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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

54 matches:

  1.    wt: 7:   13 Lessons on Limits and Continuity/
  2.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  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:   4 Functions/
  34.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  35.    wt: 1:   12 Function Translating and Rescaling/
  36.    wt: 1:   11 Parallel Straight Lines and Transversals/
  37.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  38.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  39.    wt: 1:   4 Lines and Slopes Take 1/
  40.    wt: 1:   3 Cartesian and Polar Coordinates/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  42.    wt: 1:   5 Integers/
  43.    wt: 1:   3 Prime Factorization Skills/
  44.    wt: 1:   D Decimal Long Division Methods/
  45.    wt: 1:   C Decimal Multiplication Methods/
  46.    wt: 1:   2 Arithmetic with Decimals/
  47.    wt: 1:   1 Decimal Place Value/
  48.    wt: 1:   Arithmetic and Number Theory Skills/
  49.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  50.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  51.    wt: 1:   Work and Study Tips/
  52.    wt: 1:   Resources and Reciprocal Links/
  53.    wt: 1:   Mathematics 506 Lessons/
  54.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

304 matches:

  1.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  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:   25 Absolute Value greatest integer and saw tooth functions
  6.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  7.    wt: 2:   8 Set view of relations and functions
  8.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  10.    wt: 2:   14 cosine even and sine and tangent are odd
  11.    wt: 2:   3 Lengths and Areas on Maps and Plans
  12.    wt: 2:   2 More and Less Than for Counts and Measures
  13.    wt: 2:   1 More and Less Than for Counts and Measures
  14.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  15.    wt: 2:   3 video Primes and Composites from 9 times table
  16.    wt: 2:   2 Prime and Composites less than 16
  17.    wt: 2:   6. Counting and adding units and mixed units
  18.    wt: 2:   38 Formulas and derivatives for powers and roots
  19.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  20.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  21.    wt: 2:   9 Limits Continuity and Composition
  22.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  23.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  24.    wt: 2:   Chapter 19. Functions and Sets
  25.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  26.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  27.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  28.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  29.    wt: 2:   Chapter 3 Algebra Starter Lessons
  30.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  31.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  32.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  33.    wt: 2:   More Algebra and Slope based Calculus Preview
  34.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  35.    wt: 1:   Appendix 1 primary and preschool mathematic
  36.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  37.    wt: 1:   Skills Chapter 5 Calculus
  38.    wt: 1:   7 logic review and decimals an odd combination
  39.    wt: 1:   5 logarithms and exponentials etc
  40.    wt: 1:   key notes and themes
  41.    wt: 1:   what should be learnt and When
  42.    wt: 1:   standards for course material
  43.    wt: 1:   Education in mathematics science and technology
  44.    wt: 1:   Motivation and Context Problem
  45.    wt: 1:   fairness and inductive principles for instruction
  46.    wt: 1:   Home Tutoring and Home Schooling
  47.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  48.    wt: 1:   24 Standards For Skill Develoment Take II
  49.    wt: 1:   24 Standards For Skill Develoment
  50.    wt: 1:   17 Math Booklets for children and young teenagers
  51.    wt: 1:   14 Multiplication and Times Tables
  52.    wt: 1:   13 Addition and Addition Tables
  53.    wt: 1:   12 Goals and Objectives For Mathematics
  54.    wt: 1:   11 Help and Defend Your Child or Teens Education
  55.    wt: 1:   5 Patience Please for Yourself and Your Charges
  56.    wt: 1:   4 Learning Takes Time and Effort
  57.    wt: 1:   2 Reading and Writing Skills
  58.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  59.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  60.    wt: 1:   26 Function definitions done and coming
  61.    wt: 1:   23 Inverse Functions
  62.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  63.    wt: 1:   19 Horizontal line rule and method
  64.    wt: 1:   18 Vertical Line Rule and Method
  65.    wt: 1:   17 Function maxima minima and their location
  66.    wt: 1:   15 Sign analysis of functions
  67.    wt: 1:   11 Function Domain Range Source and Targets
  68.    wt: 1:   7 Functions with finite domains
  69.    wt: 1:   6 Set Existence Formation and Notation
  70.    wt: 1:   4 Function notation in and beyond mathematics
  71.    wt: 1:   9 quadratics physical and further context
  72.    wt: 1:   11 Growth and Decay in Biology
  73.    wt: 1:   10 Exponential Growth and Decay Models
  74.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  75.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  76.    wt: 1:   1 Calculator Starter Exercises
  77.    wt: 1:   7 Links Lessons Elsewhere
  78.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  79.    wt: 1:   16 cotangent function Definition Graph and Inverse
  80.    wt: 1:   15 cosecant function Definition Graph and Inverse
  81.    wt: 1:   14 secant function Definition Graph and Inverse
  82.    wt: 1:   13 cosecant function Definition Graph and Inverse
  83.    wt: 1:   9 Summary Degrees to Radians and back
  84.    wt: 1:   1 Degrees and Radians Introduction
  85.    wt: 1:   A Global Time and Navigation
  86.    wt: 1:   15 Dot and Cross Product
  87.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  88.    wt: 1:   Vector and Complex Number Applet
  89.    wt: 1:   Parallel Lines and Parallel Transversals
  90.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  91.    wt: 1:   Parallel Lines and Interior Angles
  92.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  93.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  94.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  95.    wt: 1:   30 unit circle calculation of six trigonometric functions
  96.    wt: 1:   29 secant cosecant and cotangent for acute angles
  97.    wt: 1:   27 Logarithmic use of products of sines and cosines
  98.    wt: 1:   26 Formulas for products of sines and cosines
  99.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  100.    wt: 1:   21 sine and cosine Half Angle Formulas
  101.    wt: 1:   20 sine and cosine Double Angle Formulas
  102.    wt: 1:   17E Trig Formulas for dot and cross Products
  103.    wt: 1:   17D cis formulas for sine cosines and tangent
  104.    wt: 1:   17C sine and cosine double triple angle formulas
  105.    wt: 1:   10 Graphs of sines and cosines many periods
  106.    wt: 1:   9 Graphs of sine and cosine over one period
  107.    wt: 1:   7 period of sine and cosine
  108.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  109.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  110.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  111.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  112.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  113.    wt: 1:   21 Logarithms Powers and Exponentials
  114.    wt: 1:   16 References and Originality Question
  115.    wt: 1:   13 Trig Formulas for dot and cross Products
  116.    wt: 1:   12 cis formulas for sine cosines and tangent
  117.    wt: 1:   11 sine and cosine double triple angle formulas
  118.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  119.    wt: 1:   3 Trigonometric Ratios sine and cosine
  120.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  121.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  122.    wt: 1:   8 Similarity of Triangles and Polygons
  123.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  124.    wt: 1:   12 Links Lessons elsewhere
  125.    wt: 1:   10 Midpoint of [a b] and [b a]
  126.    wt: 1:   7 Exercises to test skill and concept mastery
  127.    wt: 1:   1 Numerical view of lines and their equations
  128.    wt: 1:   What is and is not here
  129.    wt: 1:   6 Polar Multiplication and Rotation
  130.    wt: 1:   5 Cartesian Addition and Translation
  131.    wt: 1:   4 Polar Coordinates to and from
  132.    wt: 1:   16 Angles Subtended By Chords and Diameters
  133.    wt: 1:   6 Ruler and compass Angle Bisection
  134.    wt: 1:   1 Initial Concepts and Terms
  135.    wt: 1:   A Modular and Remainder Arithmetic
  136.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  137.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  138.    wt: 1:   13 Arrows and Vectors in a Plane
  139.    wt: 1:   11 Signed Number Addition and Addition Properties
  140.    wt: 1:   8 Division and Mulplication of Compound Fractions
  141.    wt: 1:   B Decimal Comparison and Subtraction
  142.    wt: 1:   2 Combing Counts Addition Skills and Principles
  143.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  144.    wt: 1:   4 Rates Ratios and Proporitionality
  145.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  146.    wt: 1:   6 Compound Interest Forward and Backwards
  147.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  148.    wt: 1:   6 Equations and Systems Equivalent or Implied
  149.    wt: 1:   4 Subtraction and Division Axioms
  150.    wt: 1:   2 Addition and Multiplication Axioms
  151.    wt: 1:   3 More and Less Than with Unlike Signs
  152.    wt: 1:   10 Real Number Lengths and Signs
  153.    wt: 1:   8 Coordinates for Maps and Planes
  154.    wt: 1:   1 Whole and Natural Numbers
  155.    wt: 1:   3 Geometric Formulas and Function Notation
  156.    wt: 1:   1 Formulas Dependence and Function Notation
  157.    wt: 1:   3 GE III Equation Addition and Multiplication
  158.    wt: 1:   1 Written work formats for developing and showing skill
  159.    wt: 1:   9 Sets in Probability and Statistics
  160.    wt: 1:   5 Talking about Numbers and Quantities
  161.    wt: 1:   4 A Brief Story of numbers and algebra
  162.    wt: 1:   2 More and Less Than with Unlike Signs
  163.    wt: 1:   1 Squares and Square Roots Introduction
  164.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  165.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  166.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  167.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  168.    wt: 1:   7 GCD and LCM from prime factorization
  169.    wt: 1:   4 LCM of 8 and 10 via Prime
  170.    wt: 1:   3 Counting with Tables and Trees II
  171.    wt: 1:   2 Counting with Tables and Trees I
  172.    wt: 1:   1 Counting and Counting Methods I
  173.    wt: 1:   11 What are real lengths and numbers
  174.    wt: 1:   7 negative and additive inverse
  175.    wt: 1:   5 lengths and signs of numbers
  176.    wt: 1:   3 signed coordinates for maps and planes
  177.    wt: 1:   2 signed and unsigned numbers as coordinates
  178.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  179.    wt: 1:   3 Multiplying Units and Numbers
  180.    wt: 1:   2 Equality and Units
  181.    wt: 1:   1 Addition and Subtraction with Units
  182.    wt: 1:   B Fractions and Two Term Ratios
  183.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  184.    wt: 1:   21 Reciprocals for Fractions and Wholes
  185.    wt: 1:   17 Efficient Ways to Add and Subtract
  186.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  187.    wt: 1:   14 Adding and Subtracting with Like Denominators
  188.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  189.    wt: 1:   9 Improper Fractions and Mixed Numbers
  190.    wt: 1:   11 Adding Integers Formulas and Examples
  191.    wt: 1:   5 Zero Movement and Additive Inverses
  192.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  193.    wt: 1:   17 Identify and Count Factors using Primes
  194.    wt: 1:   12 LCD GCD and LCM using Primes
  195.    wt: 1:   7 Calculator Usage Notes and Cautions
  196.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  197.    wt: 1:   5 Prime Factorization and a Square Rule
  198.    wt: 1:   Division with Counts and Length
  199.    wt: 1:   Long Division forwards and backwards Example 3
  200.    wt: 1:   Long Division forwards and backwards Example 2
  201.    wt: 1:   Long Division forwards and backwards Example 1
  202.    wt: 1:   10 Division by Five Long and Short Ways
  203.    wt: 1:   4 Two and Three Digit Multipliers
  204.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  205.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  206.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  207.    wt: 1:   8 What skills and work habits to require
  208.    wt: 1:   11 Place Value SI Standard International way
  209.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  210.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  211.    wt: 1:   Quick history of numbers and algebra
  212.    wt: 1:   Exact Arithmetic Wholes and Fractions
  213.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  214.    wt: 1:   015 School and work day counting tables
  215.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  216.    wt: 1:   4 Mixing and Changing Units of Time
  217.    wt: 1:   3 Units and Lengths of Time
  218.    wt: 1:   2 Time and Date Matters in School
  219.    wt: 1:   Example 1. Area Between x and x squared
  220.    wt: 1:   A Related lessons in Volume 3
  221.    wt: 1:   31 Derivatives of inverse functions
  222.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  223.    wt: 1:   26 Chain Rule Recognising outer inner functions
  224.    wt: 1:   19 Chain Rule for linear functions
  225.    wt: 1:   17 Derivatives of quotients of sine and cosine
  226.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  227.    wt: 1:   15 sine and cosine derivatives 3rd step
  228.    wt: 1:   14 sine and cosine derivatives 2nd step
  229.    wt: 1:   13 sine and cosine derivatives 1st step
  230.    wt: 1:   11 Limits at infinity Three Examples
  231.    wt: 1:   10 Three one sided limits with infinite values
  232.    wt: 1:   5 Jumps and absence of unlimited error control
  233.    wt: 1:   3 Decimal insights for limits continuity convergence
  234.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  235.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  236.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  237.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  238.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  239.    wt: 1:   F.1 What Functions are Continuous
  240.    wt: 1:   E2 Algebraic Properties of Limits
  241.    wt: 1:   D2 Limits of Monotone Sequences
  242.    wt: 1:   PostScript For and Against Decimal Perspectives
  243.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  244.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  245.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  246.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  247.    wt: 1:   Chapter 12. Units and Slopes
  248.    wt: 1:   Chapter 10 Slopes and Units
  249.    wt: 1:   Chapter 9 About First Courses in Calculus
  250.    wt: 1:   Chapter 7 Slopes and Velocity
  251.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  252.    wt: 1:   Chapter 2. Slopes and Ski Trails
  253.    wt: 1:   Fall 1983 Calculus Appetizer
  254.    wt: 1:   Appendix E. How To Study Mathematics and Why
  255.    wt: 1:   Appendix D. What to do in School and Why
  256.    wt: 1:   Chapter 31 Direct and Indirect Reason
  257.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  258.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  259.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  260.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  261.    wt: 1:   Chapter 20. Degrees and Radians
  262.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  263.    wt: 1:   Chapter 12. Shorthand Usage Guide
  264.    wt: 1:   Chapter 11. Why Shorthand
  265.    wt: 1:   Chapter 10 Describing and Changing Calculations
  266.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  267.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  268.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  269.    wt: 1:   Chapter 2 For and Against Mathematics
  270.    wt: 1:   Postscript B More on Story Telling and Reason
  271.    wt: 1:   Chapter 24 Direct and Indirect Reason
  272.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  273.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  274.    wt: 1:   Chapter 18 Sense and Knowledge
  275.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  276.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  277.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  278.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  279.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  280.    wt: 1:   O On Learning Mathematics and Science
  281.    wt: 1:   N Improving Marks on Tests and Finals
  282.    wt: 1:   J. More on written work and showing skill
  283.    wt: 1:   I. Logic and language skills
  284.    wt: 1:   H Jigsaw puzzles and problem solving
  285.    wt: 1:   G. Written work formats for developing and showing skill
  286.    wt: 1:   E. When and how to correct errors
  287.    wt: 1:   How to Build Skills and Confidence
  288.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  289.    wt: 1:   Chapter 8 Skipped Topics and Why
  290.    wt: 1:   Chapter 6 More Algebra and Geometry
  291.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  292.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  293.    wt: 1:   7 Games and Activities for Instruction
  294.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  295.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  296.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  297.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  298.    wt: 1:   Helping the Blind in Logic and Mathematics
  299.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  300.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  301.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  302.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  303.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  304.    wt: 1:   The Math Forum and Site Content

Extended Search

754 matches:

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.