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.

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 6:   11 Squares and Square Roots/
  3.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 4:   11 Parallel Straight Lines and Transversals/
  5.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 4:   A Decimal Counting and Adding Methods/
  7.    wt: 4:   1 Decimal Place Value/
  8.    wt: 3:   Mathematics Education Essays/
  9.    wt: 3:   8 Arithmetic with Signed Numbers/
  10.    wt: 3:   7 Arithmetic and Fractions with Units/
  11.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 3:   D Decimal Long Division Methods/
  13.    wt: 3:   C Decimal Multiplication Methods/
  14.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  15.    wt: 3:   2 Arithmetic with Decimals/
  16.    wt: 3:   13 Lessons on Limits and Continuity/
  17.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 2:   Volume 1A Regles et modeles/
  19.    wt: 2:   1 Five Polynomial Operations/
  20.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  21.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 2:   13 Vectors/
  23.    wt: 2:   12 Function Translating and Rescaling/
  24.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 2:   1 Maps Plans Measurement/
  26.    wt: 2:   10 Examples of Algebraic Reasoning/
  27.    wt: 2:   Step 1 Stick diagram and fractions/
  28.    wt: 2:   9 Combinatorics Trees Tables and Products/
  29.    wt: 2:   6 Fractions and Ratios/
  30.    wt: 2:   5 Integers/
  31.    wt: 2:   3 Prime Factorization Skills/
  32.    wt: 2:   Arithmetic and Number Theory Skills/
  33.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  34.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  35.    wt: 1:   Archives/
  36.    wt: 1:   Mathematics Skills Year by Year/
  37.    wt: 1:   4 Lines and Slopes Take 1/
  38.    wt: 1:   1 Working With Sets/
  39.    wt: 1:   5 Lessons on Integration/
  40.    wt: 1:   4 Lessons on Using Derivatives/
  41.    wt: 1:   38 Lessons on Calculating Derivatives/
  42.    wt: 1:   70 Calculus Starter Lessons/
  43.    wt: 1:   Volume 1A Pattern Based Reason/
  44.    wt: 1:   Volume 1 Elements of Reason/
  45.    wt: 1:   Mathematics 506 Lessons/
  46.    wt: 1:   Secondary Mathematics A Practical Approach/
  47.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  48.    wt: 1:   Mathematics Skill Development Framework/

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485 matches:

  1.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  3.    wt: 3:   Skills Chapter 1 Arithmetic
  4.    wt: 3:   11 pure mathematics
  5.    wt: 3:   Applied Maths Program14092009 POMME variant
  6.    wt: 3:   Ages 12 to 14 Arithmetic
  7.    wt: 3:   Ages 10 to 12 Arithmetic
  8.    wt: 3:   12 From Applied To Pure Mathematics
  9.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  10.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  11.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  12.    wt: 3:   1 Remainder Arithmetic Modulo 10
  13.    wt: 3:   Chapter 11. Graphing Slope versus Position
  14.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  15.    wt: 3:   Chapter 11. Why Shorthand
  16.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  17.    wt: 3:   Chapter 11 Elementary Instruction
  18.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  19.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  20.    wt: 3:   Chapter 11 Accidental Patterns
  21.    wt: 3:   Chapter 1 Arithmetic
  22.    wt: 2:   Appendix 2 primary school Arithmetic 01
  23.    wt: 2:   1 arithmetic with unsigned numbers
  24.    wt: 2:   Postscript 2007 01 10
  25.    wt: 2:   Leaner mathematics curriculum
  26.    wt: 2:   1 Conductance Resistance Duality01
  27.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  28.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  29.    wt: 2:   18 Primary School Mathematics
  30.    wt: 2:   16 Secondary Mathematics Tips
  31.    wt: 2:   12 Goals and Objectives For Mathematics
  32.    wt: 2:   11 Help and Defend Your Child or Teens Education
  33.    wt: 2:   Ages 12 to 14 Skills with take home value
  34.    wt: 2:   Ages 12 to 14 Geometry
  35.    wt: 2:   Ages 10 to 12 Geometry
  36.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  37.    wt: 2:   11 Function Domain Range Source and Targets
  38.    wt: 2:   11 Growth and Decay in Biology
  39.    wt: 2:   11 arctan left inverse of tangent Graph
  40.    wt: 2:   11 Component Method
  41.    wt: 2:   11 Straight Lines Graphing y=mx
  42.    wt: 2:   11 tangent function undefined when terminal side vertical
  43.    wt: 2:   11 sine and cosine double triple angle formulas
  44.    wt: 2:   11 Triangle Similarity Missing Side Problem
  45.    wt: 2:   11 A Partial Summary
  46.    wt: 2:   11 Triangle Inequality
  47.    wt: 2:   18 Triangle Similarity Take 1
  48.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  49.    wt: 2:   11 Triangle Construction Fails
  50.    wt: 2:   11 Signed Number Addition and Addition Properties
  51.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  52.    wt: 2:   11 Real Number Addition
  53.    wt: 2:   11 Volume of Sphere
  54.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  55.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  56.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  57.    wt: 2:   11 What are real lengths and numbers
  58.    wt: 2:   11 Simplification an Algebraic View
  59.    wt: 2:   D Remainders Modulo 11 Pair Rule
  60.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  61.    wt: 2:   11 Adding Integers Formulas and Examples
  62.    wt: 2:   21 Remainder Arithmetic Modulo 3
  63.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  64.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  65.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  66.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  67.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  68.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  69.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  70.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  71.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  72.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  73.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  74.    wt: 2:   11 Efficient Square Rule Use
  75.    wt: 2:   11 Another Single Digit Divisor Example
  76.    wt: 2:   1 Why 3 times 5 gives 15
  77.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  78.    wt: 2:   11 Place Value SI Standard International way
  79.    wt: 2:   011 Division of Time Intervals By Numbers
  80.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  81.    wt: 2:   13 sine and cosine derivatives 1st step
  82.    wt: 2:   11 Quotient rule
  83.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  84.    wt: 2:   11 Limits at infinity Three Examples
  85.    wt: 2:   Chapter 21 Arrow Addition
  86.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  87.    wt: 2:   Chapter 18. Slopes Areas Integration
  88.    wt: 2:   Chapter 17. Area Approximation
  89.    wt: 2:   Chapter 16. Velocity Approximation
  90.    wt: 2:   Chapter 15. Slope Approximation
  91.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  92.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  93.    wt: 2:   Chapter 13. Acceleration
  94.    wt: 2:   Chapter 12. Units and Slopes
  95.    wt: 2:   Chapter 10 Slopes and Units
  96.    wt: 2:   Chapter 1.Introduction
  97.    wt: 2:   Chapter 31 Direct and Indirect Reason
  98.    wt: 2:   Chapter 21. Third Reading Guide
  99.    wt: 2:   Chapter 19. Functions and Sets
  100.    wt: 2:   Chapter 18. Rules for Algebra
  101.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  102.    wt: 2:   Chapter 16. Painless Theorem Proving
  103.    wt: 2:   Chapter 15. Solving Linear Equations
  104.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  105.    wt: 2:   Chapter 13. Second Reading Guide
  106.    wt: 2:   Chapter 12. Shorthand Usage Guide
  107.    wt: 2:   Chapter 10 Describing and Changing Calculations
  108.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  109.    wt: 2:   Chapter 12 Four Phases
  110.    wt: 2:   Chapter 10 Transition
  111.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  112.    wt: 2:   Chapter 2 For and Against Mathematics
  113.    wt: 2:   Chapter 1 Introduction
  114.    wt: 2:   Chapter 21 Occurrence Tables
  115.    wt: 2:   Chapter 18 Sense and Knowledge
  116.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  117.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  118.    wt: 2:   Chapter 15 Objective Processes
  119.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  120.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  121.    wt: 2:   Chapter 10 Responsibility
  122.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  123.    wt: 2:   Chapter 1 Introduction
  124.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  125.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  126.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  127.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  128.    wt: 1:   Appendix 1 primary and preschool mathematic
  129.    wt: 1:   E LAMP Introduction Modern Mathematics
  130.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  131.    wt: 1:   Skills Chapter 5 Calculus
  132.    wt: 1:   Skills Chapter 4 Logic
  133.    wt: 1:   Skills Chapter 3 Algebra
  134.    wt: 1:   Skills Chapter 2 Geometry
  135.    wt: 1:   Skills Chapter 0 Introduction
  136.    wt: 1:   10 statistics
  137.    wt: 1:   3 Euclidean Geometry Leanly
  138.    wt: 1:   2 arithmetic with signed numbers
  139.    wt: 1:   Math Ed if it must be short make it lean effective
  140.    wt: 1:   Mathematics Education Professors
  141.    wt: 1:   mathematics in context
  142.    wt: 1:   Secondary Three Mathematics
  143.    wt: 1:   Secondary Two Mathematics
  144.    wt: 1:   Secondary One Mathematics
  145.    wt: 1:   mathematics curriculum shifts
  146.    wt: 1:   three goals for Mathematics Education
  147.    wt: 1:   05 13 OldSiteEntrancePage
  148.    wt: 1:   04 29 New Mathematics Curriculum
  149.    wt: 1:   02 21 words for teachers
  150.    wt: 1:   02 20 mathematics education references
  151.    wt: 1:   three aims for mathematics students
  152.    wt: 1:   mathematics instruction in general
  153.    wt: 1:   Education in mathematics science and technology
  154.    wt: 1:   three kinds of reason in mathematics
  155.    wt: 1:   need for a mixed mathematics curriculum
  156.    wt: 1:   words for mathematics instructor
  157.    wt: 1:   chapitre 12 00 les iles et division
  158.    wt: 1:   chapitre 07 01 principle D induction mathematique
  159.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  160.    wt: 1:   chapitre 04 01 Premiere enigme
  161.    wt: 1:   chapitre 01 00 Introduction
  162.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  163.    wt: 1:   1 Energy Power Heat06
  164.    wt: 1:   A Energy Power01
  165.    wt: 1:   C Wire Resistance Calculation01
  166.    wt: 1:   A Wire Resistance Qualitative01
  167.    wt: 1:   2 Unlike resistors in parallel01
  168.    wt: 1:   1 Like resistors in series
  169.    wt: 1:   G Series Circuit01
  170.    wt: 1:   B Electromotive force conventional current01
  171.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  172.    wt: 1:   22 Student Centered Highschool Mathematics
  173.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  174.    wt: 1:   17 Math Booklets for children and young teenagers
  175.    wt: 1:   15 Counting For Parents
  176.    wt: 1:   14 Multiplication and Times Tables
  177.    wt: 1:   13 Addition and Addition Tables
  178.    wt: 1:   10 Ends values for work study instruction
  179.    wt: 1:   1 Speaking Skills
  180.    wt: 1:   Ages 9 to 10
  181.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  182.    wt: 1:   sign monoticity analysis example 1
  183.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  184.    wt: 1:   19 Horizontal line rule and method
  185.    wt: 1:   18 Vertical Line Rule and Method
  186.    wt: 1:   17 Function maxima minima and their location
  187.    wt: 1:   16 Increasing or decreasing on intervals
  188.    wt: 1:   15 Sign analysis of functions
  189.    wt: 1:   14 Surjections Injections Bijections
  190.    wt: 1:   13 From one to one to many to one
  191.    wt: 1:   12 Function Domain Recognition Exercises
  192.    wt: 1:   10 Interval Notation
  193.    wt: 1:   4 Function notation in and beyond mathematics
  194.    wt: 1:   1 Geometric Introduction of Function Notation
  195.    wt: 1:   10 quadratic exercises
  196.    wt: 1:   1 quadratics graphing exercises
  197.    wt: 1:   Quadratics in 10 steps
  198.    wt: 1:   10 Exponential Growth and Decay Models
  199.    wt: 1:   1 Calculator Starter Exercises
  200.    wt: 1:   1 Polynomials Distributive Law
  201.    wt: 1:   16 cotangent function Definition Graph and Inverse
  202.    wt: 1:   15 cosecant function Definition Graph and Inverse
  203.    wt: 1:   14 secant function Definition Graph and Inverse
  204.    wt: 1:   13 cosecant function Definition Graph and Inverse
  205.    wt: 1:   12 motivation for term arctan
  206.    wt: 1:   10 arctan left inverse of tangent Definition
  207.    wt: 1:   1 cosine function properties
  208.    wt: 1:   1 Degrees and Radians Introduction
  209.    wt: 1:   15 Dot and Cross Product
  210.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  211.    wt: 1:   13 Velocity Vectors in Physics
  212.    wt: 1:   10 Parallelogram Addition Method
  213.    wt: 1:   1 Unsigned Coordinates
  214.    wt: 1:   1 graphing y=f(x a)
  215.    wt: 1:   Triangle Angles Sum To 180 Degrees
  216.    wt: 1:   14 Straight Lines Equations General Case
  217.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  218.    wt: 1:   12 Straight Lines Graphing mx plus b
  219.    wt: 1:   10 Straight Lines through Origin Equations More
  220.    wt: 1:   1 Straight Lines Slope Concept
  221.    wt: 1:   17 tangent function angle sum formulas
  222.    wt: 1:   31 basic secant cosecant cotangent trig identities
  223.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  224.    wt: 1:   21 sine and cosine Half Angle Formulas
  225.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  226.    wt: 1:   18 sum of sinusoidal waves as a single wave
  227.    wt: 1:   17G Pythagorean Theorem Converse
  228.    wt: 1:   17F Law of cosines
  229.    wt: 1:   17E Trig Formulas for dot and cross Products
  230.    wt: 1:   17D cis formulas for sine cosines and tangent
  231.    wt: 1:   17C sine and cosine double triple angle formulas
  232.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  233.    wt: 1:   17A The complex number valued trig function cis
  234.    wt: 1:   16 Right Triangle Complementary Angle Relations
  235.    wt: 1:   15 sine cosine Complementary Angle Relations
  236.    wt: 1:   14 cosine even and sine and tangent are odd
  237.    wt: 1:   13 Graph of tangent function many periods
  238.    wt: 1:   12 Graph of tangent function for one period
  239.    wt: 1:   10 Graphs of sines and cosines many periods
  240.    wt: 1:   1 Unit Points Reflections Rotations
  241.    wt: 1:   21 Logarithms Powers and Exponentials
  242.    wt: 1:   19 N th Roots of Unity
  243.    wt: 1:   18 Sixth Roots of Unity
  244.    wt: 1:   17 Cube Roots of unity
  245.    wt: 1:   16 References and Originality Question
  246.    wt: 1:   15 Pythagorean Theorem Converse
  247.    wt: 1:   14 Law of cosines
  248.    wt: 1:   13 Trig Formulas for dot and cross Products
  249.    wt: 1:   12 cis formulas for sine cosines and tangent
  250.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  251.    wt: 1:   1 Rectangular Polar Coordinates Review
  252.    wt: 1:   1 Angle Measurement with Degrees
  253.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  254.    wt: 1:   12 Triangles Similarity More Problems
  255.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  256.    wt: 1:   1 Early Concept of Like or Similar Shapes
  257.    wt: 1:   12 Links Lessons elsewhere
  258.    wt: 1:   10 Midpoint of [a b] and [b a]
  259.    wt: 1:   1 Numerical view of lines and their equations
  260.    wt: 1:   13 Pythagorean spatial distance formulas
  261.    wt: 1:   12 Spatial Coordinates
  262.    wt: 1:   10 Pythagorean plane distance formula
  263.    wt: 1:   1 Cartesian Coordinates sans signs
  264.    wt: 1:   21 Parallelograms
  265.    wt: 1:   19 Right Triangle Similarity
  266.    wt: 1:   17 Right Bisectors of Triangle Sides
  267.    wt: 1:   16 Angles Subtended By Chords and Diameters
  268.    wt: 1:   14 Parallel Lines Postulate
  269.    wt: 1:   13 Angle Side Angle Failure
  270.    wt: 1:   12 Side Angle Side Failure
  271.    wt: 1:   10 Dropping a perpendicular to line
  272.    wt: 1:   1 Initial Concepts and Terms
  273.    wt: 1:   1 Length Measurement
  274.    wt: 1:   A Modular and Remainder Arithmetic
  275.    wt: 1:   A Signed Number Arithmetic Review
  276.    wt: 1:   21 Addition of Multiples of a Single Vector
  277.    wt: 1:   19 Signed Multiples of Vectors
  278.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  279.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  280.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  281.    wt: 1:   15 Head to Tails in place Addition Associative
  282.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  283.    wt: 1:   13 Arrows and Vectors in a Plane
  284.    wt: 1:   12 Real Numbers Line Signed Coordinates
  285.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  286.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  287.    wt: 1:   1 Fractions with Finite Decimal Expansions
  288.    wt: 1:   1 The Counting Origins of Numbers
  289.    wt: 1:   1 What is Proportionality
  290.    wt: 1:   1 Changing Calculations
  291.    wt: 1:   1 Equivalent Computation Rules
  292.    wt: 1:   1 Real Numbers Comparison
  293.    wt: 1:   16 Real Numbers Comparison
  294.    wt: 1:   15 Real Number Division
  295.    wt: 1:   14 Real Number Multiplication
  296.    wt: 1:   13 Real Number Subtraction
  297.    wt: 1:   12 Real Number Additive Inverses or Negatives
  298.    wt: 1:   10 Real Number Lengths and Signs
  299.    wt: 1:   1 Whole and Natural Numbers
  300.    wt: 1:   1 Formulas Dependence and Function Notation
  301.    wt: 1:   1 GE Substitution four examples
  302.    wt: 1:   1 Essentially One Unknown
  303.    wt: 1:   1 Proper Equal Sign Usage
  304.    wt: 1:   10 One Example
  305.    wt: 1:   13 Naming Identifying Formulas with Words
  306.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  307.    wt: 1:   10 Volume of Pyramid
  308.    wt: 1:   1 Written work formats for developing and showing skill
  309.    wt: 1:   1 Finite Sets
  310.    wt: 1:   3 Adding Words To Arithmetic
  311.    wt: 1:   1 Three Skills For Algebra
  312.    wt: 1:   arithmetic videos Real Player Format
  313.    wt: 1:   1 More and Less Than for Counts and Measures
  314.    wt: 1:   1 Squares and Square Roots Introduction
  315.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  316.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  317.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  318.    wt: 1:   13 GCD from given Prime Factorization
  319.    wt: 1:   4 LCM of 8 and 10 via Prime
  320.    wt: 1:   1 Least Common Multiples LCM Introduction
  321.    wt: 1:   12 GCD 2700 288 via Prime
  322.    wt: 1:   1 Counting and Counting Methods I
  323.    wt: 1:   10 dividing signed numbers
  324.    wt: 1:   1 Addition and Subtraction with Units
  325.    wt: 1:   21 Working With Signs
  326.    wt: 1:   21 Reciprocals for Fractions and Wholes
  327.    wt: 1:   19 Dividing Fractions How TO
  328.    wt: 1:   18 Efficient Ways to Multiply
  329.    wt: 1:   17 Efficient Ways to Add and Subtract
  330.    wt: 1:   16 Addition Subtraction Comparision Compared
  331.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  332.    wt: 1:   14 Adding and Subtracting with Like Denominators
  333.    wt: 1:   13 Fraction Comparison Algebraic View
  334.    wt: 1:   12 Fraction Comparison
  335.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  336.    wt: 1:   1 What is a fraction Take II
  337.    wt: 1:   1 What is a fraction
  338.    wt: 1:   13 Subtraction with Additive Inverse
  339.    wt: 1:   12 Adding Integers More Examples
  340.    wt: 1:   10 Integer Multiplication Formulas
  341.    wt: 1:   1 Integers as Coordinates
  342.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  343.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  344.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  345.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  346.    wt: 1:   23 Remainder Arithmetic Modulo 2
  347.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  348.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  349.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  350.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  351.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  352.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  353.    wt: 1:   5 Remainder Arithmetic Modulo 5
  354.    wt: 1:   19 video Prime Factorization Unique
  355.    wt: 1:   18 video Count Factors given Prime Factorization
  356.    wt: 1:   17 Identify and Count Factors using Primes
  357.    wt: 1:   16 video Factors of 980 using prime
  358.    wt: 1:   15 video Factors of 20 using Prime Factorization
  359.    wt: 1:   14 video Factors of 24 Take II
  360.    wt: 1:   13 video Factors of 24 using prime
  361.    wt: 1:   12 LCD GCD and LCM using Primes
  362.    wt: 1:   10 video Prime Factorization upto 23 squared
  363.    wt: 1:   9 video Prime Factorization upto 19 squared
  364.    wt: 1:   8 video Prime Factorization upto 19
  365.    wt: 1:   2 Prime and Composites less than 16
  366.    wt: 1:   1 video how Products are bigger than factor
  367.    wt: 1:   Long Division forwards and backwards Example 1
  368.    wt: 1:   12 Why Long Division Works Take III
  369.    wt: 1:   10 Division by Five Long and Short Ways
  370.    wt: 1:   1 Divsion Physical Examples
  371.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  372.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  373.    wt: 1:   1. Explaining Addition Table
  374.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  375.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  376.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  377.    wt: 1:   Exact Arithmetic Wholes and Fractions
  378.    wt: 1:   The 12 Times Table Visually
  379.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  380.    wt: 1:   016 Numbering Occidental Calendar Days
  381.    wt: 1:   015 School and work day counting tables
  382.    wt: 1:   014 Counting Days with Calendars
  383.    wt: 1:   013 Travel Time Tables
  384.    wt: 1:   012 Division of Time Intervals by Time Intervals
  385.    wt: 1:   010 Repeated Addition of Time Intervals
  386.    wt: 1:   5 Conversion Arithmetic
  387.    wt: 1:   1 Intro of Kids To Time Date Skills
  388.    wt: 1:   Example 1 volume of a pyramid
  389.    wt: 1:   Example 1. Area Between x and x squared
  390.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  391.    wt: 1:   Example 1
  392.    wt: 1:   Area Between Curves Lesson Take 1
  393.    wt: 1:   1 Chain Rule in Reverse Integration Method
  394.    wt: 1:   31 Derivatives of inverse functions
  395.    wt: 1:   21 Chain Rule for powers
  396.    wt: 1:   19 Chain Rule for linear functions
  397.    wt: 1:   18 Chain Rule Introduction
  398.    wt: 1:   17 Derivatives of quotients of sine and cosine
  399.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  400.    wt: 1:   15 sine and cosine derivatives 3rd step
  401.    wt: 1:   14 sine and cosine derivatives 2nd step
  402.    wt: 1:   12 Quotient rule examples
  403.    wt: 1:   10 Power rule for negative integers
  404.    wt: 1:   2 Motivation for Limit Definition Take 1
  405.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  406.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  407.    wt: 1:   10 Three one sided limits with infinite values
  408.    wt: 1:   1 Numerical introduction
  409.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  410.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  411.    wt: 1:   F.1 What Functions are Continuous
  412.    wt: 1:   E1 Error Control Inequalities
  413.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  414.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  415.    wt: 1:   A1. Introduction
  416.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  417.    wt: 1:   Chapter 23 Links To Trigonometry
  418.    wt: 1:   Chapter 22 Complex Numbers
  419.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  420.    wt: 1:   Chapter 9 About First Courses in Calculus
  421.    wt: 1:   Chapter 8. Slope Interpretation
  422.    wt: 1:   Chapter 7 Slopes and Velocity
  423.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  424.    wt: 1:   Chapter 5. Slope Sign Tests
  425.    wt: 1:   Chapter 4. More Slope Sign Analysis
  426.    wt: 1:   Chapter 3. Slope Sign Analysis
  427.    wt: 1:   Chapter 2. Slopes and Ski Trails
  428.    wt: 1:   Fall 1983 Calculus Appetizer
  429.    wt: 1:   Appendix E. How To Study Mathematics and Why
  430.    wt: 1:   Chapter 30 Truth Tables
  431.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  432.    wt: 1:   Chapter 28 Occurrence Tables
  433.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  434.    wt: 1:   Chapter 25. Mathematical Induction Examples
  435.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  436.    wt: 1:   Chapter 23. Notation For Sums
  437.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  438.    wt: 1:   Chapter 20. Degrees and Radians
  439.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  440.    wt: 1:   Chapter 8 Three Skills For Algebra
  441.    wt: 1:   Solutions For Arithmetic Exercises
  442.    wt: 1:   Chapter 6 Change of Language
  443.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  444.    wt: 1:   Chapter 4 Longer Chains of Reason
  445.    wt: 1:   Chapter 3 Chains of Reason
  446.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  447.    wt: 1:   Postscript B Mathematics Education References
  448.    wt: 1:   Chapter 9 The Two Ends
  449.    wt: 1:   Chapter 8 Modern Instruction
  450.    wt: 1:   Chapter 7 Two Treatments of Geometry
  451.    wt: 1:   Chapter 5 Four References
  452.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  453.    wt: 1:   Chapter 3 Algebra Difficulties
  454.    wt: 1:   Chapter 24 Direct and Indirect Reason
  455.    wt: 1:   Chapter 23 Truth Tables
  456.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  457.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  458.    wt: 1:   Chapter 8 Change of Language
  459.    wt: 1:   Chapter 7 Longer Chains of Reason
  460.    wt: 1:   Chapter 6 Chains of Reason
  461.    wt: 1:   Chapter 5 Deception
  462.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  463.    wt: 1:   Chapter 2 Skill Development
  464.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  465.    wt: 1:   R Why Learn Mathematics Skills
  466.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  467.    wt: 1:   O On Learning Mathematics and Science
  468.    wt: 1:   N Mathematics Prepare for College Studies
  469.    wt: 1:   M Words to extend arithmetic
  470.    wt: 1:   Chapter 8 Skipped Topics and Why
  471.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  472.    wt: 1:   Chapter 6 More Algebra and Geometry
  473.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  474.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  475.    wt: 1:   Chapter 3 Algebra Starter Lessons
  476.    wt: 1:   Chapter 2 Why Sets
  477.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  478.    wt: 1:   Helping the Blind in Logic and Mathematics
  479.    wt: 1:   Mathematics Education References
  480.    wt: 1:   Mathematics Education References
  481.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  482.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  483.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  484.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  485.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Extended Search

922 matches:

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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