Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

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

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

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

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

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Location: Site Entrance << Search

[1] [2] [3]

Key Word Search

Folder Search

83 matches:

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

Web Page Search

1058 matches:

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

Extended Search

1117 matches:

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

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]

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

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

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

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