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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63 matches:

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

Web Page Search

503 matches:

  1.    wt: 5:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  2.    wt: 4:   4 A Brief Story of numbers and algebra
  3.    wt: 4:   D1 Sets and Sequences GLBs and LGBs
  4.    wt: 3:   Ramblings Extrinsic numbers theory
  5.    wt: 3:   9 combinatorics probability sets
  6.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  7.    wt: 3:   Rewriting algebraic substitution as function substitutions
  8.    wt: 3:   10 Midpoint of [a b] and [b a]
  9.    wt: 3:   PS H Distributive Law For Complex Numbers
  10.    wt: 3:   16 Angles Subtended By Chords and Diameters
  11.    wt: 3:   B Decimal Comparison and Subtraction
  12.    wt: 3:   5 Distributive Law for Whole Numbers
  13.    wt: 3:   2 Combing Counts Addition Skills and Principles
  14.    wt: 3:   1 Whole and Natural Numbers
  15.    wt: 3:   9 Sets in Probability and Statistics
  16.    wt: 3:   5 Talking about Numbers and Quantities
  17.    wt: 3:   6 Multiplication by Natural Numbers
  18.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  19.    wt: 3:   8 What skills and work habits to require
  20.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  21.    wt: 3:   Quick history of numbers and algebra
  22.    wt: 3:   How to Build Skills and Confidence
  23.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  24.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  25.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  26.    wt: 3:   More Algebra and Slope based Calculus Preview
  27.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  28.    wt: 2:   G LAMP Introduction Problem Solving Skills
  29.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  30.    wt: 2:   Ramblings Introduction Algebra Essay
  31.    wt: 2:   Skills Chapter 3 Algebra
  32.    wt: 2:   7 logic review and decimals an odd combination
  33.    wt: 2:   what should be learnt and When
  34.    wt: 2:   the trouble with algebra
  35.    wt: 2:   How to be a better instructor
  36.    wt: 2:   Motivation and Context Problem
  37.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  38.    wt: 2:   problemes algebre et arithmetique
  39.    wt: 2:   17 Math Booklets for children and young teenagers
  40.    wt: 2:   14 Multiplication and Times Tables
  41.    wt: 2:   13 Addition and Addition Tables
  42.    wt: 2:   12 Goals and Objectives For Mathematics
  43.    wt: 2:   2 Reading and Writing Skills
  44.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  45.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  46.    wt: 2:   9 Set theory term relation possible origins
  47.    wt: 2:   4 Function notation in and beyond mathematics
  48.    wt: 2:   11 Growth and Decay in Biology
  49.    wt: 2:   1 Polynomials Distributive Law
  50.    wt: 2:   9 Summary Degrees to Radians and back
  51.    wt: 2:   A Global Time and Navigation
  52.    wt: 2:   Vector and Complex Number Applet
  53.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  54.    wt: 2:   20 sine and cosine Double Angle Formulas
  55.    wt: 2:   17C sine and cosine double triple angle formulas
  56.    wt: 2:   14 cosine even and sine and tangent are odd
  57.    wt: 2:   11 sine and cosine double triple angle formulas
  58.    wt: 2:   5 An Easy Proof of the Distributive Law
  59.    wt: 2:   6 Ruler and compass Angle Bisection
  60.    wt: 2:   3 Lengths and Areas on Maps and Plans
  61.    wt: 2:   musings do not puiblish real numbers
  62.    wt: 2:   23 Distributive Law Two Derivations
  63.    wt: 2:   11 Signed Number Addition and Addition Properties
  64.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  65.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  66.    wt: 2:   6 Compound Interest Forward and Backwards
  67.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  68.    wt: 2:   4 Subtraction and Division Axioms
  69.    wt: 2:   2 More and Less Than for Counts and Measures
  70.    wt: 2:   13 Real Number Subtraction
  71.    wt: 2:   10 Real Number Lengths and Signs
  72.    wt: 2:   4 Subset Builder Notation
  73.    wt: 2:   1 Three Skills For Algebra
  74.    wt: 2:   1 More and Less Than for Counts and Measures
  75.    wt: 2:   3 Counting with Tables and Trees II
  76.    wt: 2:   2 Counting with Tables and Trees I
  77.    wt: 2:   11 What are real lengths and numbers
  78.    wt: 2:   9 subtracting signed numbers
  79.    wt: 2:   5 lengths and signs of numbers
  80.    wt: 2:   2 signed and unsigned numbers as coordinates
  81.    wt: 2:   3 Multiplying Units and Numbers
  82.    wt: 2:   1 Addition and Subtraction with Units
  83.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  84.    wt: 2:   B Fractions and Two Term Ratios
  85.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  86.    wt: 2:   17 Efficient Ways to Add and Subtract
  87.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  88.    wt: 2:   14 Adding and Subtracting with Like Denominators
  89.    wt: 2:   9 Improper Fractions and Mixed Numbers
  90.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  91.    wt: 2:   8 Multiplication by Signed Numbers Integers
  92.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  93.    wt: 2:   26 Divisibility by 2 3 5 Example
  94.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  95.    wt: 2:   3 video Primes and Composites from 9 times table
  96.    wt: 2:   Long Division forwards and backwards Example 3
  97.    wt: 2:   Long Division forwards and backwards Example 2
  98.    wt: 2:   Long Division forwards and backwards Example 1
  99.    wt: 2:   10 Division by Five Long and Short Ways
  100.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  101.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  102.    wt: 2:   6. Counting and adding units and mixed units
  103.    wt: 2:   015 School and work day counting tables
  104.    wt: 2:   011 Division of Time Intervals By Numbers
  105.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  106.    wt: 2:   Example 1. Area Between x and x squared
  107.    wt: 2:   38 Formulas and derivatives for powers and roots
  108.    wt: 2:   7 Evaluation by immediate or delayed substitution
  109.    wt: 2:   5 Jumps and absence of unlimited error control
  110.    wt: 2:   B3 Bolzano Weierstrass Theorem
  111.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  112.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  113.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  114.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  115.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  116.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  117.    wt: 2:   Chapter 10 Describing and Changing Calculations
  118.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  119.    wt: 2:   Chapter 8 Three Skills For Algebra
  120.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  121.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  122.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  123.    wt: 2:   Postscript B More on Story Telling and Reason
  124.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  125.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  126.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  127.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  128.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  129.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  130.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  131.    wt: 2:   I. Logic and language skills
  132.    wt: 2:   H Jigsaw puzzles and problem solving
  133.    wt: 2:   A. Skill has to be seen to believed
  134.    wt: 2:   Chapter 6 More Algebra and Geometry
  135.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  136.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  137.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  138.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  139.    wt: 2:   Helping the Blind in Logic and Mathematics
  140.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  141.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  142.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  143.    wt: 1:   Appendix 1 primary and preschool mathematic
  144.    wt: 1:   I LAMP Introduction Study Habits
  145.    wt: 1:   A Introduction Objectives
  146.    wt: 1:   Skills Chapter 5 Calculus
  147.    wt: 1:   Skills Chapter 4 Logic
  148.    wt: 1:   Skills Chapter 2 Geometry
  149.    wt: 1:   Skills Chapter 1 Arithmetic
  150.    wt: 1:   Skills Chapter 0 Introduction
  151.    wt: 1:   5 logarithms and exponentials etc
  152.    wt: 1:   4 algebra
  153.    wt: 1:   2 arithmetic with signed numbers
  154.    wt: 1:   1 arithmetic with unsigned numbers
  155.    wt: 1:   why bother
  156.    wt: 1:   website reviews
  157.    wt: 1:   Math Ed if it must be short make it lean effective
  158.    wt: 1:   About site lesson plans
  159.    wt: 1:   key notes and themes
  160.    wt: 1:   grouping students according to ability
  161.    wt: 1:   talk the algebra talk
  162.    wt: 1:   geometric implications for algebra
  163.    wt: 1:   teaching tutoring algebraic reason
  164.    wt: 1:   Lessening Algebra Difficulties
  165.    wt: 1:   standards for course material
  166.    wt: 1:   Theory of Knowledge
  167.    wt: 1:   Education in mathematics science and technology
  168.    wt: 1:   fairness and inductive principles for instruction
  169.    wt: 1:   chapitre 04 08 Limitations et benefices
  170.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  171.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  172.    wt: 1:   problemes responses
  173.    wt: 1:   Trois Notions qui menent a algebre
  174.    wt: 1:   deux definitions pour variable
  175.    wt: 1:   B Energy Power02
  176.    wt: 1:   B Wire Resistance Qualitative02
  177.    wt: 1:   E Kirchoffs Second Law
  178.    wt: 1:   D Kirchoff First Law
  179.    wt: 1:   B Electromotive force conventional current01
  180.    wt: 1:   Home Tutoring and Home Schooling
  181.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  182.    wt: 1:   24 Standards For Skill Develoment Take II
  183.    wt: 1:   24 Standards For Skill Develoment
  184.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  185.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  186.    wt: 1:   11 Help and Defend Your Child or Teens Education
  187.    wt: 1:   9 Streaming by Student Cooperation
  188.    wt: 1:   5 Patience Please for Yourself and Your Charges
  189.    wt: 1:   4 Learning Takes Time and Effort
  190.    wt: 1:   1 Speaking Skills
  191.    wt: 1:   Ages 12 to 14 Skills with take home value
  192.    wt: 1:   26 Function definitions done and coming
  193.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  194.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  195.    wt: 1:   19 Horizontal line rule and method
  196.    wt: 1:   18 Vertical Line Rule and Method
  197.    wt: 1:   17 Function maxima minima and their location
  198.    wt: 1:   14 Surjections Injections Bijections
  199.    wt: 1:   11 Function Domain Range Source and Targets
  200.    wt: 1:   8 Set view of relations and functions
  201.    wt: 1:   6 Set Existence Formation and Notation
  202.    wt: 1:   2 Algebraic use of function notation
  203.    wt: 1:   9 quadratics physical and further context
  204.    wt: 1:   8 quadratics backward use of various formulas
  205.    wt: 1:   3 quadratics factoring by inspection
  206.    wt: 1:   10 Exponential Growth and Decay Models
  207.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  208.    wt: 1:   5 Natural Logarithm Calculator Exercises
  209.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  210.    wt: 1:   16 cotangent function Definition Graph and Inverse
  211.    wt: 1:   15 cosecant function Definition Graph and Inverse
  212.    wt: 1:   14 secant function Definition Graph and Inverse
  213.    wt: 1:   13 cosecant function Definition Graph and Inverse
  214.    wt: 1:   4 possible motivation for term arccos
  215.    wt: 1:   1 Degrees and Radians Introduction
  216.    wt: 1:   15 Dot and Cross Product
  217.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  218.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  219.    wt: 1:   Parallel Lines and Parallel Transversals
  220.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  221.    wt: 1:   Parallel Lines and Interior Angles
  222.    wt: 1:   B Straight Line Slope Scaling Properties More
  223.    wt: 1:   12 Straight Lines Graphing mx plus b
  224.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  225.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  226.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  227.    wt: 1:   31 basic secant cosecant cotangent trig identities
  228.    wt: 1:   29 secant cosecant and cotangent for acute angles
  229.    wt: 1:   27 Logarithmic use of products of sines and cosines
  230.    wt: 1:   26 Formulas for products of sines and cosines
  231.    wt: 1:   25 tangent double angle formula Slope connection
  232.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  233.    wt: 1:   21 sine and cosine Half Angle Formulas
  234.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  235.    wt: 1:   17F Law of cosines
  236.    wt: 1:   17E Trig Formulas for dot and cross Products
  237.    wt: 1:   17D cis formulas for sine cosines and tangent
  238.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  239.    wt: 1:   17A The complex number valued trig function cis
  240.    wt: 1:   10 Graphs of sines and cosines many periods
  241.    wt: 1:   9 Graphs of sine and cosine over one period
  242.    wt: 1:   7 period of sine and cosine
  243.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  244.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  245.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  246.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  247.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  248.    wt: 1:   21 Logarithms Powers and Exponentials
  249.    wt: 1:   20 N th Roots of Complex Numbers
  250.    wt: 1:   17 Cube Roots of unity
  251.    wt: 1:   16 References and Originality Question
  252.    wt: 1:   14 Law of cosines
  253.    wt: 1:   13 Trig Formulas for dot and cross Products
  254.    wt: 1:   12 cis formulas for sine cosines and tangent
  255.    wt: 1:   9 The complex number valued trig function cis
  256.    wt: 1:   6 Field Properties of Complex Number
  257.    wt: 1:   2 Complex Numbers made easier we hope
  258.    wt: 1:   Appetizer A Complex Number Applet
  259.    wt: 1:   8 Triangles Cascade Problem Solving
  260.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  261.    wt: 1:   3 Trigonometric Ratios sine and cosine
  262.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  263.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  264.    wt: 1:   12 Triangles Similarity More Problems
  265.    wt: 1:   11 Triangle Similarity Missing Side Problem
  266.    wt: 1:   8 Similarity of Triangles and Polygons
  267.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  268.    wt: 1:   3 Similarity by Design with coordinates
  269.    wt: 1:   2 Similarity By Design
  270.    wt: 1:   7 Exercises to test skill and concept mastery
  271.    wt: 1:   6 Intersection of lines by solving linear systems
  272.    wt: 1:   5 Algebraic View of Slopes
  273.    wt: 1:   1 Numerical view of lines and their equations
  274.    wt: 1:   What is and is not here
  275.    wt: 1:   8 Distance Between Points on a Line
  276.    wt: 1:   7 Complex Numbers Appetizer
  277.    wt: 1:   6 Polar Multiplication and Rotation
  278.    wt: 1:   5 Cartesian Addition and Translation
  279.    wt: 1:   4 Polar Coordinates to and from
  280.    wt: 1:   PS G Rotation Distributes over Addition
  281.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  282.    wt: 1:   PS B Parallelogram Construction Methods
  283.    wt: 1:   17 Right Bisectors of Triangle Sides
  284.    wt: 1:   9 Construction of a right bisector
  285.    wt: 1:   2 Correspondence between Triangles
  286.    wt: 1:   1 Initial Concepts and Terms
  287.    wt: 1:   About Folder Contents
  288.    wt: 1:   A Modular and Remainder Arithmetic
  289.    wt: 1:   A Signed Number Arithmetic Review
  290.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  291.    wt: 1:   22 Multiplication of Signed Numbers
  292.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  293.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  294.    wt: 1:   13 Arrows and Vectors in a Plane
  295.    wt: 1:   12 Real Numbers Line Signed Coordinates
  296.    wt: 1:   8 Division and Mulplication of Compound Fractions
  297.    wt: 1:   C Three Decimal Subtraction Methods
  298.    wt: 1:   4 Commutative Law Groups Counting Form
  299.    wt: 1:   3 Multiplicative Counting Skills Principles
  300.    wt: 1:   1 The Counting Origins of Numbers
  301.    wt: 1:   3 Inequalities Algebraically
  302.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  303.    wt: 1:   4 Rates Ratios and Proporitionality
  304.    wt: 1:   2 Algebraic View
  305.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  306.    wt: 1:   5 Triangle Area Formula Backwards
  307.    wt: 1:   6 Equations and Systems Equivalent or Implied
  308.    wt: 1:   5 Equality in Algebra
  309.    wt: 1:   2 Addition and Multiplication Axioms
  310.    wt: 1:   4 Comparison of Negative Numbers
  311.    wt: 1:   3 More and Less Than with Unlike Signs
  312.    wt: 1:   1 Real Numbers Comparison
  313.    wt: 1:   16 Real Numbers Comparison
  314.    wt: 1:   15 Real Number Division
  315.    wt: 1:   14 Real Number Multiplication
  316.    wt: 1:   12 Real Number Additive Inverses or Negatives
  317.    wt: 1:   11 Real Number Addition
  318.    wt: 1:   8 Coordinates for Maps and Planes
  319.    wt: 1:   7 Real Numbers as Line Cordinates
  320.    wt: 1:   6 Unsigned Real Numbers
  321.    wt: 1:   5 Rational Numbers More
  322.    wt: 1:   4 Rational Numbers
  323.    wt: 1:   5 Independent versus Dependent Variables
  324.    wt: 1:   3 Geometric Formulas and Function Notation
  325.    wt: 1:   1 Formulas Dependence and Function Notation
  326.    wt: 1:   3 GE III Equation Addition and Multiplication
  327.    wt: 1:   1 GE Substitution four examples
  328.    wt: 1:   6 Algebraic Solution Example
  329.    wt: 1:   5 Algebraic Solutions Introduction
  330.    wt: 1:   5 Box Volume Formula Example
  331.    wt: 1:   1 Written work formats for developing and showing skill
  332.    wt: 1:   8 Sets of Numbers
  333.    wt: 1:   5 Product Builder Notation
  334.    wt: 1:   6 Three Notions of What is a Variable
  335.    wt: 1:   2 What is a Variable
  336.    wt: 1:   About Folder Contents
  337.    wt: 1:   3 Comparison of Negative Numbers
  338.    wt: 1:   2 More and Less Than with Unlike Signs
  339.    wt: 1:   1 Squares and Square Roots Introduction
  340.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  341.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  342.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  343.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  344.    wt: 1:   7 GCD and LCM from prime factorization
  345.    wt: 1:   4 LCM of 8 and 10 via Prime
  346.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  347.    wt: 1:   1 Counting and Counting Methods I
  348.    wt: 1:   10 dividing signed numbers
  349.    wt: 1:   8 multiplying signed numbers
  350.    wt: 1:   7 negative and additive inverse
  351.    wt: 1:   6 adding signed numbers
  352.    wt: 1:   3 signed coordinates for maps and planes
  353.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  354.    wt: 1:   2 Equality and Units
  355.    wt: 1:   21 Reciprocals for Fractions and Wholes
  356.    wt: 1:   16 Addition Subtraction Comparision Compared
  357.    wt: 1:   13 Fraction Comparison Algebraic View
  358.    wt: 1:   11 Simplification an Algebraic View
  359.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  360.    wt: 1:   6 Multiplication of Mixed Numbers
  361.    wt: 1:   6 Multiplication Algebraically Take II
  362.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  363.    wt: 1:   B Integer Long Division Multiple Choices
  364.    wt: 1:   A Associative Law Theorectical Note
  365.    wt: 1:   13 Subtraction with Additive Inverse
  366.    wt: 1:   11 Adding Integers Formulas and Examples
  367.    wt: 1:   7 Multiplication by Signs
  368.    wt: 1:   5 Zero Movement and Additive Inverses
  369.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  370.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  371.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  372.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  373.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  374.    wt: 1:   17 Identify and Count Factors using Primes
  375.    wt: 1:   12 LCD GCD and LCM using Primes
  376.    wt: 1:   7 Calculator Usage Notes and Cautions
  377.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  378.    wt: 1:   5 Prime Factorization and a Square Rule
  379.    wt: 1:   2 Prime and Composites less than 16
  380.    wt: 1:   1 video how Products are bigger than factor
  381.    wt: 1:   Long Division Backwards more
  382.    wt: 1:   Long Division Backward
  383.    wt: 1:   Division with Counts and Length
  384.    wt: 1:   B Powers of Ten
  385.    wt: 1:   A Elementary Basis for Multiplication Methods
  386.    wt: 1:   4 Two and Three Digit Multipliers
  387.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  388.    wt: 1:   Subtraction with J Conversions Example
  389.    wt: 1:   Subtraction Another Video Lesson
  390.    wt: 1:   9 22 Minute Subtraction Review Video
  391.    wt: 1:   8 Subtraction with Units of Measure
  392.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  393.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  394.    wt: 1:   5 A Tip for Efficent Subtraction
  395.    wt: 1:   2 Subtraction Easy Case Examples
  396.    wt: 1:   4. How to add with decimals B with conversions
  397.    wt: 1:   1. Explaining Addition Table
  398.    wt: 1:   11 Place Value SI Standard International way
  399.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  400.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  401.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  402.    wt: 1:   Exact Arithmetic Wholes and Fractions
  403.    wt: 1:   The 20 Times Table
  404.    wt: 1:   The 12 Times Table Visually
  405.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  406.    wt: 1:   About folder contents
  407.    wt: 1:   016 Numbering Occidental Calendar Days
  408.    wt: 1:   013 Travel Time Tables
  409.    wt: 1:   012 Division of Time Intervals by Time Intervals
  410.    wt: 1:   8 Addition of Time Intervals via subtotaling
  411.    wt: 1:   4 Mixing and Changing Units of Time
  412.    wt: 1:   3 Units and Lengths of Time
  413.    wt: 1:   2 Time and Date Matters in School
  414.    wt: 1:   1 Intro of Kids To Time Date Skills
  415.    wt: 1:   Volume of Solid by Cross Sections Lesson
  416.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  417.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  418.    wt: 1:   Area Between Curves Lesson Take 2
  419.    wt: 1:   Area Between Curves Lesson Take 1
  420.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  421.    wt: 1:   36 Cube root derivative animated
  422.    wt: 1:   17 Derivatives of quotients of sine and cosine
  423.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  424.    wt: 1:   15 sine and cosine derivatives 3rd step
  425.    wt: 1:   14 sine and cosine derivatives 2nd step
  426.    wt: 1:   13 sine and cosine derivatives 1st step
  427.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  428.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  429.    wt: 1:   9 Limits Continuity and Composition
  430.    wt: 1:   2 Algebraic codification
  431.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  432.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  433.    wt: 1:   G.5 Motions With Bounded Velocities
  434.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  435.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  436.    wt: 1:   F.5b Extreme Value Theorem
  437.    wt: 1:   E2 Algebraic Properties of Limits
  438.    wt: 1:   PostScript For and Against Decimal Perspectives
  439.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  440.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  441.    wt: 1:   Chapter 22 Complex Numbers
  442.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  443.    wt: 1:   Chapter 12. Units and Slopes
  444.    wt: 1:   Chapter 10 Slopes and Units
  445.    wt: 1:   Chapter 9 About First Courses in Calculus
  446.    wt: 1:   Chapter 7 Slopes and Velocity
  447.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  448.    wt: 1:   Chapter 2. Slopes and Ski Trails
  449.    wt: 1:   Postscript More on Better Performance
  450.    wt: 1:   Postscript For Better Performance
  451.    wt: 1:   Appendix E. How To Study Mathematics and Why
  452.    wt: 1:   Appendix D. What to do in School and Why
  453.    wt: 1:   Appendix B. How To Learn
  454.    wt: 1:   Chapter 31 Direct and Indirect Reason
  455.    wt: 1:   Chapter 30 Truth Tables
  456.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  457.    wt: 1:   Chapter 28 Occurrence Tables
  458.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  459.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  460.    wt: 1:   Chapter 20. Degrees and Radians
  461.    wt: 1:   Chapter 19. Functions and Sets
  462.    wt: 1:   Chapter 18. Rules for Algebra
  463.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  464.    wt: 1:   Chapter 12. Shorthand Usage Guide
  465.    wt: 1:   Chapter 11. Why Shorthand
  466.    wt: 1:   Postscript What is a Variable
  467.    wt: 1:   Postscript B Mathematics Education References
  468.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  469.    wt: 1:   Chapter 3 Algebra Difficulties
  470.    wt: 1:   Chapter 2 For and Against Mathematics
  471.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  472.    wt: 1:   Chapter 24 Direct and Indirect Reason
  473.    wt: 1:   Chapter 23 Truth Tables
  474.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  475.    wt: 1:   Chapter 21 Occurrence Tables
  476.    wt: 1:   Chapter 18 Sense and Knowledge
  477.    wt: 1:   Chapter 15 Objective Processes
  478.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  479.    wt: 1:   Chapter 10 Responsibility
  480.    wt: 1:   S Adding words to algebra
  481.    wt: 1:   R Why Learn Mathematics Skills
  482.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  483.    wt: 1:   O On Learning Mathematics and Science
  484.    wt: 1:   L Skills with take home value
  485.    wt: 1:   N Improving Marks on Tests and Finals
  486.    wt: 1:   J. More on written work and showing skill
  487.    wt: 1:   H more Routine to non routine problem solving
  488.    wt: 1:   G. Written work formats for developing and showing skill
  489.    wt: 1:   F. The student teacher tutor feedback loop
  490.    wt: 1:   E. When and how to correct errors
  491.    wt: 1:   C. Domino effect of being careful
  492.    wt: 1:   B. Domino effect of errors
  493.    wt: 1:   Chapter 8 Skipped Topics and Why
  494.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  495.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  496.    wt: 1:   Chapter 3 Algebra Starter Lessons
  497.    wt: 1:   7 Games and Activities for Instruction
  498.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  499.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  500.    wt: 1:   Systematic Algebra Skill Development Missing Links
  501.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  502.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  503.    wt: 1:   The Math Forum and Site Content

Extended Search

899 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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