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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70 matches:

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

Web Page Search

891 matches:

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

Extended Search

1102 matches:

  1.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  2.    wt: 9:   9 Summary Degrees to Radians and back
  3.    wt: 9:   1 Degrees and Radians Introduction
  4.    wt: 9:   2 Algebraic View
  5.    wt: 9:   9 Circle Area and Perimeter Formula Backwards Forwards
  6.    wt: 9:   6 Compound Interest Forward and Backwards
  7.    wt: 9:   2 More and Less Than for Counts and Measures
  8.    wt: 9:   2 Three Examples
  9.    wt: 9:   13 Naming Identifying Formulas with Words
  10.    wt: 9:   12 Cone Cylinder Sphere Lesson Idea
  11.    wt: 9:   7 Compound Interest Formula Introduction
  12.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  13.    wt: 9:   14 GCD of 650 110 via Primes LCM via Product Rule
  14.    wt: 9:   7 GCD and LCM from prime factorization
  15.    wt: 9:   4 LCM of 8 and 10 via Prime
  16.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  17.    wt: 9:   2 Least Common Multiple LCM intro via list method
  18.    wt: 9:   2 signed and unsigned numbers as coordinates
  19.    wt: 9:   A Decimals Modular and Remainder Arithmetic
  20.    wt: 9:   26 Divisibility by 2 3 5 Example
  21.    wt: 9:   21 Remainder Arithmetic Modulo 3
  22.    wt: 9:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  23.    wt: 9:   18 Remainder Arithmetic Rule of 9 for checking sums II
  24.    wt: 9:   16 Remainder Arithmetic Modulo 9 Example 2
  25.    wt: 9:   12 Remainder Arithmetic Modulo 10 Example
  26.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  27.    wt: 9:   5 Remainder Arithmetic Modulo 5
  28.    wt: 9:   4 Remainder Arithmetic Modulo 10 in general
  29.    wt: 9:   1 Remainder Arithmetic Modulo 10
  30.    wt: 9:   8 Correcting the Mistake
  31.    wt: 9:   A Elementary Basis for Multiplication Methods
  32.    wt: 9:   3 More One Digit Multipliers
  33.    wt: 9:   8 Subtraction with Units of Measure
  34.    wt: 9:   6 Subtraction with Conversion Example with Exercises
  35.    wt: 9:   2 Groups of Three Place Value for Multidigit Decimals
  36.    wt: 9:   Appendix E. How To Study Mathematics and Why
  37.    wt: 9:   Chapter 31 Direct and Indirect Reason
  38.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  39.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  40.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  41.    wt: 9:   Chapter 25. Mathematical Induction Examples
  42.    wt: 9:   Chapter 24. Personal Investment and Pension EGS
  43.    wt: 9:   Chapter 23. Notation For Sums
  44.    wt: 9:   Chapter 13. Second Reading Guide
  45.    wt: 8:   2 Radian Measure Numerical Value of one degree
  46.    wt: 8:   PS D Addition with Cartesian Coordinates
  47.    wt: 8:   16 Angles Subtended By Chords and Diameters
  48.    wt: 8:   A Decimal Addition Columm Methods
  49.    wt: 8:   5 Algebraic Solutions Introduction
  50.    wt: 8:   8 Compound Interest Formula Evaluation
  51.    wt: 8:   2 Another Rectangle Area Formula Example
  52.    wt: 8:   4 Greater More Less Than Signs in General
  53.    wt: 8:   13 GCD from given Prime Factorization
  54.    wt: 8:   6 GCD from Prime
  55.    wt: 8:   5 Common Divisors 60 45 via Prime
  56.    wt: 8:   1 Least Common Multiples LCM Introduction
  57.    wt: 8:   3 signed coordinates for maps and planes
  58.    wt: 8:   19 Remainder Arithmetic Rule of 9 for checking sums III
  59.    wt: 8:   17 Remainder Arithmetic Rule of 9 for checking sums I
  60.    wt: 8:   15 Remainder Arithmetic Modulo 9 Example
  61.    wt: 8:   14 Remainder Arithmetic Modulo 9 Example
  62.    wt: 8:   13 Remainder Arithmetic Modulo 5 Example
  63.    wt: 8:   10 Remainder Arithmetic Long Division by 5 Quickly
  64.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  65.    wt: 8:   8 Remainder Arithmetic Morulo 5 Examples II
  66.    wt: 8:   7 Remainder Arithmetic Modulo 5 Examples I
  67.    wt: 8:   6 Remainder Arithmetic Modulo 5 Propertie
  68.    wt: 8:   12 LCD GCD and LCM using Primes
  69.    wt: 8:   6 Multiplication Commutes Order Not Important
  70.    wt: 8:   5 Decimal Fraction Multiplication
  71.    wt: 8:   9 Place Value Review Decimal form of Avogrados number included
  72.    wt: 8:   G.2 Lipshitz Conditions Integration Calculus Reform
  73.    wt: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  74.    wt: 8:   Postscript More on Better Performance
  75.    wt: 8:   Postscript For Better Performance
  76.    wt: 8:   Appendix C. How to Read
  77.    wt: 8:   Appendix B. How To Learn
  78.    wt: 8:   Chapter 28 Occurrence Tables
  79.    wt: 8:   Chapter 18. Rules for Algebra
  80.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  81.    wt: 8:   Chapter 10 Describing and Changing Calculations
  82.    wt: 8:   Chapter 1 Introduction to Chapters 2 to 6
  83.    wt: 8:   Foreword
  84.    wt: 8:   Postscript D Reflections on Law of the Excluded Middle
  85.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  86.    wt: 8:   V Reasons and Motivations for Logic and Mathematics
  87.    wt: 7:   7 logic review and decimals an odd combination
  88.    wt: 7:   27 Graduated Correction and Penalties for Young Offenders
  89.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take IV
  90.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  91.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take II
  92.    wt: 7:   23 Modularized Skill Development Modularized Rigor
  93.    wt: 7:   26 Function definitions done and coming
  94.    wt: 7:   10 Exponential Growth and Decay Models
  95.    wt: 7:   7 Formulas for Roots with Logarithms Derivation
  96.    wt: 7:   6 Radian Measure to Degrees
  97.    wt: 7:   5 Degrees to Radian Measure
  98.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  99.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  100.    wt: 7:   PS G Rotation Distributes over Addition
  101.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  102.    wt: 7:   12 Side Angle Side Failure
  103.    wt: 7:   21 Addition of Multiples of a Single Vector
  104.    wt: 7:   15 Head to Tails in place Addition Associative
  105.    wt: 7:   12 Real Numbers Line Signed Coordinates
  106.    wt: 7:   E Long Division Methods more
  107.    wt: 7:   D Long Division Methods
  108.    wt: 7:   C Three Decimal Subtraction Methods
  109.    wt: 7:   6 Column Methods for Decimal Multiplication
  110.    wt: 7:   1 Decimals Modular and Remainder Arithmetic
  111.    wt: 7:   4 Rates Ratios and Proporitionality
  112.    wt: 7:   8 Pythagorean Relation Forwards Backwards
  113.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  114.    wt: 7:   2 Addition and Multiplication Axioms
  115.    wt: 7:   5 Independent versus Dependent Variables
  116.    wt: 7:   1 Formulas Dependence and Function Notation
  117.    wt: 7:   2 Essentially one exercises three with solution
  118.    wt: 7:   6 Algebraic Solution Example
  119.    wt: 7:   2 Three Examples
  120.    wt: 7:   10 Volume of Pyramid
  121.    wt: 7:   5 Box Volume Formula Example
  122.    wt: 7:   4 Circle Area Formula Example
  123.    wt: 7:   3 Triangle Area Formula Example
  124.    wt: 7:   3 Comparison of Negative Numbers
  125.    wt: 7:   2 Counting with Tables and Trees I
  126.    wt: 7:   1 Counting and Counting Methods I
  127.    wt: 7:   22 Complex Compound Fractions
  128.    wt: 7:   21 Reciprocals for Fractions and Wholes
  129.    wt: 7:   20 Dividing Fractions the Why
  130.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  131.    wt: 7:   14 Adding and Subtracting with Like Denominators
  132.    wt: 7:   12 Adding Integers More Examples
  133.    wt: 7:   10 video Prime Factorization upto 23 squared
  134.    wt: 7:   C Counting Areas with Powers of Ten
  135.    wt: 7:   B Powers of Ten
  136.    wt: 7:   1 Why 3 times 5 gives 15
  137.    wt: 7:   Example 1. Area Between x and x squared
  138.    wt: 7:   38 Formulas and derivatives for powers and roots
  139.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  140.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  141.    wt: 7:   Chapter 19. Functions and Sets
  142.    wt: 7:   Chapter 11. Why Shorthand
  143.    wt: 7:   Solutions For Arithmetic Exercises
  144.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  145.    wt: 7:   Chapter 24 Direct and Indirect Reason
  146.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  147.    wt: 7:   S Adding words to algebra
  148.    wt: 7:   G. Written work formats for developing and showing skill
  149.    wt: 7:   How to Build Skills and Confidence
  150.    wt: 7:   2 Identifying Size and Position Place and Spatial Sense
  151.    wt: 6:   2 arithmetic with signed numbers
  152.    wt: 6:   three goals for Mathematics Education
  153.    wt: 6:   02 21 words for teachers
  154.    wt: 6:   2 Conductance Resistance Duality02
  155.    wt: 6:   24 Standards For Skill Develoment Take II
  156.    wt: 6:   24 Standards For Skill Develoment
  157.    wt: 6:   22 Student Centered Highschool Mathematics
  158.    wt: 6:   22 Square Root function graphically
  159.    wt: 6:   8 quadratics backward use of various formulas
  160.    wt: 6:   7 quadratic formulla derivation
  161.    wt: 6:   11 Growth and Decay in Biology
  162.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  163.    wt: 6:   8 Formulas for Fractional Exponents with Logarithms
  164.    wt: 6:   2 Square Root Simplification a prequel
  165.    wt: 6:   8 Radian Measures of Common Angles
  166.    wt: 6:   7 Radian Measures in special Triangles
  167.    wt: 6:   7 Tangent Function is odd on this domain
  168.    wt: 6:   26 Formulas for products of sines and cosines
  169.    wt: 6:   PS H Distributive Law For Complex Numbers
  170.    wt: 6:   PS B Parallelogram Construction Methods
  171.    wt: 6:   4 Side Side Side
  172.    wt: 6:   2 Correspondence between Triangles
  173.    wt: 6:   A Modular and Remainder Arithmetic
  174.    wt: 6:   23 Distributive Law Two Derivations
  175.    wt: 6:   22 Multiplication of Signed Numbers
  176.    wt: 6:   18 Geometrically Why Vector Addition Commutes
  177.    wt: 6:   14 Vector Head to Tail Sums and Resultants
  178.    wt: 6:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  179.    wt: 6:   9 Division with Digits after Decimal Point
  180.    wt: 6:   8 Division and Mulplication of Compound Fractions
  181.    wt: 6:   4 Location of Point in Decimal Addition
  182.    wt: 6:   2 Counting Digits in Decimal Multiplication
  183.    wt: 6:   B Decimal Comparison and Subtraction
  184.    wt: 6:   7 Decimals Multiplication Methods Examples
  185.    wt: 6:   5 Distributive Law for Whole Numbers
  186.    wt: 6:   5 Proportionality in Equivalent Fractions
  187.    wt: 6:   3 Proportionality Examples
  188.    wt: 6:   1 What is Proportionality
  189.    wt: 6:   5 Triangle Area Formula Backwards
  190.    wt: 6:   3 More and Less Than with Unlike Signs
  191.    wt: 6:   12 Real Number Additive Inverses or Negatives
  192.    wt: 6:   4 Four Examples Fractional Coefficients
  193.    wt: 6:   3 Four Examples
  194.    wt: 6:   1 Proper Equal Sign Usage
  195.    wt: 6:   11 Volume of Sphere
  196.    wt: 6:   9 Volume of Cone
  197.    wt: 6:   6 Pythagorean Hypotenuse Calculation Example
  198.    wt: 6:   1 Three Skills For Algebra
  199.    wt: 6:   1 Squares and Square Roots Introduction
  200.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  201.    wt: 6:   4 Counting with Trees Product Rule Take I
  202.    wt: 6:   3 Counting with Tables and Trees II
  203.    wt: 6:   10 dividing signed numbers
  204.    wt: 6:   7 negative and additive inverse
  205.    wt: 6:   6 adding signed numbers
  206.    wt: 6:   4 signed coordinates for regions in space
  207.    wt: 6:   5 Reciprocals and Division for Fractions with Units
  208.    wt: 6:   1 Addition and Subtraction with Units
  209.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  210.    wt: 6:   19 Dividing Fractions How TO
  211.    wt: 6:   17 Efficient Ways to Add and Subtract
  212.    wt: 6:   16 Addition Subtraction Comparision Compared
  213.    wt: 6:   D Remainders Modulo 11 Pair Rule
  214.    wt: 6:   13 Subtraction with Additive Inverse
  215.    wt: 6:   11 Adding Integers Formulas and Examples
  216.    wt: 6:   15 video Factors of 20 using Prime Factorization
  217.    wt: 6:   14 video Factors of 24 Take II
  218.    wt: 6:   13 video Factors of 24 using prime
  219.    wt: 6:   9 video Prime Factorization upto 19 squared
  220.    wt: 6:   4 video Prime Factorization Introduction
  221.    wt: 6:   3 video Primes and Composites from 9 times table
  222.    wt: 6:   2 Prime and Composites less than 16
  223.    wt: 6:   1 video how Products are bigger than factor
  224.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  225.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  226.    wt: 6:   14 sine and cosine derivatives 2nd step
  227.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  228.    wt: 6:   PostScript For and Against Decimal Perspectives
  229.    wt: 6:   Chapter 30 Truth Tables
  230.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  231.    wt: 6:   Chapter 16. Painless Theorem Proving
  232.    wt: 6:   Chapter 15. Solving Linear Equations
  233.    wt: 6:   Postscript What is a Variable
  234.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  235.    wt: 6:   Chapter 6 Change of Language
  236.    wt: 6:   Chapter 4 Longer Chains of Reason
  237.    wt: 6:   Chapter 3 Chains of Reason
  238.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  239.    wt: 6:   Primary and Secondary Skills and Practices with Take Home Value
  240.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  241.    wt: 6:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  242.    wt: 5:   B LAMP Introduction Curriculum Development Standards
  243.    wt: 5:   Lessening Algebra Difficulties
  244.    wt: 5:   02 20 mathematics education references
  245.    wt: 5:   three aims for mathematics students
  246.    wt: 5:   Prequel In For A Penny In For A Pound
  247.    wt: 5:   fairness and inductive principles for instruction
  248.    wt: 5:   13 Addition and Addition Tables
  249.    wt: 5:   11 Help and Defend Your Child or Teens Education
  250.    wt: 5:   2 Reading and Writing Skills
  251.    wt: 5:   sign monoticity analysis example 2
  252.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  253.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  254.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  255.    wt: 5:   20 Interchanging coordinates a reflection
  256.    wt: 5:   12 Function Domain Recognition Exercises
  257.    wt: 5:   2 Algebraic use of function notation
  258.    wt: 5:   Introduction Reading Guide
  259.    wt: 5:   9 quadratics physical and further context
  260.    wt: 5:   4 quadratics difference of two squares
  261.    wt: 5:   2 quadratics graphing in general
  262.    wt: 5:   3 Natural Logarithms and Exponentials Basic Properties
  263.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  264.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  265.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  266.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  267.    wt: 5:   17E Trig Formulas for dot and cross Products
  268.    wt: 5:   13 Trig Formulas for dot and cross Products
  269.    wt: 5:   12 cis formulas for sine cosines and tangent
  270.    wt: 5:   12 Spatial Coordinates
  271.    wt: 5:   5 Cartesian Addition and Translation
  272.    wt: 5:   2 Cartesian Coordinates with signs
  273.    wt: 5:   PS E Multiplication with Polar Coordinates
  274.    wt: 5:   PS A Kite Construction Methods
  275.    wt: 5:   21 Parallelograms
  276.    wt: 5:   10 Dropping a perpendicular to line
  277.    wt: 5:   5 Side Angle Side
  278.    wt: 5:   26 More Less Greater Than Comparison
  279.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  280.    wt: 5:   24 Signed Numbers Arithmmetic Properties
  281.    wt: 5:   19 Signed Multiples of Vectors
  282.    wt: 5:   17 Arrows Rotate to Reverse with Length Unchanged
  283.    wt: 5:   13 Arrows and Vectors in a Plane
  284.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  285.    wt: 5:   8 Column Multiplication Methods in General
  286.    wt: 5:   4 Commutative Law Groups Counting Form
  287.    wt: 5:   3 Multiplicative Counting Skills Principles
  288.    wt: 5:   2 Fraction Operations Physical Development
  289.    wt: 5:   3 Linear Equation Literal Solution More
  290.    wt: 5:   2 Linear Equation Literal Solution
  291.    wt: 5:   6 Equations and Systems Equivalent or Implied
  292.    wt: 5:   4 Subtraction and Division Axioms
  293.    wt: 5:   3 Product Axioms Two Forms
  294.    wt: 5:   5 Greater More Less Than Signs in General
  295.    wt: 5:   11 Real Number Addition
  296.    wt: 5:   8 Coordinates for Maps and Planes
  297.    wt: 5:   3 Geometric Formulas and Function Notation
  298.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  299.    wt: 5:   3 GE III Equation Addition and Multiplication
  300.    wt: 5:   Skill Development Notes
  301.    wt: 5:   9 Three Examples
  302.    wt: 5:   6 Three Examples
  303.    wt: 5:   5 Three Examples
  304.    wt: 5:   3 Adding Words To Arithmetic
  305.    wt: 5:   5 Square Roots with primes more still
  306.    wt: 5:   4 Square Roots with primes more
  307.    wt: 5:   2 Square Roots with Prime
  308.    wt: 5:   2 Equality and Units
  309.    wt: 5:   D Three Term Ratios
  310.    wt: 5:   21 Working With Signs
  311.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  312.    wt: 5:   9 Improper Fractions and Mixed Numbers
  313.    wt: 5:   2 Unit Fraction Multiplication
  314.    wt: 5:   5 Zero Movement and Additive Inverses
  315.    wt: 5:   4 Adding Movements wiht opposite directions
  316.    wt: 5:   3 Adding Movements with same direction
  317.    wt: 5:   20 Uniqueness of Prime Factorization
  318.    wt: 5:   19 video Prime Factorization Unique
  319.    wt: 5:   18 video Count Factors given Prime Factorization
  320.    wt: 5:   17 Identify and Count Factors using Primes
  321.    wt: 5:   16 video Factors of 980 using prime
  322.    wt: 5:   8 video Prime Factorization upto 19
  323.    wt: 5:   11 Place Value SI Standard International way
  324.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  325.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  326.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  327.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  328.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  329.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  330.    wt: 5:   016 Numbering Occidental Calendar Days
  331.    wt: 5:   010 Repeated Addition of Time Intervals
  332.    wt: 5:   2 Time and Date Matters in School
  333.    wt: 5:   1 Intro of Kids To Time Date Skills
  334.    wt: 5:   Example 2 volume of a cone
  335.    wt: 5:   Example 1 volume of a pyramid
  336.    wt: 5:   Volume of Solid by Cross Sections Lesson
  337.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  338.    wt: 5:   Example 3
  339.    wt: 5:   Example 2
  340.    wt: 5:   Area Between Curves Lesson Take 2
  341.    wt: 5:   25 Chain Rule Animated Examples Continued
  342.    wt: 5:   22 Chain Rule for polynomials
  343.    wt: 5:   21 Chain Rule for powers
  344.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  345.    wt: 5:   15 sine and cosine derivatives 3rd step
  346.    wt: 5:   7 Animated Differentiation Examples
  347.    wt: 5:   3 Motivation for Limit Definition Take 2
  348.    wt: 5:   2 Motivation for Limit Definition Take 1
  349.    wt: 5:   2 Algebraic codification
  350.    wt: 5:   G.1 First Fundamental Theorem of Calculus
  351.    wt: 5:   G.5 Motions With Bounded Velocities
  352.    wt: 5:   G.2 Differentiable Functions Mean Value Theorem
  353.    wt: 5:   F.2 Closed Range Theorem
  354.    wt: 5:   E2 Algebraic Properties of Limits
  355.    wt: 5:   D2 Limits of Monotone Sequences
  356.    wt: 5:   Chapter 2 For and Against Mathematics
  357.    wt: 5:   Postscript B More on Story Telling and Reason
  358.    wt: 5:   Chapter 20 Shorthand Symbols as Pronouns
  359.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  360.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  361.    wt: 5:   Chapter 2 Skill Development
  362.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  363.    wt: 5:   N Mathematics Prepare for College Studies
  364.    wt: 5:   M Words to extend arithmetic
  365.    wt: 5:   L Skills with take home value
  366.    wt: 5:   J. More on written work and showing skill
  367.    wt: 5:   I. Logic and language skills
  368.    wt: 5:   F. The student teacher tutor feedback loop
  369.    wt: 5:   B. Domino effect of errors
  370.    wt: 5:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  371.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  372.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  373.    wt: 5:   More Algebra and Slope based Calculus Preview
  374.    wt: 4:   Skills Chapter 2 Geometry
  375.    wt: 4:   5 logarithms and exponentials etc
  376.    wt: 4:   4 algebra
  377.    wt: 4:   3 Euclidean Geometry Leanly
  378.    wt: 4:   1 arithmetic with unsigned numbers
  379.    wt: 4:   three goals to set for students
  380.    wt: 4:   Applied Maths Program14092009 POMME variant
  381.    wt: 4:   five decades make a difference
  382.    wt: 4:   Secondary Three Mathematics
  383.    wt: 4:   three difficulties
  384.    wt: 4:   geometric implications for algebra
  385.    wt: 4:   the trouble with algebra
  386.    wt: 4:   04 25 when to stop or suspend mathemat
  387.    wt: 4:   standards for course material
  388.    wt: 4:   three kinds of reason in mathematics
  389.    wt: 4:   need for a mixed mathematics curriculum
  390.    wt: 4:   chapitre 02 00 La Communication des idees
  391.    wt: 4:   B Energy Power02
  392.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  393.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  394.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  395.    wt: 4:   12 Goals and Objectives For Mathematics
  396.    wt: 4:   Ages 12 to 14 Skills with take home value
  397.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  398.    wt: 4:   23 Inverse Functions
  399.    wt: 4:   19 Horizontal line rule and method
  400.    wt: 4:   18 Vertical Line Rule and Method
  401.    wt: 4:   11 Function Domain Range Source and Targets
  402.    wt: 4:   6 Set Existence Formation and Notation
  403.    wt: 4:   5 Function notation for geometric transformations
  404.    wt: 4:   4 Function notation in and beyond mathematics
  405.    wt: 4:   A Quadratics Summary
  406.    wt: 4:   10 quadratic exercises
  407.    wt: 4:   6 quadratics numerical approach
  408.    wt: 4:   5 quadratics completing the square
  409.    wt: 4:   3 quadratics factoring by inspection
  410.    wt: 4:   1 quadratics graphing exercises
  411.    wt: 4:   Quadratics in 10 steps
  412.    wt: 4:   5 Natural Logarithm Calculator Exercises
  413.    wt: 4:   1 Calculator Starter Exercises
  414.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  415.    wt: 4:   4 Polynomials Long division linear divisor
  416.    wt: 4:   3 Polynomials Multiplication Addition
  417.    wt: 4:   2 Column Multiplication Method
  418.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  419.    wt: 4:   2 Signed Coordinates
  420.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  421.    wt: 4:   Straight Lines ASA Intersection Study More
  422.    wt: 4:   C Straight Lines Slope from Coordinates
  423.    wt: 4:   B Straight Line Slope Scaling Properties More
  424.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  425.    wt: 4:   8 Straight Lines Equation for vertical
  426.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  427.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  428.    wt: 4:   29 secant cosecant and cotangent for acute angles
  429.    wt: 4:   27 Logarithmic use of products of sines and cosines
  430.    wt: 4:   25 tangent double angle formula Slope connection
  431.    wt: 4:   24 tangent Angle Difference Formula
  432.    wt: 4:   21 sine and cosine Half Angle Formulas
  433.    wt: 4:   20 sine and cosine Double Angle Formulas
  434.    wt: 4:   17D cis formulas for sine cosines and tangent
  435.    wt: 4:   14 cosine even and sine and tangent are odd
  436.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  437.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  438.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  439.    wt: 4:   4 Equations for lines three forms
  440.    wt: 4:   3 Slope product for perpendicular lines
  441.    wt: 4:   2 point slope equation for a line
  442.    wt: 4:   13 Pythagorean spatial distance formulas
  443.    wt: 4:   10 Pythagorean plane distance formula
  444.    wt: 4:   4 Polar Coordinates to and from
  445.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  446.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  447.    wt: 4:   17 Right Bisectors of Triangle Sides
  448.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  449.    wt: 4:   13 Angle Side Angle Failure
  450.    wt: 4:   7 Angle Side Angle
  451.    wt: 4:   6 Ruler and compass Angle Bisection
  452.    wt: 4:   1 Initial Concepts and Terms
  453.    wt: 4:   Short Course on Euclidean Geometry
  454.    wt: 4:   musings do not puiblish real numbers
  455.    wt: 4:   A Signed Number Arithmetic Review
  456.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  457.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  458.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  459.    wt: 4:   3 Location of Point in Decimal Multiplication
  460.    wt: 4:   1 Fractions with Finite Decimal Expansions
  461.    wt: 4:   1 The Counting Origins of Numbers
  462.    wt: 4:   5 Areas of Rectangles Revisited
  463.    wt: 4:   4 Fraction Operations Axiomatic Development
  464.    wt: 4:   3 Inequalities Algebraically
  465.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  466.    wt: 4:   1 Changing Calculations
  467.    wt: 4:   5 Equality in Algebra
  468.    wt: 4:   4 Comparison of Negative Numbers
  469.    wt: 4:   1 Real Numbers Comparison
  470.    wt: 4:   15 Real Number Division
  471.    wt: 4:   10 Real Number Lengths and Signs
  472.    wt: 4:   9 Coordinates for Regions in Space
  473.    wt: 4:   2 Computation Rules Evaluation
  474.    wt: 4:   2 GE II Comparison
  475.    wt: 4:   4 Solving a triangular system exercise
  476.    wt: 4:   3 Solving triangular system example
  477.    wt: 4:   1 Essentially One Unknown
  478.    wt: 4:   10 One Example
  479.    wt: 4:   8 One Example
  480.    wt: 4:   7 Two Examples
  481.    wt: 4:   4 Two Examples
  482.    wt: 4:   3 Two Examples
  483.    wt: 4:   Formula Usage Show Work Format
  484.    wt: 4:   5 Product Builder Notation
  485.    wt: 4:   2 Venn Diagrams
  486.    wt: 4:   4 A Brief Story of numbers and algebra
  487.    wt: 4:   arithmetic videos Real Player Format
  488.    wt: 4:   3 Properties of Square Roots with example
  489.    wt: 4:   11 What are real lengths and numbers
  490.    wt: 4:   9 subtracting signed numbers
  491.    wt: 4:   8 multiplying signed numbers
  492.    wt: 4:   5 lengths and signs of numbers
  493.    wt: 4:   3 Multiplying Units and Numbers
  494.    wt: 4:   B Fractions and Two Term Ratios
  495.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  496.    wt: 4:   13 Fraction Comparison Algebraic View
  497.    wt: 4:   12 Fraction Comparison
  498.    wt: 4:   11 Simplification an Algebraic View
  499.    wt: 4:   6 Multiplication of Mixed Numbers
  500.    wt: 4:   6 Multiplication Algebraically Take II
  501.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  502.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  503.    wt: 4:   7 Calculator Usage Notes and Cautions
  504.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  505.    wt: 4:   5 Prime Factorization and a Square Rule
  506.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  507.    wt: 4:   Quick history of numbers and algebra
  508.    wt: 4:   Formula Evaluation how to show work
  509.    wt: 4:   The 20 Times Table
  510.    wt: 4:   015 School and work day counting tables
  511.    wt: 4:   014 Counting Days with Calendars
  512.    wt: 4:   012 Division of Time Intervals by Time Intervals
  513.    wt: 4:   8 Addition of Time Intervals via subtotaling
  514.    wt: 4:   7 Addition of Time Intervals
  515.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  516.    wt: 4:   Example 4 with x function of y
  517.    wt: 4:   Example 1
  518.    wt: 4:   Area Between Curves Lesson Take 1
  519.    wt: 4:   2 Second derivative test prequel
  520.    wt: 4:   A Chain Rule Real Player video examples
  521.    wt: 4:   36 Cube root derivative animated
  522.    wt: 4:   29 Chain Rule Optional Reading
  523.    wt: 4:   28 Chain Rule Preparation for a Proof
  524.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  525.    wt: 4:   24 Chain Rule Animated Examples
  526.    wt: 4:   20 Chain Rule for Pulley Systems
  527.    wt: 4:   17 Derivatives of quotients of sine and cosine
  528.    wt: 4:   13 sine and cosine derivatives 1st step
  529.    wt: 4:   10 Power rule for negative integers
  530.    wt: 4:   8 Differentiation of polynomials
  531.    wt: 4:   6 Power rule from product rule
  532.    wt: 4:   5 Product Rule
  533.    wt: 4:   4 Sum Rule
  534.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  535.    wt: 4:   10 Three one sided limits with infinite values
  536.    wt: 4:   7 Evaluation by immediate or delayed substitution
  537.    wt: 4:   3 Decimal insights for limits continuity convergence
  538.    wt: 4:   G.3 Constant Difference Theorem Proof
  539.    wt: 4:   G.1 Differentiable Functions Rolles Theorem
  540.    wt: 4:   F.4 Finite Covering Theorem
  541.    wt: 4:   F.3 Intermediate Value Theorem
  542.    wt: 4:   B1 Pigeon Hole Principles from combinatorics
  543.    wt: 4:   A1. Introduction
  544.    wt: 4:   Chapter 22 Complex Numbers
  545.    wt: 4:   Chapter 21 Arrow Addition
  546.    wt: 4:   Postscript C Consistency as a Tool for Reason
  547.    wt: 4:   Chapter 23 Truth Tables
  548.    wt: 4:   Chapter 21 Occurrence Tables
  549.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  550.    wt: 4:   Chapter 18 Sense and Knowledge
  551.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  552.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  553.    wt: 4:   Three Remarks
  554.    wt: 4:   Foreword
  555.    wt: 4:   R Why Learn Mathematics Skills
  556.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  557.    wt: 4:   O On Learning Mathematics and Science
  558.    wt: 4:   N Improving Marks on Tests and Finals
  559.    wt: 4:   H more Routine to non routine problem solving
  560.    wt: 4:   H Jigsaw puzzles and problem solving
  561.    wt: 4:   E. When and how to correct errors
  562.    wt: 4:   D. Check work a must with a caution
  563.    wt: 4:   C. Domino effect of being careful
  564.    wt: 4:   A. Skill has to be seen to believed
  565.    wt: 4:   Appendix A Calculus with Proofs for Keen or Gifted
  566.    wt: 4:   Chapter 6 More Algebra and Geometry
  567.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  568.    wt: 4:   7 Games and Activities for Instruction
  569.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  570.    wt: 4:   3 Telling Tracking Time Temporal and More Place Sense
  571.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  572.    wt: 3:   Appendix 2 primary school Arithmetic 01
  573.    wt: 3:   Appendix 1 primary and preschool mathematic
  574.    wt: 3:   I LAMP Introduction Study Habits
  575.    wt: 3:   G LAMP Introduction Problem Solving Skills
  576.    wt: 3:   E LAMP Introduction Modern Mathematics
  577.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  578.    wt: 3:   Ramblings Introduction Algebra Essay
  579.    wt: 3:   Skills Chapter 3 Algebra
  580.    wt: 3:   Skills Chapter 0 Introduction
  581.    wt: 3:   11 pure mathematics
  582.    wt: 3:   10 statistics
  583.    wt: 3:   9 combinatorics probability sets
  584.    wt: 3:   8 analytic geometry etc
  585.    wt: 3:   6 polynomials etc
  586.    wt: 3:   What is POMME
  587.    wt: 3:   activities for students
  588.    wt: 3:   modern education
  589.    wt: 3:   grouping students according to ability
  590.    wt: 3:   what should be learnt and When
  591.    wt: 3:   Education Reform Inconsistencies
  592.    wt: 3:   Maps Plans Drawings
  593.    wt: 3:   Secondary Two Mathematics
  594.    wt: 3:   Secondary One Mathematics
  595.    wt: 3:   talk the algebra talk
  596.    wt: 3:   teaching tips
  597.    wt: 3:   What to Tell Students
  598.    wt: 3:   teaching tutoring algebraic reason
  599.    wt: 3:   05 13 OldSiteEntrancePage
  600.    wt: 3:   04 29 New Mathematics Curriculum
  601.    wt: 3:   formal or informal peer review
  602.    wt: 3:   Education in mathematics science and technology
  603.    wt: 3:   Different Kinds of Reasoning in maths
  604.    wt: 3:   Four ways to improve education reform
  605.    wt: 3:   education an empirical art
  606.    wt: 3:   words for mathematics instructor
  607.    wt: 3:   chapitre 12 00 les iles et division
  608.    wt: 3:   chapitre 07 01 principle D induction mathematique
  609.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  610.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  611.    wt: 3:   chapitre 04 02 Deuxieme enigme
  612.    wt: 3:   2 Energy Power Heat07
  613.    wt: 3:   D Energy Power04
  614.    wt: 3:   1 Conductance Resistance Duality01
  615.    wt: 3:   D Wire Resistance Calculation02
  616.    wt: 3:   C Electromotive force conventional current02
  617.    wt: 3:   17 Math Booklets for children and young teenagers
  618.    wt: 3:   10 Ends values for work study instruction
  619.    wt: 3:   Ages 12 to 14 Geometry
  620.    wt: 3:   Ages 12 to 14 Arithmetic
  621.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  622.    wt: 3:   sign monoticity analysis example 4
  623.    wt: 3:   sign monoticity analysis example 3
  624.    wt: 3:   sign monoticity analysis example 1
  625.    wt: 3:   17 Function maxima minima and their location
  626.    wt: 3:   16 Increasing or decreasing on intervals
  627.    wt: 3:   8 Set view of relations and functions
  628.    wt: 3:   7 Functions with finite domains
  629.    wt: 3:   3 Formula or function graphing exercise
  630.    wt: 3:   1 Geometric Introduction of Function Notation
  631.    wt: 3:   8 Notes for instructors or tutors
  632.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  633.    wt: 3:   1 Polynomials Distributive Law
  634.    wt: 3:   Rewriting algebraic substitution as function substitutions
  635.    wt: 3:   16 cotangent function Definition Graph and Inverse
  636.    wt: 3:   15 cosecant function Definition Graph and Inverse
  637.    wt: 3:   14 secant function Definition Graph and Inverse
  638.    wt: 3:   13 cosecant function Definition Graph and Inverse
  639.    wt: 3:   12 motivation for term arctan
  640.    wt: 3:   15 Dot and Cross Product
  641.    wt: 3:   12 From Applied To Pure Mathematics
  642.    wt: 3:   10 Parallelogram Addition Method
  643.    wt: 3:   5 Head To Tail Arrow Addition
  644.    wt: 3:   4 graphing y=Asin(x c)
  645.    wt: 3:   3 graphing y=f(x c) plus K
  646.    wt: 3:   1 graphing y=f(x a)
  647.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  648.    wt: 3:   Parallel Lines and Interior Angles
  649.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  650.    wt: 3:   A Straight Line Slope Scaling Properties
  651.    wt: 3:   12 Straight Lines Graphing mx plus b
  652.    wt: 3:   11 Straight Lines Graphing y=mx
  653.    wt: 3:   10 Straight Lines through Origin Equations More
  654.    wt: 3:   5 Tangent Function Graph
  655.    wt: 3:   4 Tangent Function Properties
  656.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  657.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  658.    wt: 3:   28 Expressing products of sines cosines as sums
  659.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  660.    wt: 3:   17C sine and cosine double triple angle formulas
  661.    wt: 3:   12 Graph of tangent function for one period
  662.    wt: 3:   11 tangent function undefined when terminal side vertical
  663.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  664.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  665.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  666.    wt: 3:   21 Logarithms Powers and Exponentials
  667.    wt: 3:   11 sine and cosine double triple angle formulas
  668.    wt: 3:   2 Complex Numbers made easier we hope
  669.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  670.    wt: 3:   12 Triangles Similarity More Problems
  671.    wt: 3:   4 Similarity Definition with Coordinate
  672.    wt: 3:   2 Similarity By Design
  673.    wt: 3:   12 Links Lessons elsewhere
  674.    wt: 3:   10 Midpoint of [a b] and [b a]
  675.    wt: 3:   8 Mid Point Formula
  676.    wt: 3:   8 Distance Between Points on a Line
  677.    wt: 3:   6 Polar Multiplication and Rotation
  678.    wt: 3:   3 Rectangular Coordinates Review
  679.    wt: 3:   1 Cartesian Coordinates sans signs
  680.    wt: 3:   19 Right Triangle Similarity
  681.    wt: 3:   18 Triangle Similarity Take 1
  682.    wt: 3:   14 Parallel Lines Postulate
  683.    wt: 3:   11 Triangle Construction Fails
  684.    wt: 3:   9 Construction of a right bisector
  685.    wt: 3:   8 Isoceles Triangles
  686.    wt: 3:   3 Isometry of Triangles Congruence
  687.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  688.    wt: 3:   1 Equivalent Computation Rules
  689.    wt: 3:   16 Real Numbers Comparison
  690.    wt: 3:   14 Real Number Multiplication
  691.    wt: 3:   13 Real Number Subtraction
  692.    wt: 3:   7 Real Numbers as Line Cordinates
  693.    wt: 3:   6 Unsigned Real Numbers
  694.    wt: 3:   5 Rational Numbers More
  695.    wt: 3:   2 Integers
  696.    wt: 3:   1 Whole and Natural Numbers
  697.    wt: 3:   4 Changing Letters
  698.    wt: 3:   More Exercises
  699.    wt: 3:   4 GE III Animated Examples
  700.    wt: 3:   Using Letters for Physical Quantities
  701.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  702.    wt: 3:   9 Sets in Probability and Statistics
  703.    wt: 3:   4 Subset Builder Notation
  704.    wt: 3:   6 Three Notions of What is a Variable
  705.    wt: 3:   5 Talking about Numbers and Quantities
  706.    wt: 3:   2 What is a Variable
  707.    wt: 3:   About Folder Contents
  708.    wt: 3:   7 Converting or Changing Units
  709.    wt: 3:   6 Simplification of Fractions with Units
  710.    wt: 3:   4 Fractions with Units
  711.    wt: 3:   18 Efficient Ways to Multiply
  712.    wt: 3:   8 Numerals Fractionals Quantals Take II
  713.    wt: 3:   7 Numerals Fractionals Quantals
  714.    wt: 3:   5 Equivalent Fractions
  715.    wt: 3:   4 Fraction Multiplication
  716.    wt: 3:   3 Unit fraction of a fraction
  717.    wt: 3:   1 What is a fraction Take II
  718.    wt: 3:   1 What is a fraction
  719.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  720.    wt: 3:   B Integer Long Division Multiple Choices
  721.    wt: 3:   10 Integer Multiplication Formulas
  722.    wt: 3:   8 Multiplication by Signed Numbers Integers
  723.    wt: 3:   1 Integers as Coordinates
  724.    wt: 3:   11 Efficient Square Rule Use
  725.    wt: 3:   Exact Arithmetic Wholes and Fractions
  726.    wt: 3:   Expression Evaluation how to show work
  727.    wt: 3:   The 12 Times Table Visually
  728.    wt: 3:   About folder contents
  729.    wt: 3:   011 Division of Time Intervals By Numbers
  730.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  731.    wt: 3:   6 How long is a million seconds
  732.    wt: 3:   4 Mixing and Changing Units of Time
  733.    wt: 3:   3 Units and Lengths of Time
  734.    wt: 3:   Summary
  735.    wt: 3:   4 Second derivative test exercise example
  736.    wt: 3:   3 Second derivative test
  737.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  738.    wt: 3:   34 Derivative of exponential function
  739.    wt: 3:   33 Chain Rule Real Player video examples
  740.    wt: 3:   31 Derivatives of inverse functions
  741.    wt: 3:   30Chain Rule A Proof
  742.    wt: 3:   26 Chain Rule Recognising outer inner functions
  743.    wt: 3:   23 Chain Rule in general
  744.    wt: 3:   19 Chain Rule for linear functions
  745.    wt: 3:   18 Chain Rule Introduction
  746.    wt: 3:   12 Quotient rule examples
  747.    wt: 3:   11 Quotient rule
  748.    wt: 3:   9 Reciprocal rule
  749.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  750.    wt: 3:   11 Limits at infinity Three Examples
  751.    wt: 3:   5 Jumps and absence of unlimited error control
  752.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  753.    wt: 3:   F.5b Extreme Value Theorem
  754.    wt: 3:   F.5a Equicontinuity Theorems
  755.    wt: 3:   F.1 What Functions are Continuous
  756.    wt: 3:   E1 Error Control Inequalities
  757.    wt: 3:   C Triangle Inequalities
  758.    wt: 3:   B3 Bolzano Weierstrass Theorem
  759.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  760.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  761.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  762.    wt: 3:   Chapter 12. Units and Slopes
  763.    wt: 3:   Chapter 2. Slopes and Ski Trails
  764.    wt: 3:   Chapter 12 Four Phases
  765.    wt: 3:   Chapter 3 Algebra Difficulties
  766.    wt: 3:   Foreword
  767.    wt: 3:   Postscript A Story Telling
  768.    wt: 3:   Chapter 11 Accidental Patterns
  769.    wt: 3:   Chapter 5 Deception
  770.    wt: 3:   Chapter 1 Introduction
  771.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  772.    wt: 3:   Chapter 8 Skipped Topics and Why
  773.    wt: 3:   Chapter 2 Why Sets
  774.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  775.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  776.    wt: 3:   Helping the Blind in Logic and Mathematics
  777.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  778.    wt: 3:   Systematic Algebra Skill Development Missing Links
  779.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  780.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  781.    wt: 2:   K LAMP Musings Science Education
  782.    wt: 2:   J LAMP Introduction Extrinsic Origins
  783.    wt: 2:   H LAMP Introduction Instructional Concepts
  784.    wt: 2:   F LAMP Introduction Prerequisites
  785.    wt: 2:   A Introduction Objectives
  786.    wt: 2:   Skills Chapter 5 Calculus
  787.    wt: 2:   Skills Chapter 4 Logic
  788.    wt: 2:   Skills Chapter 1 Arithmetic
  789.    wt: 2:   why bother
  790.    wt: 2:   permissions for teachers
  791.    wt: 2:   Math Ed if it must be short make it lean effective
  792.    wt: 2:   links Education Resources online
  793.    wt: 2:   About site lesson plans
  794.    wt: 2:   key notes and themes
  795.    wt: 2:   Mathematics Education Professors
  796.    wt: 2:   learning takes time
  797.    wt: 2:   Postscript 2007 01 10
  798.    wt: 2:   how letters appear
  799.    wt: 2:   mathematics curriculum shifts
  800.    wt: 2:   Theory of Knowledge
  801.    wt: 2:   Motivation and Context Problem
  802.    wt: 2:   chapitre 06 00 Chaines de la raison
  803.    wt: 2:   chapitre 05 00 Deception
  804.    wt: 2:   chapitre 04 09 Regles accidentelles
  805.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  806.    wt: 2:   chapitre 04 04 Parlons de la logique
  807.    wt: 2:   chapitre 04 00 Les regles d implication
  808.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  809.    wt: 2:   chapitre 01 00 Introduction
  810.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  811.    wt: 2:   deux definitions pour variable
  812.    wt: 2:   4 Energy Power Heat09
  813.    wt: 2:   3 Energy Power Heat08
  814.    wt: 2:   1 Energy Power Heat06
  815.    wt: 2:   E Energy Power05
  816.    wt: 2:   C Energy Power03
  817.    wt: 2:   A Energy Power01
  818.    wt: 2:   B Wire Resistance Qualitative02
  819.    wt: 2:   3 Like resistors in parallel
  820.    wt: 2:   2 Unlike resistors in parallel01
  821.    wt: 2:   H Series Circuit02
  822.    wt: 2:   E Kirchoffs Second Law
  823.    wt: 2:   D Kirchoff First Law
  824.    wt: 2:   B Electromotive force conventional current01
  825.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  826.    wt: 2:   16 Secondary Mathematics Tips
  827.    wt: 2:   5 Patience Please for Yourself and Your Charges
  828.    wt: 2:   4 Learning Takes Time and Effort
  829.    wt: 2:   3 Preparing for Science Studies
  830.    wt: 2:   Ages 10 to 12 Geometry
  831.    wt: 2:   Ages 10 to 12 Arithmetic
  832.    wt: 2:   15 Sign analysis of functions
  833.    wt: 2:   14 Surjections Injections Bijections
  834.    wt: 2:   13 From one to one to many to one
  835.    wt: 2:   10 Interval Notation
  836.    wt: 2:   9 Set theory term relation possible origins
  837.    wt: 2:   7 Links Lessons Elsewhere
  838.    wt: 2:   10 arctan left inverse of tangent Definition
  839.    wt: 2:   2 cosine function more properties
  840.    wt: 2:   9 Head to Tail Coordinate View
  841.    wt: 2:   1 Unsigned Coordinates
  842.    wt: 2:   Parallel Lines and Parallel Transversals
  843.    wt: 2:   Triangle Angles Sum To 180 Degrees
  844.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  845.    wt: 2:   Straight Lines ASA Intersection Study
  846.    wt: 2:   14 Straight Lines Equations General Case
  847.    wt: 2:   9 Straight Lines through Origin Equations
  848.    wt: 2:   1 Straight Lines Slope Concept
  849.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  850.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  851.    wt: 2:   10 Graphs of sines and cosines many periods
  852.    wt: 2:   9 Graphs of sine and cosine over one period
  853.    wt: 2:   7 period of sine and cosine
  854.    wt: 2:   2 Quadrant I reference Angles
  855.    wt: 2:   20 N th Roots of Complex Numbers
  856.    wt: 2:   7 Second Way to Calculate Products
  857.    wt: 2:   3 Addition Properties
  858.    wt: 2:   8 Triangles Cascade Problem Solving
  859.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  860.    wt: 2:   3 Trigonometric Ratios sine and cosine
  861.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  862.    wt: 2:   3 Similarity by Design with coordinates
  863.    wt: 2:   7 Exercises to test skill and concept mastery
  864.    wt: 2:   5 Algebraic View of Slopes
  865.    wt: 2:   1 Numerical view of lines and their equations
  866.    wt: 2:   What is and is not here
  867.    wt: 2:   11 Triangle Inequality
  868.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  869.    wt: 2:   7 Complex Numbers Appetizer
  870.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  871.    wt: 2:   3 Lengths and Areas on Maps and Plans
  872.    wt: 2:   2 Measuring Area Directly
  873.    wt: 2:   4 Rational Numbers
  874.    wt: 2:   3 Fractions
  875.    wt: 2:   Simple Exercises
  876.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  877.    wt: 2:   1 GE Substitution four examples
  878.    wt: 2:   8 Sets of Numbers
  879.    wt: 2:   7 Cautious or Safe Set Construction
  880.    wt: 2:   6 Power Set Notation
  881.    wt: 2:   3 Counting with Sets etc
  882.    wt: 2:   1 Finite Sets
  883.    wt: 2:   A Associative Law Theorectical Note
  884.    wt: 2:   9 Multiplying Integers
  885.    wt: 2:   7 Multiplication by Signs
  886.    wt: 2:   6 Multiplication by Natural Numbers
  887.    wt: 2:   013 Travel Time Tables
  888.    wt: 2:   5 Conversion Arithmetic
  889.    wt: 2:   2 Indefinite Integrals Exercises
  890.    wt: 2:   1 Chain Rule in Reverse Integration Method
  891.    wt: 2:   A Related lessons in Volume 3
  892.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  893.    wt: 2:   9 Limits Continuity and Composition
  894.    wt: 2:   8 Four Animated Examples
  895.    wt: 2:   1 Numerical introduction
  896.    wt: 2:   Chapter 23 Links To Trigonometry
  897.    wt: 2:   Foreword
  898.    wt: 2:   Annotated Links to Material Elsehwere
  899.    wt: 2:   Postscript B Mathematics Education References
  900.    wt: 2:   Postscript A Three Remarks
  901.    wt: 2:   Chapter 9 The Two Ends
  902.    wt: 2:   Chapter 8 Modern Instruction
  903.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  904.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  905.    wt: 2:   Chapter 1 Introduction
  906.    wt: 2:   Chapter 15 Objective Processes
  907.    wt: 2:   Chapter 10 Responsibility
  908.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  909.    wt: 2:   Chapter 8 Change of Language
  910.    wt: 2:   Chapter 7 Longer Chains of Reason
  911.    wt: 2:   Chapter 6 Chains of Reason
  912.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  913.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  914.    wt: 2:   Chapter 3 Algebra Starter Lessons
  915.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  916.    wt: 2:   Mathematics Education References
  917.    wt: 2:   Mathematics Education References
  918.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  919.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  920.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  921.    wt: 2:   The Math Forum and Site Content
  922.    wt: 1:   Ramblings Extrinsic numbers theory
  923.    wt: 1:   which way to go
  924.    wt: 1:   website reviews
  925.    wt: 1:   Teach the teachers plus goals
  926.    wt: 1:   site origins
  927.    wt: 1:   site eurekas
  928.    wt: 1:   teacher certification
  929.    wt: 1:   mathematics in context
  930.    wt: 1:   Operational Viewpoint to Value
  931.    wt: 1:   mathematics instruction in general
  932.    wt: 1:   cultivating intelligence
  933.    wt: 1:   How to be a better instructor
  934.    wt: 1:   Leaner mathematics curriculum
  935.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  936.    wt: 1:   chapitre 04 08 Limitations et benefices
  937.    wt: 1:   chapitre 04 06 engagements
  938.    wt: 1:   chapitre 04 05 Implication versus suggestion
  939.    wt: 1:   chapitre 04 01 Premiere enigme
  940.    wt: 1:   logique deux enigme
  941.    wt: 1:   F Wire Resistance Calculation04
  942.    wt: 1:   E Wire Resistance Calculation03
  943.    wt: 1:   C Wire Resistance Calculation01
  944.    wt: 1:   A Wire Resistance Qualitative01
  945.    wt: 1:   1 Like resistors in series
  946.    wt: 1:   G Series Circuit01
  947.    wt: 1:   F Unlike Resistors in Series
  948.    wt: 1:   A Circuit Elements
  949.    wt: 1:   Home Tutoring and Home Schooling
  950.    wt: 1:   15 Counting For Parents
  951.    wt: 1:   14 Multiplication and Times Tables
  952.    wt: 1:   9 Streaming by Student Cooperation
  953.    wt: 1:   7 Student Motivation
  954.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  955.    wt: 1:   1 Speaking Skills
  956.    wt: 1:   Ages 9 to 10
  957.    wt: 1:   Ages 8 to 9
  958.    wt: 1:   Ages 7 to 8
  959.    wt: 1:   Ages 6 to 7
  960.    wt: 1:   Ages 4 plus to 5 plus
  961.    wt: 1:   Ages 3 plus to 4 plus
  962.    wt: 1:   11 arctan left inverse of tangent Graph
  963.    wt: 1:   9 motivation for name arcsin
  964.    wt: 1:   7 arcsin left inverse of sine Definition
  965.    wt: 1:   5 Swapping Coordinates is a reflection
  966.    wt: 1:   4 possible motivation for term arccos
  967.    wt: 1:   3 Left Inverse of cosine arccos definition
  968.    wt: 1:   A Global Time and Navigation
  969.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  970.    wt: 1:   11 Component Method
  971.    wt: 1:   6 Vectors with Coordinates
  972.    wt: 1:   Vector and Complex Number Applet
  973.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  974.    wt: 1:   Straight Lines Instersection Solving Equations
  975.    wt: 1:   Straight Lines Intersection of
  976.    wt: 1:   17 tangent function angle sum formulas
  977.    wt: 1:   32 seven rows of pascals triangle
  978.    wt: 1:   31 basic secant cosecant cotangent trig identities
  979.    wt: 1:   30 unit circle calculation of six trigonometric functions
  980.    wt: 1:   18 sum of sinusoidal waves as a single wave
  981.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  982.    wt: 1:   17A The complex number valued trig function cis
  983.    wt: 1:   13 Graph of tangent function many periods
  984.    wt: 1:   8 period of tangent function
  985.    wt: 1:   Unit Circle Development of Trigonometry
  986.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  987.    wt: 1:   16 References and Originality Question
  988.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  989.    wt: 1:   9 The complex number valued trig function cis
  990.    wt: 1:   8 Unit Circle Development of Trigonometry
  991.    wt: 1:   6 Field Properties of Complex Number
  992.    wt: 1:   5 An Easy Proof of the Distributive Law
  993.    wt: 1:   1 Rectangular Polar Coordinates Review
  994.    wt: 1:   7 Trignometric Ratios Unit Circle
  995.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  996.    wt: 1:   1 Angle Measurement with Degrees
  997.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  998.    wt: 1:   11 Triangle Similarity Missing Side Problem
  999.    wt: 1:   8 Similarity of Triangles and Polygons
  1000.    wt: 1:   7 Translations Rotations Reflections Dilatations
  1001.    wt: 1:   6 Geometric Diagrams in Class
  1002.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  1003.    wt: 1:   Four Simple Exercises
  1004.    wt: 1:   11 A Partial Summary
  1005.    wt: 1:   6 Intersection of lines by solving linear systems
  1006.    wt: 1:   4 Angles on Maps Plans drawn to scale
  1007.    wt: 1:   About Folder Contents
  1008.    wt: 1:   A Related Material in Volume 3
  1009.    wt: 1:   5 Area Under Curve Exercise
  1010.    wt: 1:   4 Definite Integrals Evaluation Exercises
  1011.    wt: 1:   3 Two Chain Rule Method Exercises
  1012.    wt: 1:   6 Continuity at a point
  1013.    wt: 1:   4 Numerical properties
  1014.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1015.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1016.    wt: 1:   Chapter 10 Slopes and Units
  1017.    wt: 1:   Chapter 7 Slopes and Velocity
  1018.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1019.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1020.    wt: 1:   Chapter 1.Introduction
  1021.    wt: 1:   Fall 1983 Calculus Appetizer
  1022.    wt: 1:   Chapter 11 Elementary Instruction
  1023.    wt: 1:   Chapter 10 Transition
  1024.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1025.    wt: 1:   Chapter 5 Four References
  1026.    wt: 1:   Chapter 1 Arithmetic
  1027.    wt: 1:   Implementation Notes
  1028.    wt: 1:   Which Way To Go
  1029.    wt: 1:   Road Safety Questions
  1030.    wt: 17:   Long Division forwards and backwards Example 2
  1031.    wt: 16:   Long Division forwards and backwards Example 3
  1032.    wt: 15:   Long Division forwards and backwards Example 1
  1033.    wt: 15:   6. Counting and adding units and mixed units
  1034.    wt: 14:   Long Division Backwards more
  1035.    wt: 14:   2 Division with Single Digit Divisors
  1036.    wt: 14:   Appendix 2 Three Decimal Subtraction Methods
  1037.    wt: 14:   Appendix 1 Counting Revisited 15 minute video
  1038.    wt: 14:   7 Adding decimal fractions using decimal point
  1039.    wt: 13:   Long Division Backward
  1040.    wt: 13:   4 Division with 2 Digit Divsors
  1041.    wt: 13:   5. How to add decimals C. Examples
  1042.    wt: 13:   4. How to add with decimals B with conversions
  1043.    wt: 13:   3. How to add with decimals A sans conversions
  1044.    wt: 13:   2 Decimal Counting Practices
  1045.    wt: 12:   16 GCD and LCM of 650 225 via Prime
  1046.    wt: 12:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1047.    wt: 12:   Division with Counts and Length
  1048.    wt: 12:   12 Why Long Division Works Take III
  1049.    wt: 12:   6 Why Decimal Long Division Methods Works Take I
  1050.    wt: 12:   3 Division Single Digit Divisor Example
  1051.    wt: 12:   D Decimal Multiplication Methods Derived
  1052.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  1053.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  1054.    wt: 12:   Video Power Notation in Decimal Expansion
  1055.    wt: 12:   Appendix 1 Decimals Comparison Method Take II
  1056.    wt: 12:   9 22 Minute Subtraction Review Video
  1057.    wt: 12:   8 What skills and work habits to require
  1058.    wt: 12:   1. Explaining Addition Table
  1059.    wt: 12:   Chapter 2 Implication Rules Forwards and Backwards
  1060.    wt: 11:   2 More and Less Than with Unlike Signs
  1061.    wt: 11:   1 More and Less Than for Counts and Measures
  1062.    wt: 11:   11 GCD 2700 288 via Euclid Algorithm
  1063.    wt: 11:   10 Euclid Algorithm with 129 125 and with 45 14
  1064.    wt: 11:   12 GCD 2700 288 via Prime
  1065.    wt: 11:   22 Remainder Arithmetic Modulo 3 more
  1066.    wt: 11:   2 Remainder Arithmetic Modulo 10 more
  1067.    wt: 11:   11 Another Single Digit Divisor Example
  1068.    wt: 11:   10 Division by Five Long and Short Ways
  1069.    wt: 11:   5 Long Division Include Zeroes or not
  1070.    wt: 11:   Subtraction Another Video Lesson
  1071.    wt: 11:   7 Subtraction for Decimal Fractions with Exercises
  1072.    wt: 11:   3 Harder Cases Convert to Compare and Subtract
  1073.    wt: 11:   2 Subtraction Easy Case Examples
  1074.    wt: 11:   1 Comparison and Subtraction Easy Direct Cases
  1075.    wt: 11:   Appendix A. Reading Guide For Next Appendices
  1076.    wt: 11:   Chapter 22. Geometric Sums and Sequences
  1077.    wt: 11:   Chapter 21. Third Reading Guide
  1078.    wt: 11:   Chapter 20. Degrees and Radians
  1079.    wt: 11:   Chapter 14. Forward and Backward Use of a Formula
  1080.    wt: 10:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  1081.    wt: 10:   11 Signed Number Addition and Addition Properties
  1082.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1083.    wt: 10:   1 Written work formats for developing and showing skill
  1084.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1085.    wt: 10:   8 GCD from Euclidean Algorithm
  1086.    wt: 10:   27 Divisibility by 2 3 6 5 9 10 Example
  1087.    wt: 10:   25 Divisibility Tests for 2 3 5 9 10 Example
  1088.    wt: 10:   24 Divisibility Tests for 2 3 5 9 10
  1089.    wt: 10:   23 Remainder Arithmetic Modulo 2
  1090.    wt: 10:   3 Remainder Arithmetic Modulos 10 more still
  1091.    wt: 10:   9 Why Long Division Works Take II
  1092.    wt: 10:   7 Long Divison Mistake Catching
  1093.    wt: 10:   1 Divsion Physical Examples
  1094.    wt: 10:   4 Two and Three Digit Multipliers
  1095.    wt: 10:   2 One Digit Multipliers
  1096.    wt: 10:   Subtraction with J Conversions Example
  1097.    wt: 10:   5 A Tip for Efficent Subtraction
  1098.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1099.    wt: 10:   Appendix D. What to do in School and Why
  1100.    wt: 10:   Chapter 12. Shorthand Usage Guide
  1101.    wt: 10:   Chapter 8 Three Skills For Algebra
  1102.    wt: 10:   Chapter 5 Islands and Divisions of Knowledge

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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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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