Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

85 matches:

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

Web Page Search

1102 matches:

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

Extended Search

1140 matches:

  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   Skills Chapter 2 Geometry
  3.    wt: 9:   9 combinatorics probability sets
  4.    wt: 9:   8 analytic geometry etc
  5.    wt: 9:   Mathematics Education Professors
  6.    wt: 9:   what should be learnt and When
  7.    wt: 9:   Education Reform Inconsistencies
  8.    wt: 9:   five decades make a difference
  9.    wt: 9:   Maps Plans Drawings
  10.    wt: 9:   Secondary Three Mathematics
  11.    wt: 9:   talk the algebra talk
  12.    wt: 9:   geometric implications for algebra
  13.    wt: 9:   three aims for mathematics students
  14.    wt: 9:   Education in mathematics science and technology
  15.    wt: 9:   need for a mixed mathematics curriculum
  16.    wt: 9:   Prequel In For A Penny In For A Pound
  17.    wt: 9:   education an empirical art
  18.    wt: 9:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  19.    wt: 9:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  20.    wt: 9:   11 Function Domain Range Source and Targets
  21.    wt: 9:   3 Formula or function graphing exercise
  22.    wt: 9:   8 Notes for instructors or tutors
  23.    wt: 9:   3 Polynomials Multiplication Addition
  24.    wt: 9:   14 secant function Definition Graph and Inverse
  25.    wt: 9:   10 arctan left inverse of tangent Definition
  26.    wt: 9:   4 possible motivation for term arccos
  27.    wt: 9:   11 Component Method
  28.    wt: 9:   4 Resultant of a Sum of Movements
  29.    wt: 9:   2 Signed Coordinates
  30.    wt: 9:   1 Unsigned Coordinates
  31.    wt: 9:   4 Tangent Function Properties
  32.    wt: 9:   1 Straight Lines Slope Concept
  33.    wt: 9:   32 seven rows of pascals triangle
  34.    wt: 9:   24 tangent Angle Difference Formula
  35.    wt: 9:   22 sine of 22.5 degrees via half angle formulas
  36.    wt: 9:   21 sine and cosine Half Angle Formulas
  37.    wt: 9:   20 sine and cosine Double Angle Formulas
  38.    wt: 9:   16 Right Triangle Complementary Angle Relations
  39.    wt: 9:   15 sine cosine Complementary Angle Relations
  40.    wt: 9:   13 Graph of tangent function many periods
  41.    wt: 9:   6 sines and cosines for reference angle 30 degrees
  42.    wt: 9:   12 cis formulas for sine cosines and tangent
  43.    wt: 9:   1 Rectangular Polar Coordinates Review
  44.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  45.    wt: 9:   12 Triangles Similarity More Problems
  46.    wt: 9:   8 Similarity of Triangles and Polygons
  47.    wt: 9:   4 Similarity Definition with Coordinate
  48.    wt: 9:   8 Mid Point Formula
  49.    wt: 9:   7 Exercises to test skill and concept mastery
  50.    wt: 9:   What is and is not here
  51.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  52.    wt: 9:   PS A Kite Construction Methods
  53.    wt: 9:   19 Right Triangle Similarity
  54.    wt: 9:   15 Triangle Angle Sum is 180 degrees
  55.    wt: 9:   12 Side Angle Side Failure
  56.    wt: 9:   10 Dropping a perpendicular to line
  57.    wt: 9:   9 Construction of a right bisector
  58.    wt: 9:   7 Angle Side Angle
  59.    wt: 9:   2 Correspondence between Triangles
  60.    wt: 9:   1 Initial Concepts and Terms
  61.    wt: 9:   Short Course on Euclidean Geometry
  62.    wt: 9:   1 Length Measurement
  63.    wt: 9:   A Modular and Remainder Arithmetic
  64.    wt: 9:   26 More Less Greater Than Comparison
  65.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  66.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  67.    wt: 9:   A Decimal Addition Columm Methods
  68.    wt: 9:   7 Decimals Multiplication Methods Examples
  69.    wt: 9:   6 Column Methods for Decimal Multiplication
  70.    wt: 9:   3 Multiplicative Counting Skills Principles
  71.    wt: 9:   2 Linear Equation Literal Solution
  72.    wt: 9:   1 Changing Calculations
  73.    wt: 9:   1 Equivalent Computation Rules
  74.    wt: 9:   5 Independent versus Dependent Variables
  75.    wt: 9:   2 Computation Rules Evaluation
  76.    wt: 9:   Using Letters for Physical Quantities
  77.    wt: 9:   9 Volume of Cone
  78.    wt: 9:   4 Greater More Less Than Signs in General
  79.    wt: 9:   3 Comparison of Negative Numbers
  80.    wt: 9:   5 Common Divisors 60 45 via Prime
  81.    wt: 9:   4 LCM of 8 and 10 via Prime
  82.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  83.    wt: 9:   4 Counting with Trees Product Rule Take I
  84.    wt: 9:   1 Counting and Counting Methods I
  85.    wt: 9:   1 Addition and Subtraction with Units
  86.    wt: 9:   B Fractions and Two Term Ratios
  87.    wt: 9:   20 Dividing Fractions the Why
  88.    wt: 9:   18 Efficient Ways to Multiply
  89.    wt: 9:   27 Divisibility by 2 3 6 5 9 10 Example
  90.    wt: 9:   26 Divisibility by 2 3 5 Example
  91.    wt: 9:   24 Divisibility Tests for 2 3 5 9 10
  92.    wt: 9:   5 Remainder Arithmetic Modulo 5
  93.    wt: 9:   1 Remainder Arithmetic Modulo 10
  94.    wt: 9:   12 LCD GCD and LCM using Primes
  95.    wt: 9:   Division with Counts and Length
  96.    wt: 9:   12 Why Long Division Works Take III
  97.    wt: 9:   10 Division by Five Long and Short Ways
  98.    wt: 9:   9 Why Long Division Works Take II
  99.    wt: 9:   4 Two and Three Digit Multipliers
  100.    wt: 9:   Formula Evaluation how to show work
  101.    wt: 9:   Practical Methods Ends and Values for Arithmetic
  102.    wt: 9:   34 Derivative of exponential function
  103.    wt: 9:   31 Derivatives of inverse functions
  104.    wt: 9:   30Chain Rule A Proof
  105.    wt: 9:   29 Chain Rule Optional Reading
  106.    wt: 9:   23 Chain Rule in general
  107.    wt: 9:   19 Chain Rule for linear functions
  108.    wt: 9:   17 Derivatives of quotients of sine and cosine
  109.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  110.    wt: 9:   15 sine and cosine derivatives 3rd step
  111.    wt: 9:   13 sine and cosine derivatives 1st step
  112.    wt: 9:   2 Motivation for Limit Definition Take 1
  113.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  114.    wt: 9:   7 Evaluation by immediate or delayed substitution
  115.    wt: 9:   Postscript One Sided and Intermediate Value Theorems
  116.    wt: 9:   G.2 Lipshitz Conditions Integration Calculus Reform
  117.    wt: 9:   G.1 First Fundamental Theorem of Calculus
  118.    wt: 9:   G.3 Constant Difference Theorem Proof
  119.    wt: 9:   G.2 Differentiable Functions Mean Value Theorem
  120.    wt: 9:   Chapter 22 Complex Numbers
  121.    wt: 9:   Chapter 5. Slope Sign Tests
  122.    wt: 9:   Chapter 11. Why Shorthand
  123.    wt: 9:   Chapter 2 For and Against Mathematics
  124.    wt: 9:   Postscript C Consistency as a Tool for Reason
  125.    wt: 9:   Postscript B More on Story Telling and Reason
  126.    wt: 9:   Chapter 23 Truth Tables
  127.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  128.    wt: 9:   Chapter 8 Change of Language
  129.    wt: 9:   1 From Number Recognition and Counting to Arithmetic B
  130.    wt: 9:   Ends Values Methods For Skill Development Framework Prequel
  131.    wt: 9:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  132.    wt: 8:   6 polynomials etc
  133.    wt: 8:   4 algebra
  134.    wt: 8:   1 arithmetic with unsigned numbers
  135.    wt: 8:   Teach the teachers plus goals
  136.    wt: 8:   permissions for teachers
  137.    wt: 8:   learning takes time
  138.    wt: 8:   mathematics in context
  139.    wt: 8:   Secondary Two Mathematics
  140.    wt: 8:   Secondary One Mathematics
  141.    wt: 8:   the trouble with algebra
  142.    wt: 8:   05 13 OldSiteEntrancePage
  143.    wt: 8:   04 25 when to stop or suspend mathemat
  144.    wt: 8:   02 21 words for teachers
  145.    wt: 8:   02 20 mathematics education references
  146.    wt: 8:   Operational Viewpoint to Value
  147.    wt: 8:   mathematics instruction in general
  148.    wt: 8:   Different Kinds of Reasoning in maths
  149.    wt: 8:   three kinds of reason in mathematics
  150.    wt: 8:   Four ways to improve education reform
  151.    wt: 8:   Leaner mathematics curriculum
  152.    wt: 8:   fairness and inductive principles for instruction
  153.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  154.    wt: 8:   25 Absolute Value greatest integer and saw tooth functions
  155.    wt: 8:   5 Function notation for geometric transformations
  156.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  157.    wt: 8:   4 Polynomials Long division linear divisor
  158.    wt: 8:   8 arcsin left inverse of sine Graph
  159.    wt: 8:   7 arcsin left inverse of sine Definition
  160.    wt: 8:   6 Graph of arccos function
  161.    wt: 8:   3 Left Inverse of cosine arccos definition
  162.    wt: 8:   15 Dot and Cross Product
  163.    wt: 8:   26 Formulas for products of sines and cosines
  164.    wt: 8:   25 tangent double angle formula Slope connection
  165.    wt: 8:   17A The complex number valued trig function cis
  166.    wt: 8:   11 tangent function undefined when terminal side vertical
  167.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  168.    wt: 8:   15 Pythagorean Theorem Converse
  169.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  170.    wt: 8:   8 Triangles Cascade Problem Solving
  171.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  172.    wt: 8:   3 Trigonometric Ratios sine and cosine
  173.    wt: 8:   Why Trigonometry the whyslopes view
  174.    wt: 8:   6 Intersection of lines by solving linear systems
  175.    wt: 8:   8 Isoceles Triangles
  176.    wt: 8:   5 Side Angle Side
  177.    wt: 8:   23 Distributive Law Two Derivations
  178.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  179.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  180.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  181.    wt: 8:   11 Signed Number Addition and Addition Properties
  182.    wt: 8:   3 Location of Point in Decimal Multiplication
  183.    wt: 8:   C Three Decimal Subtraction Methods
  184.    wt: 8:   8 Column Multiplication Methods in General
  185.    wt: 8:   5 Distributive Law for Whole Numbers
  186.    wt: 8:   2 Combing Counts Addition Skills and Principles
  187.    wt: 8:   12 Real Number Additive Inverses or Negatives
  188.    wt: 8:   9 Coordinates for Regions in Space
  189.    wt: 8:   7 Real Numbers as Line Cordinates
  190.    wt: 8:   4 A Brief Story of numbers and algebra
  191.    wt: 8:   arithmetic videos Real Player Format
  192.    wt: 8:   2 More and Less Than with Unlike Signs
  193.    wt: 8:   12 GCD 2700 288 via Prime
  194.    wt: 8:   4 signed coordinates for regions in space
  195.    wt: 8:   2 signed and unsigned numbers as coordinates
  196.    wt: 8:   7 Converting or Changing Units
  197.    wt: 8:   6 Simplification of Fractions with Units
  198.    wt: 8:   3 Multiplying Units and Numbers
  199.    wt: 8:   2 Equality and Units
  200.    wt: 8:   22 Complex Compound Fractions
  201.    wt: 8:   21 Working With Signs
  202.    wt: 8:   19 Dividing Fractions How TO
  203.    wt: 8:   12 Fraction Comparison
  204.    wt: 8:   9 Improper Fractions and Mixed Numbers
  205.    wt: 8:   5 Equivalent Fractions
  206.    wt: 8:   4 Fraction Multiplication
  207.    wt: 8:   2 Unit Fraction Multiplication
  208.    wt: 8:   8 Correcting the Mistake
  209.    wt: 8:   7 Long Divison Mistake Catching
  210.    wt: 8:   1 Divsion Physical Examples
  211.    wt: 8:   B Powers of Ten
  212.    wt: 8:   2 One Digit Multipliers
  213.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  214.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  215.    wt: 8:   Expression Evaluation how to show work
  216.    wt: 8:   016 Numbering Occidental Calendar Days
  217.    wt: 8:   015 School and work day counting tables
  218.    wt: 8:   9 Comparison and Subtraction of Time Intervals
  219.    wt: 8:   8 Addition of Time Intervals via subtotaling
  220.    wt: 8:   Volume of Solid by Cross Sections Lesson
  221.    wt: 8:   Summary
  222.    wt: 8:   A Related Material in Volume 3
  223.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  224.    wt: 8:   21 Chain Rule for powers
  225.    wt: 8:   20 Chain Rule for Pulley Systems
  226.    wt: 8:   18 Chain Rule Introduction
  227.    wt: 8:   14 sine and cosine derivatives 2nd step
  228.    wt: 8:   12 Quotient rule examples
  229.    wt: 8:   10 Power rule for negative integers
  230.    wt: 8:   8 Differentiation of polynomials
  231.    wt: 8:   5 Jumps and absence of unlimited error control
  232.    wt: 8:   F.5a Equicontinuity Theorems
  233.    wt: 8:   Appendix E. How To Study Mathematics and Why
  234.    wt: 8:   Appendix A. Reading Guide For Next Appendices
  235.    wt: 8:   Chapter 31 Direct and Indirect Reason
  236.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  237.    wt: 8:   Chapter 25. Mathematical Induction Examples
  238.    wt: 8:   Chapter 23. Notation For Sums
  239.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  240.    wt: 8:   Chapter 10 Describing and Changing Calculations
  241.    wt: 8:   Chapter 9 Talking about Numbers or Quantities
  242.    wt: 8:   Chapter 3 Chains of Reason
  243.    wt: 8:   Chapter 24 Direct and Indirect Reason
  244.    wt: 8:   Chapter 19 What is in chapters 20 to 24
  245.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  246.    wt: 8:   Chapter 9 What is in Chapters 10 to 18
  247.    wt: 8:   Chapter 7 Longer Chains of Reason
  248.    wt: 8:   Chapter 6 Chains of Reason
  249.    wt: 8:   G. Written work formats for developing and showing skill
  250.    wt: 8:   Helping the Blind in Logic and Mathematics
  251.    wt: 8:   Mathematics Education References
  252.    wt: 8:   Mathematics Education References
  253.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  254.    wt: 7:   10 statistics
  255.    wt: 7:   2 arithmetic with signed numbers
  256.    wt: 7:   What is POMME
  257.    wt: 7:   three goals to set for students
  258.    wt: 7:   activities for students
  259.    wt: 7:   About site lesson plans
  260.    wt: 7:   teacher certification
  261.    wt: 7:   modern education
  262.    wt: 7:   how letters appear
  263.    wt: 7:   teaching tips
  264.    wt: 7:   mathematics curriculum shifts
  265.    wt: 7:   Lessening Algebra Difficulties
  266.    wt: 7:   04 29 New Mathematics Curriculum
  267.    wt: 7:   Theory of Knowledge
  268.    wt: 7:   How to be a better instructor
  269.    wt: 7:   Motivation and Context Problem
  270.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  271.    wt: 7:   chapitre 06 00 Chaines de la raison
  272.    wt: 7:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  273.    wt: 7:   27 Graduated Correction and Penalties for Young Offenders
  274.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take IV
  275.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  276.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take II
  277.    wt: 7:   17 Math Booklets for children and young teenagers
  278.    wt: 7:   13 Addition and Addition Tables
  279.    wt: 7:   Ages 12 to 14 Skills with take home value
  280.    wt: 7:   Ages 3 plus to 4 plus
  281.    wt: 7:   20 Interchanging coordinates a reflection
  282.    wt: 7:   16 Increasing or decreasing on intervals
  283.    wt: 7:   6 Set Existence Formation and Notation
  284.    wt: 7:   4 Function notation in and beyond mathematics
  285.    wt: 7:   1 Polynomials Distributive Law
  286.    wt: 7:   2 cosine function more properties
  287.    wt: 7:   1 cosine function properties
  288.    wt: 7:   30 unit circle calculation of six trigonometric functions
  289.    wt: 7:   17F Law of cosines
  290.    wt: 7:   12 Graph of tangent function for one period
  291.    wt: 7:   10 Graphs of sines and cosines many periods
  292.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  293.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  294.    wt: 7:   2 Quadrant I reference Angles
  295.    wt: 7:   21 Logarithms Powers and Exponentials
  296.    wt: 7:   16 References and Originality Question
  297.    wt: 7:   7 Second Way to Calculate Products
  298.    wt: 7:   5 An Easy Proof of the Distributive Law
  299.    wt: 7:   3 Addition Properties
  300.    wt: 7:   Appetizer A Complex Number Applet
  301.    wt: 7:   1 Angle Measurement with Degrees
  302.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  303.    wt: 7:   2 Similarity By Design
  304.    wt: 7:   Four Simple Exercises
  305.    wt: 7:   12 Links Lessons elsewhere
  306.    wt: 7:   4 Side Side Side
  307.    wt: 7:   21 Addition of Multiples of a Single Vector
  308.    wt: 7:   12 Real Numbers Line Signed Coordinates
  309.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  310.    wt: 7:   8 Division and Mulplication of Compound Fractions
  311.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  312.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  313.    wt: 7:   4 Location of Point in Decimal Addition
  314.    wt: 7:   1 Fractions with Finite Decimal Expansions
  315.    wt: 7:   E Long Division Methods more
  316.    wt: 7:   1 The Counting Origins of Numbers
  317.    wt: 7:   13 Real Number Subtraction
  318.    wt: 7:   11 Real Number Addition
  319.    wt: 7:   5 Rational Numbers More
  320.    wt: 7:   1 Whole and Natural Numbers
  321.    wt: 7:   4 Changing Letters
  322.    wt: 7:   More Exercises
  323.    wt: 7:   9 Sets in Probability and Statistics
  324.    wt: 7:   7 Cautious or Safe Set Construction
  325.    wt: 7:   5 Talking about Numbers and Quantities
  326.    wt: 7:   3 Adding Words To Arithmetic
  327.    wt: 7:   6 GCD from Prime
  328.    wt: 7:   7 negative and additive inverse
  329.    wt: 7:   4 Fractions with Units
  330.    wt: 7:   D Three Term Ratios
  331.    wt: 7:   6 Multiplication of Mixed Numbers
  332.    wt: 7:   D Remainders Modulo 11 Pair Rule
  333.    wt: 7:   13 Subtraction with Additive Inverse
  334.    wt: 7:   3 Adding Movements with same direction
  335.    wt: 7:   5 Long Division Include Zeroes or not
  336.    wt: 7:   4 Division with 2 Digit Divsors
  337.    wt: 7:   2 Division with Single Digit Divisors
  338.    wt: 7:   Quick history of numbers and algebra
  339.    wt: 7:   Exact Arithmetic Wholes and Fractions
  340.    wt: 7:   014 Counting Days with Calendars
  341.    wt: 7:   013 Travel Time Tables
  342.    wt: 7:   010 Repeated Addition of Time Intervals
  343.    wt: 7:   2 Time and Date Matters in School
  344.    wt: 7:   A Related lessons in Volume 3
  345.    wt: 7:   26 Chain Rule Recognising outer inner functions
  346.    wt: 7:   11 Quotient rule
  347.    wt: 7:   9 Reciprocal rule
  348.    wt: 7:   5 Product Rule
  349.    wt: 7:   11 Limits at infinity Three Examples
  350.    wt: 7:   8 Four Animated Examples
  351.    wt: 7:   3 Decimal insights for limits continuity convergence
  352.    wt: 7:   2 Algebraic codification
  353.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  354.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  355.    wt: 7:   F.5b Extreme Value Theorem
  356.    wt: 7:   F.2 Closed Range Theorem
  357.    wt: 7:   F.1 What Functions are Continuous
  358.    wt: 7:   E2 Algebraic Properties of Limits
  359.    wt: 7:   E1 Error Control Inequalities
  360.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  361.    wt: 7:   C Triangle Inequalities
  362.    wt: 7:   B1 Pigeon Hole Principles from combinatorics
  363.    wt: 7:   A1. Introduction
  364.    wt: 7:   Appendix D. What to do in School and Why
  365.    wt: 7:   Chapter 30 Truth Tables
  366.    wt: 7:   Chapter 27 Shorthand Symbols as Pronouns
  367.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  368.    wt: 7:   Chapter 20. Degrees and Radians
  369.    wt: 7:   Chapter 18. Rules for Algebra
  370.    wt: 7:   Chapter 13. Second Reading Guide
  371.    wt: 7:   Chapter 12. Shorthand Usage Guide
  372.    wt: 7:   Chapter 8 Three Skills For Algebra
  373.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  374.    wt: 7:   Chapter 6 Change of Language
  375.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  376.    wt: 7:   Chapter 3 Algebra Difficulties
  377.    wt: 7:   Postscript A Story Telling
  378.    wt: 7:   Chapter 21 Occurrence Tables
  379.    wt: 7:   Chapter 18 Sense and Knowledge
  380.    wt: 7:   Chapter 1 Introduction
  381.    wt: 7:   Foreword
  382.    wt: 7:   S Adding words to algebra
  383.    wt: 7:   R Why Learn Mathematics Skills
  384.    wt: 7:   Q How Logic and Proofs extend Show Work Practices
  385.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  386.    wt: 7:   O On Learning Mathematics and Science
  387.    wt: 7:   N Mathematics Prepare for College Studies
  388.    wt: 7:   N Improving Marks on Tests and Finals
  389.    wt: 7:   D. Check work a must with a caution
  390.    wt: 7:   Implementation Notes
  391.    wt: 6:   why bother
  392.    wt: 6:   which way to go
  393.    wt: 6:   links Education Resources online
  394.    wt: 6:   site origins
  395.    wt: 6:   site eurekas
  396.    wt: 6:   key notes and themes
  397.    wt: 6:   Postscript 2007 01 10
  398.    wt: 6:   What to Tell Students
  399.    wt: 6:   cultivating intelligence
  400.    wt: 6:   chapitre 07 01 principle D induction mathematique
  401.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  402.    wt: 6:   chapitre 04 04 Parlons de la logique
  403.    wt: 6:   chapitre 02 00 La Communication des idees
  404.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  405.    wt: 6:   23 Modularized Skill Development Modularized Rigor
  406.    wt: 6:   12 Goals and Objectives For Mathematics
  407.    wt: 6:   11 Help and Defend Your Child or Teens Education
  408.    wt: 6:   5 Patience Please for Yourself and Your Charges
  409.    wt: 6:   Ages 12 to 14 Arithmetic
  410.    wt: 6:   Ages 10 to 12 Arithmetic
  411.    wt: 6:   22 Square Root function graphically
  412.    wt: 6:   21 Graphs of functions given by Horizontal Line Method
  413.    wt: 6:   19 Horizontal line rule and method
  414.    wt: 6:   13 From one to one to many to one
  415.    wt: 6:   9 Set theory term relation possible origins
  416.    wt: 6:   2 Algebraic use of function notation
  417.    wt: 6:   2 Column Multiplication Method
  418.    wt: 6:   Rewriting algebraic substitution as function substitutions
  419.    wt: 6:   27 Logarithmic use of products of sines and cosines
  420.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  421.    wt: 6:   9 Graphs of sine and cosine over one period
  422.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  423.    wt: 6:   17 Cube Roots of unity
  424.    wt: 6:   2 Complex Numbers made easier we hope
  425.    wt: 6:   7 Trignometric Ratios Unit Circle
  426.    wt: 6:   A Signed Number Arithmetic Review
  427.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  428.    wt: 6:   22 Multiplication of Signed Numbers
  429.    wt: 6:   9 Division with Digits after Decimal Point
  430.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  431.    wt: 6:   2 Counting Digits in Decimal Multiplication
  432.    wt: 6:   D Long Division Methods
  433.    wt: 6:   16 Real Numbers Comparison
  434.    wt: 6:   14 Real Number Multiplication
  435.    wt: 6:   10 Real Number Lengths and Signs
  436.    wt: 6:   4 Rational Numbers
  437.    wt: 6:   3 Fractions
  438.    wt: 6:   Simple Exercises
  439.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  440.    wt: 6:   3 Counting with Sets etc
  441.    wt: 6:   2 Venn Diagrams
  442.    wt: 6:   6 Three Notions of What is a Variable
  443.    wt: 6:   2 What is a Variable
  444.    wt: 6:   1 Three Skills For Algebra
  445.    wt: 6:   12 Adding Integers More Examples
  446.    wt: 6:   10 Integer Multiplication Formulas
  447.    wt: 6:   6 Multiplication by Natural Numbers
  448.    wt: 6:   1 Integers as Coordinates
  449.    wt: 6:   012 Division of Time Intervals by Time Intervals
  450.    wt: 6:   011 Division of Time Intervals By Numbers
  451.    wt: 6:   7 Addition of Time Intervals
  452.    wt: 6:   4 Mixing and Changing Units of Time
  453.    wt: 6:   3 Units and Lengths of Time
  454.    wt: 6:   1 Intro of Kids To Time Date Skills
  455.    wt: 6:   4 Definite Integrals Evaluation Exercises
  456.    wt: 6:   4 Second derivative test exercise example
  457.    wt: 6:   3 Second derivative test
  458.    wt: 6:   2 Second derivative test prequel
  459.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  460.    wt: 6:   6 Power rule from product rule
  461.    wt: 6:   4 Sum Rule
  462.    wt: 6:   10 Three one sided limits with infinite values
  463.    wt: 6:   6 Continuity at a point
  464.    wt: 6:   4 Numerical properties
  465.    wt: 6:   1 Numerical introduction
  466.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  467.    wt: 6:   F.4 Finite Covering Theorem
  468.    wt: 6:   Postscript More on Better Performance
  469.    wt: 6:   Postscript For Better Performance
  470.    wt: 6:   Appendix C. How to Read
  471.    wt: 6:   Chapter 24. Personal Investment and Pension EGS
  472.    wt: 6:   Chapter 16. Painless Theorem Proving
  473.    wt: 6:   Chapter 15. Solving Linear Equations
  474.    wt: 6:   Postscript What is a Variable
  475.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  476.    wt: 6:   Chapter 4 Longer Chains of Reason
  477.    wt: 6:   Chapter 1 Introduction to Chapters 2 to 6
  478.    wt: 6:   Annotated Links to Material Elsehwere
  479.    wt: 6:   Chapter 11 Elementary Instruction
  480.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  481.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  482.    wt: 6:   Chapter 15 Objective Processes
  483.    wt: 6:   Chapter 10 Responsibility
  484.    wt: 6:   Chapter 5 Deception
  485.    wt: 6:   Chapter 2 Skill Development
  486.    wt: 6:   Three Remarks
  487.    wt: 6:   M Words to extend arithmetic
  488.    wt: 6:   J. More on written work and showing skill
  489.    wt: 6:   I. Logic and language skills
  490.    wt: 6:   F. The student teacher tutor feedback loop
  491.    wt: 6:   E. When and how to correct errors
  492.    wt: 6:   Which Way To Go
  493.    wt: 5:   website reviews
  494.    wt: 5:   three difficulties
  495.    wt: 5:   chapitre 04 09 Regles accidentelles
  496.    wt: 5:   chapitre 04 08 Limitations et benefices
  497.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  498.    wt: 5:   chapitre 04 06 engagements
  499.    wt: 5:   chapitre 04 05 Implication versus suggestion
  500.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  501.    wt: 5:   chapitre 04 00 Les regles d implication
  502.    wt: 5:   chapitre 01 00 Introduction
  503.    wt: 5:   E Wire Resistance Calculation03
  504.    wt: 5:   A Wire Resistance Qualitative01
  505.    wt: 5:   24 Standards For Skill Develoment Take II
  506.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  507.    wt: 5:   16 Secondary Mathematics Tips
  508.    wt: 5:   4 Learning Takes Time and Effort
  509.    wt: 5:   3 Preparing for Science Studies
  510.    wt: 5:   Ages 12 to 14 Geometry
  511.    wt: 5:   Ages 10 to 12 Geometry
  512.    wt: 5:   Ages 9 to 10
  513.    wt: 5:   Ages 8 to 9
  514.    wt: 5:   Ages 7 to 8
  515.    wt: 5:   Ages 6 to 7
  516.    wt: 5:   Ages 4 plus to 5 plus
  517.    wt: 5:   23 Inverse Functions
  518.    wt: 5:   18 Vertical Line Rule and Method
  519.    wt: 5:   15 Sign analysis of functions
  520.    wt: 5:   10 Interval Notation
  521.    wt: 5:   8 Set view of relations and functions
  522.    wt: 5:   1 Geometric Introduction of Function Notation
  523.    wt: 5:   Introduction Reading Guide
  524.    wt: 5:   7 Links Lessons Elsewhere
  525.    wt: 5:   28 Expressing products of sines cosines as sums
  526.    wt: 5:   8 period of tangent function
  527.    wt: 5:   7 period of sine and cosine
  528.    wt: 5:   1 Unit Points Reflections Rotations
  529.    wt: 5:   14 Law of cosines
  530.    wt: 5:   9 The complex number valued trig function cis
  531.    wt: 5:   4 Multiplication Properties
  532.    wt: 5:   About Folder Contents
  533.    wt: 5:   musings do not puiblish real numbers
  534.    wt: 5:   19 Signed Multiples of Vectors
  535.    wt: 5:   15 Real Number Division
  536.    wt: 5:   6 Unsigned Real Numbers
  537.    wt: 5:   6 Power Set Notation
  538.    wt: 5:   5 Product Builder Notation
  539.    wt: 5:   4 Subset Builder Notation
  540.    wt: 5:   9 subtracting signed numbers
  541.    wt: 5:   6 adding signed numbers
  542.    wt: 5:   5 lengths and signs of numbers
  543.    wt: 5:   5 Zero Movement and Additive Inverses
  544.    wt: 5:   The 12 Times Table Visually
  545.    wt: 5:   6 How long is a million seconds
  546.    wt: 5:   5 Conversion Arithmetic
  547.    wt: 5:   5 Area Under Curve Exercise
  548.    wt: 5:   3 Two Chain Rule Method Exercises
  549.    wt: 5:   1 Chain Rule in Reverse Integration Method
  550.    wt: 5:   9 Limits Continuity and Composition
  551.    wt: 5:   G.5 Motions With Bounded Velocities
  552.    wt: 5:   D2 Limits of Monotone Sequences
  553.    wt: 5:   Appendix B. How To Learn
  554.    wt: 5:   Chapter 28 Occurrence Tables
  555.    wt: 5:   Chapter 22. Geometric Sums and Sequences
  556.    wt: 5:   Chapter 21. Third Reading Guide
  557.    wt: 5:   Chapter 19. Functions and Sets
  558.    wt: 5:   Solutions For Arithmetic Exercises
  559.    wt: 5:   Foreword
  560.    wt: 5:   Postscript B Mathematics Education References
  561.    wt: 5:   Postscript A Three Remarks
  562.    wt: 5:   L Skills with take home value
  563.    wt: 5:   H Jigsaw puzzles and problem solving
  564.    wt: 5:   C. Domino effect of being careful
  565.    wt: 5:   A. Skill has to be seen to believed
  566.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  567.    wt: 4:   chapitre 12 00 les iles et division
  568.    wt: 4:   chapitre 05 00 Deception
  569.    wt: 4:   chapitre 04 02 Deuxieme enigme
  570.    wt: 4:   chapitre 04 01 Premiere enigme
  571.    wt: 4:   problemes algebre et arithmetique
  572.    wt: 4:   Trois Notions qui menent a algebre
  573.    wt: 4:   3 Like resistors in parallel
  574.    wt: 4:   24 Standards For Skill Develoment
  575.    wt: 4:   18 Primary School Mathematics
  576.    wt: 4:   14 Multiplication and Times Tables
  577.    wt: 4:   10 Ends values for work study instruction
  578.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  579.    wt: 4:   26 Function definitions done and coming
  580.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  581.    wt: 4:   12 Function Domain Recognition Exercises
  582.    wt: 4:   7 Functions with finite domains
  583.    wt: 4:   Unit Circle Development of Trigonometry
  584.    wt: 4:   20 N th Roots of Complex Numbers
  585.    wt: 4:   19 N th Roots of Unity
  586.    wt: 4:   18 Sixth Roots of Unity
  587.    wt: 4:   8 Unit Circle Development of Trigonometry
  588.    wt: 4:   6 Field Properties of Complex Number
  589.    wt: 4:   2 Integers
  590.    wt: 4:   8 Sets of Numbers
  591.    wt: 4:   1 Finite Sets
  592.    wt: 4:   About Folder Contents
  593.    wt: 4:   10 dividing signed numbers
  594.    wt: 4:   8 multiplying signed numbers
  595.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  596.    wt: 4:   8 Multiplication by Signed Numbers Integers
  597.    wt: 4:   7 Multiplication by Signs
  598.    wt: 4:   4 Adding Movements wiht opposite directions
  599.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  600.    wt: 4:   The 20 Times Table
  601.    wt: 4:   About folder contents
  602.    wt: 4:   2 Indefinite Integrals Exercises
  603.    wt: 4:   Chapter 12 Four Phases
  604.    wt: 4:   Chapter 10 Transition
  605.    wt: 4:   Chapter 7 Two Treatments of Geometry
  606.    wt: 4:   Chapter 1 Introduction
  607.    wt: 4:   Foreword
  608.    wt: 4:   1 Links to Online Resources Elsewhere Take 1
  609.    wt: 4:   H more Routine to non routine problem solving
  610.    wt: 4:   B. Domino effect of errors
  611.    wt: 4:   How to Build Skills and Confidence
  612.    wt: 3:   liens
  613.    wt: 3:   problemes responses
  614.    wt: 3:   deux definitions pour variable
  615.    wt: 3:   2 Conductance Resistance Duality02
  616.    wt: 3:   1 Conductance Resistance Duality01
  617.    wt: 3:   F Wire Resistance Calculation04
  618.    wt: 3:   D Wire Resistance Calculation02
  619.    wt: 3:   C Wire Resistance Calculation01
  620.    wt: 3:   B Wire Resistance Qualitative02
  621.    wt: 3:   2 Unlike resistors in parallel01
  622.    wt: 3:   B Electromotive force conventional current01
  623.    wt: 3:   Home Tutoring and Home Schooling
  624.    wt: 3:   22 Student Centered Highschool Mathematics
  625.    wt: 3:   15 Counting For Parents
  626.    wt: 3:   9 Streaming by Student Cooperation
  627.    wt: 3:   8 The Effect of Negative Remarks
  628.    wt: 3:   2 Reading and Writing Skills
  629.    wt: 3:   14 Surjections Injections Bijections
  630.    wt: 3:   B Integer Long Division Multiple Choices
  631.    wt: 3:   9 Multiplying Integers
  632.    wt: 3:   Chapter 9 The Two Ends
  633.    wt: 3:   Chapter 8 Modern Instruction
  634.    wt: 3:   Chapter 5 Four References
  635.    wt: 3:   The Math Forum and Site Content
  636.    wt: 2:   logique deux enigme
  637.    wt: 2:   3 Energy Power Heat08
  638.    wt: 2:   C Energy Power03
  639.    wt: 2:   C Electromotive force conventional current02
  640.    wt: 2:   7 Student Motivation
  641.    wt: 2:   1 Speaking Skills
  642.    wt: 2:   Road Safety Questions
  643.    wt: 22:   13 Pythagorean spatial distance formulas
  644.    wt: 20:   Parallel Lines and Alternating Corresponding Angles
  645.    wt: 1:   4 Energy Power Heat09
  646.    wt: 1:   2 Energy Power Heat07
  647.    wt: 1:   1 Energy Power Heat06
  648.    wt: 1:   A Energy Power01
  649.    wt: 1:   1 Like resistors in series
  650.    wt: 1:   F Unlike Resistors in Series
  651.    wt: 1:   E Kirchoffs Second Law
  652.    wt: 1:   D Kirchoff First Law
  653.    wt: 1:   A Circuit Elements
  654.    wt: 19:   Parallel Lines and Parallel Transversals
  655.    wt: 19:   10 Pythagorean plane distance formula
  656.    wt: 18:   Proportionality of Line Segments From Parallel Transversals
  657.    wt: 18:   5 Cartesian Addition and Translation
  658.    wt: 18:   3 Rectangular Coordinates Review
  659.    wt: 17:   Parallel Lines and Interior Angles
  660.    wt: 17:   9 Pythagorean Theorem Chinese Square Proof
  661.    wt: 17:   1 Cartesian Coordinates sans signs
  662.    wt: 16:   4 Circle Sector Area proportional to Central Angle
  663.    wt: 16:   3 Circle Arclengh Proportional to Central Angle
  664.    wt: 16:   12 Spatial Coordinates
  665.    wt: 16:   11 Triangle Inequality
  666.    wt: 16:   6 Polar Multiplication and Rotation
  667.    wt: 16:   4 Polar Coordinates to and from
  668.    wt: 16:   2 Cartesian Coordinates with signs
  669.    wt: 16:   3 Lengths and Areas on Maps and Plans
  670.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  671.    wt: 16:   3 Solving triangular system example
  672.    wt: 16:   3 Triangle Area Formula Example
  673.    wt: 16:   2 Another Rectangle Area Formula Example
  674.    wt: 16:   3 Harder Cases Convert to Compare and Subtract
  675.    wt: 15:   8 quadratics backward use of various formulas
  676.    wt: 15:   3 Natural Logarithms and Exponentials Basic Properties
  677.    wt: 15:   4 Rates Ratios and Proporitionality
  678.    wt: 15:   3 Proportionality Examples
  679.    wt: 15:   9 Circle Area and Perimeter Formula Backwards Forwards
  680.    wt: 15:   2 More and Less Than for Counts and Measures
  681.    wt: 15:   5 Gaussian Elimination for 3 unknowns 2nd example
  682.    wt: 15:   3 GE III Equation Addition and Multiplication
  683.    wt: 15:   13 Naming Identifying Formulas with Words
  684.    wt: 15:   6 Pythagorean Hypotenuse Calculation Example
  685.    wt: 15:   3. How to add with decimals A sans conversions
  686.    wt: 15:   11 Place Value SI Standard International way
  687.    wt: 15:   Chapter 17. Area Approximation
  688.    wt: 15:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  689.    wt: 15:   3 Telling Tracking Time Temporal and More Place Sense
  690.    wt: 14:   Ramblings Introduction Algebra Essay
  691.    wt: 14:   sign monoticity analysis example 3
  692.    wt: 14:   9 Summary Degrees to Radians and back
  693.    wt: 14:   7 Radian Measures in special Triangles
  694.    wt: 14:   2 Radian Measure Numerical Value of one degree
  695.    wt: 14:   7 Coordinate Addition and Scalar Multiplication
  696.    wt: 14:   3 Navigation with Arrows or Vectors
  697.    wt: 14:   Triangle Angles Sum To 180 Degrees
  698.    wt: 14:   Construction Methods and Criteria for Isometric and Similar Triangles
  699.    wt: 14:   SAS Method For Isometric Or Proportional Triangle Construction
  700.    wt: 14:   10 Straight Lines through Origin Equations More
  701.    wt: 14:   3 Straight Lines Slope as Tangent of Inclination Angle
  702.    wt: 14:   13 Navigation Location from Angles to 2 Landmarks
  703.    wt: 14:   8 Distance Between Points on a Line
  704.    wt: 14:   4 Angles on Maps Plans drawn to scale
  705.    wt: 14:   5 Proportionality in Equivalent Fractions
  706.    wt: 14:   8 Pythagorean Relation Forwards Backwards
  707.    wt: 14:   4 Rectangle Area and Like Formulas Backwards
  708.    wt: 14:   4 Solving a triangular system exercise
  709.    wt: 14:   4 Circle Area Formula Example
  710.    wt: 14:   1 Written work formats for developing and showing skill
  711.    wt: 14:   1 Squares and Square Roots Introduction
  712.    wt: 14:   9 GCD of 360 110 via Primes and Euclid Algorithm
  713.    wt: 14:   18 video Count Factors given Prime Factorization
  714.    wt: 14:   15 video Factors of 20 using Prime Factorization
  715.    wt: 14:   10 video Prime Factorization upto 23 squared
  716.    wt: 14:   7 Calculator Usage Notes and Cautions
  717.    wt: 14:   5 Prime Factorization and a Square Rule
  718.    wt: 14:   Long Division forwards and backwards Example 3
  719.    wt: 14:   Long Division forwards and backwards Example 1
  720.    wt: 14:   1 Comparison and Subtraction Easy Direct Cases
  721.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  722.    wt: 14:   Chapter 3 Algebra Starter Lessons
  723.    wt: 14:   Primary and Secondary Skills and Practices with Take Home Value
  724.    wt: 14:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  725.    wt: 14:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  726.    wt: 13:   Appendix 1 primary and preschool mathematic
  727.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  728.    wt: 13:   Skills Chapter 3 Algebra
  729.    wt: 13:   7 quadratic formulla derivation
  730.    wt: 13:   6 quadratics numerical approach
  731.    wt: 13:   3 quadratics factoring by inspection
  732.    wt: 13:   8 Formulas for Fractional Exponents with Logarithms
  733.    wt: 13:   5 Natural Logarithm Calculator Exercises
  734.    wt: 13:   8 Radian Measures of Common Angles
  735.    wt: 13:   1 Degrees and Radians Introduction
  736.    wt: 13:   14 Why Scalar Multiplication Distributes Physical Argument
  737.    wt: 13:   2 Graphing y=Af(x) Vertical Scaling
  738.    wt: 13:   Analytic View of Triangle Construction or Line Instersection More
  739.    wt: 13:   14 Straight Lines Equations General Case
  740.    wt: 13:   34 sines and cosines of 2A 3A 4A 5A
  741.    wt: 13:   33 sines and cosines of 2A 3A 4A 5A
  742.    wt: 13:   11 A Partial Summary
  743.    wt: 13:   7 Complex Numbers Appetizer
  744.    wt: 13:   PS D Addition with Cartesian Coordinates
  745.    wt: 13:   8 More Use of Maps Not Drawn to Scale
  746.    wt: 13:   5 Drawing to Scale Avoids Angle Distortions
  747.    wt: 13:   1 What is Proportionality
  748.    wt: 13:   5 Triangle Area Formula Backwards
  749.    wt: 13:   5 Greater More Less Than Signs in General
  750.    wt: 13:   3 More and Less Than with Unlike Signs
  751.    wt: 13:   3 Two Examples
  752.    wt: 13:   8 Compound Interest Formula Evaluation
  753.    wt: 13:   3 Properties of Square Roots with example
  754.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  755.    wt: 13:   A Decimals Modular and Remainder Arithmetic
  756.    wt: 13:   17 Identify and Count Factors using Primes
  757.    wt: 13:   13 video Factors of 24 using prime
  758.    wt: 13:   9 video Prime Factorization upto 19 squared
  759.    wt: 13:   4 video Prime Factorization Introduction
  760.    wt: 13:   3 video Primes and Composites from 9 times table
  761.    wt: 13:   1 video how Products are bigger than factor
  762.    wt: 13:   Long Division forwards and backwards Example 2
  763.    wt: 13:   A Elementary Basis for Multiplication Methods
  764.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  765.    wt: 13:   Appendix 1 Decimals Comparison Method Take II
  766.    wt: 13:   Subtraction Another Video Lesson
  767.    wt: 13:   7 Subtraction for Decimal Fractions with Exercises
  768.    wt: 13:   2 Subtraction Easy Case Examples
  769.    wt: 13:   8 What skills and work habits to require
  770.    wt: 13:   7 Adding decimal fractions using decimal point
  771.    wt: 13:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  772.    wt: 13:   5 More on Groups of 3 Place Value in Decimal Fractions
  773.    wt: 13:   3 More on Groups of 3 Multi Digit Place Value
  774.    wt: 13:   Example 1. Area Between x and x squared
  775.    wt: 13:   38 Formulas and derivatives for powers and roots
  776.    wt: 13:   Postscript Pythagorean Theorem yet another proof
  777.    wt: 13:   Chapter 18. Slopes Areas Integration
  778.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  779.    wt: 13:   Chapter 14 Limits and Continuity with and sans Decimals
  780.    wt: 13:   Chapter 13. Acceleration
  781.    wt: 13:   Chapter 3. Slope Sign Analysis
  782.    wt: 13:   Appendix A Calculus with Proofs for Keen or Gifted
  783.    wt: 13:   Chapter 6 More Algebra and Geometry
  784.    wt: 13:   Chapter 4 Logic for Reading Writing and Geometry etc
  785.    wt: 13:   5 Interpreting and Drawing Maps and Plans.
  786.    wt: 12:   E LAMP Introduction Modern Mathematics
  787.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  788.    wt: 12:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  789.    wt: 12:   sign monoticity analysis example 4
  790.    wt: 12:   sign monoticity analysis example 2
  791.    wt: 12:   sign monoticity analysis example 1
  792.    wt: 12:   A Quadratics Summary
  793.    wt: 12:   9 quadratics physical and further context
  794.    wt: 12:   2 quadratics graphing in general
  795.    wt: 12:   9 Formulas for Real Exponents with Logarithms
  796.    wt: 12:   7 Formulas for Roots with Logarithms Derivation
  797.    wt: 12:   6 Formulas for Even and Odd Roots with Logarithms
  798.    wt: 12:   6 Radian Measure to Degrees
  799.    wt: 12:   5 Degrees to Radian Measure
  800.    wt: 12:   A Global Time and Navigation
  801.    wt: 12:   Straight Lines ASA Intersection Study More
  802.    wt: 12:   D Straight Lines Slope from Coordinates Examples
  803.    wt: 12:   13 Straight Lines Finding Equations from 2 points
  804.    wt: 12:   12 Straight Lines Graphing mx plus b
  805.    wt: 12:   11 Straight Lines Graphing y=mx
  806.    wt: 12:   9 Straight Lines through Origin Equations
  807.    wt: 12:   8 Straight Lines Equation for vertical
  808.    wt: 12:   6 Tangent Function Inclination Angle Take 2
  809.    wt: 12:   35 sines and cosines of 2A 3A 4A 5A
  810.    wt: 12:   3 Similarity by Design with coordinates
  811.    wt: 12:   PS F Scalar Multiplication Distributes over Addition
  812.    wt: 12:   PS E Multiplication with Polar Coordinates
  813.    wt: 12:   13 Angle Side Angle Failure
  814.    wt: 12:   3 Inequalities Algebraically
  815.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  816.    wt: 12:   2 Algebraic View
  817.    wt: 12:   4 GE III Animated Examples
  818.    wt: 12:   2 Essentially one exercises three with solution
  819.    wt: 12:   1 Essentially One Unknown
  820.    wt: 12:   6 Algebraic Solution Example
  821.    wt: 12:   5 Algebraic Solutions Introduction
  822.    wt: 12:   4 Four Examples Fractional Coefficients
  823.    wt: 12:   3 Four Examples
  824.    wt: 12:   Formula Usage Show Work Format
  825.    wt: 12:   7 Compound Interest Formula Introduction
  826.    wt: 12:   5 Box Volume Formula Example
  827.    wt: 12:   5 Square Roots with primes more still
  828.    wt: 12:   4 Square Roots with primes more
  829.    wt: 12:   17 GCD LCM of 85 and 60 via Prime
  830.    wt: 12:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  831.    wt: 12:   7 GCD and LCM from prime factorization
  832.    wt: 12:   3 signed coordinates for maps and planes
  833.    wt: 12:   17 Efficient Ways to Add and Subtract
  834.    wt: 12:   8 Numerals Fractionals Quantals Take II
  835.    wt: 12:   13 Remainder Arithmetic Modulo 5 Example
  836.    wt: 12:   11 Remainder Arithmetic Long Division by 5 Quickly more
  837.    wt: 12:   8 Remainder Arithmetic Morulo 5 Examples II
  838.    wt: 12:   7 Remainder Arithmetic Modulo 5 Examples I
  839.    wt: 12:   19 video Prime Factorization Unique
  840.    wt: 12:   14 video Factors of 24 Take II
  841.    wt: 12:   8 video Prime Factorization upto 19
  842.    wt: 12:   6 Multiplication Commutes Order Not Important
  843.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  844.    wt: 12:   Video Power Notation in Decimal Expansion
  845.    wt: 12:   Appendix 2 Three Decimal Subtraction Methods
  846.    wt: 12:   Subtraction with J Conversions Example
  847.    wt: 12:   5 A Tip for Efficent Subtraction
  848.    wt: 12:   4 Subtraction with Conversions Borrows and Letter J
  849.    wt: 12:   6. Counting and adding units and mixed units
  850.    wt: 12:   5. How to add decimals C. Examples
  851.    wt: 12:   1. Explaining Addition Table
  852.    wt: 12:   9 Place Value Review Decimal form of Avogrados number included
  853.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  854.    wt: 12:   4 Groups of 3 Place Value in Decimal Fractions
  855.    wt: 12:   Area Between Curves Lesson Take 2
  856.    wt: 12:   Area Between Curves Lesson Take 1
  857.    wt: 12:   33 Chain Rule Real Player video examples
  858.    wt: 12:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  859.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  860.    wt: 12:   Chapter 11. Graphing Slope versus Position
  861.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  862.    wt: 12:   Chapter 4. More Slope Sign Analysis
  863.    wt: 12:   Chapter 2. Slopes and Ski Trails
  864.    wt: 12:   Fall 1983 Calculus Appetizer
  865.    wt: 12:   Chapter 14. Forward and Backward Use of a Formula
  866.    wt: 12:   Chapter 17 Objective Ways Trial and Error Discovery
  867.    wt: 12:   Chapter 4 Implication Rules Forwards and Backwards
  868.    wt: 12:   Chapter 7 Calculus Previews and Calculus Lightly
  869.    wt: 12:   6 Measuring via counting or arithmetic the role of fractions
  870.    wt: 12:   2 Identifying Size and Position Place and Spatial Sense
  871.    wt: 12:   More Algebra and Slope based Calculus Preview
  872.    wt: 11:   Appendix 2 primary school Arithmetic 01
  873.    wt: 11:   J LAMP Introduction Extrinsic Origins
  874.    wt: 11:   I LAMP Introduction Study Habits
  875.    wt: 11:   H LAMP Introduction Instructional Concepts
  876.    wt: 11:   Ramblings Extrinsic numbers theory
  877.    wt: 11:   Skills Chapter 1 Arithmetic
  878.    wt: 11:   teaching tutoring algebraic reason
  879.    wt: 11:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  880.    wt: 11:   10 quadratic exercises
  881.    wt: 11:   5 quadratics completing the square
  882.    wt: 11:   4 quadratics difference of two squares
  883.    wt: 11:   1 quadratics graphing exercises
  884.    wt: 11:   Quadratics in 10 steps
  885.    wt: 11:   11 Growth and Decay in Biology
  886.    wt: 11:   1 Calculator Starter Exercises
  887.    wt: 11:   11 arctan left inverse of tangent Graph
  888.    wt: 11:   10 Parallelogram Addition Method
  889.    wt: 11:   9 Head to Tail Coordinate View
  890.    wt: 11:   5 Head To Tail Arrow Addition
  891.    wt: 11:   4 graphing y=Asin(x c)
  892.    wt: 11:   3 graphing y=f(x c) plus K
  893.    wt: 11:   1 graphing y=f(x a)
  894.    wt: 11:   Straight Lines ASA Intersection Study
  895.    wt: 11:   C Straight Lines Slope from Coordinates
  896.    wt: 11:   B Straight Line Slope Scaling Properties More
  897.    wt: 11:   A Straight Line Slope Scaling Properties
  898.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  899.    wt: 11:   29 secant cosecant and cotangent for acute angles
  900.    wt: 11:   17D cis formulas for sine cosines and tangent
  901.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  902.    wt: 11:   10 Similarity of Triangles Equivalent of Two Criteria
  903.    wt: 11:   7 Translations Rotations Reflections Dilatations
  904.    wt: 11:   3 Slope product for perpendicular lines
  905.    wt: 11:   PS B Parallelogram Construction Methods
  906.    wt: 11:   17 Right Bisectors of Triangle Sides
  907.    wt: 11:   16 Angles Subtended By Chords and Diameters
  908.    wt: 11:   11 Triangle Construction Fails
  909.    wt: 11:   6 Figuring with Maps Not to Scale
  910.    wt: 11:   2 Measuring Area Directly
  911.    wt: 11:   4 Fraction Operations Axiomatic Development
  912.    wt: 11:   7 Pythagorean Theorem Chinese Square Proof
  913.    wt: 11:   6 Compound Interest Forward and Backwards
  914.    wt: 11:   3 Linear Equation Literal Solution More
  915.    wt: 11:   6 Equations and Systems Equivalent or Implied
  916.    wt: 11:   2 Addition and Multiplication Axioms
  917.    wt: 11:   4 Comparison of Negative Numbers
  918.    wt: 11:   1 Real Numbers Comparison
  919.    wt: 11:   8 Coordinates for Maps and Planes
  920.    wt: 11:   3 Geometric Formulas and Function Notation
  921.    wt: 11:   1 Proper Equal Sign Usage
  922.    wt: 11:   Skill Development Notes
  923.    wt: 11:   10 One Example
  924.    wt: 11:   9 Three Examples
  925.    wt: 11:   8 One Example
  926.    wt: 11:   7 Two Examples
  927.    wt: 11:   6 Three Examples
  928.    wt: 11:   5 Three Examples
  929.    wt: 11:   4 Two Examples
  930.    wt: 11:   2 Three Examples
  931.    wt: 11:   12 Cone Cylinder Sphere Lesson Idea
  932.    wt: 11:   10 Volume of Pyramid
  933.    wt: 11:   1 More and Less Than for Counts and Measures
  934.    wt: 11:   2 Square Roots with Prime
  935.    wt: 11:   14 GCD of 650 110 via Primes LCM via Product Rule
  936.    wt: 11:   13 GCD from given Prime Factorization
  937.    wt: 11:   11 GCD 2700 288 via Euclid Algorithm
  938.    wt: 11:   2 Least Common Multiple LCM intro via list method
  939.    wt: 11:   3 Counting with Tables and Trees II
  940.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  941.    wt: 11:   21 Reciprocals for Fractions and Wholes
  942.    wt: 11:   15 Adding and Subtracting with Unlike Denominators
  943.    wt: 11:   14 Adding and Subtracting with Like Denominators
  944.    wt: 11:   13 Fraction Comparison Algebraic View
  945.    wt: 11:   11 Simplification an Algebraic View
  946.    wt: 11:   7 Numerals Fractionals Quantals
  947.    wt: 11:   6 Multiplication Algebraically Take II
  948.    wt: 11:   3 Unit fraction of a fraction
  949.    wt: 11:   1 What is a fraction Take II
  950.    wt: 11:   Fraction Operations by Raising Terms A Simple Innovation
  951.    wt: 11:   22 Remainder Arithmetic Modulo 3 more
  952.    wt: 11:   19 Remainder Arithmetic Rule of 9 for checking sums III
  953.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  954.    wt: 11:   15 Remainder Arithmetic Modulo 9 Example
  955.    wt: 11:   14 Remainder Arithmetic Modulo 9 Example
  956.    wt: 11:   12 Remainder Arithmetic Modulo 10 Example
  957.    wt: 11:   9 Remainder Arithmetic Divisibility by 5
  958.    wt: 11:   3 Remainder Arithmetic Modulos 10 more still
  959.    wt: 11:   20 Uniqueness of Prime Factorization
  960.    wt: 11:   16 video Factors of 980 using prime
  961.    wt: 11:   11 Efficient Square Rule Use
  962.    wt: 11:   6 Sieve of Eratosthenes and Square Rule
  963.    wt: 11:   11 Another Single Digit Divisor Example
  964.    wt: 11:   5 Decimal Fraction Multiplication
  965.    wt: 11:   3 More One Digit Multipliers
  966.    wt: 11:   8 Subtraction with Units of Measure
  967.    wt: 11:   6 Subtraction with Conversion Example with Exercises
  968.    wt: 11:   Appendix 1 Counting Revisited 15 minute video
  969.    wt: 11:   4. How to add with decimals B with conversions
  970.    wt: 11:   2 Decimal Counting Practices
  971.    wt: 11:   2 Groups of Three Place Value for Multidigit Decimals
  972.    wt: 11:   Example 1 volume of a pyramid
  973.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  974.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  975.    wt: 11:   Example 3
  976.    wt: 11:   A Chain Rule Real Player video examples
  977.    wt: 11:   28 Chain Rule Preparation for a Proof
  978.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  979.    wt: 11:   Chapter 23 Links To Trigonometry
  980.    wt: 11:   Chapter 21 Arrow Addition
  981.    wt: 11:   Chapter 20 Vectors and Complex Numbers
  982.    wt: 11:   Chapter 16. Velocity Approximation
  983.    wt: 11:   Chapter 15. Slope Approximation
  984.    wt: 11:   Chapter 12. Units and Slopes
  985.    wt: 11:   Chapter 10 Slopes and Units
  986.    wt: 11:   Chapter 9 About First Courses in Calculus
  987.    wt: 11:   Chapter 7 Slopes and Velocity
  988.    wt: 11:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  989.    wt: 11:   Chapter 16 Origins and Limitations of Rules and Patterns
  990.    wt: 11:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  991.    wt: 11:   Chapter 11 Accidental Patterns
  992.    wt: 11:   Chapter 8 Skipped Topics and Why
  993.    wt: 11:   7 Games and Activities for Instruction
  994.    wt: 11:   4 Money Matters Saving Earning Buying Selling and Budgets
  995.    wt: 11:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  996.    wt: 11:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  997.    wt: 11:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  998.    wt: 11:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  999.    wt: 10:   K LAMP Musings Science Education
  1000.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1001.    wt: 10:   F LAMP Introduction Prerequisites
  1002.    wt: 10:   A Introduction Objectives
  1003.    wt: 10:   Skills Chapter 5 Calculus
  1004.    wt: 10:   Skills Chapter 0 Introduction
  1005.    wt: 10:   11 pure mathematics
  1006.    wt: 10:   7 logic review and decimals an odd combination
  1007.    wt: 10:   5 logarithms and exponentials etc
  1008.    wt: 10:   3 Euclidean Geometry Leanly
  1009.    wt: 10:   Math Ed if it must be short make it lean effective
  1010.    wt: 10:   Applied Maths Program14092009 POMME variant
  1011.    wt: 10:   grouping students according to ability
  1012.    wt: 10:   three goals for Mathematics Education
  1013.    wt: 10:   standards for course material
  1014.    wt: 10:   formal or informal peer review
  1015.    wt: 10:   words for mathematics instructor
  1016.    wt: 10:   17 Function maxima minima and their location
  1017.    wt: 10:   10 Exponential Growth and Decay Models
  1018.    wt: 10:   2 Square Root Simplification a prequel
  1019.    wt: 10:   6 Polynomial Operations and Equivalent Computation Rules
  1020.    wt: 10:   16 cotangent function Definition Graph and Inverse
  1021.    wt: 10:   15 cosecant function Definition Graph and Inverse
  1022.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1023.    wt: 10:   12 motivation for term arctan
  1024.    wt: 10:   9 motivation for name arcsin
  1025.    wt: 10:   5 Swapping Coordinates is a reflection
  1026.    wt: 10:   13 Velocity Vectors in Physics
  1027.    wt: 10:   12 From Applied To Pure Mathematics
  1028.    wt: 10:   8 Parallel Vectors
  1029.    wt: 10:   6 Vectors with Coordinates
  1030.    wt: 10:   Vector and Complex Number Applet
  1031.    wt: 10:   Straight Lines Instersection Solving Equations
  1032.    wt: 10:   Straight Lines Intersection of
  1033.    wt: 10:   7 Tangent Function is odd on this domain
  1034.    wt: 10:   5 Tangent Function Graph
  1035.    wt: 10:   17 tangent function angle sum formulas
  1036.    wt: 10:   31 basic secant cosecant cotangent trig identities
  1037.    wt: 10:   19 Pythagorean Identity For sine and cosine functions
  1038.    wt: 10:   18 sum of sinusoidal waves as a single wave
  1039.    wt: 10:   17G Pythagorean Theorem Converse
  1040.    wt: 10:   17E Trig Formulas for dot and cross Products
  1041.    wt: 10:   17C sine and cosine double triple angle formulas
  1042.    wt: 10:   17B sine cosine Angle Sum Formulas via cis
  1043.    wt: 10:   14 cosine even and sine and tangent are odd
  1044.    wt: 10:   13 Trig Formulas for dot and cross Products
  1045.    wt: 10:   11 sine and cosine double triple angle formulas
  1046.    wt: 10:   2 Similar Triangles Equality of Corresponding Side Ratios
  1047.    wt: 10:   11 Triangle Similarity Missing Side Problem
  1048.    wt: 10:   9 Similarity of Triangles Usual Criteria
  1049.    wt: 10:   6 Geometric Diagrams in Class
  1050.    wt: 10:   5 Similarity of Circles Squares and Rectangles
  1051.    wt: 10:   1 Early Concept of Like or Similar Shapes
  1052.    wt: 10:   10 Midpoint of [a b] and [b a]
  1053.    wt: 10:   9 Midpoint Coordinates Half Endpoint Sum
  1054.    wt: 10:   5 Algebraic View of Slopes
  1055.    wt: 10:   4 Equations for lines three forms
  1056.    wt: 10:   2 point slope equation for a line
  1057.    wt: 10:   1 Numerical view of lines and their equations
  1058.    wt: 10:   PS H Distributive Law For Complex Numbers
  1059.    wt: 10:   PS G Rotation Distributes over Addition
  1060.    wt: 10:   PS C Similarity Use Recognize it in Trigonometry
  1061.    wt: 10:   21 Parallelograms
  1062.    wt: 10:   18 Triangle Similarity Take 1
  1063.    wt: 10:   14 Parallel Lines Postulate
  1064.    wt: 10:   6 Ruler and compass Angle Bisection
  1065.    wt: 10:   3 Isometry of Triangles Congruence
  1066.    wt: 10:   A Measurement with Ruler Proper Use
  1067.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1068.    wt: 10:   15 Head to Tails in place Addition Associative
  1069.    wt: 10:   13 Arrows and Vectors in a Plane
  1070.    wt: 10:   B Decimal Comparison and Subtraction
  1071.    wt: 10:   4 Commutative Law Groups Counting Form
  1072.    wt: 10:   5 Areas of Rectangles Revisited
  1073.    wt: 10:   2 Fraction Operations Physical Development
  1074.    wt: 10:   5 Equality in Algebra
  1075.    wt: 10:   4 Subtraction and Division Axioms
  1076.    wt: 10:   3 Product Axioms Two Forms
  1077.    wt: 10:   1 Formulas Dependence and Function Notation
  1078.    wt: 10:   2 GE II Comparison
  1079.    wt: 10:   1 GE Substitution four examples
  1080.    wt: 10:   2 Three Examples
  1081.    wt: 10:   11 Volume of Sphere
  1082.    wt: 10:   16 GCD and LCM of 650 225 via Prime
  1083.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14
  1084.    wt: 10:   8 GCD from Euclidean Algorithm
  1085.    wt: 10:   1 Least Common Multiples LCM Introduction
  1086.    wt: 10:   5 Counting with Tables Trees Product Rule Take II
  1087.    wt: 10:   2 Counting with Tables and Trees I
  1088.    wt: 10:   11 What are real lengths and numbers
  1089.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1090.    wt: 10:   16 Addition Subtraction Comparision Compared
  1091.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1092.    wt: 10:   1 What is a fraction
  1093.    wt: 10:   A Associative Law Theorectical Note
  1094.    wt: 10:   11 Adding Integers Formulas and Examples
  1095.    wt: 10:   25 Divisibility Tests for 2 3 5 9 10 Example
  1096.    wt: 10:   23 Remainder Arithmetic Modulo 2
  1097.    wt: 10:   21 Remainder Arithmetic Modulo 3
  1098.    wt: 10:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  1099.    wt: 10:   18 Remainder Arithmetic Rule of 9 for checking sums II
  1100.    wt: 10:   16 Remainder Arithmetic Modulo 9 Example 2
  1101.    wt: 10:   10 Remainder Arithmetic Long Division by 5 Quickly
  1102.    wt: 10:   6 Remainder Arithmetic Modulo 5 Propertie
  1103.    wt: 10:   4 Remainder Arithmetic Modulo 10 in general
  1104.    wt: 10:   2 Remainder Arithmetic Modulo 10 more
  1105.    wt: 10:   2 Prime and Composites less than 16
  1106.    wt: 10:   Long Division Backwards more
  1107.    wt: 10:   Long Division Backward
  1108.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  1109.    wt: 10:   3 Division Single Digit Divisor Example
  1110.    wt: 10:   D Decimal Multiplication Methods Derived
  1111.    wt: 10:   C Counting Areas with Powers of Ten
  1112.    wt: 10:   1 Why 3 times 5 gives 15
  1113.    wt: 10:   9 22 Minute Subtraction Review Video
  1114.    wt: 10:   10 Names for Big Numbers and Powers of Ten Expansion
  1115.    wt: 10:   Example 2 volume of a cone
  1116.    wt: 10:   Example 4 with x function of y
  1117.    wt: 10:   Example 2
  1118.    wt: 10:   Example 1
  1119.    wt: 10:   36 Cube root derivative animated
  1120.    wt: 10:   25 Chain Rule Animated Examples Continued
  1121.    wt: 10:   24 Chain Rule Animated Examples
  1122.    wt: 10:   22 Chain Rule for polynomials
  1123.    wt: 10:   7 Animated Differentiation Examples
  1124.    wt: 10:   3 Motivation for Limit Definition Take 2
  1125.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1126.    wt: 10:   F.3 Intermediate Value Theorem
  1127.    wt: 10:   B3 Bolzano Weierstrass Theorem
  1128.    wt: 10:   PostScript For and Against Decimal Perspectives
  1129.    wt: 10:   Chapter 8. Slope Interpretation
  1130.    wt: 10:   Chapter 1.Introduction
  1131.    wt: 10:   Foreword
  1132.    wt: 10:   Chapter 2 Implication Rules Forwards and Backwards
  1133.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1134.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1135.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1136.    wt: 10:   V Reasons and Motivations for Logic and Mathematics
  1137.    wt: 10:   Chapter 2 Why Sets
  1138.    wt: 10:   Chapter 1 Arithmetic
  1139.    wt: 10:   1 From Number Recognition and Counting to Arithmetic A
  1140.    wt: 10:   Systematic Algebra Skill Development Missing Links

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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 bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

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

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

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