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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72 matches:

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

Web Page Search

783 matches:

  1.    wt: 8:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 5:   Ages 12 to 14 Skills with take home value
  3.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  4.    wt: 5:   1 Three Skills For Algebra
  5.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  6.    wt: 4:   02 21 words for teachers
  7.    wt: 4:   12 Goals and Objectives For Mathematics
  8.    wt: 4:   26 Formulas for products of sines and cosines
  9.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 4:   17E Trig Formulas for dot and cross Products
  11.    wt: 4:   13 Trig Formulas for dot and cross Products
  12.    wt: 4:   12 cis formulas for sine cosines and tangent
  13.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  14.    wt: 4:   12 GCD 2700 288 via Prime
  15.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  16.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  17.    wt: 4:   Chapter 8 Three Skills For Algebra
  18.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  19.    wt: 3:   11 pure mathematics
  20.    wt: 3:   2 arithmetic with signed numbers
  21.    wt: 3:   1 arithmetic with unsigned numbers
  22.    wt: 3:   Postscript 2007 01 10
  23.    wt: 3:   the trouble with algebra
  24.    wt: 3:   three goals for Mathematics Education
  25.    wt: 3:   02 20 mathematics education references
  26.    wt: 3:   three aims for mathematics students
  27.    wt: 3:   22 Student Centered Highschool Mathematics
  28.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  29.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  30.    wt: 3:   Ages 12 to 14 Geometry
  31.    wt: 3:   Ages 12 to 14 Arithmetic
  32.    wt: 3:   Ages 10 to 12 Geometry
  33.    wt: 3:   Ages 10 to 12 Arithmetic
  34.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  35.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  36.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  37.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  38.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  39.    wt: 3:   12 motivation for term arctan
  40.    wt: 3:   12 From Applied To Pure Mathematics
  41.    wt: 3:   21 sine and cosine Half Angle Formulas
  42.    wt: 3:   17D cis formulas for sine cosines and tangent
  43.    wt: 3:   17A The complex number valued trig function cis
  44.    wt: 3:   12 Graph of tangent function for one period
  45.    wt: 3:   11 sine and cosine double triple angle formulas
  46.    wt: 3:   4 Equations for lines three forms
  47.    wt: 3:   22 Multiplication of Signed Numbers
  48.    wt: 3:   12 Real Numbers Line Signed Coordinates
  49.    wt: 3:   11 Signed Number Addition and Addition Properties
  50.    wt: 3:   1 The Counting Origins of Numbers
  51.    wt: 3:   12 Real Number Additive Inverses or Negatives
  52.    wt: 3:   11 Real Number Addition
  53.    wt: 3:   2 Essentially one exercises three with solution
  54.    wt: 3:   13 Naming Identifying Formulas with Words
  55.    wt: 3:   2 Another Rectangle Area Formula Example
  56.    wt: 3:   1 Written work formats for developing and showing skill
  57.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  58.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  59.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  60.    wt: 3:   11 What are real lengths and numbers
  61.    wt: 3:   21 Working With Signs
  62.    wt: 3:   21 Reciprocals for Fractions and Wholes
  63.    wt: 3:   11 Simplification an Algebraic View
  64.    wt: 3:   11 Adding Integers Formulas and Examples
  65.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  66.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  67.    wt: 3:   11 Another Single Digit Divisor Example
  68.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  69.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  70.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  71.    wt: 3:   The 12 Times Table Visually
  72.    wt: 3:   011 Division of Time Intervals By Numbers
  73.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  74.    wt: 3:   22 Chain Rule for polynomials
  75.    wt: 3:   21 Chain Rule for powers
  76.    wt: 3:   2 Motivation for Limit Definition Take 1
  77.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  78.    wt: 3:   11 Limits at infinity Three Examples
  79.    wt: 3:   10 Three one sided limits with infinite values
  80.    wt: 3:   Chapter 22 Complex Numbers
  81.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  82.    wt: 3:   Chapter 18. Rules for Algebra
  83.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  84.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  85.    wt: 3:   Chapter 2 For and Against Mathematics
  86.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  87.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  88.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  89.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  90.    wt: 2:   Appendix 2 primary school Arithmetic 01
  91.    wt: 2:   Appendix 1 primary and preschool mathematic
  92.    wt: 2:   Ramblings Extrinsic numbers theory
  93.    wt: 2:   Skills Chapter 3 Algebra
  94.    wt: 2:   Skills Chapter 2 Geometry
  95.    wt: 2:   Skills Chapter 1 Arithmetic
  96.    wt: 2:   three goals to set for students
  97.    wt: 2:   Applied Maths Program14092009 POMME variant
  98.    wt: 2:   Secondary Three Mathematics
  99.    wt: 2:   talk the algebra talk
  100.    wt: 2:   geometric implications for algebra
  101.    wt: 2:   04 29 New Mathematics Curriculum
  102.    wt: 2:   04 25 when to stop or suspend mathemat
  103.    wt: 2:   formal or informal peer review
  104.    wt: 2:   three kinds of reason in mathematics
  105.    wt: 2:   need for a mixed mathematics curriculum
  106.    wt: 2:   Prequel In For A Penny In For A Pound
  107.    wt: 2:   words for mathematics instructor
  108.    wt: 2:   chapitre 12 00 les iles et division
  109.    wt: 2:   chapitre 07 01 principle D induction mathematique
  110.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  111.    wt: 2:   2 Conductance Resistance Duality02
  112.    wt: 2:   1 Conductance Resistance Duality01
  113.    wt: 2:   2 Unlike resistors in parallel01
  114.    wt: 2:   C Electromotive force conventional current02
  115.    wt: 2:   B Electromotive force conventional current01
  116.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  117.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  118.    wt: 2:   24 Standards For Skill Develoment Take II
  119.    wt: 2:   24 Standards For Skill Develoment
  120.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  121.    wt: 2:   18 Primary School Mathematics
  122.    wt: 2:   17 Math Booklets for children and young teenagers
  123.    wt: 2:   16 Secondary Mathematics Tips
  124.    wt: 2:   15 Counting For Parents
  125.    wt: 2:   11 Help and Defend Your Child or Teens Education
  126.    wt: 2:   10 Ends values for work study instruction
  127.    wt: 2:   2 Reading and Writing Skills
  128.    wt: 2:   1 Speaking Skills
  129.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  130.    wt: 2:   22 Square Root function graphically
  131.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  132.    wt: 2:   17 Function maxima minima and their location
  133.    wt: 2:   12 Function Domain Recognition Exercises
  134.    wt: 2:   11 Function Domain Range Source and Targets
  135.    wt: 2:   5 Function notation for geometric transformations
  136.    wt: 2:   2 Algebraic use of function notation
  137.    wt: 2:   11 Growth and Decay in Biology
  138.    wt: 2:   11 arctan left inverse of tangent Graph
  139.    wt: 2:   11 Component Method
  140.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  141.    wt: 2:   12 Straight Lines Graphing mx plus b
  142.    wt: 2:   11 Straight Lines Graphing y=mx
  143.    wt: 2:   17 tangent function angle sum formulas
  144.    wt: 2:   29 secant cosecant and cotangent for acute angles
  145.    wt: 2:   28 Expressing products of sines cosines as sums
  146.    wt: 2:   27 Logarithmic use of products of sines and cosines
  147.    wt: 2:   25 tangent double angle formula Slope connection
  148.    wt: 2:   24 tangent Angle Difference Formula
  149.    wt: 2:   20 sine and cosine Double Angle Formulas
  150.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  151.    wt: 2:   17G Pythagorean Theorem Converse
  152.    wt: 2:   17C sine and cosine double triple angle formulas
  153.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  154.    wt: 2:   11 tangent function undefined when terminal side vertical
  155.    wt: 2:   21 Logarithms Powers and Exponentials
  156.    wt: 2:   20 N th Roots of Complex Numbers
  157.    wt: 2:   15 Pythagorean Theorem Converse
  158.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  159.    wt: 2:   9 The complex number valued trig function cis
  160.    wt: 2:   2 Complex Numbers made easier we hope
  161.    wt: 2:   1 Angle Measurement with Degrees
  162.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  163.    wt: 2:   12 Triangles Similarity More Problems
  164.    wt: 2:   11 Triangle Similarity Missing Side Problem
  165.    wt: 2:   12 Links Lessons elsewhere
  166.    wt: 2:   11 A Partial Summary
  167.    wt: 2:   2 point slope equation for a line
  168.    wt: 2:   1 Numerical view of lines and their equations
  169.    wt: 2:   13 Pythagorean spatial distance formulas
  170.    wt: 2:   12 Spatial Coordinates
  171.    wt: 2:   11 Triangle Inequality
  172.    wt: 2:   10 Pythagorean plane distance formula
  173.    wt: 2:   2 Cartesian Coordinates with signs
  174.    wt: 2:   PS H Distributive Law For Complex Numbers
  175.    wt: 2:   21 Parallelograms
  176.    wt: 2:   18 Triangle Similarity Take 1
  177.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  178.    wt: 2:   12 Side Angle Side Failure
  179.    wt: 2:   11 Triangle Construction Fails
  180.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  181.    wt: 2:   21 Addition of Multiples of a Single Vector
  182.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  183.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  184.    wt: 2:   1 Fractions with Finite Decimal Expansions
  185.    wt: 2:   5 Distributive Law for Whole Numbers
  186.    wt: 2:   2 Combing Counts Addition Skills and Principles
  187.    wt: 2:   2 Algebraic View
  188.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  189.    wt: 2:   2 More and Less Than for Counts and Measures
  190.    wt: 2:   1 Real Numbers Comparison
  191.    wt: 2:   16 Real Numbers Comparison
  192.    wt: 2:   15 Real Number Division
  193.    wt: 2:   14 Real Number Multiplication
  194.    wt: 2:   13 Real Number Subtraction
  195.    wt: 2:   10 Real Number Lengths and Signs
  196.    wt: 2:   1 Whole and Natural Numbers
  197.    wt: 2:   1 Formulas Dependence and Function Notation
  198.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  199.    wt: 2:   2 Three Examples
  200.    wt: 2:   2 Three Examples
  201.    wt: 2:   Formula Usage Show Work Format
  202.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  203.    wt: 2:   11 Volume of Sphere
  204.    wt: 2:   4 A Brief Story of numbers and algebra
  205.    wt: 2:   2 More and Less Than with Unlike Signs
  206.    wt: 2:   1 More and Less Than for Counts and Measures
  207.    wt: 2:   2 Square Roots with Prime
  208.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  209.    wt: 2:   2 Counting with Tables and Trees I
  210.    wt: 2:   10 dividing signed numbers
  211.    wt: 2:   2 signed and unsigned numbers as coordinates
  212.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  213.    wt: 2:   1 Addition and Subtraction with Units
  214.    wt: 2:   22 Complex Compound Fractions
  215.    wt: 2:   20 Dividing Fractions the Why
  216.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  217.    wt: 2:   14 Adding and Subtracting with Like Denominators
  218.    wt: 2:   13 Fraction Comparison Algebraic View
  219.    wt: 2:   12 Fraction Comparison
  220.    wt: 2:   D Remainders Modulo 11 Pair Rule
  221.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  222.    wt: 2:   13 Subtraction with Additive Inverse
  223.    wt: 2:   12 Adding Integers More Examples
  224.    wt: 2:   10 Integer Multiplication Formulas
  225.    wt: 2:   26 Divisibility by 2 3 5 Example
  226.    wt: 2:   23 Remainder Arithmetic Modulo 2
  227.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  228.    wt: 2:   21 Remainder Arithmetic Modulo 3
  229.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  230.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  231.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  232.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  233.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  234.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  235.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  236.    wt: 2:   1 Remainder Arithmetic Modulo 10
  237.    wt: 2:   15 video Factors of 20 using Prime Factorization
  238.    wt: 2:   14 video Factors of 24 Take II
  239.    wt: 2:   13 video Factors of 24 using prime
  240.    wt: 2:   12 LCD GCD and LCM using Primes
  241.    wt: 2:   11 Efficient Square Rule Use
  242.    wt: 2:   10 video Prime Factorization upto 23 squared
  243.    wt: 2:   2 Prime and Composites less than 16
  244.    wt: 2:   1 video how Products are bigger than factor
  245.    wt: 2:   Long Division forwards and backwards Example 2
  246.    wt: 2:   Long Division forwards and backwards Example 1
  247.    wt: 2:   12 Why Long Division Works Take III
  248.    wt: 2:   4 Division with 2 Digit Divsors
  249.    wt: 2:   2 Division with Single Digit Divisors
  250.    wt: 2:   1 Why 3 times 5 gives 15
  251.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  252.    wt: 2:   9 22 Minute Subtraction Review Video
  253.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  254.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  255.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  256.    wt: 2:   4. How to add with decimals B with conversions
  257.    wt: 2:   11 Place Value SI Standard International way
  258.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  259.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  260.    wt: 2:   Quick history of numbers and algebra
  261.    wt: 2:   The 20 Times Table
  262.    wt: 2:   016 Numbering Occidental Calendar Days
  263.    wt: 2:   014 Counting Days with Calendars
  264.    wt: 2:   012 Division of Time Intervals by Time Intervals
  265.    wt: 2:   1 Intro of Kids To Time Date Skills
  266.    wt: 2:   38 Formulas and derivatives for powers and roots
  267.    wt: 2:   28 Chain Rule Preparation for a Proof
  268.    wt: 2:   20 Chain Rule for Pulley Systems
  269.    wt: 2:   19 Chain Rule for linear functions
  270.    wt: 2:   14 sine and cosine derivatives 2nd step
  271.    wt: 2:   13 sine and cosine derivatives 1st step
  272.    wt: 2:   12 Quotient rule examples
  273.    wt: 2:   11 Quotient rule
  274.    wt: 2:   10 Power rule for negative integers
  275.    wt: 2:   3 Motivation for Limit Definition Take 2
  276.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  277.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  278.    wt: 2:   2 Algebraic codification
  279.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  280.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  281.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  282.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  283.    wt: 2:   F.2 Closed Range Theorem
  284.    wt: 2:   E2 Algebraic Properties of Limits
  285.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  286.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  287.    wt: 2:   Chapter 21 Arrow Addition
  288.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  289.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  290.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  291.    wt: 2:   Chapter 12. Units and Slopes
  292.    wt: 2:   Chapter 11. Graphing Slope versus Position
  293.    wt: 2:   Postscript For Better Performance
  294.    wt: 2:   Chapter 25. Mathematical Induction Examples
  295.    wt: 2:   Chapter 23. Notation For Sums
  296.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  297.    wt: 2:   Chapter 21. Third Reading Guide
  298.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  299.    wt: 2:   Chapter 16. Painless Theorem Proving
  300.    wt: 2:   Chapter 12. Shorthand Usage Guide
  301.    wt: 2:   Chapter 11. Why Shorthand
  302.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  303.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  304.    wt: 2:   Chapter 12 Four Phases
  305.    wt: 2:   Chapter 11 Elementary Instruction
  306.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  307.    wt: 2:   Chapter 21 Occurrence Tables
  308.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  309.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  310.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  311.    wt: 2:   Chapter 11 Accidental Patterns
  312.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  313.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  314.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  315.    wt: 2:   R Why Learn Mathematics Skills
  316.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  317.    wt: 2:   N Mathematics Prepare for College Studies
  318.    wt: 2:   L Skills with take home value
  319.    wt: 2:   G. Written work formats for developing and showing skill
  320.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  321.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  322.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  323.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  324.    wt: 2:   Helping the Blind in Logic and Mathematics
  325.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  326.    wt: 2:   The Math Forum and Site Content
  327.    wt: 1:   G LAMP Introduction Problem Solving Skills
  328.    wt: 1:   E LAMP Introduction Modern Mathematics
  329.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  330.    wt: 1:   Skills Chapter 5 Calculus
  331.    wt: 1:   Skills Chapter 4 Logic
  332.    wt: 1:   Ramblings Introduction Algebra Essay
  333.    wt: 1:   Skills Chapter 0 Introduction
  334.    wt: 1:   10 statistics
  335.    wt: 1:   4 algebra
  336.    wt: 1:   why bother
  337.    wt: 1:   Teach the teachers plus goals
  338.    wt: 1:   permissions for teachers
  339.    wt: 1:   activities for students
  340.    wt: 1:   key notes and themes
  341.    wt: 1:   Mathematics Education Professors
  342.    wt: 1:   mathematics in context
  343.    wt: 1:   Education Reform Inconsistencies
  344.    wt: 1:   Secondary Two Mathematics
  345.    wt: 1:   Secondary One Mathematics
  346.    wt: 1:   three difficulties
  347.    wt: 1:   mathematics curriculum shifts
  348.    wt: 1:   teaching tutoring algebraic reason
  349.    wt: 1:   Lessening Algebra Difficulties
  350.    wt: 1:   05 13 OldSiteEntrancePage
  351.    wt: 1:   standards for course material
  352.    wt: 1:   Theory of Knowledge
  353.    wt: 1:   mathematics instruction in general
  354.    wt: 1:   Education in mathematics science and technology
  355.    wt: 1:   Four ways to improve education reform
  356.    wt: 1:   Leaner mathematics curriculum
  357.    wt: 1:   fairness and inductive principles for instruction
  358.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  359.    wt: 1:   chapitre 04 02 Deuxieme enigme
  360.    wt: 1:   chapitre 04 01 Premiere enigme
  361.    wt: 1:   chapitre 02 00 La Communication des idees
  362.    wt: 1:   chapitre 01 00 Introduction
  363.    wt: 1:   2 Energy Power Heat07
  364.    wt: 1:   1 Energy Power Heat06
  365.    wt: 1:   B Energy Power02
  366.    wt: 1:   A Energy Power01
  367.    wt: 1:   D Wire Resistance Calculation02
  368.    wt: 1:   C Wire Resistance Calculation01
  369.    wt: 1:   B Wire Resistance Qualitative02
  370.    wt: 1:   A Wire Resistance Qualitative01
  371.    wt: 1:   1 Like resistors in series
  372.    wt: 1:   H Series Circuit02
  373.    wt: 1:   G Series Circuit01
  374.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  375.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  376.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  377.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  378.    wt: 1:   14 Multiplication and Times Tables
  379.    wt: 1:   13 Addition and Addition Tables
  380.    wt: 1:   8 The Effect of Negative Remarks
  381.    wt: 1:   5 Patience Please for Yourself and Your Charges
  382.    wt: 1:   4 Learning Takes Time and Effort
  383.    wt: 1:   3 Preparing for Science Studies
  384.    wt: 1:   Ages 9 to 10
  385.    wt: 1:   sign monoticity analysis example 2
  386.    wt: 1:   sign monoticity analysis example 1
  387.    wt: 1:   26 Function definitions done and coming
  388.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  389.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  390.    wt: 1:   23 Inverse Functions
  391.    wt: 1:   20 Interchanging coordinates a reflection
  392.    wt: 1:   19 Horizontal line rule and method
  393.    wt: 1:   18 Vertical Line Rule and Method
  394.    wt: 1:   16 Increasing or decreasing on intervals
  395.    wt: 1:   15 Sign analysis of functions
  396.    wt: 1:   14 Surjections Injections Bijections
  397.    wt: 1:   13 From one to one to many to one
  398.    wt: 1:   10 Interval Notation
  399.    wt: 1:   9 Set theory term relation possible origins
  400.    wt: 1:   7 Functions with finite domains
  401.    wt: 1:   6 Set Existence Formation and Notation
  402.    wt: 1:   4 Function notation in and beyond mathematics
  403.    wt: 1:   3 Formula or function graphing exercise
  404.    wt: 1:   1 Geometric Introduction of Function Notation
  405.    wt: 1:   10 quadratic exercises
  406.    wt: 1:   9 quadratics physical and further context
  407.    wt: 1:   8 quadratics backward use of various formulas
  408.    wt: 1:   7 quadratic formulla derivation
  409.    wt: 1:   5 quadratics completing the square
  410.    wt: 1:   2 quadratics graphing in general
  411.    wt: 1:   1 quadratics graphing exercises
  412.    wt: 1:   Quadratics in 10 steps
  413.    wt: 1:   10 Exponential Growth and Decay Models
  414.    wt: 1:   2 Square Root Simplification a prequel
  415.    wt: 1:   1 Calculator Starter Exercises
  416.    wt: 1:   8 Notes for instructors or tutors
  417.    wt: 1:   2 Column Multiplication Method
  418.    wt: 1:   1 Polynomials Distributive Law
  419.    wt: 1:   Rewriting algebraic substitution as function substitutions
  420.    wt: 1:   16 cotangent function Definition Graph and Inverse
  421.    wt: 1:   15 cosecant function Definition Graph and Inverse
  422.    wt: 1:   14 secant function Definition Graph and Inverse
  423.    wt: 1:   13 cosecant function Definition Graph and Inverse
  424.    wt: 1:   10 arctan left inverse of tangent Definition
  425.    wt: 1:   9 motivation for name arcsin
  426.    wt: 1:   4 possible motivation for term arccos
  427.    wt: 1:   2 cosine function more properties
  428.    wt: 1:   1 cosine function properties
  429.    wt: 1:   2 Radian Measure Numerical Value of one degree
  430.    wt: 1:   1 Degrees and Radians Introduction
  431.    wt: 1:   15 Dot and Cross Product
  432.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  433.    wt: 1:   13 Velocity Vectors in Physics
  434.    wt: 1:   10 Parallelogram Addition Method
  435.    wt: 1:   6 Vectors with Coordinates
  436.    wt: 1:   3 Navigation with Arrows or Vectors
  437.    wt: 1:   2 Signed Coordinates
  438.    wt: 1:   1 Unsigned Coordinates
  439.    wt: 1:   Vector and Complex Number Applet
  440.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  441.    wt: 1:   1 graphing y=f(x a)
  442.    wt: 1:   Triangle Angles Sum To 180 Degrees
  443.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  444.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  445.    wt: 1:   14 Straight Lines Equations General Case
  446.    wt: 1:   10 Straight Lines through Origin Equations More
  447.    wt: 1:   8 Straight Lines Equation for vertical
  448.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  449.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  450.    wt: 1:   1 Straight Lines Slope Concept
  451.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  452.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  453.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  454.    wt: 1:   32 seven rows of pascals triangle
  455.    wt: 1:   31 basic secant cosecant cotangent trig identities
  456.    wt: 1:   18 sum of sinusoidal waves as a single wave
  457.    wt: 1:   17F Law of cosines
  458.    wt: 1:   16 Right Triangle Complementary Angle Relations
  459.    wt: 1:   15 sine cosine Complementary Angle Relations
  460.    wt: 1:   14 cosine even and sine and tangent are odd
  461.    wt: 1:   13 Graph of tangent function many periods
  462.    wt: 1:   10 Graphs of sines and cosines many periods
  463.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  464.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  465.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  466.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  467.    wt: 1:   2 Quadrant I reference Angles
  468.    wt: 1:   1 Unit Points Reflections Rotations
  469.    wt: 1:   19 N th Roots of Unity
  470.    wt: 1:   18 Sixth Roots of Unity
  471.    wt: 1:   17 Cube Roots of unity
  472.    wt: 1:   16 References and Originality Question
  473.    wt: 1:   14 Law of cosines
  474.    wt: 1:   7 Second Way to Calculate Products
  475.    wt: 1:   6 Field Properties of Complex Number
  476.    wt: 1:   5 An Easy Proof of the Distributive Law
  477.    wt: 1:   1 Rectangular Polar Coordinates Review
  478.    wt: 1:   Appetizer A Complex Number Applet
  479.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  480.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  481.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  482.    wt: 1:   Why Trigonometry the whyslopes view
  483.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  484.    wt: 1:   4 Similarity Definition with Coordinate
  485.    wt: 1:   3 Similarity by Design with coordinates
  486.    wt: 1:   2 Similarity By Design
  487.    wt: 1:   1 Early Concept of Like or Similar Shapes
  488.    wt: 1:   10 Midpoint of [a b] and [b a]
  489.    wt: 1:   8 Mid Point Formula
  490.    wt: 1:   5 Algebraic View of Slopes
  491.    wt: 1:   3 Slope product for perpendicular lines
  492.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  493.    wt: 1:   7 Complex Numbers Appetizer
  494.    wt: 1:   1 Cartesian Coordinates sans signs
  495.    wt: 1:   PS E Multiplication with Polar Coordinates
  496.    wt: 1:   PS D Addition with Cartesian Coordinates
  497.    wt: 1:   19 Right Triangle Similarity
  498.    wt: 1:   17 Right Bisectors of Triangle Sides
  499.    wt: 1:   16 Angles Subtended By Chords and Diameters
  500.    wt: 1:   14 Parallel Lines Postulate
  501.    wt: 1:   13 Angle Side Angle Failure
  502.    wt: 1:   10 Dropping a perpendicular to line
  503.    wt: 1:   2 Correspondence between Triangles
  504.    wt: 1:   1 Initial Concepts and Terms
  505.    wt: 1:   A Measurement with Ruler Proper Use
  506.    wt: 1:   6 Figuring with Maps Not to Scale
  507.    wt: 1:   2 Measuring Area Directly
  508.    wt: 1:   1 Length Measurement
  509.    wt: 1:   musings do not puiblish real numbers
  510.    wt: 1:   A Signed Number Arithmetic Review
  511.    wt: 1:   26 More Less Greater Than Comparison
  512.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  513.    wt: 1:   23 Distributive Law Two Derivations
  514.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  515.    wt: 1:   19 Signed Multiples of Vectors
  516.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  517.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  518.    wt: 1:   15 Head to Tails in place Addition Associative
  519.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  520.    wt: 1:   13 Arrows and Vectors in a Plane
  521.    wt: 1:   9 Division with Digits after Decimal Point
  522.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  523.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  524.    wt: 1:   2 Counting Digits in Decimal Multiplication
  525.    wt: 1:   C Three Decimal Subtraction Methods
  526.    wt: 1:   6 Column Methods for Decimal Multiplication
  527.    wt: 1:   4 Commutative Law Groups Counting Form
  528.    wt: 1:   3 Multiplicative Counting Skills Principles
  529.    wt: 1:   3 Inequalities Algebraically
  530.    wt: 1:   2 Fraction Operations Physical Development
  531.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  532.    wt: 1:   1 What is Proportionality
  533.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  534.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  535.    wt: 1:   6 Compound Interest Forward and Backwards
  536.    wt: 1:   5 Triangle Area Formula Backwards
  537.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  538.    wt: 1:   2 Linear Equation Literal Solution
  539.    wt: 1:   1 Changing Calculations
  540.    wt: 1:   5 Equality in Algebra
  541.    wt: 1:   3 Product Axioms Two Forms
  542.    wt: 1:   2 Addition and Multiplication Axioms
  543.    wt: 1:   1 Equivalent Computation Rules
  544.    wt: 1:   4 Comparison of Negative Numbers
  545.    wt: 1:   3 More and Less Than with Unlike Signs
  546.    wt: 1:   9 Coordinates for Regions in Space
  547.    wt: 1:   8 Coordinates for Maps and Planes
  548.    wt: 1:   7 Real Numbers as Line Cordinates
  549.    wt: 1:   6 Unsigned Real Numbers
  550.    wt: 1:   5 Rational Numbers More
  551.    wt: 1:   4 Rational Numbers
  552.    wt: 1:   2 Integers
  553.    wt: 1:   3 Geometric Formulas and Function Notation
  554.    wt: 1:   2 Computation Rules Evaluation
  555.    wt: 1:   2 GE II Comparison
  556.    wt: 1:   1 GE Substitution four examples
  557.    wt: 1:   1 Essentially One Unknown
  558.    wt: 1:   6 Algebraic Solution Example
  559.    wt: 1:   5 Algebraic Solutions Introduction
  560.    wt: 1:   1 Proper Equal Sign Usage
  561.    wt: 1:   10 One Example
  562.    wt: 1:   9 Three Examples
  563.    wt: 1:   6 Three Examples
  564.    wt: 1:   5 Three Examples
  565.    wt: 1:   Using Letters for Physical Quantities
  566.    wt: 1:   10 Volume of Pyramid
  567.    wt: 1:   8 Compound Interest Formula Evaluation
  568.    wt: 1:   7 Compound Interest Formula Introduction
  569.    wt: 1:   5 Box Volume Formula Example
  570.    wt: 1:   4 Circle Area Formula Example
  571.    wt: 1:   3 Triangle Area Formula Example
  572.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  573.    wt: 1:   8 Sets of Numbers
  574.    wt: 1:   3 Counting with Sets etc
  575.    wt: 1:   2 Venn Diagrams
  576.    wt: 1:   1 Finite Sets
  577.    wt: 1:   6 Three Notions of What is a Variable
  578.    wt: 1:   5 Talking about Numbers and Quantities
  579.    wt: 1:   2 What is a Variable
  580.    wt: 1:   arithmetic videos Real Player Format
  581.    wt: 1:   3 Comparison of Negative Numbers
  582.    wt: 1:   5 Square Roots with primes more still
  583.    wt: 1:   4 Square Roots with primes more
  584.    wt: 1:   3 Properties of Square Roots with example
  585.    wt: 1:   1 Squares and Square Roots Introduction
  586.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  587.    wt: 1:   13 GCD from given Prime Factorization
  588.    wt: 1:   4 LCM of 8 and 10 via Prime
  589.    wt: 1:   2 Least Common Multiple LCM intro via list method
  590.    wt: 1:   1 Least Common Multiples LCM Introduction
  591.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  592.    wt: 1:   4 Counting with Trees Product Rule Take I
  593.    wt: 1:   3 Counting with Tables and Trees II
  594.    wt: 1:   1 Counting and Counting Methods I
  595.    wt: 1:   9 subtracting signed numbers
  596.    wt: 1:   8 multiplying signed numbers
  597.    wt: 1:   6 adding signed numbers
  598.    wt: 1:   5 lengths and signs of numbers
  599.    wt: 1:   4 signed coordinates for regions in space
  600.    wt: 1:   3 signed coordinates for maps and planes
  601.    wt: 1:   6 Simplification of Fractions with Units
  602.    wt: 1:   4 Fractions with Units
  603.    wt: 1:   3 Multiplying Units and Numbers
  604.    wt: 1:   2 Equality and Units
  605.    wt: 1:   D Three Term Ratios
  606.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  607.    wt: 1:   19 Dividing Fractions How TO
  608.    wt: 1:   18 Efficient Ways to Multiply
  609.    wt: 1:   17 Efficient Ways to Add and Subtract
  610.    wt: 1:   16 Addition Subtraction Comparision Compared
  611.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  612.    wt: 1:   9 Improper Fractions and Mixed Numbers
  613.    wt: 1:   6 Multiplication of Mixed Numbers
  614.    wt: 1:   6 Multiplication Algebraically Take II
  615.    wt: 1:   2 Unit Fraction Multiplication
  616.    wt: 1:   1 What is a fraction Take II
  617.    wt: 1:   1 What is a fraction
  618.    wt: 1:   A Associative Law Theorectical Note
  619.    wt: 1:   8 Multiplication by Signed Numbers Integers
  620.    wt: 1:   6 Multiplication by Natural Numbers
  621.    wt: 1:   3 Adding Movements with same direction
  622.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  623.    wt: 1:   1 Integers as Coordinates
  624.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  625.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  626.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  627.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  628.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  629.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  630.    wt: 1:   20 Uniqueness of Prime Factorization
  631.    wt: 1:   19 video Prime Factorization Unique
  632.    wt: 1:   18 video Count Factors given Prime Factorization
  633.    wt: 1:   17 Identify and Count Factors using Primes
  634.    wt: 1:   16 video Factors of 980 using prime
  635.    wt: 1:   9 video Prime Factorization upto 19 squared
  636.    wt: 1:   8 video Prime Factorization upto 19
  637.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  638.    wt: 1:   Division with Counts and Length
  639.    wt: 1:   Long Division forwards and backwards Example 3
  640.    wt: 1:   10 Division by Five Long and Short Ways
  641.    wt: 1:   8 Correcting the Mistake
  642.    wt: 1:   1 Divsion Physical Examples
  643.    wt: 1:   C Counting Areas with Powers of Ten
  644.    wt: 1:   A Elementary Basis for Multiplication Methods
  645.    wt: 1:   4 Two and Three Digit Multipliers
  646.    wt: 1:   2 One Digit Multipliers
  647.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  648.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  649.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  650.    wt: 1:   Subtraction with J Conversions Example
  651.    wt: 1:   Subtraction Another Video Lesson
  652.    wt: 1:   8 Subtraction with Units of Measure
  653.    wt: 1:   5 A Tip for Efficent Subtraction
  654.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  655.    wt: 1:   2 Subtraction Easy Case Examples
  656.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  657.    wt: 1:   8 What skills and work habits to require
  658.    wt: 1:   3. How to add with decimals A sans conversions
  659.    wt: 1:   2 Decimal Counting Practices
  660.    wt: 1:   1. Explaining Addition Table
  661.    wt: 1:   Formula Evaluation how to show work
  662.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  663.    wt: 1:   015 School and work day counting tables
  664.    wt: 1:   013 Travel Time Tables
  665.    wt: 1:   010 Repeated Addition of Time Intervals
  666.    wt: 1:   2 Time and Date Matters in School
  667.    wt: 1:   Example 2 volume of a cone
  668.    wt: 1:   Example 1 volume of a pyramid
  669.    wt: 1:   Example 1. Area Between x and x squared
  670.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  671.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  672.    wt: 1:   Example 4 with x function of y
  673.    wt: 1:   Example 2
  674.    wt: 1:   Example 1
  675.    wt: 1:   Area Between Curves Lesson Take 2
  676.    wt: 1:   Area Between Curves Lesson Take 1
  677.    wt: 1:   2 Indefinite Integrals Exercises
  678.    wt: 1:   1 Chain Rule in Reverse Integration Method
  679.    wt: 1:   2 Second derivative test prequel
  680.    wt: 1:   31 Derivatives of inverse functions
  681.    wt: 1:   29 Chain Rule Optional Reading
  682.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  683.    wt: 1:   26 Chain Rule Recognising outer inner functions
  684.    wt: 1:   25 Chain Rule Animated Examples Continued
  685.    wt: 1:   24 Chain Rule Animated Examples
  686.    wt: 1:   23 Chain Rule in general
  687.    wt: 1:   18 Chain Rule Introduction
  688.    wt: 1:   17 Derivatives of quotients of sine and cosine
  689.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  690.    wt: 1:   15 sine and cosine derivatives 3rd step
  691.    wt: 1:   3 Decimal insights for limits continuity convergence
  692.    wt: 1:   1 Numerical introduction
  693.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  694.    wt: 1:   G.5 Motions With Bounded Velocities
  695.    wt: 1:   G.3 Constant Difference Theorem Proof
  696.    wt: 1:   F.5b Extreme Value Theorem
  697.    wt: 1:   F.5a Equicontinuity Theorems
  698.    wt: 1:   F.4 Finite Covering Theorem
  699.    wt: 1:   F.3 Intermediate Value Theorem
  700.    wt: 1:   F.1 What Functions are Continuous
  701.    wt: 1:   E1 Error Control Inequalities
  702.    wt: 1:   D2 Limits of Monotone Sequences
  703.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  704.    wt: 1:   B3 Bolzano Weierstrass Theorem
  705.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  706.    wt: 1:   PostScript For and Against Decimal Perspectives
  707.    wt: 1:   A1. Introduction
  708.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  709.    wt: 1:   Chapter 23 Links To Trigonometry
  710.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  711.    wt: 1:   Chapter 18. Slopes Areas Integration
  712.    wt: 1:   Chapter 17. Area Approximation
  713.    wt: 1:   Chapter 16. Velocity Approximation
  714.    wt: 1:   Chapter 15. Slope Approximation
  715.    wt: 1:   Chapter 13. Acceleration
  716.    wt: 1:   Chapter 10 Slopes and Units
  717.    wt: 1:   Chapter 2. Slopes and Ski Trails
  718.    wt: 1:   Chapter 1.Introduction
  719.    wt: 1:   Fall 1983 Calculus Appetizer
  720.    wt: 1:   Foreword
  721.    wt: 1:   Postscript More on Better Performance
  722.    wt: 1:   Appendix E. How To Study Mathematics and Why
  723.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  724.    wt: 1:   Chapter 31 Direct and Indirect Reason
  725.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  726.    wt: 1:   Chapter 28 Occurrence Tables
  727.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  728.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  729.    wt: 1:   Chapter 20. Degrees and Radians
  730.    wt: 1:   Chapter 19. Functions and Sets
  731.    wt: 1:   Chapter 15. Solving Linear Equations
  732.    wt: 1:   Chapter 13. Second Reading Guide
  733.    wt: 1:   Chapter 10 Describing and Changing Calculations
  734.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  735.    wt: 1:   Solutions For Arithmetic Exercises
  736.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  737.    wt: 1:   Foreword
  738.    wt: 1:   Postscript B Mathematics Education References
  739.    wt: 1:   Postscript A Three Remarks
  740.    wt: 1:   Chapter 10 Transition
  741.    wt: 1:   Chapter 9 The Two Ends
  742.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  743.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  744.    wt: 1:   Chapter 3 Algebra Difficulties
  745.    wt: 1:   Chapter 1 Introduction
  746.    wt: 1:   Foreword
  747.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  748.    wt: 1:   Postscript C Consistency as a Tool for Reason
  749.    wt: 1:   Chapter 24 Direct and Indirect Reason
  750.    wt: 1:   Chapter 23 Truth Tables
  751.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  752.    wt: 1:   Chapter 18 Sense and Knowledge
  753.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  754.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  755.    wt: 1:   Chapter 15 Objective Processes
  756.    wt: 1:   Chapter 10 Responsibility
  757.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  758.    wt: 1:   Chapter 2 Skill Development
  759.    wt: 1:   Chapter 1 Introduction
  760.    wt: 1:   Three Remarks
  761.    wt: 1:   Foreword
  762.    wt: 1:   S Adding words to algebra
  763.    wt: 1:   O On Learning Mathematics and Science
  764.    wt: 1:   I. Logic and language skills
  765.    wt: 1:   F. The student teacher tutor feedback loop
  766.    wt: 1:   D. Check work a must with a caution
  767.    wt: 1:   How to Build Skills and Confidence
  768.    wt: 1:   Chapter 6 More Algebra and Geometry
  769.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  770.    wt: 1:   Chapter 3 Algebra Starter Lessons
  771.    wt: 1:   Chapter 2 Why Sets
  772.    wt: 1:   Chapter 1 Arithmetic
  773.    wt: 1:   7 Games and Activities for Instruction
  774.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  775.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  776.    wt: 1:   Mathematics Education References
  777.    wt: 1:   Mathematics Education References
  778.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  779.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  780.    wt: 1:   More Algebra and Slope based Calculus Preview
  781.    wt: 1:   Systematic Algebra Skill Development Missing Links
  782.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  783.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

1112 matches:

  1.    wt: 9:   Ages 12 to 14 Skills with take home value
  2.    wt: 9:   2 Three Examples
  3.    wt: 9:   13 Naming Identifying Formulas with Words
  4.    wt: 9:   4 Greater More Less Than Signs in General
  5.    wt: 9:   13 GCD from given Prime Factorization
  6.    wt: 9:   8 GCD from Euclidean Algorithm
  7.    wt: 9:   7 GCD and LCM from prime factorization
  8.    wt: 9:   4 LCM of 8 and 10 via Prime
  9.    wt: 9:   1 Least Common Multiples LCM Introduction
  10.    wt: 9:   10 dividing signed numbers
  11.    wt: 9:   2 signed and unsigned numbers as coordinates
  12.    wt: 9:   22 Complex Compound Fractions
  13.    wt: 9:   20 Dividing Fractions the Why
  14.    wt: 9:   11 Adding Integers Formulas and Examples
  15.    wt: 9:   25 Divisibility Tests for 2 3 5 9 10 Example
  16.    wt: 9:   24 Divisibility Tests for 2 3 5 9 10
  17.    wt: 9:   12 LCD GCD and LCM using Primes
  18.    wt: 9:   11 Efficient Square Rule Use
  19.    wt: 9:   10 Division by Five Long and Short Ways
  20.    wt: 9:   4 Division with 2 Digit Divsors
  21.    wt: 9:   1 Divsion Physical Examples
  22.    wt: 9:   2 One Digit Multipliers
  23.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  24.    wt: 9:   8 Subtraction with Units of Measure
  25.    wt: 9:   5 A Tip for Efficent Subtraction
  26.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  27.    wt: 9:   8 What skills and work habits to require
  28.    wt: 9:   3. How to add with decimals A sans conversions
  29.    wt: 9:   Chapter 25. Mathematical Induction Examples
  30.    wt: 9:   Chapter 23. Notation For Sums
  31.    wt: 9:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  32.    wt: 9:   Chapter 16. Painless Theorem Proving
  33.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  34.    wt: 9:   Chapter 1 Introduction to Chapters 2 to 6
  35.    wt: 8:   02 21 words for teachers
  36.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  37.    wt: 8:   1 Proper Equal Sign Usage
  38.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  39.    wt: 8:   11 Volume of Sphere
  40.    wt: 8:   2 Another Rectangle Area Formula Example
  41.    wt: 8:   1 Written work formats for developing and showing skill
  42.    wt: 8:   1 Three Skills For Algebra
  43.    wt: 8:   6 GCD from Prime
  44.    wt: 8:   2 Least Common Multiple LCM intro via list method
  45.    wt: 8:   3 signed coordinates for maps and planes
  46.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  47.    wt: 8:   1 Addition and Subtraction with Units
  48.    wt: 8:   19 Dividing Fractions How TO
  49.    wt: 8:   18 Efficient Ways to Multiply
  50.    wt: 8:   11 Simplification an Algebraic View
  51.    wt: 8:   13 Subtraction with Additive Inverse
  52.    wt: 8:   12 Adding Integers More Examples
  53.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  54.    wt: 8:   15 video Factors of 20 using Prime Factorization
  55.    wt: 8:   14 video Factors of 24 Take II
  56.    wt: 8:   13 video Factors of 24 using prime
  57.    wt: 8:   10 video Prime Factorization upto 23 squared
  58.    wt: 8:   2 Prime and Composites less than 16
  59.    wt: 8:   1 video how Products are bigger than factor
  60.    wt: 8:   Long Division Backwards more
  61.    wt: 8:   Long Division Backward
  62.    wt: 8:   8 Correcting the Mistake
  63.    wt: 8:   D Decimal Multiplication Methods Derived
  64.    wt: 8:   C Counting Areas with Powers of Ten
  65.    wt: 8:   A Elementary Basis for Multiplication Methods
  66.    wt: 8:   4 Two and Three Digit Multipliers
  67.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  68.    wt: 8:   7 Adding decimal fractions using decimal point
  69.    wt: 8:   6. Counting and adding units and mixed units
  70.    wt: 8:   5. How to add decimals C. Examples
  71.    wt: 8:   9 Place Value Review Decimal form of Avogrados number included
  72.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  73.    wt: 8:   11 Limits at infinity Three Examples
  74.    wt: 8:   10 Three one sided limits with infinite values
  75.    wt: 8:   Postscript For Better Performance
  76.    wt: 8:   Appendix A. Reading Guide For Next Appendices
  77.    wt: 8:   Chapter 31 Direct and Indirect Reason
  78.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  79.    wt: 8:   Chapter 28 Occurrence Tables
  80.    wt: 8:   Chapter 27 Shorthand Symbols as Pronouns
  81.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  82.    wt: 8:   Chapter 20. Degrees and Radians
  83.    wt: 8:   Chapter 19. Functions and Sets
  84.    wt: 8:   Chapter 15. Solving Linear Equations
  85.    wt: 8:   Chapter 13. Second Reading Guide
  86.    wt: 8:   Chapter 10 Describing and Changing Calculations
  87.    wt: 8:   Solutions For Arithmetic Exercises
  88.    wt: 7:   11 pure mathematics
  89.    wt: 7:   Secondary Three Mathematics
  90.    wt: 7:   the trouble with algebra
  91.    wt: 7:   three goals for Mathematics Education
  92.    wt: 7:   02 20 mathematics education references
  93.    wt: 7:   three aims for mathematics students
  94.    wt: 7:   Ages 12 to 14 Geometry
  95.    wt: 7:   Ages 12 to 14 Arithmetic
  96.    wt: 7:   11 Growth and Decay in Biology
  97.    wt: 7:   12 From Applied To Pure Mathematics
  98.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  99.    wt: 7:   12 cis formulas for sine cosines and tangent
  100.    wt: 7:   21 Parallelograms
  101.    wt: 7:   12 Side Angle Side Failure
  102.    wt: 7:   11 Triangle Construction Fails
  103.    wt: 7:   12 Real Numbers Line Signed Coordinates
  104.    wt: 7:   11 Signed Number Addition and Addition Properties
  105.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 7:   12 Real Number Additive Inverses or Negatives
  107.    wt: 7:   11 Real Number Addition
  108.    wt: 7:   2 Essentially one exercises three with solution
  109.    wt: 7:   6 Algebraic Solution Example
  110.    wt: 7:   5 Algebraic Solutions Introduction
  111.    wt: 7:   2 Three Examples
  112.    wt: 7:   10 Volume of Pyramid
  113.    wt: 7:   5 Common Divisors 60 45 via Prime
  114.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  115.    wt: 7:   2 Counting with Tables and Trees I
  116.    wt: 7:   9 subtracting signed numbers
  117.    wt: 7:   8 multiplying signed numbers
  118.    wt: 7:   6 adding signed numbers
  119.    wt: 7:   5 lengths and signs of numbers
  120.    wt: 7:   4 signed coordinates for regions in space
  121.    wt: 7:   6 Simplification of Fractions with Units
  122.    wt: 7:   4 Fractions with Units
  123.    wt: 7:   3 Multiplying Units and Numbers
  124.    wt: 7:   2 Equality and Units
  125.    wt: 7:   17 Efficient Ways to Add and Subtract
  126.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  127.    wt: 7:   14 Adding and Subtracting with Like Denominators
  128.    wt: 7:   13 Fraction Comparison Algebraic View
  129.    wt: 7:   12 Fraction Comparison
  130.    wt: 7:   2 Unit Fraction Multiplication
  131.    wt: 7:   1 What is a fraction Take II
  132.    wt: 7:   1 What is a fraction
  133.    wt: 7:   D Remainders Modulo 11 Pair Rule
  134.    wt: 7:   C Divisibility by 11 Integer Recognition Method
  135.    wt: 7:   10 Integer Multiplication Formulas
  136.    wt: 7:   26 Divisibility by 2 3 5 Example
  137.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  138.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  139.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  140.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  141.    wt: 7:   1 Remainder Arithmetic Modulo 10
  142.    wt: 7:   20 Uniqueness of Prime Factorization
  143.    wt: 7:   19 video Prime Factorization Unique
  144.    wt: 7:   18 video Count Factors given Prime Factorization
  145.    wt: 7:   17 Identify and Count Factors using Primes
  146.    wt: 7:   16 video Factors of 980 using prime
  147.    wt: 7:   9 Why Long Division Works Take II
  148.    wt: 7:   7 Long Divison Mistake Catching
  149.    wt: 7:   6 Why Decimal Long Division Methods Works Take I
  150.    wt: 7:   5 Long Division Include Zeroes or not
  151.    wt: 7:   3 Division Single Digit Divisor Example
  152.    wt: 7:   B Powers of Ten
  153.    wt: 7:   6 Multiplication Commutes Order Not Important
  154.    wt: 7:   5 Decimal Fraction Multiplication
  155.    wt: 7:   3 More One Digit Multipliers
  156.    wt: 7:   The 20 Times Table
  157.    wt: 7:   The 12 Times Table Visually
  158.    wt: 7:   Area Between Curves Lesson Take 2
  159.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  160.    wt: 7:   Postscript More on Better Performance
  161.    wt: 7:   Appendix E. How To Study Mathematics and Why
  162.    wt: 7:   Appendix B. How To Learn
  163.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  164.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  165.    wt: 7:   Foreword
  166.    wt: 7:   Chapter 12 Four Phases
  167.    wt: 7:   Chapter 11 Elementary Instruction
  168.    wt: 7:   Chapter 2 For and Against Mathematics
  169.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  170.    wt: 6:   2 arithmetic with signed numbers
  171.    wt: 6:   1 arithmetic with unsigned numbers
  172.    wt: 6:   04 29 New Mathematics Curriculum
  173.    wt: 6:   04 25 when to stop or suspend mathemat
  174.    wt: 6:   three kinds of reason in mathematics
  175.    wt: 6:   12 Goals and Objectives For Mathematics
  176.    wt: 6:   Ages 10 to 12 Geometry
  177.    wt: 6:   Ages 10 to 12 Arithmetic
  178.    wt: 6:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  179.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  180.    wt: 6:   8 Formulas for Fractional Exponents with Logarithms
  181.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  182.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  183.    wt: 6:   12 motivation for term arctan
  184.    wt: 6:   11 Component Method
  185.    wt: 6:   26 Formulas for products of sines and cosines
  186.    wt: 6:   17E Trig Formulas for dot and cross Products
  187.    wt: 6:   13 Trig Formulas for dot and cross Products
  188.    wt: 6:   11 sine and cosine double triple angle formulas
  189.    wt: 6:   PS H Distributive Law For Complex Numbers
  190.    wt: 6:   18 Triangle Similarity Take 1
  191.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  192.    wt: 6:   22 Multiplication of Signed Numbers
  193.    wt: 6:   21 Addition of Multiples of a Single Vector
  194.    wt: 6:   17 Arrows Rotate to Reverse with Length Unchanged
  195.    wt: 6:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  196.    wt: 6:   1 Fractions with Finite Decimal Expansions
  197.    wt: 6:   1 The Counting Origins of Numbers
  198.    wt: 6:   3 Inequalities Algebraically
  199.    wt: 6:   2 Fraction Operations Physical Development
  200.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  201.    wt: 6:   2 Algebraic View
  202.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  203.    wt: 6:   7 Pythagorean Theorem Chinese Square Proof
  204.    wt: 6:   6 Compound Interest Forward and Backwards
  205.    wt: 6:   5 Triangle Area Formula Backwards
  206.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  207.    wt: 6:   2 Linear Equation Literal Solution
  208.    wt: 6:   1 Changing Calculations
  209.    wt: 6:   16 Real Numbers Comparison
  210.    wt: 6:   15 Real Number Division
  211.    wt: 6:   14 Real Number Multiplication
  212.    wt: 6:   13 Real Number Subtraction
  213.    wt: 6:   10 Real Number Lengths and Signs
  214.    wt: 6:   4 Four Examples Fractional Coefficients
  215.    wt: 6:   3 Four Examples
  216.    wt: 6:   Skill Development Notes
  217.    wt: 6:   10 One Example
  218.    wt: 6:   8 Compound Interest Formula Evaluation
  219.    wt: 6:   7 Compound Interest Formula Introduction
  220.    wt: 6:   5 Box Volume Formula Example
  221.    wt: 6:   4 Circle Area Formula Example
  222.    wt: 6:   3 Triangle Area Formula Example
  223.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  224.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  225.    wt: 6:   4 Counting with Trees Product Rule Take I
  226.    wt: 6:   3 Counting with Tables and Trees II
  227.    wt: 6:   1 Counting and Counting Methods I
  228.    wt: 6:   7 negative and additive inverse
  229.    wt: 6:   7 Converting or Changing Units
  230.    wt: 6:   16 Addition Subtraction Comparision Compared
  231.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  232.    wt: 6:   9 Improper Fractions and Mixed Numbers
  233.    wt: 6:   6 Multiplication of Mixed Numbers
  234.    wt: 6:   6 Multiplication Algebraically Take II
  235.    wt: 6:   A Associative Law Theorectical Note
  236.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  237.    wt: 6:   1 Integers as Coordinates
  238.    wt: 6:   23 Remainder Arithmetic Modulo 2
  239.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  240.    wt: 6:   21 Remainder Arithmetic Modulo 3
  241.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  242.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  243.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  244.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  245.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  246.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  247.    wt: 6:   9 video Prime Factorization upto 19 squared
  248.    wt: 6:   8 video Prime Factorization upto 19
  249.    wt: 6:   6 Sieve of Eratosthenes and Square Rule
  250.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  251.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  252.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  253.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  254.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  255.    wt: 6:   Quick history of numbers and algebra
  256.    wt: 6:   011 Division of Time Intervals By Numbers
  257.    wt: 6:   Area Between Curves Lesson Take 1
  258.    wt: 6:   21 Chain Rule for powers
  259.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  260.    wt: 6:   2 Algebraic codification
  261.    wt: 6:   Appendix D. What to do in School and Why
  262.    wt: 6:   Appendix C. How to Read
  263.    wt: 6:   Chapter 30 Truth Tables
  264.    wt: 6:   Postscript What is a Variable
  265.    wt: 6:   Chapter 6 Change of Language
  266.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  267.    wt: 6:   Chapter 4 Longer Chains of Reason
  268.    wt: 6:   Chapter 3 Chains of Reason
  269.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  270.    wt: 6:   Chapter 21 Occurrence Tables
  271.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  272.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  273.    wt: 6:   Chapter 11 Accidental Patterns
  274.    wt: 6:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  275.    wt: 5:   Skills Chapter 2 Geometry
  276.    wt: 5:   Skills Chapter 1 Arithmetic
  277.    wt: 5:   Applied Maths Program14092009 POMME variant
  278.    wt: 5:   Postscript 2007 01 10
  279.    wt: 5:   Secondary Two Mathematics
  280.    wt: 5:   talk the algebra talk
  281.    wt: 5:   geometric implications for algebra
  282.    wt: 5:   Lessening Algebra Difficulties
  283.    wt: 5:   05 13 OldSiteEntrancePage
  284.    wt: 5:   formal or informal peer review
  285.    wt: 5:   Prequel In For A Penny In For A Pound
  286.    wt: 5:   22 Student Centered Highschool Mathematics
  287.    wt: 5:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  288.    wt: 5:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  289.    wt: 5:   22 Square Root function graphically
  290.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  291.    wt: 5:   12 Function Domain Recognition Exercises
  292.    wt: 5:   11 Function Domain Range Source and Targets
  293.    wt: 5:   10 Exponential Growth and Decay Models
  294.    wt: 5:   2 Square Root Simplification a prequel
  295.    wt: 5:   1 Calculator Starter Exercises
  296.    wt: 5:   11 arctan left inverse of tangent Graph
  297.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  298.    wt: 5:   1 graphing y=f(x a)
  299.    wt: 5:   Triangle Angles Sum To 180 Degrees
  300.    wt: 5:   Parallel Lines and Interior Angles
  301.    wt: 5:   11 Straight Lines Graphing y=mx
  302.    wt: 5:   17 tangent function angle sum formulas
  303.    wt: 5:   21 sine and cosine Half Angle Formulas
  304.    wt: 5:   17D cis formulas for sine cosines and tangent
  305.    wt: 5:   17A The complex number valued trig function cis
  306.    wt: 5:   21 Logarithms Powers and Exponentials
  307.    wt: 5:   12 Links Lessons elsewhere
  308.    wt: 5:   11 A Partial Summary
  309.    wt: 5:   PS E Multiplication with Polar Coordinates
  310.    wt: 5:   PS D Addition with Cartesian Coordinates
  311.    wt: 5:   PS B Parallelogram Construction Methods
  312.    wt: 5:   PS A Kite Construction Methods
  313.    wt: 5:   19 Right Triangle Similarity
  314.    wt: 5:   17 Right Bisectors of Triangle Sides
  315.    wt: 5:   16 Angles Subtended By Chords and Diameters
  316.    wt: 5:   14 Parallel Lines Postulate
  317.    wt: 5:   13 Angle Side Angle Failure
  318.    wt: 5:   10 Dropping a perpendicular to line
  319.    wt: 5:   2 Correspondence between Triangles
  320.    wt: 5:   1 Initial Concepts and Terms
  321.    wt: 5:   24 Signed Numbers Arithmmetic Properties
  322.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  323.    wt: 5:   19 Signed Multiples of Vectors
  324.    wt: 5:   18 Geometrically Why Vector Addition Commutes
  325.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  326.    wt: 5:   15 Head to Tails in place Addition Associative
  327.    wt: 5:   14 Vector Head to Tail Sums and Resultants
  328.    wt: 5:   13 Arrows and Vectors in a Plane
  329.    wt: 5:   9 Division with Digits after Decimal Point
  330.    wt: 5:   7 Arithmetic with Infinite Decimal Expansions
  331.    wt: 5:   5 Fractions with Infinite Decimal Expansions
  332.    wt: 5:   2 Counting Digits in Decimal Multiplication
  333.    wt: 5:   2 Combing Counts Addition Skills and Principles
  334.    wt: 5:   5 Areas of Rectangles Revisited
  335.    wt: 5:   4 Fraction Operations Axiomatic Development
  336.    wt: 5:   1 What is Proportionality
  337.    wt: 5:   3 Linear Equation Literal Solution More
  338.    wt: 5:   9 Coordinates for Regions in Space
  339.    wt: 5:   8 Coordinates for Maps and Planes
  340.    wt: 5:   7 Real Numbers as Line Cordinates
  341.    wt: 5:   6 Unsigned Real Numbers
  342.    wt: 5:   1 Whole and Natural Numbers
  343.    wt: 5:   1 Formulas Dependence and Function Notation
  344.    wt: 5:   1 Essentially One Unknown
  345.    wt: 5:   9 Three Examples
  346.    wt: 5:   6 Three Examples
  347.    wt: 5:   5 Three Examples
  348.    wt: 5:   9 Volume of Cone
  349.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  350.    wt: 5:   8 Sets of Numbers
  351.    wt: 5:   3 Counting with Sets etc
  352.    wt: 5:   2 Venn Diagrams
  353.    wt: 5:   1 Finite Sets
  354.    wt: 5:   4 A Brief Story of numbers and algebra
  355.    wt: 5:   arithmetic videos Real Player Format
  356.    wt: 5:   D Three Term Ratios
  357.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  358.    wt: 5:   8 Numerals Fractionals Quantals Take II
  359.    wt: 5:   7 Numerals Fractionals Quantals
  360.    wt: 5:   5 Equivalent Fractions
  361.    wt: 5:   4 Fraction Multiplication
  362.    wt: 5:   3 Unit fraction of a fraction
  363.    wt: 5:   B Integer Long Division Multiple Choices
  364.    wt: 5:   8 Multiplication by Signed Numbers Integers
  365.    wt: 5:   6 Multiplication by Natural Numbers
  366.    wt: 5:   3 Adding Movements with same direction
  367.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  368.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  369.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  370.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  371.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  372.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  373.    wt: 5:   5 Remainder Arithmetic Modulo 5
  374.    wt: 5:   7 Calculator Usage Notes and Cautions
  375.    wt: 5:   5 Prime Factorization and a Square Rule
  376.    wt: 5:   4 video Prime Factorization Introduction
  377.    wt: 5:   3 video Primes and Composites from 9 times table
  378.    wt: 5:   Formula Evaluation how to show work
  379.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  380.    wt: 5:   016 Numbering Occidental Calendar Days
  381.    wt: 5:   014 Counting Days with Calendars
  382.    wt: 5:   012 Division of Time Intervals by Time Intervals
  383.    wt: 5:   Example 2 volume of a cone
  384.    wt: 5:   Example 1. Area Between x and x squared
  385.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  386.    wt: 5:   Example 2
  387.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  388.    wt: 5:   38 Formulas and derivatives for powers and roots
  389.    wt: 5:   22 Chain Rule for polynomials
  390.    wt: 5:   20 Chain Rule for Pulley Systems
  391.    wt: 5:   19 Chain Rule for linear functions
  392.    wt: 5:   11 Quotient rule
  393.    wt: 5:   10 Power rule for negative integers
  394.    wt: 5:   3 Motivation for Limit Definition Take 2
  395.    wt: 5:   2 Motivation for Limit Definition Take 1
  396.    wt: 5:   3 Decimal insights for limits continuity convergence
  397.    wt: 5:   1 Numerical introduction
  398.    wt: 5:   Chapter 22 Complex Numbers
  399.    wt: 5:   Postscript B Mathematics Education References
  400.    wt: 5:   Postscript A Three Remarks
  401.    wt: 5:   Chapter 10 Transition
  402.    wt: 5:   Chapter 1 Introduction
  403.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  404.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  405.    wt: 5:   1 From Number Recognition and Counting to Arithmetic B
  406.    wt: 5:   1 From Number Recognition and Counting to Arithmetic A
  407.    wt: 5:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  408.    wt: 4:   Ramblings Extrinsic numbers theory
  409.    wt: 4:   Skills Chapter 3 Algebra
  410.    wt: 4:   10 statistics
  411.    wt: 4:   why bother
  412.    wt: 4:   three goals to set for students
  413.    wt: 4:   activities for students
  414.    wt: 4:   key notes and themes
  415.    wt: 4:   Mathematics Education Professors
  416.    wt: 4:   learning takes time
  417.    wt: 4:   grouping students according to ability
  418.    wt: 4:   Maps Plans Drawings
  419.    wt: 4:   how letters appear
  420.    wt: 4:   Secondary One Mathematics
  421.    wt: 4:   three difficulties
  422.    wt: 4:   mathematics curriculum shifts
  423.    wt: 4:   teaching tutoring algebraic reason
  424.    wt: 4:   standards for course material
  425.    wt: 4:   Theory of Knowledge
  426.    wt: 4:   mathematics instruction in general
  427.    wt: 4:   Education in mathematics science and technology
  428.    wt: 4:   cultivating intelligence
  429.    wt: 4:   Four ways to improve education reform
  430.    wt: 4:   need for a mixed mathematics curriculum
  431.    wt: 4:   fairness and inductive principles for instruction
  432.    wt: 4:   words for mathematics instructor
  433.    wt: 4:   chapitre 12 00 les iles et division
  434.    wt: 4:   chapitre 07 01 principle D induction mathematique
  435.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  436.    wt: 4:   11 Help and Defend Your Child or Teens Education
  437.    wt: 4:   17 Function maxima minima and their location
  438.    wt: 4:   2 Algebraic use of function notation
  439.    wt: 4:   10 quadratic exercises
  440.    wt: 4:   8 Notes for instructors or tutors
  441.    wt: 4:   2 Column Multiplication Method
  442.    wt: 4:   1 Polynomials Distributive Law
  443.    wt: 4:   16 cotangent function Definition Graph and Inverse
  444.    wt: 4:   15 cosecant function Definition Graph and Inverse
  445.    wt: 4:   14 secant function Definition Graph and Inverse
  446.    wt: 4:   13 cosecant function Definition Graph and Inverse
  447.    wt: 4:   10 arctan left inverse of tangent Definition
  448.    wt: 4:   9 motivation for name arcsin
  449.    wt: 4:   4 possible motivation for term arccos
  450.    wt: 4:   2 cosine function more properties
  451.    wt: 4:   1 cosine function properties
  452.    wt: 4:   2 Radian Measure Numerical Value of one degree
  453.    wt: 4:   15 Dot and Cross Product
  454.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  455.    wt: 4:   13 Velocity Vectors in Physics
  456.    wt: 4:   10 Parallelogram Addition Method
  457.    wt: 4:   2 Signed Coordinates
  458.    wt: 4:   1 Unsigned Coordinates
  459.    wt: 4:   4 graphing y=Asin(x c)
  460.    wt: 4:   3 graphing y=f(x c) plus K
  461.    wt: 4:   Parallel Lines and Parallel Transversals
  462.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  463.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  464.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  465.    wt: 4:   12 Straight Lines Graphing mx plus b
  466.    wt: 4:   10 Straight Lines through Origin Equations More
  467.    wt: 4:   8 Straight Lines Equation for vertical
  468.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  469.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  470.    wt: 4:   1 Straight Lines Slope Concept
  471.    wt: 4:   29 secant cosecant and cotangent for acute angles
  472.    wt: 4:   28 Expressing products of sines cosines as sums
  473.    wt: 4:   27 Logarithmic use of products of sines and cosines
  474.    wt: 4:   25 tangent double angle formula Slope connection
  475.    wt: 4:   24 tangent Angle Difference Formula
  476.    wt: 4:   20 sine and cosine Double Angle Formulas
  477.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  478.    wt: 4:   17G Pythagorean Theorem Converse
  479.    wt: 4:   17C sine and cosine double triple angle formulas
  480.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  481.    wt: 4:   14 cosine even and sine and tangent are odd
  482.    wt: 4:   12 Graph of tangent function for one period
  483.    wt: 4:   20 N th Roots of Complex Numbers
  484.    wt: 4:   15 Pythagorean Theorem Converse
  485.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  486.    wt: 4:   2 Complex Numbers made easier we hope
  487.    wt: 4:   12 Triangles Similarity More Problems
  488.    wt: 4:   11 Triangle Similarity Missing Side Problem
  489.    wt: 4:   4 Equations for lines three forms
  490.    wt: 4:   2 point slope equation for a line
  491.    wt: 4:   1 Numerical view of lines and their equations
  492.    wt: 4:   12 Spatial Coordinates
  493.    wt: 4:   11 Triangle Inequality
  494.    wt: 4:   PS G Rotation Distributes over Addition
  495.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  496.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  497.    wt: 4:   musings do not puiblish real numbers
  498.    wt: 4:   A Modular and Remainder Arithmetic
  499.    wt: 4:   A Signed Number Arithmetic Review
  500.    wt: 4:   26 More Less Greater Than Comparison
  501.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  502.    wt: 4:   23 Distributive Law Two Derivations
  503.    wt: 4:   8 Division and Mulplication of Compound Fractions
  504.    wt: 4:   6 Infinite Decimals Ending in 9 repeating
  505.    wt: 4:   4 Location of Point in Decimal Addition
  506.    wt: 4:   3 Location of Point in Decimal Multiplication
  507.    wt: 4:   5 Distributive Law for Whole Numbers
  508.    wt: 4:   2 More and Less Than for Counts and Measures
  509.    wt: 4:   1 Real Numbers Comparison
  510.    wt: 4:   5 Rational Numbers More
  511.    wt: 4:   4 Rational Numbers
  512.    wt: 4:   2 Integers
  513.    wt: 4:   3 Geometric Formulas and Function Notation
  514.    wt: 4:   2 Computation Rules Evaluation
  515.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  516.    wt: 4:   2 GE II Comparison
  517.    wt: 4:   1 GE Substitution four examples
  518.    wt: 4:   8 One Example
  519.    wt: 4:   7 Two Examples
  520.    wt: 4:   4 Two Examples
  521.    wt: 4:   3 Two Examples
  522.    wt: 4:   Using Letters for Physical Quantities
  523.    wt: 4:   Formula Usage Show Work Format
  524.    wt: 4:   9 Sets in Probability and Statistics
  525.    wt: 4:   7 Cautious or Safe Set Construction
  526.    wt: 4:   6 Power Set Notation
  527.    wt: 4:   5 Product Builder Notation
  528.    wt: 4:   4 Subset Builder Notation
  529.    wt: 4:   6 Three Notions of What is a Variable
  530.    wt: 4:   5 Talking about Numbers and Quantities
  531.    wt: 4:   2 What is a Variable
  532.    wt: 4:   B Fractions and Two Term Ratios
  533.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  534.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  535.    wt: 4:   9 Multiplying Integers
  536.    wt: 4:   7 Multiplication by Signs
  537.    wt: 4:   5 Zero Movement and Additive Inverses
  538.    wt: 4:   4 Adding Movements wiht opposite directions
  539.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  540.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  541.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  542.    wt: 4:   Exact Arithmetic Wholes and Fractions
  543.    wt: 4:   Expression Evaluation how to show work
  544.    wt: 4:   About folder contents
  545.    wt: 4:   015 School and work day counting tables
  546.    wt: 4:   013 Travel Time Tables
  547.    wt: 4:   010 Repeated Addition of Time Intervals
  548.    wt: 4:   1 Intro of Kids To Time Date Skills
  549.    wt: 4:   Example 1 volume of a pyramid
  550.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  551.    wt: 4:   Example 4 with x function of y
  552.    wt: 4:   Example 3
  553.    wt: 4:   Example 1
  554.    wt: 4:   29 Chain Rule Optional Reading
  555.    wt: 4:   28 Chain Rule Preparation for a Proof
  556.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  557.    wt: 4:   14 sine and cosine derivatives 2nd step
  558.    wt: 4:   13 sine and cosine derivatives 1st step
  559.    wt: 4:   12 Quotient rule examples
  560.    wt: 4:   4 Sum Rule
  561.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  562.    wt: 4:   9 Limits Continuity and Composition
  563.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  564.    wt: 4:   G.1 First Fundamental Theorem of Calculus
  565.    wt: 4:   Chapter 21 Arrow Addition
  566.    wt: 4:   Chapter 12. Units and Slopes
  567.    wt: 4:   Chapter 11. Graphing Slope versus Position
  568.    wt: 4:   Annotated Links to Material Elsehwere
  569.    wt: 4:   Chapter 9 The Two Ends
  570.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  571.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  572.    wt: 4:   Chapter 3 Algebra Difficulties
  573.    wt: 4:   Foreword
  574.    wt: 4:   Postscript D Reflections on Law of the Excluded Middle
  575.    wt: 4:   Postscript C Consistency as a Tool for Reason
  576.    wt: 4:   Chapter 24 Direct and Indirect Reason
  577.    wt: 4:   Chapter 23 Truth Tables
  578.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  579.    wt: 4:   Chapter 18 Sense and Knowledge
  580.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  581.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  582.    wt: 4:   Chapter 15 Objective Processes
  583.    wt: 4:   Chapter 10 Responsibility
  584.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  585.    wt: 4:   Chapter 2 Skill Development
  586.    wt: 4:   Chapter 1 Introduction
  587.    wt: 4:   Three Remarks
  588.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  589.    wt: 4:   L Skills with take home value
  590.    wt: 4:   Appendix A Calculus with Proofs for Keen or Gifted
  591.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  592.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  593.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  594.    wt: 4:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  595.    wt: 3:   Appendix 2 primary school Arithmetic 01
  596.    wt: 3:   Appendix 1 primary and preschool mathematic
  597.    wt: 3:   Skills Chapter 5 Calculus
  598.    wt: 3:   Skills Chapter 4 Logic
  599.    wt: 3:   Ramblings Introduction Algebra Essay
  600.    wt: 3:   Skills Chapter 0 Introduction
  601.    wt: 3:   4 algebra
  602.    wt: 3:   which way to go
  603.    wt: 3:   Teach the teachers plus goals
  604.    wt: 3:   permissions for teachers
  605.    wt: 3:   About site lesson plans
  606.    wt: 3:   modern education
  607.    wt: 3:   what should be learnt and When
  608.    wt: 3:   mathematics in context
  609.    wt: 3:   Education Reform Inconsistencies
  610.    wt: 3:   five decades make a difference
  611.    wt: 3:   teaching tips
  612.    wt: 3:   What to Tell Students
  613.    wt: 3:   Operational Viewpoint to Value
  614.    wt: 3:   Different Kinds of Reasoning in maths
  615.    wt: 3:   Leaner mathematics curriculum
  616.    wt: 3:   education an empirical art
  617.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  618.    wt: 3:   chapitre 04 02 Deuxieme enigme
  619.    wt: 3:   chapitre 04 01 Premiere enigme
  620.    wt: 3:   chapitre 02 00 La Communication des idees
  621.    wt: 3:   chapitre 01 00 Introduction
  622.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  623.    wt: 3:   B Energy Power02
  624.    wt: 3:   A Energy Power01
  625.    wt: 3:   2 Conductance Resistance Duality02
  626.    wt: 3:   1 Conductance Resistance Duality01
  627.    wt: 3:   2 Unlike resistors in parallel01
  628.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  629.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  630.    wt: 3:   24 Standards For Skill Develoment Take II
  631.    wt: 3:   24 Standards For Skill Develoment
  632.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  633.    wt: 3:   18 Primary School Mathematics
  634.    wt: 3:   17 Math Booklets for children and young teenagers
  635.    wt: 3:   16 Secondary Mathematics Tips
  636.    wt: 3:   15 Counting For Parents
  637.    wt: 3:   10 Ends values for work study instruction
  638.    wt: 3:   2 Reading and Writing Skills
  639.    wt: 3:   1 Speaking Skills
  640.    wt: 3:   Ages 9 to 10
  641.    wt: 3:   sign monoticity analysis example 2
  642.    wt: 3:   sign monoticity analysis example 1
  643.    wt: 3:   26 Function definitions done and coming
  644.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  645.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  646.    wt: 3:   23 Inverse Functions
  647.    wt: 3:   20 Interchanging coordinates a reflection
  648.    wt: 3:   19 Horizontal line rule and method
  649.    wt: 3:   18 Vertical Line Rule and Method
  650.    wt: 3:   16 Increasing or decreasing on intervals
  651.    wt: 3:   15 Sign analysis of functions
  652.    wt: 3:   14 Surjections Injections Bijections
  653.    wt: 3:   13 From one to one to many to one
  654.    wt: 3:   10 Interval Notation
  655.    wt: 3:   5 Function notation for geometric transformations
  656.    wt: 3:   1 Geometric Introduction of Function Notation
  657.    wt: 3:   9 quadratics physical and further context
  658.    wt: 3:   8 quadratics backward use of various formulas
  659.    wt: 3:   7 quadratic formulla derivation
  660.    wt: 3:   5 quadratics completing the square
  661.    wt: 3:   2 quadratics graphing in general
  662.    wt: 3:   1 quadratics graphing exercises
  663.    wt: 3:   5 Natural Logarithm Calculator Exercises
  664.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  665.    wt: 3:   7 Links Lessons Elsewhere
  666.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  667.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  668.    wt: 3:   4 Polynomials Long division linear divisor
  669.    wt: 3:   3 Polynomials Multiplication Addition
  670.    wt: 3:   8 arcsin left inverse of sine Graph
  671.    wt: 3:   7 arcsin left inverse of sine Definition
  672.    wt: 3:   6 Graph of arccos function
  673.    wt: 3:   5 Swapping Coordinates is a reflection
  674.    wt: 3:   3 Left Inverse of cosine arccos definition
  675.    wt: 3:   9 Summary Degrees to Radians and back
  676.    wt: 3:   1 Degrees and Radians Introduction
  677.    wt: 3:   6 Vectors with Coordinates
  678.    wt: 3:   3 Navigation with Arrows or Vectors
  679.    wt: 3:   Vector and Complex Number Applet
  680.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  681.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  682.    wt: 3:   Straight Lines ASA Intersection Study More
  683.    wt: 3:   Straight Lines ASA Intersection Study
  684.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  685.    wt: 3:   C Straight Lines Slope from Coordinates
  686.    wt: 3:   B Straight Line Slope Scaling Properties More
  687.    wt: 3:   A Straight Line Slope Scaling Properties
  688.    wt: 3:   14 Straight Lines Equations General Case
  689.    wt: 3:   7 Tangent Function is odd on this domain
  690.    wt: 3:   5 Tangent Function Graph
  691.    wt: 3:   4 Tangent Function Properties
  692.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  693.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  694.    wt: 3:   32 seven rows of pascals triangle
  695.    wt: 3:   18 sum of sinusoidal waves as a single wave
  696.    wt: 3:   17F Law of cosines
  697.    wt: 3:   16 Right Triangle Complementary Angle Relations
  698.    wt: 3:   15 sine cosine Complementary Angle Relations
  699.    wt: 3:   13 Graph of tangent function many periods
  700.    wt: 3:   11 tangent function undefined when terminal side vertical
  701.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  702.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  703.    wt: 3:   19 N th Roots of Unity
  704.    wt: 3:   18 Sixth Roots of Unity
  705.    wt: 3:   17 Cube Roots of unity
  706.    wt: 3:   16 References and Originality Question
  707.    wt: 3:   14 Law of cosines
  708.    wt: 3:   9 The complex number valued trig function cis
  709.    wt: 3:   1 Rectangular Polar Coordinates Review
  710.    wt: 3:   1 Angle Measurement with Degrees
  711.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  712.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  713.    wt: 3:   4 Similarity Definition with Coordinate
  714.    wt: 3:   3 Similarity by Design with coordinates
  715.    wt: 3:   2 Similarity By Design
  716.    wt: 3:   10 Midpoint of [a b] and [b a]
  717.    wt: 3:   13 Pythagorean spatial distance formulas
  718.    wt: 3:   10 Pythagorean plane distance formula
  719.    wt: 3:   2 Cartesian Coordinates with signs
  720.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  721.    wt: 3:   9 Construction of a right bisector
  722.    wt: 3:   8 Isoceles Triangles
  723.    wt: 3:   7 Angle Side Angle
  724.    wt: 3:   6 Ruler and compass Angle Bisection
  725.    wt: 3:   5 Side Angle Side
  726.    wt: 3:   4 Side Side Side
  727.    wt: 3:   3 Isometry of Triangles Congruence
  728.    wt: 3:   Short Course on Euclidean Geometry
  729.    wt: 3:   A Measurement with Ruler Proper Use
  730.    wt: 3:   6 Figuring with Maps Not to Scale
  731.    wt: 3:   2 Measuring Area Directly
  732.    wt: 3:   1 Length Measurement
  733.    wt: 3:   C Three Decimal Subtraction Methods
  734.    wt: 3:   6 Column Methods for Decimal Multiplication
  735.    wt: 3:   4 Commutative Law Groups Counting Form
  736.    wt: 3:   3 Multiplicative Counting Skills Principles
  737.    wt: 3:   5 Proportionality in Equivalent Fractions
  738.    wt: 3:   4 Rates Ratios and Proporitionality
  739.    wt: 3:   3 Proportionality Examples
  740.    wt: 3:   5 Equality in Algebra
  741.    wt: 3:   3 Product Axioms Two Forms
  742.    wt: 3:   2 Addition and Multiplication Axioms
  743.    wt: 3:   1 Equivalent Computation Rules
  744.    wt: 3:   4 Comparison of Negative Numbers
  745.    wt: 3:   3 More and Less Than with Unlike Signs
  746.    wt: 3:   3 Fractions
  747.    wt: 3:   5 Independent versus Dependent Variables
  748.    wt: 3:   4 Changing Letters
  749.    wt: 3:   4 Solving a triangular system exercise
  750.    wt: 3:   3 Solving triangular system example
  751.    wt: 3:   3 Adding Words To Arithmetic
  752.    wt: 3:   2 Time and Date Matters in School
  753.    wt: 3:   Volume of Solid by Cross Sections Lesson
  754.    wt: 3:   Summary
  755.    wt: 3:   1 Chain Rule in Reverse Integration Method
  756.    wt: 3:   A Chain Rule Real Player video examples
  757.    wt: 3:   31 Derivatives of inverse functions
  758.    wt: 3:   30Chain Rule A Proof
  759.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  760.    wt: 3:   26 Chain Rule Recognising outer inner functions
  761.    wt: 3:   25 Chain Rule Animated Examples Continued
  762.    wt: 3:   24 Chain Rule Animated Examples
  763.    wt: 3:   23 Chain Rule in general
  764.    wt: 3:   18 Chain Rule Introduction
  765.    wt: 3:   17 Derivatives of quotients of sine and cosine
  766.    wt: 3:   15 sine and cosine derivatives 3rd step
  767.    wt: 3:   9 Reciprocal rule
  768.    wt: 3:   8 Differentiation of polynomials
  769.    wt: 3:   7 Animated Differentiation Examples
  770.    wt: 3:   6 Power rule from product rule
  771.    wt: 3:   5 Product Rule
  772.    wt: 3:   8 Four Animated Examples
  773.    wt: 3:   7 Evaluation by immediate or delayed substitution
  774.    wt: 3:   6 Continuity at a point
  775.    wt: 3:   5 Jumps and absence of unlimited error control
  776.    wt: 3:   4 Numerical properties
  777.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  778.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  779.    wt: 3:   F.4 Finite Covering Theorem
  780.    wt: 3:   F.3 Intermediate Value Theorem
  781.    wt: 3:   F.2 Closed Range Theorem
  782.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  783.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  784.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  785.    wt: 3:   Chapter 8 Modern Instruction
  786.    wt: 3:   Chapter 7 Two Treatments of Geometry
  787.    wt: 3:   Chapter 5 Four References
  788.    wt: 3:   Postscript B More on Story Telling and Reason
  789.    wt: 3:   Postscript A Story Telling
  790.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  791.    wt: 3:   Foreword
  792.    wt: 3:   R Why Learn Mathematics Skills
  793.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  794.    wt: 3:   N Mathematics Prepare for College Studies
  795.    wt: 3:   Chapter 2 Why Sets
  796.    wt: 3:   Chapter 1 Arithmetic
  797.    wt: 3:   7 Games and Activities for Instruction
  798.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  799.    wt: 3:   Helping the Blind in Logic and Mathematics
  800.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  801.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  802.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  803.    wt: 3:   The Math Forum and Site Content
  804.    wt: 2:   G LAMP Introduction Problem Solving Skills
  805.    wt: 2:   E LAMP Introduction Modern Mathematics
  806.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  807.    wt: 2:   9 combinatorics probability sets
  808.    wt: 2:   8 analytic geometry etc
  809.    wt: 2:   7 logic review and decimals an odd combination
  810.    wt: 2:   6 polynomials etc
  811.    wt: 2:   5 logarithms and exponentials etc
  812.    wt: 2:   3 Euclidean Geometry Leanly
  813.    wt: 2:   What is POMME
  814.    wt: 2:   website reviews
  815.    wt: 2:   Math Ed if it must be short make it lean effective
  816.    wt: 2:   links Education Resources online
  817.    wt: 2:   site origins
  818.    wt: 2:   site eurekas
  819.    wt: 2:   teacher certification
  820.    wt: 2:   How to be a better instructor
  821.    wt: 2:   Motivation and Context Problem
  822.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  823.    wt: 2:   chapitre 06 00 Chaines de la raison
  824.    wt: 2:   chapitre 05 00 Deception
  825.    wt: 2:   chapitre 04 09 Regles accidentelles
  826.    wt: 2:   chapitre 04 08 Limitations et benefices
  827.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  828.    wt: 2:   chapitre 04 06 engagements
  829.    wt: 2:   chapitre 04 05 Implication versus suggestion
  830.    wt: 2:   chapitre 04 04 Parlons de la logique
  831.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  832.    wt: 2:   chapitre 04 00 Les regles d implication
  833.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  834.    wt: 2:   problemes responses
  835.    wt: 2:   2 Energy Power Heat07
  836.    wt: 2:   1 Energy Power Heat06
  837.    wt: 2:   D Wire Resistance Calculation02
  838.    wt: 2:   C Wire Resistance Calculation01
  839.    wt: 2:   B Wire Resistance Qualitative02
  840.    wt: 2:   A Wire Resistance Qualitative01
  841.    wt: 2:   3 Like resistors in parallel
  842.    wt: 2:   1 Like resistors in series
  843.    wt: 2:   C Electromotive force conventional current02
  844.    wt: 2:   B Electromotive force conventional current01
  845.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  846.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  847.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  848.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  849.    wt: 2:   14 Multiplication and Times Tables
  850.    wt: 2:   13 Addition and Addition Tables
  851.    wt: 2:   Ages 8 to 9
  852.    wt: 2:   Ages 7 to 8
  853.    wt: 2:   Ages 6 to 7
  854.    wt: 2:   Ages 4 plus to 5 plus
  855.    wt: 2:   Ages 3 plus to 4 plus
  856.    wt: 2:   9 Set theory term relation possible origins
  857.    wt: 2:   7 Functions with finite domains
  858.    wt: 2:   6 Set Existence Formation and Notation
  859.    wt: 2:   4 Function notation in and beyond mathematics
  860.    wt: 2:   3 Formula or function graphing exercise
  861.    wt: 2:   6 quadratics numerical approach
  862.    wt: 2:   4 quadratics difference of two squares
  863.    wt: 2:   3 quadratics factoring by inspection
  864.    wt: 2:   Quadratics in 10 steps
  865.    wt: 2:   Rewriting algebraic substitution as function substitutions
  866.    wt: 2:   8 Radian Measures of Common Angles
  867.    wt: 2:   7 Radian Measures in special Triangles
  868.    wt: 2:   6 Radian Measure to Degrees
  869.    wt: 2:   5 Degrees to Radian Measure
  870.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  871.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  872.    wt: 2:   A Global Time and Navigation
  873.    wt: 2:   9 Head to Tail Coordinate View
  874.    wt: 2:   8 Parallel Vectors
  875.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  876.    wt: 2:   5 Head To Tail Arrow Addition
  877.    wt: 2:   4 Resultant of a Sum of Movements
  878.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  879.    wt: 2:   Straight Lines Instersection Solving Equations
  880.    wt: 2:   Straight Lines Intersection of
  881.    wt: 2:   9 Straight Lines through Origin Equations
  882.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  883.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  884.    wt: 2:   31 basic secant cosecant cotangent trig identities
  885.    wt: 2:   30 unit circle calculation of six trigonometric functions
  886.    wt: 2:   10 Graphs of sines and cosines many periods
  887.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  888.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  889.    wt: 2:   7 Second Way to Calculate Products
  890.    wt: 2:   6 Field Properties of Complex Number
  891.    wt: 2:   5 An Easy Proof of the Distributive Law
  892.    wt: 2:   Appetizer A Complex Number Applet
  893.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  894.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  895.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  896.    wt: 2:   1 Early Concept of Like or Similar Shapes
  897.    wt: 2:   Four Simple Exercises
  898.    wt: 2:   8 Mid Point Formula
  899.    wt: 2:   5 Algebraic View of Slopes
  900.    wt: 2:   3 Slope product for perpendicular lines
  901.    wt: 2:   1 Cartesian Coordinates sans signs
  902.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  903.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  904.    wt: 2:   4 Angles on Maps Plans drawn to scale
  905.    wt: 2:   3 Lengths and Areas on Maps and Plans
  906.    wt: 2:   E Long Division Methods more
  907.    wt: 2:   D Long Division Methods
  908.    wt: 2:   B Decimal Comparison and Subtraction
  909.    wt: 2:   A Decimal Addition Columm Methods
  910.    wt: 2:   8 Column Multiplication Methods in General
  911.    wt: 2:   7 Decimals Multiplication Methods Examples
  912.    wt: 2:   6 Equations and Systems Equivalent or Implied
  913.    wt: 2:   4 Subtraction and Division Axioms
  914.    wt: 2:   5 Greater More Less Than Signs in General
  915.    wt: 2:   More Exercises
  916.    wt: 2:   Simple Exercises
  917.    wt: 2:   4 GE III Animated Examples
  918.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  919.    wt: 2:   3 GE III Equation Addition and Multiplication
  920.    wt: 2:   About Folder Contents
  921.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  922.    wt: 2:   8 Addition of Time Intervals via subtotaling
  923.    wt: 2:   7 Addition of Time Intervals
  924.    wt: 2:   6 How long is a million seconds
  925.    wt: 2:   5 Conversion Arithmetic
  926.    wt: 2:   4 Mixing and Changing Units of Time
  927.    wt: 2:   3 Units and Lengths of Time
  928.    wt: 2:   A Related Material in Volume 3
  929.    wt: 2:   2 Indefinite Integrals Exercises
  930.    wt: 2:   2 Second derivative test prequel
  931.    wt: 2:   36 Cube root derivative animated
  932.    wt: 2:   34 Derivative of exponential function
  933.    wt: 2:   33 Chain Rule Real Player video examples
  934.    wt: 2:   G.5 Motions With Bounded Velocities
  935.    wt: 2:   G.3 Constant Difference Theorem Proof
  936.    wt: 2:   F.5b Extreme Value Theorem
  937.    wt: 2:   F.5a Equicontinuity Theorems
  938.    wt: 2:   E2 Algebraic Properties of Limits
  939.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  940.    wt: 2:   PostScript For and Against Decimal Perspectives
  941.    wt: 2:   A1. Introduction
  942.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  943.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  944.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  945.    wt: 2:   Chapter 23 Links To Trigonometry
  946.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  947.    wt: 2:   Chapter 18. Slopes Areas Integration
  948.    wt: 2:   Chapter 17. Area Approximation
  949.    wt: 2:   Chapter 16. Velocity Approximation
  950.    wt: 2:   Chapter 15. Slope Approximation
  951.    wt: 2:   Chapter 13. Acceleration
  952.    wt: 2:   Chapter 10 Slopes and Units
  953.    wt: 2:   Chapter 2. Slopes and Ski Trails
  954.    wt: 2:   Chapter 1.Introduction
  955.    wt: 2:   Fall 1983 Calculus Appetizer
  956.    wt: 2:   Foreword
  957.    wt: 2:   Chapter 8 Change of Language
  958.    wt: 2:   Chapter 7 Longer Chains of Reason
  959.    wt: 2:   Chapter 6 Chains of Reason
  960.    wt: 2:   Chapter 5 Deception
  961.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  962.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  963.    wt: 2:   S Adding words to algebra
  964.    wt: 2:   O On Learning Mathematics and Science
  965.    wt: 2:   N Improving Marks on Tests and Finals
  966.    wt: 2:   G. Written work formats for developing and showing skill
  967.    wt: 2:   Chapter 6 More Algebra and Geometry
  968.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  969.    wt: 2:   Chapter 3 Algebra Starter Lessons
  970.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  971.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  972.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  973.    wt: 2:   Mathematics Education References
  974.    wt: 2:   Mathematics Education References
  975.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  976.    wt: 2:   More Algebra and Slope based Calculus Preview
  977.    wt: 2:   Systematic Algebra Skill Development Missing Links
  978.    wt: 1:   K LAMP Musings Science Education
  979.    wt: 1:   J LAMP Introduction Extrinsic Origins
  980.    wt: 1:   I LAMP Introduction Study Habits
  981.    wt: 1:   H LAMP Introduction Instructional Concepts
  982.    wt: 1:   F LAMP Introduction Prerequisites
  983.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  984.    wt: 1:   A Introduction Objectives
  985.    wt: 1:   problemes algebre et arithmetique
  986.    wt: 1:   4 Energy Power Heat09
  987.    wt: 1:   3 Energy Power Heat08
  988.    wt: 1:   E Energy Power05
  989.    wt: 1:   D Energy Power04
  990.    wt: 1:   C Energy Power03
  991.    wt: 1:   F Wire Resistance Calculation04
  992.    wt: 1:   E Wire Resistance Calculation03
  993.    wt: 1:   H Series Circuit02
  994.    wt: 1:   G Series Circuit01
  995.    wt: 1:   A Circuit Elements
  996.    wt: 1:   Home Tutoring and Home Schooling
  997.    wt: 1:   8 The Effect of Negative Remarks
  998.    wt: 1:   5 Patience Please for Yourself and Your Charges
  999.    wt: 1:   4 Learning Takes Time and Effort
  1000.    wt: 1:   3 Preparing for Science Studies
  1001.    wt: 1:   sign monoticity analysis example 4
  1002.    wt: 1:   sign monoticity analysis example 3
  1003.    wt: 1:   8 Set view of relations and functions
  1004.    wt: 1:   Introduction Reading Guide
  1005.    wt: 1:   A Quadratics Summary
  1006.    wt: 1:   9 Graphs of sine and cosine over one period
  1007.    wt: 1:   8 period of tangent function
  1008.    wt: 1:   7 period of sine and cosine
  1009.    wt: 1:   2 Quadrant I reference Angles
  1010.    wt: 1:   1 Unit Points Reflections Rotations
  1011.    wt: 1:   8 Unit Circle Development of Trigonometry
  1012.    wt: 1:   4 Multiplication Properties
  1013.    wt: 1:   3 Addition Properties
  1014.    wt: 1:   8 Triangles Cascade Problem Solving
  1015.    wt: 1:   7 Trignometric Ratios Unit Circle
  1016.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  1017.    wt: 1:   3 Trigonometric Ratios sine and cosine
  1018.    wt: 1:   Why Trigonometry the whyslopes view
  1019.    wt: 1:   8 Similarity of Triangles and Polygons
  1020.    wt: 1:   7 Translations Rotations Reflections Dilatations
  1021.    wt: 1:   6 Geometric Diagrams in Class
  1022.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  1023.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  1024.    wt: 1:   7 Exercises to test skill and concept mastery
  1025.    wt: 1:   6 Intersection of lines by solving linear systems
  1026.    wt: 1:   What is and is not here
  1027.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  1028.    wt: 1:   7 Complex Numbers Appetizer
  1029.    wt: 1:   5 Area Under Curve Exercise
  1030.    wt: 1:   4 Definite Integrals Evaluation Exercises
  1031.    wt: 1:   3 Two Chain Rule Method Exercises
  1032.    wt: 1:   A Related lessons in Volume 3
  1033.    wt: 1:   4 Second derivative test exercise example
  1034.    wt: 1:   3 Second derivative test
  1035.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  1036.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1037.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1038.    wt: 1:   F.1 What Functions are Continuous
  1039.    wt: 1:   E1 Error Control Inequalities
  1040.    wt: 1:   D2 Limits of Monotone Sequences
  1041.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  1042.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1043.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  1044.    wt: 1:   M Words to extend arithmetic
  1045.    wt: 1:   J. More on written work and showing skill
  1046.    wt: 1:   I. Logic and language skills
  1047.    wt: 1:   F. The student teacher tutor feedback loop
  1048.    wt: 1:   D. Check work a must with a caution
  1049.    wt: 1:   B. Domino effect of errors
  1050.    wt: 1:   A. Skill has to be seen to believed
  1051.    wt: 1:   How to Build Skills and Confidence
  1052.    wt: 1:   Chapter 8 Skipped Topics and Why
  1053.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  1054.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  1055.    wt: 1:   Implementation Notes
  1056.    wt: 1:   Which Way To Go
  1057.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1058.    wt: 16:   10 Euclid Algorithm with 129 125 and with 45 14
  1059.    wt: 13:   16 GCD and LCM of 650 225 via Prime
  1060.    wt: 13:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1061.    wt: 12:   2 More and Less Than with Unlike Signs
  1062.    wt: 12:   1 More and Less Than for Counts and Measures
  1063.    wt: 12:   2 Square Roots with Prime
  1064.    wt: 12:   14 GCD of 650 110 via Primes LCM via Product Rule
  1065.    wt: 12:   11 GCD 2700 288 via Euclid Algorithm
  1066.    wt: 12:   12 GCD 2700 288 via Prime
  1067.    wt: 12:   11 Another Single Digit Divisor Example
  1068.    wt: 11:   5 Square Roots with primes more still
  1069.    wt: 11:   4 Square Roots with primes more
  1070.    wt: 11:   3 Properties of Square Roots with example
  1071.    wt: 11:   1 Squares and Square Roots Introduction
  1072.    wt: 11:   11 What are real lengths and numbers
  1073.    wt: 11:   Long Division forwards and backwards Example 3
  1074.    wt: 11:   Long Division forwards and backwards Example 2
  1075.    wt: 11:   Long Division forwards and backwards Example 1
  1076.    wt: 11:   12 Why Long Division Works Take III
  1077.    wt: 11:   Appendix 1 Counting Revisited 15 minute video
  1078.    wt: 10:   3 Comparison of Negative Numbers
  1079.    wt: 10:   17 GCD LCM of 85 and 60 via Prime
  1080.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1081.    wt: 10:   21 Working With Signs
  1082.    wt: 10:   21 Reciprocals for Fractions and Wholes
  1083.    wt: 10:   Division with Counts and Length
  1084.    wt: 10:   2 Division with Single Digit Divisors
  1085.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1086.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1087.    wt: 10:   Video Power Notation in Decimal Expansion
  1088.    wt: 10:   1 Why 3 times 5 gives 15
  1089.    wt: 10:   Appendix 2 Three Decimal Subtraction Methods
  1090.    wt: 10:   Subtraction with J Conversions Example
  1091.    wt: 10:   Subtraction Another Video Lesson
  1092.    wt: 10:   9 22 Minute Subtraction Review Video
  1093.    wt: 10:   7 Subtraction for Decimal Fractions with Exercises
  1094.    wt: 10:   6 Subtraction with Conversion Example with Exercises
  1095.    wt: 10:   2 Subtraction Easy Case Examples
  1096.    wt: 10:   1 Comparison and Subtraction Easy Direct Cases
  1097.    wt: 10:   4. How to add with decimals B with conversions
  1098.    wt: 10:   2 Decimal Counting Practices
  1099.    wt: 10:   1. Explaining Addition Table
  1100.    wt: 10:   11 Place Value SI Standard International way
  1101.    wt: 10:   10 Names for Big Numbers and Powers of Ten Expansion
  1102.    wt: 10:   2 Groups of Three Place Value for Multidigit Decimals
  1103.    wt: 10:   1 Place Value in Three Digit Whole Numbers
  1104.    wt: 10:   Chapter 26 What is in chapters 27 to 31
  1105.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  1106.    wt: 10:   Chapter 21. Third Reading Guide
  1107.    wt: 10:   Chapter 18. Rules for Algebra
  1108.    wt: 10:   Chapter 14. Forward and Backward Use of a Formula
  1109.    wt: 10:   Postscript Unifying Theme A Fourth Skill For Algebra
  1110.    wt: 10:   Chapter 12. Shorthand Usage Guide
  1111.    wt: 10:   Chapter 11. Why Shorthand
  1112.    wt: 10:   Chapter 8 Three Skills For Algebra

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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