derivatives 3rd step
  580.    wt: 3:   13 sine and cosine derivatives 1st step
  581.    wt: 3:   3 Motivation for Limit Definition Take 2
  582.    wt: 3:   8 Four Animated Examples
  583.    wt: 3:   5 Jumps and absence of unlimited error control
  584.    wt: 3:   2 Algebraic codification
  585.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  586.    wt: 3:   .H1 First Fundamental Theorem of Calculus
  587.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  588.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  589.    wt: 3:   F.3 Intermediate Value Theorem
  590.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  591.    wt: 3:   Chapter 21 Arrow Addition
  592.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  593.    wt: 3:   Chapter 16. Velocity Approximation
  594.    wt: 3:   Chapter 15. Slope Approximation
  595.    wt: 3:   Chapter 12. Units and Slopes
  596.    wt: 3:   Chapter 10 Slopes and Units
  597.    wt: 3:   Chapter 9 About First Courses in Calculus
  598.    wt: 3:   Chapter 7 Slopes and Velocity
  599.    wt: 3:   Chapter 30 Truth Tables
  600.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  601.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  602.    wt: 3:   Chapter 23. Notation For Sums
  603.    wt: 3:   Chapter 18. Rules for Algebra
  604.    wt: 3:   Chapter 15. Solving Linear Equations
  605.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  606.    wt: 3:   Chapter 13. Second Reading Guide
  607.    wt: 3:   Chapter 12. Shorthand Usage Guide
  608.    wt: 3:   Chapter 11. Why Shorthand
  609.    wt: 3:   Chapter 8 Three Skills For Algebra
  610.    wt: 3:   Chapter 4 Longer Chains of Reason
  611.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  612.    wt: 3:   Postscript B Mathematics Education References
  613.    wt: 3:   Chapter 24 Direct and Indirect Reason
  614.    wt: 3:   Chapter 23 Truth Tables
  615.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  616.    wt: 3:   Chapter 7 Longer Chains of Reason
  617.    wt: 3:   Chapter 6 Chains of Reason
  618.    wt: 3:   S Adding words to algebra
  619.    wt: 3:   N Mathematics Prepare for College Studies
  620.    wt: 3:   N Improving Marks on Tests and Finals
  621.    wt: 3:   I. Logic and language skills
  622.    wt: 3:   D. Check work a must with a caution
  623.    wt: 3:   Helping the Blind in Logic and Mathematics
  624.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  625.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  626.    wt: 2:   K LAMP Musings Science Education
  627.    wt: 2:   J LAMP Introduction Extrinsic Origins
  628.    wt: 2:   G LAMP Introduction Problem Solving Skills
  629.    wt: 2:   A Introduction Objectives
  630.    wt: 2:   Skills Chapter 5 Calculus
  631.    wt: 2:   Ramblings Extrinsic numbers theory
  632.    wt: 2:   Skills Chapter 1 Arithmetic
  633.    wt: 2:   Skills Chapter 0 Introduction
  634.    wt: 2:   11 pure mathematics
  635.    wt: 2:   10 statistics
  636.    wt: 2:   9 combinatorics probability sets
  637.    wt: 2:   6 polynomials etc
  638.    wt: 2:   4 algebra
  639.    wt: 2:   2 arithmetic with signed numbers
  640.    wt: 2:   1 arithmetic with unsigned numbers
  641.    wt: 2:   What is POMME
  642.    wt: 2:   permissions for teachers
  643.    wt: 2:   About site lesson plans
  644.    wt: 2:   teacher certification
  645.    wt: 2:   learning takes time
  646.    wt: 2:   grouping students according to ability
  647.    wt: 2:   mathematics in context
  648.    wt: 2:   Education Reform Inconsistencies
  649.    wt: 2:   how letters appear
  650.    wt: 2:   teaching tips
  651.    wt: 2:   mathematics curriculum shifts
  652.    wt: 2:   Lessening Algebra Difficulties
  653.    wt: 2:   the trouble with algebra
  654.    wt: 2:   04 29 New Mathematics Curriculum
  655.    wt: 2:   04 25 when to stop or suspend mathemat
  656.    wt: 2:   formal or informal peer review
  657.    wt: 2:   Different Kinds of Reasoning in maths
  658.    wt: 2:   Four ways to improve education reform
  659.    wt: 2:   Motivation and Context Problem
  660.    wt: 2:   Prequel In For A Penny In For A Pound
  661.    wt: 2:   fairness and inductive principles for instruction
  662.    wt: 2:   words for mathematics instructor
  663.    wt: 2:   chapitre 12 00 les iles et division
  664.    wt: 2:   chapitre 04 09 Regles accidentelles
  665.    wt: 2:   chapitre 04 08 Limitations et benefices
  666.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  667.    wt: 2:   chapitre 04 06 engagements
  668.    wt: 2:   chapitre 04 05 Implication versus suggestion
  669.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  670.    wt: 2:   chapitre 04 00 Les regles d implication
  671.    wt: 2:   chapitre 01 00 Introduction
  672.    wt: 2:   problemes algebre et arithmetique
  673.    wt: 2:   3 Energy Power Heat08
  674.    wt: 2:   24 Standards For Skill Develoment
  675.    wt: 2:   22 Student Centered Highschool Mathematics
  676.    wt: 2:   11 Help and Defend Your Child or Teens Education
  677.    wt: 2:   9 Streaming by Student Cooperation
  678.    wt: 2:   8 The Effect of Negative Remarks
  679.    wt: 2:   3 Preparing for Science Studies
  680.    wt: 2:   2 Reading and Writing Skills
  681.    wt: 2:   Ages 12 to 14 Arithmetic
  682.    wt: 2:   Ages 10 to 12 Arithmetic
  683.    wt: 2:   Ages 3 plus to 4 plus
  684.    wt: 2:   18 Vertical Line Rule and Method
  685.    wt: 2:   13 From one to one to many to one
  686.    wt: 2:   12 Function Domain Recognition Exercises
  687.    wt: 2:   10 Interval Notation
  688.    wt: 2:   8 Set view of relations and functions
  689.    wt: 2:   1 Geometric Introduction of Function Notation
  690.    wt: 2:   Introduction Reading Guide
  691.    wt: 2:   11 Growth and Decay in Biology
  692.    wt: 2:   8 arcsin left inverse of sine Graph
  693.    wt: 2:   6 Graph of arccos function
  694.    wt: 2:   4 possible motivation for term arccos
  695.    wt: 2:   3 Left Inverse of cosine arccos definition
  696.    wt: 2:   8 Parallel Vectors
  697.    wt: 2:   4 Resultant of a Sum of Movements
  698.    wt: 2:   Vector and Complex Number Applet
  699.    wt: 2:   4 graphing y=Asin(x c)
  700.    wt: 2:   3 graphing y=f(x c) plus K
  701.    wt: 2:   1 graphing y=f(x a)
  702.    wt: 2:   Triangle Angles Sum To 180 Degrees
  703.    wt: 2:   Straight Lines Instersection Solving Equations
  704.    wt: 2:   C Straight Lines Slope from Coordinates
  705.    wt: 2:   B Straight Line Slope Scaling Properties More
  706.    wt: 2:   12 Straight Lines Graphing mx plus b
  707.    wt: 2:   11 Straight Lines Graphing y=mx
  708.    wt: 2:   10 Straight Lines through Origin Equations More
  709.    wt: 2:   9 Straight Lines through Origin Equations
  710.    wt: 2:   5 Tangent Function Graph
  711.    wt: 2:   27 Logarithmic use of products of sines and cosines
  712.    wt: 2:   26 Formulas for products of sines and cosines
  713.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  714.    wt: 2:   17G Pythagorean Theorem Converse
  715.    wt: 2:   17E Trig Formulas for dot and cross Products
  716.    wt: 2:   12 Graph of tangent function for one period
  717.    wt: 2:   9 Graphs of sine and cosine over one period
  718.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  719.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  720.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  721.    wt: 2:   16 References and Originality Question
  722.    wt: 2:   15 Pythagorean Theorem Converse
  723.    wt: 2:   9 The complex number valued trig function cis
  724.    wt: 2:   3 Addition Properties
  725.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  726.    wt: 2:   1 Angle Measurement with Degrees
  727.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  728.    wt: 2:   12 Triangles Similarity More Problems
  729.    wt: 2:   4 Similarity Definition with Coordinate
  730.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  731.    wt: 2:   3 Slope product for perpendicular lines
  732.    wt: 2:   2 point slope equation for a line
  733.    wt: 2:   11 Triangle Inequality
  734.    wt: 2:   PS A Kite Construction Methods
  735.    wt: 2:   19 Right Triangle Similarity
  736.    wt: 2:   17 Right Bisectors of Triangle Sides
  737.    wt: 2:   12 Side Angle Side Failure
  738.    wt: 2:   11 Triangle Construction Fails
  739.    wt: 2:   10 Dropping a perpendicular to line
  740.    wt: 2:   9 Construction of a right bisector
  741.    wt: 2:   8 Isoceles Triangles
  742.    wt: 2:   7 Angle Side Angle
  743.    wt: 2:   1 Initial Concepts and Terms
  744.    wt: 2:   A Measurement with Ruler Proper Use
  745.    wt: 2:   A Signed Number Arithmetic Review
  746.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  747.    wt: 2:   22 Multiplication of Signed Numbers
  748.    wt: 2:   21 Addition of Multiples of a Single Vector
  749.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  750.    wt: 2:   2 Counting Digits in Decimal Multiplication
  751.    wt: 2:   C Three Decimal Subtraction Methods
  752.    wt: 2:   8 Column Multiplication Methods in General
  753.    wt: 2:   6 Column Methods for Decimal Multiplication
  754.    wt: 2:   3 Multiplicative Counting Skills Principles
  755.    wt: 2:   2 Combing Counts Addition Skills and Principles
  756.    wt: 2:   2 Algebraic View
  757.    wt: 2:   3 Product Axioms Two Forms
  758.    wt: 2:   1 Equivalent Computation Rules
  759.    wt: 2:   15 Real Number Division
  760.    wt: 2:   14 Real Number Multiplication
  761.    wt: 2:   11 Real Number Addition
  762.    wt: 2:   10 Real Number Lengths and Signs
  763.    wt: 2:   9 Coordinates for Regions in Space
  764.    wt: 2:   6 Unsigned Real Numbers
  765.    wt: 2:   3 Fractions
  766.    wt: 2:   2 GE II Comparison
  767.    wt: 2:   2 Essentially one exercises three with solution
  768.    wt: 2:   3 Four Examples
  769.    wt: 2:   1 Proper Equal Sign Usage
  770.    wt: 2:   3 Two Examples
  771.    wt: 2:   Using Letters for Physical Quantities
  772.    wt: 2:   7 Compound Interest Formula Introduction
  773.    wt: 2:   5 Box Volume Formula Example
  774.    wt: 2:   1 Written work formats for developing and showing skill
  775.    wt: 2:   7 Cautious or Safe Set Construction
  776.    wt: 2:   3 Counting with Sets etc
  777.    wt: 2:   2 Venn Diagrams
  778.    wt: 2:   1 Three Skills For Algebra
  779.    wt: 2:   2 More and Less Than with Unlike Signs
  780.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  781.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  782.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  783.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  784.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  785.    wt: 2:   8 GCD from Euclidean Algorithm
  786.    wt: 2:   5 Common Divisors 60 45 via Prime
  787.    wt: 2:   4 LCM of 8 and 10 via Prime
  788.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  789.    wt: 2:   1 Least Common Multiples LCM Introduction
  790.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  791.    wt: 2:   2 Counting with Tables and Trees I
  792.    wt: 2:   9 subtracting signed numbers
  793.    wt: 2:   6 adding signed numbers
  794.    wt: 2:   5 lengths and signs of numbers
  795.    wt: 2:   4 signed coordinates for regions in space
  796.    wt: 2:   6 Simplification of Fractions with Units
  797.    wt: 2:   2 Equality and Units
  798.    wt: 2:   20 Dividing Fractions the Why
  799.    wt: 2:   5 Equivalent Fractions
  800.    wt: 2:   4 Fraction Multiplication
  801.    wt: 2:   2 Unit Fraction Multiplication
  802.    wt: 2:   D Remainders Modulo 11 Pair Rule
  803.    wt: 2:   12 Adding Integers More Examples
  804.    wt: 2:   10 Integer Multiplication Formulas
  805.    wt: 2:   8 Multiplication by Signed Numbers Integers
  806.    wt: 2:   1 Integers as Coordinates
  807.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  808.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  809.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  810.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  811.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  812.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  813.    wt: 2:   5 Remainder Arithmetic Modulo 5
  814.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  815.    wt: 2:   1 Remainder Arithmetic Modulo 10
  816.    wt: 2:   17 Identify and Count Factors using Primes
  817.    wt: 2:   14 video Factors of 24 Take II
  818.    wt: 2:   13 video Factors of 24 using prime
  819.    wt: 2:   2 Prime and Composites less than 16
  820.    wt: 2:   Division with Counts and Length
  821.    wt: 2:   8 Correcting the Mistake
  822.    wt: 2:   5 Long Division Include Zeroes or not
  823.    wt: 2:   2 Division with Single Digit Divisors
  824.    wt: 2:   1 Divsion Physical Examples
  825.    wt: 2:   D Decimal Multiplication Methods Derived
  826.    wt: 2:   C Counting Areas with Powers of Ten
  827.    wt: 2:   6 Multiplication Commutes Order Not Important
  828.    wt: 2:   1 Why 3 times 5 gives 15
  829.    wt: 2:   Subtraction with J Conversions Example
  830.    wt: 2:   Subtraction Another Video Lesson
  831.    wt: 2:   8 Subtraction with Units of Measure
  832.    wt: 2:   5 A Tip for Efficent Subtraction
  833.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  834.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  835.    wt: 2:   4. How to add with decimals B with conversions
  836.    wt: 2:   2 Decimal Counting Practices
  837.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  838.    wt: 2:   Expression Evaluation how to show work
  839.    wt: 2:   7 Addition of Time Intervals
  840.    wt: 2:   6 How long is a million seconds
  841.    wt: 2:   4 Mixing and Changing Units of Time
  842.    wt: 2:   3 Units and Lengths of Time
  843.    wt: 2:   1 Intro of Kids To Time Date Skills
  844.    wt: 2:   Example 2 volume of a cone
  845.    wt: 2:   Example 3
  846.    wt: 2:   2 Indefinite Integrals Exercises
  847.    wt: 2:   1 Chain Rule in Reverse Integration Method
  848.    wt: 2:   3 Second derivative test
  849.    wt: 2:   31 Derivatives of inverse functions
  850.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  851.    wt: 2:   26 Chain Rule Recognising outer inner functions
  852.    wt: 2:   22 Chain Rule for polynomials
  853.    wt: 2:   19 Chain Rule for linear functions
  854.    wt: 2:   18 Chain Rule Introduction
  855.    wt: 2:   17 Derivatives of quotients of sine and cosine
  856.    wt: 2:   14 sine and cosine derivatives 2nd step
  857.    wt: 2:   8 Differentiation of polynomials
  858.    wt: 2:   2 Motivation for Limit Definition Take 1
  859.    wt: 2:   11 Limits at infinity Three Examples
  860.    wt: 2:   6 Continuity at a point
  861.    wt: 2:   3 Decimal insights for limits continuity convergence
  862.    wt: 2:   1 Numerical introduction
  863.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  864.    wt: 2:   G.3 Constant Difference Theorem Proof
  865.    wt: 2:   F.1 What Functions are Continuous
  866.    wt: 2:   E2 Algebraic Properties of Limits
  867.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  868.    wt: 2:   C Triangle Inequalities
  869.    wt: 2:   A1. Introduction
  870.    wt: 2:   Chapter 23 Links To Trigonometry
  871.    wt: 2:   Chapter 22 Complex Numbers
  872.    wt: 2:   Chapter 11. Graphing Slope versus Position
  873.    wt: 2:   Chapter 8. Slope Interpretation
  874.    wt: 2:   Chapter 1.Introduction
  875.    wt: 2:   Appendix C. How to Read
  876.    wt: 2:   Appendix B. How To Learn
  877.    wt: 2:   Chapter 28 Occurrence Tables
  878.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  879.    wt: 2:   Chapter 21. Third Reading Guide
  880.    wt: 2:   Chapter 19. Functions and Sets
  881.    wt: 2:   Chapter 16. Painless Theorem Proving
  882.    wt: 2:   Solutions For Arithmetic Exercises
  883.    wt: 2:   Postscript A Three Remarks
  884.    wt: 2:   Chapter 12 Four Phases
  885.    wt: 2:   Chapter 11 Elementary Instruction
  886.    wt: 2:   Chapter 10 Transition
  887.    wt: 2:   Chapter 7 Two Treatments of Geometry
  888.    wt: 2:   Chapter 1 Introduction
  889.    wt: 2:   Postscript B More on Story Telling and Reason
  890.    wt: 2:   Chapter 21 Occurrence Tables
  891.    wt: 2:   Chapter 18 Sense and Knowledge
  892.    wt: 2:   Chapter 1 Introduction
  893.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  894.    wt: 2:   L Skills with take home value
  895.    wt: 2:   G. Written work formats for developing and showing skill
  896.    wt: 2:   F. The student teacher tutor feedback loop
  897.    wt: 2:   A. Skill has to be seen to believed
  898.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  899.    wt: 2:   Road Safety Questions
  900.    wt: 1:   Skills Chapter 4 Logic
  901.    wt: 1:   Skills Chapter 2 Geometry
  902.    wt: 1:   why bother
  903.    wt: 1:   which way to go
  904.    wt: 1:   three goals to set for students
  905.    wt: 1:   activities for students
  906.    wt: 1:   links Education Resources online
  907.    wt: 1:   site eurekas
  908.    wt: 1:   key notes and themes
  909.    wt: 1:   modern education
  910.    wt: 1:   What to Tell Students
  911.    wt: 1:   02 21 words for teachers
  912.    wt: 1:   cultivating intelligence
  913.    wt: 1:   How to be a better instructor
  914.    wt: 1:   chapitre 05 00 Deception
  915.    wt: 1:   chapitre 04 02 Deuxieme enigme
  916.    wt: 1:   chapitre 04 01 Premiere enigme
  917.    wt: 1:   deux definitions pour variable
  918.    wt: 1:   4 Energy Power Heat09
  919.    wt: 1:   2 Energy Power Heat07
  920.    wt: 1:   1 Energy Power Heat06
  921.    wt: 1:   C Energy Power03
  922.    wt: 1:   A Energy Power01
  923.    wt: 1:   1 Like resistors in series
  924.    wt: 1:   F Unlike Resistors in Series
  925.    wt: 1:   E Kirchoffs Second Law
  926.    wt: 1:   D Kirchoff First Law
  927.    wt: 1:   C Electromotive force conventional current02
  928.    wt: 1:   B Electromotive force conventional current01
  929.    wt: 1:   A Circuit Elements
  930.    wt: 1:   Home Tutoring and Home Schooling
  931.    wt: 1:   15 Counting For Parents
  932.    wt: 1:   10 Ends values for work study instruction
  933.    wt: 1:   7 Student Motivation
  934.    wt: 1:   1 Speaking Skills
  935.    wt: 1:   Ages 12 to 14 Geometry
  936.    wt: 1:   Ages 10 to 12 Geometry
  937.    wt: 1:   Ages 9 to 10
  938.    wt: 1:   Ages 8 to 9
  939.    wt: 1:   Ages 7 to 8
  940.    wt: 1:   Ages 6 to 7
  941.    wt: 1:   Ages 4 plus to 5 plus
  942.    wt: 1:   26 Function definitions done and coming
  943.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  944.    wt: 1:   23 Inverse Functions
  945.    wt: 1:   9 Set theory term relation possible origins
  946.    wt: 1:   7 Functions with finite domains
  947.    wt: 1:   2 Column Multiplication Method
  948.    wt: 1:   7 arcsin left inverse of sine Definition
  949.    wt: 1:   15 Dot and Cross Product
  950.    wt: 1:   13 Velocity Vectors in Physics
  951.    wt: 1:   6 Vectors with Coordinates
  952.    wt: 1:   2 Signed Coordinates
  953.    wt: 1:   1 Unsigned Coordinates
  954.    wt: 1:   Straight Lines Intersection of
  955.    wt: 1:   4 Tangent Function Properties
  956.    wt: 1:   1 Straight Lines Slope Concept
  957.    wt: 1:   28 Expressing products of sines cosines as sums
  958.    wt: 1:   17F Law of cosines
  959.    wt: 1:   8 period of tangent function
  960.    wt: 1:   7 period of sine and cosine
  961.    wt: 1:   1 Unit Points Reflections Rotations
  962.    wt: 1:   20 N th Roots of Complex Numbers
  963.    wt: 1:   14 Law of cosines
  964.    wt: 1:   4 Multiplication Properties
  965.    wt: 1:   7 Trignometric Ratios Unit Circle
  966.    wt: 1:   2 Similarity By Design
  967.    wt: 1:   Four Simple Exercises
  968.    wt: 1:   8 Mid Point Formula
  969.    wt: 1:   6 Intersection of lines by solving linear systems
  970.    wt: 1:   4 Equations for lines three forms
  971.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  972.    wt: 1:   5 Side Angle Side
  973.    wt: 1:   2 Correspondence between Triangles
  974.    wt: 1:   Short Course on Euclidean Geometry
  975.    wt: 1:   1 Length Measurement
  976.    wt: 1:   About Folder Contents
  977.    wt: 1:   E Long Division Methods more
  978.    wt: 1:   D Long Division Methods
  979.    wt: 1:   1 The Counting Origins of Numbers
  980.    wt: 1:   5 Independent versus Dependent Variables
  981.    wt: 1:   4 Changing Letters
  982.    wt: 1:   More Exercises
  983.    wt: 1:   Simple Exercises
  984.    wt: 1:   1 GE Substitution four examples
  985.    wt: 1:   1 Essentially One Unknown
  986.    wt: 1:   2 Three Examples
  987.    wt: 1:   10 One Example
  988.    wt: 1:   9 Three Examples
  989.    wt: 1:   8 One Example
  990.    wt: 1:   7 Two Examples
  991.    wt: 1:   6 Three Examples
  992.    wt: 1:   5 Three Examples
  993.    wt: 1:   4 Two Examples
  994.    wt: 1:   2 Three Examples
  995.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  996.    wt: 1:   10 Volume of Pyramid
  997.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  998.    wt: 1:   8 Sets of Numbers
  999.    wt: 1:   6 Power Set Notation
  1000.    wt: 1:   5 Product Builder Notation
  1001.    wt: 1:   4 Subset Builder Notation
  1002.    wt: 1:   About Folder Contents
  1003.    wt: 1:   5 Square Roots with primes more still
  1004.    wt: 1:   4 Square Roots with primes more
  1005.    wt: 1:   2 Square Roots with Prime
  1006.    wt: 1:   12 GCD 2700 288 via Prime
  1007.    wt: 1:   4 Counting with Trees Product Rule Take I
  1008.    wt: 1:   1 Counting and Counting Methods I
  1009.    wt: 1:   10 dividing signed numbers
  1010.    wt: 1:   8 multiplying signed numbers
  1011.    wt: 1:   7 Converting or Changing Units
  1012.    wt: 1:   4 Fractions with Units
  1013.    wt: 1:   D Three Term Ratios
  1014.    wt: 1:   22 Complex Compound Fractions
  1015.    wt: 1:   19 Dividing Fractions How TO
  1016.    wt: 1:   18 Efficient Ways to Multiply
  1017.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  1018.    wt: 1:   B Integer Long Division Multiple Choices
  1019.    wt: 1:   7 Multiplication by Signs
  1020.    wt: 1:   4 Adding Movements wiht opposite directions
  1021.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  1022.    wt: 1:   16 video Factors of 980 using prime
  1023.    wt: 1:   12 LCD GCD and LCM using Primes
  1024.    wt: 1:   11 Efficient Square Rule Use
  1025.    wt: 1:   4 Division with 2 Digit Divsors
  1026.    wt: 1:   4 Two and Three Digit Multipliers
  1027.    wt: 1:   3 More One Digit Multipliers
  1028.    wt: 1:   9 22 Minute Subtraction Review Video
  1029.    wt: 1:   The 20 Times Table
  1030.    wt: 1:   About folder contents
  1031.    wt: 1:   5 Conversion Arithmetic
  1032.    wt: 1:   Example 4 with x function of y
  1033.    wt: 1:   Example 2
  1034.    wt: 1:   Example 1
  1035.    wt: 1:   Summary
  1036.    wt: 1:   2 Second derivative test prequel
  1037.    wt: 1:   21 Chain Rule for powers
  1038.    wt: 1:   20 Chain Rule for Pulley Systems
  1039.    wt: 1:   12 Quotient rule examples
  1040.    wt: 1:   10 Power rule for negative integers
  1041.    wt: 1:   9 Reciprocal rule
  1042.    wt: 1:   10 Three one sided limits with infinite values
  1043.    wt: 1:   9 Limits Continuity and Composition
  1044.    wt: 1:   4 Numerical properties
  1045.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1046.    wt: 1:   F.5b Extreme Value Theorem
  1047.    wt: 1:   F.5a Equicontinuity Theorems
  1048.    wt: 1:   F.2 Closed Range Theorem
  1049.    wt: 1:   E1 Error Control Inequalities
  1050.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1051.    wt: 1:   Chapter 5. Slope Sign Tests
  1052.    wt: 1:   Postscript More on Better Performance
  1053.    wt: 1:   Postscript For Better Performance
  1054.    wt: 1:   Chapter 9 The Two Ends
  1055.    wt: 1:   Chapter 8 Modern Instruction
  1056.    wt: 1:   Chapter 5 Four References
  1057.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1058.    wt: 1:   Postscript A Story Telling
  1059.    wt: 1:   Chapter 15 Objective Processes
  1060.    wt: 1:   Chapter 10 Responsibility
  1061.    wt: 1:   Chapter 5 Deception
  1062.    wt: 1:   Chapter 2 Skill Development
  1063.    wt: 1:   Three Remarks
  1064.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1065.    wt: 1:   M Words to extend arithmetic
  1066.    wt: 1:   J. More on written work and showing skill
  1067.    wt: 1:   E. When and how to correct errors
  1068.    wt: 1:   C. Domino effect of being careful
  1069.    wt: 1:   How to Build Skills and Confidence
  1070.    wt: 1:   Implementation Notes
  1071.    wt: 1:   Which Way To Go

Extended Search

1119 matches:

  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   Skills Chapter 2 Geometry
  3.    wt: 9:   8 analytic geometry etc
  4.    wt: 9:   Math Ed if it must be short make it lean effective
  5.    wt: 9:   what should be learnt and When
  6.    wt: 9:   Education Reform Inconsistencies
  7.    wt: 9:   five decades make a difference
  8.    wt: 9:   Maps Plans Drawings
  9.    wt: 9:   talk the algebra talk
  10.    wt: 9:   three goals for Mathematics Education
  11.    wt: 9:   standards for course material
  12.    wt: 9:   Education in mathematics science and technology
  13.    wt: 9:   education an empirical art
  14.    wt: 9:   chapitre 07 00 Des chaines plus longues de la raison
  15.    wt: 9:   chapitre 06 00 Chaines de la raison
  16.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  17.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  18.    wt: 9:   Objectives for Mathematics and Logic Language Skill Development
  19.    wt: 9:   10 Exponential Growth and Decay Models
  20.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  21.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  22.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  23.    wt: 9:   2 Square Root Simplification a prequel
  24.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  25.    wt: 9:   10 Parallelogram Addition Method
  26.    wt: 9:   5 Head To Tail Arrow Addition
  27.    wt: 9:   Straight Lines Instersection Solving Equations
  28.    wt: 9:   Straight Lines Intersection of
  29.    wt: 9:   C Straight Lines Slope from Coordinates
  30.    wt: 9:   B Straight Line Slope Scaling Properties More
  31.    wt: 9:   5 Tangent Function Graph
  32.    wt: 9:   31 basic secant cosecant cotangent trig identities
  33.    wt: 9:   29 secant cosecant and cotangent for acute angles
  34.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  35.    wt: 9:   11 Triangle Similarity Missing Side Problem
  36.    wt: 9:   8 Similarity of Triangles and Polygons
  37.    wt: 9:   1 Early Concept of Like or Similar Shapes
  38.    wt: 9:   10 Midpoint of [a b] and [b a]
  39.    wt: 9:   7 Exercises to test skill and concept mastery
  40.    wt: 9:   5 Algebraic View of Slopes
  41.    wt: 9:   3 Slope product for perpendicular lines
  42.    wt: 9:   1 Numerical view of lines and their equations
  43.    wt: 9:   PS H Distributive Law For Complex Numbers
  44.    wt: 9:   PS G Rotation Distributes over Addition
  45.    wt: 9:   PS E Multiplication with Polar Coordinates
  46.    wt: 9:   PS C Similarity Use Recognize it in Trigonometry
  47.    wt: 9:   PS B Parallelogram Construction Methods
  48.    wt: 9:   6 Ruler and compass Angle Bisection
  49.    wt: 9:   3 Isometry of Triangles Congruence
  50.    wt: 9:   A Measurement with Ruler Proper Use
  51.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  52.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  53.    wt: 9:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  54.    wt: 9:   8 Division and Mulplication of Compound Fractions
  55.    wt: 9:   3 Location of Point in Decimal Multiplication
  56.    wt: 9:   6 Compound Interest Forward and Backwards
  57.    wt: 9:   3 Linear Equation Literal Solution More
  58.    wt: 9:   3 Product Axioms Two Forms
  59.    wt: 9:   1 Equivalent Computation Rules
  60.    wt: 9:   16 Real Numbers Comparison
  61.    wt: 9:   7 Real Numbers as Line Cordinates
  62.    wt: 9:   1 Whole and Natural Numbers
  63.    wt: 9:   2 Computation Rules Evaluation
  64.    wt: 9:   1 Formulas Dependence and Function Notation
  65.    wt: 9:   2 Three Examples
  66.    wt: 9:   Formula Usage Show Work Format
  67.    wt: 9:   7 Compound Interest Formula Introduction
  68.    wt: 9:   5 Box Volume Formula Example
  69.    wt: 9:   1 Written work formats for developing and showing skill
  70.    wt: 9:   4 Greater More Less Than Signs in General
  71.    wt: 9:   3 Properties of Square Roots with example
  72.    wt: 9:   13 GCD from given Prime Factorization
  73.    wt: 9:   7 GCD and LCM from prime factorization
  74.    wt: 9:   3 Counting with Tables and Trees II
  75.    wt: 9:   11 What are real lengths and numbers
  76.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  77.    wt: 9:   17 Efficient Ways to Add and Subtract
  78.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  79.    wt: 9:   14 Adding and Subtracting with Like Denominators
  80.    wt: 9:   11 Simplification an Algebraic View
  81.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
  82.    wt: 9:   1 What is a fraction
  83.    wt: 9:   24 Divisibility Tests for 2 3 5 9 10
  84.    wt: 9:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  85.    wt: 9:   18 Remainder Arithmetic Rule of 9 for checking sums II
  86.    wt: 9:   17 Remainder Arithmetic Rule of 9 for checking sums I
  87.    wt: 9:   5 Remainder Arithmetic Modulo 5
  88.    wt: 9:   2 Remainder Arithmetic Modulo 10 more
  89.    wt: 9:   1 Remainder Arithmetic Modulo 10
  90.    wt: 9:   17 Identify and Count Factors using Primes
  91.    wt: 9:   16 video Factors of 980 using prime
  92.    wt: 9:   2 Prime and Composites less than 16
  93.    wt: 9:   Division with Counts and Length
  94.    wt: 9:   12 Why Long Division Works Take III
  95.    wt: 9:   11 Another Single Digit Divisor Example
  96.    wt: 9:   10 Division by Five Long and Short Ways
  97.    wt: 9:   9 Why Long Division Works Take II
  98.    wt: 9:   D Decimal Multiplication Methods Derived
  99.    wt: 9:   C Counting Areas with Powers of Ten
  100.    wt: 9:   6 Multiplication Commutes Order Not Important
  101.    wt: 9:   3 More One Digit Multipliers
  102.    wt: 9:   1 Why 3 times 5 gives 15
  103.    wt: 9:   9 22 Minute Subtraction Review Video
  104.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  105.    wt: 9:   2 Groups of Three Place Value for Multidigit Decimals
  106.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  107.    wt: 9:   34 Derivative of exponential function
  108.    wt: 9:   31 Derivatives of inverse functions
  109.    wt: 9:   30Chain Rule A Proof
  110.    wt: 9:   29 Chain Rule Optional Reading
  111.    wt: 9:   23 Chain Rule in general
  112.    wt: 9:   22 Chain Rule for polynomials
  113.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  114.    wt: 9:   15 sine and cosine derivatives 3rd step
  115.    wt: 9:   13 sine and cosine derivatives 1st step
  116.    wt: 9:   3 Motivation for Limit Definition Take 2
  117.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  118.    wt: 9:   .H2 Lipshitz Conditions Integration Calculus Reform
  119.    wt: 9:   PostScript For and Against Decimal Perspectives
  120.    wt: 9:   Chapter 5. Slope Sign Tests
  121.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  122.    wt: 9:   Postscript C Consistency as a Tool for Reason
  123.    wt: 9:   Chapter 23 Truth Tables
  124.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  125.    wt: 9:   Chapter 11 Accidental Patterns
  126.    wt: 9:   Chapter 9 What is in Chapters 10 to 18
  127.    wt: 9:   Chapter 8 Change of Language
  128.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  129.    wt: 8:   11 pure mathematics
  130.    wt: 8:   10 statistics
  131.    wt: 8:   9 combinatorics probability sets
  132.    wt: 8:   6 polynomials etc
  133.    wt: 8:   4 algebra
  134.    wt: 8:   2 arithmetic with signed numbers
  135.    wt: 8:   1 arithmetic with unsigned numbers
  136.    wt: 8:   What is POMME
  137.    wt: 8:   Teach the teachers plus goals
  138.    wt: 8:   permissions for teachers
  139.    wt: 8:   Mathematics Education Professors
  140.    wt: 8:   learning takes time
  141.    wt: 8:   grouping students according to ability
  142.    wt: 8:   mathematics in context
  143.    wt: 8:   Secondary Three Mathematics
  144.    wt: 8:   Secondary Two Mathematics
  145.    wt: 8:   Secondary One Mathematics
  146.    wt: 8:   geometric implications for algebra
  147.    wt: 8:   the trouble with algebra
  148.    wt: 8:   05 13 OldSiteEntrancePage
  149.    wt: 8:   02 20 mathematics education references
  150.    wt: 8:   three aims for mathematics students
  151.    wt: 8:   Operational Viewpoint to Value
  152.    wt: 8:   mathematics instruction in general
  153.    wt: 8:   Different Kinds of Reasoning in maths
  154.    wt: 8:   three kinds of reason in mathematics
  155.    wt: 8:   need for a mixed mathematics curriculum
  156.    wt: 8:   Leaner mathematics curriculum
  157.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  158.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take IV
  159.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take III
  160.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take II
  161.    wt: 8:   11 Growth and Decay in Biology
  162.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  163.    wt: 8:   4 Polynomials Long division linear divisor
  164.    wt: 8:   3 Polynomials Multiplication Addition
  165.    wt: 8:   16 cotangent function Definition Graph and Inverse
  166.    wt: 8:   15 cosecant function Definition Graph and Inverse
  167.    wt: 8:   13 cosecant function Definition Graph and Inverse
  168.    wt: 8:   11 arctan left inverse of tangent Graph
  169.    wt: 8:   5 Swapping Coordinates is a reflection
  170.    wt: 8:   12 From Applied To Pure Mathematics
  171.    wt: 8:   9 Head to Tail Coordinate View
  172.    wt: 8:   4 Tangent Function Properties
  173.    wt: 8:   1 Straight Lines Slope Concept
  174.    wt: 8:   32 seven rows of pascals triangle
  175.    wt: 8:   18 sum of sinusoidal waves as a single wave
  176.    wt: 8:   13 Trig Formulas for dot and cross Products
  177.    wt: 8:   12 cis formulas for sine cosines and tangent
  178.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  179.    wt: 8:   5 An Easy Proof of the Distributive Law
  180.    wt: 8:   1 Rectangular Polar Coordinates Review
  181.    wt: 8:   Appetizer A Complex Number Applet
  182.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  183.    wt: 8:   12 Triangles Similarity More Problems
  184.    wt: 8:   4 Similarity Definition with Coordinate
  185.    wt: 8:   9 Midpoint Coordinates Half Endpoint Sum
  186.    wt: 8:   2 point slope equation for a line
  187.    wt: 8:   21 Parallelograms
  188.    wt: 8:   18 Triangle Similarity Take 1
  189.    wt: 8:   16 Angles Subtended By Chords and Diameters
  190.    wt: 8:   15 Triangle Angle Sum is 180 degrees
  191.    wt: 8:   14 Parallel Lines Postulate
  192.    wt: 8:   1 Length Measurement
  193.    wt: 8:   musings do not puiblish real numbers
  194.    wt: 8:   24 Signed Numbers Arithmmetic Properties
  195.    wt: 8:   22 Multiplication of Signed Numbers
  196.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  197.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  198.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  199.    wt: 8:   12 Real Numbers Line Signed Coordinates
  200.    wt: 8:   11 Signed Number Addition and Addition Properties
  201.    wt: 8:   9 Division with Digits after Decimal Point
  202.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  203.    wt: 8:   5 Fractions with Infinite Decimal Expansions
  204.    wt: 8:   4 Location of Point in Decimal Addition
  205.    wt: 8:   1 Fractions with Finite Decimal Expansions
  206.    wt: 8:   A Decimal Addition Columm Methods
  207.    wt: 8:   7 Decimals Multiplication Methods Examples
  208.    wt: 8:   5 Distributive Law for Whole Numbers
  209.    wt: 8:   4 Commutative Law Groups Counting Form
  210.    wt: 8:   3 Multiplicative Counting Skills Principles
  211.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  212.    wt: 8:   2 Linear Equation Literal Solution
  213.    wt: 8:   1 Changing Calculations
  214.    wt: 8:   13 Real Number Subtraction
  215.    wt: 8:   12 Real Number Additive Inverses or Negatives
  216.    wt: 8:   5 Rational Numbers More
  217.    wt: 8:   4 Rational Numbers
  218.    wt: 8:   Using Letters for Physical Quantities
  219.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  220.    wt: 8:   10 Volume of Pyramid
  221.    wt: 8:   5 Talking about Numbers and Quantities
  222.    wt: 8:   4 A Brief Story of numbers and algebra
  223.    wt: 8:   2 More and Less Than with Unlike Signs
  224.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  225.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  226.    wt: 8:   LCM 60 45 Avoid List Method Use Prime
  227.    wt: 8:   1 Least Common Multiples LCM Introduction
  228.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  229.    wt: 8:   2 Counting with Tables and Trees I
  230.    wt: 8:   2 signed and unsigned numbers as coordinates
  231.    wt: 8:   3 Multiplying Units and Numbers
  232.    wt: 8:   1 Addition and Subtraction with Units
  233.    wt: 8:   B Fractions and Two Term Ratios
  234.    wt: 8:   21 Reciprocals for Fractions and Wholes
  235.    wt: 8:   12 Fraction Comparison
  236.    wt: 8:   9 Improper Fractions and Mixed Numbers
  237.    wt: 8:   A Associative Law Theorectical Note
  238.    wt: 8:   12 LCD GCD and LCM using Primes
  239.    wt: 8:   11 Efficient Square Rule Use
  240.    wt: 8:   8 Correcting the Mistake
  241.    wt: 8:   5 Long Division Include Zeroes or not
  242.    wt: 8:   2 Division with Single Digit Divisors
  243.    wt: 8:   1 Divsion Physical Examples
  244.    wt: 8:   4 Two and Three Digit Multipliers
  245.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  246.    wt: 8:   016 Numbering Occidental Calendar Days
  247.    wt: 8:   8 Addition of Time Intervals via subtotaling
  248.    wt: 8:   Volume of Solid by Cross Sections Lesson
  249.    wt: 8:   Summary
  250.    wt: 8:   A Related Material in Volume 3
  251.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  252.    wt: 8:   26 Chain Rule Recognising outer inner functions
  253.    wt: 8:   19 Chain Rule for linear functions
  254.    wt: 8:   18 Chain Rule Introduction
  255.    wt: 8:   17 Derivatives of quotients of sine and cosine
  256.    wt: 8:   14 sine and cosine derivatives 2nd step
  257.    wt: 8:   12 Quotient rule examples
  258.    wt: 8:   8 Differentiation of polynomials
  259.    wt: 8:   2 Motivation for Limit Definition Take 1
  260.    wt: 8:   7 Evaluation by immediate or delayed substitution
  261.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  262.    wt: 8:   .H1 First Fundamental Theorem of Calculus
  263.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  264.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  265.    wt: 8:   F.3 Intermediate Value Theorem
  266.    wt: 8:   Foreword
  267.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  268.    wt: 8:   Chapter 2 For and Against Mathematics
  269.    wt: 8:   Chapter 24 Direct and Indirect Reason
  270.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
  271.    wt: 8:   Chapter 7 Longer Chains of Reason
  272.    wt: 8:   Chapter 6 Chains of Reason
  273.    wt: 8:   V Reasons and Motivations for Logic and Mathematics
  274.    wt: 7:   About site lesson plans
  275.    wt: 7:   teacher certification
  276.    wt: 7:   modern education
  277.    wt: 7:   how letters appear
  278.    wt: 7:   teaching tips
  279.    wt: 7:   mathematics curriculum shifts
  280.    wt: 7:   Lessening Algebra Difficulties
  281.    wt: 7:   04 29 New Mathematics Curriculum
  282.    wt: 7:   04 25 when to stop or suspend mathemat
  283.    wt: 7:   formal or informal peer review
  284.    wt: 7:   Four ways to improve education reform
  285.    wt: 7:   Motivation and Context Problem
  286.    wt: 7:   Prequel In For A Penny In For A Pound
  287.    wt: 7:   fairness and inductive principles for instruction
  288.    wt: 7:   words for mathematics instructor
  289.    wt: 7:   chapitre 07 01 principle D induction mathematique
  290.    wt: 7:   chapitre 04 04 Parlons de la logique
  291.    wt: 7:   chapitre 02 00 La Communication des idees
  292.    wt: 7:   23 Modularized Skill Development Modularized Rigor
  293.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  294.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  295.    wt: 7:   13 Addition and Addition Tables
  296.    wt: 7:   Ages 12 to 14 Skills with take home value
  297.    wt: 7:   Ages 3 plus to 4 plus
  298.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  299.    wt: 7:   17 Function maxima minima and their location
  300.    wt: 7:   3 Formula or function graphing exercise
  301.    wt: 7:   1 Polynomials Distributive Law
  302.    wt: 7:   14 secant function Definition Graph and Inverse
  303.    wt: 7:   12 motivation for term arctan
  304.    wt: 7:   10 arctan left inverse of tangent Definition
  305.    wt: 7:   9 motivation for name arcsin
  306.    wt: 7:   13 Velocity Vectors in Physics
  307.    wt: 7:   8 Parallel Vectors
  308.    wt: 7:   4 Resultant of a Sum of Movements
  309.    wt: 7:   Vector and Complex Number Applet
  310.    wt: 7:   24 tangent Angle Difference Formula
  311.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  312.    wt: 7:   21 sine and cosine Half Angle Formulas
  313.    wt: 7:   17D cis formulas for sine cosines and tangent
  314.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  315.    wt: 7:   16 Right Triangle Complementary Angle Relations
  316.    wt: 7:   15 sine cosine Complementary Angle Relations
  317.    wt: 7:   14 cosine even and sine and tangent are odd
  318.    wt: 7:   13 Graph of tangent function many periods
  319.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  320.    wt: 7:   21 Logarithms Powers and Exponentials
  321.    wt: 7:   11 sine and cosine double triple angle formulas
  322.    wt: 7:   7 Second Way to Calculate Products
  323.    wt: 7:   3 Addition Properties
  324.    wt: 7:   2 Complex Numbers made easier we hope
  325.    wt: 7:   8 Triangles Cascade Problem Solving
  326.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  327.    wt: 7:   3 Trigonometric Ratios sine and cosine
  328.    wt: 7:   Why Trigonometry the whyslopes view
  329.    wt: 7:   2 Similarity By Design
  330.    wt: 7:   Four Simple Exercises
  331.    wt: 7:   8 Mid Point Formula
  332.    wt: 7:   6 Intersection of lines by solving linear systems
  333.    wt: 7:   4 Equations for lines three forms
  334.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  335.    wt: 7:   PS A Kite Construction Methods
  336.    wt: 7:   19 Right Triangle Similarity
  337.    wt: 7:   17 Right Bisectors of Triangle Sides
  338.    wt: 7:   12 Side Angle Side Failure
  339.    wt: 7:   11 Triangle Construction Fails
  340.    wt: 7:   10 Dropping a perpendicular to line
  341.    wt: 7:   9 Construction of a right bisector
  342.    wt: 7:   8 Isoceles Triangles
  343.    wt: 7:   7 Angle Side Angle
  344.    wt: 7:   1 Initial Concepts and Terms
  345.    wt: 7:   A Signed Number Arithmetic Review
  346.    wt: 7:   21 Addition of Multiples of a Single Vector
  347.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  348.    wt: 7:   2 Counting Digits in Decimal Multiplication
  349.    wt: 7:   C Three Decimal Subtraction Methods
  350.    wt: 7:   8 Column Multiplication Methods in General
  351.    wt: 7:   6 Column Methods for Decimal Multiplication
  352.    wt: 7:   2 Combing Counts Addition Skills and Principles
  353.    wt: 7:   15 Real Number Division
  354.    wt: 7:   14 Real Number Multiplication
  355.    wt: 7:   11 Real Number Addition
  356.    wt: 7:   10 Real Number Lengths and Signs
  357.    wt: 7:   9 Coordinates for Regions in Space
  358.    wt: 7:   6 Unsigned Real Numbers
  359.    wt: 7:   3 Fractions
  360.    wt: 7:   5 Independent versus Dependent Variables
  361.    wt: 7:   4 Changing Letters
  362.    wt: 7:   More Exercises
  363.    wt: 7:   Simple Exercises
  364.    wt: 7:   11 Volume of Sphere
  365.    wt: 7:   9 Volume of Cone
  366.    wt: 7:   9 Sets in Probability and Statistics
  367.    wt: 7:   6 Three Notions of What is a Variable
  368.    wt: 7:   2 What is a Variable
  369.    wt: 7:   5 Square Roots with primes more still
  370.    wt: 7:   4 Square Roots with primes more
  371.    wt: 7:   2 Square Roots with Prime
  372.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  373.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  374.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  375.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  376.    wt: 7:   8 GCD from Euclidean Algorithm
  377.    wt: 7:   5 Common Divisors 60 45 via Prime
  378.    wt: 7:   4 LCM of 8 and 10 via Prime
  379.    wt: 7:   4 Counting with Trees Product Rule Take I
  380.    wt: 7:   1 Counting and Counting Methods I
  381.    wt: 7:   7 negative and additive inverse
  382.    wt: 7:   6 Simplification of Fractions with Units
  383.    wt: 7:   2 Equality and Units
  384.    wt: 7:   20 Dividing Fractions the Why
  385.    wt: 7:   5 Equivalent Fractions
  386.    wt: 7:   4 Fraction Multiplication
  387.    wt: 7:   2 Unit Fraction Multiplication
  388.    wt: 7:   4 Division with 2 Digit Divsors
  389.    wt: 7:   B Powers of Ten
  390.    wt: 7:   2 One Digit Multipliers
  391.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  392.    wt: 7:   Quick history of numbers and algebra
  393.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  394.    wt: 7:   015 School and work day counting tables
  395.    wt: 7:   014 Counting Days with Calendars
  396.    wt: 7:   013 Travel Time Tables
  397.    wt: 7:   012 Division of Time Intervals by Time Intervals
  398.    wt: 7:   011 Division of Time Intervals By Numbers
  399.    wt: 7:   010 Repeated Addition of Time Intervals
  400.    wt: 7:   2 Time and Date Matters in School
  401.    wt: 7:   4 Definite Integrals Evaluation Exercises
  402.    wt: 7:   A Related lessons in Volume 3
  403.    wt: 7:   4 Second derivative test exercise example
  404.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  405.    wt: 7:   21 Chain Rule for powers
  406.    wt: 7:   20 Chain Rule for Pulley Systems
  407.    wt: 7:   10 Power rule for negative integers
  408.    wt: 7:   9 Reciprocal rule
  409.    wt: 7:   5 Product Rule
  410.    wt: 7:   8 Four Animated Examples
  411.    wt: 7:   5 Jumps and absence of unlimited error control
  412.    wt: 7:   2 Algebraic codification
  413.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  414.    wt: 7:   G.3 Constant Difference Theorem Proof
  415.    wt: 7:   F.5a Equicontinuity Theorems
  416.    wt: 7:   F.1 What Functions are Continuous
  417.    wt: 7:   E2 Algebraic Properties of Limits
  418.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  419.    wt: 7:   C Triangle Inequalities
  420.    wt: 7:   A1. Introduction
  421.    wt: 7:   Appendix E. How To Study Mathematics and Why
  422.    wt: 7:   Chapter 31 Direct and Indirect Reason
  423.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  424.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  425.    wt: 7:   Chapter 25. Mathematical Induction Examples
  426.    wt: 7:   Chapter 25. Mathematical Induction Examples
  427.    wt: 7:   Chapter 10 Describing and Changing Calculations
  428.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  429.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  430.    wt: 7:   Chapter 3 Chains of Reason
  431.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  432.    wt: 7:   Chapter 4 Complex Numbers and Why Slopes
  433.    wt: 7:   Chapter 3 Algebra Difficulties
  434.    wt: 7:   Postscript B More on Story Telling and Reason
  435.    wt: 7:   Chapter 21 Occurrence Tables
  436.    wt: 7:   Chapter 18 Sense and Knowledge
  437.    wt: 7:   Chapter 1 Introduction
  438.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  439.    wt: 7:   Helping the Blind in Logic and Mathematics
  440.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  441.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  442.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  443.    wt: 6:   why bother
  444.    wt: 6:   which way to go
  445.    wt: 6:   three goals to set for students
  446.    wt: 6:   activities for students
  447.    wt: 6:   links Education Resources online
  448.    wt: 6:   site eurekas
  449.    wt: 6:   key notes and themes
  450.    wt: 6:   Postscript 2007 01 10
  451.    wt: 6:   What to Tell Students
  452.    wt: 6:   02 21 words for teachers
  453.    wt: 6:   Theory of Knowledge
  454.    wt: 6:   cultivating intelligence
  455.    wt: 6:   How to be a better instructor
  456.    wt: 6:   chapitre 12 00 les iles et division
  457.    wt: 6:   chapitre 04 09 Regles accidentelles
  458.    wt: 6:   chapitre 04 08 Limitations et benefices
  459.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  460.    wt: 6:   chapitre 04 06 engagements
  461.    wt: 6:   chapitre 04 05 Implication versus suggestion
  462.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  463.    wt: 6:   chapitre 04 00 Les regles d implication
  464.    wt: 6:   chapitre 01 00 Introduction
  465.    wt: 6:   Trois Notions qui menent a algebre
  466.    wt: 6:   A Wire Resistance Qualitative01
  467.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  468.    wt: 6:   Ages 12 to 14 Arithmetic
  469.    wt: 6:   Ages 10 to 12 Arithmetic
  470.    wt: 6:   11 Function Domain Range Source and Targets
  471.    wt: 6:   6 Set Existence Formation and Notation
  472.    wt: 6:   4 Function notation in and beyond mathematics
  473.    wt: 6:   8 arcsin left inverse of sine Graph
  474.    wt: 6:   6 Graph of arccos function
  475.    wt: 6:   4 possible motivation for term arccos
  476.    wt: 6:   3 Left Inverse of cosine arccos definition
  477.    wt: 6:   15 Dot and Cross Product
  478.    wt: 6:   6 Vectors with Coordinates
  479.    wt: 6:   2 Signed Coordinates
  480.    wt: 6:   1 Unsigned Coordinates
  481.    wt: 6:   17 tangent function angle sum formulas
  482.    wt: 6:   30 unit circle calculation of six trigonometric functions
  483.    wt: 6:   25 tangent double angle formula Slope connection
  484.    wt: 6:   20 sine and cosine Double Angle Formulas
  485.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  486.    wt: 6:   17C sine and cosine double triple angle formulas
  487.    wt: 6:   17A The complex number valued trig function cis
  488.    wt: 6:   11 tangent function undefined when terminal side vertical
  489.    wt: 6:   10 Graphs of sines and cosines many periods
  490.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  491.    wt: 6:   2 Quadrant I reference Angles
  492.    wt: 6:   16 References and Originality Question
  493.    wt: 6:   15 Pythagorean Theorem Converse
  494.    wt: 6:   9 The complex number valued trig function cis
  495.    wt: 6:   6 Trigonometry Sines of Supplementary Angles
  496.    wt: 6:   1 Angle Measurement with Degrees
  497.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  498.    wt: 6:   12 Links Lessons elsewhere
  499.    wt: 6:   5 Side Angle Side
  500.    wt: 6:   2 Correspondence between Triangles
  501.    wt: 6:   Short Course on Euclidean Geometry
  502.    wt: 6:   E Long Division Methods more
  503.    wt: 6:   D Long Division Methods
  504.    wt: 6:   1 The Counting Origins of Numbers
  505.    wt: 6:   3 Adding Words To Arithmetic
  506.    wt: 6:   arithmetic videos Real Player Format
  507.    wt: 6:   12 GCD 2700 288 via Prime
  508.    wt: 6:   9 subtracting signed numbers
  509.    wt: 6:   6 adding signed numbers
  510.    wt: 6:   5 lengths and signs of numbers
  511.    wt: 6:   4 signed coordinates for regions in space
  512.    wt: 6:   7 Converting or Changing Units
  513.    wt: 6:   4 Fractions with Units
  514.    wt: 6:   D Three Term Ratios
  515.    wt: 6:   22 Complex Compound Fractions
  516.    wt: 6:   19 Dividing Fractions How TO
  517.    wt: 6:   18 Efficient Ways to Multiply
  518.    wt: 6:   13 Subtraction with Additive Inverse
  519.    wt: 6:   11 Adding Integers Formulas and Examples
  520.    wt: 6:   6 Multiplication by Natural Numbers
  521.    wt: 6:   3 Adding Movements with same direction
  522.    wt: 6:   Exact Arithmetic Wholes and Fractions
  523.    wt: 6:   Formula Evaluation how to show work
  524.    wt: 6:   Expression Evaluation how to show work
  525.    wt: 6:   7 Addition of Time Intervals
  526.    wt: 6:   6 How long is a million seconds
  527.    wt: 6:   4 Mixing and Changing Units of Time
  528.    wt: 6:   3 Units and Lengths of Time
  529.    wt: 6:   1 Intro of Kids To Time Date Skills
  530.    wt: 6:   5 Area Under Curve Exercise
  531.    wt: 6:   3 Two Chain Rule Method Exercises
  532.    wt: 6:   3 Second derivative test
  533.    wt: 6:   2 Second derivative test prequel
  534.    wt: 6:   11 Quotient rule
  535.    wt: 6:   6 Power rule from product rule
  536.    wt: 6:   4 Sum Rule
  537.    wt: 6:   11 Limits at infinity Three Examples
  538.    wt: 6:   6 Continuity at a point
  539.    wt: 6:   4 Numerical properties
  540.    wt: 6:   3 Decimal insights for limits continuity convergence
  541.    wt: 6:   1 Numerical introduction
  542.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  543.    wt: 6:   F.5b Extreme Value Theorem
  544.    wt: 6:   F.2 Closed Range Theorem
  545.    wt: 6:   E1 Error Control Inequalities
  546.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  547.    wt: 6:   Appendix D. What to do in School and Why
  548.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  549.    wt: 6:   Chapter 30 Truth Tables
  550.    wt: 6:   Chapter 23. Notation For Sums
  551.    wt: 6:   Chapter 20. Degrees and Radians
  552.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  553.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  554.    wt: 6:   Chapter 13. Second Reading Guide
  555.    wt: 6:   Postscript What is a Variable
  556.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  557.    wt: 6:   Chapter 6 Change of Language
  558.    wt: 6:   Annotated Links to Material Elsehwere
  559.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  560.    wt: 6:   Postscript A Story Telling
  561.    wt: 6:   Chapter 15 Objective Processes
  562.    wt: 6:   Chapter 10 Responsibility
  563.    wt: 6:   Chapter 5 Deception
  564.    wt: 6:   Chapter 2 Skill Development
  565.    wt: 6:   Three Remarks
  566.    wt: 6:   R Why Learn Mathematics Skills
  567.    wt: 6:   O On Learning Mathematics and Science
  568.    wt: 6:   H Jigsaw puzzles and problem solving
  569.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  570.    wt: 6:   Implementation Notes
  571.    wt: 5:   website reviews
  572.    wt: 5:   site origins
  573.    wt: 5:   three difficulties
  574.    wt: 5:   chapitre 05 00 Deception
  575.    wt: 5:   chapitre 04 02 Deuxieme enigme
  576.    wt: 5:   chapitre 04 01 Premiere enigme
  577.    wt: 5:   problemes algebre et arithmetique
  578.    wt: 5:   E Wire Resistance Calculation03
  579.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  580.    wt: 5:   16 Secondary Mathematics Tips
  581.    wt: 5:   12 Goals and Objectives For Mathematics
  582.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  583.    wt: 5:   5 Patience Please for Yourself and Your Charges
  584.    wt: 5:   Ages 12 to 14 Geometry
  585.    wt: 5:   Ages 10 to 12 Geometry
  586.    wt: 5:   Ages 9 to 10
  587.    wt: 5:   Ages 8 to 9
  588.    wt: 5:   Ages 7 to 8
  589.    wt: 5:   Ages 6 to 7
  590.    wt: 5:   Ages 4 plus to 5 plus
  591.    wt: 5:   22 Square Root function graphically
  592.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  593.    wt: 5:   20 Interchanging coordinates a reflection
  594.    wt: 5:   19 Horizontal line rule and method
  595.    wt: 5:   16 Increasing or decreasing on intervals
  596.    wt: 5:   15 Sign analysis of functions
  597.    wt: 5:   13 From one to one to many to one
  598.    wt: 5:   5 Function notation for geometric transformations
  599.    wt: 5:   2 Algebraic use of function notation
  600.    wt: 5:   2 Column Multiplication Method
  601.    wt: 5:   Rewriting algebraic substitution as function substitutions
  602.    wt: 5:   7 arcsin left inverse of sine Definition
  603.    wt: 5:   11 Component Method
  604.    wt: 5:   27 Logarithmic use of products of sines and cosines
  605.    wt: 5:   26 Formulas for products of sines and cosines
  606.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  607.    wt: 5:   17G Pythagorean Theorem Converse
  608.    wt: 5:   17E Trig Formulas for dot and cross Products
  609.    wt: 5:   12 Graph of tangent function for one period
  610.    wt: 5:   9 Graphs of sine and cosine over one period
  611.    wt: 5:   5 sines and cosines for reference angle 60 degrees
  612.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  613.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  614.    wt: 5:   20 N th Roots of Complex Numbers
  615.    wt: 5:   14 Law of cosines
  616.    wt: 5:   4 Multiplication Properties
  617.    wt: 5:   7 Trignometric Ratios Unit Circle
  618.    wt: 5:   4 Side Side Side
  619.    wt: 5:   19 Signed Multiples of Vectors
  620.    wt: 5:   2 Integers
  621.    wt: 5:   7 Cautious or Safe Set Construction
  622.    wt: 5:   3 Counting with Sets etc
  623.    wt: 5:   2 Venn Diagrams
  624.    wt: 5:   1 Three Skills For Algebra
  625.    wt: 5:   6 GCD from Prime
  626.    wt: 5:   10 dividing signed numbers
  627.    wt: 5:   8 multiplying signed numbers
  628.    wt: 5:   21 Working With Signs
  629.    wt: 5:   D Remainders Modulo 11 Pair Rule
  630.    wt: 5:   5 Zero Movement and Additive Inverses
  631.    wt: 5:   The 12 Times Table Visually
  632.    wt: 5:   5 Conversion Arithmetic
  633.    wt: 5:   2 Indefinite Integrals Exercises
  634.    wt: 5:   1 Chain Rule in Reverse Integration Method
  635.    wt: 5:   10 Three one sided limits with infinite values
  636.    wt: 5:   9 Limits Continuity and Composition
  637.    wt: 5:   G.5 Motions With Bounded Velocities
  638.    wt: 5:   F.4 Finite Covering Theorem
  639.    wt: 5:   D2 Limits of Monotone Sequences
  640.    wt: 5:   index
  641.    wt: 5:   Appendix C. How to Read
  642.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  643.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  644.    wt: 5:   Chapter 18. Rules for Algebra
  645.    wt: 5:   Chapter 15. Solving Linear Equations
  646.    wt: 5:   Chapter 12. Shorthand Usage Guide
  647.    wt: 5:   Chapter 11. Why Shorthand
  648.    wt: 5:   Chapter 8 Three Skills For Algebra
  649.    wt: 5:   Chapter 4 Longer Chains of Reason
  650.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  651.    wt: 5:   Postscript B Mathematics Education References
  652.    wt: 5:   Postscript A Three Remarks
  653.    wt: 5:   Foreword
  654.    wt: 5:   S Adding words to algebra
  655.    wt: 5:   N Mathematics Prepare for College Studies
  656.    wt: 5:   N Improving Marks on Tests and Finals
  657.    wt: 5:   I. Logic and language skills
  658.    wt: 5:   D. Check work a must with a caution
  659.    wt: 5:   Which Way To Go
  660.    wt: 4:   liens
  661.    wt: 4:   deux definitions pour variable
  662.    wt: 4:   2 Conductance Resistance Duality02
  663.    wt: 4:   1 Conductance Resistance Duality01
  664.    wt: 4:   F Wire Resistance Calculation04
  665.    wt: 4:   D Wire Resistance Calculation02
  666.    wt: 4:   C Wire Resistance Calculation01
  667.    wt: 4:   B Wire Resistance Qualitative02
  668.    wt: 4:   3 Like resistors in parallel
  669.    wt: 4:   24 Standards For Skill Develoment Take II
  670.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  671.    wt: 4:   18 Primary School Mathematics
  672.    wt: 4:   17 Math Booklets for children and young teenagers
  673.    wt: 4:   14 Multiplication and Times Tables
  674.    wt: 4:   4 Learning Takes Time and Effort
  675.    wt: 4:   3 Preparing for Science Studies
  676.    wt: 4:   23 Inverse Functions
  677.    wt: 4:   18 Vertical Line Rule and Method
  678.    wt: 4:   12 Function Domain Recognition Exercises
  679.    wt: 4:   10 Interval Notation
  680.    wt: 4:   8 Set view of relations and functions
  681.    wt: 4:   1 Geometric Introduction of Function Notation
  682.    wt: 4:   Introduction Reading Guide
  683.    wt: 4:   8 Notes for instructors or tutors
  684.    wt: 4:   7 Links Lessons Elsewhere
  685.    wt: 4:   2 cosine function more properties
  686.    wt: 4:   1 cosine function properties
  687.    wt: 4:   28 Expressing products of sines cosines as sums
  688.    wt: 4:   17F Law of cosines
  689.    wt: 4:   8 period of tangent function
  690.    wt: 4:   7 period of sine and cosine
  691.    wt: 4:   1 Unit Points Reflections Rotations
  692.    wt: 4:   19 N th Roots of Unity
  693.    wt: 4:   18 Sixth Roots of Unity
  694.    wt: 4:   17 Cube Roots of unity
  695.    wt: 4:   8 Unit Circle Development of Trigonometry
  696.    wt: 4:   6 Field Properties of Complex Number
  697.    wt: 4:   About Folder Contents
  698.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  699.    wt: 4:   8 Sets of Numbers
  700.    wt: 4:   6 Power Set Notation
  701.    wt: 4:   5 Product Builder Notation
  702.    wt: 4:   4 Subset Builder Notation
  703.    wt: 4:   About Folder Contents
  704.    wt: 4:   12 Adding Integers More Examples
  705.    wt: 4:   10 Integer Multiplication Formulas
  706.    wt: 4:   8 Multiplication by Signed Numbers Integers
  707.    wt: 4:   1 Integers as Coordinates
  708.    wt: 4:   Appendix B. How To Learn
  709.    wt: 4:   Chapter 28 Occurrence Tables
  710.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  711.    wt: 4:   Chapter 21. Third Reading Guide
  712.    wt: 4:   Chapter 19. Functions and Sets
  713.    wt: 4:   Chapter 16. Painless Theorem Proving
  714.    wt: 4:   Solutions For Arithmetic Exercises
  715.    wt: 4:   Chapter 12 Four Phases
  716.    wt: 4:   Chapter 11 Elementary Instruction
  717.    wt: 4:   Chapter 10 Transition
  718.    wt: 4:   Chapter 7 Two Treatments of Geometry
  719.    wt: 4:   Chapter 1 Introduction
  720.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  721.    wt: 4:   M Words to extend arithmetic
  722.    wt: 4:   L Skills with take home value
  723.    wt: 4:   G. Written work formats for developing and showing skill
  724.    wt: 4:   F. The student teacher tutor feedback loop
  725.    wt: 4:   C. Domino effect of being careful
  726.    wt: 4:   A. Skill has to be seen to believed
  727.    wt: 3:   problemes responses
  728.    wt: 3:   logique deux enigme
  729.    wt: 3:   2 Unlike resistors in parallel01
  730.    wt: 3:   24 Standards For Skill Develoment
  731.    wt: 3:   22 Student Centered Highschool Mathematics
  732.    wt: 3:   11 Help and Defend Your Child or Teens Education
  733.    wt: 3:   9 Streaming by Student Cooperation
  734.    wt: 3:   8 The Effect of Negative Remarks
  735.    wt: 3:   2 Reading and Writing Skills
  736.    wt: 3:   26 Function definitions done and coming
  737.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  738.    wt: 3:   9 Set theory term relation possible origins
  739.    wt: 3:   7 Functions with finite domains
  740.    wt: 3:   Unit Circle Development of Trigonometry
  741.    wt: 3:   1 Finite Sets
  742.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  743.    wt: 3:   B Integer Long Division Multiple Choices
  744.    wt: 3:   7 Multiplication by Signs
  745.    wt: 3:   4 Adding Movements wiht opposite directions
  746.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  747.    wt: 3:   The 20 Times Table
  748.    wt: 3:   About folder contents
  749.    wt: 3:   Postscript More on Better Performance
  750.    wt: 3:   Postscript For Better Performance
  751.    wt: 3:   Chapter 9 The Two Ends
  752.    wt: 3:   Chapter 8 Modern Instruction
  753.    wt: 3:   Chapter 5 Four References
  754.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  755.    wt: 3:   J. More on written work and showing skill
  756.    wt: 3:   E. When and how to correct errors
  757.    wt: 3:   How to Build Skills and Confidence
  758.    wt: 2:   3 Energy Power Heat08
  759.    wt: 2:   C Energy Power03
  760.    wt: 2:   B Electromotive force conventional current01
  761.    wt: 2:   Home Tutoring and Home Schooling
  762.    wt: 2:   15 Counting For Parents
  763.    wt: 2:   10 Ends values for work study instruction
  764.    wt: 2:   7 Student Motivation
  765.    wt: 2:   1 Speaking Skills
  766.    wt: 2:   14 Surjections Injections Bijections
  767.    wt: 2:   9 Multiplying Integers
  768.    wt: 2:   Foreword
  769.    wt: 2:   Foreword
  770.    wt: 2:   H more Routine to non routine problem solving
  771.    wt: 2:   B. Domino effect of errors
  772.    wt: 2:   Road Safety Questions
  773.    wt: 1:   4 Energy Power Heat09
  774.    wt: 1:   2 Energy Power Heat07
  775.    wt: 1:   1 Energy Power Heat06
  776.    wt: 1:   A Energy Power01
  777.    wt: 1:   1 Like resistors in series
  778.    wt: 1:   F Unlike Resistors in Series
  779.    wt: 1:   E Kirchoffs Second Law
  780.    wt: 1:   D Kirchoff First Law
  781.    wt: 1:   C Electromotive force conventional current02
  782.    wt: 1:   A Circuit Elements
  783.    wt: 19:   13 Pythagorean spatial distance formulas
  784.    wt: 16:   Parallel Lines and Parallel Transversals
  785.    wt: 16:   Parallel Lines and Alternating Corresponding Angles
  786.    wt: 16:   10 Pythagorean plane distance formula
  787.    wt: 16:   5 Cartesian Addition and Translation
  788.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  789.    wt: 15:   3 Rectangular Coordinates Review
  790.    wt: 15:   3 Lengths and Areas on Maps and Plans
  791.    wt: 15:   3 GE III Equation Addition and Multiplication
  792.    wt: 15:   3 Harder Cases Convert to Compare and Subtract
  793.    wt: 14:   Ramblings Introduction Algebra Essay
  794.    wt: 14:   sign monoticity analysis example 3
  795.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  796.    wt: 14:   3 Circle Arclengh Proportional to Central Angle
  797.    wt: 14:   Proportionality of Line Segments From Parallel Transversals
  798.    wt: 14:   13 Navigation Location from Angles to 2 Landmarks
  799.    wt: 14:   6 Polar Multiplication and Rotation
  800.    wt: 14:   1 Cartesian Coordinates sans signs
  801.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  802.    wt: 14:   3 Solving triangular system example
  803.    wt: 14:   Long Division forwards and backwards Example 3
  804.    wt: 14:   1 Comparison and Subtraction Easy Direct Cases
  805.    wt: 14:   3. How to add with decimals A sans conversions
  806.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  807.    wt: 14:   Chapter 3. Slope Sign Analysis
  808.    wt: 13:   Appendix 1 primary and preschool mathematic
  809.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  810.    wt: 13:   Skills Chapter 3 Algebra
  811.    wt: 13:   8 quadratics backward use of various formulas
  812.    wt: 13:   9 Summary Degrees to Radians and back
  813.    wt: 13:   7 Radian Measures in special Triangles
  814.    wt: 13:   4 Circle Sector Area proportional to Central Angle
  815.    wt: 13:   2 Radian Measure Numerical Value of one degree
  816.    wt: 13:   Parallel Lines and Interior Angles
  817.    wt: 13:   Construction Methods and Criteria for Isometric and Similar Triangles
  818.    wt: 13:   3 Straight Lines Slope as Tangent of Inclination Angle
  819.    wt: 13:   12 Spatial Coordinates
  820.    wt: 13:   9 Pythagorean Theorem Chinese Square Proof
  821.    wt: 13:   8 Distance Between Points on a Line
  822.    wt: 13:   7 Complex Numbers Appetizer
  823.    wt: 13:   4 Polar Coordinates to and from
  824.    wt: 13:   2 Cartesian Coordinates with signs
  825.    wt: 13:   4 Angles on Maps Plans drawn to scale
  826.    wt: 13:   4 Comparison of Negative Numbers
  827.    wt: 13:   2 More and Less Than for Counts and Measures
  828.    wt: 13:   1 Real Numbers Comparison
  829.    wt: 13:   4 Solving a triangular system exercise
  830.    wt: 13:   3 Two Examples
  831.    wt: 13:   3 Triangle Area Formula Example
  832.    wt: 13:   2 Another Rectangle Area Formula Example
  833.    wt: 13:   A Decimals Modular and Remainder Arithmetic
  834.    wt: 13:   10 video Prime Factorization upto 23 squared
  835.    wt: 13:   5 Prime Factorization and a Square Rule
  836.    wt: 13:   Long Division forwards and backwards Example 2
  837.    wt: 13:   Long Division forwards and backwards Example 1
  838.    wt: 13:   Appendix 1 Decimals Comparison Method Take II
  839.    wt: 13:   Example 1. Area Between x and x squared
  840.    wt: 13:   Chapter 18. Slopes Areas Integration
  841.    wt: 13:   Chapter 17. Area Approximation
  842.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  843.    wt: 13:   Chapter 14 Limits and Continuity with and sans Decimals
  844.    wt: 13:   Chapter 13. Acceleration
  845.    wt: 13:   Fall 1983 Calculus Appetizer
  846.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  847.    wt: 12:   E LAMP Introduction Modern Mathematics
  848.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  849.    wt: 12:   sign monoticity analysis example 4
  850.    wt: 12:   sign monoticity analysis example 2
  851.    wt: 12:   sign monoticity analysis example 1
  852.    wt: 12:   6 quadratics numerical approach
  853.    wt: 12:   5 Natural Logarithm Calculator Exercises
  854.    wt: 12:   8 Radian Measures of Common Angles
  855.    wt: 12:   1 Degrees and Radians Introduction
  856.    wt: 12:   14 Why Scalar Multiplication Distributes Physical Argument
  857.    wt: 12:   2 Graphing y=Af(x) Vertical Scaling
  858.    wt: 12:   14 Straight Lines Equations General Case
  859.    wt: 12:   34 sines and cosines of 2A 3A 4A 5A
  860.    wt: 12:   33 sines and cosines of 2A 3A 4A 5A
  861.    wt: 12:   11 Triangle Inequality
  862.    wt: 12:   5 Drawing to Scale Avoids Angle Distortions
  863.    wt: 12:   3 Inequalities Algebraically
  864.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  865.    wt: 12:   4 Rates Ratios and Proporitionality
  866.    wt: 12:   3 Proportionality Examples
  867.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
  868.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  869.    wt: 12:   5 Greater More Less Than Signs in General
  870.    wt: 12:   3 More and Less Than with Unlike Signs
  871.    wt: 12:   4 GE III Animated Examples
  872.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  873.    wt: 12:   3 Comparison of Negative Numbers
  874.    wt: 12:   13 Remainder Arithmetic Modulo 5 Example
  875.    wt: 12:   9 Remainder Arithmetic Divisibility by 5
  876.    wt: 12:   18 video Count Factors given Prime Factorization
  877.    wt: 12:   15 video Factors of 20 using Prime Factorization
  878.    wt: 12:   9 video Prime Factorization upto 19 squared
  879.    wt: 12:   7 Calculator Usage Notes and Cautions
  880.    wt: 12:   4 video Prime Factorization Introduction
  881.    wt: 12:   3 video Primes and Composites from 9 times table
  882.    wt: 12:   A Elementary Basis for Multiplication Methods
  883.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  884.    wt: 12:   Subtraction Another Video Lesson
  885.    wt: 12:   7 Subtraction for Decimal Fractions with Exercises
  886.    wt: 12:   2 Subtraction Easy Case Examples
  887.    wt: 12:   7 Adding decimal fractions using decimal point
  888.    wt: 12:   11 Place Value SI Standard International way
  889.    wt: 12:   33 Chain Rule Real Player video examples
  890.    wt: 12:   1 Fall 1983 Why Slopes Appetizer
  891.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  892.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  893.    wt: 12:   Chapter 4. More Slope Sign Analysis
  894.    wt: 12:   Chapter 2. Slopes and Ski Trails
  895.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  896.    wt: 11:   Appendix 2 primary school Arithmetic 01
  897.    wt: 11:   I LAMP Introduction Study Habits
  898.    wt: 11:   H LAMP Introduction Instructional Concepts
  899.    wt: 11:   F LAMP Introduction Prerequisites
  900.    wt: 11:   Ramblings Extrinsic numbers theory
  901.    wt: 11:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  902.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  903.    wt: 11:   A Quadratics Summary
  904.    wt: 11:   9 quadratics physical and further context
  905.    wt: 11:   7 quadratic formulla derivation
  906.    wt: 11:   3 quadratics factoring by inspection
  907.    wt: 11:   2 quadratics graphing in general
  908.    wt: 11:   1 quadratics graphing exercises
  909.    wt: 11:   6 Radian Measure to Degrees
  910.    wt: 11:   5 Degrees to Radian Measure
  911.    wt: 11:   7 Coordinate Addition and Scalar Multiplication
  912.    wt: 11:   Triangle Angles Sum To 180 Degrees
  913.    wt: 11:   SAS Method For Isometric Or Proportional Triangle Construction
  914.    wt: 11:   13 Straight Lines Finding Equations from 2 points
  915.    wt: 11:   12 Straight Lines Graphing mx plus b
  916.    wt: 11:   7 Tangent Function is odd on this domain
  917.    wt: 11:   6 Tangent Function Inclination Angle Take 2
  918.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  919.    wt: 11:   35 sines and cosines of 2A 3A 4A 5A
  920.    wt: 11:   7 Translations Rotations Reflections Dilatations
  921.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  922.    wt: 11:   8 More Use of Maps Not Drawn to Scale
  923.    wt: 11:   25 Mid way Convergence to Axiomatic Approach
  924.    wt: 11:   15 Head to Tails in place Addition Associative
  925.    wt: 11:   5 Areas of Rectangles Revisited
  926.    wt: 11:   4 Fraction Operations Axiomatic Development
  927.    wt: 11:   5 Proportionality in Equivalent Fractions
  928.    wt: 11:   1 What is Proportionality
  929.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  930.    wt: 11:   5 Triangle Area Formula Backwards
  931.    wt: 11:   4 Subtraction and Division Axioms
  932.    wt: 11:   2 Addition and Multiplication Axioms
  933.    wt: 11:   2 GE II Comparison
  934.    wt: 11:   2 Essentially one exercises three with solution
  935.    wt: 11:   6 Algebraic Solution Example
  936.    wt: 11:   5 Algebraic Solutions Introduction
  937.    wt: 11:   4 Four Examples Fractional Coefficients
  938.    wt: 11:   3 Four Examples
  939.    wt: 11:   10 One Example
  940.    wt: 11:   9 Three Examples
  941.    wt: 11:   8 One Example
  942.    wt: 11:   7 Two Examples
  943.    wt: 11:   6 Three Examples
  944.    wt: 11:   5 Three Examples
  945.    wt: 11:   4 Two Examples
  946.    wt: 11:   2 Three Examples
  947.    wt: 11:   4 Circle Area Formula Example
  948.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  949.    wt: 11:   13 Fraction Comparison Algebraic View
  950.    wt: 11:   8 Numerals Fractionals Quantals Take II
  951.    wt: 11:   15 Remainder Arithmetic Modulo 9 Example
  952.    wt: 11:   14 Remainder Arithmetic Modulo 9 Example
  953.    wt: 11:   12 Remainder Arithmetic Modulo 10 Example
  954.    wt: 11:   11 Remainder Arithmetic Long Division by 5 Quickly more
  955.    wt: 11:   10 Remainder Arithmetic Long Division by 5 Quickly
  956.    wt: 11:   8 Remainder Arithmetic Morulo 5 Examples II
  957.    wt: 11:   7 Remainder Arithmetic Modulo 5 Examples I
  958.    wt: 11:   19 video Prime Factorization Unique
  959.    wt: 11:   13 video Factors of 24 using prime
  960.    wt: 11:   8 video Prime Factorization upto 19
  961.    wt: 11:   1 video how Products are bigger than factor
  962.    wt: 11:   Long Division Backward
  963.    wt: 11:   3 Division Single Digit Divisor Example
  964.    wt: 11:   Video Decimal Multiplication Geometric View Example 2
  965.    wt: 11:   Video Power Notation in Decimal Expansion
  966.    wt: 11:   Appendix 2 Three Decimal Subtraction Methods
  967.    wt: 11:   Subtraction with J Conversions Example
  968.    wt: 11:   6 Subtraction with Conversion Example with Exercises
  969.    wt: 11:   Appendix 1 Counting Revisited 15 minute video
  970.    wt: 11:   8 What skills and work habits to require
  971.    wt: 11:   6. Counting and adding units and mixed units
  972.    wt: 11:   5. How to add decimals C. Examples
  973.    wt: 11:   1. Explaining Addition Table
  974.    wt: 11:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  975.    wt: 11:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  976.    wt: 11:   5 More on Groups of 3 Place Value in Decimal Fractions
  977.    wt: 11:   4 Groups of 3 Place Value in Decimal Fractions
  978.    wt: 11:   3 More on Groups of 3 Multi Digit Place Value
  979.    wt: 11:   Example 1 volume of a pyramid
  980.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  981.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  982.    wt: 11:   Example 3
  983.    wt: 11:   Area Between Curves Lesson Take 2
  984.    wt: 11:   Area Between Curves Lesson Take 1
  985.    wt: 11:   A Chain Rule Real Player video examples
  986.    wt: 11:   38 Formulas and derivatives for powers and roots
  987.    wt: 11:   Postscript Pythagorean Theorem yet another proof
  988.    wt: 11:   Chapter 23 Links To Trigonometry
  989.    wt: 11:   Chapter 21 Arrow Addition
  990.    wt: 11:   Chapter 20 Vectors and Complex Numbers
  991.    wt: 11:   Chapter 16. Velocity Approximation
  992.    wt: 11:   Chapter 15. Slope Approximation
  993.    wt: 11:   Chapter 12. Units and Slopes
  994.    wt: 11:   Chapter 10 Slopes and Units
  995.    wt: 11:   Chapter 9 About First Courses in Calculus
  996.    wt: 11:   Chapter 7 Slopes and Velocity
  997.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  998.    wt: 11:   Chapter 3 What is in chapters 4 to 8
  999.    wt: 11:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1000.    wt: 10:   K LAMP Musings Science Education
  1001.    wt: 10:   J LAMP Introduction Extrinsic Origins
  1002.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1003.    wt: 10:   A Introduction Objectives
  1004.    wt: 10:   Skills Chapter 5 Calculus
  1005.    wt: 10:   Skills Chapter 1 Arithmetic
  1006.    wt: 10:   Skills Chapter 0 Introduction
  1007.    wt: 10:   7 logic review and decimals an odd combination
  1008.    wt: 10:   5 logarithms and exponentials etc
  1009.    wt: 10:   3 Euclidean Geometry Leanly
  1010.    wt: 10:   Applied Maths Program14092009 POMME variant
  1011.    wt: 10:   teaching tutoring algebraic reason
  1012.    wt: 10:   10 quadratic exercises
  1013.    wt: 10:   5 quadratics completing the square
  1014.    wt: 10:   4 quadratics difference of two squares
  1015.    wt: 10:   Quadratics in 10 steps
  1016.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1017.    wt: 10:   1 Calculator Starter Exercises
  1018.    wt: 10:   A Global Time and Navigation
  1019.    wt: 10:   3 Navigation with Arrows or Vectors
  1020.    wt: 10:   4 graphing y=Asin(x c)
  1021.    wt: 10:   3 graphing y=f(x c) plus K
  1022.    wt: 10:   1 graphing y=f(x a)
  1023.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  1024.    wt: 10:   Straight Lines ASA Intersection Study More
  1025.    wt: 10:   Straight Lines ASA Intersection Study
  1026.    wt: 10:   D Straight Lines Slope from Coordinates Examples
  1027.    wt: 10:   A Straight Line Slope Scaling Properties
  1028.    wt: 10:   11 Straight Lines Graphing y=mx
  1029.    wt: 10:   10 Straight Lines through Origin Equations More
  1030.    wt: 10:   9 Straight Lines through Origin Equations
  1031.    wt: 10:   8 Straight Lines Equation for vertical
  1032.    wt: 10:   10 Similarity of Triangles Equivalent of Two Criteria
  1033.    wt: 10:   9 Similarity of Triangles Usual Criteria
  1034.    wt: 10:   6 Geometric Diagrams in Class
  1035.    wt: 10:   5 Similarity of Circles Squares and Rectangles
  1036.    wt: 10:   3 Similarity by Design with coordinates
  1037.    wt: 10:   11 A Partial Summary
  1038.    wt: 10:   What is and is not here
  1039.    wt: 10:   PS D Addition with Cartesian Coordinates
  1040.    wt: 10:   13 Angle Side Angle Failure
  1041.    wt: 10:   6 Figuring with Maps Not to Scale
  1042.    wt: 10:   2 Measuring Area Directly
  1043.    wt: 10:   A Modular and Remainder Arithmetic
  1044.    wt: 10:   26 More Less Greater Than Comparison
  1045.    wt: 10:   23 Distributive Law Two Derivations
  1046.    wt: 10:   13 Arrows and Vectors in a Plane
  1047.    wt: 10:   B Decimal Comparison and Subtraction
  1048.    wt: 10:   2 Fraction Operations Physical Development
  1049.    wt: 10:   2 Algebraic View
  1050.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1051.    wt: 10:   5 Equality in Algebra
  1052.    wt: 10:   8 Coordinates for Maps and Planes
  1053.    wt: 10:   3 Geometric Formulas and Function Notation
  1054.    wt: 10:   1 GE Substitution four examples
  1055.    wt: 10:   1 Essentially One Unknown
  1056.    wt: 10:   1 Proper Equal Sign Usage
  1057.    wt: 10:   Skill Development Notes
  1058.    wt: 10:   13 Naming Identifying Formulas with Words
  1059.    wt: 10:   8 Compound Interest Formula Evaluation
  1060.    wt: 10:   1 More and Less Than for Counts and Measures
  1061.    wt: 10:   1 Squares and Square Roots Introduction
  1062.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1063.    wt: 10:   2 Least Common Multiple LCM intro via list method
  1064.    wt: 10:   3 signed coordinates for maps and planes
  1065.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1066.    wt: 10:   16 Addition Subtraction Comparision Compared
  1067.    wt: 10:   7 Numerals Fractionals Quantals
  1068.    wt: 10:   6 Multiplication Algebraically Take II
  1069.    wt: 10:   3 Unit fraction of a fraction
  1070.    wt: 10:   1 What is a fraction Take II
  1071.    wt: 10:   27 Divisibility by 2 3 6 5 9 10 Example
  1072.    wt: 10:   26 Divisibility by 2 3 5 Example
  1073.    wt: 10:   25 Divisibility Tests for 2 3 5 9 10 Example
  1074.    wt: 10:   23 Remainder Arithmetic Modulo 2
  1075.    wt: 10:   22 Remainder Arithmetic Modulo 3 more
  1076.    wt: 10:   21 Remainder Arithmetic Modulo 3
  1077.    wt: 10:   19 Remainder Arithmetic Rule of 9 for checking sums III
  1078.    wt: 10:   16 Remainder Arithmetic Modulo 9 Example 2
  1079.    wt: 10:   6 Remainder Arithmetic Modulo 5 Propertie
  1080.    wt: 10:   4 Remainder Arithmetic Modulo 10 in general
  1081.    wt: 10:   3 Remainder Arithmetic Modulos 10 more still
  1082.    wt: 10:   20 Uniqueness of Prime Factorization
  1083.    wt: 10:   14 video Factors of 24 Take II
  1084.    wt: 10:   6 Sieve of Eratosthenes and Square Rule
  1085.    wt: 10:   Long Division Backwards more
  1086.    wt: 10:   7 Long Divison Mistake Catching
  1087.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  1088.    wt: 10:   5 Decimal Fraction Multiplication
  1089.    wt: 10:   8 Subtraction with Units of Measure
  1090.    wt: 10:   5 A Tip for Efficent Subtraction
  1091.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1092.    wt: 10:   4. How to add with decimals B with conversions
  1093.    wt: 10:   2 Decimal Counting Practices
  1094.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1095.    wt: 10:   Example 2 volume of a cone
  1096.    wt: 10:   Example 4 with x function of y
  1097.    wt: 10:   Example 2
  1098.    wt: 10:   Example 1
  1099.    wt: 10:   36 Cube root derivative animated
  1100.    wt: 10:   28 Chain Rule Preparation for a Proof
  1101.    wt: 10:   25 Chain Rule Animated Examples Continued
  1102.    wt: 10:   24 Chain Rule Animated Examples
  1103.    wt: 10:   7 Animated Differentiation Examples
  1104.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1105.    wt: 10:   B3 Bolzano Weierstrass Theorem
  1106.    wt: 10:   Chapter 22 Complex Numbers
  1107.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1108.    wt: 10:   Chapter 8. Slope Interpretation
  1109.    wt: 10:   Chapter 1.Introduction
  1110.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1111.    wt: 10:   Chapter 17 Objective Ways Trial and Error Discovery
  1112.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1113.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1114.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1115.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge
  1116.    wt: 10:   More Algebra and Slope based Calculus Preview
  1117.    wt: 10:   Systematic Algebra Skill Development Missing Links
  1118.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1119.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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.