Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters. For better or best skill development practices, see site chapters and steps.

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.

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

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1053 matches:

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

Extended Search

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

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

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

Geometry
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3 Rct +Polr Coordinates
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Logarithms-ax & m/nth roots
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What is a Variable
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