Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

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

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

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: 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. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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

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

Extended Search

1139 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:   10 quadratic exercises
  13.    wt: 9:   Quadratics in 10 steps
  14.    wt: 9:   10 Exponential Growth and Decay Models
  15.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  16.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  17.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  18.    wt: 9:   2 Square Root Simplification a prequel
  19.    wt: 9:   1 Calculator Starter Exercises
  20.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  21.    wt: 9:   A Global Time and Navigation
  22.    wt: 9:   3 Navigation with Arrows or Vectors
  23.    wt: 9:   4 graphing y=Asin(x c)
  24.    wt: 9:   3 graphing y=f(x c) plus K
  25.    wt: 9:   1 graphing y=f(x a)
  26.    wt: 9:   SAS Method For Isometric Or Proportional Triangle Construction
  27.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  28.    wt: 9:   Straight Lines ASA Intersection Study More
  29.    wt: 9:   Straight Lines ASA Intersection Study
  30.    wt: 9:   D Straight Lines Slope from Coordinates Examples
  31.    wt: 9:   A Straight Line Slope Scaling Properties
  32.    wt: 9:   11 Straight Lines Graphing y=mx
  33.    wt: 9:   10 Straight Lines through Origin Equations More
  34.    wt: 9:   9 Straight Lines through Origin Equations
  35.    wt: 9:   8 Straight Lines Equation for vertical
  36.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
  37.    wt: 9:   7 Translations Rotations Reflections Dilatations
  38.    wt: 9:   11 A Partial Summary
  39.    wt: 9:   13 Angle Side Angle Failure
  40.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  41.    wt: 9:   A Modular and Remainder Arithmetic
  42.    wt: 9:   13 Arrows and Vectors in a Plane
  43.    wt: 9:   B Decimal Comparison and Subtraction
  44.    wt: 9:   6 Compound Interest Forward and Backwards
  45.    wt: 9:   3 Linear Equation Literal Solution More
  46.    wt: 9:   3 Product Axioms Two Forms
  47.    wt: 9:   1 Equivalent Computation Rules
  48.    wt: 9:   2 Computation Rules Evaluation
  49.    wt: 9:   1 Formulas Dependence and Function Notation
  50.    wt: 9:   2 Three Examples
  51.    wt: 9:   Formula Usage Show Work Format
  52.    wt: 9:   7 Compound Interest Formula Introduction
  53.    wt: 9:   5 Box Volume Formula Example
  54.    wt: 9:   1 Written work formats for developing and showing skill
  55.    wt: 9:   3 Properties of Square Roots with example
  56.    wt: 9:   2 Least Common Multiple LCM intro via list method
  57.    wt: 9:   3 Counting with Tables and Trees II
  58.    wt: 9:   17 Efficient Ways to Add and Subtract
  59.    wt: 9:   16 Addition Subtraction Comparision Compared
  60.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  61.    wt: 9:   14 Adding and Subtracting with Like Denominators
  62.    wt: 9:   11 Simplification an Algebraic View
  63.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
  64.    wt: 9:   1 What is a fraction Take II
  65.    wt: 9:   23 Remainder Arithmetic Modulo 2
  66.    wt: 9:   22 Remainder Arithmetic Modulo 3 more
  67.    wt: 9:   21 Remainder Arithmetic Modulo 3
  68.    wt: 9:   19 Remainder Arithmetic Rule of 9 for checking sums III
  69.    wt: 9:   16 Remainder Arithmetic Modulo 9 Example 2
  70.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  71.    wt: 9:   10 Remainder Arithmetic Long Division by 5 Quickly
  72.    wt: 9:   6 Remainder Arithmetic Modulo 5 Propertie
  73.    wt: 9:   4 Remainder Arithmetic Modulo 10 in general
  74.    wt: 9:   3 Remainder Arithmetic Modulos 10 more still
  75.    wt: 9:   19 video Prime Factorization Unique
  76.    wt: 9:   14 video Factors of 24 Take II
  77.    wt: 9:   8 video Prime Factorization upto 19
  78.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  79.    wt: 9:   Long Division Backward
  80.    wt: 9:   D Decimal Multiplication Methods Derived
  81.    wt: 9:   C Counting Areas with Powers of Ten
  82.    wt: 9:   6 Multiplication Commutes Order Not Important
  83.    wt: 9:   3 More One Digit Multipliers
  84.    wt: 9:   1 Why 3 times 5 gives 15
  85.    wt: 9:   9 22 Minute Subtraction Review Video
  86.    wt: 9:   34 Derivative of exponential function
  87.    wt: 9:   31 Derivatives of inverse functions
  88.    wt: 9:   30Chain Rule A Proof
  89.    wt: 9:   29 Chain Rule Optional Reading
  90.    wt: 9:   23 Chain Rule in general
  91.    wt: 9:   22 Chain Rule for polynomials
  92.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  93.    wt: 9:   15 sine and cosine derivatives 3rd step
  94.    wt: 9:   13 sine and cosine derivatives 1st step
  95.    wt: 9:   3 Motivation for Limit Definition Take 2
  96.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  97.    wt: 9:   B3 Bolzano Weierstrass Theorem
  98.    wt: 9:   PostScript For and Against Decimal Perspectives
  99.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  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:   7 Games and Activities for Instruction
  108.    wt: 9:   1 From Number Recognition and Counting to Arithmetic A
  109.    wt: 9:   Systematic Algebra Skill Development Missing Links
  110.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  111.    wt: 8:   11 pure mathematics
  112.    wt: 8:   9 combinatorics probability sets
  113.    wt: 8:   6 polynomials etc
  114.    wt: 8:   4 algebra
  115.    wt: 8:   Teach the teachers plus goals
  116.    wt: 8:   Mathematics Education Professors
  117.    wt: 8:   learning takes time
  118.    wt: 8:   grouping students according to ability
  119.    wt: 8:   mathematics in context
  120.    wt: 8:   Education Reform Inconsistencies
  121.    wt: 8:   Maps Plans Drawings
  122.    wt: 8:   Secondary Three Mathematics
  123.    wt: 8:   Secondary Two Mathematics
  124.    wt: 8:   Secondary One Mathematics
  125.    wt: 8:   geometric implications for algebra
  126.    wt: 8:   the trouble with algebra
  127.    wt: 8:   05 13 OldSiteEntrancePage
  128.    wt: 8:   02 20 mathematics education references
  129.    wt: 8:   three aims for mathematics students
  130.    wt: 8:   Operational Viewpoint to Value
  131.    wt: 8:   mathematics instruction in general
  132.    wt: 8:   Different Kinds of Reasoning in maths
  133.    wt: 8:   three kinds of reason in mathematics
  134.    wt: 8:   need for a mixed mathematics curriculum
  135.    wt: 8:   Leaner mathematics curriculum
  136.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  137.    wt: 8:   11 Growth and Decay in Biology
  138.    wt: 8:   3 Polynomials Multiplication Addition
  139.    wt: 8:   10 Parallelogram Addition Method
  140.    wt: 8:   5 Head To Tail Arrow Addition
  141.    wt: 8:   Straight Lines Instersection Solving Equations
  142.    wt: 8:   Straight Lines Intersection of
  143.    wt: 8:   C Straight Lines Slope from Coordinates
  144.    wt: 8:   B Straight Line Slope Scaling Properties More
  145.    wt: 8:   7 Tangent Function is odd on this domain
  146.    wt: 8:   5 Tangent Function Graph
  147.    wt: 8:   31 basic secant cosecant cotangent trig identities
  148.    wt: 8:   29 secant cosecant and cotangent for acute angles
  149.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
  150.    wt: 8:   9 Similarity of Triangles Usual Criteria
  151.    wt: 8:   6 Geometric Diagrams in Class
  152.    wt: 8:   5 Similarity of Circles Squares and Rectangles
  153.    wt: 8:   3 Similarity by Design with coordinates
  154.    wt: 8:   10 Midpoint of [a b] and [b a]
  155.    wt: 8:   5 Algebraic View of Slopes
  156.    wt: 8:   3 Slope product for perpendicular lines
  157.    wt: 8:   1 Numerical view of lines and their equations
  158.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  159.    wt: 8:   PS D Addition with Cartesian Coordinates
  160.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  161.    wt: 8:   2 Measuring Area Directly
  162.    wt: 8:   26 More Less Greater Than Comparison
  163.    wt: 8:   23 Distributive Law Two Derivations
  164.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  165.    wt: 8:   3 Location of Point in Decimal Multiplication
  166.    wt: 8:   A Decimal Addition Columm Methods
  167.    wt: 8:   7 Decimals Multiplication Methods Examples
  168.    wt: 8:   3 Multiplicative Counting Skills Principles
  169.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  170.    wt: 8:   2 Linear Equation Literal Solution
  171.    wt: 8:   1 Changing Calculations
  172.    wt: 8:   8 Coordinates for Maps and Planes
  173.    wt: 8:   5 Independent versus Dependent Variables
  174.    wt: 8:   Using Letters for Physical Quantities
  175.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  176.    wt: 8:   10 Volume of Pyramid
  177.    wt: 8:   3 Comparison of Negative Numbers
  178.    wt: 8:   1 More and Less Than for Counts and Measures
  179.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  180.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  181.    wt: 8:   13 GCD from given Prime Factorization
  182.    wt: 8:   7 GCD and LCM from prime factorization
  183.    wt: 8:   1 Least Common Multiples LCM Introduction
  184.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  185.    wt: 8:   2 Counting with Tables and Trees I
  186.    wt: 8:   3 signed coordinates for maps and planes
  187.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  188.    wt: 8:   1 Addition and Subtraction with Units
  189.    wt: 8:   B Fractions and Two Term Ratios
  190.    wt: 8:   21 Reciprocals for Fractions and Wholes
  191.    wt: 8:   1 What is a fraction
  192.    wt: 8:   A Associative Law Theorectical Note
  193.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  194.    wt: 8:   26 Divisibility by 2 3 5 Example
  195.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  196.    wt: 8:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  197.    wt: 8:   18 Remainder Arithmetic Rule of 9 for checking sums II
  198.    wt: 8:   17 Remainder Arithmetic Rule of 9 for checking sums I
  199.    wt: 8:   5 Remainder Arithmetic Modulo 5
  200.    wt: 8:   2 Remainder Arithmetic Modulo 10 more
  201.    wt: 8:   1 Remainder Arithmetic Modulo 10
  202.    wt: 8:   20 Uniqueness of Prime Factorization
  203.    wt: 8:   17 Identify and Count Factors using Primes
  204.    wt: 8:   16 video Factors of 980 using prime
  205.    wt: 8:   2 Prime and Composites less than 16
  206.    wt: 8:   Long Division Backwards more
  207.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  208.    wt: 8:   3 Division Single Digit Divisor Example
  209.    wt: 8:   4 Two and Three Digit Multipliers
  210.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  211.    wt: 8:   2 Groups of Three Place Value for Multidigit Decimals
  212.    wt: 8:   016 Numbering Occidental Calendar Days
  213.    wt: 8:   9 Comparison and Subtraction of Time Intervals
  214.    wt: 8:   8 Addition of Time Intervals via subtotaling
  215.    wt: 8:   Volume of Solid by Cross Sections Lesson
  216.    wt: 8:   Summary
  217.    wt: 8:   A Related Material in Volume 3
  218.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  219.    wt: 8:   19 Chain Rule for linear functions
  220.    wt: 8:   18 Chain Rule Introduction
  221.    wt: 8:   17 Derivatives of quotients of sine and cosine
  222.    wt: 8:   14 sine and cosine derivatives 2nd step
  223.    wt: 8:   12 Quotient rule examples
  224.    wt: 8:   8 Differentiation of polynomials
  225.    wt: 8:   2 Motivation for Limit Definition Take 1
  226.    wt: 8:   7 Evaluation by immediate or delayed substitution
  227.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  228.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  229.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  230.    wt: 8:   F.3 Intermediate Value Theorem
  231.    wt: 8:   Foreword
  232.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  233.    wt: 8:   Chapter 2 For and Against Mathematics
  234.    wt: 8:   Postscript C Consistency as a Tool for Reason
  235.    wt: 8:   Chapter 24 Direct and Indirect Reason
  236.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
  237.    wt: 8:   Chapter 19 What is in chapters 20 to 24
  238.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  239.    wt: 8:   Chapter 9 What is in Chapters 10 to 18
  240.    wt: 8:   Chapter 7 Longer Chains of Reason
  241.    wt: 8:   Chapter 6 Chains of Reason
  242.    wt: 8:   1 From Number Recognition and Counting to Arithmetic B
  243.    wt: 7:   10 statistics
  244.    wt: 7:   2 arithmetic with signed numbers
  245.    wt: 7:   1 arithmetic with unsigned numbers
  246.    wt: 7:   What is POMME
  247.    wt: 7:   permissions for teachers
  248.    wt: 7:   About site lesson plans
  249.    wt: 7:   teacher certification
  250.    wt: 7:   modern education
  251.    wt: 7:   how letters appear
  252.    wt: 7:   mathematics curriculum shifts
  253.    wt: 7:   Lessening Algebra Difficulties
  254.    wt: 7:   04 29 New Mathematics Curriculum
  255.    wt: 7:   04 25 when to stop or suspend mathemat
  256.    wt: 7:   formal or informal peer review
  257.    wt: 7:   Four ways to improve education reform
  258.    wt: 7:   Motivation and Context Problem
  259.    wt: 7:   Prequel In For A Penny In For A Pound
  260.    wt: 7:   fairness and inductive principles for instruction
  261.    wt: 7:   words for mathematics instructor
  262.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  263.    wt: 7:   chapitre 06 00 Chaines de la raison
  264.    wt: 7:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  265.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  266.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  267.    wt: 7:   13 Addition and Addition Tables
  268.    wt: 7:   Ages 12 to 14 Skills with take home value
  269.    wt: 7:   Ages 3 plus to 4 plus
  270.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  271.    wt: 7:   17 Function maxima minima and their location
  272.    wt: 7:   16 cotangent function Definition Graph and Inverse
  273.    wt: 7:   15 cosecant function Definition Graph and Inverse
  274.    wt: 7:   13 cosecant function Definition Graph and Inverse
  275.    wt: 7:   11 arctan left inverse of tangent Graph
  276.    wt: 7:   12 From Applied To Pure Mathematics
  277.    wt: 7:   9 Head to Tail Coordinate View
  278.    wt: 7:   4 Tangent Function Properties
  279.    wt: 7:   1 Straight Lines Slope Concept
  280.    wt: 7:   32 seven rows of pascals triangle
  281.    wt: 7:   18 sum of sinusoidal waves as a single wave
  282.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  283.    wt: 7:   8 Similarity of Triangles and Polygons
  284.    wt: 7:   1 Early Concept of Like or Similar Shapes
  285.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  286.    wt: 7:   7 Exercises to test skill and concept mastery
  287.    wt: 7:   2 point slope equation for a line
  288.    wt: 7:   What is and is not here
  289.    wt: 7:   PS E Multiplication with Polar Coordinates
  290.    wt: 7:   PS B Parallelogram Construction Methods
  291.    wt: 7:   21 Parallelograms
  292.    wt: 7:   18 Triangle Similarity Take 1
  293.    wt: 7:   16 Angles Subtended By Chords and Diameters
  294.    wt: 7:   14 Parallel Lines Postulate
  295.    wt: 7:   6 Ruler and compass Angle Bisection
  296.    wt: 7:   3 Isometry of Triangles Congruence
  297.    wt: 7:   A Measurement with Ruler Proper Use
  298.    wt: 7:   6 Figuring with Maps Not to Scale
  299.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  300.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  301.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  302.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  303.    wt: 7:   11 Signed Number Addition and Addition Properties
  304.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  305.    wt: 7:   8 Division and Mulplication of Compound Fractions
  306.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  307.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  308.    wt: 7:   4 Location of Point in Decimal Addition
  309.    wt: 7:   1 Fractions with Finite Decimal Expansions
  310.    wt: 7:   C Three Decimal Subtraction Methods
  311.    wt: 7:   8 Column Multiplication Methods in General
  312.    wt: 7:   6 Column Methods for Decimal Multiplication
  313.    wt: 7:   4 Commutative Law Groups Counting Form
  314.    wt: 7:   2 Combing Counts Addition Skills and Principles
  315.    wt: 7:   13 Real Number Subtraction
  316.    wt: 7:   12 Real Number Additive Inverses or Negatives
  317.    wt: 7:   7 Real Numbers as Line Cordinates
  318.    wt: 7:   1 Whole and Natural Numbers
  319.    wt: 7:   4 Changing Letters
  320.    wt: 7:   11 Volume of Sphere
  321.    wt: 7:   9 Volume of Cone
  322.    wt: 7:   6 Three Notions of What is a Variable
  323.    wt: 7:   5 Talking about Numbers and Quantities
  324.    wt: 7:   4 A Brief Story of numbers and algebra
  325.    wt: 7:   2 What is a Variable
  326.    wt: 7:   4 Greater More Less Than Signs in General
  327.    wt: 7:   5 Square Roots with primes more still
  328.    wt: 7:   4 Square Roots with primes more
  329.    wt: 7:   2 Square Roots with Prime
  330.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  331.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  332.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  333.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  334.    wt: 7:   8 GCD from Euclidean Algorithm
  335.    wt: 7:   4 LCM of 8 and 10 via Prime
  336.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  337.    wt: 7:   4 Counting with Trees Product Rule Take I
  338.    wt: 7:   1 Counting and Counting Methods I
  339.    wt: 7:   11 What are real lengths and numbers
  340.    wt: 7:   6 Simplification of Fractions with Units
  341.    wt: 7:   3 Multiplying Units and Numbers
  342.    wt: 7:   2 Equality and Units
  343.    wt: 7:   20 Dividing Fractions the Why
  344.    wt: 7:   12 Fraction Comparison
  345.    wt: 7:   9 Improper Fractions and Mixed Numbers
  346.    wt: 7:   5 Equivalent Fractions
  347.    wt: 7:   4 Fraction Multiplication
  348.    wt: 7:   2 Unit Fraction Multiplication
  349.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
  350.    wt: 7:   12 LCD GCD and LCM using Primes
  351.    wt: 7:   11 Efficient Square Rule Use
  352.    wt: 7:   Division with Counts and Length
  353.    wt: 7:   12 Why Long Division Works Take III
  354.    wt: 7:   11 Another Single Digit Divisor Example
  355.    wt: 7:   10 Division by Five Long and Short Ways
  356.    wt: 7:   9 Why Long Division Works Take II
  357.    wt: 7:   7 Long Divison Mistake Catching
  358.    wt: 7:   1 Divsion Physical Examples
  359.    wt: 7:   B Powers of Ten
  360.    wt: 7:   2 One Digit Multipliers
  361.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  362.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  363.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  364.    wt: 7:   015 School and work day counting tables
  365.    wt: 7:   014 Counting Days with Calendars
  366.    wt: 7:   013 Travel Time Tables
  367.    wt: 7:   010 Repeated Addition of Time Intervals
  368.    wt: 7:   2 Time and Date Matters in School
  369.    wt: 7:   A Related lessons in Volume 3
  370.    wt: 7:   26 Chain Rule Recognising outer inner functions
  371.    wt: 7:   21 Chain Rule for powers
  372.    wt: 7:   20 Chain Rule for Pulley Systems
  373.    wt: 7:   10 Power rule for negative integers
  374.    wt: 7:   9 Reciprocal rule
  375.    wt: 7:   5 Product Rule
  376.    wt: 7:   8 Four Animated Examples
  377.    wt: 7:   2 Algebraic codification
  378.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  379.    wt: 7:   G.3 Constant Difference Theorem Proof
  380.    wt: 7:   F.5a Equicontinuity Theorems
  381.    wt: 7:   F.1 What Functions are Continuous
  382.    wt: 7:   E2 Algebraic Properties of Limits
  383.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  384.    wt: 7:   C Triangle Inequalities
  385.    wt: 7:   A1. Introduction
  386.    wt: 7:   Appendix E. How To Study Mathematics and Why
  387.    wt: 7:   Chapter 31 Direct and Indirect Reason
  388.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  389.    wt: 7:   Chapter 25. Mathematical Induction Examples
  390.    wt: 7:   Chapter 10 Describing and Changing Calculations
  391.    wt: 7:   Chapter 3 Chains of Reason
  392.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  393.    wt: 7:   Chapter 3 Algebra Difficulties
  394.    wt: 7:   Postscript B More on Story Telling and Reason
  395.    wt: 7:   Chapter 21 Occurrence Tables
  396.    wt: 7:   Chapter 18 Sense and Knowledge
  397.    wt: 7:   Chapter 1 Introduction
  398.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  399.    wt: 7:   Helping the Blind in Logic and Mathematics
  400.    wt: 7:   Mathematics Education References
  401.    wt: 7:   Mathematics Education References
  402.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  403.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  404.    wt: 6:   why bother
  405.    wt: 6:   which way to go
  406.    wt: 6:   three goals to set for students
  407.    wt: 6:   activities for students
  408.    wt: 6:   links Education Resources online
  409.    wt: 6:   site eurekas
  410.    wt: 6:   key notes and themes
  411.    wt: 6:   Postscript 2007 01 10
  412.    wt: 6:   teaching tips
  413.    wt: 6:   What to Tell Students
  414.    wt: 6:   02 21 words for teachers
  415.    wt: 6:   Theory of Knowledge
  416.    wt: 6:   cultivating intelligence
  417.    wt: 6:   How to be a better instructor
  418.    wt: 6:   chapitre 07 01 principle D induction mathematique
  419.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  420.    wt: 6:   chapitre 04 04 Parlons de la logique
  421.    wt: 6:   chapitre 02 00 La Communication des idees
  422.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  423.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  424.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  425.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  426.    wt: 6:   Ages 12 to 14 Arithmetic
  427.    wt: 6:   Ages 10 to 12 Arithmetic
  428.    wt: 6:   11 Function Domain Range Source and Targets
  429.    wt: 6:   4 Function notation in and beyond mathematics
  430.    wt: 6:   3 Formula or function graphing exercise
  431.    wt: 6:   5 Polynomials Long division Nonlinear divisor
  432.    wt: 6:   4 Polynomials Long division linear divisor
  433.    wt: 6:   1 Polynomials Distributive Law
  434.    wt: 6:   14 secant function Definition Graph and Inverse
  435.    wt: 6:   12 motivation for term arctan
  436.    wt: 6:   10 arctan left inverse of tangent Definition
  437.    wt: 6:   9 motivation for name arcsin
  438.    wt: 6:   5 Swapping Coordinates is a reflection
  439.    wt: 6:   13 Velocity Vectors in Physics
  440.    wt: 6:   8 Parallel Vectors
  441.    wt: 6:   4 Resultant of a Sum of Movements
  442.    wt: 6:   Vector and Complex Number Applet
  443.    wt: 6:   24 tangent Angle Difference Formula
  444.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  445.    wt: 6:   21 sine and cosine Half Angle Formulas
  446.    wt: 6:   16 Right Triangle Complementary Angle Relations
  447.    wt: 6:   15 sine cosine Complementary Angle Relations
  448.    wt: 6:   14 cosine even and sine and tangent are odd
  449.    wt: 6:   13 Graph of tangent function many periods
  450.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  451.    wt: 6:   13 Trig Formulas for dot and cross Products
  452.    wt: 6:   1 Rectangular Polar Coordinates Review
  453.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  454.    wt: 6:   12 Triangles Similarity More Problems
  455.    wt: 6:   11 Triangle Similarity Missing Side Problem
  456.    wt: 6:   4 Similarity Definition with Coordinate
  457.    wt: 6:   8 Mid Point Formula
  458.    wt: 6:   6 Intersection of lines by solving linear systems
  459.    wt: 6:   4 Equations for lines three forms
  460.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  461.    wt: 6:   PS G Rotation Distributes over Addition
  462.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  463.    wt: 6:   19 Right Triangle Similarity
  464.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  465.    wt: 6:   12 Side Angle Side Failure
  466.    wt: 6:   11 Triangle Construction Fails
  467.    wt: 6:   10 Dropping a perpendicular to line
  468.    wt: 6:   7 Angle Side Angle
  469.    wt: 6:   1 Initial Concepts and Terms
  470.    wt: 6:   1 Length Measurement
  471.    wt: 6:   A Signed Number Arithmetic Review
  472.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  473.    wt: 6:   22 Multiplication of Signed Numbers
  474.    wt: 6:   21 Addition of Multiples of a Single Vector
  475.    wt: 6:   12 Real Numbers Line Signed Coordinates
  476.    wt: 6:   9 Division with Digits after Decimal Point
  477.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  478.    wt: 6:   2 Counting Digits in Decimal Multiplication
  479.    wt: 6:   5 Distributive Law for Whole Numbers
  480.    wt: 6:   16 Real Numbers Comparison
  481.    wt: 6:   14 Real Number Multiplication
  482.    wt: 6:   11 Real Number Addition
  483.    wt: 6:   10 Real Number Lengths and Signs
  484.    wt: 6:   9 Coordinates for Regions in Space
  485.    wt: 6:   5 Rational Numbers More
  486.    wt: 6:   4 Rational Numbers
  487.    wt: 6:   3 Fractions
  488.    wt: 6:   More Exercises
  489.    wt: 6:   Simple Exercises
  490.    wt: 6:   9 Sets in Probability and Statistics
  491.    wt: 6:   3 Adding Words To Arithmetic
  492.    wt: 6:   arithmetic videos Real Player Format
  493.    wt: 6:   2 More and Less Than with Unlike Signs
  494.    wt: 6:   5 Common Divisors 60 45 via Prime
  495.    wt: 6:   12 GCD 2700 288 via Prime
  496.    wt: 6:   7 negative and additive inverse
  497.    wt: 6:   2 signed and unsigned numbers as coordinates
  498.    wt: 6:   7 Converting or Changing Units
  499.    wt: 6:   4 Fractions with Units
  500.    wt: 6:   D Three Term Ratios
  501.    wt: 6:   22 Complex Compound Fractions
  502.    wt: 6:   19 Dividing Fractions How TO
  503.    wt: 6:   18 Efficient Ways to Multiply
  504.    wt: 6:   6 Multiplication of Mixed Numbers
  505.    wt: 6:   13 Subtraction with Additive Inverse
  506.    wt: 6:   11 Adding Integers Formulas and Examples
  507.    wt: 6:   3 Adding Movements with same direction
  508.    wt: 6:   8 Correcting the Mistake
  509.    wt: 6:   Exact Arithmetic Wholes and Fractions
  510.    wt: 6:   Formula Evaluation how to show work
  511.    wt: 6:   Expression Evaluation how to show work
  512.    wt: 6:   012 Division of Time Intervals by Time Intervals
  513.    wt: 6:   7 Addition of Time Intervals
  514.    wt: 6:   4 Mixing and Changing Units of Time
  515.    wt: 6:   3 Units and Lengths of Time
  516.    wt: 6:   1 Intro of Kids To Time Date Skills
  517.    wt: 6:   4 Definite Integrals Evaluation Exercises
  518.    wt: 6:   4 Second derivative test exercise example
  519.    wt: 6:   3 Second derivative test
  520.    wt: 6:   2 Second derivative test prequel
  521.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  522.    wt: 6:   11 Quotient rule
  523.    wt: 6:   6 Power rule from product rule
  524.    wt: 6:   4 Sum Rule
  525.    wt: 6:   11 Limits at infinity Three Examples
  526.    wt: 6:   6 Continuity at a point
  527.    wt: 6:   5 Jumps and absence of unlimited error control
  528.    wt: 6:   4 Numerical properties
  529.    wt: 6:   3 Decimal insights for limits continuity convergence
  530.    wt: 6:   1 Numerical introduction
  531.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  532.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  533.    wt: 6:   F.5b Extreme Value Theorem
  534.    wt: 6:   F.2 Closed Range Theorem
  535.    wt: 6:   E1 Error Control Inequalities
  536.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  537.    wt: 6:   Appendix D. What to do in School and Why
  538.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  539.    wt: 6:   Chapter 30 Truth Tables
  540.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  541.    wt: 6:   Chapter 23. Notation For Sums
  542.    wt: 6:   Chapter 20. Degrees and Radians
  543.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  544.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  545.    wt: 6:   Chapter 13. Second Reading Guide
  546.    wt: 6:   Postscript What is a Variable
  547.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  548.    wt: 6:   Chapter 6 Change of Language
  549.    wt: 6:   Annotated Links to Material Elsehwere
  550.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  551.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  552.    wt: 6:   Postscript A Story Telling
  553.    wt: 6:   Chapter 15 Objective Processes
  554.    wt: 6:   Chapter 10 Responsibility
  555.    wt: 6:   Chapter 5 Deception
  556.    wt: 6:   Chapter 2 Skill Development
  557.    wt: 6:   Three Remarks
  558.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  559.    wt: 6:   Implementation Notes
  560.    wt: 5:   website reviews
  561.    wt: 5:   site origins
  562.    wt: 5:   three difficulties
  563.    wt: 5:   chapitre 04 09 Regles accidentelles
  564.    wt: 5:   chapitre 04 08 Limitations et benefices
  565.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  566.    wt: 5:   chapitre 04 06 engagements
  567.    wt: 5:   chapitre 04 05 Implication versus suggestion
  568.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  569.    wt: 5:   chapitre 04 00 Les regles d implication
  570.    wt: 5:   chapitre 01 00 Introduction
  571.    wt: 5:   A Wire Resistance Qualitative01
  572.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  573.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  574.    wt: 5:   12 Goals and Objectives For Mathematics
  575.    wt: 5:   5 Patience Please for Yourself and Your Charges
  576.    wt: 5:   Ages 12 to 14 Geometry
  577.    wt: 5:   Ages 10 to 12 Geometry
  578.    wt: 5:   Ages 9 to 10
  579.    wt: 5:   Ages 8 to 9
  580.    wt: 5:   Ages 7 to 8
  581.    wt: 5:   Ages 6 to 7
  582.    wt: 5:   Ages 4 plus to 5 plus
  583.    wt: 5:   22 Square Root function graphically
  584.    wt: 5:   20 Interchanging coordinates a reflection
  585.    wt: 5:   16 Increasing or decreasing on intervals
  586.    wt: 5:   13 From one to one to many to one
  587.    wt: 5:   6 Set Existence Formation and Notation
  588.    wt: 5:   5 Function notation for geometric transformations
  589.    wt: 5:   2 Algebraic use of function notation
  590.    wt: 5:   2 Column Multiplication Method
  591.    wt: 5:   Rewriting algebraic substitution as function substitutions
  592.    wt: 5:   8 arcsin left inverse of sine Graph
  593.    wt: 5:   6 Graph of arccos function
  594.    wt: 5:   4 possible motivation for term arccos
  595.    wt: 5:   3 Left Inverse of cosine arccos definition
  596.    wt: 5:   15 Dot and Cross Product
  597.    wt: 5:   6 Vectors with Coordinates
  598.    wt: 5:   2 Signed Coordinates
  599.    wt: 5:   1 Unsigned Coordinates
  600.    wt: 5:   17 tangent function angle sum formulas
  601.    wt: 5:   30 unit circle calculation of six trigonometric functions
  602.    wt: 5:   25 tangent double angle formula Slope connection
  603.    wt: 5:   20 sine and cosine Double Angle Formulas
  604.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  605.    wt: 5:   17D cis formulas for sine cosines and tangent
  606.    wt: 5:   17C sine and cosine double triple angle formulas
  607.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  608.    wt: 5:   11 tangent function undefined when terminal side vertical
  609.    wt: 5:   10 Graphs of sines and cosines many periods
  610.    wt: 5:   3 sines and cosines for reference angle 90 degrees
  611.    wt: 5:   2 Quadrant I reference Angles
  612.    wt: 5:   21 Logarithms Powers and Exponentials
  613.    wt: 5:   12 cis formulas for sine cosines and tangent
  614.    wt: 5:   11 sine and cosine double triple angle formulas
  615.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  616.    wt: 5:   7 Second Way to Calculate Products
  617.    wt: 5:   5 An Easy Proof of the Distributive Law
  618.    wt: 5:   3 Addition Properties
  619.    wt: 5:   Appetizer A Complex Number Applet
  620.    wt: 5:   8 Triangles Cascade Problem Solving
  621.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  622.    wt: 5:   3 Trigonometric Ratios sine and cosine
  623.    wt: 5:   Why Trigonometry the whyslopes view
  624.    wt: 5:   2 Similarity By Design
  625.    wt: 5:   Four Simple Exercises
  626.    wt: 5:   12 Links Lessons elsewhere
  627.    wt: 5:   PS H Distributive Law For Complex Numbers
  628.    wt: 5:   PS A Kite Construction Methods
  629.    wt: 5:   17 Right Bisectors of Triangle Sides
  630.    wt: 5:   9 Construction of a right bisector
  631.    wt: 5:   8 Isoceles Triangles
  632.    wt: 5:   5 Side Angle Side
  633.    wt: 5:   2 Correspondence between Triangles
  634.    wt: 5:   Short Course on Euclidean Geometry
  635.    wt: 5:   musings do not puiblish real numbers
  636.    wt: 5:   E Long Division Methods more
  637.    wt: 5:   D Long Division Methods
  638.    wt: 5:   1 The Counting Origins of Numbers
  639.    wt: 5:   15 Real Number Division
  640.    wt: 5:   6 Unsigned Real Numbers
  641.    wt: 5:   7 Cautious or Safe Set Construction
  642.    wt: 5:   3 Counting with Sets etc
  643.    wt: 5:   2 Venn Diagrams
  644.    wt: 5:   1 Three Skills For Algebra
  645.    wt: 5:   6 GCD from Prime
  646.    wt: 5:   4 signed coordinates for regions in space
  647.    wt: 5:   21 Working With Signs
  648.    wt: 5:   D Remainders Modulo 11 Pair Rule
  649.    wt: 5:   6 Multiplication by Natural Numbers
  650.    wt: 5:   5 Long Division Include Zeroes or not
  651.    wt: 5:   4 Division with 2 Digit Divsors
  652.    wt: 5:   2 Division with Single Digit Divisors
  653.    wt: 5:   Quick history of numbers and algebra
  654.    wt: 5:   011 Division of Time Intervals By Numbers
  655.    wt: 5:   6 How long is a million seconds
  656.    wt: 5:   5 Conversion Arithmetic
  657.    wt: 5:   5 Area Under Curve Exercise
  658.    wt: 5:   3 Two Chain Rule Method Exercises
  659.    wt: 5:   1 Chain Rule in Reverse Integration Method
  660.    wt: 5:   10 Three one sided limits with infinite values
  661.    wt: 5:   9 Limits Continuity and Composition
  662.    wt: 5:   G.5 Motions With Bounded Velocities
  663.    wt: 5:   G.4 Lipschitz Continuity implies EquiContinuity
  664.    wt: 5:   F.4 Finite Covering Theorem
  665.    wt: 5:   D2 Limits of Monotone Sequences
  666.    wt: 5:   Appendix C. How to Read
  667.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  668.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  669.    wt: 5:   Chapter 18. Rules for Algebra
  670.    wt: 5:   Chapter 15. Solving Linear Equations
  671.    wt: 5:   Chapter 12. Shorthand Usage Guide
  672.    wt: 5:   Chapter 11. Why Shorthand
  673.    wt: 5:   Chapter 8 Three Skills For Algebra
  674.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  675.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  676.    wt: 5:   Chapter 4 Longer Chains of Reason
  677.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  678.    wt: 5:   Postscript B Mathematics Education References
  679.    wt: 5:   Postscript A Three Remarks
  680.    wt: 5:   Foreword
  681.    wt: 5:   R Why Learn Mathematics Skills
  682.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  683.    wt: 5:   O On Learning Mathematics and Science
  684.    wt: 5:   Which Way To Go
  685.    wt: 5:   Mathematics Teacher Certification Best Practices
  686.    wt: 4:   chapitre 12 00 les iles et division
  687.    wt: 4:   chapitre 05 00 Deception
  688.    wt: 4:   chapitre 04 02 Deuxieme enigme
  689.    wt: 4:   chapitre 04 01 Premiere enigme
  690.    wt: 4:   problemes algebre et arithmetique
  691.    wt: 4:   Trois Notions qui menent a algebre
  692.    wt: 4:   deux definitions pour variable
  693.    wt: 4:   E Wire Resistance Calculation03
  694.    wt: 4:   24 Standards For Skill Develoment Take II
  695.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  696.    wt: 4:   18 Primary School Mathematics
  697.    wt: 4:   17 Math Booklets for children and young teenagers
  698.    wt: 4:   16 Secondary Mathematics Tips
  699.    wt: 4:   14 Multiplication and Times Tables
  700.    wt: 4:   4 Learning Takes Time and Effort
  701.    wt: 4:   3 Preparing for Science Studies
  702.    wt: 4:   23 Inverse Functions
  703.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  704.    wt: 4:   19 Horizontal line rule and method
  705.    wt: 4:   18 Vertical Line Rule and Method
  706.    wt: 4:   15 Sign analysis of functions
  707.    wt: 4:   10 Interval Notation
  708.    wt: 4:   8 Set view of relations and functions
  709.    wt: 4:   1 Geometric Introduction of Function Notation
  710.    wt: 4:   Introduction Reading Guide
  711.    wt: 4:   8 Notes for instructors or tutors
  712.    wt: 4:   7 Links Lessons Elsewhere
  713.    wt: 4:   7 arcsin left inverse of sine Definition
  714.    wt: 4:   11 Component Method
  715.    wt: 4:   27 Logarithmic use of products of sines and cosines
  716.    wt: 4:   26 Formulas for products of sines and cosines
  717.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  718.    wt: 4:   17G Pythagorean Theorem Converse
  719.    wt: 4:   17E Trig Formulas for dot and cross Products
  720.    wt: 4:   17A The complex number valued trig function cis
  721.    wt: 4:   12 Graph of tangent function for one period
  722.    wt: 4:   9 Graphs of sine and cosine over one period
  723.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  724.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  725.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  726.    wt: 4:   16 References and Originality Question
  727.    wt: 4:   15 Pythagorean Theorem Converse
  728.    wt: 4:   2 Complex Numbers made easier we hope
  729.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  730.    wt: 4:   1 Angle Measurement with Degrees
  731.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  732.    wt: 4:   4 Side Side Side
  733.    wt: 4:   19 Signed Multiples of Vectors
  734.    wt: 4:   2 Integers
  735.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  736.    wt: 4:   6 Power Set Notation
  737.    wt: 4:   5 Product Builder Notation
  738.    wt: 4:   4 Subset Builder Notation
  739.    wt: 4:   About Folder Contents
  740.    wt: 4:   9 subtracting signed numbers
  741.    wt: 4:   6 adding signed numbers
  742.    wt: 4:   5 lengths and signs of numbers
  743.    wt: 4:   12 Adding Integers More Examples
  744.    wt: 4:   10 Integer Multiplication Formulas
  745.    wt: 4:   5 Zero Movement and Additive Inverses
  746.    wt: 4:   1 Integers as Coordinates
  747.    wt: 4:   The 12 Times Table Visually
  748.    wt: 4:   2 Indefinite Integrals Exercises
  749.    wt: 4:   Appendix B. How To Learn
  750.    wt: 4:   Chapter 28 Occurrence Tables
  751.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  752.    wt: 4:   Chapter 21. Third Reading Guide
  753.    wt: 4:   Chapter 19. Functions and Sets
  754.    wt: 4:   Chapter 16. Painless Theorem Proving
  755.    wt: 4:   Chapter 12 Four Phases
  756.    wt: 4:   Chapter 11 Elementary Instruction
  757.    wt: 4:   Chapter 10 Transition
  758.    wt: 4:   Chapter 7 Two Treatments of Geometry
  759.    wt: 4:   Chapter 1 Introduction
  760.    wt: 4:   S Adding words to algebra
  761.    wt: 4:   N Mathematics Prepare for College Studies
  762.    wt: 4:   N Improving Marks on Tests and Finals
  763.    wt: 4:   I. Logic and language skills
  764.    wt: 4:   D. Check work a must with a caution
  765.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  766.    wt: 3:   liens
  767.    wt: 3:   2 Conductance Resistance Duality02
  768.    wt: 3:   1 Conductance Resistance Duality01
  769.    wt: 3:   F Wire Resistance Calculation04
  770.    wt: 3:   D Wire Resistance Calculation02
  771.    wt: 3:   C Wire Resistance Calculation01
  772.    wt: 3:   B Wire Resistance Qualitative02
  773.    wt: 3:   3 Like resistors in parallel
  774.    wt: 3:   24 Standards For Skill Develoment
  775.    wt: 3:   22 Student Centered Highschool Mathematics
  776.    wt: 3:   11 Help and Defend Your Child or Teens Education
  777.    wt: 3:   9 Streaming by Student Cooperation
  778.    wt: 3:   8 The Effect of Negative Remarks
  779.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  780.    wt: 3:   2 Reading and Writing Skills
  781.    wt: 3:   26 Function definitions done and coming
  782.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  783.    wt: 3:   12 Function Domain Recognition Exercises
  784.    wt: 3:   9 Set theory term relation possible origins
  785.    wt: 3:   7 Functions with finite domains
  786.    wt: 3:   2 cosine function more properties
  787.    wt: 3:   1 cosine function properties
  788.    wt: 3:   28 Expressing products of sines cosines as sums
  789.    wt: 3:   17F Law of cosines
  790.    wt: 3:   8 period of tangent function
  791.    wt: 3:   7 period of sine and cosine
  792.    wt: 3:   1 Unit Points Reflections Rotations
  793.    wt: 3:   14 Law of cosines
  794.    wt: 3:   9 The complex number valued trig function cis
  795.    wt: 3:   4 Multiplication Properties
  796.    wt: 3:   7 Trignometric Ratios Unit Circle
  797.    wt: 3:   About Folder Contents
  798.    wt: 3:   8 Sets of Numbers
  799.    wt: 3:   1 Finite Sets
  800.    wt: 3:   10 dividing signed numbers
  801.    wt: 3:   8 multiplying signed numbers
  802.    wt: 3:   8 Multiplication by Signed Numbers Integers
  803.    wt: 3:   7 Multiplication by Signs
  804.    wt: 3:   4 Adding Movements wiht opposite directions
  805.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  806.    wt: 3:   The 20 Times Table
  807.    wt: 3:   About folder contents
  808.    wt: 3:   Postscript More on Better Performance
  809.    wt: 3:   Postscript For Better Performance
  810.    wt: 3:   Solutions For Arithmetic Exercises
  811.    wt: 3:   Chapter 9 The Two Ends
  812.    wt: 3:   Chapter 8 Modern Instruction
  813.    wt: 3:   Chapter 5 Four References
  814.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  815.    wt: 3:   M Words to extend arithmetic
  816.    wt: 3:   L Skills with take home value
  817.    wt: 3:   H Jigsaw puzzles and problem solving
  818.    wt: 3:   G. Written work formats for developing and showing skill
  819.    wt: 3:   F. The student teacher tutor feedback loop
  820.    wt: 3:   C. Domino effect of being careful
  821.    wt: 3:   A. Skill has to be seen to believed
  822.    wt: 2:   problemes responses
  823.    wt: 2:   logique deux enigme
  824.    wt: 2:   3 Energy Power Heat08
  825.    wt: 2:   C Energy Power03
  826.    wt: 2:   2 Unlike resistors in parallel01
  827.    wt: 2:   B Electromotive force conventional current01
  828.    wt: 2:   Home Tutoring and Home Schooling
  829.    wt: 2:   15 Counting For Parents
  830.    wt: 2:   10 Ends values for work study instruction
  831.    wt: 2:   7 Student Motivation
  832.    wt: 2:   1 Speaking Skills
  833.    wt: 2:   14 Surjections Injections Bijections
  834.    wt: 2:   Unit Circle Development of Trigonometry
  835.    wt: 2:   20 N th Roots of Complex Numbers
  836.    wt: 2:   19 N th Roots of Unity
  837.    wt: 2:   18 Sixth Roots of Unity
  838.    wt: 2:   17 Cube Roots of unity
  839.    wt: 2:   8 Unit Circle Development of Trigonometry
  840.    wt: 2:   6 Field Properties of Complex Number
  841.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  842.    wt: 2:   B Integer Long Division Multiple Choices
  843.    wt: 2:   9 Multiplying Integers
  844.    wt: 2:   Foreword
  845.    wt: 2:   Foreword
  846.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  847.    wt: 2:   J. More on written work and showing skill
  848.    wt: 2:   E. When and how to correct errors
  849.    wt: 2:   How to Build Skills and Confidence
  850.    wt: 2:   Road Safety Questions
  851.    wt: 2:   The Math Forum and Site Content
  852.    wt: 1:   4 Energy Power Heat09
  853.    wt: 1:   2 Energy Power Heat07
  854.    wt: 1:   1 Energy Power Heat06
  855.    wt: 1:   A Energy Power01
  856.    wt: 1:   E Kirchoffs Second Law
  857.    wt: 1:   D Kirchoff First Law
  858.    wt: 1:   C Electromotive force conventional current02
  859.    wt: 1:   A Circuit Elements
  860.    wt: 1:   H more Routine to non routine problem solving
  861.    wt: 1:   B. Domino effect of errors
  862.    wt: 17:   13 Pythagorean spatial distance formulas
  863.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  864.    wt: 15:   Parallel Lines and Parallel Transversals
  865.    wt: 15:   Parallel Lines and Alternating Corresponding Angles
  866.    wt: 15:   5 Cartesian Addition and Translation
  867.    wt: 15:   3 GE III Equation Addition and Multiplication
  868.    wt: 15:   3 Harder Cases Convert to Compare and Subtract
  869.    wt: 14:   Ramblings Introduction Algebra Essay
  870.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  871.    wt: 14:   10 Pythagorean plane distance formula
  872.    wt: 14:   3 Rectangular Coordinates Review
  873.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  874.    wt: 14:   3 Solving triangular system example
  875.    wt: 14:   3. How to add with decimals A sans conversions
  876.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  877.    wt: 14:   Chapter 3 Algebra Starter Lessons
  878.    wt: 13:   Appendix 1 primary and preschool mathematic
  879.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  880.    wt: 13:   Skills Chapter 3 Algebra
  881.    wt: 13:   8 quadratics backward use of various formulas
  882.    wt: 13:   3 Circle Arclengh Proportional to Central Angle
  883.    wt: 13:   Proportionality of Line Segments From Parallel Transversals
  884.    wt: 13:   6 Polar Multiplication and Rotation
  885.    wt: 13:   1 Cartesian Coordinates sans signs
  886.    wt: 13:   3 Two Examples
  887.    wt: 13:   3 Triangle Area Formula Example
  888.    wt: 13:   2 Another Rectangle Area Formula Example
  889.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
  890.    wt: 13:   Example 1. Area Between x and x squared
  891.    wt: 13:   Chapter 18. Slopes Areas Integration
  892.    wt: 13:   Chapter 17. Area Approximation
  893.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  894.    wt: 13:   Chapter 14 Limits and Continuity with and sans Decimals
  895.    wt: 13:   Chapter 13. Acceleration
  896.    wt: 13:   Chapter 3. Slope Sign Analysis
  897.    wt: 13:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  898.    wt: 13:   Primary and Secondary Skills and Practices with Take Home Value
  899.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  900.    wt: 12:   E LAMP Introduction Modern Mathematics
  901.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  902.    wt: 12:   sign monoticity analysis example 3
  903.    wt: 12:   6 quadratics numerical approach
  904.    wt: 12:   9 Summary Degrees to Radians and back
  905.    wt: 12:   7 Radian Measures in special Triangles
  906.    wt: 12:   4 Circle Sector Area proportional to Central Angle
  907.    wt: 12:   2 Radian Measure Numerical Value of one degree
  908.    wt: 12:   Parallel Lines and Interior Angles
  909.    wt: 12:   3 Straight Lines Slope as Tangent of Inclination Angle
  910.    wt: 12:   13 Navigation Location from Angles to 2 Landmarks
  911.    wt: 12:   12 Spatial Coordinates
  912.    wt: 12:   9 Pythagorean Theorem Chinese Square Proof
  913.    wt: 12:   4 Polar Coordinates to and from
  914.    wt: 12:   2 Cartesian Coordinates with signs
  915.    wt: 12:   3 Lengths and Areas on Maps and Plans
  916.    wt: 12:   3 Inequalities Algebraically
  917.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  918.    wt: 12:   4 Rates Ratios and Proporitionality
  919.    wt: 12:   3 Proportionality Examples
  920.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
  921.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  922.    wt: 12:   2 More and Less Than for Counts and Measures
  923.    wt: 12:   4 GE III Animated Examples
  924.    wt: 12:   4 Solving a triangular system exercise
  925.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  926.    wt: 12:   A Decimals Modular and Remainder Arithmetic
  927.    wt: 12:   Long Division forwards and backwards Example 3
  928.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  929.    wt: 12:   Appendix 1 Decimals Comparison Method Take II
  930.    wt: 12:   Subtraction Another Video Lesson
  931.    wt: 12:   2 Subtraction Easy Case Examples
  932.    wt: 12:   7 Adding decimal fractions using decimal point
  933.    wt: 12:   11 Place Value SI Standard International way
  934.    wt: 12:   33 Chain Rule Real Player video examples
  935.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  936.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  937.    wt: 12:   Chapter 2. Slopes and Ski Trails
  938.    wt: 12:   Fall 1983 Calculus Appetizer
  939.    wt: 12:   Chapter 7 Calculus Previews and Calculus Lightly
  940.    wt: 12:   Chapter 6 More Algebra and Geometry
  941.    wt: 12:   Chapter 4 Logic for Reading Writing and Geometry etc
  942.    wt: 12:   3 Telling Tracking Time Temporal and More Place Sense
  943.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  944.    wt: 11:   Appendix 2 primary school Arithmetic 01
  945.    wt: 11:   I LAMP Introduction Study Habits
  946.    wt: 11:   H LAMP Introduction Instructional Concepts
  947.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  948.    wt: 11:   A Quadratics Summary
  949.    wt: 11:   9 quadratics physical and further context
  950.    wt: 11:   7 quadratic formulla derivation
  951.    wt: 11:   3 quadratics factoring by inspection
  952.    wt: 11:   2 quadratics graphing in general
  953.    wt: 11:   5 Natural Logarithm Calculator Exercises
  954.    wt: 11:   8 Radian Measures of Common Angles
  955.    wt: 11:   1 Degrees and Radians Introduction
  956.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
  957.    wt: 11:   Construction Methods and Criteria for Isometric and Similar Triangles
  958.    wt: 11:   14 Straight Lines Equations General Case
  959.    wt: 11:   34 sines and cosines of 2A 3A 4A 5A
  960.    wt: 11:   33 sines and cosines of 2A 3A 4A 5A
  961.    wt: 11:   11 Triangle Inequality
  962.    wt: 11:   8 Distance Between Points on a Line
  963.    wt: 11:   4 Fraction Operations Axiomatic Development
  964.    wt: 11:   5 Proportionality in Equivalent Fractions
  965.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  966.    wt: 11:   5 Triangle Area Formula Backwards
  967.    wt: 11:   2 Addition and Multiplication Axioms
  968.    wt: 11:   5 Greater More Less Than Signs in General
  969.    wt: 11:   3 More and Less Than with Unlike Signs
  970.    wt: 11:   6 Algebraic Solution Example
  971.    wt: 11:   5 Algebraic Solutions Introduction
  972.    wt: 11:   4 Four Examples Fractional Coefficients
  973.    wt: 11:   3 Four Examples
  974.    wt: 11:   10 One Example
  975.    wt: 11:   9 Three Examples
  976.    wt: 11:   8 One Example
  977.    wt: 11:   7 Two Examples
  978.    wt: 11:   6 Three Examples
  979.    wt: 11:   5 Three Examples
  980.    wt: 11:   4 Two Examples
  981.    wt: 11:   2 Three Examples
  982.    wt: 11:   4 Circle Area Formula Example
  983.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  984.    wt: 11:   8 Numerals Fractionals Quantals Take II
  985.    wt: 11:   13 Remainder Arithmetic Modulo 5 Example
  986.    wt: 11:   10 video Prime Factorization upto 23 squared
  987.    wt: 11:   7 Calculator Usage Notes and Cautions
  988.    wt: 11:   5 Prime Factorization and a Square Rule
  989.    wt: 11:   3 video Primes and Composites from 9 times table
  990.    wt: 11:   Long Division forwards and backwards Example 2
  991.    wt: 11:   Long Division forwards and backwards Example 1
  992.    wt: 11:   A Elementary Basis for Multiplication Methods
  993.    wt: 11:   Video Decimal Multiplication Geometric View Example 2
  994.    wt: 11:   Video Power Notation in Decimal Expansion
  995.    wt: 11:   Appendix 2 Three Decimal Subtraction Methods
  996.    wt: 11:   Subtraction with J Conversions Example
  997.    wt: 11:   7 Subtraction for Decimal Fractions with Exercises
  998.    wt: 11:   8 What skills and work habits to require
  999.    wt: 11:   6. Counting and adding units and mixed units
  1000.    wt: 11:   5. How to add decimals C. Examples
  1001.    wt: 11:   1. Explaining Addition Table
  1002.    wt: 11:   Example 1 volume of a pyramid
  1003.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  1004.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  1005.    wt: 11:   Example 3
  1006.    wt: 11:   Area Between Curves Lesson Take 2
  1007.    wt: 11:   Area Between Curves Lesson Take 1
  1008.    wt: 11:   A Chain Rule Real Player video examples
  1009.    wt: 11:   38 Formulas and derivatives for powers and roots
  1010.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  1011.    wt: 11:   Postscript Pythagorean Theorem yet another proof
  1012.    wt: 11:   Chapter 23 Links To Trigonometry
  1013.    wt: 11:   Chapter 21 Arrow Addition
  1014.    wt: 11:   Chapter 16. Velocity Approximation
  1015.    wt: 11:   Chapter 15. Slope Approximation
  1016.    wt: 11:   Chapter 12. Units and Slopes
  1017.    wt: 11:   Chapter 10 Slopes and Units
  1018.    wt: 11:   Chapter 9 About First Courses in Calculus
  1019.    wt: 11:   Chapter 7 Slopes and Velocity
  1020.    wt: 11:   Chapter 4. More Slope Sign Analysis
  1021.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1022.    wt: 11:   Appendix A Calculus with Proofs for Keen or Gifted
  1023.    wt: 11:   Chapter 8 Skipped Topics and Why
  1024.    wt: 11:   5 Interpreting and Drawing Maps and Plans.
  1025.    wt: 11:   2 Identifying Size and Position Place and Spatial Sense
  1026.    wt: 10:   K LAMP Musings Science Education
  1027.    wt: 10:   J LAMP Introduction Extrinsic Origins
  1028.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1029.    wt: 10:   F LAMP Introduction Prerequisites
  1030.    wt: 10:   A Introduction Objectives
  1031.    wt: 10:   Skills Chapter 5 Calculus
  1032.    wt: 10:   Ramblings Extrinsic numbers theory
  1033.    wt: 10:   Skills Chapter 1 Arithmetic
  1034.    wt: 10:   Skills Chapter 0 Introduction
  1035.    wt: 10:   7 logic review and decimals an odd combination
  1036.    wt: 10:   5 logarithms and exponentials etc
  1037.    wt: 10:   3 Euclidean Geometry Leanly
  1038.    wt: 10:   Applied Maths Program14092009 POMME variant
  1039.    wt: 10:   teaching tutoring algebraic reason
  1040.    wt: 10:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1041.    wt: 10:   sign monoticity analysis example 4
  1042.    wt: 10:   sign monoticity analysis example 2
  1043.    wt: 10:   sign monoticity analysis example 1
  1044.    wt: 10:   5 quadratics completing the square
  1045.    wt: 10:   4 quadratics difference of two squares
  1046.    wt: 10:   1 quadratics graphing exercises
  1047.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1048.    wt: 10:   6 Radian Measure to Degrees
  1049.    wt: 10:   5 Degrees to Radian Measure
  1050.    wt: 10:   14 Why Scalar Multiplication Distributes Physical Argument
  1051.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1052.    wt: 10:   Triangle Angles Sum To 180 Degrees
  1053.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  1054.    wt: 10:   12 Straight Lines Graphing mx plus b
  1055.    wt: 10:   6 Tangent Function Inclination Angle Take 2
  1056.    wt: 10:   35 sines and cosines of 2A 3A 4A 5A
  1057.    wt: 10:   7 Complex Numbers Appetizer
  1058.    wt: 10:   4 Angles on Maps Plans drawn to scale
  1059.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1060.    wt: 10:   15 Head to Tails in place Addition Associative
  1061.    wt: 10:   5 Areas of Rectangles Revisited
  1062.    wt: 10:   2 Fraction Operations Physical Development
  1063.    wt: 10:   2 Algebraic View
  1064.    wt: 10:   1 What is Proportionality
  1065.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1066.    wt: 10:   5 Equality in Algebra
  1067.    wt: 10:   4 Subtraction and Division Axioms
  1068.    wt: 10:   4 Comparison of Negative Numbers
  1069.    wt: 10:   1 Real Numbers Comparison
  1070.    wt: 10:   3 Geometric Formulas and Function Notation
  1071.    wt: 10:   2 GE II Comparison
  1072.    wt: 10:   1 GE Substitution four examples
  1073.    wt: 10:   2 Essentially one exercises three with solution
  1074.    wt: 10:   1 Essentially One Unknown
  1075.    wt: 10:   1 Proper Equal Sign Usage
  1076.    wt: 10:   Skill Development Notes
  1077.    wt: 10:   13 Naming Identifying Formulas with Words
  1078.    wt: 10:   8 Compound Interest Formula Evaluation
  1079.    wt: 10:   1 Squares and Square Roots Introduction
  1080.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1081.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1082.    wt: 10:   13 Fraction Comparison Algebraic View
  1083.    wt: 10:   7 Numerals Fractionals Quantals
  1084.    wt: 10:   6 Multiplication Algebraically Take II
  1085.    wt: 10:   3 Unit fraction of a fraction
  1086.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation
  1087.    wt: 10:   15 Remainder Arithmetic Modulo 9 Example
  1088.    wt: 10:   14 Remainder Arithmetic Modulo 9 Example
  1089.    wt: 10:   12 Remainder Arithmetic Modulo 10 Example
  1090.    wt: 10:   9 Remainder Arithmetic Divisibility by 5
  1091.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
  1092.    wt: 10:   7 Remainder Arithmetic Modulo 5 Examples I
  1093.    wt: 10:   18 video Count Factors given Prime Factorization
  1094.    wt: 10:   15 video Factors of 20 using Prime Factorization
  1095.    wt: 10:   13 video Factors of 24 using prime
  1096.    wt: 10:   9 video Prime Factorization upto 19 squared
  1097.    wt: 10:   4 video Prime Factorization Introduction
  1098.    wt: 10:   1 video how Products are bigger than factor
  1099.    wt: 10:   5 Decimal Fraction Multiplication
  1100.    wt: 10:   8 Subtraction with Units of Measure
  1101.    wt: 10:   6 Subtraction with Conversion Example with Exercises
  1102.    wt: 10:   5 A Tip for Efficent Subtraction
  1103.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1104.    wt: 10:   Appendix 1 Counting Revisited 15 minute video
  1105.    wt: 10:   4. How to add with decimals B with conversions
  1106.    wt: 10:   2 Decimal Counting Practices
  1107.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1108.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1109.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1110.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
  1111.    wt: 10:   4 Groups of 3 Place Value in Decimal Fractions
  1112.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
  1113.    wt: 10:   Example 2 volume of a cone
  1114.    wt: 10:   Example 4 with x function of y
  1115.    wt: 10:   Example 2
  1116.    wt: 10:   Example 1
  1117.    wt: 10:   36 Cube root derivative animated
  1118.    wt: 10:   28 Chain Rule Preparation for a Proof
  1119.    wt: 10:   25 Chain Rule Animated Examples Continued
  1120.    wt: 10:   24 Chain Rule Animated Examples
  1121.    wt: 10:   7 Animated Differentiation Examples
  1122.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1123.    wt: 10:   Chapter 20 Vectors and Complex Numbers
  1124.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1125.    wt: 10:   Chapter 8. Slope Interpretation
  1126.    wt: 10:   Chapter 1.Introduction
  1127.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1128.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1129.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1130.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1131.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1132.    wt: 10:   Chapter 2 Why Sets
  1133.    wt: 10:   Chapter 1 Arithmetic
  1134.    wt: 10:   6 Measuring via counting or arithmetic the role of fractions
  1135.    wt: 10:   4 Money Matters Saving Earning Buying Selling and Budgets
  1136.    wt: 10:   More Algebra and Slope based Calculus Preview
  1137.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1138.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1139.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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