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

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

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

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

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

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

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

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53 matches:

  1.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   13 Lessons on Limits and Continuity/
  3.    wt: 5:   5 Lessons on Integration/
  4.    wt: 5:   4 Lessons on Using Derivatives/
  5.    wt: 5:   38 Lessons on Calculating Derivatives/
  6.    wt: 4:   70 Calculus Starter Lessons/
  7.    wt: 3:   A Origins of Counting and Figuring Methods/
  8.    wt: 3:   9 Proportionality Backwards and Forwards/
  9.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  10.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  11.    wt: 3:   4 Computation Rules and Function Notation/
  12.    wt: 3:   Step 1 Stick diagram and fractions/
  13.    wt: 2:   B Real Numbers Extrinsic Development/
  14.    wt: 2:   10 Examples of Algebraic Reasoning/
  15.    wt: 2:   8 Unifying Theme For Algebra/
  16.    wt: 2:   5 Real Numbers/
  17.    wt: 2:   Step 4 Gaussian Elimination/
  18.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  19.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  20.    wt: 2:   3 Solving Linear Equations/
  21.    wt: 2:   2 Formula Forward Use Evaluation/
  22.    wt: 2:   1 Working With Sets/
  23.    wt: 2:   Algebra Starter Lessons/
  24.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  25.    wt: 2:   11 Squares and Square Roots/
  26.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  27.    wt: 2:   9 Combinatorics Trees Tables and Products/
  28.    wt: 2:   7 Arithmetic and Fractions with Units/
  29.    wt: 2:   6 Fractions and Ratios/
  30.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  31.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 2:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  34.    wt: 1:   12 Function Translating and Rescaling/
  35.    wt: 1:   11 Parallel Straight Lines and Transversals/
  36.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  37.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  38.    wt: 1:   4 Lines and Slopes Take 1/
  39.    wt: 1:   3 Cartesian and Polar Coordinates/
  40.    wt: 1:   8 Arithmetic with Signed Numbers/
  41.    wt: 1:   5 Integers/
  42.    wt: 1:   3 Prime Factorization Skills/
  43.    wt: 1:   D Decimal Long Division Methods/
  44.    wt: 1:   C Decimal Multiplication Methods/
  45.    wt: 1:   2 Arithmetic with Decimals/
  46.    wt: 1:   1 Decimal Place Value/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  49.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  50.    wt: 1:   Work and Study Tips/
  51.    wt: 1:   Resources and Reciprocal Links/
  52.    wt: 1:   Mathematics 506 Lessons/
  53.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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288 matches:

  1.    wt: 5:   5 Jumps and absence of unlimited error control
  2.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  3.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  4.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  5.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 2:   14 cosine even and sine and tangent are odd
  7.    wt: 2:   3 Lengths and Areas on Maps and Plans
  8.    wt: 2:   2 More and Less Than for Counts and Measures
  9.    wt: 2:   1 More and Less Than for Counts and Measures
  10.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  11.    wt: 2:   6. Counting and adding units and mixed units
  12.    wt: 2:   38 Formulas and derivatives for powers and roots
  13.    wt: 2:   E1 Error Control Inequalities
  14.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  15.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  16.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  17.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  18.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  19.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  20.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  21.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  22.    wt: 2:   E. When and how to correct errors
  23.    wt: 2:   Chapter 3 Algebra Starter Lessons
  24.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  25.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  26.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  27.    wt: 2:   More Algebra and Slope based Calculus Preview
  28.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  29.    wt: 1:   Appendix 1 primary and preschool mathematic
  30.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  31.    wt: 1:   Skills Chapter 5 Calculus
  32.    wt: 1:   7 logic review and decimals an odd combination
  33.    wt: 1:   5 logarithms and exponentials etc
  34.    wt: 1:   key notes and themes
  35.    wt: 1:   what should be learnt and When
  36.    wt: 1:   standards for course material
  37.    wt: 1:   Education in mathematics science and technology
  38.    wt: 1:   Motivation and Context Problem
  39.    wt: 1:   fairness and inductive principles for instruction
  40.    wt: 1:   Home Tutoring and Home Schooling
  41.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  42.    wt: 1:   24 Standards For Skill Develoment Take II
  43.    wt: 1:   24 Standards For Skill Develoment
  44.    wt: 1:   17 Math Booklets for children and young teenagers
  45.    wt: 1:   14 Multiplication and Times Tables
  46.    wt: 1:   13 Addition and Addition Tables
  47.    wt: 1:   12 Goals and Objectives For Mathematics
  48.    wt: 1:   11 Help and Defend Your Child or Teens Education
  49.    wt: 1:   5 Patience Please for Yourself and Your Charges
  50.    wt: 1:   4 Learning Takes Time and Effort
  51.    wt: 1:   2 Reading and Writing Skills
  52.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  53.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  54.    wt: 1:   26 Function definitions done and coming
  55.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  56.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  57.    wt: 1:   19 Horizontal line rule and method
  58.    wt: 1:   18 Vertical Line Rule and Method
  59.    wt: 1:   17 Function maxima minima and their location
  60.    wt: 1:   11 Function Domain Range Source and Targets
  61.    wt: 1:   8 Set view of relations and functions
  62.    wt: 1:   6 Set Existence Formation and Notation
  63.    wt: 1:   4 Function notation in and beyond mathematics
  64.    wt: 1:   9 quadratics physical and further context
  65.    wt: 1:   11 Growth and Decay in Biology
  66.    wt: 1:   10 Exponential Growth and Decay Models
  67.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  68.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  69.    wt: 1:   1 Calculator Starter Exercises
  70.    wt: 1:   7 Links Lessons Elsewhere
  71.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  72.    wt: 1:   16 cotangent function Definition Graph and Inverse
  73.    wt: 1:   15 cosecant function Definition Graph and Inverse
  74.    wt: 1:   14 secant function Definition Graph and Inverse
  75.    wt: 1:   13 cosecant function Definition Graph and Inverse
  76.    wt: 1:   9 Summary Degrees to Radians and back
  77.    wt: 1:   1 Degrees and Radians Introduction
  78.    wt: 1:   A Global Time and Navigation
  79.    wt: 1:   15 Dot and Cross Product
  80.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  81.    wt: 1:   Vector and Complex Number Applet
  82.    wt: 1:   Parallel Lines and Parallel Transversals
  83.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  84.    wt: 1:   Parallel Lines and Interior Angles
  85.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  86.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  87.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  88.    wt: 1:   29 secant cosecant and cotangent for acute angles
  89.    wt: 1:   27 Logarithmic use of products of sines and cosines
  90.    wt: 1:   26 Formulas for products of sines and cosines
  91.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  92.    wt: 1:   21 sine and cosine Half Angle Formulas
  93.    wt: 1:   20 sine and cosine Double Angle Formulas
  94.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  95.    wt: 1:   17E Trig Formulas for dot and cross Products
  96.    wt: 1:   17D cis formulas for sine cosines and tangent
  97.    wt: 1:   17C sine and cosine double triple angle formulas
  98.    wt: 1:   10 Graphs of sines and cosines many periods
  99.    wt: 1:   9 Graphs of sine and cosine over one period
  100.    wt: 1:   7 period of sine and cosine
  101.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  102.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  103.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  104.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  105.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  106.    wt: 1:   21 Logarithms Powers and Exponentials
  107.    wt: 1:   16 References and Originality Question
  108.    wt: 1:   13 Trig Formulas for dot and cross Products
  109.    wt: 1:   12 cis formulas for sine cosines and tangent
  110.    wt: 1:   11 sine and cosine double triple angle formulas
  111.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  112.    wt: 1:   3 Trigonometric Ratios sine and cosine
  113.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  114.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  115.    wt: 1:   8 Similarity of Triangles and Polygons
  116.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  117.    wt: 1:   12 Links Lessons elsewhere
  118.    wt: 1:   10 Midpoint of [a b] and [b a]
  119.    wt: 1:   7 Exercises to test skill and concept mastery
  120.    wt: 1:   1 Numerical view of lines and their equations
  121.    wt: 1:   What is and is not here
  122.    wt: 1:   6 Polar Multiplication and Rotation
  123.    wt: 1:   5 Cartesian Addition and Translation
  124.    wt: 1:   4 Polar Coordinates to and from
  125.    wt: 1:   16 Angles Subtended By Chords and Diameters
  126.    wt: 1:   6 Ruler and compass Angle Bisection
  127.    wt: 1:   1 Initial Concepts and Terms
  128.    wt: 1:   A Modular and Remainder Arithmetic
  129.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  130.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  131.    wt: 1:   13 Arrows and Vectors in a Plane
  132.    wt: 1:   11 Signed Number Addition and Addition Properties
  133.    wt: 1:   8 Division and Mulplication of Compound Fractions
  134.    wt: 1:   B Decimal Comparison and Subtraction
  135.    wt: 1:   2 Combing Counts Addition Skills and Principles
  136.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  137.    wt: 1:   4 Rates Ratios and Proporitionality
  138.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  139.    wt: 1:   6 Compound Interest Forward and Backwards
  140.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  141.    wt: 1:   6 Equations and Systems Equivalent or Implied
  142.    wt: 1:   4 Subtraction and Division Axioms
  143.    wt: 1:   2 Addition and Multiplication Axioms
  144.    wt: 1:   3 More and Less Than with Unlike Signs
  145.    wt: 1:   10 Real Number Lengths and Signs
  146.    wt: 1:   8 Coordinates for Maps and Planes
  147.    wt: 1:   1 Whole and Natural Numbers
  148.    wt: 1:   3 Geometric Formulas and Function Notation
  149.    wt: 1:   1 Formulas Dependence and Function Notation
  150.    wt: 1:   3 GE III Equation Addition and Multiplication
  151.    wt: 1:   1 Written work formats for developing and showing skill
  152.    wt: 1:   9 Sets in Probability and Statistics
  153.    wt: 1:   5 Talking about Numbers and Quantities
  154.    wt: 1:   4 A Brief Story of numbers and algebra
  155.    wt: 1:   2 More and Less Than with Unlike Signs
  156.    wt: 1:   1 Squares and Square Roots Introduction
  157.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  158.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  159.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  160.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  161.    wt: 1:   7 GCD and LCM from prime factorization
  162.    wt: 1:   4 LCM of 8 and 10 via Prime
  163.    wt: 1:   3 Counting with Tables and Trees II
  164.    wt: 1:   2 Counting with Tables and Trees I
  165.    wt: 1:   1 Counting and Counting Methods I
  166.    wt: 1:   11 What are real lengths and numbers
  167.    wt: 1:   7 negative and additive inverse
  168.    wt: 1:   5 lengths and signs of numbers
  169.    wt: 1:   3 signed coordinates for maps and planes
  170.    wt: 1:   2 signed and unsigned numbers as coordinates
  171.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  172.    wt: 1:   3 Multiplying Units and Numbers
  173.    wt: 1:   2 Equality and Units
  174.    wt: 1:   1 Addition and Subtraction with Units
  175.    wt: 1:   B Fractions and Two Term Ratios
  176.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  177.    wt: 1:   21 Reciprocals for Fractions and Wholes
  178.    wt: 1:   17 Efficient Ways to Add and Subtract
  179.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  180.    wt: 1:   14 Adding and Subtracting with Like Denominators
  181.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  182.    wt: 1:   9 Improper Fractions and Mixed Numbers
  183.    wt: 1:   11 Adding Integers Formulas and Examples
  184.    wt: 1:   5 Zero Movement and Additive Inverses
  185.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  186.    wt: 1:   17 Identify and Count Factors using Primes
  187.    wt: 1:   12 LCD GCD and LCM using Primes
  188.    wt: 1:   7 Calculator Usage Notes and Cautions
  189.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  190.    wt: 1:   5 Prime Factorization and a Square Rule
  191.    wt: 1:   3 video Primes and Composites from 9 times table
  192.    wt: 1:   2 Prime and Composites less than 16
  193.    wt: 1:   Division with Counts and Length
  194.    wt: 1:   Long Division forwards and backwards Example 3
  195.    wt: 1:   Long Division forwards and backwards Example 2
  196.    wt: 1:   Long Division forwards and backwards Example 1
  197.    wt: 1:   10 Division by Five Long and Short Ways
  198.    wt: 1:   4 Two and Three Digit Multipliers
  199.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  200.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  201.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  202.    wt: 1:   8 What skills and work habits to require
  203.    wt: 1:   11 Place Value SI Standard International way
  204.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  205.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  206.    wt: 1:   Quick history of numbers and algebra
  207.    wt: 1:   Exact Arithmetic Wholes and Fractions
  208.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  209.    wt: 1:   015 School and work day counting tables
  210.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  211.    wt: 1:   4 Mixing and Changing Units of Time
  212.    wt: 1:   3 Units and Lengths of Time
  213.    wt: 1:   2 Time and Date Matters in School
  214.    wt: 1:   Example 1. Area Between x and x squared
  215.    wt: 1:   A Related lessons in Volume 3
  216.    wt: 1:   17 Derivatives of quotients of sine and cosine
  217.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  218.    wt: 1:   15 sine and cosine derivatives 3rd step
  219.    wt: 1:   14 sine and cosine derivatives 2nd step
  220.    wt: 1:   13 sine and cosine derivatives 1st step
  221.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  222.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  223.    wt: 1:   9 Limits Continuity and Composition
  224.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  225.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  226.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  227.    wt: 1:   PostScript For and Against Decimal Perspectives
  228.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  229.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  230.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  231.    wt: 1:   Chapter 12. Units and Slopes
  232.    wt: 1:   Chapter 10 Slopes and Units
  233.    wt: 1:   Chapter 9 About First Courses in Calculus
  234.    wt: 1:   Chapter 7 Slopes and Velocity
  235.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  236.    wt: 1:   Chapter 2. Slopes and Ski Trails
  237.    wt: 1:   Fall 1983 Calculus Appetizer
  238.    wt: 1:   Appendix E. How To Study Mathematics and Why
  239.    wt: 1:   Appendix D. What to do in School and Why
  240.    wt: 1:   Chapter 31 Direct and Indirect Reason
  241.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  242.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  243.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  244.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  245.    wt: 1:   Chapter 20. Degrees and Radians
  246.    wt: 1:   Chapter 19. Functions and Sets
  247.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  248.    wt: 1:   Chapter 12. Shorthand Usage Guide
  249.    wt: 1:   Chapter 11. Why Shorthand
  250.    wt: 1:   Chapter 10 Describing and Changing Calculations
  251.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  252.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  253.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  254.    wt: 1:   Chapter 2 For and Against Mathematics
  255.    wt: 1:   Postscript B More on Story Telling and Reason
  256.    wt: 1:   Chapter 24 Direct and Indirect Reason
  257.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  258.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  259.    wt: 1:   Chapter 18 Sense and Knowledge
  260.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  261.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  262.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  263.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  264.    wt: 1:   O On Learning Mathematics and Science
  265.    wt: 1:   N Improving Marks on Tests and Finals
  266.    wt: 1:   J. More on written work and showing skill
  267.    wt: 1:   I. Logic and language skills
  268.    wt: 1:   H Jigsaw puzzles and problem solving
  269.    wt: 1:   G. Written work formats for developing and showing skill
  270.    wt: 1:   B. Domino effect of errors
  271.    wt: 1:   How to Build Skills and Confidence
  272.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  273.    wt: 1:   Chapter 8 Skipped Topics and Why
  274.    wt: 1:   Chapter 6 More Algebra and Geometry
  275.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  276.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  277.    wt: 1:   7 Games and Activities for Instruction
  278.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  279.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  280.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  281.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  282.    wt: 1:   Helping the Blind in Logic and Mathematics
  283.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  284.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  285.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  286.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  287.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  288.    wt: 1:   The Math Forum and Site Content

Extended Search

736 matches:

  1.    wt: 7:   Example 1. Area Between x and x squared
  2.    wt: 7:   38 Formulas and derivatives for powers and roots
  3.    wt: 7:   13 Limits with Parameters and Derivatives Take II
  4.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  5.    wt: 7:   9 Limits Continuity and Composition
  6.    wt: 6:   Example 2 volume of a cone
  7.    wt: 6:   Example 1 volume of a pyramid
  8.    wt: 6:   Volume of Solid by Cross Sections Lesson
  9.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  10.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  11.    wt: 6:   Example 4 with x function of y
  12.    wt: 6:   Example 3
  13.    wt: 6:   Example 2
  14.    wt: 6:   Example 1
  15.    wt: 6:   Area Between Curves Lesson Take 2
  16.    wt: 6:   Area Between Curves Lesson Take 1
  17.    wt: 6:   Summary
  18.    wt: 6:   A Related lessons in Volume 3
  19.    wt: 6:   17 Derivatives of quotients of sine and cosine
  20.    wt: 6:   16 Derivatives of reciprocals of sine and cosine
  21.    wt: 6:   15 sine and cosine derivatives 3rd step
  22.    wt: 6:   14 sine and cosine derivatives 2nd step
  23.    wt: 6:   13 sine and cosine derivatives 1st step
  24.    wt: 6:   11 Limits at infinity Three Examples
  25.    wt: 6:   10 Three one sided limits with infinite values
  26.    wt: 6:   8 Four Animated Examples
  27.    wt: 6:   7 Evaluation by immediate or delayed substitution
  28.    wt: 6:   6 Continuity at a point
  29.    wt: 6:   4 Numerical properties
  30.    wt: 6:   3 Decimal insights for limits continuity convergence
  31.    wt: 6:   2 Algebraic codification
  32.    wt: 6:   1 Numerical introduction
  33.    wt: 5:   2 More and Less Than for Counts and Measures
  34.    wt: 5:   A Related Material in Volume 3
  35.    wt: 5:   5 Area Under Curve Exercise
  36.    wt: 5:   4 Definite Integrals Evaluation Exercises
  37.    wt: 5:   3 Two Chain Rule Method Exercises
  38.    wt: 5:   2 Indefinite Integrals Exercises
  39.    wt: 5:   1 Chain Rule in Reverse Integration Method
  40.    wt: 5:   4 Second derivative test exercise example
  41.    wt: 5:   3 Second derivative test
  42.    wt: 5:   2 Second derivative test prequel
  43.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  44.    wt: 5:   A Chain Rule Real Player video examples
  45.    wt: 5:   36 Cube root derivative animated
  46.    wt: 5:   34 Derivative of exponential function
  47.    wt: 5:   33 Chain Rule Real Player video examples
  48.    wt: 5:   31 Derivatives of inverse functions
  49.    wt: 5:   30Chain Rule A Proof
  50.    wt: 5:   29 Chain Rule Optional Reading
  51.    wt: 5:   28 Chain Rule Preparation for a Proof
  52.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  53.    wt: 5:   26 Chain Rule Recognising outer inner functions
  54.    wt: 5:   25 Chain Rule Animated Examples Continued
  55.    wt: 5:   24 Chain Rule Animated Examples
  56.    wt: 5:   23 Chain Rule in general
  57.    wt: 5:   22 Chain Rule for polynomials
  58.    wt: 5:   21 Chain Rule for powers
  59.    wt: 5:   20 Chain Rule for Pulley Systems
  60.    wt: 5:   19 Chain Rule for linear functions
  61.    wt: 5:   18 Chain Rule Introduction
  62.    wt: 5:   12 Quotient rule examples
  63.    wt: 5:   11 Quotient rule
  64.    wt: 5:   10 Power rule for negative integers
  65.    wt: 5:   9 Reciprocal rule
  66.    wt: 5:   8 Differentiation of polynomials
  67.    wt: 5:   7 Animated Differentiation Examples
  68.    wt: 5:   6 Power rule from product rule
  69.    wt: 5:   5 Product Rule
  70.    wt: 5:   4 Sum Rule
  71.    wt: 5:   3 Motivation for Limit Definition Take 2
  72.    wt: 5:   2 Motivation for Limit Definition Take 1
  73.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  74.    wt: 4:   B Decimal Comparison and Subtraction
  75.    wt: 4:   2 Combing Counts Addition Skills and Principles
  76.    wt: 4:   4 Rates Ratios and Proporitionality
  77.    wt: 4:   6 Equations and Systems Equivalent or Implied
  78.    wt: 4:   4 Subtraction and Division Axioms
  79.    wt: 4:   2 Addition and Multiplication Axioms
  80.    wt: 4:   3 More and Less Than with Unlike Signs
  81.    wt: 4:   3 Geometric Formulas and Function Notation
  82.    wt: 4:   1 Formulas Dependence and Function Notation
  83.    wt: 4:   1 More and Less Than for Counts and Measures
  84.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  85.    wt: 4:   6. Counting and adding units and mixed units
  86.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  87.    wt: 3:   A Modular and Remainder Arithmetic
  88.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  89.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  90.    wt: 3:   13 Arrows and Vectors in a Plane
  91.    wt: 3:   11 Signed Number Addition and Addition Properties
  92.    wt: 3:   8 Division and Mulplication of Compound Fractions
  93.    wt: 3:   E Long Division Methods more
  94.    wt: 3:   D Long Division Methods
  95.    wt: 3:   C Three Decimal Subtraction Methods
  96.    wt: 3:   A Decimal Addition Columm Methods
  97.    wt: 3:   8 Column Multiplication Methods in General
  98.    wt: 3:   7 Decimals Multiplication Methods Examples
  99.    wt: 3:   6 Column Methods for Decimal Multiplication
  100.    wt: 3:   5 Distributive Law for Whole Numbers
  101.    wt: 3:   4 Commutative Law Groups Counting Form
  102.    wt: 3:   3 Multiplicative Counting Skills Principles
  103.    wt: 3:   1 The Counting Origins of Numbers
  104.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  105.    wt: 3:   5 Proportionality in Equivalent Fractions
  106.    wt: 3:   3 Proportionality Examples
  107.    wt: 3:   2 Algebraic View
  108.    wt: 3:   1 What is Proportionality
  109.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  110.    wt: 3:   6 Compound Interest Forward and Backwards
  111.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  112.    wt: 3:   5 Equality in Algebra
  113.    wt: 3:   3 Product Axioms Two Forms
  114.    wt: 3:   1 Equivalent Computation Rules
  115.    wt: 3:   5 Greater More Less Than Signs in General
  116.    wt: 3:   4 Comparison of Negative Numbers
  117.    wt: 3:   1 Real Numbers Comparison
  118.    wt: 3:   10 Real Number Lengths and Signs
  119.    wt: 3:   8 Coordinates for Maps and Planes
  120.    wt: 3:   1 Whole and Natural Numbers
  121.    wt: 3:   5 Independent versus Dependent Variables
  122.    wt: 3:   4 Changing Letters
  123.    wt: 3:   2 Computation Rules Evaluation
  124.    wt: 3:   3 GE III Equation Addition and Multiplication
  125.    wt: 3:   Skill Development Notes
  126.    wt: 3:   10 One Example
  127.    wt: 3:   9 Three Examples
  128.    wt: 3:   8 One Example
  129.    wt: 3:   7 Two Examples
  130.    wt: 3:   6 Three Examples
  131.    wt: 3:   5 Three Examples
  132.    wt: 3:   4 Two Examples
  133.    wt: 3:   3 Two Examples
  134.    wt: 3:   2 Three Examples
  135.    wt: 3:   1 Written work formats for developing and showing skill
  136.    wt: 3:   9 Sets in Probability and Statistics
  137.    wt: 3:   5 Talking about Numbers and Quantities
  138.    wt: 3:   4 A Brief Story of numbers and algebra
  139.    wt: 3:   2 More and Less Than with Unlike Signs
  140.    wt: 3:   1 Squares and Square Roots Introduction
  141.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  142.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  143.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  144.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  145.    wt: 3:   7 GCD and LCM from prime factorization
  146.    wt: 3:   4 LCM of 8 and 10 via Prime
  147.    wt: 3:   3 Counting with Tables and Trees II
  148.    wt: 3:   2 Counting with Tables and Trees I
  149.    wt: 3:   1 Counting and Counting Methods I
  150.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  151.    wt: 3:   3 Multiplying Units and Numbers
  152.    wt: 3:   2 Equality and Units
  153.    wt: 3:   1 Addition and Subtraction with Units
  154.    wt: 3:   B Fractions and Two Term Ratios
  155.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  156.    wt: 3:   21 Reciprocals for Fractions and Wholes
  157.    wt: 3:   17 Efficient Ways to Add and Subtract
  158.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  159.    wt: 3:   14 Adding and Subtracting with Like Denominators
  160.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  161.    wt: 3:   9 Improper Fractions and Mixed Numbers
  162.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  163.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  164.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  165.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  166.    wt: 3:   8 What skills and work habits to require
  167.    wt: 3:   E1 Error Control Inequalities
  168.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  169.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  170.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  171.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  172.    wt: 3:   E. When and how to correct errors
  173.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  174.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  175.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  176.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  177.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  178.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  179.    wt: 2:   9 Summary Degrees to Radians and back
  180.    wt: 2:   1 Degrees and Radians Introduction
  181.    wt: 2:   Parallel Lines and Parallel Transversals
  182.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  183.    wt: 2:   Parallel Lines and Interior Angles
  184.    wt: 2:   14 cosine even and sine and tangent are odd
  185.    wt: 2:   12 Links Lessons elsewhere
  186.    wt: 2:   10 Midpoint of [a b] and [b a]
  187.    wt: 2:   7 Exercises to test skill and concept mastery
  188.    wt: 2:   1 Numerical view of lines and their equations
  189.    wt: 2:   What is and is not here
  190.    wt: 2:   6 Polar Multiplication and Rotation
  191.    wt: 2:   5 Cartesian Addition and Translation
  192.    wt: 2:   4 Polar Coordinates to and from
  193.    wt: 2:   3 Lengths and Areas on Maps and Plans
  194.    wt: 2:   musings do not puiblish real numbers
  195.    wt: 2:   A Signed Number Arithmetic Review
  196.    wt: 2:   26 More Less Greater Than Comparison
  197.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  198.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  199.    wt: 2:   23 Distributive Law Two Derivations
  200.    wt: 2:   22 Multiplication of Signed Numbers
  201.    wt: 2:   21 Addition of Multiples of a Single Vector
  202.    wt: 2:   19 Signed Multiples of Vectors
  203.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  204.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  205.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  206.    wt: 2:   15 Head to Tails in place Addition Associative
  207.    wt: 2:   12 Real Numbers Line Signed Coordinates
  208.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  209.    wt: 2:   9 Division with Digits after Decimal Point
  210.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  211.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  212.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  213.    wt: 2:   4 Location of Point in Decimal Addition
  214.    wt: 2:   3 Location of Point in Decimal Multiplication
  215.    wt: 2:   2 Counting Digits in Decimal Multiplication
  216.    wt: 2:   1 Fractions with Finite Decimal Expansions
  217.    wt: 2:   5 Areas of Rectangles Revisited
  218.    wt: 2:   4 Fraction Operations Axiomatic Development
  219.    wt: 2:   3 Inequalities Algebraically
  220.    wt: 2:   2 Fraction Operations Physical Development
  221.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  222.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  223.    wt: 2:   5 Triangle Area Formula Backwards
  224.    wt: 2:   3 Linear Equation Literal Solution More
  225.    wt: 2:   2 Linear Equation Literal Solution
  226.    wt: 2:   1 Changing Calculations
  227.    wt: 2:   16 Real Numbers Comparison
  228.    wt: 2:   15 Real Number Division
  229.    wt: 2:   14 Real Number Multiplication
  230.    wt: 2:   13 Real Number Subtraction
  231.    wt: 2:   12 Real Number Additive Inverses or Negatives
  232.    wt: 2:   11 Real Number Addition
  233.    wt: 2:   9 Coordinates for Regions in Space
  234.    wt: 2:   7 Real Numbers as Line Cordinates
  235.    wt: 2:   6 Unsigned Real Numbers
  236.    wt: 2:   5 Rational Numbers More
  237.    wt: 2:   4 Rational Numbers
  238.    wt: 2:   3 Fractions
  239.    wt: 2:   2 Integers
  240.    wt: 2:   More Exercises
  241.    wt: 2:   Simple Exercises
  242.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  243.    wt: 2:   4 GE III Animated Examples
  244.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  245.    wt: 2:   2 GE II Comparison
  246.    wt: 2:   1 GE Substitution four examples
  247.    wt: 2:   4 Solving a triangular system exercise
  248.    wt: 2:   3 Solving triangular system example
  249.    wt: 2:   2 Essentially one exercises three with solution
  250.    wt: 2:   1 Essentially One Unknown
  251.    wt: 2:   6 Algebraic Solution Example
  252.    wt: 2:   5 Algebraic Solutions Introduction
  253.    wt: 2:   4 Four Examples Fractional Coefficients
  254.    wt: 2:   3 Four Examples
  255.    wt: 2:   2 Three Examples
  256.    wt: 2:   1 Proper Equal Sign Usage
  257.    wt: 2:   Using Letters for Physical Quantities
  258.    wt: 2:   Formula Usage Show Work Format
  259.    wt: 2:   13 Naming Identifying Formulas with Words
  260.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  261.    wt: 2:   11 Volume of Sphere
  262.    wt: 2:   10 Volume of Pyramid
  263.    wt: 2:   9 Volume of Cone
  264.    wt: 2:   8 Compound Interest Formula Evaluation
  265.    wt: 2:   7 Compound Interest Formula Introduction
  266.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  267.    wt: 2:   5 Box Volume Formula Example
  268.    wt: 2:   4 Circle Area Formula Example
  269.    wt: 2:   3 Triangle Area Formula Example
  270.    wt: 2:   2 Another Rectangle Area Formula Example
  271.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  272.    wt: 2:   8 Sets of Numbers
  273.    wt: 2:   7 Cautious or Safe Set Construction
  274.    wt: 2:   6 Power Set Notation
  275.    wt: 2:   5 Product Builder Notation
  276.    wt: 2:   4 Subset Builder Notation
  277.    wt: 2:   3 Counting with Sets etc
  278.    wt: 2:   2 Venn Diagrams
  279.    wt: 2:   1 Finite Sets
  280.    wt: 2:   6 Three Notions of What is a Variable
  281.    wt: 2:   3 Adding Words To Arithmetic
  282.    wt: 2:   2 What is a Variable
  283.    wt: 2:   1 Three Skills For Algebra
  284.    wt: 2:   About Folder Contents
  285.    wt: 2:   4 Greater More Less Than Signs in General
  286.    wt: 2:   3 Comparison of Negative Numbers
  287.    wt: 2:   5 Square Roots with primes more still
  288.    wt: 2:   4 Square Roots with primes more
  289.    wt: 2:   3 Properties of Square Roots with example
  290.    wt: 2:   2 Square Roots with Prime
  291.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  292.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  293.    wt: 2:   13 GCD from given Prime Factorization
  294.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  295.    wt: 2:   8 GCD from Euclidean Algorithm
  296.    wt: 2:   6 GCD from Prime
  297.    wt: 2:   5 Common Divisors 60 45 via Prime
  298.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  299.    wt: 2:   2 Least Common Multiple LCM intro via list method
  300.    wt: 2:   1 Least Common Multiples LCM Introduction
  301.    wt: 2:   12 GCD 2700 288 via Prime
  302.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  303.    wt: 2:   4 Counting with Trees Product Rule Take I
  304.    wt: 2:   11 What are real lengths and numbers
  305.    wt: 2:   7 negative and additive inverse
  306.    wt: 2:   5 lengths and signs of numbers
  307.    wt: 2:   3 signed coordinates for maps and planes
  308.    wt: 2:   2 signed and unsigned numbers as coordinates
  309.    wt: 2:   7 Converting or Changing Units
  310.    wt: 2:   6 Simplification of Fractions with Units
  311.    wt: 2:   4 Fractions with Units
  312.    wt: 2:   D Three Term Ratios
  313.    wt: 2:   22 Complex Compound Fractions
  314.    wt: 2:   21 Working With Signs
  315.    wt: 2:   20 Dividing Fractions the Why
  316.    wt: 2:   19 Dividing Fractions How TO
  317.    wt: 2:   18 Efficient Ways to Multiply
  318.    wt: 2:   16 Addition Subtraction Comparision Compared
  319.    wt: 2:   13 Fraction Comparison Algebraic View
  320.    wt: 2:   12 Fraction Comparison
  321.    wt: 2:   11 Simplification an Algebraic View
  322.    wt: 2:   8 Numerals Fractionals Quantals Take II
  323.    wt: 2:   7 Numerals Fractionals Quantals
  324.    wt: 2:   6 Multiplication of Mixed Numbers
  325.    wt: 2:   6 Multiplication Algebraically Take II
  326.    wt: 2:   5 Equivalent Fractions
  327.    wt: 2:   4 Fraction Multiplication
  328.    wt: 2:   3 Unit fraction of a fraction
  329.    wt: 2:   2 Unit Fraction Multiplication
  330.    wt: 2:   1 What is a fraction Take II
  331.    wt: 2:   1 What is a fraction
  332.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  333.    wt: 2:   11 Adding Integers Formulas and Examples
  334.    wt: 2:   5 Zero Movement and Additive Inverses
  335.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  336.    wt: 2:   26 Divisibility by 2 3 5 Example
  337.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  338.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  339.    wt: 2:   23 Remainder Arithmetic Modulo 2
  340.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  341.    wt: 2:   21 Remainder Arithmetic Modulo 3
  342.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  343.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  344.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  345.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  346.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  347.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  348.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  349.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  350.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  351.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  352.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  353.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  354.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  355.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  356.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  357.    wt: 2:   5 Remainder Arithmetic Modulo 5
  358.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  359.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  360.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  361.    wt: 2:   1 Remainder Arithmetic Modulo 10
  362.    wt: 2:   17 Identify and Count Factors using Primes
  363.    wt: 2:   12 LCD GCD and LCM using Primes
  364.    wt: 2:   7 Calculator Usage Notes and Cautions
  365.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  366.    wt: 2:   5 Prime Factorization and a Square Rule
  367.    wt: 2:   3 video Primes and Composites from 9 times table
  368.    wt: 2:   2 Prime and Composites less than 16
  369.    wt: 2:   Division with Counts and Length
  370.    wt: 2:   Long Division forwards and backwards Example 3
  371.    wt: 2:   Long Division forwards and backwards Example 2
  372.    wt: 2:   Long Division forwards and backwards Example 1
  373.    wt: 2:   10 Division by Five Long and Short Ways
  374.    wt: 2:   4 Two and Three Digit Multipliers
  375.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  376.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  377.    wt: 2:   Subtraction with J Conversions Example
  378.    wt: 2:   Subtraction Another Video Lesson
  379.    wt: 2:   9 22 Minute Subtraction Review Video
  380.    wt: 2:   8 Subtraction with Units of Measure
  381.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  382.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  383.    wt: 2:   5 A Tip for Efficent Subtraction
  384.    wt: 2:   2 Subtraction Easy Case Examples
  385.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  386.    wt: 2:   7 Adding decimal fractions using decimal point
  387.    wt: 2:   5. How to add decimals C. Examples
  388.    wt: 2:   4. How to add with decimals B with conversions
  389.    wt: 2:   3. How to add with decimals A sans conversions
  390.    wt: 2:   2 Decimal Counting Practices
  391.    wt: 2:   1. Explaining Addition Table
  392.    wt: 2:   11 Place Value SI Standard International way
  393.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  394.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  395.    wt: 2:   Quick history of numbers and algebra
  396.    wt: 2:   Exact Arithmetic Wholes and Fractions
  397.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  398.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  399.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  400.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  401.    wt: 2:   PostScript For and Against Decimal Perspectives
  402.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  403.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  404.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  405.    wt: 2:   Chapter 12. Units and Slopes
  406.    wt: 2:   Chapter 10 Slopes and Units
  407.    wt: 2:   Chapter 9 About First Courses in Calculus
  408.    wt: 2:   Chapter 7 Slopes and Velocity
  409.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  410.    wt: 2:   Chapter 2. Slopes and Ski Trails
  411.    wt: 2:   Fall 1983 Calculus Appetizer
  412.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  413.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  414.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  415.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  416.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  417.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  418.    wt: 2:   O On Learning Mathematics and Science
  419.    wt: 2:   N Improving Marks on Tests and Finals
  420.    wt: 2:   J. More on written work and showing skill
  421.    wt: 2:   I. Logic and language skills
  422.    wt: 2:   H Jigsaw puzzles and problem solving
  423.    wt: 2:   G. Written work formats for developing and showing skill
  424.    wt: 2:   B. Domino effect of errors
  425.    wt: 2:   How to Build Skills and Confidence
  426.    wt: 2:   Chapter 3 Algebra Starter Lessons
  427.    wt: 2:   7 Games and Activities for Instruction
  428.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  429.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  430.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  431.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  432.    wt: 2:   More Algebra and Slope based Calculus Preview
  433.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  434.    wt: 1:   Appendix 1 primary and preschool mathematic
  435.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  436.    wt: 1:   Skills Chapter 5 Calculus
  437.    wt: 1:   7 logic review and decimals an odd combination
  438.    wt: 1:   5 logarithms and exponentials etc
  439.    wt: 1:   key notes and themes
  440.    wt: 1:   what should be learnt and When
  441.    wt: 1:   standards for course material
  442.    wt: 1:   Education in mathematics science and technology
  443.    wt: 1:   Motivation and Context Problem
  444.    wt: 1:   fairness and inductive principles for instruction
  445.    wt: 1:   Home Tutoring and Home Schooling
  446.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  447.    wt: 1:   24 Standards For Skill Develoment Take II
  448.    wt: 1:   24 Standards For Skill Develoment
  449.    wt: 1:   17 Math Booklets for children and young teenagers
  450.    wt: 1:   14 Multiplication and Times Tables
  451.    wt: 1:   13 Addition and Addition Tables
  452.    wt: 1:   12 Goals and Objectives For Mathematics
  453.    wt: 1:   11 Help and Defend Your Child or Teens Education
  454.    wt: 1:   5 Patience Please for Yourself and Your Charges
  455.    wt: 1:   4 Learning Takes Time and Effort
  456.    wt: 1:   2 Reading and Writing Skills
  457.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  458.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  459.    wt: 1:   26 Function definitions done and coming
  460.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  461.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  462.    wt: 1:   19 Horizontal line rule and method
  463.    wt: 1:   18 Vertical Line Rule and Method
  464.    wt: 1:   17 Function maxima minima and their location
  465.    wt: 1:   11 Function Domain Range Source and Targets
  466.    wt: 1:   8 Set view of relations and functions
  467.    wt: 1:   6 Set Existence Formation and Notation
  468.    wt: 1:   4 Function notation in and beyond mathematics
  469.    wt: 1:   9 quadratics physical and further context
  470.    wt: 1:   11 Growth and Decay in Biology
  471.    wt: 1:   10 Exponential Growth and Decay Models
  472.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  473.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  474.    wt: 1:   1 Calculator Starter Exercises
  475.    wt: 1:   7 Links Lessons Elsewhere
  476.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  477.    wt: 1:   16 cotangent function Definition Graph and Inverse
  478.    wt: 1:   15 cosecant function Definition Graph and Inverse
  479.    wt: 1:   14 secant function Definition Graph and Inverse
  480.    wt: 1:   13 cosecant function Definition Graph and Inverse
  481.    wt: 1:   8 Radian Measures of Common Angles
  482.    wt: 1:   7 Radian Measures in special Triangles
  483.    wt: 1:   6 Radian Measure to Degrees
  484.    wt: 1:   5 Degrees to Radian Measure
  485.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  486.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  487.    wt: 1:   2 Radian Measure Numerical Value of one degree
  488.    wt: 1:   A Global Time and Navigation
  489.    wt: 1:   15 Dot and Cross Product
  490.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  491.    wt: 1:   Vector and Complex Number Applet
  492.    wt: 1:   4 graphing y=Asin(x c)
  493.    wt: 1:   3 graphing y=f(x c) plus K
  494.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  495.    wt: 1:   1 graphing y=f(x a)
  496.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  497.    wt: 1:   Triangle Angles Sum To 180 Degrees
  498.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  499.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  500.    wt: 1:   Straight Lines ASA Intersection Study More
  501.    wt: 1:   Straight Lines ASA Intersection Study
  502.    wt: 1:   Straight Lines Instersection Solving Equations
  503.    wt: 1:   Straight Lines Intersection of
  504.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  505.    wt: 1:   C Straight Lines Slope from Coordinates
  506.    wt: 1:   B Straight Line Slope Scaling Properties More
  507.    wt: 1:   A Straight Line Slope Scaling Properties
  508.    wt: 1:   14 Straight Lines Equations General Case
  509.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  510.    wt: 1:   12 Straight Lines Graphing mx plus b
  511.    wt: 1:   11 Straight Lines Graphing y=mx
  512.    wt: 1:   10 Straight Lines through Origin Equations More
  513.    wt: 1:   9 Straight Lines through Origin Equations
  514.    wt: 1:   8 Straight Lines Equation for vertical
  515.    wt: 1:   7 Tangent Function is odd on this domain
  516.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  517.    wt: 1:   5 Tangent Function Graph
  518.    wt: 1:   4 Tangent Function Properties
  519.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  520.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  521.    wt: 1:   1 Straight Lines Slope Concept
  522.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  523.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  524.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  525.    wt: 1:   29 secant cosecant and cotangent for acute angles
  526.    wt: 1:   27 Logarithmic use of products of sines and cosines
  527.    wt: 1:   26 Formulas for products of sines and cosines
  528.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  529.    wt: 1:   21 sine and cosine Half Angle Formulas
  530.    wt: 1:   20 sine and cosine Double Angle Formulas
  531.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  532.    wt: 1:   17E Trig Formulas for dot and cross Products
  533.    wt: 1:   17D cis formulas for sine cosines and tangent
  534.    wt: 1:   17C sine and cosine double triple angle formulas
  535.    wt: 1:   10 Graphs of sines and cosines many periods
  536.    wt: 1:   9 Graphs of sine and cosine over one period
  537.    wt: 1:   7 period of sine and cosine
  538.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  539.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  540.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  541.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  542.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  543.    wt: 1:   21 Logarithms Powers and Exponentials
  544.    wt: 1:   16 References and Originality Question
  545.    wt: 1:   13 Trig Formulas for dot and cross Products
  546.    wt: 1:   12 cis formulas for sine cosines and tangent
  547.    wt: 1:   11 sine and cosine double triple angle formulas
  548.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  549.    wt: 1:   3 Trigonometric Ratios sine and cosine
  550.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  551.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  552.    wt: 1:   8 Similarity of Triangles and Polygons
  553.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  554.    wt: 1:   Four Simple Exercises
  555.    wt: 1:   11 A Partial Summary
  556.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  557.    wt: 1:   8 Mid Point Formula
  558.    wt: 1:   6 Intersection of lines by solving linear systems
  559.    wt: 1:   5 Algebraic View of Slopes
  560.    wt: 1:   4 Equations for lines three forms
  561.    wt: 1:   3 Slope product for perpendicular lines
  562.    wt: 1:   2 point slope equation for a line
  563.    wt: 1:   13 Pythagorean spatial distance formulas
  564.    wt: 1:   12 Spatial Coordinates
  565.    wt: 1:   11 Triangle Inequality
  566.    wt: 1:   10 Pythagorean plane distance formula
  567.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  568.    wt: 1:   8 Distance Between Points on a Line
  569.    wt: 1:   7 Complex Numbers Appetizer
  570.    wt: 1:   3 Rectangular Coordinates Review
  571.    wt: 1:   2 Cartesian Coordinates with signs
  572.    wt: 1:   1 Cartesian Coordinates sans signs
  573.    wt: 1:   16 Angles Subtended By Chords and Diameters
  574.    wt: 1:   6 Ruler and compass Angle Bisection
  575.    wt: 1:   1 Initial Concepts and Terms
  576.    wt: 1:   arithmetic videos Real Player Format
  577.    wt: 1:   10 dividing signed numbers
  578.    wt: 1:   9 subtracting signed numbers
  579.    wt: 1:   8 multiplying signed numbers
  580.    wt: 1:   6 adding signed numbers
  581.    wt: 1:   4 signed coordinates for regions in space
  582.    wt: 1:   D Remainders Modulo 11 Pair Rule
  583.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  584.    wt: 1:   B Integer Long Division Multiple Choices
  585.    wt: 1:   A Associative Law Theorectical Note
  586.    wt: 1:   13 Subtraction with Additive Inverse
  587.    wt: 1:   12 Adding Integers More Examples
  588.    wt: 1:   10 Integer Multiplication Formulas
  589.    wt: 1:   9 Multiplying Integers
  590.    wt: 1:   8 Multiplication by Signed Numbers Integers
  591.    wt: 1:   7 Multiplication by Signs
  592.    wt: 1:   6 Multiplication by Natural Numbers
  593.    wt: 1:   4 Adding Movements wiht opposite directions
  594.    wt: 1:   3 Adding Movements with same direction
  595.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  596.    wt: 1:   1 Integers as Coordinates
  597.    wt: 1:   20 Uniqueness of Prime Factorization
  598.    wt: 1:   19 video Prime Factorization Unique
  599.    wt: 1:   18 video Count Factors given Prime Factorization
  600.    wt: 1:   16 video Factors of 980 using prime
  601.    wt: 1:   15 video Factors of 20 using Prime Factorization
  602.    wt: 1:   14 video Factors of 24 Take II
  603.    wt: 1:   13 video Factors of 24 using prime
  604.    wt: 1:   11 Efficient Square Rule Use
  605.    wt: 1:   10 video Prime Factorization upto 23 squared
  606.    wt: 1:   9 video Prime Factorization upto 19 squared
  607.    wt: 1:   8 video Prime Factorization upto 19
  608.    wt: 1:   4 video Prime Factorization Introduction
  609.    wt: 1:   1 video how Products are bigger than factor
  610.    wt: 1:   Long Division Backwards more
  611.    wt: 1:   Long Division Backward
  612.    wt: 1:   12 Why Long Division Works Take III
  613.    wt: 1:   11 Another Single Digit Divisor Example
  614.    wt: 1:   9 Why Long Division Works Take II
  615.    wt: 1:   8 Correcting the Mistake
  616.    wt: 1:   7 Long Divison Mistake Catching
  617.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  618.    wt: 1:   5 Long Division Include Zeroes or not
  619.    wt: 1:   4 Division with 2 Digit Divsors
  620.    wt: 1:   3 Division Single Digit Divisor Example
  621.    wt: 1:   2 Division with Single Digit Divisors
  622.    wt: 1:   1 Divsion Physical Examples
  623.    wt: 1:   D Decimal Multiplication Methods Derived
  624.    wt: 1:   C Counting Areas with Powers of Ten
  625.    wt: 1:   B Powers of Ten
  626.    wt: 1:   A Elementary Basis for Multiplication Methods
  627.    wt: 1:   6 Multiplication Commutes Order Not Important
  628.    wt: 1:   5 Decimal Fraction Multiplication
  629.    wt: 1:   3 More One Digit Multipliers
  630.    wt: 1:   2 One Digit Multipliers
  631.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  632.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  633.    wt: 1:   Video Power Notation in Decimal Expansion
  634.    wt: 1:   1 Why 3 times 5 gives 15
  635.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  636.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  637.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  638.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  639.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  640.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  641.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  642.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  643.    wt: 1:   Formula Evaluation how to show work
  644.    wt: 1:   Expression Evaluation how to show work
  645.    wt: 1:   The 20 Times Table
  646.    wt: 1:   The 12 Times Table Visually
  647.    wt: 1:   About folder contents
  648.    wt: 1:   015 School and work day counting tables
  649.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  650.    wt: 1:   4 Mixing and Changing Units of Time
  651.    wt: 1:   3 Units and Lengths of Time
  652.    wt: 1:   2 Time and Date Matters in School
  653.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  654.    wt: 1:   G.5 Motions With Bounded Velocities
  655.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  656.    wt: 1:   G.3 Constant Difference Theorem Proof
  657.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  658.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  659.    wt: 1:   F.5b Extreme Value Theorem
  660.    wt: 1:   F.5a Equicontinuity Theorems
  661.    wt: 1:   F.4 Finite Covering Theorem
  662.    wt: 1:   F.3 Intermediate Value Theorem
  663.    wt: 1:   F.2 Closed Range Theorem
  664.    wt: 1:   F.1 What Functions are Continuous
  665.    wt: 1:   E2 Algebraic Properties of Limits
  666.    wt: 1:   D2 Limits of Monotone Sequences
  667.    wt: 1:   C Triangle Inequalities
  668.    wt: 1:   B3 Bolzano Weierstrass Theorem
  669.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  670.    wt: 1:   A1. Introduction
  671.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  672.    wt: 1:   Chapter 23 Links To Trigonometry
  673.    wt: 1:   Chapter 22 Complex Numbers
  674.    wt: 1:   Chapter 21 Arrow Addition
  675.    wt: 1:   Chapter 18. Slopes Areas Integration
  676.    wt: 1:   Chapter 17. Area Approximation
  677.    wt: 1:   Chapter 16. Velocity Approximation
  678.    wt: 1:   Chapter 15. Slope Approximation
  679.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  680.    wt: 1:   Chapter 13. Acceleration
  681.    wt: 1:   Chapter 11. Graphing Slope versus Position
  682.    wt: 1:   Chapter 8. Slope Interpretation
  683.    wt: 1:   Chapter 5. Slope Sign Tests
  684.    wt: 1:   Chapter 4. More Slope Sign Analysis
  685.    wt: 1:   Chapter 3. Slope Sign Analysis
  686.    wt: 1:   Chapter 1.Introduction
  687.    wt: 1:   Foreword
  688.    wt: 1:   Appendix E. How To Study Mathematics and Why
  689.    wt: 1:   Appendix D. What to do in School and Why
  690.    wt: 1:   Chapter 31 Direct and Indirect Reason
  691.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  692.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  693.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  694.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  695.    wt: 1:   Chapter 20. Degrees and Radians
  696.    wt: 1:   Chapter 19. Functions and Sets
  697.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  698.    wt: 1:   Chapter 12. Shorthand Usage Guide
  699.    wt: 1:   Chapter 11. Why Shorthand
  700.    wt: 1:   Chapter 10 Describing and Changing Calculations
  701.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  702.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  703.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  704.    wt: 1:   Chapter 2 For and Against Mathematics
  705.    wt: 1:   Postscript B More on Story Telling and Reason
  706.    wt: 1:   Chapter 24 Direct and Indirect Reason
  707.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  708.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  709.    wt: 1:   Chapter 18 Sense and Knowledge
  710.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  711.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  712.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  713.    wt: 1:   S Adding words to algebra
  714.    wt: 1:   R Why Learn Mathematics Skills
  715.    wt: 1:   N Mathematics Prepare for College Studies
  716.    wt: 1:   M Words to extend arithmetic
  717.    wt: 1:   L Skills with take home value
  718.    wt: 1:   H more Routine to non routine problem solving
  719.    wt: 1:   F. The student teacher tutor feedback loop
  720.    wt: 1:   D. Check work a must with a caution
  721.    wt: 1:   C. Domino effect of being careful
  722.    wt: 1:   A. Skill has to be seen to believed
  723.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  724.    wt: 1:   Chapter 8 Skipped Topics and Why
  725.    wt: 1:   Chapter 6 More Algebra and Geometry
  726.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  727.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  728.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  729.    wt: 1:   Helping the Blind in Logic and Mathematics
  730.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  731.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  732.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  733.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  734.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  735.    wt: 1:   The Math Forum and Site Content
  736.    wt: 11:   5 Jumps and absence of unlimited error control

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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