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.

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

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1057 matches:

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

Extended Search

1117 matches:

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

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

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

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