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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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78 matches:

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

Web Page Search

490 matches:

  1.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  3.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  4.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  5.    wt: 3:   24 Standards For Skill Develoment Take II
  6.    wt: 3:   24 Standards For Skill Develoment
  7.    wt: 3:   Ages 12 to 14 Skills with take home value
  8.    wt: 3:   Ages 4 plus to 5 plus
  9.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  10.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  12.    wt: 3:   14 cosine even and sine and tangent are odd
  13.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  14.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  15.    wt: 3:   5 Common Divisors 60 45 via Prime
  16.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  17.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  18.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  19.    wt: 3:   I. Logic and language skills
  20.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  21.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  22.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  23.    wt: 2:   Skills Chapter 5 Calculus
  24.    wt: 2:   Skills Chapter 4 Logic
  25.    wt: 2:   5 logarithms and exponentials etc
  26.    wt: 2:   05 13 OldSiteEntrancePage
  27.    wt: 2:   04 25 when to stop or suspend mathemat
  28.    wt: 2:   chapitre 04 06 engagements
  29.    wt: 2:   chapitre 04 05 Implication versus suggestion
  30.    wt: 2:   chapitre 04 04 Parlons de la logique
  31.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  32.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  33.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  34.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  35.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  36.    wt: 2:   17 Math Booklets for children and young teenagers
  37.    wt: 2:   14 Multiplication and Times Tables
  38.    wt: 2:   5 Patience Please for Yourself and Your Charges
  39.    wt: 2:   4 Learning Takes Time and Effort
  40.    wt: 2:   2 Reading and Writing Skills
  41.    wt: 2:   Ages 12 to 14 Geometry
  42.    wt: 2:   Ages 12 to 14 Arithmetic
  43.    wt: 2:   Ages 3 plus to 4 plus
  44.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  45.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  46.    wt: 2:   4 Function notation in and beyond mathematics
  47.    wt: 2:   15 cosecant function Definition Graph and Inverse
  48.    wt: 2:   14 secant function Definition Graph and Inverse
  49.    wt: 2:   15 Dot and Cross Product
  50.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  51.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  52.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  53.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  54.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  55.    wt: 2:   7 Exercises to test skill and concept mastery
  56.    wt: 2:   5 Cartesian Addition and Translation
  57.    wt: 2:   4 Polar Coordinates to and from
  58.    wt: 2:   3 Lengths and Areas on Maps and Plans
  59.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  60.    wt: 2:   2 Combing Counts Addition Skills and Principles
  61.    wt: 2:   4 Fraction Operations Axiomatic Development
  62.    wt: 2:   4 Rates Ratios and Proporitionality
  63.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  64.    wt: 2:   4 Subtraction and Division Axioms
  65.    wt: 2:   2 More and Less Than for Counts and Measures
  66.    wt: 2:   Skill Development Notes
  67.    wt: 2:   1 Written work formats for developing and showing skill
  68.    wt: 2:   5 Talking about Numbers and Quantities
  69.    wt: 2:   4 A Brief Story of numbers and algebra
  70.    wt: 2:   1 More and Less Than for Counts and Measures
  71.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  72.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  73.    wt: 2:   4 LCM of 8 and 10 via Prime
  74.    wt: 2:   5 lengths and signs of numbers
  75.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  76.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  77.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  78.    wt: 2:   14 Adding and Subtracting with Like Denominators
  79.    wt: 2:   5 Zero Movement and Additive Inverses
  80.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  81.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  82.    wt: 2:   5 Remainder Arithmetic Modulo 5
  83.    wt: 2:   14 video Factors of 24 Take II
  84.    wt: 2:   7 Calculator Usage Notes and Cautions
  85.    wt: 2:   5 Prime Factorization and a Square Rule
  86.    wt: 2:   4 Two and Three Digit Multipliers
  87.    wt: 2:   1 Why 3 times 5 gives 15
  88.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  89.    wt: 2:   8 What skills and work habits to require
  90.    wt: 2:   6. Counting and adding units and mixed units
  91.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  92.    wt: 2:   015 School and work day counting tables
  93.    wt: 2:   4 Mixing and Changing Units of Time
  94.    wt: 2:   38 Formulas and derivatives for powers and roots
  95.    wt: 2:   15 sine and cosine derivatives 3rd step
  96.    wt: 2:   14 sine and cosine derivatives 2nd step
  97.    wt: 2:   5 Jumps and absence of unlimited error control
  98.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  99.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  100.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  101.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  102.    wt: 2:   Chapter 12. Shorthand Usage Guide
  103.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  104.    wt: 2:   Chapter 24 Direct and Indirect Reason
  105.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  106.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  107.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  108.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  109.    wt: 2:   Chapter 2 Skill Development
  110.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  111.    wt: 2:   J. More on written work and showing skill
  112.    wt: 2:   G. Written work formats for developing and showing skill
  113.    wt: 2:   How to Build Skills and Confidence
  114.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  115.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  116.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  117.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  118.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  119.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  120.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  121.    wt: 2:   Systematic Algebra Skill Development Missing Links
  122.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  123.    wt: 1:   Appendix 1 primary and preschool mathematic
  124.    wt: 1:   G LAMP Introduction Problem Solving Skills
  125.    wt: 1:   Skills Chapter 3 Algebra
  126.    wt: 1:   Skills Chapter 2 Geometry
  127.    wt: 1:   Skills Chapter 1 Arithmetic
  128.    wt: 1:   Skills Chapter 0 Introduction
  129.    wt: 1:   7 logic review and decimals an odd combination
  130.    wt: 1:   4 algebra
  131.    wt: 1:   Applied Maths Program14092009 POMME variant
  132.    wt: 1:   key notes and themes
  133.    wt: 1:   what should be learnt and When
  134.    wt: 1:   04 29 New Mathematics Curriculum
  135.    wt: 1:   standards for course material
  136.    wt: 1:   Education in mathematics science and technology
  137.    wt: 1:   Motivation and Context Problem
  138.    wt: 1:   fairness and inductive principles for instruction
  139.    wt: 1:   chapitre 05 00 Deception
  140.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  141.    wt: 1:   chapitre 04 09 Regles accidentelles
  142.    wt: 1:   chapitre 04 08 Limitations et benefices
  143.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  144.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  145.    wt: 1:   chapitre 04 02 Deuxieme enigme
  146.    wt: 1:   chapitre 04 01 Premiere enigme
  147.    wt: 1:   chapitre 04 00 Les regles d implication
  148.    wt: 1:   4 Energy Power Heat09
  149.    wt: 1:   E Energy Power05
  150.    wt: 1:   D Energy Power04
  151.    wt: 1:   F Wire Resistance Calculation04
  152.    wt: 1:   Home Tutoring and Home Schooling
  153.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  154.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  155.    wt: 1:   22 Student Centered Highschool Mathematics
  156.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  157.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  158.    wt: 1:   15 Counting For Parents
  159.    wt: 1:   13 Addition and Addition Tables
  160.    wt: 1:   12 Goals and Objectives For Mathematics
  161.    wt: 1:   11 Help and Defend Your Child or Teens Education
  162.    wt: 1:   1 Speaking Skills
  163.    wt: 1:   Ages 10 to 12 Geometry
  164.    wt: 1:   Ages 10 to 12 Arithmetic
  165.    wt: 1:   Ages 9 to 10
  166.    wt: 1:   Ages 8 to 9
  167.    wt: 1:   Ages 7 to 8
  168.    wt: 1:   Ages 6 to 7
  169.    wt: 1:   sign monoticity analysis example 4
  170.    wt: 1:   26 Function definitions done and coming
  171.    wt: 1:   19 Horizontal line rule and method
  172.    wt: 1:   18 Vertical Line Rule and Method
  173.    wt: 1:   17 Function maxima minima and their location
  174.    wt: 1:   15 Sign analysis of functions
  175.    wt: 1:   14 Surjections Injections Bijections
  176.    wt: 1:   11 Function Domain Range Source and Targets
  177.    wt: 1:   8 Set view of relations and functions
  178.    wt: 1:   6 Set Existence Formation and Notation
  179.    wt: 1:   5 Function notation for geometric transformations
  180.    wt: 1:   9 quadratics physical and further context
  181.    wt: 1:   5 quadratics completing the square
  182.    wt: 1:   4 quadratics difference of two squares
  183.    wt: 1:   11 Growth and Decay in Biology
  184.    wt: 1:   10 Exponential Growth and Decay Models
  185.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  186.    wt: 1:   5 Natural Logarithm Calculator Exercises
  187.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  188.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  189.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  190.    wt: 1:   4 Polynomials Long division linear divisor
  191.    wt: 1:   16 cotangent function Definition Graph and Inverse
  192.    wt: 1:   13 cosecant function Definition Graph and Inverse
  193.    wt: 1:   5 Swapping Coordinates is a reflection
  194.    wt: 1:   4 possible motivation for term arccos
  195.    wt: 1:   9 Summary Degrees to Radians and back
  196.    wt: 1:   5 Degrees to Radian Measure
  197.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  198.    wt: 1:   1 Degrees and Radians Introduction
  199.    wt: 1:   A Global Time and Navigation
  200.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  201.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  202.    wt: 1:   5 Head To Tail Arrow Addition
  203.    wt: 1:   4 Resultant of a Sum of Movements
  204.    wt: 1:   Vector and Complex Number Applet
  205.    wt: 1:   4 graphing y=Asin(x c)
  206.    wt: 1:   Parallel Lines and Parallel Transversals
  207.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  208.    wt: 1:   Parallel Lines and Interior Angles
  209.    wt: 1:   14 Straight Lines Equations General Case
  210.    wt: 1:   5 Tangent Function Graph
  211.    wt: 1:   4 Tangent Function Properties
  212.    wt: 1:   29 secant cosecant and cotangent for acute angles
  213.    wt: 1:   27 Logarithmic use of products of sines and cosines
  214.    wt: 1:   26 Formulas for products of sines and cosines
  215.    wt: 1:   25 tangent double angle formula Slope connection
  216.    wt: 1:   24 tangent Angle Difference Formula
  217.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  218.    wt: 1:   21 sine and cosine Half Angle Formulas
  219.    wt: 1:   20 sine and cosine Double Angle Formulas
  220.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  221.    wt: 1:   17E Trig Formulas for dot and cross Products
  222.    wt: 1:   17D cis formulas for sine cosines and tangent
  223.    wt: 1:   17C sine and cosine double triple angle formulas
  224.    wt: 1:   15 sine cosine Complementary Angle Relations
  225.    wt: 1:   10 Graphs of sines and cosines many periods
  226.    wt: 1:   9 Graphs of sine and cosine over one period
  227.    wt: 1:   7 period of sine and cosine
  228.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  229.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  230.    wt: 1:   Unit Circle Development of Trigonometry
  231.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  232.    wt: 1:   21 Logarithms Powers and Exponentials
  233.    wt: 1:   16 References and Originality Question
  234.    wt: 1:   15 Pythagorean Theorem Converse
  235.    wt: 1:   14 Law of cosines
  236.    wt: 1:   13 Trig Formulas for dot and cross Products
  237.    wt: 1:   12 cis formulas for sine cosines and tangent
  238.    wt: 1:   11 sine and cosine double triple angle formulas
  239.    wt: 1:   8 Unit Circle Development of Trigonometry
  240.    wt: 1:   5 An Easy Proof of the Distributive Law
  241.    wt: 1:   4 Multiplication Properties
  242.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  243.    wt: 1:   3 Trigonometric Ratios sine and cosine
  244.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  245.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  246.    wt: 1:   8 Similarity of Triangles and Polygons
  247.    wt: 1:   4 Similarity Definition with Coordinate
  248.    wt: 1:   10 Midpoint of [a b] and [b a]
  249.    wt: 1:   5 Algebraic View of Slopes
  250.    wt: 1:   4 Equations for lines three forms
  251.    wt: 1:   1 Numerical view of lines and their equations
  252.    wt: 1:   What is and is not here
  253.    wt: 1:   6 Polar Multiplication and Rotation
  254.    wt: 1:   16 Angles Subtended By Chords and Diameters
  255.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  256.    wt: 1:   14 Parallel Lines Postulate
  257.    wt: 1:   6 Ruler and compass Angle Bisection
  258.    wt: 1:   5 Side Angle Side
  259.    wt: 1:   4 Side Side Side
  260.    wt: 1:   1 Initial Concepts and Terms
  261.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  262.    wt: 1:   4 Angles on Maps Plans drawn to scale
  263.    wt: 1:   A Modular and Remainder Arithmetic
  264.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  265.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  266.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  267.    wt: 1:   15 Head to Tails in place Addition Associative
  268.    wt: 1:   13 Arrows and Vectors in a Plane
  269.    wt: 1:   11 Signed Number Addition and Addition Properties
  270.    wt: 1:   8 Division and Mulplication of Compound Fractions
  271.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  272.    wt: 1:   4 Location of Point in Decimal Addition
  273.    wt: 1:   B Decimal Comparison and Subtraction
  274.    wt: 1:   5 Distributive Law for Whole Numbers
  275.    wt: 1:   4 Commutative Law Groups Counting Form
  276.    wt: 1:   3 Multiplicative Counting Skills Principles
  277.    wt: 1:   5 Areas of Rectangles Revisited
  278.    wt: 1:   2 Fraction Operations Physical Development
  279.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  280.    wt: 1:   5 Proportionality in Equivalent Fractions
  281.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  282.    wt: 1:   6 Compound Interest Forward and Backwards
  283.    wt: 1:   5 Triangle Area Formula Backwards
  284.    wt: 1:   6 Equations and Systems Equivalent or Implied
  285.    wt: 1:   5 Equality in Algebra
  286.    wt: 1:   2 Addition and Multiplication Axioms
  287.    wt: 1:   5 Greater More Less Than Signs in General
  288.    wt: 1:   4 Comparison of Negative Numbers
  289.    wt: 1:   3 More and Less Than with Unlike Signs
  290.    wt: 1:   15 Real Number Division
  291.    wt: 1:   14 Real Number Multiplication
  292.    wt: 1:   10 Real Number Lengths and Signs
  293.    wt: 1:   8 Coordinates for Maps and Planes
  294.    wt: 1:   5 Rational Numbers More
  295.    wt: 1:   4 Rational Numbers
  296.    wt: 1:   1 Whole and Natural Numbers
  297.    wt: 1:   5 Independent versus Dependent Variables
  298.    wt: 1:   4 Changing Letters
  299.    wt: 1:   3 Geometric Formulas and Function Notation
  300.    wt: 1:   1 Formulas Dependence and Function Notation
  301.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  302.    wt: 1:   4 GE III Animated Examples
  303.    wt: 1:   3 GE III Equation Addition and Multiplication
  304.    wt: 1:   4 Solving a triangular system exercise
  305.    wt: 1:   5 Algebraic Solutions Introduction
  306.    wt: 1:   4 Four Examples Fractional Coefficients
  307.    wt: 1:   1 Proper Equal Sign Usage
  308.    wt: 1:   5 Three Examples
  309.    wt: 1:   4 Two Examples
  310.    wt: 1:   Formula Usage Show Work Format
  311.    wt: 1:   5 Box Volume Formula Example
  312.    wt: 1:   4 Circle Area Formula Example
  313.    wt: 1:   9 Sets in Probability and Statistics
  314.    wt: 1:   5 Product Builder Notation
  315.    wt: 1:   4 Subset Builder Notation
  316.    wt: 1:   1 Three Skills For Algebra
  317.    wt: 1:   4 Greater More Less Than Signs in General
  318.    wt: 1:   2 More and Less Than with Unlike Signs
  319.    wt: 1:   5 Square Roots with primes more still
  320.    wt: 1:   4 Square Roots with primes more
  321.    wt: 1:   1 Squares and Square Roots Introduction
  322.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  323.    wt: 1:   7 GCD and LCM from prime factorization
  324.    wt: 1:   2 Least Common Multiple LCM intro via list method
  325.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  326.    wt: 1:   4 Counting with Trees Product Rule Take I
  327.    wt: 1:   3 Counting with Tables and Trees II
  328.    wt: 1:   2 Counting with Tables and Trees I
  329.    wt: 1:   1 Counting and Counting Methods I
  330.    wt: 1:   11 What are real lengths and numbers
  331.    wt: 1:   7 negative and additive inverse
  332.    wt: 1:   4 signed coordinates for regions in space
  333.    wt: 1:   3 signed coordinates for maps and planes
  334.    wt: 1:   2 signed and unsigned numbers as coordinates
  335.    wt: 1:   4 Fractions with Units
  336.    wt: 1:   3 Multiplying Units and Numbers
  337.    wt: 1:   2 Equality and Units
  338.    wt: 1:   1 Addition and Subtraction with Units
  339.    wt: 1:   B Fractions and Two Term Ratios
  340.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  341.    wt: 1:   21 Reciprocals for Fractions and Wholes
  342.    wt: 1:   17 Efficient Ways to Add and Subtract
  343.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  344.    wt: 1:   9 Improper Fractions and Mixed Numbers
  345.    wt: 1:   5 Equivalent Fractions
  346.    wt: 1:   4 Fraction Multiplication
  347.    wt: 1:   11 Adding Integers Formulas and Examples
  348.    wt: 1:   4 Adding Movements wiht opposite directions
  349.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  350.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  351.    wt: 1:   26 Divisibility by 2 3 5 Example
  352.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  353.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  354.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  355.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  356.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  357.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  358.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  359.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  360.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  361.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  362.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  363.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  364.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  365.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  366.    wt: 1:   17 Identify and Count Factors using Primes
  367.    wt: 1:   15 video Factors of 20 using Prime Factorization
  368.    wt: 1:   13 video Factors of 24 using prime
  369.    wt: 1:   12 LCD GCD and LCM using Primes
  370.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  371.    wt: 1:   4 video Prime Factorization Introduction
  372.    wt: 1:   3 video Primes and Composites from 9 times table
  373.    wt: 1:   2 Prime and Composites less than 16
  374.    wt: 1:   Division with Counts and Length
  375.    wt: 1:   Long Division forwards and backwards Example 3
  376.    wt: 1:   Long Division forwards and backwards Example 2
  377.    wt: 1:   Long Division forwards and backwards Example 1
  378.    wt: 1:   10 Division by Five Long and Short Ways
  379.    wt: 1:   5 Long Division Include Zeroes or not
  380.    wt: 1:   4 Division with 2 Digit Divsors
  381.    wt: 1:   5 Decimal Fraction Multiplication
  382.    wt: 1:   5 A Tip for Efficent Subtraction
  383.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  384.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  385.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  386.    wt: 1:   5. How to add decimals C. Examples
  387.    wt: 1:   4. How to add with decimals B with conversions
  388.    wt: 1:   11 Place Value SI Standard International way
  389.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  390.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  391.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  392.    wt: 1:   Quick history of numbers and algebra
  393.    wt: 1:   Exact Arithmetic Wholes and Fractions
  394.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  395.    wt: 1:   014 Counting Days with Calendars
  396.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  397.    wt: 1:   5 Conversion Arithmetic
  398.    wt: 1:   3 Units and Lengths of Time
  399.    wt: 1:   2 Time and Date Matters in School
  400.    wt: 1:   1 Intro of Kids To Time Date Skills
  401.    wt: 1:   Example 1. Area Between x and x squared
  402.    wt: 1:   Example 4 with x function of y
  403.    wt: 1:   5 Area Under Curve Exercise
  404.    wt: 1:   4 Definite Integrals Evaluation Exercises
  405.    wt: 1:   4 Second derivative test exercise example
  406.    wt: 1:   34 Derivative of exponential function
  407.    wt: 1:   25 Chain Rule Animated Examples Continued
  408.    wt: 1:   24 Chain Rule Animated Examples
  409.    wt: 1:   17 Derivatives of quotients of sine and cosine
  410.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  411.    wt: 1:   13 sine and cosine derivatives 1st step
  412.    wt: 1:   5 Product Rule
  413.    wt: 1:   4 Sum Rule
  414.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  415.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  416.    wt: 1:   9 Limits Continuity and Composition
  417.    wt: 1:   4 Numerical properties
  418.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  419.    wt: 1:   G.5 Motions With Bounded Velocities
  420.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  421.    wt: 1:   F.5b Extreme Value Theorem
  422.    wt: 1:   F.5a Equicontinuity Theorems
  423.    wt: 1:   F.4 Finite Covering Theorem
  424.    wt: 1:   PostScript For and Against Decimal Perspectives
  425.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  426.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  427.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  428.    wt: 1:   Chapter 15. Slope Approximation
  429.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  430.    wt: 1:   Chapter 12. Units and Slopes
  431.    wt: 1:   Chapter 10 Slopes and Units
  432.    wt: 1:   Chapter 7 Slopes and Velocity
  433.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  434.    wt: 1:   Chapter 5. Slope Sign Tests
  435.    wt: 1:   Chapter 4. More Slope Sign Analysis
  436.    wt: 1:   Chapter 2. Slopes and Ski Trails
  437.    wt: 1:   Appendix E. How To Study Mathematics and Why
  438.    wt: 1:   Appendix D. What to do in School and Why
  439.    wt: 1:   Chapter 31 Direct and Indirect Reason
  440.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  441.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  442.    wt: 1:   Chapter 25. Mathematical Induction Examples
  443.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  444.    wt: 1:   Chapter 20. Degrees and Radians
  445.    wt: 1:   Chapter 19. Functions and Sets
  446.    wt: 1:   Chapter 15. Solving Linear Equations
  447.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  448.    wt: 1:   Chapter 11. Why Shorthand
  449.    wt: 1:   Chapter 10 Describing and Changing Calculations
  450.    wt: 1:   Chapter 8 Three Skills For Algebra
  451.    wt: 1:   Chapter 6 Change of Language
  452.    wt: 1:   Chapter 4 Longer Chains of Reason
  453.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  454.    wt: 1:   Chapter 5 Four References
  455.    wt: 1:   Chapter 2 For and Against Mathematics
  456.    wt: 1:   Postscript B More on Story Telling and Reason
  457.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  458.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  459.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  460.    wt: 1:   Chapter 18 Sense and Knowledge
  461.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  462.    wt: 1:   Chapter 15 Objective Processes
  463.    wt: 1:   Chapter 8 Change of Language
  464.    wt: 1:   Chapter 5 Deception
  465.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  466.    wt: 1:   R Why Learn Mathematics Skills
  467.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  468.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  469.    wt: 1:   O On Learning Mathematics and Science
  470.    wt: 1:   L Skills with take home value
  471.    wt: 1:   N Improving Marks on Tests and Finals
  472.    wt: 1:   H Jigsaw puzzles and problem solving
  473.    wt: 1:   E. When and how to correct errors
  474.    wt: 1:   D. Check work a must with a caution
  475.    wt: 1:   A. Skill has to be seen to believed
  476.    wt: 1:   Chapter 8 Skipped Topics and Why
  477.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  478.    wt: 1:   Chapter 6 More Algebra and Geometry
  479.    wt: 1:   7 Games and Activities for Instruction
  480.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  481.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  482.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  483.    wt: 1:   Helping the Blind in Logic and Mathematics
  484.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  485.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  486.    wt: 1:   More Algebra and Slope based Calculus Preview
  487.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  488.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  489.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  490.    wt: 1:   The Math Forum and Site Content

Extended Search

1070 matches:

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

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

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