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

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

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

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

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

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

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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

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85 matches:

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

Web Page Search

1098 matches:

  1.    wt: 9:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 9:   9 Circle Area and Perimeter Formula Backwards Forwards
  3.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  4.    wt: 9:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  5.    wt: 8:   29 secant cosecant and cotangent for acute angles
  6.    wt: 8:   13 Pythagorean spatial distance formulas
  7.    wt: 8:   4 Rectangle Area and Like Formulas Backwards
  8.    wt: 8:   2 Another Rectangle Area Formula Example
  9.    wt: 8:   Long Division forwards and backwards Example 2
  10.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  11.    wt: 8:   Chapter 2 For and Against Mathematics
  12.    wt: 8:   Primary and Secondary Skills and Practices with Take Home Value
  13.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  14.    wt: 8:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  15.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  16.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  17.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  18.    wt: 7:   8 quadratics backward use of various formulas
  19.    wt: 7:   Parallel Lines and Parallel Transversals
  20.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  21.    wt: 7:   12 cis formulas for sine cosines and tangent
  22.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  23.    wt: 7:   10 Pythagorean plane distance formula
  24.    wt: 7:   3 Lengths and Areas on Maps and Plans
  25.    wt: 7:   8 Pythagorean Relation Forwards Backwards
  26.    wt: 7:   5 Triangle Area Formula Backwards
  27.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  28.    wt: 7:   Long Division forwards and backwards Example 3
  29.    wt: 7:   Long Division forwards and backwards Example 1
  30.    wt: 7:   11 Place Value SI Standard International way
  31.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  32.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  33.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  34.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  35.    wt: 7:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  36.    wt: 6:   Applied Maths Program14092009 POMME variant
  37.    wt: 6:   three goals for Mathematics Education
  38.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  39.    wt: 6:   2 Conductance Resistance Duality02
  40.    wt: 6:   27 Graduated Correction and Penalties for Young Offenders
  41.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  42.    wt: 6:   12 Goals and Objectives For Mathematics
  43.    wt: 6:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  44.    wt: 6:   25 Absolute Value greatest integer and saw tooth functions
  45.    wt: 6:   8 Formulas for Fractional Exponents with Logarithms
  46.    wt: 6:   5 Natural Logarithm Calculator Exercises
  47.    wt: 6:   3 Natural Logarithms and Exponentials Basic Properties
  48.    wt: 6:   2 Radian Measure Numerical Value of one degree
  49.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  50.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  51.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  52.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  53.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  54.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  55.    wt: 6:   21 sine and cosine Half Angle Formulas
  56.    wt: 6:   17D cis formulas for sine cosines and tangent
  57.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  58.    wt: 6:   5 Cartesian Addition and Translation
  59.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  60.    wt: 6:   4 Angles on Maps Plans drawn to scale
  61.    wt: 6:   25 Mid way Convergence to Axiomatic Approach
  62.    wt: 6:   15 Head to Tails in place Addition Associative
  63.    wt: 6:   2 More and Less Than for Counts and Measures
  64.    wt: 6:   8 Coordinates for Maps and Planes
  65.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  66.    wt: 6:   3 Triangle Area Formula Example
  67.    wt: 6:   3 signed coordinates for maps and planes
  68.    wt: 6:   8 Numerals Fractionals Quantals Take II
  69.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  70.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  71.    wt: 6:   A Elementary Basis for Multiplication Methods
  72.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  73.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  74.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  75.    wt: 6:   38 Formulas and derivatives for powers and roots
  76.    wt: 6:   28 Chain Rule Preparation for a Proof
  77.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  78.    wt: 6:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  79.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  80.    wt: 6:   Chapter 29 Contrapositive and Vacuously True Implications
  81.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  82.    wt: 6:   Chapter 25. Mathematical Induction Examples
  83.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  84.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  85.    wt: 6:   5 Interpreting and Drawing Maps and Plans.
  86.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  87.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  88.    wt: 5:   Appendix 1 primary and preschool mathematic
  89.    wt: 5:   02 20 mathematics education references
  90.    wt: 5:   three aims for mathematics students
  91.    wt: 5:   standards for course material
  92.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  93.    wt: 5:   chapitre 06 00 Chaines de la raison
  94.    wt: 5:   D Wire Resistance Calculation02
  95.    wt: 5:   B Wire Resistance Qualitative02
  96.    wt: 5:   A Wire Resistance Qualitative01
  97.    wt: 5:   24 Standards For Skill Develoment Take II
  98.    wt: 5:   5 Patience Please for Yourself and Your Charges
  99.    wt: 5:   Ages 12 to 14 Skills with take home value
  100.    wt: 5:   sign monoticity analysis example 2
  101.    wt: 5:   22 Square Root function graphically
  102.    wt: 5:   17 Function maxima minima and their location
  103.    wt: 5:   6 Set Existence Formation and Notation
  104.    wt: 5:   5 Function notation for geometric transformations
  105.    wt: 5:   7 quadratic formulla derivation
  106.    wt: 5:   6 quadratics numerical approach
  107.    wt: 5:   2 quadratics graphing in general
  108.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  109.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  110.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  111.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
  112.    wt: 5:   12 motivation for term arctan
  113.    wt: 5:   9 Summary Degrees to Radians and back
  114.    wt: 5:   7 Radian Measures in special Triangles
  115.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  116.    wt: 5:   A Global Time and Navigation
  117.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  118.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  119.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  120.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  121.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  122.    wt: 5:   26 Formulas for products of sines and cosines
  123.    wt: 5:   25 tangent double angle formula Slope connection
  124.    wt: 5:   24 tangent Angle Difference Formula
  125.    wt: 5:   20 sine and cosine Double Angle Formulas
  126.    wt: 5:   18 sum of sinusoidal waves as a single wave
  127.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  128.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  129.    wt: 5:   2 Similar Triangles Equality of Corresponding Side Ratios
  130.    wt: 5:   7 Translations Rotations Reflections Dilatations
  131.    wt: 5:   PS D Addition with Cartesian Coordinates
  132.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  133.    wt: 5:   A Modular and Remainder Arithmetic
  134.    wt: 5:   26 More Less Greater Than Comparison
  135.    wt: 5:   B Decimal Comparison and Subtraction
  136.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  137.    wt: 5:   6 Compound Interest Forward and Backwards
  138.    wt: 5:   2 Addition and Multiplication Axioms
  139.    wt: 5:   Formula Usage Show Work Format
  140.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  141.    wt: 5:   4 Circle Area Formula Example
  142.    wt: 5:   6 Three Notions of What is a Variable
  143.    wt: 5:   2 What is a Variable
  144.    wt: 5:   arithmetic videos Real Player Format
  145.    wt: 5:   1 More and Less Than for Counts and Measures
  146.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  147.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  148.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  149.    wt: 5:   21 Reciprocals for Fractions and Wholes
  150.    wt: 5:   16 Addition Subtraction Comparision Compared
  151.    wt: 5:   7 Numerals Fractionals Quantals
  152.    wt: 5:   1 What is a fraction Take II
  153.    wt: 5:   A Associative Law Theorectical Note
  154.    wt: 5:   11 Adding Integers Formulas and Examples
  155.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  156.    wt: 5:   7 Calculator Usage Notes and Cautions
  157.    wt: 5:   5 Prime Factorization and a Square Rule
  158.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  159.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  160.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  161.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  162.    wt: 5:   2 Subtraction Easy Case Examples
  163.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  164.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  165.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  166.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  167.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  168.    wt: 5:   Example 1. Area Between x and x squared
  169.    wt: 5:   A Chain Rule Real Player video examples
  170.    wt: 5:   25 Chain Rule Animated Examples Continued
  171.    wt: 5:   24 Chain Rule Animated Examples
  172.    wt: 5:   22 Chain Rule for polynomials
  173.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  174.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  175.    wt: 5:   PostScript For and Against Decimal Perspectives
  176.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  177.    wt: 5:   Chapter 17. Area Approximation
  178.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  179.    wt: 5:   Appendix A. Reading Guide For Next Appendices
  180.    wt: 5:   Chapter 20. Degrees and Radians
  181.    wt: 5:   Chapter 10 Describing and Changing Calculations
  182.    wt: 5:   Chapter 8 Three Skills For Algebra
  183.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  184.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  185.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  186.    wt: 5:   Postscript C Consistency as a Tool for Reason
  187.    wt: 5:   Chapter 17 Objective Ways Trial and Error Discovery
  188.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  189.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  190.    wt: 5:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  191.    wt: 5:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  192.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  193.    wt: 5:   Mathematics Teacher Certification Best Practices
  194.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  195.    wt: 4:   Appendix 2 primary school Arithmetic 01
  196.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  197.    wt: 4:   7 logic review and decimals an odd combination
  198.    wt: 4:   Maps Plans Drawings
  199.    wt: 4:   Secondary Three Mathematics
  200.    wt: 4:   02 21 words for teachers
  201.    wt: 4:   formal or informal peer review
  202.    wt: 4:   Education in mathematics science and technology
  203.    wt: 4:   three kinds of reason in mathematics
  204.    wt: 4:   need for a mixed mathematics curriculum
  205.    wt: 4:   Prequel In For A Penny In For A Pound
  206.    wt: 4:   education an empirical art
  207.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  208.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  209.    wt: 4:   chapitre 02 00 La Communication des idees
  210.    wt: 4:   1 Conductance Resistance Duality01
  211.    wt: 4:   F Wire Resistance Calculation04
  212.    wt: 4:   E Wire Resistance Calculation03
  213.    wt: 4:   C Wire Resistance Calculation01
  214.    wt: 4:   2 Unlike resistors in parallel01
  215.    wt: 4:   24 Standards For Skill Develoment
  216.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  217.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  218.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  219.    wt: 4:   22 Student Centered Highschool Mathematics
  220.    wt: 4:   17 Math Booklets for children and young teenagers
  221.    wt: 4:   16 Secondary Mathematics Tips
  222.    wt: 4:   13 Addition and Addition Tables
  223.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  224.    wt: 4:   4 Learning Takes Time and Effort
  225.    wt: 4:   2 Reading and Writing Skills
  226.    wt: 4:   sign monoticity analysis example 4
  227.    wt: 4:   sign monoticity analysis example 3
  228.    wt: 4:   sign monoticity analysis example 1
  229.    wt: 4:   20 Interchanging coordinates a reflection
  230.    wt: 4:   11 Function Domain Range Source and Targets
  231.    wt: 4:   4 Function notation in and beyond mathematics
  232.    wt: 4:   3 Formula or function graphing exercise
  233.    wt: 4:   A Quadratics Summary
  234.    wt: 4:   9 quadratics physical and further context
  235.    wt: 4:   1 quadratics graphing exercises
  236.    wt: 4:   2 Square Root Simplification a prequel
  237.    wt: 4:   1 Calculator Starter Exercises
  238.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  239.    wt: 4:   4 Polynomials Long division linear divisor
  240.    wt: 4:   11 arctan left inverse of tangent Graph
  241.    wt: 4:   9 motivation for name arcsin
  242.    wt: 4:   5 Swapping Coordinates is a reflection
  243.    wt: 4:   8 Radian Measures of Common Angles
  244.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  245.    wt: 4:   12 From Applied To Pure Mathematics
  246.    wt: 4:   10 Parallelogram Addition Method
  247.    wt: 4:   5 Head To Tail Arrow Addition
  248.    wt: 4:   Parallel Lines and Interior Angles
  249.    wt: 4:   14 Straight Lines Equations General Case
  250.    wt: 4:   8 Straight Lines Equation for vertical
  251.    wt: 4:   7 Tangent Function is odd on this domain
  252.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  253.    wt: 4:   17 tangent function angle sum formulas
  254.    wt: 4:   32 seven rows of pascals triangle
  255.    wt: 4:   31 basic secant cosecant cotangent trig identities
  256.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  257.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  258.    wt: 4:   17E Trig Formulas for dot and cross Products
  259.    wt: 4:   17C sine and cosine double triple angle formulas
  260.    wt: 4:   16 Right Triangle Complementary Angle Relations
  261.    wt: 4:   14 cosine even and sine and tangent are odd
  262.    wt: 4:   12 Graph of tangent function for one period
  263.    wt: 4:   2 Quadrant I reference Angles
  264.    wt: 4:   21 Logarithms Powers and Exponentials
  265.    wt: 4:   13 Trig Formulas for dot and cross Products
  266.    wt: 4:   11 sine and cosine double triple angle formulas
  267.    wt: 4:   5 An Easy Proof of the Distributive Law
  268.    wt: 4:   1 Rectangular Polar Coordinates Review
  269.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  270.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  271.    wt: 4:   9 Similarity of Triangles Usual Criteria
  272.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  273.    wt: 4:   11 A Partial Summary
  274.    wt: 4:   4 Equations for lines three forms
  275.    wt: 4:   2 point slope equation for a line
  276.    wt: 4:   What is and is not here
  277.    wt: 4:   12 Spatial Coordinates
  278.    wt: 4:   6 Polar Multiplication and Rotation
  279.    wt: 4:   2 Cartesian Coordinates with signs
  280.    wt: 4:   1 Cartesian Coordinates sans signs
  281.    wt: 4:   PS H Distributive Law For Complex Numbers
  282.    wt: 4:   PS G Rotation Distributes over Addition
  283.    wt: 4:   PS E Multiplication with Polar Coordinates
  284.    wt: 4:   PS B Parallelogram Construction Methods
  285.    wt: 4:   21 Parallelograms
  286.    wt: 4:   6 Ruler and compass Angle Bisection
  287.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  288.    wt: 4:   2 Measuring Area Directly
  289.    wt: 4:   23 Distributive Law Two Derivations
  290.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  291.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  292.    wt: 4:   13 Arrows and Vectors in a Plane
  293.    wt: 4:   8 Division and Mulplication of Compound Fractions
  294.    wt: 4:   4 Commutative Law Groups Counting Form
  295.    wt: 4:   2 Combing Counts Addition Skills and Principles
  296.    wt: 4:   5 Areas of Rectangles Revisited
  297.    wt: 4:   4 Fraction Operations Axiomatic Development
  298.    wt: 4:   2 Fraction Operations Physical Development
  299.    wt: 4:   4 Rates Ratios and Proporitionality
  300.    wt: 4:   2 Linear Equation Literal Solution
  301.    wt: 4:   4 Subtraction and Division Axioms
  302.    wt: 4:   12 Real Number Additive Inverses or Negatives
  303.    wt: 4:   3 Geometric Formulas and Function Notation
  304.    wt: 4:   2 Computation Rules Evaluation
  305.    wt: 4:   1 Formulas Dependence and Function Notation
  306.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  307.    wt: 4:   3 GE III Equation Addition and Multiplication
  308.    wt: 4:   4 Solving a triangular system exercise
  309.    wt: 4:   2 Essentially one exercises three with solution
  310.    wt: 4:   8 Compound Interest Formula Evaluation
  311.    wt: 4:   1 Written work formats for developing and showing skill
  312.    wt: 4:   9 Sets in Probability and Statistics
  313.    wt: 4:   5 Talking about Numbers and Quantities
  314.    wt: 4:   1 Three Skills For Algebra
  315.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  316.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  317.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  318.    wt: 4:   2 Least Common Multiple LCM intro via list method
  319.    wt: 4:   12 GCD 2700 288 via Prime
  320.    wt: 4:   11 What are real lengths and numbers
  321.    wt: 4:   2 signed and unsigned numbers as coordinates
  322.    wt: 4:   17 Efficient Ways to Add and Subtract
  323.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  324.    wt: 4:   14 Adding and Subtracting with Like Denominators
  325.    wt: 4:   13 Fraction Comparison Algebraic View
  326.    wt: 4:   12 Fraction Comparison
  327.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  328.    wt: 4:   6 Multiplication Algebraically Take II
  329.    wt: 4:   1 What is a fraction
  330.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  331.    wt: 4:   26 Divisibility by 2 3 5 Example
  332.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  333.    wt: 4:   23 Remainder Arithmetic Modulo 2
  334.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  335.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  336.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  337.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  338.    wt: 4:   15 video Factors of 20 using Prime Factorization
  339.    wt: 4:   10 video Prime Factorization upto 23 squared
  340.    wt: 4:   7 Long Divison Mistake Catching
  341.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  342.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  343.    wt: 4:   8 What skills and work habits to require
  344.    wt: 4:   7 Adding decimal fractions using decimal point
  345.    wt: 4:   3. How to add with decimals A sans conversions
  346.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  347.    wt: 4:   Exact Arithmetic Wholes and Fractions
  348.    wt: 4:   Formula Evaluation how to show work
  349.    wt: 4:   The 12 Times Table Visually
  350.    wt: 4:   016 Numbering Occidental Calendar Days
  351.    wt: 4:   012 Division of Time Intervals by Time Intervals
  352.    wt: 4:   8 Addition of Time Intervals via subtotaling
  353.    wt: 4:   2 Time and Date Matters in School
  354.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  355.    wt: 4:   Area Between Curves Lesson Take 2
  356.    wt: 4:   A Related Material in Volume 3
  357.    wt: 4:   4 Definite Integrals Evaluation Exercises
  358.    wt: 4:   33 Chain Rule Real Player video examples
  359.    wt: 4:   29 Chain Rule Optional Reading
  360.    wt: 4:   7 Animated Differentiation Examples
  361.    wt: 4:   3 Motivation for Limit Definition Take 2
  362.    wt: 4:   2 Motivation for Limit Definition Take 1
  363.    wt: 4:   7 Evaluation by immediate or delayed substitution
  364.    wt: 4:   G.2 Differentiable Functions Mean Value Theorem
  365.    wt: 4:   Chapter 21 Arrow Addition
  366.    wt: 4:   Chapter 18. Slopes Areas Integration
  367.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  368.    wt: 4:   Chapter 4. More Slope Sign Analysis
  369.    wt: 4:   Chapter 3. Slope Sign Analysis
  370.    wt: 4:   Chapter 2. Slopes and Ski Trails
  371.    wt: 4:   Appendix E. How To Study Mathematics and Why
  372.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  373.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  374.    wt: 4:   Chapter 23. Notation For Sums
  375.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  376.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  377.    wt: 4:   Chapter 12. Shorthand Usage Guide
  378.    wt: 4:   Postscript What is a Variable
  379.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  380.    wt: 4:   Chapter 6 Change of Language
  381.    wt: 4:   Annotated Links to Material Elsehwere
  382.    wt: 4:   Chapter 24 Direct and Indirect Reason
  383.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  384.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  385.    wt: 4:   Chapter 11 Accidental Patterns
  386.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  387.    wt: 4:   Chapter 8 Change of Language
  388.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  389.    wt: 4:   R Why Learn Mathematics Skills
  390.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  391.    wt: 4:   O On Learning Mathematics and Science
  392.    wt: 4:   N Mathematics Prepare for College Studies
  393.    wt: 4:   I. Logic and language skills
  394.    wt: 4:   G. Written work formats for developing and showing skill
  395.    wt: 4:   Appendix A Calculus with Proofs for Keen or Gifted
  396.    wt: 4:   Chapter 7 Calculus Previews and Calculus Lightly
  397.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  398.    wt: 4:   7 Games and Activities for Instruction
  399.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  400.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  401.    wt: 4:   3 Telling Tracking Time Temporal and More Place Sense
  402.    wt: 4:   More Algebra and Slope based Calculus Preview
  403.    wt: 3:   E LAMP Introduction Modern Mathematics
  404.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  405.    wt: 3:   Skills Chapter 5 Calculus
  406.    wt: 3:   Ramblings Introduction Algebra Essay
  407.    wt: 3:   Skills Chapter 3 Algebra
  408.    wt: 3:   Skills Chapter 2 Geometry
  409.    wt: 3:   Skills Chapter 1 Arithmetic
  410.    wt: 3:   5 logarithms and exponentials etc
  411.    wt: 3:   three goals to set for students
  412.    wt: 3:   Teach the teachers plus goals
  413.    wt: 3:   permissions for teachers
  414.    wt: 3:   Math Ed if it must be short make it lean effective
  415.    wt: 3:   Mathematics Education Professors
  416.    wt: 3:   what should be learnt and When
  417.    wt: 3:   Education Reform Inconsistencies
  418.    wt: 3:   five decades make a difference
  419.    wt: 3:   Secondary Two Mathematics
  420.    wt: 3:   Secondary One Mathematics
  421.    wt: 3:   talk the algebra talk
  422.    wt: 3:   geometric implications for algebra
  423.    wt: 3:   teaching tutoring algebraic reason
  424.    wt: 3:   04 29 New Mathematics Curriculum
  425.    wt: 3:   04 25 when to stop or suspend mathemat
  426.    wt: 3:   Operational Viewpoint to Value
  427.    wt: 3:   mathematics instruction in general
  428.    wt: 3:   Four ways to improve education reform
  429.    wt: 3:   Leaner mathematics curriculum
  430.    wt: 3:   fairness and inductive principles for instruction
  431.    wt: 3:   words for mathematics instructor
  432.    wt: 3:   chapitre 12 00 les iles et division
  433.    wt: 3:   chapitre 07 01 principle D induction mathematique
  434.    wt: 3:   chapitre 04 04 Parlons de la logique
  435.    wt: 3:   Trois Notions qui menent a algebre
  436.    wt: 3:   3 Like resistors in parallel
  437.    wt: 3:   C Electromotive force conventional current02
  438.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  439.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  440.    wt: 3:   18 Primary School Mathematics
  441.    wt: 3:   14 Multiplication and Times Tables
  442.    wt: 3:   Ages 12 to 14 Arithmetic
  443.    wt: 3:   Ages 10 to 12 Arithmetic
  444.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  445.    wt: 3:   16 Increasing or decreasing on intervals
  446.    wt: 3:   15 Sign analysis of functions
  447.    wt: 3:   12 Function Domain Recognition Exercises
  448.    wt: 3:   2 Algebraic use of function notation
  449.    wt: 3:   10 quadratic exercises
  450.    wt: 3:   5 quadratics completing the square
  451.    wt: 3:   4 quadratics difference of two squares
  452.    wt: 3:   3 quadratics factoring by inspection
  453.    wt: 3:   Quadratics in 10 steps
  454.    wt: 3:   10 Exponential Growth and Decay Models
  455.    wt: 3:   3 Polynomials Multiplication Addition
  456.    wt: 3:   1 Polynomials Distributive Law
  457.    wt: 3:   16 cotangent function Definition Graph and Inverse
  458.    wt: 3:   15 cosecant function Definition Graph and Inverse
  459.    wt: 3:   14 secant function Definition Graph and Inverse
  460.    wt: 3:   13 cosecant function Definition Graph and Inverse
  461.    wt: 3:   10 arctan left inverse of tangent Definition
  462.    wt: 3:   4 possible motivation for term arccos
  463.    wt: 3:   6 Radian Measure to Degrees
  464.    wt: 3:   5 Degrees to Radian Measure
  465.    wt: 3:   1 Degrees and Radians Introduction
  466.    wt: 3:   9 Head to Tail Coordinate View
  467.    wt: 3:   3 Navigation with Arrows or Vectors
  468.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  469.    wt: 3:   Straight Lines ASA Intersection Study More
  470.    wt: 3:   Straight Lines ASA Intersection Study
  471.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  472.    wt: 3:   A Straight Line Slope Scaling Properties
  473.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  474.    wt: 3:   12 Straight Lines Graphing mx plus b
  475.    wt: 3:   27 Logarithmic use of products of sines and cosines
  476.    wt: 3:   17A The complex number valued trig function cis
  477.    wt: 3:   15 sine cosine Complementary Angle Relations
  478.    wt: 3:   13 Graph of tangent function many periods
  479.    wt: 3:   11 tangent function undefined when terminal side vertical
  480.    wt: 3:   10 Graphs of sines and cosines many periods
  481.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  482.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  483.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  484.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  485.    wt: 3:   7 Second Way to Calculate Products
  486.    wt: 3:   2 Complex Numbers made easier we hope
  487.    wt: 3:   Appetizer A Complex Number Applet
  488.    wt: 3:   8 Triangles Cascade Problem Solving
  489.    wt: 3:   12 Triangles Similarity More Problems
  490.    wt: 3:   11 Triangle Similarity Missing Side Problem
  491.    wt: 3:   8 Similarity of Triangles and Polygons
  492.    wt: 3:   6 Geometric Diagrams in Class
  493.    wt: 3:   1 Early Concept of Like or Similar Shapes
  494.    wt: 3:   10 Midpoint of [a b] and [b a]
  495.    wt: 3:   7 Exercises to test skill and concept mastery
  496.    wt: 3:   1 Numerical view of lines and their equations
  497.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  498.    wt: 3:   8 Distance Between Points on a Line
  499.    wt: 3:   4 Polar Coordinates to and from
  500.    wt: 3:   3 Rectangular Coordinates Review
  501.    wt: 3:   18 Triangle Similarity Take 1
  502.    wt: 3:   16 Angles Subtended By Chords and Diameters
  503.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  504.    wt: 3:   14 Parallel Lines Postulate
  505.    wt: 3:   13 Angle Side Angle Failure
  506.    wt: 3:   12 Side Angle Side Failure
  507.    wt: 3:   6 Figuring with Maps Not to Scale
  508.    wt: 3:   22 Multiplication of Signed Numbers
  509.    wt: 3:   21 Addition of Multiples of a Single Vector
  510.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  511.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  512.    wt: 3:   12 Real Numbers Line Signed Coordinates
  513.    wt: 3:   11 Signed Number Addition and Addition Properties
  514.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  515.    wt: 3:   9 Division with Digits after Decimal Point
  516.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  517.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  518.    wt: 3:   4 Location of Point in Decimal Addition
  519.    wt: 3:   3 Location of Point in Decimal Multiplication
  520.    wt: 3:   2 Counting Digits in Decimal Multiplication
  521.    wt: 3:   1 Fractions with Finite Decimal Expansions
  522.    wt: 3:   C Three Decimal Subtraction Methods
  523.    wt: 3:   A Decimal Addition Columm Methods
  524.    wt: 3:   7 Decimals Multiplication Methods Examples
  525.    wt: 3:   6 Column Methods for Decimal Multiplication
  526.    wt: 3:   5 Distributive Law for Whole Numbers
  527.    wt: 3:   3 Inequalities Algebraically
  528.    wt: 3:   5 Proportionality in Equivalent Fractions
  529.    wt: 3:   1 What is Proportionality
  530.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  531.    wt: 3:   3 Linear Equation Literal Solution More
  532.    wt: 3:   1 Changing Calculations
  533.    wt: 3:   6 Equations and Systems Equivalent or Implied
  534.    wt: 3:   5 Greater More Less Than Signs in General
  535.    wt: 3:   4 Comparison of Negative Numbers
  536.    wt: 3:   1 Real Numbers Comparison
  537.    wt: 3:   16 Real Numbers Comparison
  538.    wt: 3:   9 Coordinates for Regions in Space
  539.    wt: 3:   7 Real Numbers as Line Cordinates
  540.    wt: 3:   1 Whole and Natural Numbers
  541.    wt: 3:   4 GE III Animated Examples
  542.    wt: 3:   2 GE II Comparison
  543.    wt: 3:   3 Solving triangular system example
  544.    wt: 3:   4 Four Examples Fractional Coefficients
  545.    wt: 3:   2 Three Examples
  546.    wt: 3:   2 Three Examples
  547.    wt: 3:   Using Letters for Physical Quantities
  548.    wt: 3:   13 Naming Identifying Formulas with Words
  549.    wt: 3:   5 Box Volume Formula Example
  550.    wt: 3:   2 Venn Diagrams
  551.    wt: 3:   4 A Brief Story of numbers and algebra
  552.    wt: 3:   4 Greater More Less Than Signs in General
  553.    wt: 3:   3 Comparison of Negative Numbers
  554.    wt: 3:   2 More and Less Than with Unlike Signs
  555.    wt: 3:   1 Squares and Square Roots Introduction
  556.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  557.    wt: 3:   7 GCD and LCM from prime factorization
  558.    wt: 3:   2 Counting with Tables and Trees I
  559.    wt: 3:   7 negative and additive inverse
  560.    wt: 3:   4 signed coordinates for regions in space
  561.    wt: 3:   2 Equality and Units
  562.    wt: 3:   1 Addition and Subtraction with Units
  563.    wt: 3:   B Fractions and Two Term Ratios
  564.    wt: 3:   22 Complex Compound Fractions
  565.    wt: 3:   11 Simplification an Algebraic View
  566.    wt: 3:   3 Unit fraction of a fraction
  567.    wt: 3:   2 Unit Fraction Multiplication
  568.    wt: 3:   12 Adding Integers More Examples
  569.    wt: 3:   10 Integer Multiplication Formulas
  570.    wt: 3:   6 Multiplication by Natural Numbers
  571.    wt: 3:   21 Remainder Arithmetic Modulo 3
  572.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  573.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  574.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  575.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  576.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  577.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  578.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  579.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  580.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  581.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  582.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  583.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  584.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  585.    wt: 3:   20 Uniqueness of Prime Factorization
  586.    wt: 3:   18 video Count Factors given Prime Factorization
  587.    wt: 3:   14 video Factors of 24 Take II
  588.    wt: 3:   9 video Prime Factorization upto 19 squared
  589.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  590.    wt: 3:   2 Prime and Composites less than 16
  591.    wt: 3:   1 video how Products are bigger than factor
  592.    wt: 3:   Long Division Backwards more
  593.    wt: 3:   Long Division Backward
  594.    wt: 3:   12 Why Long Division Works Take III
  595.    wt: 3:   11 Another Single Digit Divisor Example
  596.    wt: 3:   10 Division by Five Long and Short Ways
  597.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  598.    wt: 3:   3 Division Single Digit Divisor Example
  599.    wt: 3:   2 Division with Single Digit Divisors
  600.    wt: 3:   5 Decimal Fraction Multiplication
  601.    wt: 3:   Video Power Notation in Decimal Expansion
  602.    wt: 3:   9 22 Minute Subtraction Review Video
  603.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  604.    wt: 3:   5 A Tip for Efficent Subtraction
  605.    wt: 3:   6. Counting and adding units and mixed units
  606.    wt: 3:   5. How to add decimals C. Examples
  607.    wt: 3:   2 Decimal Counting Practices
  608.    wt: 3:   1. Explaining Addition Table
  609.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  610.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  611.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  612.    wt: 3:   Quick history of numbers and algebra
  613.    wt: 3:   015 School and work day counting tables
  614.    wt: 3:   014 Counting Days with Calendars
  615.    wt: 3:   010 Repeated Addition of Time Intervals
  616.    wt: 3:   Example 2 volume of a cone
  617.    wt: 3:   Example 1 volume of a pyramid
  618.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  619.    wt: 3:   Area Between Curves Lesson Take 1
  620.    wt: 3:   5 Area Under Curve Exercise
  621.    wt: 3:   2 Indefinite Integrals Exercises
  622.    wt: 3:   4 Second derivative test exercise example
  623.    wt: 3:   36 Cube root derivative animated
  624.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  625.    wt: 3:   26 Chain Rule Recognising outer inner functions
  626.    wt: 3:   23 Chain Rule in general
  627.    wt: 3:   21 Chain Rule for powers
  628.    wt: 3:   20 Chain Rule for Pulley Systems
  629.    wt: 3:   19 Chain Rule for linear functions
  630.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  631.    wt: 3:   14 sine and cosine derivatives 2nd step
  632.    wt: 3:   11 Limits at infinity Three Examples
  633.    wt: 3:   8 Four Animated Examples
  634.    wt: 3:   5 Jumps and absence of unlimited error control
  635.    wt: 3:   2 Algebraic codification
  636.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  637.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  638.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  639.    wt: 3:   Chapter 22 Complex Numbers
  640.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  641.    wt: 3:   Chapter 16. Velocity Approximation
  642.    wt: 3:   Chapter 15. Slope Approximation
  643.    wt: 3:   Chapter 13. Acceleration
  644.    wt: 3:   Chapter 12. Units and Slopes
  645.    wt: 3:   Chapter 9 About First Courses in Calculus
  646.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  647.    wt: 3:   Fall 1983 Calculus Appetizer
  648.    wt: 3:   Postscript For Better Performance
  649.    wt: 3:   Appendix D. What to do in School and Why
  650.    wt: 3:   Chapter 31 Direct and Indirect Reason
  651.    wt: 3:   Chapter 28 Occurrence Tables
  652.    wt: 3:   Chapter 21. Third Reading Guide
  653.    wt: 3:   Chapter 18. Rules for Algebra
  654.    wt: 3:   Chapter 15. Solving Linear Equations
  655.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  656.    wt: 3:   Solutions For Arithmetic Exercises
  657.    wt: 3:   Chapter 4 Longer Chains of Reason
  658.    wt: 3:   Chapter 3 Chains of Reason
  659.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  660.    wt: 3:   Postscript B Mathematics Education References
  661.    wt: 3:   Postscript A Three Remarks
  662.    wt: 3:   Chapter 12 Four Phases
  663.    wt: 3:   Chapter 23 Truth Tables
  664.    wt: 3:   Chapter 21 Occurrence Tables
  665.    wt: 3:   Chapter 7 Longer Chains of Reason
  666.    wt: 3:   Chapter 6 Chains of Reason
  667.    wt: 3:   L Skills with take home value
  668.    wt: 3:   N Improving Marks on Tests and Finals
  669.    wt: 3:   D. Check work a must with a caution
  670.    wt: 3:   Chapter 6 More Algebra and Geometry
  671.    wt: 3:   Chapter 3 Algebra Starter Lessons
  672.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  673.    wt: 3:   Helping the Blind in Logic and Mathematics
  674.    wt: 3:   Mathematics Education References
  675.    wt: 3:   Mathematics Education References
  676.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  677.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  678.    wt: 3:   Systematic Algebra Skill Development Missing Links
  679.    wt: 3:   The Math Forum and Site Content
  680.    wt: 2:   K LAMP Musings Science Education
  681.    wt: 2:   I LAMP Introduction Study Habits
  682.    wt: 2:   H LAMP Introduction Instructional Concepts
  683.    wt: 2:   G LAMP Introduction Problem Solving Skills
  684.    wt: 2:   F LAMP Introduction Prerequisites
  685.    wt: 2:   Skills Chapter 4 Logic
  686.    wt: 2:   Skills Chapter 0 Introduction
  687.    wt: 2:   11 pure mathematics
  688.    wt: 2:   10 statistics
  689.    wt: 2:   9 combinatorics probability sets
  690.    wt: 2:   8 analytic geometry etc
  691.    wt: 2:   3 Euclidean Geometry Leanly
  692.    wt: 2:   2 arithmetic with signed numbers
  693.    wt: 2:   What is POMME
  694.    wt: 2:   activities for students
  695.    wt: 2:   About site lesson plans
  696.    wt: 2:   teacher certification
  697.    wt: 2:   learning takes time
  698.    wt: 2:   grouping students according to ability
  699.    wt: 2:   mathematics in context
  700.    wt: 2:   how letters appear
  701.    wt: 2:   teaching tips
  702.    wt: 2:   mathematics curriculum shifts
  703.    wt: 2:   05 13 OldSiteEntrancePage
  704.    wt: 2:   Different Kinds of Reasoning in maths
  705.    wt: 2:   Motivation and Context Problem
  706.    wt: 2:   chapitre 04 09 Regles accidentelles
  707.    wt: 2:   chapitre 04 08 Limitations et benefices
  708.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  709.    wt: 2:   chapitre 04 06 engagements
  710.    wt: 2:   chapitre 04 05 Implication versus suggestion
  711.    wt: 2:   chapitre 04 02 Deuxieme enigme
  712.    wt: 2:   chapitre 04 00 Les regles d implication
  713.    wt: 2:   problemes algebre et arithmetique
  714.    wt: 2:   2 Energy Power Heat07
  715.    wt: 2:   B Electromotive force conventional current01
  716.    wt: 2:   15 Counting For Parents
  717.    wt: 2:   11 Help and Defend Your Child or Teens Education
  718.    wt: 2:   10 Ends values for work study instruction
  719.    wt: 2:   9 Streaming by Student Cooperation
  720.    wt: 2:   8 The Effect of Negative Remarks
  721.    wt: 2:   3 Preparing for Science Studies
  722.    wt: 2:   1 Speaking Skills
  723.    wt: 2:   Ages 12 to 14 Geometry
  724.    wt: 2:   Ages 10 to 12 Geometry
  725.    wt: 2:   26 Function definitions done and coming
  726.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  727.    wt: 2:   19 Horizontal line rule and method
  728.    wt: 2:   18 Vertical Line Rule and Method
  729.    wt: 2:   10 Interval Notation
  730.    wt: 2:   8 Set view of relations and functions
  731.    wt: 2:   11 Growth and Decay in Biology
  732.    wt: 2:   2 Column Multiplication Method
  733.    wt: 2:   Rewriting algebraic substitution as function substitutions
  734.    wt: 2:   8 arcsin left inverse of sine Graph
  735.    wt: 2:   6 Graph of arccos function
  736.    wt: 2:   8 Parallel Vectors
  737.    wt: 2:   4 Resultant of a Sum of Movements
  738.    wt: 2:   2 Signed Coordinates
  739.    wt: 2:   Vector and Complex Number Applet
  740.    wt: 2:   4 graphing y=Asin(x c)
  741.    wt: 2:   1 graphing y=f(x a)
  742.    wt: 2:   Triangle Angles Sum To 180 Degrees
  743.    wt: 2:   Straight Lines Instersection Solving Equations
  744.    wt: 2:   C Straight Lines Slope from Coordinates
  745.    wt: 2:   B Straight Line Slope Scaling Properties More
  746.    wt: 2:   11 Straight Lines Graphing y=mx
  747.    wt: 2:   10 Straight Lines through Origin Equations More
  748.    wt: 2:   9 Straight Lines through Origin Equations
  749.    wt: 2:   5 Tangent Function Graph
  750.    wt: 2:   30 unit circle calculation of six trigonometric functions
  751.    wt: 2:   28 Expressing products of sines cosines as sums
  752.    wt: 2:   17G Pythagorean Theorem Converse
  753.    wt: 2:   9 Graphs of sine and cosine over one period
  754.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  755.    wt: 2:   16 References and Originality Question
  756.    wt: 2:   15 Pythagorean Theorem Converse
  757.    wt: 2:   9 The complex number valued trig function cis
  758.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  759.    wt: 2:   3 Trigonometric Ratios sine and cosine
  760.    wt: 2:   1 Angle Measurement with Degrees
  761.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  762.    wt: 2:   4 Similarity Definition with Coordinate
  763.    wt: 2:   3 Similarity by Design with coordinates
  764.    wt: 2:   2 Similarity By Design
  765.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  766.    wt: 2:   8 Mid Point Formula
  767.    wt: 2:   3 Slope product for perpendicular lines
  768.    wt: 2:   11 Triangle Inequality
  769.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  770.    wt: 2:   PS A Kite Construction Methods
  771.    wt: 2:   19 Right Triangle Similarity
  772.    wt: 2:   17 Right Bisectors of Triangle Sides
  773.    wt: 2:   11 Triangle Construction Fails
  774.    wt: 2:   10 Dropping a perpendicular to line
  775.    wt: 2:   9 Construction of a right bisector
  776.    wt: 2:   8 Isoceles Triangles
  777.    wt: 2:   7 Angle Side Angle
  778.    wt: 2:   3 Isometry of Triangles Congruence
  779.    wt: 2:   2 Correspondence between Triangles
  780.    wt: 2:   1 Initial Concepts and Terms
  781.    wt: 2:   A Measurement with Ruler Proper Use
  782.    wt: 2:   musings do not puiblish real numbers
  783.    wt: 2:   A Signed Number Arithmetic Review
  784.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  785.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  786.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  787.    wt: 2:   8 Column Multiplication Methods in General
  788.    wt: 2:   3 Multiplicative Counting Skills Principles
  789.    wt: 2:   3 Proportionality Examples
  790.    wt: 2:   2 Algebraic View
  791.    wt: 2:   5 Equality in Algebra
  792.    wt: 2:   3 Product Axioms Two Forms
  793.    wt: 2:   1 Equivalent Computation Rules
  794.    wt: 2:   3 More and Less Than with Unlike Signs
  795.    wt: 2:   15 Real Number Division
  796.    wt: 2:   14 Real Number Multiplication
  797.    wt: 2:   13 Real Number Subtraction
  798.    wt: 2:   11 Real Number Addition
  799.    wt: 2:   10 Real Number Lengths and Signs
  800.    wt: 2:   5 Rational Numbers More
  801.    wt: 2:   4 Rational Numbers
  802.    wt: 2:   6 Algebraic Solution Example
  803.    wt: 2:   1 Proper Equal Sign Usage
  804.    wt: 2:   9 Three Examples
  805.    wt: 2:   6 Three Examples
  806.    wt: 2:   5 Three Examples
  807.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  808.    wt: 2:   7 Compound Interest Formula Introduction
  809.    wt: 2:   7 Cautious or Safe Set Construction
  810.    wt: 2:   3 Adding Words To Arithmetic
  811.    wt: 2:   3 Properties of Square Roots with example
  812.    wt: 2:   2 Square Roots with Prime
  813.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  814.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  815.    wt: 2:   13 GCD from given Prime Factorization
  816.    wt: 2:   8 GCD from Euclidean Algorithm
  817.    wt: 2:   5 Common Divisors 60 45 via Prime
  818.    wt: 2:   4 LCM of 8 and 10 via Prime
  819.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  820.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  821.    wt: 2:   3 Counting with Tables and Trees II
  822.    wt: 2:   6 Simplification of Fractions with Units
  823.    wt: 2:   D Three Term Ratios
  824.    wt: 2:   20 Dividing Fractions the Why
  825.    wt: 2:   9 Improper Fractions and Mixed Numbers
  826.    wt: 2:   5 Equivalent Fractions
  827.    wt: 2:   4 Fraction Multiplication
  828.    wt: 2:   D Remainders Modulo 11 Pair Rule
  829.    wt: 2:   13 Subtraction with Additive Inverse
  830.    wt: 2:   5 Zero Movement and Additive Inverses
  831.    wt: 2:   3 Adding Movements with same direction
  832.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  833.    wt: 2:   1 Integers as Coordinates
  834.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  835.    wt: 2:   5 Remainder Arithmetic Modulo 5
  836.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  837.    wt: 2:   1 Remainder Arithmetic Modulo 10
  838.    wt: 2:   19 video Prime Factorization Unique
  839.    wt: 2:   17 Identify and Count Factors using Primes
  840.    wt: 2:   13 video Factors of 24 using prime
  841.    wt: 2:   12 LCD GCD and LCM using Primes
  842.    wt: 2:   8 video Prime Factorization upto 19
  843.    wt: 2:   4 video Prime Factorization Introduction
  844.    wt: 2:   3 video Primes and Composites from 9 times table
  845.    wt: 2:   Division with Counts and Length
  846.    wt: 2:   9 Why Long Division Works Take II
  847.    wt: 2:   8 Correcting the Mistake
  848.    wt: 2:   4 Division with 2 Digit Divsors
  849.    wt: 2:   1 Divsion Physical Examples
  850.    wt: 2:   D Decimal Multiplication Methods Derived
  851.    wt: 2:   C Counting Areas with Powers of Ten
  852.    wt: 2:   6 Multiplication Commutes Order Not Important
  853.    wt: 2:   4 Two and Three Digit Multipliers
  854.    wt: 2:   Subtraction with J Conversions Example
  855.    wt: 2:   Subtraction Another Video Lesson
  856.    wt: 2:   8 Subtraction with Units of Measure
  857.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  858.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  859.    wt: 2:   4. How to add with decimals B with conversions
  860.    wt: 2:   Expression Evaluation how to show work
  861.    wt: 2:   The 20 Times Table
  862.    wt: 2:   013 Travel Time Tables
  863.    wt: 2:   011 Division of Time Intervals By Numbers
  864.    wt: 2:   7 Addition of Time Intervals
  865.    wt: 2:   6 How long is a million seconds
  866.    wt: 2:   4 Mixing and Changing Units of Time
  867.    wt: 2:   1 Intro of Kids To Time Date Skills
  868.    wt: 2:   Example 2
  869.    wt: 2:   3 Two Chain Rule Method Exercises
  870.    wt: 2:   1 Chain Rule in Reverse Integration Method
  871.    wt: 2:   A Related lessons in Volume 3
  872.    wt: 2:   2 Second derivative test prequel
  873.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  874.    wt: 2:   34 Derivative of exponential function
  875.    wt: 2:   30Chain Rule A Proof
  876.    wt: 2:   17 Derivatives of quotients of sine and cosine
  877.    wt: 2:   15 sine and cosine derivatives 3rd step
  878.    wt: 2:   13 sine and cosine derivatives 1st step
  879.    wt: 2:   12 Quotient rule examples
  880.    wt: 2:   10 Power rule for negative integers
  881.    wt: 2:   8 Differentiation of polynomials
  882.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  883.    wt: 2:   10 Three one sided limits with infinite values
  884.    wt: 2:   6 Continuity at a point
  885.    wt: 2:   3 Decimal insights for limits continuity convergence
  886.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  887.    wt: 2:   F.3 Intermediate Value Theorem
  888.    wt: 2:   F.2 Closed Range Theorem
  889.    wt: 2:   F.1 What Functions are Continuous
  890.    wt: 2:   E2 Algebraic Properties of Limits
  891.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  892.    wt: 2:   C Triangle Inequalities
  893.    wt: 2:   B3 Bolzano Weierstrass Theorem
  894.    wt: 2:   Chapter 23 Links To Trigonometry
  895.    wt: 2:   Chapter 11. Graphing Slope versus Position
  896.    wt: 2:   Chapter 10 Slopes and Units
  897.    wt: 2:   Chapter 8. Slope Interpretation
  898.    wt: 2:   Chapter 7 Slopes and Velocity
  899.    wt: 2:   Postscript More on Better Performance
  900.    wt: 2:   Appendix C. How to Read
  901.    wt: 2:   Appendix B. How To Learn
  902.    wt: 2:   Chapter 30 Truth Tables
  903.    wt: 2:   Chapter 19. Functions and Sets
  904.    wt: 2:   Chapter 16. Painless Theorem Proving
  905.    wt: 2:   Chapter 13. Second Reading Guide
  906.    wt: 2:   Chapter 11. Why Shorthand
  907.    wt: 2:   Chapter 11 Elementary Instruction
  908.    wt: 2:   Chapter 10 Transition
  909.    wt: 2:   Chapter 7 Two Treatments of Geometry
  910.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  911.    wt: 2:   Chapter 3 Algebra Difficulties
  912.    wt: 2:   Postscript B More on Story Telling and Reason
  913.    wt: 2:   Chapter 18 Sense and Knowledge
  914.    wt: 2:   Chapter 2 Skill Development
  915.    wt: 2:   Three Remarks
  916.    wt: 2:   S Adding words to algebra
  917.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  918.    wt: 2:   H Jigsaw puzzles and problem solving
  919.    wt: 2:   F. The student teacher tutor feedback loop
  920.    wt: 2:   A. Skill has to be seen to believed
  921.    wt: 2:   How to Build Skills and Confidence
  922.    wt: 2:   Chapter 8 Skipped Topics and Why
  923.    wt: 2:   Chapter 2 Why Sets
  924.    wt: 2:   Chapter 1 Arithmetic
  925.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  926.    wt: 2:   Road Safety Questions
  927.    wt: 1:   J LAMP Introduction Extrinsic Origins
  928.    wt: 1:   A Introduction Objectives
  929.    wt: 1:   Ramblings Extrinsic numbers theory
  930.    wt: 1:   6 polynomials etc
  931.    wt: 1:   4 algebra
  932.    wt: 1:   1 arithmetic with unsigned numbers
  933.    wt: 1:   which way to go
  934.    wt: 1:   links Education Resources online
  935.    wt: 1:   site eurekas
  936.    wt: 1:   key notes and themes
  937.    wt: 1:   modern education
  938.    wt: 1:   Postscript 2007 01 10
  939.    wt: 1:   three difficulties
  940.    wt: 1:   What to Tell Students
  941.    wt: 1:   Lessening Algebra Difficulties
  942.    wt: 1:   the trouble with algebra
  943.    wt: 1:   cultivating intelligence
  944.    wt: 1:   How to be a better instructor
  945.    wt: 1:   chapitre 05 00 Deception
  946.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  947.    wt: 1:   chapitre 04 01 Premiere enigme
  948.    wt: 1:   chapitre 01 00 Introduction
  949.    wt: 1:   deux definitions pour variable
  950.    wt: 1:   4 Energy Power Heat09
  951.    wt: 1:   3 Energy Power Heat08
  952.    wt: 1:   1 Energy Power Heat06
  953.    wt: 1:   B Energy Power02
  954.    wt: 1:   A Energy Power01
  955.    wt: 1:   1 Like resistors in series
  956.    wt: 1:   H Series Circuit02
  957.    wt: 1:   F Unlike Resistors in Series
  958.    wt: 1:   E Kirchoffs Second Law
  959.    wt: 1:   D Kirchoff First Law
  960.    wt: 1:   A Circuit Elements
  961.    wt: 1:   Home Tutoring and Home Schooling
  962.    wt: 1:   7 Student Motivation
  963.    wt: 1:   Ages 9 to 10
  964.    wt: 1:   Ages 8 to 9
  965.    wt: 1:   Ages 7 to 8
  966.    wt: 1:   Ages 6 to 7
  967.    wt: 1:   Ages 4 plus to 5 plus
  968.    wt: 1:   Ages 3 plus to 4 plus
  969.    wt: 1:   23 Inverse Functions
  970.    wt: 1:   13 From one to one to many to one
  971.    wt: 1:   9 Set theory term relation possible origins
  972.    wt: 1:   7 Functions with finite domains
  973.    wt: 1:   1 Geometric Introduction of Function Notation
  974.    wt: 1:   Introduction Reading Guide
  975.    wt: 1:   8 Notes for instructors or tutors
  976.    wt: 1:   7 arcsin left inverse of sine Definition
  977.    wt: 1:   3 Left Inverse of cosine arccos definition
  978.    wt: 1:   2 cosine function more properties
  979.    wt: 1:   15 Dot and Cross Product
  980.    wt: 1:   6 Vectors with Coordinates
  981.    wt: 1:   1 Unsigned Coordinates
  982.    wt: 1:   3 graphing y=f(x c) plus K
  983.    wt: 1:   Straight Lines Intersection of
  984.    wt: 1:   4 Tangent Function Properties
  985.    wt: 1:   1 Straight Lines Slope Concept
  986.    wt: 1:   17F Law of cosines
  987.    wt: 1:   8 period of tangent function
  988.    wt: 1:   7 period of sine and cosine
  989.    wt: 1:   1 Unit Points Reflections Rotations
  990.    wt: 1:   20 N th Roots of Complex Numbers
  991.    wt: 1:   14 Law of cosines
  992.    wt: 1:   4 Multiplication Properties
  993.    wt: 1:   3 Addition Properties
  994.    wt: 1:   7 Trignometric Ratios Unit Circle
  995.    wt: 1:   Four Simple Exercises
  996.    wt: 1:   12 Links Lessons elsewhere
  997.    wt: 1:   6 Intersection of lines by solving linear systems
  998.    wt: 1:   5 Algebraic View of Slopes
  999.    wt: 1:   7 Complex Numbers Appetizer
  1000.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  1001.    wt: 1:   5 Side Angle Side
  1002.    wt: 1:   Short Course on Euclidean Geometry
  1003.    wt: 1:   1 Length Measurement
  1004.    wt: 1:   About Folder Contents
  1005.    wt: 1:   E Long Division Methods more
  1006.    wt: 1:   D Long Division Methods
  1007.    wt: 1:   6 Unsigned Real Numbers
  1008.    wt: 1:   3 Fractions
  1009.    wt: 1:   2 Integers
  1010.    wt: 1:   5 Independent versus Dependent Variables
  1011.    wt: 1:   4 Changing Letters
  1012.    wt: 1:   More Exercises
  1013.    wt: 1:   Simple Exercises
  1014.    wt: 1:   1 GE Substitution four examples
  1015.    wt: 1:   1 Essentially One Unknown
  1016.    wt: 1:   5 Algebraic Solutions Introduction
  1017.    wt: 1:   3 Four Examples
  1018.    wt: 1:   10 One Example
  1019.    wt: 1:   8 One Example
  1020.    wt: 1:   7 Two Examples
  1021.    wt: 1:   4 Two Examples
  1022.    wt: 1:   3 Two Examples
  1023.    wt: 1:   10 Volume of Pyramid
  1024.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  1025.    wt: 1:   6 Power Set Notation
  1026.    wt: 1:   5 Product Builder Notation
  1027.    wt: 1:   4 Subset Builder Notation
  1028.    wt: 1:   About Folder Contents
  1029.    wt: 1:   5 Square Roots with primes more still
  1030.    wt: 1:   4 Square Roots with primes more
  1031.    wt: 1:   1 Least Common Multiples LCM Introduction
  1032.    wt: 1:   4 Counting with Trees Product Rule Take I
  1033.    wt: 1:   1 Counting and Counting Methods I
  1034.    wt: 1:   9 subtracting signed numbers
  1035.    wt: 1:   6 adding signed numbers
  1036.    wt: 1:   5 lengths and signs of numbers
  1037.    wt: 1:   7 Converting or Changing Units
  1038.    wt: 1:   4 Fractions with Units
  1039.    wt: 1:   3 Multiplying Units and Numbers
  1040.    wt: 1:   21 Working With Signs
  1041.    wt: 1:   19 Dividing Fractions How TO
  1042.    wt: 1:   18 Efficient Ways to Multiply
  1043.    wt: 1:   6 Multiplication of Mixed Numbers
  1044.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  1045.    wt: 1:   B Integer Long Division Multiple Choices
  1046.    wt: 1:   8 Multiplication by Signed Numbers Integers
  1047.    wt: 1:   7 Multiplication by Signs
  1048.    wt: 1:   4 Adding Movements wiht opposite directions
  1049.    wt: 1:   16 video Factors of 980 using prime
  1050.    wt: 1:   11 Efficient Square Rule Use
  1051.    wt: 1:   5 Long Division Include Zeroes or not
  1052.    wt: 1:   2 One Digit Multipliers
  1053.    wt: 1:   About folder contents
  1054.    wt: 1:   5 Conversion Arithmetic
  1055.    wt: 1:   3 Units and Lengths of Time
  1056.    wt: 1:   Example 4 with x function of y
  1057.    wt: 1:   Example 3
  1058.    wt: 1:   Example 1
  1059.    wt: 1:   Summary
  1060.    wt: 1:   3 Second derivative test
  1061.    wt: 1:   31 Derivatives of inverse functions
  1062.    wt: 1:   18 Chain Rule Introduction
  1063.    wt: 1:   9 Reciprocal rule
  1064.    wt: 1:   9 Limits Continuity and Composition
  1065.    wt: 1:   4 Numerical properties
  1066.    wt: 1:   1 Numerical introduction
  1067.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1068.    wt: 1:   G.3 Constant Difference Theorem Proof
  1069.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1070.    wt: 1:   F.5b Extreme Value Theorem
  1071.    wt: 1:   F.5a Equicontinuity Theorems
  1072.    wt: 1:   E1 Error Control Inequalities
  1073.    wt: 1:   D2 Limits of Monotone Sequences
  1074.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1075.    wt: 1:   A1. Introduction
  1076.    wt: 1:   Chapter 5. Slope Sign Tests
  1077.    wt: 1:   Chapter 1.Introduction
  1078.    wt: 1:   Foreword
  1079.    wt: 1:   Foreword
  1080.    wt: 1:   Chapter 9 The Two Ends
  1081.    wt: 1:   Chapter 8 Modern Instruction
  1082.    wt: 1:   Chapter 5 Four References
  1083.    wt: 1:   Chapter 1 Introduction
  1084.    wt: 1:   Foreword
  1085.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1086.    wt: 1:   Postscript A Story Telling
  1087.    wt: 1:   Chapter 15 Objective Processes
  1088.    wt: 1:   Chapter 10 Responsibility
  1089.    wt: 1:   Chapter 5 Deception
  1090.    wt: 1:   Chapter 1 Introduction
  1091.    wt: 1:   Foreword
  1092.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1093.    wt: 1:   M Words to extend arithmetic
  1094.    wt: 1:   J. More on written work and showing skill
  1095.    wt: 1:   E. When and how to correct errors
  1096.    wt: 1:   C. Domino effect of being careful
  1097.    wt: 1:   Implementation Notes
  1098.    wt: 1:   Which Way To Go

Extended Search

1145 matches:

  1.    wt: 9:   K LAMP Musings Science Education
  2.    wt: 9:   I LAMP Introduction Study Habits
  3.    wt: 9:   H LAMP Introduction Instructional Concepts
  4.    wt: 9:   G LAMP Introduction Problem Solving Skills
  5.    wt: 9:   F LAMP Introduction Prerequisites
  6.    wt: 9:   Skills Chapter 4 Logic
  7.    wt: 9:   Skills Chapter 0 Introduction
  8.    wt: 9:   11 pure mathematics
  9.    wt: 9:   10 statistics
  10.    wt: 9:   9 combinatorics probability sets
  11.    wt: 9:   8 analytic geometry etc
  12.    wt: 9:   3 Euclidean Geometry Leanly
  13.    wt: 9:   What is POMME
  14.    wt: 9:   Secondary Two Mathematics
  15.    wt: 9:   Secondary One Mathematics
  16.    wt: 9:   talk the algebra talk
  17.    wt: 9:   geometric implications for algebra
  18.    wt: 9:   teaching tutoring algebraic reason
  19.    wt: 9:   04 29 New Mathematics Curriculum
  20.    wt: 9:   04 25 when to stop or suspend mathemat
  21.    wt: 9:   formal or informal peer review
  22.    wt: 9:   Education in mathematics science and technology
  23.    wt: 9:   need for a mixed mathematics curriculum
  24.    wt: 9:   fairness and inductive principles for instruction
  25.    wt: 9:   chapitre 07 00 Des chaines plus longues de la raison
  26.    wt: 9:   chapitre 06 00 Chaines de la raison
  27.    wt: 9:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  28.    wt: 9:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  29.    wt: 9:   Ages 12 to 14 Arithmetic
  30.    wt: 9:   7 quadratic formulla derivation
  31.    wt: 9:   6 quadratics numerical approach
  32.    wt: 9:   2 quadratics graphing in general
  33.    wt: 9:   11 Growth and Decay in Biology
  34.    wt: 9:   16 cotangent function Definition Graph and Inverse
  35.    wt: 9:   15 cosecant function Definition Graph and Inverse
  36.    wt: 9:   11 arctan left inverse of tangent Graph
  37.    wt: 9:   14 Why Scalar Multiplication Distributes Physical Argument
  38.    wt: 9:   7 Coordinate Addition and Scalar Multiplication
  39.    wt: 9:   Straight Lines Instersection Solving Equations
  40.    wt: 9:   10 Straight Lines through Origin Equations More
  41.    wt: 9:   9 Straight Lines through Origin Equations
  42.    wt: 9:   4 Tangent Function Properties
  43.    wt: 9:   35 sines and cosines of 2A 3A 4A 5A
  44.    wt: 9:   34 sines and cosines of 2A 3A 4A 5A
  45.    wt: 9:   26 Formulas for products of sines and cosines
  46.    wt: 9:   25 tangent double angle formula Slope connection
  47.    wt: 9:   24 tangent Angle Difference Formula
  48.    wt: 9:   23 sine and cosine of 180 plus 22.5 degrees
  49.    wt: 9:   17D cis formulas for sine cosines and tangent
  50.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  51.    wt: 9:   11 Triangle Similarity Missing Side Problem
  52.    wt: 9:   8 Similarity of Triangles and Polygons
  53.    wt: 9:   6 Geometric Diagrams in Class
  54.    wt: 9:   4 Similarity Definition with Coordinate
  55.    wt: 9:   2 Similarity By Design
  56.    wt: 9:   1 Early Concept of Like or Similar Shapes
  57.    wt: 9:   11 A Partial Summary
  58.    wt: 9:   4 Equations for lines three forms
  59.    wt: 9:   What is and is not here
  60.    wt: 9:   7 Complex Numbers Appetizer
  61.    wt: 9:   19 Right Triangle Similarity
  62.    wt: 9:   17 Right Bisectors of Triangle Sides
  63.    wt: 9:   11 Triangle Construction Fails
  64.    wt: 9:   10 Dropping a perpendicular to line
  65.    wt: 9:   9 Construction of a right bisector
  66.    wt: 9:   8 Isoceles Triangles
  67.    wt: 9:   7 Angle Side Angle
  68.    wt: 9:   3 Isometry of Triangles Congruence
  69.    wt: 9:   1 Initial Concepts and Terms
  70.    wt: 9:   A Measurement with Ruler Proper Use
  71.    wt: 9:   A Modular and Remainder Arithmetic
  72.    wt: 9:   26 More Less Greater Than Comparison
  73.    wt: 9:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  74.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  75.    wt: 9:   13 Arrows and Vectors in a Plane
  76.    wt: 9:   4 Commutative Law Groups Counting Form
  77.    wt: 9:   3 Inequalities Algebraically
  78.    wt: 9:   2 Linear Equation Literal Solution
  79.    wt: 9:   5 Equality in Algebra
  80.    wt: 9:   3 Product Axioms Two Forms
  81.    wt: 9:   1 Equivalent Computation Rules
  82.    wt: 9:   12 Real Number Additive Inverses or Negatives
  83.    wt: 9:   1 GE Substitution four examples
  84.    wt: 9:   Skill Development Notes
  85.    wt: 9:   3 Properties of Square Roots with example
  86.    wt: 9:   2 Square Roots with Prime
  87.    wt: 9:   9 GCD of 360 110 via Primes and Euclid Algorithm
  88.    wt: 9:   8 GCD from Euclidean Algorithm
  89.    wt: 9:   7 GCD and LCM from prime factorization
  90.    wt: 9:   5 Counting with Tables Trees Product Rule Take II
  91.    wt: 9:   3 Counting with Tables and Trees II
  92.    wt: 9:   2 signed and unsigned numbers as coordinates
  93.    wt: 9:   2 Equality and Units
  94.    wt: 9:   1 Addition and Subtraction with Units
  95.    wt: 9:   B Fractions and Two Term Ratios
  96.    wt: 9:   20 Dividing Fractions the Why
  97.    wt: 9:   11 Simplification an Algebraic View
  98.    wt: 9:   3 Unit fraction of a fraction
  99.    wt: 9:   19 video Prime Factorization Unique
  100.    wt: 9:   13 video Factors of 24 using prime
  101.    wt: 9:   12 LCD GCD and LCM using Primes
  102.    wt: 9:   8 video Prime Factorization upto 19
  103.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  104.    wt: 9:   4 video Prime Factorization Introduction
  105.    wt: 9:   3 video Primes and Composites from 9 times table
  106.    wt: 9:   B Powers of Ten
  107.    wt: 9:   3 More One Digit Multipliers
  108.    wt: 9:   1 Why 3 times 5 gives 15
  109.    wt: 9:   8 Review Lesson 1 2 4 and 6 All in One
  110.    wt: 9:   3 More on Groups of 3 Multi Digit Place Value
  111.    wt: 9:   1 Place Value in Three Digit Whole Numbers
  112.    wt: 9:   Practical Methods Ends and Values for Arithmetic
  113.    wt: 9:   016 Numbering Occidental Calendar Days
  114.    wt: 9:   012 Division of Time Intervals by Time Intervals
  115.    wt: 9:   8 Addition of Time Intervals via subtotaling
  116.    wt: 9:   2 Time and Date Matters in School
  117.    wt: 9:   Volume of Solid by Cross Sections Lesson
  118.    wt: 9:   Summary
  119.    wt: 9:   36 Cube root derivative animated
  120.    wt: 9:   30Chain Rule A Proof
  121.    wt: 9:   27 Chain Rule sinusoidal outer inner functions EGS
  122.    wt: 9:   26 Chain Rule Recognising outer inner functions
  123.    wt: 9:   23 Chain Rule in general
  124.    wt: 9:   20 Chain Rule for Pulley Systems
  125.    wt: 9:   19 Chain Rule for linear functions
  126.    wt: 9:   14 sine and cosine derivatives 2nd step
  127.    wt: 9:   10 Power rule for negative integers
  128.    wt: 9:   8 Differentiation of polynomials
  129.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  130.    wt: 9:   PostScript For and Against Decimal Perspectives
  131.    wt: 9:   Postscript For Better Performance
  132.    wt: 9:   Appendix D. What to do in School and Why
  133.    wt: 9:   Appendix B. How To Learn
  134.    wt: 9:   Chapter 31 Direct and Indirect Reason
  135.    wt: 9:   Chapter 18. Rules for Algebra
  136.    wt: 9:   Chapter 15. Solving Linear Equations
  137.    wt: 9:   Postscript Unifying Theme A Fourth Skill For Algebra
  138.    wt: 9:   Solutions For Arithmetic Exercises
  139.    wt: 9:   Chapter 4 Longer Chains of Reason
  140.    wt: 9:   Chapter 3 Chains of Reason
  141.    wt: 9:   Chapter 1 Introduction to Chapters 2 to 6
  142.    wt: 9:   Postscript B More on Story Telling and Reason
  143.    wt: 9:   Chapter 7 Longer Chains of Reason
  144.    wt: 9:   Chapter 6 Chains of Reason
  145.    wt: 9:   Chapter 2 Skill Development
  146.    wt: 9:   Three Remarks
  147.    wt: 9:   1 From Number Recognition and Counting to Arithmetic B
  148.    wt: 8:   J LAMP Introduction Extrinsic Origins
  149.    wt: 8:   A Introduction Objectives
  150.    wt: 8:   Ramblings Extrinsic numbers theory
  151.    wt: 8:   6 polynomials etc
  152.    wt: 8:   4 algebra
  153.    wt: 8:   1 arithmetic with unsigned numbers
  154.    wt: 8:   three goals to set for students
  155.    wt: 8:   Teach the teachers plus goals
  156.    wt: 8:   permissions for teachers
  157.    wt: 8:   Math Ed if it must be short make it lean effective
  158.    wt: 8:   About site lesson plans
  159.    wt: 8:   Mathematics Education Professors
  160.    wt: 8:   learning takes time
  161.    wt: 8:   what should be learnt and When
  162.    wt: 8:   Education Reform Inconsistencies
  163.    wt: 8:   five decades make a difference
  164.    wt: 8:   how letters appear
  165.    wt: 8:   teaching tips
  166.    wt: 8:   mathematics curriculum shifts
  167.    wt: 8:   Lessening Algebra Difficulties
  168.    wt: 8:   the trouble with algebra
  169.    wt: 8:   05 13 OldSiteEntrancePage
  170.    wt: 8:   Operational Viewpoint to Value
  171.    wt: 8:   mathematics instruction in general
  172.    wt: 8:   Four ways to improve education reform
  173.    wt: 8:   Leaner mathematics curriculum
  174.    wt: 8:   words for mathematics instructor
  175.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  176.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  177.    wt: 8:   chapitre 02 00 La Communication des idees
  178.    wt: 8:   27 Graduated Correction and Penalties for Young Offenders
  179.    wt: 8:   25 Mathematics Education Leaving A Good Impression
  180.    wt: 8:   12 Goals and Objectives For Mathematics
  181.    wt: 8:   Ages 12 to 14 Geometry
  182.    wt: 8:   Ages 10 to 12 Arithmetic
  183.    wt: 8:   25 Absolute Value greatest integer and saw tooth functions
  184.    wt: 8:   22 Square Root function graphically
  185.    wt: 8:   A Quadratics Summary
  186.    wt: 8:   9 quadratics physical and further context
  187.    wt: 8:   1 quadratics graphing exercises
  188.    wt: 8:   6 Polynomial Operations and Equivalent Computation Rules
  189.    wt: 8:   14 secant function Definition Graph and Inverse
  190.    wt: 8:   13 cosecant function Definition Graph and Inverse
  191.    wt: 8:   10 arctan left inverse of tangent Definition
  192.    wt: 8:   9 motivation for name arcsin
  193.    wt: 8:   5 Swapping Coordinates is a reflection
  194.    wt: 8:   A Global Time and Navigation
  195.    wt: 8:   12 From Applied To Pure Mathematics
  196.    wt: 8:   Straight Lines Intersection of
  197.    wt: 8:   1 Straight Lines Slope Concept
  198.    wt: 8:   20 sine and cosine Double Angle Formulas
  199.    wt: 8:   18 sum of sinusoidal waves as a single wave
  200.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  201.    wt: 8:   21 Logarithms Powers and Exponentials
  202.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  203.    wt: 8:   8 Triangles Cascade Problem Solving
  204.    wt: 8:   3 Similarity by Design with coordinates
  205.    wt: 8:   10 Midpoint of [a b] and [b a]
  206.    wt: 8:   7 Exercises to test skill and concept mastery
  207.    wt: 8:   1 Numerical view of lines and their equations
  208.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  209.    wt: 8:   5 Side Angle Side
  210.    wt: 8:   Short Course on Euclidean Geometry
  211.    wt: 8:   1 Length Measurement
  212.    wt: 8:   23 Distributive Law Two Derivations
  213.    wt: 8:   21 Addition of Multiples of a Single Vector
  214.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  215.    wt: 8:   16 Collinear Horizontal Arrows Vectors
  216.    wt: 8:   12 Real Numbers Line Signed Coordinates
  217.    wt: 8:   11 Signed Number Addition and Addition Properties
  218.    wt: 8:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  219.    wt: 8:   8 Division and Mulplication of Compound Fractions
  220.    wt: 8:   C Three Decimal Subtraction Methods
  221.    wt: 8:   A Decimal Addition Columm Methods
  222.    wt: 8:   7 Decimals Multiplication Methods Examples
  223.    wt: 8:   6 Column Methods for Decimal Multiplication
  224.    wt: 8:   5 Distributive Law for Whole Numbers
  225.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  226.    wt: 8:   3 Linear Equation Literal Solution More
  227.    wt: 8:   1 Changing Calculations
  228.    wt: 8:   16 Real Numbers Comparison
  229.    wt: 8:   1 Essentially One Unknown
  230.    wt: 8:   Using Letters for Physical Quantities
  231.    wt: 8:   6 Three Notions of What is a Variable
  232.    wt: 8:   2 What is a Variable
  233.    wt: 8:   arithmetic videos Real Player Format
  234.    wt: 8:   5 Square Roots with primes more still
  235.    wt: 8:   4 Square Roots with primes more
  236.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  237.    wt: 8:   14 GCD of 650 110 via Primes LCM via Product Rule
  238.    wt: 8:   13 GCD from given Prime Factorization
  239.    wt: 8:   5 Common Divisors 60 45 via Prime
  240.    wt: 8:   4 LCM of 8 and 10 via Prime
  241.    wt: 8:   LCM 60 45 Avoid List Method Use Prime
  242.    wt: 8:   1 Least Common Multiples LCM Introduction
  243.    wt: 8:   4 Counting with Trees Product Rule Take I
  244.    wt: 8:   1 Counting and Counting Methods I
  245.    wt: 8:   11 What are real lengths and numbers
  246.    wt: 8:   6 Simplification of Fractions with Units
  247.    wt: 8:   D Three Term Ratios
  248.    wt: 8:   21 Working With Signs
  249.    wt: 8:   19 Dividing Fractions How TO
  250.    wt: 8:   9 Improper Fractions and Mixed Numbers
  251.    wt: 8:   5 Equivalent Fractions
  252.    wt: 8:   4 Fraction Multiplication
  253.    wt: 8:   A Associative Law Theorectical Note
  254.    wt: 8:   11 Adding Integers Formulas and Examples
  255.    wt: 8:   17 Identify and Count Factors using Primes
  256.    wt: 8:   16 video Factors of 980 using prime
  257.    wt: 8:   Formula Evaluation how to show work
  258.    wt: 8:   015 School and work day counting tables
  259.    wt: 8:   014 Counting Days with Calendars
  260.    wt: 8:   010 Repeated Addition of Time Intervals
  261.    wt: 8:   34 Derivative of exponential function
  262.    wt: 8:   17 Derivatives of quotients of sine and cosine
  263.    wt: 8:   15 sine and cosine derivatives 3rd step
  264.    wt: 8:   13 sine and cosine derivatives 1st step
  265.    wt: 8:   12 Quotient rule examples
  266.    wt: 8:   9 Reciprocal rule
  267.    wt: 8:   4 Sum Rule
  268.    wt: 8:   1 Fall 1983 Why Slopes Appetizer
  269.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  270.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  271.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  272.    wt: 8:   Chapter 24 Logarithms Powers and Exponentials
  273.    wt: 8:   Chapter 19. Exponentials and Natural Logarithms
  274.    wt: 8:   Postscript More on Better Performance
  275.    wt: 8:   Appendix C. How to Read
  276.    wt: 8:   Chapter 30 Truth Tables
  277.    wt: 8:   Chapter 19. Functions and Sets
  278.    wt: 8:   Chapter 16. Painless Theorem Proving
  279.    wt: 8:   Chapter 13. Second Reading Guide
  280.    wt: 8:   Chapter 11. Why Shorthand
  281.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  282.    wt: 8:   Postscript D Reflections on Law of the Excluded Middle
  283.    wt: 8:   Postscript A Story Telling
  284.    wt: 8:   Chapter 18 Sense and Knowledge
  285.    wt: 8:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  286.    wt: 8:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  287.    wt: 7:   activities for students
  288.    wt: 7:   teacher certification
  289.    wt: 7:   grouping students according to ability
  290.    wt: 7:   mathematics in context
  291.    wt: 7:   three difficulties
  292.    wt: 7:   What to Tell Students
  293.    wt: 7:   Different Kinds of Reasoning in maths
  294.    wt: 7:   Motivation and Context Problem
  295.    wt: 7:   chapitre 12 00 les iles et division
  296.    wt: 7:   chapitre 07 01 principle D induction mathematique
  297.    wt: 7:   chapitre 04 04 Parlons de la logique
  298.    wt: 7:   2 Conductance Resistance Duality02
  299.    wt: 7:   24 Standards For Skill Develoment Take II
  300.    wt: 7:   22 Student Centered Highschool Mathematics
  301.    wt: 7:   Ages 10 to 12 Geometry
  302.    wt: 7:   10 quadratic exercises
  303.    wt: 7:   5 quadratics completing the square
  304.    wt: 7:   4 quadratics difference of two squares
  305.    wt: 7:   3 quadratics factoring by inspection
  306.    wt: 7:   Quadratics in 10 steps
  307.    wt: 7:   5 Polynomials Long division Nonlinear divisor
  308.    wt: 7:   4 Polynomials Long division linear divisor
  309.    wt: 7:   4 possible motivation for term arccos
  310.    wt: 7:   10 Parallelogram Addition Method
  311.    wt: 7:   5 Head To Tail Arrow Addition
  312.    wt: 7:   17 tangent function angle sum formulas
  313.    wt: 7:   32 seven rows of pascals triangle
  314.    wt: 7:   31 basic secant cosecant cotangent trig identities
  315.    wt: 7:   27 Logarithmic use of products of sines and cosines
  316.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  317.    wt: 7:   17E Trig Formulas for dot and cross Products
  318.    wt: 7:   17C sine and cosine double triple angle formulas
  319.    wt: 7:   16 Right Triangle Complementary Angle Relations
  320.    wt: 7:   14 cosine even and sine and tangent are odd
  321.    wt: 7:   12 Graph of tangent function for one period
  322.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  323.    wt: 7:   2 Quadrant I reference Angles
  324.    wt: 7:   13 Trig Formulas for dot and cross Products
  325.    wt: 7:   11 sine and cosine double triple angle formulas
  326.    wt: 7:   5 An Easy Proof of the Distributive Law
  327.    wt: 7:   2 Complex Numbers made easier we hope
  328.    wt: 7:   1 Rectangular Polar Coordinates Review
  329.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  330.    wt: 7:   3 Trigonometric Ratios sine and cosine
  331.    wt: 7:   12 Links Lessons elsewhere
  332.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  333.    wt: 7:   8 Mid Point Formula
  334.    wt: 7:   3 Slope product for perpendicular lines
  335.    wt: 7:   4 Side Side Side
  336.    wt: 7:   22 Multiplication of Signed Numbers
  337.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  338.    wt: 7:   9 Division with Digits after Decimal Point
  339.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  340.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  341.    wt: 7:   4 Location of Point in Decimal Addition
  342.    wt: 7:   3 Location of Point in Decimal Multiplication
  343.    wt: 7:   2 Counting Digits in Decimal Multiplication
  344.    wt: 7:   1 Fractions with Finite Decimal Expansions
  345.    wt: 7:   8 Column Multiplication Methods in General
  346.    wt: 7:   3 Multiplicative Counting Skills Principles
  347.    wt: 7:   15 Real Number Division
  348.    wt: 7:   14 Real Number Multiplication
  349.    wt: 7:   13 Real Number Subtraction
  350.    wt: 7:   11 Real Number Addition
  351.    wt: 7:   10 Real Number Lengths and Signs
  352.    wt: 7:   9 Coordinates for Regions in Space
  353.    wt: 7:   7 Real Numbers as Line Cordinates
  354.    wt: 7:   1 Whole and Natural Numbers
  355.    wt: 7:   5 Independent versus Dependent Variables
  356.    wt: 7:   4 Changing Letters
  357.    wt: 7:   9 Sets in Probability and Statistics
  358.    wt: 7:   5 Talking about Numbers and Quantities
  359.    wt: 7:   1 Three Skills For Algebra
  360.    wt: 7:   7 negative and additive inverse
  361.    wt: 7:   4 signed coordinates for regions in space
  362.    wt: 7:   7 Converting or Changing Units
  363.    wt: 7:   4 Fractions with Units
  364.    wt: 7:   3 Multiplying Units and Numbers
  365.    wt: 7:   18 Efficient Ways to Multiply
  366.    wt: 7:   6 Multiplication of Mixed Numbers
  367.    wt: 7:   13 Subtraction with Additive Inverse
  368.    wt: 7:   12 Adding Integers More Examples
  369.    wt: 7:   11 Efficient Square Rule Use
  370.    wt: 7:   Exact Arithmetic Wholes and Fractions
  371.    wt: 7:   The 12 Times Table Visually
  372.    wt: 7:   013 Travel Time Tables
  373.    wt: 7:   011 Division of Time Intervals By Numbers
  374.    wt: 7:   7 Addition of Time Intervals
  375.    wt: 7:   6 How long is a million seconds
  376.    wt: 7:   4 Mixing and Changing Units of Time
  377.    wt: 7:   1 Intro of Kids To Time Date Skills
  378.    wt: 7:   A Related Material in Volume 3
  379.    wt: 7:   4 Definite Integrals Evaluation Exercises
  380.    wt: 7:   31 Derivatives of inverse functions
  381.    wt: 7:   18 Chain Rule Introduction
  382.    wt: 7:   11 Quotient rule
  383.    wt: 7:   6 Power rule from product rule
  384.    wt: 7:   5 Product Rule
  385.    wt: 7:   11 Limits at infinity Three Examples
  386.    wt: 7:   7 Evaluation by immediate or delayed substitution
  387.    wt: 7:   2 Algebraic codification
  388.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  389.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  390.    wt: 7:   Chapter 22 Complex Numbers
  391.    wt: 7:   Chapter 21 Arrow Addition
  392.    wt: 7:   Chapter 17. Area Approximation
  393.    wt: 7:   Chapter 14 Limits and Continuity with and sans Decimals
  394.    wt: 7:   Chapter 2. Slopes and Ski Trails
  395.    wt: 7:   Foreword
  396.    wt: 7:   Annotated Links to Material Elsehwere
  397.    wt: 7:   Chapter 12 Four Phases
  398.    wt: 7:   Chapter 15 Objective Processes
  399.    wt: 7:   Chapter 10 Responsibility
  400.    wt: 7:   Chapter 5 Deception
  401.    wt: 7:   Chapter 1 Introduction
  402.    wt: 7:   Foreword
  403.    wt: 7:   More Algebra and Slope based Calculus Preview
  404.    wt: 6:   why bother
  405.    wt: 6:   which way to go
  406.    wt: 6:   links Education Resources online
  407.    wt: 6:   site eurekas
  408.    wt: 6:   key notes and themes
  409.    wt: 6:   modern education
  410.    wt: 6:   Postscript 2007 01 10
  411.    wt: 6:   cultivating intelligence
  412.    wt: 6:   How to be a better instructor
  413.    wt: 6:   chapitre 04 09 Regles accidentelles
  414.    wt: 6:   chapitre 04 08 Limitations et benefices
  415.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  416.    wt: 6:   chapitre 04 06 engagements
  417.    wt: 6:   chapitre 04 05 Implication versus suggestion
  418.    wt: 6:   chapitre 04 02 Deuxieme enigme
  419.    wt: 6:   chapitre 04 00 Les regles d implication
  420.    wt: 6:   Trois Notions qui menent a algebre
  421.    wt: 6:   24 Standards For Skill Develoment
  422.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  423.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  424.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  425.    wt: 6:   5 Patience Please for Yourself and Your Charges
  426.    wt: 6:   2 Reading and Writing Skills
  427.    wt: 6:   Ages 9 to 10
  428.    wt: 6:   Ages 8 to 9
  429.    wt: 6:   Ages 7 to 8
  430.    wt: 6:   Ages 6 to 7
  431.    wt: 6:   Ages 4 plus to 5 plus
  432.    wt: 6:   Ages 3 plus to 4 plus
  433.    wt: 6:   20 Interchanging coordinates a reflection
  434.    wt: 6:   17 Function maxima minima and their location
  435.    wt: 6:   6 Set Existence Formation and Notation
  436.    wt: 6:   5 Function notation for geometric transformations
  437.    wt: 6:   3 Polynomials Multiplication Addition
  438.    wt: 6:   1 Polynomials Distributive Law
  439.    wt: 6:   8 arcsin left inverse of sine Graph
  440.    wt: 6:   6 Graph of arccos function
  441.    wt: 6:   9 Head to Tail Coordinate View
  442.    wt: 6:   3 Navigation with Arrows or Vectors
  443.    wt: 6:   2 Signed Coordinates
  444.    wt: 6:   30 unit circle calculation of six trigonometric functions
  445.    wt: 6:   28 Expressing products of sines cosines as sums
  446.    wt: 6:   17A The complex number valued trig function cis
  447.    wt: 6:   15 sine cosine Complementary Angle Relations
  448.    wt: 6:   13 Graph of tangent function many periods
  449.    wt: 6:   11 tangent function undefined when terminal side vertical
  450.    wt: 6:   10 Graphs of sines and cosines many periods
  451.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  452.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  453.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  454.    wt: 6:   7 Second Way to Calculate Products
  455.    wt: 6:   Appetizer A Complex Number Applet
  456.    wt: 6:   7 Trignometric Ratios Unit Circle
  457.    wt: 6:   1 Angle Measurement with Degrees
  458.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  459.    wt: 6:   Four Simple Exercises
  460.    wt: 6:   6 Intersection of lines by solving linear systems
  461.    wt: 6:   5 Algebraic View of Slopes
  462.    wt: 6:   musings do not puiblish real numbers
  463.    wt: 6:   A Signed Number Arithmetic Review
  464.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  465.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  466.    wt: 6:   E Long Division Methods more
  467.    wt: 6:   D Long Division Methods
  468.    wt: 6:   5 Rational Numbers More
  469.    wt: 6:   4 Rational Numbers
  470.    wt: 6:   More Exercises
  471.    wt: 6:   Simple Exercises
  472.    wt: 6:   2 Venn Diagrams
  473.    wt: 6:   4 A Brief Story of numbers and algebra
  474.    wt: 6:   6 GCD from Prime
  475.    wt: 6:   D Remainders Modulo 11 Pair Rule
  476.    wt: 6:   10 Integer Multiplication Formulas
  477.    wt: 6:   6 Multiplication by Natural Numbers
  478.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  479.    wt: 6:   Quick history of numbers and algebra
  480.    wt: 6:   Expression Evaluation how to show work
  481.    wt: 6:   The 20 Times Table
  482.    wt: 6:   5 Conversion Arithmetic
  483.    wt: 6:   3 Units and Lengths of Time
  484.    wt: 6:   5 Area Under Curve Exercise
  485.    wt: 6:   2 Indefinite Integrals Exercises
  486.    wt: 6:   1 Chain Rule in Reverse Integration Method
  487.    wt: 6:   4 Second derivative test exercise example
  488.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  489.    wt: 6:   8 Four Animated Examples
  490.    wt: 6:   5 Jumps and absence of unlimited error control
  491.    wt: 6:   3 Decimal insights for limits continuity convergence
  492.    wt: 6:   F.3 Intermediate Value Theorem
  493.    wt: 6:   F.2 Closed Range Theorem
  494.    wt: 6:   F.1 What Functions are Continuous
  495.    wt: 6:   E2 Algebraic Properties of Limits
  496.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  497.    wt: 6:   C Triangle Inequalities
  498.    wt: 6:   B3 Bolzano Weierstrass Theorem
  499.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  500.    wt: 6:   Chapter 20 Vectors and Complex Numbers
  501.    wt: 6:   Chapter 18. Slopes Areas Integration
  502.    wt: 6:   Chapter 15. Algebraic Evaluation of Limits
  503.    wt: 6:   Chapter 12. Units and Slopes
  504.    wt: 6:   Chapter 4. More Slope Sign Analysis
  505.    wt: 6:   Chapter 3. Slope Sign Analysis
  506.    wt: 6:   Fall 1983 Calculus Appetizer
  507.    wt: 6:   Postscript B Mathematics Education References
  508.    wt: 6:   Postscript A Three Remarks
  509.    wt: 6:   R Why Learn Mathematics Skills
  510.    wt: 6:   P Exact Arithmetic With Whole Numbers and Fractions
  511.    wt: 6:   O On Learning Mathematics and Science
  512.    wt: 6:   N Mathematics Prepare for College Studies
  513.    wt: 6:   L Skills with take home value
  514.    wt: 6:   I. Logic and language skills
  515.    wt: 6:   G. Written work formats for developing and showing skill
  516.    wt: 6:   Helping the Blind in Logic and Mathematics
  517.    wt: 6:   Mathematics Education References
  518.    wt: 6:   Mathematics Education References
  519.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  520.    wt: 6:   Multiple Ways to Improve Mathematics Skill Development
  521.    wt: 6:   Systematic Algebra Skill Development Missing Links
  522.    wt: 5:   website reviews
  523.    wt: 5:   site origins
  524.    wt: 5:   Theory of Knowledge
  525.    wt: 5:   chapitre 05 00 Deception
  526.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  527.    wt: 5:   chapitre 04 01 Premiere enigme
  528.    wt: 5:   chapitre 01 00 Introduction
  529.    wt: 5:   problemes algebre et arithmetique
  530.    wt: 5:   D Wire Resistance Calculation02
  531.    wt: 5:   B Wire Resistance Qualitative02
  532.    wt: 5:   A Wire Resistance Qualitative01
  533.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  534.    wt: 5:   17 Math Booklets for children and young teenagers
  535.    wt: 5:   16 Secondary Mathematics Tips
  536.    wt: 5:   13 Addition and Addition Tables
  537.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  538.    wt: 5:   4 Learning Takes Time and Effort
  539.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  540.    wt: 5:   12 Function Domain Recognition Exercises
  541.    wt: 5:   11 Function Domain Range Source and Targets
  542.    wt: 5:   4 Function notation in and beyond mathematics
  543.    wt: 5:   3 Formula or function graphing exercise
  544.    wt: 5:   2 Algebraic use of function notation
  545.    wt: 5:   2 Column Multiplication Method
  546.    wt: 5:   7 arcsin left inverse of sine Definition
  547.    wt: 5:   3 Left Inverse of cosine arccos definition
  548.    wt: 5:   2 cosine function more properties
  549.    wt: 5:   8 Parallel Vectors
  550.    wt: 5:   4 Resultant of a Sum of Movements
  551.    wt: 5:   Vector and Complex Number Applet
  552.    wt: 5:   17G Pythagorean Theorem Converse
  553.    wt: 5:   9 Graphs of sine and cosine over one period
  554.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  555.    wt: 5:   20 N th Roots of Complex Numbers
  556.    wt: 5:   16 References and Originality Question
  557.    wt: 5:   15 Pythagorean Theorem Converse
  558.    wt: 5:   9 The complex number valued trig function cis
  559.    wt: 5:   19 Signed Multiples of Vectors
  560.    wt: 5:   1 The Counting Origins of Numbers
  561.    wt: 5:   6 Unsigned Real Numbers
  562.    wt: 5:   3 Fractions
  563.    wt: 5:   2 Integers
  564.    wt: 5:   7 Cautious or Safe Set Construction
  565.    wt: 5:   3 Adding Words To Arithmetic
  566.    wt: 5:   9 subtracting signed numbers
  567.    wt: 5:   6 adding signed numbers
  568.    wt: 5:   5 lengths and signs of numbers
  569.    wt: 5:   5 Zero Movement and Additive Inverses
  570.    wt: 5:   3 Adding Movements with same direction
  571.    wt: 5:   1 Integers as Coordinates
  572.    wt: 5:   3 Two Chain Rule Method Exercises
  573.    wt: 5:   A Related lessons in Volume 3
  574.    wt: 5:   2 Second derivative test prequel
  575.    wt: 5:   10 Three one sided limits with infinite values
  576.    wt: 5:   6 Continuity at a point
  577.    wt: 5:   G.4 Lipschitz Continuity implies EquiContinuity
  578.    wt: 5:   G.3 Constant Difference Theorem Proof
  579.    wt: 5:   G.1 Differentiable Functions Rolles Theorem
  580.    wt: 5:   F.5b Extreme Value Theorem
  581.    wt: 5:   F.5a Equicontinuity Theorems
  582.    wt: 5:   F.4 Finite Covering Theorem
  583.    wt: 5:   E1 Error Control Inequalities
  584.    wt: 5:   D2 Limits of Monotone Sequences
  585.    wt: 5:   A1. Introduction
  586.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  587.    wt: 5:   Chapter 23 Links To Trigonometry
  588.    wt: 5:   Chapter 16. Velocity Approximation
  589.    wt: 5:   Chapter 15. Slope Approximation
  590.    wt: 5:   Chapter 13. Acceleration
  591.    wt: 5:   Chapter 9 About First Courses in Calculus
  592.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  593.    wt: 5:   Chapter 11 Elementary Instruction
  594.    wt: 5:   Chapter 10 Transition
  595.    wt: 5:   Chapter 7 Two Treatments of Geometry
  596.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  597.    wt: 5:   Chapter 3 Algebra Difficulties
  598.    wt: 5:   N Improving Marks on Tests and Finals
  599.    wt: 5:   D. Check work a must with a caution
  600.    wt: 5:   Mathematics Teacher Certification Best Practices
  601.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  602.    wt: 4:   deux definitions pour variable
  603.    wt: 4:   1 Conductance Resistance Duality01
  604.    wt: 4:   F Wire Resistance Calculation04
  605.    wt: 4:   E Wire Resistance Calculation03
  606.    wt: 4:   C Wire Resistance Calculation01
  607.    wt: 4:   3 Like resistors in parallel
  608.    wt: 4:   2 Unlike resistors in parallel01
  609.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  610.    wt: 4:   18 Primary School Mathematics
  611.    wt: 4:   14 Multiplication and Times Tables
  612.    wt: 4:   26 Function definitions done and coming
  613.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  614.    wt: 4:   16 Increasing or decreasing on intervals
  615.    wt: 4:   15 Sign analysis of functions
  616.    wt: 4:   8 Notes for instructors or tutors
  617.    wt: 4:   1 cosine function properties
  618.    wt: 4:   15 Dot and Cross Product
  619.    wt: 4:   6 Vectors with Coordinates
  620.    wt: 4:   1 Unsigned Coordinates
  621.    wt: 4:   17F Law of cosines
  622.    wt: 4:   8 period of tangent function
  623.    wt: 4:   7 period of sine and cosine
  624.    wt: 4:   1 Unit Points Reflections Rotations
  625.    wt: 4:   14 Law of cosines
  626.    wt: 4:   4 Multiplication Properties
  627.    wt: 4:   3 Addition Properties
  628.    wt: 4:   Why Trigonometry the whyslopes view
  629.    wt: 4:   About Folder Contents
  630.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  631.    wt: 4:   6 Power Set Notation
  632.    wt: 4:   5 Product Builder Notation
  633.    wt: 4:   4 Subset Builder Notation
  634.    wt: 4:   About Folder Contents
  635.    wt: 4:   10 dividing signed numbers
  636.    wt: 4:   8 multiplying signed numbers
  637.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  638.    wt: 4:   B Integer Long Division Multiple Choices
  639.    wt: 4:   8 Multiplication by Signed Numbers Integers
  640.    wt: 4:   7 Multiplication by Signs
  641.    wt: 4:   4 Adding Movements wiht opposite directions
  642.    wt: 4:   About folder contents
  643.    wt: 4:   3 Second derivative test
  644.    wt: 4:   9 Limits Continuity and Composition
  645.    wt: 4:   4 Numerical properties
  646.    wt: 4:   1 Numerical introduction
  647.    wt: 4:   G.5 Motions With Bounded Velocities
  648.    wt: 4:   Chapter 11. Graphing Slope versus Position
  649.    wt: 4:   Chapter 10 Slopes and Units
  650.    wt: 4:   Chapter 8. Slope Interpretation
  651.    wt: 4:   Chapter 7 Slopes and Velocity
  652.    wt: 4:   Chapter 9 The Two Ends
  653.    wt: 4:   Chapter 8 Modern Instruction
  654.    wt: 4:   Chapter 5 Four References
  655.    wt: 4:   Chapter 1 Introduction
  656.    wt: 4:   Foreword
  657.    wt: 4:   S Adding words to algebra
  658.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  659.    wt: 4:   H Jigsaw puzzles and problem solving
  660.    wt: 4:   F. The student teacher tutor feedback loop
  661.    wt: 4:   A. Skill has to be seen to believed
  662.    wt: 4:   How to Build Skills and Confidence
  663.    wt: 4:   Implementation Notes
  664.    wt: 4:   Which Way To Go
  665.    wt: 3:   liens
  666.    wt: 3:   problemes responses
  667.    wt: 3:   logique deux enigme
  668.    wt: 3:   2 Energy Power Heat07
  669.    wt: 3:   B Energy Power02
  670.    wt: 3:   C Electromotive force conventional current02
  671.    wt: 3:   15 Counting For Parents
  672.    wt: 3:   11 Help and Defend Your Child or Teens Education
  673.    wt: 3:   10 Ends values for work study instruction
  674.    wt: 3:   9 Streaming by Student Cooperation
  675.    wt: 3:   8 The Effect of Negative Remarks
  676.    wt: 3:   3 Preparing for Science Studies
  677.    wt: 3:   1 Speaking Skills
  678.    wt: 3:   23 Inverse Functions
  679.    wt: 3:   19 Horizontal line rule and method
  680.    wt: 3:   18 Vertical Line Rule and Method
  681.    wt: 3:   10 Interval Notation
  682.    wt: 3:   8 Set view of relations and functions
  683.    wt: 3:   7 Links Lessons Elsewhere
  684.    wt: 3:   Rewriting algebraic substitution as function substitutions
  685.    wt: 3:   13 Velocity Vectors in Physics
  686.    wt: 3:   11 Component Method
  687.    wt: 3:   Unit Circle Development of Trigonometry
  688.    wt: 3:   19 N th Roots of Unity
  689.    wt: 3:   18 Sixth Roots of Unity
  690.    wt: 3:   17 Cube Roots of unity
  691.    wt: 3:   8 Unit Circle Development of Trigonometry
  692.    wt: 3:   6 Field Properties of Complex Number
  693.    wt: 3:   8 Sets of Numbers
  694.    wt: 3:   3 Counting with Sets etc
  695.    wt: 3:   1 Finite Sets
  696.    wt: 3:   9 Multiplying Integers
  697.    wt: 3:   Chapter 5. Slope Sign Tests
  698.    wt: 3:   Chapter 1.Introduction
  699.    wt: 3:   Foreword
  700.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  701.    wt: 3:   M Words to extend arithmetic
  702.    wt: 3:   J. More on written work and showing skill
  703.    wt: 3:   E. When and how to correct errors
  704.    wt: 3:   C. Domino effect of being careful
  705.    wt: 3:   B. Domino effect of errors
  706.    wt: 3:   The Math Forum and Site Content
  707.    wt: 2:   4 Energy Power Heat09
  708.    wt: 2:   3 Energy Power Heat08
  709.    wt: 2:   1 Energy Power Heat06
  710.    wt: 2:   A Energy Power01
  711.    wt: 2:   B Electromotive force conventional current01
  712.    wt: 2:   Home Tutoring and Home Schooling
  713.    wt: 2:   7 Student Motivation
  714.    wt: 2:   13 From one to one to many to one
  715.    wt: 2:   9 Set theory term relation possible origins
  716.    wt: 2:   7 Functions with finite domains
  717.    wt: 2:   1 Geometric Introduction of Function Notation
  718.    wt: 2:   Introduction Reading Guide
  719.    wt: 2:   H more Routine to non routine problem solving
  720.    wt: 2:   Road Safety Questions
  721.    wt: 1:   E Energy Power05
  722.    wt: 1:   D Energy Power04
  723.    wt: 1:   C Energy Power03
  724.    wt: 1:   1 Like resistors in series
  725.    wt: 1:   H Series Circuit02
  726.    wt: 1:   F Unlike Resistors in Series
  727.    wt: 1:   E Kirchoffs Second Law
  728.    wt: 1:   D Kirchoff First Law
  729.    wt: 1:   A Circuit Elements
  730.    wt: 1:   14 Surjections Injections Bijections
  731.    wt: 19:   Long Division forwards and backwards Example 2
  732.    wt: 18:   2 Another Rectangle Area Formula Example
  733.    wt: 18:   Long Division forwards and backwards Example 3
  734.    wt: 18:   2 Subtraction Easy Case Examples
  735.    wt: 18:   1 Comparison and Subtraction Easy Direct Cases
  736.    wt: 17:   Long Division forwards and backwards Example 1
  737.    wt: 17:   Appendix 2 Three Decimal Subtraction Methods
  738.    wt: 17:   Appendix 1 Decimals Comparison Method Take II
  739.    wt: 17:   7 Subtraction for Decimal Fractions with Exercises
  740.    wt: 17:   3 Harder Cases Convert to Compare and Subtract
  741.    wt: 16:   Parallel Lines and Parallel Transversals
  742.    wt: 16:   13 Pythagorean spatial distance formulas
  743.    wt: 16:   3 Triangle Area Formula Example
  744.    wt: 15:   2 Graphing y=Af(x) Vertical Scaling
  745.    wt: 15:   Parallel Lines and Alternating Corresponding Angles
  746.    wt: 15:   10 Pythagorean plane distance formula
  747.    wt: 15:   2 More and Less Than for Counts and Measures
  748.    wt: 15:   6 Pythagorean Hypotenuse Calculation Example
  749.    wt: 15:   4 Circle Area Formula Example
  750.    wt: 15:   A Elementary Basis for Multiplication Methods
  751.    wt: 15:   Video Decimal Multiplication Geometric View Example 2
  752.    wt: 15:   Video Decimal Multiplication Geometric View Example 2
  753.    wt: 15:   Video Power Notation in Decimal Expansion
  754.    wt: 15:   Subtraction with J Conversions Example
  755.    wt: 15:   Subtraction Another Video Lesson
  756.    wt: 15:   9 22 Minute Subtraction Review Video
  757.    wt: 15:   6 Subtraction with Conversion Example with Exercises
  758.    wt: 15:   5 A Tip for Efficent Subtraction
  759.    wt: 15:   8 What skills and work habits to require
  760.    wt: 15:   7 Adding decimal fractions using decimal point
  761.    wt: 15:   3. How to add with decimals A sans conversions
  762.    wt: 15:   2 Decimal Counting Practices
  763.    wt: 15:   Example 1. Area Between x and x squared
  764.    wt: 15:   Chapter 14. Forward and Backward Use of a Formula
  765.    wt: 15:   Chapter 2 Implication Rules Forwards and Backwards
  766.    wt: 15:   Chapter 22 Contrapositive and Vacuously True Implications
  767.    wt: 15:   Primary and Secondary Skills and Practices with Take Home Value
  768.    wt: 14:   9 Summary Degrees to Radians and back
  769.    wt: 14:   2 Radian Measure Numerical Value of one degree
  770.    wt: 14:   Proportionality of Line Segments From Parallel Transversals
  771.    wt: 14:   Parallel Lines and Interior Angles
  772.    wt: 14:   Construction Methods and Criteria for Isometric and Similar Triangles
  773.    wt: 14:   5 Cartesian Addition and Translation
  774.    wt: 14:   PS F Scalar Multiplication Distributes over Addition
  775.    wt: 14:   3 Lengths and Areas on Maps and Plans
  776.    wt: 14:   9 Circle Area and Perimeter Formula Backwards Forwards
  777.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  778.    wt: 14:   8 Compound Interest Formula Evaluation
  779.    wt: 14:   1 Written work formats for developing and showing skill
  780.    wt: 14:   Long Division Backwards more
  781.    wt: 14:   Long Division Backward
  782.    wt: 14:   8 Subtraction with Units of Measure
  783.    wt: 14:   4 Subtraction with Conversions Borrows and Letter J
  784.    wt: 14:   Appendix 1 Counting Revisited 15 minute video
  785.    wt: 14:   6. Counting and adding units and mixed units
  786.    wt: 14:   5. How to add decimals C. Examples
  787.    wt: 14:   1. Explaining Addition Table
  788.    wt: 14:   2 Groups of Three Place Value for Multidigit Decimals
  789.    wt: 14:   2 Identifying Size and Position Place and Spatial Sense
  790.    wt: 13:   three goals for Mathematics Education
  791.    wt: 13:   sign monoticity analysis example 2
  792.    wt: 13:   8 Formulas for Fractional Exponents with Logarithms
  793.    wt: 13:   5 Natural Logarithm Calculator Exercises
  794.    wt: 13:   3 Natural Logarithms and Exponentials Basic Properties
  795.    wt: 13:   7 Radian Measures in special Triangles
  796.    wt: 13:   4 Circle Sector Area proportional to Central Angle
  797.    wt: 13:   6 Tangent Function Inclination Angle Take 2
  798.    wt: 13:   3 Straight Lines Slope as Tangent of Inclination Angle
  799.    wt: 13:   22 sine of 22.5 degrees via half angle formulas
  800.    wt: 13:   13 Navigation Location from Angles to 2 Landmarks
  801.    wt: 13:   12 Spatial Coordinates
  802.    wt: 13:   2 Cartesian Coordinates with signs
  803.    wt: 13:   PS D Addition with Cartesian Coordinates
  804.    wt: 13:   PS B Parallelogram Construction Methods
  805.    wt: 13:   4 Angles on Maps Plans drawn to scale
  806.    wt: 13:   4 Rates Ratios and Proporitionality
  807.    wt: 13:   4 Rectangle Area and Like Formulas Backwards
  808.    wt: 13:   2 Three Examples
  809.    wt: 13:   2 Three Examples
  810.    wt: 13:   13 Naming Identifying Formulas with Words
  811.    wt: 13:   5 Box Volume Formula Example
  812.    wt: 13:   1 More and Less Than for Counts and Measures
  813.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  814.    wt: 13:   A Decimals Modular and Remainder Arithmetic
  815.    wt: 13:   27 Divisibility by 2 3 6 5 9 10 Example
  816.    wt: 13:   25 Divisibility Tests for 2 3 5 9 10 Example
  817.    wt: 13:   12 Why Long Division Works Take III
  818.    wt: 13:   7 Long Divison Mistake Catching
  819.    wt: 13:   2 Division with Single Digit Divisors
  820.    wt: 13:   4. How to add with decimals B with conversions
  821.    wt: 13:   11 Place Value SI Standard International way
  822.    wt: 13:   Area Between Crossing Curves Lesson Take 2
  823.    wt: 13:   Area Between Curves Lesson Take 2
  824.    wt: 13:   Chapter 29 Contrapositive and Vacuously True Implications
  825.    wt: 13:   Chapter 26 What is in chapters 27 to 31
  826.    wt: 13:   Chapter 25. Mathematical Induction Examples
  827.    wt: 13:   Chapter 12 Islands and Divisions of Knowledge
  828.    wt: 13:   Chapter 4 Implication Rules Forwards and Backwards
  829.    wt: 13:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  830.    wt: 13:   5 Interpreting and Drawing Maps and Plans.
  831.    wt: 12:   Appendix 1 primary and preschool mathematic
  832.    wt: 12:   Applied Maths Program14092009 POMME variant
  833.    wt: 12:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  834.    wt: 12:   9 Formulas for Real Exponents with Logarithms
  835.    wt: 12:   7 Formulas for Roots with Logarithms Derivation
  836.    wt: 12:   6 Formulas for Even and Odd Roots with Logarithms
  837.    wt: 12:   2 Square Root Simplification a prequel
  838.    wt: 12:   8 Radian Measures of Common Angles
  839.    wt: 12:   3 Circle Arclengh Proportional to Central Angle
  840.    wt: 12:   4 graphing y=Asin(x c)
  841.    wt: 12:   1 graphing y=f(x a)
  842.    wt: 12:   SAS Method For Isometric Or Proportional Triangle Construction
  843.    wt: 12:   8 Straight Lines Equation for vertical
  844.    wt: 12:   7 Tangent Function is odd on this domain
  845.    wt: 12:   2 Straight Lines Slopes As Rise Over Run
  846.    wt: 12:   29 secant cosecant and cotangent for acute angles
  847.    wt: 12:   6 Polar Multiplication and Rotation
  848.    wt: 12:   1 Cartesian Coordinates sans signs
  849.    wt: 12:   PS H Distributive Law For Complex Numbers
  850.    wt: 12:   PS G Rotation Distributes over Addition
  851.    wt: 12:   PS E Multiplication with Polar Coordinates
  852.    wt: 12:   21 Parallelograms
  853.    wt: 12:   5 Drawing to Scale Avoids Angle Distortions
  854.    wt: 12:   5 Proportionality in Equivalent Fractions
  855.    wt: 12:   2 Algebraic View
  856.    wt: 12:   1 What is Proportionality
  857.    wt: 12:   8 Pythagorean Relation Forwards Backwards
  858.    wt: 12:   5 Triangle Area Formula Backwards
  859.    wt: 12:   2 Addition and Multiplication Axioms
  860.    wt: 12:   5 Greater More Less Than Signs in General
  861.    wt: 12:   4 Comparison of Negative Numbers
  862.    wt: 12:   1 Real Numbers Comparison
  863.    wt: 12:   3 Gaussian Elimination 3 unknowns first example
  864.    wt: 12:   3 GE III Equation Addition and Multiplication
  865.    wt: 12:   2 GE II Comparison
  866.    wt: 12:   2 Essentially one exercises three with solution
  867.    wt: 12:   4 Four Examples Fractional Coefficients
  868.    wt: 12:   12 Cone Cylinder Sphere Lesson Idea
  869.    wt: 12:   7 Compound Interest Formula Introduction
  870.    wt: 12:   2 More and Less Than with Unlike Signs
  871.    wt: 12:   21 Reciprocals for Fractions and Wholes
  872.    wt: 12:   8 Numerals Fractionals Quantals Take II
  873.    wt: 12:   Fraction Operations by Raising Terms A Simple Innovation
  874.    wt: 12:   26 Divisibility by 2 3 5 Example
  875.    wt: 12:   24 Divisibility Tests for 2 3 5 9 10
  876.    wt: 12:   23 Remainder Arithmetic Modulo 2
  877.    wt: 12:   22 Remainder Arithmetic Modulo 3 more
  878.    wt: 12:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  879.    wt: 12:   18 Remainder Arithmetic Rule of 9 for checking sums II
  880.    wt: 12:   16 Remainder Arithmetic Modulo 9 Example 2
  881.    wt: 12:   12 Remainder Arithmetic Modulo 10 Example
  882.    wt: 12:   8 Remainder Arithmetic Morulo 5 Examples II
  883.    wt: 12:   4 Remainder Arithmetic Modulo 10 in general
  884.    wt: 12:   2 Remainder Arithmetic Modulo 10 more
  885.    wt: 12:   Division with Counts and Length
  886.    wt: 12:   11 Another Single Digit Divisor Example
  887.    wt: 12:   10 Division by Five Long and Short Ways
  888.    wt: 12:   6 Why Decimal Long Division Methods Works Take I
  889.    wt: 12:   3 Division Single Digit Divisor Example
  890.    wt: 12:   5 Decimal Fraction Multiplication
  891.    wt: 12:   9 Place Value Review Decimal form of Avogrados number included
  892.    wt: 12:   Example 2 volume of a cone
  893.    wt: 12:   Example 1 volume of a pyramid
  894.    wt: 12:   Area Between Crossing Curves Lesson Take 1
  895.    wt: 12:   Area Between Curves Lesson Take 1
  896.    wt: 12:   A Chain Rule Real Player video examples
  897.    wt: 12:   38 Formulas and derivatives for powers and roots
  898.    wt: 12:   28 Chain Rule Preparation for a Proof
  899.    wt: 12:   Chapter 22. Geometric Sums and Sequences
  900.    wt: 12:   Chapter 20. Degrees and Radians
  901.    wt: 12:   Chapter 2 For and Against Mathematics
  902.    wt: 12:   Postscript C Consistency as a Tool for Reason
  903.    wt: 12:   Chapter 19 What is in chapters 20 to 24
  904.    wt: 12:   Appendix A Calculus with Proofs for Keen or Gifted
  905.    wt: 12:   Chapter 7 Calculus Previews and Calculus Lightly
  906.    wt: 12:   Chapter 4 Logic for Reading Writing and Geometry etc
  907.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  908.    wt: 12:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  909.    wt: 11:   Appendix 2 primary school Arithmetic 01
  910.    wt: 11:   C LAMP Introduction Culture in Mathematics Education
  911.    wt: 11:   Skills Chapter 2 Geometry
  912.    wt: 11:   7 logic review and decimals an odd combination
  913.    wt: 11:   02 20 mathematics education references
  914.    wt: 11:   three aims for mathematics students
  915.    wt: 11:   Ages 12 to 14 Skills with take home value
  916.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  917.    wt: 11:   sign monoticity analysis example 4
  918.    wt: 11:   sign monoticity analysis example 3
  919.    wt: 11:   sign monoticity analysis example 1
  920.    wt: 11:   8 quadratics backward use of various formulas
  921.    wt: 11:   1 Calculator Starter Exercises
  922.    wt: 11:   6 Radian Measure to Degrees
  923.    wt: 11:   5 Degrees to Radian Measure
  924.    wt: 11:   1 Degrees and Radians Introduction
  925.    wt: 11:   3 graphing y=f(x c) plus K
  926.    wt: 11:   Triangle Angles Sum To 180 Degrees
  927.    wt: 11:   Straight Lines ASA Intersection Study More
  928.    wt: 11:   D Straight Lines Slope from Coordinates Examples
  929.    wt: 11:   A Straight Line Slope Scaling Properties
  930.    wt: 11:   14 Straight Lines Equations General Case
  931.    wt: 11:   12 cis formulas for sine cosines and tangent
  932.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  933.    wt: 11:   7 Translations Rotations Reflections Dilatations
  934.    wt: 11:   9 Pythagorean Theorem Chinese Square Proof
  935.    wt: 11:   8 Distance Between Points on a Line
  936.    wt: 11:   4 Polar Coordinates to and from
  937.    wt: 11:   3 Rectangular Coordinates Review
  938.    wt: 11:   12 Side Angle Side Failure
  939.    wt: 11:   6 Ruler and compass Angle Bisection
  940.    wt: 11:   8 More Use of Maps Not Drawn to Scale
  941.    wt: 11:   2 Measuring Area Directly
  942.    wt: 11:   15 Head to Tails in place Addition Associative
  943.    wt: 11:   1 Decimals Modular and Remainder Arithmetic
  944.    wt: 11:   3 Proportionality Examples
  945.    wt: 11:   4 Subtraction and Division Axioms
  946.    wt: 11:   3 More and Less Than with Unlike Signs
  947.    wt: 11:   4 GE III Animated Examples
  948.    wt: 11:   4 Solving a triangular system exercise
  949.    wt: 11:   6 Algebraic Solution Example
  950.    wt: 11:   1 Proper Equal Sign Usage
  951.    wt: 11:   9 Three Examples
  952.    wt: 11:   6 Three Examples
  953.    wt: 11:   5 Three Examples
  954.    wt: 11:   10 Volume of Pyramid
  955.    wt: 11:   4 Greater More Less Than Signs in General
  956.    wt: 11:   3 Comparison of Negative Numbers
  957.    wt: 11:   16 GCD and LCM of 650 225 via Prime
  958.    wt: 11:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  959.    wt: 11:   3 signed coordinates for maps and planes
  960.    wt: 11:   5 Reciprocals and Division for Fractions with Units
  961.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  962.    wt: 11:   16 Addition Subtraction Comparision Compared
  963.    wt: 11:   7 Numerals Fractionals Quantals
  964.    wt: 11:   1 What is a fraction Take II
  965.    wt: 11:   21 Remainder Arithmetic Modulo 3
  966.    wt: 11:   19 Remainder Arithmetic Rule of 9 for checking sums III
  967.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  968.    wt: 11:   15 Remainder Arithmetic Modulo 9 Example
  969.    wt: 11:   14 Remainder Arithmetic Modulo 9 Example
  970.    wt: 11:   13 Remainder Arithmetic Modulo 5 Example
  971.    wt: 11:   11 Remainder Arithmetic Long Division by 5 Quickly more
  972.    wt: 11:   10 Remainder Arithmetic Long Division by 5 Quickly
  973.    wt: 11:   9 Remainder Arithmetic Divisibility by 5
  974.    wt: 11:   7 Remainder Arithmetic Modulo 5 Examples I
  975.    wt: 11:   5 Remainder Arithmetic Modulo 5
  976.    wt: 11:   3 Remainder Arithmetic Modulos 10 more still
  977.    wt: 11:   1 Remainder Arithmetic Modulo 10
  978.    wt: 11:   15 video Factors of 20 using Prime Factorization
  979.    wt: 11:   10 video Prime Factorization upto 23 squared
  980.    wt: 11:   7 Calculator Usage Notes and Cautions
  981.    wt: 11:   5 Prime Factorization and a Square Rule
  982.    wt: 11:   9 Why Long Division Works Take II
  983.    wt: 11:   8 Correcting the Mistake
  984.    wt: 11:   4 Division with 2 Digit Divsors
  985.    wt: 11:   1 Divsion Physical Examples
  986.    wt: 11:   D Decimal Multiplication Methods Derived
  987.    wt: 11:   C Counting Areas with Powers of Ten
  988.    wt: 11:   6 Multiplication Commutes Order Not Important
  989.    wt: 11:   4 Two and Three Digit Multipliers
  990.    wt: 11:   2 One Digit Multipliers
  991.    wt: 11:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  992.    wt: 11:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  993.    wt: 11:   5 More on Groups of 3 Place Value in Decimal Fractions
  994.    wt: 11:   4 Groups of 3 Place Value in Decimal Fractions
  995.    wt: 11:   Example 3
  996.    wt: 11:   Example 2
  997.    wt: 11:   25 Chain Rule Animated Examples Continued
  998.    wt: 11:   24 Chain Rule Animated Examples
  999.    wt: 11:   22 Chain Rule for polynomials
  1000.    wt: 11:   7 Animated Differentiation Examples
  1001.    wt: 11:   G.2 Lipshitz Conditions Integration Calculus Reform
  1002.    wt: 11:   Appendix A. Reading Guide For Next Appendices
  1003.    wt: 11:   Chapter 27 Shorthand Symbols as Pronouns
  1004.    wt: 11:   Chapter 24. Personal Investment and Pension EGS
  1005.    wt: 11:   Chapter 23. Notation For Sums
  1006.    wt: 11:   Chapter 12. Shorthand Usage Guide
  1007.    wt: 11:   Chapter 10 Describing and Changing Calculations
  1008.    wt: 11:   Chapter 8 Three Skills For Algebra
  1009.    wt: 11:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1010.    wt: 11:   Chapter 5 Islands and Divisions of Knowledge
  1011.    wt: 11:   Chapter 24 Direct and Indirect Reason
  1012.    wt: 11:   Chapter 20 Shorthand Symbols as Pronouns
  1013.    wt: 11:   Chapter 17 Objective Ways Trial and Error Discovery
  1014.    wt: 11:   Chapter 16 Origins and Limitations of Rules and Patterns
  1015.    wt: 11:   Chapter 14 Deductive and Empirical Views of Mathematics
  1016.    wt: 11:   V Reasons and Motivations for Logic and Mathematics
  1017.    wt: 11:   Chapter 6 More Algebra and Geometry
  1018.    wt: 11:   Chapter 3 Algebra Starter Lessons
  1019.    wt: 11:   Chapter 2 Why Sets
  1020.    wt: 11:   7 Games and Activities for Instruction
  1021.    wt: 11:   6 Measuring via counting or arithmetic the role of fractions
  1022.    wt: 11:   4 Money Matters Saving Earning Buying Selling and Budgets
  1023.    wt: 11:   3 Telling Tracking Time Temporal and More Place Sense
  1024.    wt: 11:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1025.    wt: 10:   E LAMP Introduction Modern Mathematics
  1026.    wt: 10:   B LAMP Introduction Curriculum Development Standards
  1027.    wt: 10:   Skills Chapter 5 Calculus
  1028.    wt: 10:   Ramblings Introduction Algebra Essay
  1029.    wt: 10:   Skills Chapter 3 Algebra
  1030.    wt: 10:   Skills Chapter 1 Arithmetic
  1031.    wt: 10:   5 logarithms and exponentials etc
  1032.    wt: 10:   2 arithmetic with signed numbers
  1033.    wt: 10:   Maps Plans Drawings
  1034.    wt: 10:   Secondary Three Mathematics
  1035.    wt: 10:   02 21 words for teachers
  1036.    wt: 10:   standards for course material
  1037.    wt: 10:   three kinds of reason in mathematics
  1038.    wt: 10:   Prequel In For A Penny In For A Pound
  1039.    wt: 10:   education an empirical art
  1040.    wt: 10:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  1041.    wt: 10:   10 Exponential Growth and Decay Models
  1042.    wt: 10:   12 motivation for term arctan
  1043.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  1044.    wt: 10:   Straight Lines ASA Intersection Study
  1045.    wt: 10:   C Straight Lines Slope from Coordinates
  1046.    wt: 10:   B Straight Line Slope Scaling Properties More
  1047.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  1048.    wt: 10:   12 Straight Lines Graphing mx plus b
  1049.    wt: 10:   11 Straight Lines Graphing y=mx
  1050.    wt: 10:   5 Tangent Function Graph
  1051.    wt: 10:   33 sines and cosines of 2A 3A 4A 5A
  1052.    wt: 10:   21 sine and cosine Half Angle Formulas
  1053.    wt: 10:   2 Similar Triangles Equality of Corresponding Side Ratios
  1054.    wt: 10:   12 Triangles Similarity More Problems
  1055.    wt: 10:   10 Similarity of Triangles Equivalent of Two Criteria
  1056.    wt: 10:   9 Similarity of Triangles Usual Criteria
  1057.    wt: 10:   5 Similarity of Circles Squares and Rectangles
  1058.    wt: 10:   2 point slope equation for a line
  1059.    wt: 10:   11 Triangle Inequality
  1060.    wt: 10:   PS C Similarity Use Recognize it in Trigonometry
  1061.    wt: 10:   PS A Kite Construction Methods
  1062.    wt: 10:   18 Triangle Similarity Take 1
  1063.    wt: 10:   16 Angles Subtended By Chords and Diameters
  1064.    wt: 10:   15 Triangle Angle Sum is 180 degrees
  1065.    wt: 10:   14 Parallel Lines Postulate
  1066.    wt: 10:   13 Angle Side Angle Failure
  1067.    wt: 10:   2 Correspondence between Triangles
  1068.    wt: 10:   6 Figuring with Maps Not to Scale
  1069.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1070.    wt: 10:   B Decimal Comparison and Subtraction
  1071.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1072.    wt: 10:   5 Areas of Rectangles Revisited
  1073.    wt: 10:   4 Fraction Operations Axiomatic Development
  1074.    wt: 10:   2 Fraction Operations Physical Development
  1075.    wt: 10:   6 Compound Interest Forward and Backwards
  1076.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1077.    wt: 10:   8 Coordinates for Maps and Planes
  1078.    wt: 10:   3 Geometric Formulas and Function Notation
  1079.    wt: 10:   2 Computation Rules Evaluation
  1080.    wt: 10:   1 Formulas Dependence and Function Notation
  1081.    wt: 10:   3 Solving triangular system example
  1082.    wt: 10:   5 Algebraic Solutions Introduction
  1083.    wt: 10:   3 Four Examples
  1084.    wt: 10:   10 One Example
  1085.    wt: 10:   8 One Example
  1086.    wt: 10:   7 Two Examples
  1087.    wt: 10:   4 Two Examples
  1088.    wt: 10:   3 Two Examples
  1089.    wt: 10:   Formula Usage Show Work Format
  1090.    wt: 10:   11 Volume of Sphere
  1091.    wt: 10:   9 Volume of Cone
  1092.    wt: 10:   1 Squares and Square Roots Introduction
  1093.    wt: 10:   11 GCD 2700 288 via Euclid Algorithm
  1094.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14
  1095.    wt: 10:   2 Least Common Multiple LCM intro via list method
  1096.    wt: 10:   12 GCD 2700 288 via Prime
  1097.    wt: 10:   2 Counting with Tables and Trees I
  1098.    wt: 10:   22 Complex Compound Fractions
  1099.    wt: 10:   17 Efficient Ways to Add and Subtract
  1100.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1101.    wt: 10:   14 Adding and Subtracting with Like Denominators
  1102.    wt: 10:   13 Fraction Comparison Algebraic View
  1103.    wt: 10:   12 Fraction Comparison
  1104.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1105.    wt: 10:   6 Multiplication Algebraically Take II
  1106.    wt: 10:   2 Unit Fraction Multiplication
  1107.    wt: 10:   1 What is a fraction
  1108.    wt: 10:   6 Remainder Arithmetic Modulo 5 Propertie
  1109.    wt: 10:   20 Uniqueness of Prime Factorization
  1110.    wt: 10:   18 video Count Factors given Prime Factorization
  1111.    wt: 10:   14 video Factors of 24 Take II
  1112.    wt: 10:   9 video Prime Factorization upto 19 squared
  1113.    wt: 10:   2 Prime and Composites less than 16
  1114.    wt: 10:   1 video how Products are bigger than factor
  1115.    wt: 10:   5 Long Division Include Zeroes or not
  1116.    wt: 10:   10 Names for Big Numbers and Powers of Ten Expansion
  1117.    wt: 10:   9 Comparison and Subtraction of Time Intervals
  1118.    wt: 10:   Example 4 with x function of y
  1119.    wt: 10:   Example 1
  1120.    wt: 10:   33 Chain Rule Real Player video examples
  1121.    wt: 10:   29 Chain Rule Optional Reading
  1122.    wt: 10:   21 Chain Rule for powers
  1123.    wt: 10:   16 Derivatives of reciprocals of sine and cosine
  1124.    wt: 10:   3 Motivation for Limit Definition Take 2
  1125.    wt: 10:   2 Motivation for Limit Definition Take 1
  1126.    wt: 10:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  1127.    wt: 10:   Appendix E. How To Study Mathematics and Why
  1128.    wt: 10:   Chapter 28 Occurrence Tables
  1129.    wt: 10:   Chapter 21. Third Reading Guide
  1130.    wt: 10:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1131.    wt: 10:   Postscript What is a Variable
  1132.    wt: 10:   Chapter 9 Talking about Numbers or Quantities
  1133.    wt: 10:   Chapter 6 Change of Language
  1134.    wt: 10:   Chapter 23 Truth Tables
  1135.    wt: 10:   Chapter 21 Occurrence Tables
  1136.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1137.    wt: 10:   Chapter 11 Accidental Patterns
  1138.    wt: 10:   Chapter 9 What is in Chapters 10 to 18
  1139.    wt: 10:   Chapter 8 Change of Language
  1140.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1141.    wt: 10:   Chapter 8 Skipped Topics and Why
  1142.    wt: 10:   Chapter 1 Arithmetic
  1143.    wt: 10:   1 From Number Recognition and Counting to Arithmetic A
  1144.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1145.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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