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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

69 matches:

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

Web Page Search

799 matches:

  1.    wt: 7:   chapitre 07 01 principle D induction mathematique
  2.    wt: 6:   16 Angles Subtended By Chords and Diameters
  3.    wt: 6:   11 Signed Number Addition and Addition Properties
  4.    wt: 6:   D Decimal Multiplication Methods Derived
  5.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  6.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  7.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take III
  8.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take II
  9.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  10.    wt: 5:   13 Addition and Addition Tables
  11.    wt: 5:   11 Help and Defend Your Child or Teens Education
  12.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  14.    wt: 5:   A Decimal Addition Columm Methods
  15.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  16.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  17.    wt: 5:   6. Counting and adding units and mixed units
  18.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  19.    wt: 5:   Postscript D Reflections on Law of the Excluded Middle
  20.    wt: 5:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  21.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  22.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  23.    wt: 4:   7 logic review and decimals an odd combination
  24.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  25.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  26.    wt: 4:   1 Degrees and Radians Introduction
  27.    wt: 4:   10 Parallelogram Addition Method
  28.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 4:   14 cosine even and sine and tangent are odd
  30.    wt: 4:   PS D Addition with Cartesian Coordinates
  31.    wt: 4:   A Modular and Remainder Arithmetic
  32.    wt: 4:   D Long Division Methods
  33.    wt: 4:   2 Combing Counts Addition Skills and Principles
  34.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  35.    wt: 4:   6 Compound Interest Forward and Backwards
  36.    wt: 4:   5 Independent versus Dependent Variables
  37.    wt: 4:   3 Adding Words To Arithmetic
  38.    wt: 4:   2 signed and unsigned numbers as coordinates
  39.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  40.    wt: 4:   14 Adding and Subtracting with Like Denominators
  41.    wt: 4:   Long Division forwards and backwards Example 3
  42.    wt: 4:   Long Division forwards and backwards Example 2
  43.    wt: 4:   Long Division forwards and backwards Example 1
  44.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  45.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  46.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  47.    wt: 4:   7 Adding decimal fractions using decimal point
  48.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  49.    wt: 4:   016 Numbering Occidental Calendar Days
  50.    wt: 4:   010 Repeated Addition of Time Intervals
  51.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  52.    wt: 4:   D1 Sets and Sequences GLBs and LGBs
  53.    wt: 4:   Appendix D. What to do in School and Why
  54.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  55.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  56.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  57.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  58.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  59.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  60.    wt: 3:   Appendix 2 primary school Arithmetic 01
  61.    wt: 3:   five decades make a difference
  62.    wt: 3:   fairness and inductive principles for instruction
  63.    wt: 3:   chapitre 12 00 les iles et division
  64.    wt: 3:   chapitre 04 09 Regles accidentelles
  65.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  66.    wt: 3:   chapitre 04 00 Les regles d implication
  67.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  68.    wt: 3:   chapitre 02 00 La Communication des idees
  69.    wt: 3:   chapitre 01 00 Introduction
  70.    wt: 3:   1 Conductance Resistance Duality01
  71.    wt: 3:   24 Standards For Skill Develoment Take II
  72.    wt: 3:   24 Standards For Skill Develoment
  73.    wt: 3:   17 Math Booklets for children and young teenagers
  74.    wt: 3:   26 Function definitions done and coming
  75.    wt: 3:   19 Horizontal line rule and method
  76.    wt: 3:   18 Vertical Line Rule and Method
  77.    wt: 3:   11 Function Domain Range Source and Targets
  78.    wt: 3:   Introduction Reading Guide
  79.    wt: 3:   10 Exponential Growth and Decay Models
  80.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  81.    wt: 3:   9 Summary Degrees to Radians and back
  82.    wt: 3:   15 Dot and Cross Product
  83.    wt: 3:   5 Head To Tail Arrow Addition
  84.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  85.    wt: 3:   7 Tangent Function is odd on this domain
  86.    wt: 3:   17E Trig Formulas for dot and cross Products
  87.    wt: 3:   11 tangent function undefined when terminal side vertical
  88.    wt: 3:   13 Trig Formulas for dot and cross Products
  89.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  90.    wt: 3:   5 Cartesian Addition and Translation
  91.    wt: 3:   PS G Rotation Distributes over Addition
  92.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  93.    wt: 3:   4 Side Side Side
  94.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  95.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  96.    wt: 3:   15 Head to Tails in place Addition Associative
  97.    wt: 3:   9 Division with Digits after Decimal Point
  98.    wt: 3:   8 Division and Mulplication of Compound Fractions
  99.    wt: 3:   4 Location of Point in Decimal Addition
  100.    wt: 3:   E Long Division Methods more
  101.    wt: 3:   C Three Decimal Subtraction Methods
  102.    wt: 3:   7 Decimals Multiplication Methods Examples
  103.    wt: 3:   6 Column Methods for Decimal Multiplication
  104.    wt: 3:   2 Addition and Multiplication Axioms
  105.    wt: 3:   1 Formulas Dependence and Function Notation
  106.    wt: 3:   3 GE III Equation Addition and Multiplication
  107.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  108.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  109.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  110.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  111.    wt: 3:   1 Counting and Counting Methods I
  112.    wt: 3:   10 dividing signed numbers
  113.    wt: 3:   7 negative and additive inverse
  114.    wt: 3:   6 adding signed numbers
  115.    wt: 3:   3 signed coordinates for maps and planes
  116.    wt: 3:   1 Addition and Subtraction with Units
  117.    wt: 3:   17 Efficient Ways to Add and Subtract
  118.    wt: 3:   16 Addition Subtraction Comparision Compared
  119.    wt: 3:   D Remainders Modulo 11 Pair Rule
  120.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  121.    wt: 3:   11 Adding Integers Formulas and Examples
  122.    wt: 3:   5 Zero Movement and Additive Inverses
  123.    wt: 3:   4 Adding Movements wiht opposite directions
  124.    wt: 3:   3 Adding Movements with same direction
  125.    wt: 3:   23 Remainder Arithmetic Modulo 2
  126.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  127.    wt: 3:   21 Remainder Arithmetic Modulo 3
  128.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  129.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  130.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  131.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  132.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  133.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  134.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  135.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  136.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  137.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  138.    wt: 3:   5 Remainder Arithmetic Modulo 5
  139.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  140.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  141.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  142.    wt: 3:   1 Remainder Arithmetic Modulo 10
  143.    wt: 3:   12 LCD GCD and LCM using Primes
  144.    wt: 3:   4 Division with 2 Digit Divsors
  145.    wt: 3:   3 Division Single Digit Divisor Example
  146.    wt: 3:   2 Division with Single Digit Divisors
  147.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  148.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  149.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  150.    wt: 3:   5. How to add decimals C. Examples
  151.    wt: 3:   4. How to add with decimals B with conversions
  152.    wt: 3:   3. How to add with decimals A sans conversions
  153.    wt: 3:   015 School and work day counting tables
  154.    wt: 3:   014 Counting Days with Calendars
  155.    wt: 3:   Example 1. Area Between x and x squared
  156.    wt: 3:   38 Formulas and derivatives for powers and roots
  157.    wt: 3:   15 sine and cosine derivatives 3rd step
  158.    wt: 3:   14 sine and cosine derivatives 2nd step
  159.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  160.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  161.    wt: 3:   7 Evaluation by immediate or delayed substitution
  162.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  163.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  164.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  165.    wt: 3:   Appendix E. How To Study Mathematics and Why
  166.    wt: 3:   Chapter 31 Direct and Indirect Reason
  167.    wt: 3:   Chapter 21. Third Reading Guide
  168.    wt: 3:   Chapter 20. Degrees and Radians
  169.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  170.    wt: 3:   Chapter 13. Second Reading Guide
  171.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  172.    wt: 3:   Chapter 24 Direct and Indirect Reason
  173.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  174.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  175.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  176.    wt: 3:   S Adding words to algebra
  177.    wt: 3:   M Words to extend arithmetic
  178.    wt: 3:   How to Build Skills and Confidence
  179.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  180.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  181.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  182.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  183.    wt: 2:   Appendix 1 primary and preschool mathematic
  184.    wt: 2:   I LAMP Introduction Study Habits
  185.    wt: 2:   E LAMP Introduction Modern Mathematics
  186.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  187.    wt: 2:   8 analytic geometry etc
  188.    wt: 2:   5 logarithms and exponentials etc
  189.    wt: 2:   3 Euclidean Geometry Leanly
  190.    wt: 2:   2 arithmetic with signed numbers
  191.    wt: 2:   1 arithmetic with unsigned numbers
  192.    wt: 2:   three goals to set for students
  193.    wt: 2:   modern education
  194.    wt: 2:   grouping students according to ability
  195.    wt: 2:   what should be learnt and When
  196.    wt: 2:   Postscript 2007 01 10
  197.    wt: 2:   standards for course material
  198.    wt: 2:   Education in mathematics science and technology
  199.    wt: 2:   Different Kinds of Reasoning in maths
  200.    wt: 2:   need for a mixed mathematics curriculum
  201.    wt: 2:   chapitre 06 00 Chaines de la raison
  202.    wt: 2:   chapitre 05 00 Deception
  203.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  204.    wt: 2:   chapitre 04 08 Limitations et benefices
  205.    wt: 2:   chapitre 04 04 Parlons de la logique
  206.    wt: 2:   chapitre 04 02 Deuxieme enigme
  207.    wt: 2:   chapitre 04 01 Premiere enigme
  208.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  209.    wt: 2:   problemes algebre et arithmetique
  210.    wt: 2:   deux definitions pour variable
  211.    wt: 2:   2 Conductance Resistance Duality02
  212.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  213.    wt: 2:   22 Student Centered Highschool Mathematics
  214.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  215.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  216.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  217.    wt: 2:   10 Ends values for work study instruction
  218.    wt: 2:   2 Reading and Writing Skills
  219.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  220.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  221.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  222.    wt: 2:   8 Set view of relations and functions
  223.    wt: 2:   6 Set Existence Formation and Notation
  224.    wt: 2:   4 Function notation in and beyond mathematics
  225.    wt: 2:   1 Geometric Introduction of Function Notation
  226.    wt: 2:   9 quadratics physical and further context
  227.    wt: 2:   8 quadratics backward use of various formulas
  228.    wt: 2:   7 quadratic formulla derivation
  229.    wt: 2:   5 quadratics completing the square
  230.    wt: 2:   4 quadratics difference of two squares
  231.    wt: 2:   11 Growth and Decay in Biology
  232.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  233.    wt: 2:   4 Polynomials Long division linear divisor
  234.    wt: 2:   3 Polynomials Multiplication Addition
  235.    wt: 2:   2 Column Multiplication Method
  236.    wt: 2:   16 cotangent function Definition Graph and Inverse
  237.    wt: 2:   15 cosecant function Definition Graph and Inverse
  238.    wt: 2:   14 secant function Definition Graph and Inverse
  239.    wt: 2:   13 cosecant function Definition Graph and Inverse
  240.    wt: 2:   6 Radian Measure to Degrees
  241.    wt: 2:   5 Degrees to Radian Measure
  242.    wt: 2:   2 Radian Measure Numerical Value of one degree
  243.    wt: 2:   11 Component Method
  244.    wt: 2:   9 Head to Tail Coordinate View
  245.    wt: 2:   2 Signed Coordinates
  246.    wt: 2:   1 Unsigned Coordinates
  247.    wt: 2:   Vector and Complex Number Applet
  248.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  249.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  250.    wt: 2:   27 Logarithmic use of products of sines and cosines
  251.    wt: 2:   26 Formulas for products of sines and cosines
  252.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  253.    wt: 2:   20 sine and cosine Double Angle Formulas
  254.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  255.    wt: 2:   17D cis formulas for sine cosines and tangent
  256.    wt: 2:   17C sine and cosine double triple angle formulas
  257.    wt: 2:   10 Graphs of sines and cosines many periods
  258.    wt: 2:   9 Graphs of sine and cosine over one period
  259.    wt: 2:   7 period of sine and cosine
  260.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  261.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  262.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  263.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  264.    wt: 2:   Unit Circle Development of Trigonometry
  265.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  266.    wt: 2:   11 sine and cosine double triple angle formulas
  267.    wt: 2:   8 Unit Circle Development of Trigonometry
  268.    wt: 2:   7 Second Way to Calculate Products
  269.    wt: 2:   3 Addition Properties
  270.    wt: 2:   Appetizer A Complex Number Applet
  271.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  272.    wt: 2:   3 Trigonometric Ratios sine and cosine
  273.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  274.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  275.    wt: 2:   6 Geometric Diagrams in Class
  276.    wt: 2:   4 Similarity Definition with Coordinate
  277.    wt: 2:   3 Similarity by Design with coordinates
  278.    wt: 2:   10 Midpoint of [a b] and [b a]
  279.    wt: 2:   3 Slope product for perpendicular lines
  280.    wt: 2:   8 Distance Between Points on a Line
  281.    wt: 2:   4 Polar Coordinates to and from
  282.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  283.    wt: 2:   PS B Parallelogram Construction Methods
  284.    wt: 2:   PS A Kite Construction Methods
  285.    wt: 2:   12 Side Angle Side Failure
  286.    wt: 2:   10 Dropping a perpendicular to line
  287.    wt: 2:   5 Side Angle Side
  288.    wt: 2:   2 Correspondence between Triangles
  289.    wt: 2:   Short Course on Euclidean Geometry
  290.    wt: 2:   3 Lengths and Areas on Maps and Plans
  291.    wt: 2:   A Signed Number Arithmetic Review
  292.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  293.    wt: 2:   23 Distributive Law Two Derivations
  294.    wt: 2:   21 Addition of Multiples of a Single Vector
  295.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  296.    wt: 2:   12 Real Numbers Line Signed Coordinates
  297.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  298.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  299.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  300.    wt: 2:   2 Counting Digits in Decimal Multiplication
  301.    wt: 2:   B Decimal Comparison and Subtraction
  302.    wt: 2:   8 Column Multiplication Methods in General
  303.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  304.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  305.    wt: 2:   6 Equations and Systems Equivalent or Implied
  306.    wt: 2:   4 Subtraction and Division Axioms
  307.    wt: 2:   2 More and Less Than for Counts and Measures
  308.    wt: 2:   12 Real Number Additive Inverses or Negatives
  309.    wt: 2:   11 Real Number Addition
  310.    wt: 2:   8 Coordinates for Maps and Planes
  311.    wt: 2:   3 Geometric Formulas and Function Notation
  312.    wt: 2:   13 Naming Identifying Formulas with Words
  313.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  314.    wt: 2:   7 Compound Interest Formula Introduction
  315.    wt: 2:   1 Written work formats for developing and showing skill
  316.    wt: 2:   9 Sets in Probability and Statistics
  317.    wt: 2:   5 Product Builder Notation
  318.    wt: 2:   4 Subset Builder Notation
  319.    wt: 2:   3 Counting with Sets etc
  320.    wt: 2:   arithmetic videos Real Player Format
  321.    wt: 2:   1 More and Less Than for Counts and Measures
  322.    wt: 2:   1 Squares and Square Roots Introduction
  323.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  324.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  325.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  326.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  327.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  328.    wt: 2:   8 GCD from Euclidean Algorithm
  329.    wt: 2:   7 GCD and LCM from prime factorization
  330.    wt: 2:   2 Least Common Multiple LCM intro via list method
  331.    wt: 2:   4 signed coordinates for regions in space
  332.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  333.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  334.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  335.    wt: 2:   20 Dividing Fractions the Why
  336.    wt: 2:   19 Dividing Fractions How TO
  337.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  338.    wt: 2:   9 Improper Fractions and Mixed Numbers
  339.    wt: 2:   13 Subtraction with Additive Inverse
  340.    wt: 2:   12 Adding Integers More Examples
  341.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  342.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  343.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  344.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  345.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  346.    wt: 2:   17 Identify and Count Factors using Primes
  347.    wt: 2:   10 video Prime Factorization upto 23 squared
  348.    wt: 2:   9 video Prime Factorization upto 19 squared
  349.    wt: 2:   4 video Prime Factorization Introduction
  350.    wt: 2:   3 video Primes and Composites from 9 times table
  351.    wt: 2:   1 video how Products are bigger than factor
  352.    wt: 2:   Long Division Backwards more
  353.    wt: 2:   Long Division Backward
  354.    wt: 2:   Division with Counts and Length
  355.    wt: 2:   11 Another Single Digit Divisor Example
  356.    wt: 2:   10 Division by Five Long and Short Ways
  357.    wt: 2:   5 Long Division Include Zeroes or not
  358.    wt: 2:   A Elementary Basis for Multiplication Methods
  359.    wt: 2:   4 Two and Three Digit Multipliers
  360.    wt: 2:   Video Power Notation in Decimal Expansion
  361.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  362.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  363.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  364.    wt: 2:   1. Explaining Addition Table
  365.    wt: 2:   11 Place Value SI Standard International way
  366.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  367.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  368.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  369.    wt: 2:   Exact Arithmetic Wholes and Fractions
  370.    wt: 2:   012 Division of Time Intervals by Time Intervals
  371.    wt: 2:   011 Division of Time Intervals By Numbers
  372.    wt: 2:   8 Addition of Time Intervals via subtotaling
  373.    wt: 2:   7 Addition of Time Intervals
  374.    wt: 2:   2 Time and Date Matters in School
  375.    wt: 2:   1 Intro of Kids To Time Date Skills
  376.    wt: 2:   3 Two Chain Rule Method Exercises
  377.    wt: 2:   1 Chain Rule in Reverse Integration Method
  378.    wt: 2:   4 Second derivative test exercise example
  379.    wt: 2:   3 Second derivative test
  380.    wt: 2:   2 Second derivative test prequel
  381.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  382.    wt: 2:   36 Cube root derivative animated
  383.    wt: 2:   25 Chain Rule Animated Examples Continued
  384.    wt: 2:   17 Derivatives of quotients of sine and cosine
  385.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  386.    wt: 2:   13 sine and cosine derivatives 1st step
  387.    wt: 2:   7 Animated Differentiation Examples
  388.    wt: 2:   10 Three one sided limits with infinite values
  389.    wt: 2:   5 Jumps and absence of unlimited error control
  390.    wt: 2:   G.5 Motions With Bounded Velocities
  391.    wt: 2:   PostScript For and Against Decimal Perspectives
  392.    wt: 2:   Chapter 21 Arrow Addition
  393.    wt: 2:   Appendix C. How to Read
  394.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  395.    wt: 2:   Chapter 19. Functions and Sets
  396.    wt: 2:   Chapter 12. Shorthand Usage Guide
  397.    wt: 2:   Chapter 10 Describing and Changing Calculations
  398.    wt: 2:   Chapter 18 Sense and Knowledge
  399.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  400.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  401.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  402.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  403.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  404.    wt: 2:   G. Written work formats for developing and showing skill
  405.    wt: 2:   F. The student teacher tutor feedback loop
  406.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  407.    wt: 2:   Chapter 8 Skipped Topics and Why
  408.    wt: 2:   Chapter 6 More Algebra and Geometry
  409.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  410.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  411.    wt: 2:   Helping the Blind in Logic and Mathematics
  412.    wt: 2:   More Algebra and Slope based Calculus Preview
  413.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  414.    wt: 2:   Road Safety Questions
  415.    wt: 1:   K LAMP Musings Science Education
  416.    wt: 1:   J LAMP Introduction Extrinsic Origins
  417.    wt: 1:   H LAMP Introduction Instructional Concepts
  418.    wt: 1:   G LAMP Introduction Problem Solving Skills
  419.    wt: 1:   F LAMP Introduction Prerequisites
  420.    wt: 1:   A Introduction Objectives
  421.    wt: 1:   Ramblings Introduction Algebra Essay
  422.    wt: 1:   Skills Chapter 2 Geometry
  423.    wt: 1:   Skills Chapter 1 Arithmetic
  424.    wt: 1:   Skills Chapter 0 Introduction
  425.    wt: 1:   9 combinatorics probability sets
  426.    wt: 1:   6 polynomials etc
  427.    wt: 1:   Math Ed if it must be short make it lean effective
  428.    wt: 1:   Applied Maths Program14092009 POMME variant
  429.    wt: 1:   activities for students
  430.    wt: 1:   links Education Resources online
  431.    wt: 1:   key notes and themes
  432.    wt: 1:   Mathematics Education Professors
  433.    wt: 1:   Education Reform Inconsistencies
  434.    wt: 1:   Maps Plans Drawings
  435.    wt: 1:   how letters appear
  436.    wt: 1:   Secondary Three Mathematics
  437.    wt: 1:   Secondary Two Mathematics
  438.    wt: 1:   Secondary One Mathematics
  439.    wt: 1:   three difficulties
  440.    wt: 1:   What to Tell Students
  441.    wt: 1:   geometric implications for algebra
  442.    wt: 1:   Lessening Algebra Difficulties
  443.    wt: 1:   three goals for Mathematics Education
  444.    wt: 1:   05 13 OldSiteEntrancePage
  445.    wt: 1:   04 25 when to stop or suspend mathemat
  446.    wt: 1:   02 21 words for teachers
  447.    wt: 1:   02 20 mathematics education references
  448.    wt: 1:   three aims for mathematics students
  449.    wt: 1:   Theory of Knowledge
  450.    wt: 1:   three kinds of reason in mathematics
  451.    wt: 1:   Four ways to improve education reform
  452.    wt: 1:   How to be a better instructor
  453.    wt: 1:   Motivation and Context Problem
  454.    wt: 1:   Prequel In For A Penny In For A Pound
  455.    wt: 1:   education an empirical art
  456.    wt: 1:   words for mathematics instructor
  457.    wt: 1:   chapitre 04 06 engagements
  458.    wt: 1:   chapitre 04 05 Implication versus suggestion
  459.    wt: 1:   logique deux enigme
  460.    wt: 1:   2 Energy Power Heat07
  461.    wt: 1:   D Energy Power04
  462.    wt: 1:   A Energy Power01
  463.    wt: 1:   D Wire Resistance Calculation02
  464.    wt: 1:   C Wire Resistance Calculation01
  465.    wt: 1:   A Wire Resistance Qualitative01
  466.    wt: 1:   2 Unlike resistors in parallel01
  467.    wt: 1:   G Series Circuit01
  468.    wt: 1:   E Kirchoffs Second Law
  469.    wt: 1:   D Kirchoff First Law
  470.    wt: 1:   B Electromotive force conventional current01
  471.    wt: 1:   Home Tutoring and Home Schooling
  472.    wt: 1:   16 Secondary Mathematics Tips
  473.    wt: 1:   14 Multiplication and Times Tables
  474.    wt: 1:   12 Goals and Objectives For Mathematics
  475.    wt: 1:   9 Streaming by Student Cooperation
  476.    wt: 1:   7 Student Motivation
  477.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  478.    wt: 1:   5 Patience Please for Yourself and Your Charges
  479.    wt: 1:   4 Learning Takes Time and Effort
  480.    wt: 1:   3 Preparing for Science Studies
  481.    wt: 1:   Ages 12 to 14 Geometry
  482.    wt: 1:   Ages 12 to 14 Arithmetic
  483.    wt: 1:   Ages 10 to 12 Geometry
  484.    wt: 1:   Ages 10 to 12 Arithmetic
  485.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  486.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  487.    wt: 1:   20 Interchanging coordinates a reflection
  488.    wt: 1:   17 Function maxima minima and their location
  489.    wt: 1:   16 Increasing or decreasing on intervals
  490.    wt: 1:   12 Function Domain Recognition Exercises
  491.    wt: 1:   9 Set theory term relation possible origins
  492.    wt: 1:   7 Functions with finite domains
  493.    wt: 1:   5 Function notation for geometric transformations
  494.    wt: 1:   A Quadratics Summary
  495.    wt: 1:   10 quadratic exercises
  496.    wt: 1:   6 quadratics numerical approach
  497.    wt: 1:   3 quadratics factoring by inspection
  498.    wt: 1:   2 quadratics graphing in general
  499.    wt: 1:   1 quadratics graphing exercises
  500.    wt: 1:   Quadratics in 10 steps
  501.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  502.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  503.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  504.    wt: 1:   1 Polynomials Distributive Law
  505.    wt: 1:   10 arctan left inverse of tangent Definition
  506.    wt: 1:   7 arcsin left inverse of sine Definition
  507.    wt: 1:   5 Swapping Coordinates is a reflection
  508.    wt: 1:   3 Left Inverse of cosine arccos definition
  509.    wt: 1:   8 Radian Measures of Common Angles
  510.    wt: 1:   7 Radian Measures in special Triangles
  511.    wt: 1:   A Global Time and Navigation
  512.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  513.    wt: 1:   12 From Applied To Pure Mathematics
  514.    wt: 1:   6 Vectors with Coordinates
  515.    wt: 1:   Parallel Lines and Parallel Transversals
  516.    wt: 1:   Triangle Angles Sum To 180 Degrees
  517.    wt: 1:   Parallel Lines and Interior Angles
  518.    wt: 1:   Straight Lines ASA Intersection Study More
  519.    wt: 1:   Straight Lines ASA Intersection Study
  520.    wt: 1:   C Straight Lines Slope from Coordinates
  521.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  522.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  523.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  524.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  525.    wt: 1:   31 basic secant cosecant cotangent trig identities
  526.    wt: 1:   30 unit circle calculation of six trigonometric functions
  527.    wt: 1:   29 secant cosecant and cotangent for acute angles
  528.    wt: 1:   28 Expressing products of sines cosines as sums
  529.    wt: 1:   25 tangent double angle formula Slope connection
  530.    wt: 1:   24 tangent Angle Difference Formula
  531.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  532.    wt: 1:   21 sine and cosine Half Angle Formulas
  533.    wt: 1:   18 sum of sinusoidal waves as a single wave
  534.    wt: 1:   17A The complex number valued trig function cis
  535.    wt: 1:   13 Graph of tangent function many periods
  536.    wt: 1:   12 Graph of tangent function for one period
  537.    wt: 1:   8 period of tangent function
  538.    wt: 1:   2 Quadrant I reference Angles
  539.    wt: 1:   21 Logarithms Powers and Exponentials
  540.    wt: 1:   16 References and Originality Question
  541.    wt: 1:   12 cis formulas for sine cosines and tangent
  542.    wt: 1:   9 The complex number valued trig function cis
  543.    wt: 1:   6 Field Properties of Complex Number
  544.    wt: 1:   5 An Easy Proof of the Distributive Law
  545.    wt: 1:   2 Complex Numbers made easier we hope
  546.    wt: 1:   1 Rectangular Polar Coordinates Review
  547.    wt: 1:   8 Triangles Cascade Problem Solving
  548.    wt: 1:   7 Trignometric Ratios Unit Circle
  549.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  550.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  551.    wt: 1:   1 Angle Measurement with Degrees
  552.    wt: 1:   Why Trigonometry the whyslopes view
  553.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  554.    wt: 1:   11 Triangle Similarity Missing Side Problem
  555.    wt: 1:   8 Similarity of Triangles and Polygons
  556.    wt: 1:   7 Translations Rotations Reflections Dilatations
  557.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  558.    wt: 1:   2 Similarity By Design
  559.    wt: 1:   8 Mid Point Formula
  560.    wt: 1:   7 Exercises to test skill and concept mastery
  561.    wt: 1:   1 Numerical view of lines and their equations
  562.    wt: 1:   What is and is not here
  563.    wt: 1:   13 Pythagorean spatial distance formulas
  564.    wt: 1:   12 Spatial Coordinates
  565.    wt: 1:   10 Pythagorean plane distance formula
  566.    wt: 1:   7 Complex Numbers Appetizer
  567.    wt: 1:   6 Polar Multiplication and Rotation
  568.    wt: 1:   3 Rectangular Coordinates Review
  569.    wt: 1:   2 Cartesian Coordinates with signs
  570.    wt: 1:   1 Cartesian Coordinates sans signs
  571.    wt: 1:   PS H Distributive Law For Complex Numbers
  572.    wt: 1:   PS E Multiplication with Polar Coordinates
  573.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  574.    wt: 1:   17 Right Bisectors of Triangle Sides
  575.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  576.    wt: 1:   13 Angle Side Angle Failure
  577.    wt: 1:   7 Angle Side Angle
  578.    wt: 1:   6 Ruler and compass Angle Bisection
  579.    wt: 1:   3 Isometry of Triangles Congruence
  580.    wt: 1:   1 Initial Concepts and Terms
  581.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  582.    wt: 1:   4 Angles on Maps Plans drawn to scale
  583.    wt: 1:   2 Measuring Area Directly
  584.    wt: 1:   About Folder Contents
  585.    wt: 1:   musings do not puiblish real numbers
  586.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  587.    wt: 1:   22 Multiplication of Signed Numbers
  588.    wt: 1:   19 Signed Multiples of Vectors
  589.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  590.    wt: 1:   13 Arrows and Vectors in a Plane
  591.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  592.    wt: 1:   3 Location of Point in Decimal Multiplication
  593.    wt: 1:   1 Fractions with Finite Decimal Expansions
  594.    wt: 1:   5 Distributive Law for Whole Numbers
  595.    wt: 1:   3 Multiplicative Counting Skills Principles
  596.    wt: 1:   5 Areas of Rectangles Revisited
  597.    wt: 1:   4 Fraction Operations Axiomatic Development
  598.    wt: 1:   2 Fraction Operations Physical Development
  599.    wt: 1:   4 Rates Ratios and Proporitionality
  600.    wt: 1:   5 Triangle Area Formula Backwards
  601.    wt: 1:   3 Product Axioms Two Forms
  602.    wt: 1:   3 More and Less Than with Unlike Signs
  603.    wt: 1:   15 Real Number Division
  604.    wt: 1:   10 Real Number Lengths and Signs
  605.    wt: 1:   9 Coordinates for Regions in Space
  606.    wt: 1:   7 Real Numbers as Line Cordinates
  607.    wt: 1:   6 Unsigned Real Numbers
  608.    wt: 1:   1 Whole and Natural Numbers
  609.    wt: 1:   4 Changing Letters
  610.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  611.    wt: 1:   4 GE III Animated Examples
  612.    wt: 1:   5 Algebraic Solutions Introduction
  613.    wt: 1:   Skill Development Notes
  614.    wt: 1:   Using Letters for Physical Quantities
  615.    wt: 1:   10 Volume of Pyramid
  616.    wt: 1:   8 Compound Interest Formula Evaluation
  617.    wt: 1:   8 Sets of Numbers
  618.    wt: 1:   7 Cautious or Safe Set Construction
  619.    wt: 1:   6 Power Set Notation
  620.    wt: 1:   2 Venn Diagrams
  621.    wt: 1:   1 Finite Sets
  622.    wt: 1:   5 Talking about Numbers and Quantities
  623.    wt: 1:   4 A Brief Story of numbers and algebra
  624.    wt: 1:   About Folder Contents
  625.    wt: 1:   2 More and Less Than with Unlike Signs
  626.    wt: 1:   13 GCD from given Prime Factorization
  627.    wt: 1:   6 GCD from Prime
  628.    wt: 1:   5 Common Divisors 60 45 via Prime
  629.    wt: 1:   4 LCM of 8 and 10 via Prime
  630.    wt: 1:   1 Least Common Multiples LCM Introduction
  631.    wt: 1:   12 GCD 2700 288 via Prime
  632.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  633.    wt: 1:   4 Counting with Trees Product Rule Take I
  634.    wt: 1:   3 Counting with Tables and Trees II
  635.    wt: 1:   2 Counting with Tables and Trees I
  636.    wt: 1:   11 What are real lengths and numbers
  637.    wt: 1:   9 subtracting signed numbers
  638.    wt: 1:   8 multiplying signed numbers
  639.    wt: 1:   5 lengths and signs of numbers
  640.    wt: 1:   3 Multiplying Units and Numbers
  641.    wt: 1:   2 Equality and Units
  642.    wt: 1:   D Three Term Ratios
  643.    wt: 1:   B Fractions and Two Term Ratios
  644.    wt: 1:   22 Complex Compound Fractions
  645.    wt: 1:   21 Reciprocals for Fractions and Wholes
  646.    wt: 1:   6 Multiplication of Mixed Numbers
  647.    wt: 1:   B Integer Long Division Multiple Choices
  648.    wt: 1:   8 Multiplication by Signed Numbers Integers
  649.    wt: 1:   1 Integers as Coordinates
  650.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  651.    wt: 1:   26 Divisibility by 2 3 5 Example
  652.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  653.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  654.    wt: 1:   19 video Prime Factorization Unique
  655.    wt: 1:   18 video Count Factors given Prime Factorization
  656.    wt: 1:   16 video Factors of 980 using prime
  657.    wt: 1:   15 video Factors of 20 using Prime Factorization
  658.    wt: 1:   14 video Factors of 24 Take II
  659.    wt: 1:   13 video Factors of 24 using prime
  660.    wt: 1:   8 video Prime Factorization upto 19
  661.    wt: 1:   7 Calculator Usage Notes and Cautions
  662.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  663.    wt: 1:   5 Prime Factorization and a Square Rule
  664.    wt: 1:   2 Prime and Composites less than 16
  665.    wt: 1:   12 Why Long Division Works Take III
  666.    wt: 1:   9 Why Long Division Works Take II
  667.    wt: 1:   7 Long Divison Mistake Catching
  668.    wt: 1:   1 Divsion Physical Examples
  669.    wt: 1:   6 Multiplication Commutes Order Not Important
  670.    wt: 1:   5 Decimal Fraction Multiplication
  671.    wt: 1:   3 More One Digit Multipliers
  672.    wt: 1:   2 One Digit Multipliers
  673.    wt: 1:   Subtraction Another Video Lesson
  674.    wt: 1:   9 22 Minute Subtraction Review Video
  675.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  676.    wt: 1:   8 What skills and work habits to require
  677.    wt: 1:   2 Decimal Counting Practices
  678.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  679.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  680.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  681.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  682.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  683.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  684.    wt: 1:   Quick history of numbers and algebra
  685.    wt: 1:   About folder contents
  686.    wt: 1:   013 Travel Time Tables
  687.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  688.    wt: 1:   6 How long is a million seconds
  689.    wt: 1:   5 Conversion Arithmetic
  690.    wt: 1:   4 Mixing and Changing Units of Time
  691.    wt: 1:   3 Units and Lengths of Time
  692.    wt: 1:   Example 1 volume of a pyramid
  693.    wt: 1:   Volume of Solid by Cross Sections Lesson
  694.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  695.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  696.    wt: 1:   Area Between Curves Lesson Take 2
  697.    wt: 1:   Area Between Curves Lesson Take 1
  698.    wt: 1:   A Related Material in Volume 3
  699.    wt: 1:   5 Area Under Curve Exercise
  700.    wt: 1:   4 Definite Integrals Evaluation Exercises
  701.    wt: 1:   2 Indefinite Integrals Exercises
  702.    wt: 1:   A Related lessons in Volume 3
  703.    wt: 1:   A Chain Rule Real Player video examples
  704.    wt: 1:   34 Derivative of exponential function
  705.    wt: 1:   33 Chain Rule Real Player video examples
  706.    wt: 1:   31 Derivatives of inverse functions
  707.    wt: 1:   29 Chain Rule Optional Reading
  708.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  709.    wt: 1:   24 Chain Rule Animated Examples
  710.    wt: 1:   18 Chain Rule Introduction
  711.    wt: 1:   8 Differentiation of polynomials
  712.    wt: 1:   6 Power rule from product rule
  713.    wt: 1:   5 Product Rule
  714.    wt: 1:   3 Motivation for Limit Definition Take 2
  715.    wt: 1:   2 Motivation for Limit Definition Take 1
  716.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  717.    wt: 1:   9 Limits Continuity and Composition
  718.    wt: 1:   8 Four Animated Examples
  719.    wt: 1:   3 Decimal insights for limits continuity convergence
  720.    wt: 1:   2 Algebraic codification
  721.    wt: 1:   1 Numerical introduction
  722.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  723.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  724.    wt: 1:   G.3 Constant Difference Theorem Proof
  725.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  726.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  727.    wt: 1:   F.3 Intermediate Value Theorem
  728.    wt: 1:   F.2 Closed Range Theorem
  729.    wt: 1:   D2 Limits of Monotone Sequences
  730.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  731.    wt: 1:   A1. Introduction
  732.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  733.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  734.    wt: 1:   Chapter 23 Links To Trigonometry
  735.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  736.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  737.    wt: 1:   Chapter 12. Units and Slopes
  738.    wt: 1:   Chapter 10 Slopes and Units
  739.    wt: 1:   Chapter 8. Slope Interpretation
  740.    wt: 1:   Chapter 7 Slopes and Velocity
  741.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  742.    wt: 1:   Chapter 2. Slopes and Ski Trails
  743.    wt: 1:   Chapter 1.Introduction
  744.    wt: 1:   Fall 1983 Calculus Appetizer
  745.    wt: 1:   Foreword
  746.    wt: 1:   Postscript More on Better Performance
  747.    wt: 1:   Postscript For Better Performance
  748.    wt: 1:   Appendix B. How To Learn
  749.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  750.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  751.    wt: 1:   Chapter 25. Mathematical Induction Examples
  752.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  753.    wt: 1:   Chapter 11. Why Shorthand
  754.    wt: 1:   Solutions For Arithmetic Exercises
  755.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  756.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  757.    wt: 1:   Foreword
  758.    wt: 1:   Annotated Links to Material Elsehwere
  759.    wt: 1:   Postscript B Mathematics Education References
  760.    wt: 1:   Chapter 9 The Two Ends
  761.    wt: 1:   Chapter 8 Modern Instruction
  762.    wt: 1:   Chapter 7 Two Treatments of Geometry
  763.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  764.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  765.    wt: 1:   Chapter 3 Algebra Difficulties
  766.    wt: 1:   Chapter 2 For and Against Mathematics
  767.    wt: 1:   Chapter 1 Introduction
  768.    wt: 1:   Foreword
  769.    wt: 1:   Postscript B More on Story Telling and Reason
  770.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  771.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  772.    wt: 1:   Chapter 11 Accidental Patterns
  773.    wt: 1:   Chapter 5 Deception
  774.    wt: 1:   Chapter 2 Skill Development
  775.    wt: 1:   Chapter 1 Introduction
  776.    wt: 1:   Foreword
  777.    wt: 1:   O On Learning Mathematics and Science
  778.    wt: 1:   N Mathematics Prepare for College Studies
  779.    wt: 1:   N Improving Marks on Tests and Finals
  780.    wt: 1:   J. More on written work and showing skill
  781.    wt: 1:   I. Logic and language skills
  782.    wt: 1:   H Jigsaw puzzles and problem solving
  783.    wt: 1:   E. When and how to correct errors
  784.    wt: 1:   D. Check work a must with a caution
  785.    wt: 1:   C. Domino effect of being careful
  786.    wt: 1:   B. Domino effect of errors
  787.    wt: 1:   A. Skill has to be seen to believed
  788.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  789.    wt: 1:   Chapter 2 Why Sets
  790.    wt: 1:   Chapter 1 Arithmetic
  791.    wt: 1:   7 Games and Activities for Instruction
  792.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  793.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  794.    wt: 1:   Mathematics Education References
  795.    wt: 1:   Mathematics Education References
  796.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  797.    wt: 1:   Systematic Algebra Skill Development Missing Links
  798.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  799.    wt: 1:   The Math Forum and Site Content

Extended Search

1091 matches:

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

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

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

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

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