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

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

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

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

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

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

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

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53 matches:

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

Web Page Search

523 matches:

  1.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 3:   11 pure mathematics
  3.    wt: 3:   12 Goals and Objectives For Mathematics
  4.    wt: 3:   17E Trig Formulas for dot and cross Products
  5.    wt: 3:   17D cis formulas for sine cosines and tangent
  6.    wt: 3:   13 Trig Formulas for dot and cross Products
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   11 sine and cosine double triple angle formulas
  9.    wt: 3:   1 Written work formats for developing and showing skill
  10.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  11.    wt: 3:   11 Adding Integers Formulas and Examples
  12.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  13.    wt: 2:   Postscript 2007 01 10
  14.    wt: 2:   three goals for Mathematics Education
  15.    wt: 2:   02 21 words for teachers
  16.    wt: 2:   three aims for mathematics students
  17.    wt: 2:   formal or informal peer review
  18.    wt: 2:   need for a mixed mathematics curriculum
  19.    wt: 2:   Prequel In For A Penny In For A Pound
  20.    wt: 2:   words for mathematics instructor
  21.    wt: 2:   1 Conductance Resistance Duality01
  22.    wt: 2:   B Electromotive force conventional current01
  23.    wt: 2:   22 Student Centered Highschool Mathematics
  24.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  25.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  26.    wt: 2:   18 Primary School Mathematics
  27.    wt: 2:   17 Math Booklets for children and young teenagers
  28.    wt: 2:   16 Secondary Mathematics Tips
  29.    wt: 2:   15 Counting For Parents
  30.    wt: 2:   11 Help and Defend Your Child or Teens Education
  31.    wt: 2:   10 Ends values for work study instruction
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   Ages 12 to 14 Geometry
  34.    wt: 2:   Ages 12 to 14 Arithmetic
  35.    wt: 2:   Ages 10 to 12 Geometry
  36.    wt: 2:   Ages 10 to 12 Arithmetic
  37.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  38.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  39.    wt: 2:   11 Function Domain Range Source and Targets
  40.    wt: 2:   5 Function notation for geometric transformations
  41.    wt: 2:   11 Growth and Decay in Biology
  42.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  43.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  44.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  45.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  46.    wt: 2:   12 motivation for term arctan
  47.    wt: 2:   11 arctan left inverse of tangent Graph
  48.    wt: 2:   12 From Applied To Pure Mathematics
  49.    wt: 2:   11 Component Method
  50.    wt: 2:   11 Straight Lines Graphing y=mx
  51.    wt: 2:   17 tangent function angle sum formulas
  52.    wt: 2:   26 Formulas for products of sines and cosines
  53.    wt: 2:   21 sine and cosine Half Angle Formulas
  54.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  55.    wt: 2:   17C sine and cosine double triple angle formulas
  56.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  57.    wt: 2:   12 Graph of tangent function for one period
  58.    wt: 2:   11 tangent function undefined when terminal side vertical
  59.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  60.    wt: 2:   11 Triangle Similarity Missing Side Problem
  61.    wt: 2:   11 A Partial Summary
  62.    wt: 2:   4 Equations for lines three forms
  63.    wt: 2:   13 Pythagorean spatial distance formulas
  64.    wt: 2:   11 Triangle Inequality
  65.    wt: 2:   10 Pythagorean plane distance formula
  66.    wt: 2:   18 Triangle Similarity Take 1
  67.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  68.    wt: 2:   11 Triangle Construction Fails
  69.    wt: 2:   11 Signed Number Addition and Addition Properties
  70.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  71.    wt: 2:   11 Real Number Addition
  72.    wt: 2:   1 Formulas Dependence and Function Notation
  73.    wt: 2:   Formula Usage Show Work Format
  74.    wt: 2:   13 Naming Identifying Formulas with Words
  75.    wt: 2:   11 Volume of Sphere
  76.    wt: 2:   1 Three Skills For Algebra
  77.    wt: 2:   1 More and Less Than for Counts and Measures
  78.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  79.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  80.    wt: 2:   11 What are real lengths and numbers
  81.    wt: 2:   21 Reciprocals for Fractions and Wholes
  82.    wt: 2:   11 Simplification an Algebraic View
  83.    wt: 2:   D Remainders Modulo 11 Pair Rule
  84.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  85.    wt: 2:   10 Integer Multiplication Formulas
  86.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  87.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  88.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  89.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  90.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  91.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  92.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  93.    wt: 2:   1 Remainder Arithmetic Modulo 10
  94.    wt: 2:   11 Efficient Square Rule Use
  95.    wt: 2:   Long Division forwards and backwards Example 1
  96.    wt: 2:   11 Another Single Digit Divisor Example
  97.    wt: 2:   1 Why 3 times 5 gives 15
  98.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  99.    wt: 2:   11 Place Value SI Standard International way
  100.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  101.    wt: 2:   011 Division of Time Intervals By Numbers
  102.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  103.    wt: 2:   38 Formulas and derivatives for powers and roots
  104.    wt: 2:   21 Chain Rule for powers
  105.    wt: 2:   19 Chain Rule for linear functions
  106.    wt: 2:   13 sine and cosine derivatives 1st step
  107.    wt: 2:   11 Quotient rule
  108.    wt: 2:   10 Power rule for negative integers
  109.    wt: 2:   2 Motivation for Limit Definition Take 1
  110.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  111.    wt: 2:   11 Limits at infinity Three Examples
  112.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  113.    wt: 2:   Chapter 11. Graphing Slope versus Position
  114.    wt: 2:   Postscript For Better Performance
  115.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  116.    wt: 2:   Chapter 21. Third Reading Guide
  117.    wt: 2:   Chapter 18. Rules for Algebra
  118.    wt: 2:   Chapter 13. Second Reading Guide
  119.    wt: 2:   Chapter 12. Shorthand Usage Guide
  120.    wt: 2:   Chapter 11. Why Shorthand
  121.    wt: 2:   Chapter 11 Elementary Instruction
  122.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  123.    wt: 2:   Chapter 2 For and Against Mathematics
  124.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  125.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  126.    wt: 2:   Chapter 11 Accidental Patterns
  127.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  128.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  129.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  130.    wt: 2:   N Mathematics Prepare for College Studies
  131.    wt: 2:   G. Written work formats for developing and showing skill
  132.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  133.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  134.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  135.    wt: 1:   Appendix 2 primary school Arithmetic 01
  136.    wt: 1:   Appendix 1 primary and preschool mathematic
  137.    wt: 1:   E LAMP Introduction Modern Mathematics
  138.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  139.    wt: 1:   Skills Chapter 1 Arithmetic
  140.    wt: 1:   10 statistics
  141.    wt: 1:   1 arithmetic with unsigned numbers
  142.    wt: 1:   three goals to set for students
  143.    wt: 1:   permissions for teachers
  144.    wt: 1:   Applied Maths Program14092009 POMME variant
  145.    wt: 1:   activities for students
  146.    wt: 1:   Mathematics Education Professors
  147.    wt: 1:   mathematics in context
  148.    wt: 1:   Education Reform Inconsistencies
  149.    wt: 1:   Secondary Three Mathematics
  150.    wt: 1:   Secondary Two Mathematics
  151.    wt: 1:   Secondary One Mathematics
  152.    wt: 1:   mathematics curriculum shifts
  153.    wt: 1:   geometric implications for algebra
  154.    wt: 1:   05 13 OldSiteEntrancePage
  155.    wt: 1:   04 29 New Mathematics Curriculum
  156.    wt: 1:   02 20 mathematics education references
  157.    wt: 1:   standards for course material
  158.    wt: 1:   mathematics instruction in general
  159.    wt: 1:   Education in mathematics science and technology
  160.    wt: 1:   three kinds of reason in mathematics
  161.    wt: 1:   Four ways to improve education reform
  162.    wt: 1:   Leaner mathematics curriculum
  163.    wt: 1:   fairness and inductive principles for instruction
  164.    wt: 1:   chapitre 12 00 les iles et division
  165.    wt: 1:   chapitre 07 01 principle D induction mathematique
  166.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  167.    wt: 1:   chapitre 04 01 Premiere enigme
  168.    wt: 1:   chapitre 01 00 Introduction
  169.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  170.    wt: 1:   1 Energy Power Heat06
  171.    wt: 1:   A Energy Power01
  172.    wt: 1:   C Wire Resistance Calculation01
  173.    wt: 1:   A Wire Resistance Qualitative01
  174.    wt: 1:   2 Unlike resistors in parallel01
  175.    wt: 1:   1 Like resistors in series
  176.    wt: 1:   G Series Circuit01
  177.    wt: 1:   C Electromotive force conventional current02
  178.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  179.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  180.    wt: 1:   24 Standards For Skill Develoment Take II
  181.    wt: 1:   24 Standards For Skill Develoment
  182.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  183.    wt: 1:   14 Multiplication and Times Tables
  184.    wt: 1:   13 Addition and Addition Tables
  185.    wt: 1:   5 Patience Please for Yourself and Your Charges
  186.    wt: 1:   4 Learning Takes Time and Effort
  187.    wt: 1:   3 Preparing for Science Studies
  188.    wt: 1:   1 Speaking Skills
  189.    wt: 1:   Ages 9 to 10
  190.    wt: 1:   sign monoticity analysis example 1
  191.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  192.    wt: 1:   19 Horizontal line rule and method
  193.    wt: 1:   18 Vertical Line Rule and Method
  194.    wt: 1:   17 Function maxima minima and their location
  195.    wt: 1:   16 Increasing or decreasing on intervals
  196.    wt: 1:   15 Sign analysis of functions
  197.    wt: 1:   14 Surjections Injections Bijections
  198.    wt: 1:   13 From one to one to many to one
  199.    wt: 1:   12 Function Domain Recognition Exercises
  200.    wt: 1:   10 Interval Notation
  201.    wt: 1:   6 Set Existence Formation and Notation
  202.    wt: 1:   4 Function notation in and beyond mathematics
  203.    wt: 1:   3 Formula or function graphing exercise
  204.    wt: 1:   1 Geometric Introduction of Function Notation
  205.    wt: 1:   Introduction Reading Guide
  206.    wt: 1:   10 quadratic exercises
  207.    wt: 1:   8 quadratics backward use of various formulas
  208.    wt: 1:   7 quadratic formulla derivation
  209.    wt: 1:   1 quadratics graphing exercises
  210.    wt: 1:   Quadratics in 10 steps
  211.    wt: 1:   10 Exponential Growth and Decay Models
  212.    wt: 1:   1 Calculator Starter Exercises
  213.    wt: 1:   8 Notes for instructors or tutors
  214.    wt: 1:   1 Polynomials Distributive Law
  215.    wt: 1:   16 cotangent function Definition Graph and Inverse
  216.    wt: 1:   15 cosecant function Definition Graph and Inverse
  217.    wt: 1:   14 secant function Definition Graph and Inverse
  218.    wt: 1:   13 cosecant function Definition Graph and Inverse
  219.    wt: 1:   10 arctan left inverse of tangent Definition
  220.    wt: 1:   9 motivation for name arcsin
  221.    wt: 1:   4 possible motivation for term arccos
  222.    wt: 1:   1 cosine function properties
  223.    wt: 1:   1 Degrees and Radians Introduction
  224.    wt: 1:   15 Dot and Cross Product
  225.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  226.    wt: 1:   13 Velocity Vectors in Physics
  227.    wt: 1:   10 Parallelogram Addition Method
  228.    wt: 1:   1 Unsigned Coordinates
  229.    wt: 1:   1 graphing y=f(x a)
  230.    wt: 1:   Triangle Angles Sum To 180 Degrees
  231.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  232.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  233.    wt: 1:   14 Straight Lines Equations General Case
  234.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  235.    wt: 1:   12 Straight Lines Graphing mx plus b
  236.    wt: 1:   10 Straight Lines through Origin Equations More
  237.    wt: 1:   8 Straight Lines Equation for vertical
  238.    wt: 1:   1 Straight Lines Slope Concept
  239.    wt: 1:   31 basic secant cosecant cotangent trig identities
  240.    wt: 1:   29 secant cosecant and cotangent for acute angles
  241.    wt: 1:   25 tangent double angle formula Slope connection
  242.    wt: 1:   24 tangent Angle Difference Formula
  243.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  244.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  245.    wt: 1:   20 sine and cosine Double Angle Formulas
  246.    wt: 1:   18 sum of sinusoidal waves as a single wave
  247.    wt: 1:   17G Pythagorean Theorem Converse
  248.    wt: 1:   17F Law of cosines
  249.    wt: 1:   17A The complex number valued trig function cis
  250.    wt: 1:   16 Right Triangle Complementary Angle Relations
  251.    wt: 1:   15 sine cosine Complementary Angle Relations
  252.    wt: 1:   14 cosine even and sine and tangent are odd
  253.    wt: 1:   13 Graph of tangent function many periods
  254.    wt: 1:   10 Graphs of sines and cosines many periods
  255.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  256.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  257.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  258.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  259.    wt: 1:   1 Unit Points Reflections Rotations
  260.    wt: 1:   21 Logarithms Powers and Exponentials
  261.    wt: 1:   19 N th Roots of Unity
  262.    wt: 1:   18 Sixth Roots of Unity
  263.    wt: 1:   17 Cube Roots of unity
  264.    wt: 1:   16 References and Originality Question
  265.    wt: 1:   15 Pythagorean Theorem Converse
  266.    wt: 1:   14 Law of cosines
  267.    wt: 1:   1 Rectangular Polar Coordinates Review
  268.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  269.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  270.    wt: 1:   1 Angle Measurement with Degrees
  271.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  272.    wt: 1:   12 Triangles Similarity More Problems
  273.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  274.    wt: 1:   1 Early Concept of Like or Similar Shapes
  275.    wt: 1:   12 Links Lessons elsewhere
  276.    wt: 1:   10 Midpoint of [a b] and [b a]
  277.    wt: 1:   8 Mid Point Formula
  278.    wt: 1:   3 Slope product for perpendicular lines
  279.    wt: 1:   2 point slope equation for a line
  280.    wt: 1:   1 Numerical view of lines and their equations
  281.    wt: 1:   12 Spatial Coordinates
  282.    wt: 1:   1 Cartesian Coordinates sans signs
  283.    wt: 1:   PS H Distributive Law For Complex Numbers
  284.    wt: 1:   21 Parallelograms
  285.    wt: 1:   19 Right Triangle Similarity
  286.    wt: 1:   17 Right Bisectors of Triangle Sides
  287.    wt: 1:   16 Angles Subtended By Chords and Diameters
  288.    wt: 1:   14 Parallel Lines Postulate
  289.    wt: 1:   13 Angle Side Angle Failure
  290.    wt: 1:   12 Side Angle Side Failure
  291.    wt: 1:   10 Dropping a perpendicular to line
  292.    wt: 1:   1 Initial Concepts and Terms
  293.    wt: 1:   1 Length Measurement
  294.    wt: 1:   21 Addition of Multiples of a Single Vector
  295.    wt: 1:   19 Signed Multiples of Vectors
  296.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  297.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  298.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  299.    wt: 1:   15 Head to Tails in place Addition Associative
  300.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  301.    wt: 1:   13 Arrows and Vectors in a Plane
  302.    wt: 1:   12 Real Numbers Line Signed Coordinates
  303.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  304.    wt: 1:   1 Fractions with Finite Decimal Expansions
  305.    wt: 1:   6 Column Methods for Decimal Multiplication
  306.    wt: 1:   5 Distributive Law for Whole Numbers
  307.    wt: 1:   4 Commutative Law Groups Counting Form
  308.    wt: 1:   1 The Counting Origins of Numbers
  309.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  310.    wt: 1:   1 What is Proportionality
  311.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  312.    wt: 1:   6 Compound Interest Forward and Backwards
  313.    wt: 1:   5 Triangle Area Formula Backwards
  314.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  315.    wt: 1:   1 Changing Calculations
  316.    wt: 1:   3 Product Axioms Two Forms
  317.    wt: 1:   1 Equivalent Computation Rules
  318.    wt: 1:   2 More and Less Than for Counts and Measures
  319.    wt: 1:   1 Real Numbers Comparison
  320.    wt: 1:   16 Real Numbers Comparison
  321.    wt: 1:   15 Real Number Division
  322.    wt: 1:   14 Real Number Multiplication
  323.    wt: 1:   13 Real Number Subtraction
  324.    wt: 1:   12 Real Number Additive Inverses or Negatives
  325.    wt: 1:   10 Real Number Lengths and Signs
  326.    wt: 1:   9 Coordinates for Regions in Space
  327.    wt: 1:   8 Coordinates for Maps and Planes
  328.    wt: 1:   1 Whole and Natural Numbers
  329.    wt: 1:   3 Geometric Formulas and Function Notation
  330.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  331.    wt: 1:   1 GE Substitution four examples
  332.    wt: 1:   1 Essentially One Unknown
  333.    wt: 1:   1 Proper Equal Sign Usage
  334.    wt: 1:   10 One Example
  335.    wt: 1:   Using Letters for Physical Quantities
  336.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  337.    wt: 1:   10 Volume of Pyramid
  338.    wt: 1:   8 Compound Interest Formula Evaluation
  339.    wt: 1:   7 Compound Interest Formula Introduction
  340.    wt: 1:   5 Box Volume Formula Example
  341.    wt: 1:   4 Circle Area Formula Example
  342.    wt: 1:   3 Triangle Area Formula Example
  343.    wt: 1:   2 Another Rectangle Area Formula Example
  344.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  345.    wt: 1:   1 Finite Sets
  346.    wt: 1:   arithmetic videos Real Player Format
  347.    wt: 1:   1 Squares and Square Roots Introduction
  348.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  349.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  350.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  351.    wt: 1:   13 GCD from given Prime Factorization
  352.    wt: 1:   4 LCM of 8 and 10 via Prime
  353.    wt: 1:   1 Least Common Multiples LCM Introduction
  354.    wt: 1:   12 GCD 2700 288 via Prime
  355.    wt: 1:   1 Counting and Counting Methods I
  356.    wt: 1:   10 dividing signed numbers
  357.    wt: 1:   4 signed coordinates for regions in space
  358.    wt: 1:   3 signed coordinates for maps and planes
  359.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  360.    wt: 1:   1 Addition and Subtraction with Units
  361.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  362.    wt: 1:   21 Working With Signs
  363.    wt: 1:   19 Dividing Fractions How TO
  364.    wt: 1:   18 Efficient Ways to Multiply
  365.    wt: 1:   17 Efficient Ways to Add and Subtract
  366.    wt: 1:   16 Addition Subtraction Comparision Compared
  367.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  368.    wt: 1:   14 Adding and Subtracting with Like Denominators
  369.    wt: 1:   13 Fraction Comparison Algebraic View
  370.    wt: 1:   12 Fraction Comparison
  371.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  372.    wt: 1:   1 What is a fraction Take II
  373.    wt: 1:   1 What is a fraction
  374.    wt: 1:   13 Subtraction with Additive Inverse
  375.    wt: 1:   12 Adding Integers More Examples
  376.    wt: 1:   1 Integers as Coordinates
  377.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  378.    wt: 1:   21 Remainder Arithmetic Modulo 3
  379.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  380.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  381.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  382.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  383.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  384.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  385.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  386.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  387.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  388.    wt: 1:   19 video Prime Factorization Unique
  389.    wt: 1:   18 video Count Factors given Prime Factorization
  390.    wt: 1:   17 Identify and Count Factors using Primes
  391.    wt: 1:   16 video Factors of 980 using prime
  392.    wt: 1:   15 video Factors of 20 using Prime Factorization
  393.    wt: 1:   14 video Factors of 24 Take II
  394.    wt: 1:   13 video Factors of 24 using prime
  395.    wt: 1:   12 LCD GCD and LCM using Primes
  396.    wt: 1:   10 video Prime Factorization upto 23 squared
  397.    wt: 1:   9 video Prime Factorization upto 19 squared
  398.    wt: 1:   8 video Prime Factorization upto 19
  399.    wt: 1:   2 Prime and Composites less than 16
  400.    wt: 1:   1 video how Products are bigger than factor
  401.    wt: 1:   Long Division forwards and backwards Example 3
  402.    wt: 1:   Long Division forwards and backwards Example 2
  403.    wt: 1:   12 Why Long Division Works Take III
  404.    wt: 1:   10 Division by Five Long and Short Ways
  405.    wt: 1:   1 Divsion Physical Examples
  406.    wt: 1:   A Elementary Basis for Multiplication Methods
  407.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  408.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  409.    wt: 1:   5 A Tip for Efficent Subtraction
  410.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  411.    wt: 1:   1. Explaining Addition Table
  412.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  413.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  414.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  415.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  416.    wt: 1:   Formula Evaluation how to show work
  417.    wt: 1:   The 12 Times Table Visually
  418.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  419.    wt: 1:   016 Numbering Occidental Calendar Days
  420.    wt: 1:   015 School and work day counting tables
  421.    wt: 1:   014 Counting Days with Calendars
  422.    wt: 1:   013 Travel Time Tables
  423.    wt: 1:   012 Division of Time Intervals by Time Intervals
  424.    wt: 1:   010 Repeated Addition of Time Intervals
  425.    wt: 1:   1 Intro of Kids To Time Date Skills
  426.    wt: 1:   Example 1 volume of a pyramid
  427.    wt: 1:   Example 1. Area Between x and x squared
  428.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  429.    wt: 1:   Example 1
  430.    wt: 1:   Area Between Curves Lesson Take 1
  431.    wt: 1:   1 Chain Rule in Reverse Integration Method
  432.    wt: 1:   31 Derivatives of inverse functions
  433.    wt: 1:   28 Chain Rule Preparation for a Proof
  434.    wt: 1:   22 Chain Rule for polynomials
  435.    wt: 1:   20 Chain Rule for Pulley Systems
  436.    wt: 1:   18 Chain Rule Introduction
  437.    wt: 1:   17 Derivatives of quotients of sine and cosine
  438.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  439.    wt: 1:   15 sine and cosine derivatives 3rd step
  440.    wt: 1:   14 sine and cosine derivatives 2nd step
  441.    wt: 1:   12 Quotient rule examples
  442.    wt: 1:   3 Motivation for Limit Definition Take 2
  443.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  444.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  445.    wt: 1:   10 Three one sided limits with infinite values
  446.    wt: 1:   3 Decimal insights for limits continuity convergence
  447.    wt: 1:   1 Numerical introduction
  448.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  449.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  450.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  451.    wt: 1:   F.1 What Functions are Continuous
  452.    wt: 1:   E1 Error Control Inequalities
  453.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  454.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  455.    wt: 1:   PostScript For and Against Decimal Perspectives
  456.    wt: 1:   A1. Introduction
  457.    wt: 1:   Chapter 21 Arrow Addition
  458.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  459.    wt: 1:   Chapter 18. Slopes Areas Integration
  460.    wt: 1:   Chapter 17. Area Approximation
  461.    wt: 1:   Chapter 16. Velocity Approximation
  462.    wt: 1:   Chapter 15. Slope Approximation
  463.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  464.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  465.    wt: 1:   Chapter 13. Acceleration
  466.    wt: 1:   Chapter 12. Units and Slopes
  467.    wt: 1:   Chapter 10 Slopes and Units
  468.    wt: 1:   Chapter 1.Introduction
  469.    wt: 1:   Fall 1983 Calculus Appetizer
  470.    wt: 1:   Foreword
  471.    wt: 1:   Postscript More on Better Performance
  472.    wt: 1:   Appendix E. How To Study Mathematics and Why
  473.    wt: 1:   Chapter 31 Direct and Indirect Reason
  474.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  475.    wt: 1:   Chapter 23. Notation For Sums
  476.    wt: 1:   Chapter 19. Functions and Sets
  477.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  478.    wt: 1:   Chapter 16. Painless Theorem Proving
  479.    wt: 1:   Chapter 15. Solving Linear Equations
  480.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  481.    wt: 1:   Chapter 10 Describing and Changing Calculations
  482.    wt: 1:   Chapter 8 Three Skills For Algebra
  483.    wt: 1:   Solutions For Arithmetic Exercises
  484.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  485.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  486.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  487.    wt: 1:   Foreword
  488.    wt: 1:   Postscript B Mathematics Education References
  489.    wt: 1:   Chapter 12 Four Phases
  490.    wt: 1:   Chapter 10 Transition
  491.    wt: 1:   Chapter 1 Introduction
  492.    wt: 1:   Foreword
  493.    wt: 1:   Postscript C Consistency as a Tool for Reason
  494.    wt: 1:   Chapter 21 Occurrence Tables
  495.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  496.    wt: 1:   Chapter 18 Sense and Knowledge
  497.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  498.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  499.    wt: 1:   Chapter 15 Objective Processes
  500.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  501.    wt: 1:   Chapter 10 Responsibility
  502.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  503.    wt: 1:   Chapter 1 Introduction
  504.    wt: 1:   Foreword
  505.    wt: 1:   R Why Learn Mathematics Skills
  506.    wt: 1:   O On Learning Mathematics and Science
  507.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  508.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  509.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  510.    wt: 1:   Chapter 1 Arithmetic
  511.    wt: 1:   7 Games and Activities for Instruction
  512.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  513.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  514.    wt: 1:   Helping the Blind in Logic and Mathematics
  515.    wt: 1:   Mathematics Education References
  516.    wt: 1:   Mathematics Education References
  517.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  518.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  519.    wt: 1:   More Algebra and Slope based Calculus Preview
  520.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  521.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  522.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  523.    wt: 1:   The Math Forum and Site Content

Extended Search

979 matches:

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

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

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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