Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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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46 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 8:   7 Arithmetic and Fractions with Units/
  4.    wt: 7:   9 Combinatorics Trees Tables and Products/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   10 Examples of Algebraic Reasoning/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   5 Real Numbers/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  39.    wt: 1:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   13 Lessons on Limits and Continuity/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Volume 1 Elements of Reason/
  45.    wt: 1:   Work and Study Tips/
  46.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

474 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   27 Logarithmic use of products of sines and cosines
  3.    wt: 4:   6. Counting and adding units and mixed units
  4.    wt: 3:   26 Formulas for products of sines and cosines
  5.    wt: 3:   8 Division and Mulplication of Compound Fractions
  6.    wt: 3:   4 A Brief Story of numbers and algebra
  7.    wt: 3:   5 lengths and signs of numbers
  8.    wt: 3:   6 Simplification of Fractions with Units
  9.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  10.    wt: 3:   3 Multiplying Units and Numbers
  11.    wt: 3:   B Fractions and Two Term Ratios
  12.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  13.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  14.    wt: 3:   9 Improper Fractions and Mixed Numbers
  15.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  16.    wt: 3:   Quick history of numbers and algebra
  17.    wt: 3:   4 Mixing and Changing Units of Time
  18.    wt: 3:   3 Units and Lengths of Time
  19.    wt: 3:   17 Derivatives of quotients of sine and cosine
  20.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  21.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  22.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  23.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  24.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  25.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  26.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  27.    wt: 2:   Ramblings Extrinsic numbers theory
  28.    wt: 2:   Theory of Knowledge
  29.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  30.    wt: 2:   2 Reading and Writing Skills
  31.    wt: 2:   8 Set view of relations and functions
  32.    wt: 2:   4 Resultant of a Sum of Movements
  33.    wt: 2:   Vector and Complex Number Applet
  34.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  35.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  36.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  37.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  38.    wt: 2:   28 Expressing products of sines cosines as sums
  39.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  40.    wt: 2:   17E Trig Formulas for dot and cross Products
  41.    wt: 2:   14 cosine even and sine and tangent are odd
  42.    wt: 2:   10 Graphs of sines and cosines many periods
  43.    wt: 2:   9 Graphs of sine and cosine over one period
  44.    wt: 2:   7 period of sine and cosine
  45.    wt: 2:   20 N th Roots of Complex Numbers
  46.    wt: 2:   13 Trig Formulas for dot and cross Products
  47.    wt: 2:   6 Field Properties of Complex Number
  48.    wt: 2:   5 An Easy Proof of the Distributive Law
  49.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  50.    wt: 2:   3 Trigonometric Ratios sine and cosine
  51.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  52.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  53.    wt: 2:   8 Similarity of Triangles and Polygons
  54.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  55.    wt: 2:   10 Midpoint of [a b] and [b a]
  56.    wt: 2:   1 Numerical view of lines and their equations
  57.    wt: 2:   3 Lengths and Areas on Maps and Plans
  58.    wt: 2:   22 Multiplication of Signed Numbers
  59.    wt: 2:   21 Addition of Multiples of a Single Vector
  60.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  61.    wt: 2:   11 Signed Number Addition and Addition Properties
  62.    wt: 2:   2 Combing Counts Addition Skills and Principles
  63.    wt: 2:   1 The Counting Origins of Numbers
  64.    wt: 2:   4 Rates Ratios and Proporitionality
  65.    wt: 2:   4 Comparison of Negative Numbers
  66.    wt: 2:   2 More and Less Than for Counts and Measures
  67.    wt: 2:   10 Real Number Lengths and Signs
  68.    wt: 2:   1 Whole and Natural Numbers
  69.    wt: 2:   8 Sets of Numbers
  70.    wt: 2:   5 Talking about Numbers and Quantities
  71.    wt: 2:   3 Comparison of Negative Numbers
  72.    wt: 2:   1 More and Less Than for Counts and Measures
  73.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  74.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  75.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  76.    wt: 2:   4 LCM of 8 and 10 via Prime
  77.    wt: 2:   11 What are real lengths and numbers
  78.    wt: 2:   2 signed and unsigned numbers as coordinates
  79.    wt: 2:   4 Fractions with Units
  80.    wt: 2:   2 Equality and Units
  81.    wt: 2:   1 Addition and Subtraction with Units
  82.    wt: 2:   21 Reciprocals for Fractions and Wholes
  83.    wt: 2:   6 Multiplication of Mixed Numbers
  84.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  85.    wt: 2:   8 Subtraction with Units of Measure
  86.    wt: 2:   8 What skills and work habits to require
  87.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  88.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  89.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  90.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  91.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  92.    wt: 2:   Exact Arithmetic Wholes and Fractions
  93.    wt: 2:   011 Division of Time Intervals By Numbers
  94.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  95.    wt: 2:   1 Intro of Kids To Time Date Skills
  96.    wt: 2:   38 Formulas and derivatives for powers and roots
  97.    wt: 2:   5 Jumps and absence of unlimited error control
  98.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  99.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  100.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  101.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  102.    wt: 2:   Chapter 12. Units and Slopes
  103.    wt: 2:   Chapter 10 Slopes and Units
  104.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  105.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  106.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  107.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  108.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  109.    wt: 2:   I. Logic and language skills
  110.    wt: 2:   How to Build Skills and Confidence
  111.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  112.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  113.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  114.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  115.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  116.    wt: 1:   Appendix 1 primary and preschool mathematic
  117.    wt: 1:   G LAMP Introduction Problem Solving Skills
  118.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  119.    wt: 1:   Skills Chapter 5 Calculus
  120.    wt: 1:   Skills Chapter 4 Logic
  121.    wt: 1:   Skills Chapter 3 Algebra
  122.    wt: 1:   Skills Chapter 2 Geometry
  123.    wt: 1:   Skills Chapter 1 Arithmetic
  124.    wt: 1:   Skills Chapter 0 Introduction
  125.    wt: 1:   7 logic review and decimals an odd combination
  126.    wt: 1:   5 logarithms and exponentials etc
  127.    wt: 1:   2 arithmetic with signed numbers
  128.    wt: 1:   1 arithmetic with unsigned numbers
  129.    wt: 1:   key notes and themes
  130.    wt: 1:   Mathematics Education Professors
  131.    wt: 1:   what should be learnt and When
  132.    wt: 1:   standards for course material
  133.    wt: 1:   Education in mathematics science and technology
  134.    wt: 1:   Different Kinds of Reasoning in maths
  135.    wt: 1:   three kinds of reason in mathematics
  136.    wt: 1:   Motivation and Context Problem
  137.    wt: 1:   fairness and inductive principles for instruction
  138.    wt: 1:   E Kirchoffs Second Law
  139.    wt: 1:   D Kirchoff First Law
  140.    wt: 1:   Home Tutoring and Home Schooling
  141.    wt: 1:   24 Standards For Skill Develoment Take II
  142.    wt: 1:   24 Standards For Skill Develoment
  143.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  144.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  145.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  146.    wt: 1:   17 Math Booklets for children and young teenagers
  147.    wt: 1:   14 Multiplication and Times Tables
  148.    wt: 1:   13 Addition and Addition Tables
  149.    wt: 1:   12 Goals and Objectives For Mathematics
  150.    wt: 1:   11 Help and Defend Your Child or Teens Education
  151.    wt: 1:   8 The Effect of Negative Remarks
  152.    wt: 1:   5 Patience Please for Yourself and Your Charges
  153.    wt: 1:   4 Learning Takes Time and Effort
  154.    wt: 1:   1 Speaking Skills
  155.    wt: 1:   Ages 12 to 14 Skills with take home value
  156.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  157.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  158.    wt: 1:   26 Function definitions done and coming
  159.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  160.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  161.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  162.    wt: 1:   19 Horizontal line rule and method
  163.    wt: 1:   18 Vertical Line Rule and Method
  164.    wt: 1:   17 Function maxima minima and their location
  165.    wt: 1:   15 Sign analysis of functions
  166.    wt: 1:   11 Function Domain Range Source and Targets
  167.    wt: 1:   9 Set theory term relation possible origins
  168.    wt: 1:   6 Set Existence Formation and Notation
  169.    wt: 1:   4 Function notation in and beyond mathematics
  170.    wt: 1:   2 Algebraic use of function notation
  171.    wt: 1:   1 Geometric Introduction of Function Notation
  172.    wt: 1:   9 quadratics physical and further context
  173.    wt: 1:   8 quadratics backward use of various formulas
  174.    wt: 1:   4 quadratics difference of two squares
  175.    wt: 1:   11 Growth and Decay in Biology
  176.    wt: 1:   10 Exponential Growth and Decay Models
  177.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  178.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  179.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  180.    wt: 1:   16 cotangent function Definition Graph and Inverse
  181.    wt: 1:   15 cosecant function Definition Graph and Inverse
  182.    wt: 1:   14 secant function Definition Graph and Inverse
  183.    wt: 1:   13 cosecant function Definition Graph and Inverse
  184.    wt: 1:   11 arctan left inverse of tangent Graph
  185.    wt: 1:   10 arctan left inverse of tangent Definition
  186.    wt: 1:   8 arcsin left inverse of sine Graph
  187.    wt: 1:   7 arcsin left inverse of sine Definition
  188.    wt: 1:   6 Graph of arccos function
  189.    wt: 1:   3 Left Inverse of cosine arccos definition
  190.    wt: 1:   9 Summary Degrees to Radians and back
  191.    wt: 1:   8 Radian Measures of Common Angles
  192.    wt: 1:   2 Radian Measure Numerical Value of one degree
  193.    wt: 1:   1 Degrees and Radians Introduction
  194.    wt: 1:   A Global Time and Navigation
  195.    wt: 1:   15 Dot and Cross Product
  196.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  197.    wt: 1:   Parallel Lines and Parallel Transversals
  198.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  199.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  200.    wt: 1:   Parallel Lines and Interior Angles
  201.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  202.    wt: 1:   Straight Lines Intersection of
  203.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  204.    wt: 1:   32 seven rows of pascals triangle
  205.    wt: 1:   30 unit circle calculation of six trigonometric functions
  206.    wt: 1:   29 secant cosecant and cotangent for acute angles
  207.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  208.    wt: 1:   21 sine and cosine Half Angle Formulas
  209.    wt: 1:   20 sine and cosine Double Angle Formulas
  210.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  211.    wt: 1:   18 sum of sinusoidal waves as a single wave
  212.    wt: 1:   17F Law of cosines
  213.    wt: 1:   17D cis formulas for sine cosines and tangent
  214.    wt: 1:   17C sine and cosine double triple angle formulas
  215.    wt: 1:   17A The complex number valued trig function cis
  216.    wt: 1:   13 Graph of tangent function many periods
  217.    wt: 1:   12 Graph of tangent function for one period
  218.    wt: 1:   8 period of tangent function
  219.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  220.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  221.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  222.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  223.    wt: 1:   Unit Circle Development of Trigonometry
  224.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  225.    wt: 1:   21 Logarithms Powers and Exponentials
  226.    wt: 1:   19 N th Roots of Unity
  227.    wt: 1:   18 Sixth Roots of Unity
  228.    wt: 1:   17 Cube Roots of unity
  229.    wt: 1:   16 References and Originality Question
  230.    wt: 1:   14 Law of cosines
  231.    wt: 1:   12 cis formulas for sine cosines and tangent
  232.    wt: 1:   11 sine and cosine double triple angle formulas
  233.    wt: 1:   9 The complex number valued trig function cis
  234.    wt: 1:   8 Unit Circle Development of Trigonometry
  235.    wt: 1:   7 Second Way to Calculate Products
  236.    wt: 1:   2 Complex Numbers made easier we hope
  237.    wt: 1:   Appetizer A Complex Number Applet
  238.    wt: 1:   7 Trignometric Ratios Unit Circle
  239.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  240.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  241.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  242.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  243.    wt: 1:   9 Similarity of Triangles Usual Criteria
  244.    wt: 1:   1 Early Concept of Like or Similar Shapes
  245.    wt: 1:   7 Exercises to test skill and concept mastery
  246.    wt: 1:   6 Intersection of lines by solving linear systems
  247.    wt: 1:   5 Algebraic View of Slopes
  248.    wt: 1:   What is and is not here
  249.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  250.    wt: 1:   7 Complex Numbers Appetizer
  251.    wt: 1:   6 Polar Multiplication and Rotation
  252.    wt: 1:   5 Cartesian Addition and Translation
  253.    wt: 1:   4 Polar Coordinates to and from
  254.    wt: 1:   PS H Distributive Law For Complex Numbers
  255.    wt: 1:   17 Right Bisectors of Triangle Sides
  256.    wt: 1:   16 Angles Subtended By Chords and Diameters
  257.    wt: 1:   9 Construction of a right bisector
  258.    wt: 1:   6 Ruler and compass Angle Bisection
  259.    wt: 1:   3 Isometry of Triangles Congruence
  260.    wt: 1:   1 Initial Concepts and Terms
  261.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  262.    wt: 1:   musings do not puiblish real numbers
  263.    wt: 1:   A Modular and Remainder Arithmetic
  264.    wt: 1:   A Signed Number Arithmetic Review
  265.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  266.    wt: 1:   19 Signed Multiples of Vectors
  267.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  268.    wt: 1:   13 Arrows and Vectors in a Plane
  269.    wt: 1:   12 Real Numbers Line Signed Coordinates
  270.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  271.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  272.    wt: 1:   4 Location of Point in Decimal Addition
  273.    wt: 1:   3 Location of Point in Decimal Multiplication
  274.    wt: 1:   1 Fractions with Finite Decimal Expansions
  275.    wt: 1:   B Decimal Comparison and Subtraction
  276.    wt: 1:   5 Distributive Law for Whole Numbers
  277.    wt: 1:   3 Multiplicative Counting Skills Principles
  278.    wt: 1:   5 Areas of Rectangles Revisited
  279.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  280.    wt: 1:   5 Proportionality in Equivalent Fractions
  281.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  282.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  283.    wt: 1:   6 Compound Interest Forward and Backwards
  284.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  285.    wt: 1:   6 Equations and Systems Equivalent or Implied
  286.    wt: 1:   4 Subtraction and Division Axioms
  287.    wt: 1:   2 Addition and Multiplication Axioms
  288.    wt: 1:   3 More and Less Than with Unlike Signs
  289.    wt: 1:   1 Real Numbers Comparison
  290.    wt: 1:   16 Real Numbers Comparison
  291.    wt: 1:   15 Real Number Division
  292.    wt: 1:   14 Real Number Multiplication
  293.    wt: 1:   13 Real Number Subtraction
  294.    wt: 1:   12 Real Number Additive Inverses or Negatives
  295.    wt: 1:   11 Real Number Addition
  296.    wt: 1:   8 Coordinates for Maps and Planes
  297.    wt: 1:   7 Real Numbers as Line Cordinates
  298.    wt: 1:   6 Unsigned Real Numbers
  299.    wt: 1:   5 Rational Numbers More
  300.    wt: 1:   4 Rational Numbers
  301.    wt: 1:   3 Fractions
  302.    wt: 1:   3 Geometric Formulas and Function Notation
  303.    wt: 1:   1 Formulas Dependence and Function Notation
  304.    wt: 1:   3 GE III Equation Addition and Multiplication
  305.    wt: 1:   11 Volume of Sphere
  306.    wt: 1:   10 Volume of Pyramid
  307.    wt: 1:   9 Volume of Cone
  308.    wt: 1:   1 Written work formats for developing and showing skill
  309.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  310.    wt: 1:   9 Sets in Probability and Statistics
  311.    wt: 1:   6 Three Notions of What is a Variable
  312.    wt: 1:   1 Three Skills For Algebra
  313.    wt: 1:   2 More and Less Than with Unlike Signs
  314.    wt: 1:   3 Properties of Square Roots with example
  315.    wt: 1:   1 Squares and Square Roots Introduction
  316.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  317.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  318.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  319.    wt: 1:   7 GCD and LCM from prime factorization
  320.    wt: 1:   3 Counting with Tables and Trees II
  321.    wt: 1:   2 Counting with Tables and Trees I
  322.    wt: 1:   1 Counting and Counting Methods I
  323.    wt: 1:   10 dividing signed numbers
  324.    wt: 1:   9 subtracting signed numbers
  325.    wt: 1:   8 multiplying signed numbers
  326.    wt: 1:   7 negative and additive inverse
  327.    wt: 1:   6 adding signed numbers
  328.    wt: 1:   3 signed coordinates for maps and planes
  329.    wt: 1:   7 Converting or Changing Units
  330.    wt: 1:   D Three Term Ratios
  331.    wt: 1:   22 Complex Compound Fractions
  332.    wt: 1:   20 Dividing Fractions the Why
  333.    wt: 1:   19 Dividing Fractions How TO
  334.    wt: 1:   17 Efficient Ways to Add and Subtract
  335.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  336.    wt: 1:   14 Adding and Subtracting with Like Denominators
  337.    wt: 1:   5 Equivalent Fractions
  338.    wt: 1:   3 Unit fraction of a fraction
  339.    wt: 1:   11 Adding Integers Formulas and Examples
  340.    wt: 1:   8 Multiplication by Signed Numbers Integers
  341.    wt: 1:   6 Multiplication by Natural Numbers
  342.    wt: 1:   5 Zero Movement and Additive Inverses
  343.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  344.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  345.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  346.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  347.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  348.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  349.    wt: 1:   20 Uniqueness of Prime Factorization
  350.    wt: 1:   17 Identify and Count Factors using Primes
  351.    wt: 1:   16 video Factors of 980 using prime
  352.    wt: 1:   15 video Factors of 20 using Prime Factorization
  353.    wt: 1:   14 video Factors of 24 Take II
  354.    wt: 1:   13 video Factors of 24 using prime
  355.    wt: 1:   12 LCD GCD and LCM using Primes
  356.    wt: 1:   7 Calculator Usage Notes and Cautions
  357.    wt: 1:   5 Prime Factorization and a Square Rule
  358.    wt: 1:   3 video Primes and Composites from 9 times table
  359.    wt: 1:   2 Prime and Composites less than 16
  360.    wt: 1:   1 video how Products are bigger than factor
  361.    wt: 1:   Division with Counts and Length
  362.    wt: 1:   Long Division forwards and backwards Example 3
  363.    wt: 1:   Long Division forwards and backwards Example 2
  364.    wt: 1:   Long Division forwards and backwards Example 1
  365.    wt: 1:   10 Division by Five Long and Short Ways
  366.    wt: 1:   C Counting Areas with Powers of Ten
  367.    wt: 1:   B Powers of Ten
  368.    wt: 1:   4 Two and Three Digit Multipliers
  369.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  370.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  371.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  372.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  373.    wt: 1:   7 Adding decimal fractions using decimal point
  374.    wt: 1:   11 Place Value SI Standard International way
  375.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  376.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  377.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  378.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  379.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  380.    wt: 1:   016 Numbering Occidental Calendar Days
  381.    wt: 1:   015 School and work day counting tables
  382.    wt: 1:   012 Division of Time Intervals by Time Intervals
  383.    wt: 1:   010 Repeated Addition of Time Intervals
  384.    wt: 1:   8 Addition of Time Intervals via subtotaling
  385.    wt: 1:   7 Addition of Time Intervals
  386.    wt: 1:   2 Time and Date Matters in School
  387.    wt: 1:   Example 2 volume of a cone
  388.    wt: 1:   Example 1 volume of a pyramid
  389.    wt: 1:   Volume of Solid by Cross Sections Lesson
  390.    wt: 1:   Example 1. Area Between x and x squared
  391.    wt: 1:   Example 4 with x function of y
  392.    wt: 1:   34 Derivative of exponential function
  393.    wt: 1:   31 Derivatives of inverse functions
  394.    wt: 1:   30Chain Rule A Proof
  395.    wt: 1:   28 Chain Rule Preparation for a Proof
  396.    wt: 1:   15 sine and cosine derivatives 3rd step
  397.    wt: 1:   14 sine and cosine derivatives 2nd step
  398.    wt: 1:   13 sine and cosine derivatives 1st step
  399.    wt: 1:   8 Differentiation of polynomials
  400.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  401.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  402.    wt: 1:   9 Limits Continuity and Composition
  403.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  404.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  405.    wt: 1:   G.3 Constant Difference Theorem Proof
  406.    wt: 1:   E2 Algebraic Properties of Limits
  407.    wt: 1:   D2 Limits of Monotone Sequences
  408.    wt: 1:   PostScript For and Against Decimal Perspectives
  409.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  410.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  411.    wt: 1:   Chapter 22 Complex Numbers
  412.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  413.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  414.    wt: 1:   Chapter 7 Slopes and Velocity
  415.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  416.    wt: 1:   Chapter 2. Slopes and Ski Trails
  417.    wt: 1:   Appendix E. How To Study Mathematics and Why
  418.    wt: 1:   Appendix D. What to do in School and Why
  419.    wt: 1:   Chapter 31 Direct and Indirect Reason
  420.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  421.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  422.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  423.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  424.    wt: 1:   Chapter 20. Degrees and Radians
  425.    wt: 1:   Chapter 19. Functions and Sets
  426.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  427.    wt: 1:   Chapter 12. Shorthand Usage Guide
  428.    wt: 1:   Chapter 11. Why Shorthand
  429.    wt: 1:   Chapter 10 Describing and Changing Calculations
  430.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  431.    wt: 1:   Chapter 8 Three Skills For Algebra
  432.    wt: 1:   Chapter 6 Change of Language
  433.    wt: 1:   Chapter 4 Longer Chains of Reason
  434.    wt: 1:   Chapter 3 Chains of Reason
  435.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  436.    wt: 1:   Chapter 7 Two Treatments of Geometry
  437.    wt: 1:   Chapter 2 For and Against Mathematics
  438.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  439.    wt: 1:   Postscript B More on Story Telling and Reason
  440.    wt: 1:   Chapter 24 Direct and Indirect Reason
  441.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  442.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  443.    wt: 1:   Chapter 18 Sense and Knowledge
  444.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  445.    wt: 1:   Chapter 8 Change of Language
  446.    wt: 1:   Chapter 7 Longer Chains of Reason
  447.    wt: 1:   Chapter 6 Chains of Reason
  448.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  449.    wt: 1:   R Why Learn Mathematics Skills
  450.    wt: 1:   O On Learning Mathematics and Science
  451.    wt: 1:   L Skills with take home value
  452.    wt: 1:   N Improving Marks on Tests and Finals
  453.    wt: 1:   J. More on written work and showing skill
  454.    wt: 1:   H Jigsaw puzzles and problem solving
  455.    wt: 1:   G. Written work formats for developing and showing skill
  456.    wt: 1:   E. When and how to correct errors
  457.    wt: 1:   C. Domino effect of being careful
  458.    wt: 1:   B. Domino effect of errors
  459.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  460.    wt: 1:   Chapter 8 Skipped Topics and Why
  461.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  462.    wt: 1:   Chapter 6 More Algebra and Geometry
  463.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  464.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  465.    wt: 1:   7 Games and Activities for Instruction
  466.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  467.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  468.    wt: 1:   Helping the Blind in Logic and Mathematics
  469.    wt: 1:   More Algebra and Slope based Calculus Preview
  470.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  471.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  472.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  473.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  474.    wt: 1:   The Math Forum and Site Content

Extended Search

773 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   5 lengths and signs of numbers
  3.    wt: 9:   7 Converting or Changing Units
  4.    wt: 9:   21 Working With Signs
  5.    wt: 9:   18 Efficient Ways to Multiply
  6.    wt: 9:   16 Addition Subtraction Comparision Compared
  7.    wt: 9:   13 Fraction Comparison Algebraic View
  8.    wt: 9:   12 Fraction Comparison
  9.    wt: 9:   11 Simplification an Algebraic View
  10.    wt: 9:   8 Numerals Fractionals Quantals Take II
  11.    wt: 9:   7 Numerals Fractionals Quantals
  12.    wt: 9:   6 Multiplication Algebraically Take II
  13.    wt: 9:   4 Fraction Multiplication
  14.    wt: 9:   2 Unit Fraction Multiplication
  15.    wt: 9:   1 What is a fraction Take II
  16.    wt: 9:   1 What is a fraction
  17.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  18.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  19.    wt: 8:   4 Greater More Less Than Signs in General
  20.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  21.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  22.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  23.    wt: 8:   4 LCM of 8 and 10 via Prime
  24.    wt: 8:   3 Counting with Tables and Trees II
  25.    wt: 8:   2 Counting with Tables and Trees I
  26.    wt: 8:   1 Counting and Counting Methods I
  27.    wt: 8:   11 What are real lengths and numbers
  28.    wt: 8:   2 signed and unsigned numbers as coordinates
  29.    wt: 8:   8 Subtraction with Units of Measure
  30.    wt: 8:   8 What skills and work habits to require
  31.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  32.    wt: 8:   Quick history of numbers and algebra
  33.    wt: 7:   3 Properties of Square Roots with example
  34.    wt: 7:   1 Squares and Square Roots Introduction
  35.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  36.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  37.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  38.    wt: 7:   7 GCD and LCM from prime factorization
  39.    wt: 7:   5 Counting with Tables Trees Product Rule Take II
  40.    wt: 7:   4 Counting with Trees Product Rule Take I
  41.    wt: 7:   10 dividing signed numbers
  42.    wt: 7:   9 subtracting signed numbers
  43.    wt: 7:   8 multiplying signed numbers
  44.    wt: 7:   7 negative and additive inverse
  45.    wt: 7:   6 adding signed numbers
  46.    wt: 7:   3 signed coordinates for maps and planes
  47.    wt: 7:   6 Multiplication by Natural Numbers
  48.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  49.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  50.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  51.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  52.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  53.    wt: 7:   20 Uniqueness of Prime Factorization
  54.    wt: 7:   17 Identify and Count Factors using Primes
  55.    wt: 7:   16 video Factors of 980 using prime
  56.    wt: 7:   15 video Factors of 20 using Prime Factorization
  57.    wt: 7:   14 video Factors of 24 Take II
  58.    wt: 7:   13 video Factors of 24 using prime
  59.    wt: 7:   12 LCD GCD and LCM using Primes
  60.    wt: 7:   7 Calculator Usage Notes and Cautions
  61.    wt: 7:   5 Prime Factorization and a Square Rule
  62.    wt: 7:   3 video Primes and Composites from 9 times table
  63.    wt: 7:   2 Prime and Composites less than 16
  64.    wt: 7:   1 video how Products are bigger than factor
  65.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  66.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  67.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  68.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  69.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  70.    wt: 7:   7 Adding decimal fractions using decimal point
  71.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  72.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  73.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  74.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  75.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  76.    wt: 7:   Exact Arithmetic Wholes and Fractions
  77.    wt: 6:   5 Square Roots with primes more still
  78.    wt: 6:   4 Square Roots with primes more
  79.    wt: 6:   2 Square Roots with Prime
  80.    wt: 6:   13 GCD from given Prime Factorization
  81.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  82.    wt: 6:   8 GCD from Euclidean Algorithm
  83.    wt: 6:   6 GCD from Prime
  84.    wt: 6:   5 Common Divisors 60 45 via Prime
  85.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  86.    wt: 6:   2 Least Common Multiple LCM intro via list method
  87.    wt: 6:   1 Least Common Multiples LCM Introduction
  88.    wt: 6:   12 GCD 2700 288 via Prime
  89.    wt: 6:   4 signed coordinates for regions in space
  90.    wt: 6:   11 Adding Integers Formulas and Examples
  91.    wt: 6:   8 Multiplication by Signed Numbers Integers
  92.    wt: 6:   5 Zero Movement and Additive Inverses
  93.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  94.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  95.    wt: 6:   26 Divisibility by 2 3 5 Example
  96.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  97.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  98.    wt: 6:   23 Remainder Arithmetic Modulo 2
  99.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  100.    wt: 6:   21 Remainder Arithmetic Modulo 3
  101.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  102.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  103.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  104.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  105.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  106.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  107.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  108.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  109.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  110.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  111.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  112.    wt: 6:   5 Remainder Arithmetic Modulo 5
  113.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  114.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  115.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  116.    wt: 6:   1 Remainder Arithmetic Modulo 10
  117.    wt: 6:   19 video Prime Factorization Unique
  118.    wt: 6:   18 video Count Factors given Prime Factorization
  119.    wt: 6:   11 Efficient Square Rule Use
  120.    wt: 6:   10 video Prime Factorization upto 23 squared
  121.    wt: 6:   9 video Prime Factorization upto 19 squared
  122.    wt: 6:   8 video Prime Factorization upto 19
  123.    wt: 6:   4 video Prime Factorization Introduction
  124.    wt: 6:   Division with Counts and Length
  125.    wt: 6:   Long Division forwards and backwards Example 3
  126.    wt: 6:   Long Division forwards and backwards Example 2
  127.    wt: 6:   Long Division forwards and backwards Example 1
  128.    wt: 6:   10 Division by Five Long and Short Ways
  129.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  130.    wt: 6:   C Counting Areas with Powers of Ten
  131.    wt: 6:   B Powers of Ten
  132.    wt: 6:   6 Multiplication Commutes Order Not Important
  133.    wt: 6:   4 Two and Three Digit Multipliers
  134.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  135.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  136.    wt: 6:   Subtraction with J Conversions Example
  137.    wt: 6:   Subtraction Another Video Lesson
  138.    wt: 6:   9 22 Minute Subtraction Review Video
  139.    wt: 6:   5 A Tip for Efficent Subtraction
  140.    wt: 6:   2 Subtraction Easy Case Examples
  141.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  142.    wt: 6:   5. How to add decimals C. Examples
  143.    wt: 6:   4. How to add with decimals B with conversions
  144.    wt: 6:   3. How to add with decimals A sans conversions
  145.    wt: 6:   2 Decimal Counting Practices
  146.    wt: 6:   1. Explaining Addition Table
  147.    wt: 6:   11 Place Value SI Standard International way
  148.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  149.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  150.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  151.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  152.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  153.    wt: 5:   arithmetic videos Real Player Format
  154.    wt: 5:   D Remainders Modulo 11 Pair Rule
  155.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  156.    wt: 5:   B Integer Long Division Multiple Choices
  157.    wt: 5:   A Associative Law Theorectical Note
  158.    wt: 5:   13 Subtraction with Additive Inverse
  159.    wt: 5:   12 Adding Integers More Examples
  160.    wt: 5:   10 Integer Multiplication Formulas
  161.    wt: 5:   9 Multiplying Integers
  162.    wt: 5:   7 Multiplication by Signs
  163.    wt: 5:   4 Adding Movements wiht opposite directions
  164.    wt: 5:   3 Adding Movements with same direction
  165.    wt: 5:   1 Integers as Coordinates
  166.    wt: 5:   Long Division Backwards more
  167.    wt: 5:   Long Division Backward
  168.    wt: 5:   12 Why Long Division Works Take III
  169.    wt: 5:   11 Another Single Digit Divisor Example
  170.    wt: 5:   9 Why Long Division Works Take II
  171.    wt: 5:   8 Correcting the Mistake
  172.    wt: 5:   7 Long Divison Mistake Catching
  173.    wt: 5:   5 Long Division Include Zeroes or not
  174.    wt: 5:   4 Division with 2 Digit Divsors
  175.    wt: 5:   3 Division Single Digit Divisor Example
  176.    wt: 5:   2 Division with Single Digit Divisors
  177.    wt: 5:   1 Divsion Physical Examples
  178.    wt: 5:   D Decimal Multiplication Methods Derived
  179.    wt: 5:   A Elementary Basis for Multiplication Methods
  180.    wt: 5:   5 Decimal Fraction Multiplication
  181.    wt: 5:   3 More One Digit Multipliers
  182.    wt: 5:   2 One Digit Multipliers
  183.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  184.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  185.    wt: 5:   Video Power Notation in Decimal Expansion
  186.    wt: 5:   1 Why 3 times 5 gives 15
  187.    wt: 5:   Formula Evaluation how to show work
  188.    wt: 5:   Expression Evaluation how to show work
  189.    wt: 5:   The 20 Times Table
  190.    wt: 5:   The 12 Times Table Visually
  191.    wt: 5:   About folder contents
  192.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  193.    wt: 4:   27 Logarithmic use of products of sines and cosines
  194.    wt: 4:   6 Field Properties of Complex Number
  195.    wt: 4:   8 Division and Mulplication of Compound Fractions
  196.    wt: 4:   2 Combing Counts Addition Skills and Principles
  197.    wt: 4:   1 The Counting Origins of Numbers
  198.    wt: 4:   4 Mixing and Changing Units of Time
  199.    wt: 4:   3 Units and Lengths of Time
  200.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  201.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  202.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  203.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  204.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  205.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  206.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  207.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  208.    wt: 3:   26 Formulas for products of sines and cosines
  209.    wt: 3:   20 N th Roots of Complex Numbers
  210.    wt: 3:   13 Trig Formulas for dot and cross Products
  211.    wt: 3:   5 An Easy Proof of the Distributive Law
  212.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  213.    wt: 3:   3 Trigonometric Ratios sine and cosine
  214.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  215.    wt: 3:   10 Midpoint of [a b] and [b a]
  216.    wt: 3:   6 Intersection of lines by solving linear systems
  217.    wt: 3:   1 Numerical view of lines and their equations
  218.    wt: 3:   6 Polar Multiplication and Rotation
  219.    wt: 3:   6 Ruler and compass Angle Bisection
  220.    wt: 3:   22 Multiplication of Signed Numbers
  221.    wt: 3:   21 Addition of Multiples of a Single Vector
  222.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  223.    wt: 3:   11 Signed Number Addition and Addition Properties
  224.    wt: 3:   B Decimal Comparison and Subtraction
  225.    wt: 3:   6 Column Methods for Decimal Multiplication
  226.    wt: 3:   5 Distributive Law for Whole Numbers
  227.    wt: 3:   3 Multiplicative Counting Skills Principles
  228.    wt: 3:   4 Rates Ratios and Proporitionality
  229.    wt: 3:   4 Comparison of Negative Numbers
  230.    wt: 3:   2 More and Less Than for Counts and Measures
  231.    wt: 3:   10 Real Number Lengths and Signs
  232.    wt: 3:   1 Whole and Natural Numbers
  233.    wt: 3:   6 Three Examples
  234.    wt: 3:   4 A Brief Story of numbers and algebra
  235.    wt: 3:   011 Division of Time Intervals By Numbers
  236.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  237.    wt: 3:   1 Intro of Kids To Time Date Skills
  238.    wt: 3:   17 Derivatives of quotients of sine and cosine
  239.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  240.    wt: 3:   5 Jumps and absence of unlimited error control
  241.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  242.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  243.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  244.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  245.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  246.    wt: 3:   I. Logic and language skills
  247.    wt: 3:   How to Build Skills and Confidence
  248.    wt: 3:   7 Games and Activities for Instruction
  249.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  250.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  251.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  252.    wt: 2:   Ramblings Extrinsic numbers theory
  253.    wt: 2:   Theory of Knowledge
  254.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  255.    wt: 2:   2 Reading and Writing Skills
  256.    wt: 2:   Ages 12 to 14 Skills with take home value
  257.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  258.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  259.    wt: 2:   8 Set view of relations and functions
  260.    wt: 2:   9 Summary Degrees to Radians and back
  261.    wt: 2:   8 Radian Measures of Common Angles
  262.    wt: 2:   2 Radian Measure Numerical Value of one degree
  263.    wt: 2:   1 Degrees and Radians Introduction
  264.    wt: 2:   4 Resultant of a Sum of Movements
  265.    wt: 2:   Vector and Complex Number Applet
  266.    wt: 2:   Parallel Lines and Parallel Transversals
  267.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  268.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  269.    wt: 2:   Parallel Lines and Interior Angles
  270.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  271.    wt: 2:   Straight Lines Intersection of
  272.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  273.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  274.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  275.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  276.    wt: 2:   28 Expressing products of sines cosines as sums
  277.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  278.    wt: 2:   17E Trig Formulas for dot and cross Products
  279.    wt: 2:   14 cosine even and sine and tangent are odd
  280.    wt: 2:   10 Graphs of sines and cosines many periods
  281.    wt: 2:   9 Graphs of sine and cosine over one period
  282.    wt: 2:   7 period of sine and cosine
  283.    wt: 2:   21 Logarithms Powers and Exponentials
  284.    wt: 2:   19 N th Roots of Unity
  285.    wt: 2:   18 Sixth Roots of Unity
  286.    wt: 2:   17 Cube Roots of unity
  287.    wt: 2:   16 References and Originality Question
  288.    wt: 2:   14 Law of cosines
  289.    wt: 2:   12 cis formulas for sine cosines and tangent
  290.    wt: 2:   11 sine and cosine double triple angle formulas
  291.    wt: 2:   9 The complex number valued trig function cis
  292.    wt: 2:   8 Unit Circle Development of Trigonometry
  293.    wt: 2:   7 Second Way to Calculate Products
  294.    wt: 2:   2 Complex Numbers made easier we hope
  295.    wt: 2:   Appetizer A Complex Number Applet
  296.    wt: 2:   7 Trignometric Ratios Unit Circle
  297.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  298.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  299.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  300.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  301.    wt: 2:   8 Similarity of Triangles and Polygons
  302.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  303.    wt: 2:   7 Exercises to test skill and concept mastery
  304.    wt: 2:   5 Algebraic View of Slopes
  305.    wt: 2:   What is and is not here
  306.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  307.    wt: 2:   7 Complex Numbers Appetizer
  308.    wt: 2:   5 Cartesian Addition and Translation
  309.    wt: 2:   4 Polar Coordinates to and from
  310.    wt: 2:   PS H Distributive Law For Complex Numbers
  311.    wt: 2:   17 Right Bisectors of Triangle Sides
  312.    wt: 2:   16 Angles Subtended By Chords and Diameters
  313.    wt: 2:   9 Construction of a right bisector
  314.    wt: 2:   3 Isometry of Triangles Congruence
  315.    wt: 2:   1 Initial Concepts and Terms
  316.    wt: 2:   3 Lengths and Areas on Maps and Plans
  317.    wt: 2:   musings do not puiblish real numbers
  318.    wt: 2:   A Modular and Remainder Arithmetic
  319.    wt: 2:   A Signed Number Arithmetic Review
  320.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  321.    wt: 2:   19 Signed Multiples of Vectors
  322.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  323.    wt: 2:   13 Arrows and Vectors in a Plane
  324.    wt: 2:   12 Real Numbers Line Signed Coordinates
  325.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  326.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  327.    wt: 2:   4 Location of Point in Decimal Addition
  328.    wt: 2:   3 Location of Point in Decimal Multiplication
  329.    wt: 2:   1 Fractions with Finite Decimal Expansions
  330.    wt: 2:   E Long Division Methods more
  331.    wt: 2:   D Long Division Methods
  332.    wt: 2:   C Three Decimal Subtraction Methods
  333.    wt: 2:   A Decimal Addition Columm Methods
  334.    wt: 2:   8 Column Multiplication Methods in General
  335.    wt: 2:   7 Decimals Multiplication Methods Examples
  336.    wt: 2:   4 Commutative Law Groups Counting Form
  337.    wt: 2:   5 Areas of Rectangles Revisited
  338.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  339.    wt: 2:   5 Proportionality in Equivalent Fractions
  340.    wt: 2:   6 Equations and Systems Equivalent or Implied
  341.    wt: 2:   4 Subtraction and Division Axioms
  342.    wt: 2:   2 Addition and Multiplication Axioms
  343.    wt: 2:   3 More and Less Than with Unlike Signs
  344.    wt: 2:   1 Real Numbers Comparison
  345.    wt: 2:   16 Real Numbers Comparison
  346.    wt: 2:   15 Real Number Division
  347.    wt: 2:   14 Real Number Multiplication
  348.    wt: 2:   13 Real Number Subtraction
  349.    wt: 2:   12 Real Number Additive Inverses or Negatives
  350.    wt: 2:   11 Real Number Addition
  351.    wt: 2:   8 Coordinates for Maps and Planes
  352.    wt: 2:   7 Real Numbers as Line Cordinates
  353.    wt: 2:   6 Unsigned Real Numbers
  354.    wt: 2:   5 Rational Numbers More
  355.    wt: 2:   4 Rational Numbers
  356.    wt: 2:   3 Fractions
  357.    wt: 2:   3 Geometric Formulas and Function Notation
  358.    wt: 2:   1 Formulas Dependence and Function Notation
  359.    wt: 2:   Skill Development Notes
  360.    wt: 2:   10 One Example
  361.    wt: 2:   9 Three Examples
  362.    wt: 2:   8 One Example
  363.    wt: 2:   7 Two Examples
  364.    wt: 2:   5 Three Examples
  365.    wt: 2:   4 Two Examples
  366.    wt: 2:   3 Two Examples
  367.    wt: 2:   2 Three Examples
  368.    wt: 2:   8 Sets of Numbers
  369.    wt: 2:   5 Talking about Numbers and Quantities
  370.    wt: 2:   016 Numbering Occidental Calendar Days
  371.    wt: 2:   015 School and work day counting tables
  372.    wt: 2:   012 Division of Time Intervals by Time Intervals
  373.    wt: 2:   010 Repeated Addition of Time Intervals
  374.    wt: 2:   8 Addition of Time Intervals via subtotaling
  375.    wt: 2:   7 Addition of Time Intervals
  376.    wt: 2:   2 Time and Date Matters in School
  377.    wt: 2:   Example 2 volume of a cone
  378.    wt: 2:   Example 1 volume of a pyramid
  379.    wt: 2:   Volume of Solid by Cross Sections Lesson
  380.    wt: 2:   Example 1. Area Between x and x squared
  381.    wt: 2:   Example 4 with x function of y
  382.    wt: 2:   38 Formulas and derivatives for powers and roots
  383.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  384.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  385.    wt: 2:   9 Limits Continuity and Composition
  386.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  387.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  388.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  389.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  390.    wt: 2:   Chapter 12. Units and Slopes
  391.    wt: 2:   Chapter 10 Slopes and Units
  392.    wt: 2:   Appendix E. How To Study Mathematics and Why
  393.    wt: 2:   Appendix D. What to do in School and Why
  394.    wt: 2:   Chapter 31 Direct and Indirect Reason
  395.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  396.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  397.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  398.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  399.    wt: 2:   Chapter 20. Degrees and Radians
  400.    wt: 2:   Chapter 19. Functions and Sets
  401.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  402.    wt: 2:   Chapter 12. Shorthand Usage Guide
  403.    wt: 2:   Chapter 11. Why Shorthand
  404.    wt: 2:   Chapter 10 Describing and Changing Calculations
  405.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  406.    wt: 2:   Chapter 8 Three Skills For Algebra
  407.    wt: 2:   Chapter 6 Change of Language
  408.    wt: 2:   Chapter 4 Longer Chains of Reason
  409.    wt: 2:   Chapter 3 Chains of Reason
  410.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  411.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  412.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  413.    wt: 2:   R Why Learn Mathematics Skills
  414.    wt: 2:   O On Learning Mathematics and Science
  415.    wt: 2:   L Skills with take home value
  416.    wt: 2:   N Improving Marks on Tests and Finals
  417.    wt: 2:   J. More on written work and showing skill
  418.    wt: 2:   H Jigsaw puzzles and problem solving
  419.    wt: 2:   G. Written work formats for developing and showing skill
  420.    wt: 2:   E. When and how to correct errors
  421.    wt: 2:   C. Domino effect of being careful
  422.    wt: 2:   B. Domino effect of errors
  423.    wt: 1:   Appendix 1 primary and preschool mathematic
  424.    wt: 1:   G LAMP Introduction Problem Solving Skills
  425.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  426.    wt: 1:   Skills Chapter 5 Calculus
  427.    wt: 1:   Skills Chapter 4 Logic
  428.    wt: 1:   Skills Chapter 3 Algebra
  429.    wt: 1:   Skills Chapter 2 Geometry
  430.    wt: 1:   Skills Chapter 1 Arithmetic
  431.    wt: 1:   Skills Chapter 0 Introduction
  432.    wt: 1:   7 logic review and decimals an odd combination
  433.    wt: 1:   5 logarithms and exponentials etc
  434.    wt: 1:   2 arithmetic with signed numbers
  435.    wt: 1:   1 arithmetic with unsigned numbers
  436.    wt: 1:   key notes and themes
  437.    wt: 1:   Mathematics Education Professors
  438.    wt: 1:   what should be learnt and When
  439.    wt: 1:   standards for course material
  440.    wt: 1:   Education in mathematics science and technology
  441.    wt: 1:   Different Kinds of Reasoning in maths
  442.    wt: 1:   three kinds of reason in mathematics
  443.    wt: 1:   Motivation and Context Problem
  444.    wt: 1:   fairness and inductive principles for instruction
  445.    wt: 1:   E Kirchoffs Second Law
  446.    wt: 1:   D Kirchoff First Law
  447.    wt: 1:   Home Tutoring and Home Schooling
  448.    wt: 1:   24 Standards For Skill Develoment Take II
  449.    wt: 1:   24 Standards For Skill Develoment
  450.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  451.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  452.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  453.    wt: 1:   17 Math Booklets for children and young teenagers
  454.    wt: 1:   14 Multiplication and Times Tables
  455.    wt: 1:   13 Addition and Addition Tables
  456.    wt: 1:   12 Goals and Objectives For Mathematics
  457.    wt: 1:   11 Help and Defend Your Child or Teens Education
  458.    wt: 1:   8 The Effect of Negative Remarks
  459.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  460.    wt: 1:   5 Patience Please for Yourself and Your Charges
  461.    wt: 1:   4 Learning Takes Time and Effort
  462.    wt: 1:   1 Speaking Skills
  463.    wt: 1:   Ages 12 to 14 Geometry
  464.    wt: 1:   Ages 12 to 14 Arithmetic
  465.    wt: 1:   Ages 10 to 12 Geometry
  466.    wt: 1:   Ages 10 to 12 Arithmetic
  467.    wt: 1:   Ages 9 to 10
  468.    wt: 1:   Ages 8 to 9
  469.    wt: 1:   Ages 7 to 8
  470.    wt: 1:   Ages 6 to 7
  471.    wt: 1:   Ages 4 plus to 5 plus
  472.    wt: 1:   Ages 3 plus to 4 plus
  473.    wt: 1:   26 Function definitions done and coming
  474.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  475.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  476.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  477.    wt: 1:   19 Horizontal line rule and method
  478.    wt: 1:   18 Vertical Line Rule and Method
  479.    wt: 1:   17 Function maxima minima and their location
  480.    wt: 1:   15 Sign analysis of functions
  481.    wt: 1:   11 Function Domain Range Source and Targets
  482.    wt: 1:   9 Set theory term relation possible origins
  483.    wt: 1:   6 Set Existence Formation and Notation
  484.    wt: 1:   4 Function notation in and beyond mathematics
  485.    wt: 1:   2 Algebraic use of function notation
  486.    wt: 1:   1 Geometric Introduction of Function Notation
  487.    wt: 1:   9 quadratics physical and further context
  488.    wt: 1:   8 quadratics backward use of various formulas
  489.    wt: 1:   4 quadratics difference of two squares
  490.    wt: 1:   11 Growth and Decay in Biology
  491.    wt: 1:   10 Exponential Growth and Decay Models
  492.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  493.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  494.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  495.    wt: 1:   16 cotangent function Definition Graph and Inverse
  496.    wt: 1:   15 cosecant function Definition Graph and Inverse
  497.    wt: 1:   14 secant function Definition Graph and Inverse
  498.    wt: 1:   13 cosecant function Definition Graph and Inverse
  499.    wt: 1:   11 arctan left inverse of tangent Graph
  500.    wt: 1:   10 arctan left inverse of tangent Definition
  501.    wt: 1:   8 arcsin left inverse of sine Graph
  502.    wt: 1:   7 arcsin left inverse of sine Definition
  503.    wt: 1:   6 Graph of arccos function
  504.    wt: 1:   3 Left Inverse of cosine arccos definition
  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:   A Global Time and Navigation
  511.    wt: 1:   15 Dot and Cross Product
  512.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  513.    wt: 1:   4 graphing y=Asin(x c)
  514.    wt: 1:   3 graphing y=f(x c) plus K
  515.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  516.    wt: 1:   1 graphing y=f(x a)
  517.    wt: 1:   Triangle Angles Sum To 180 Degrees
  518.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  519.    wt: 1:   Straight Lines ASA Intersection Study More
  520.    wt: 1:   Straight Lines ASA Intersection Study
  521.    wt: 1:   Straight Lines Instersection Solving Equations
  522.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  523.    wt: 1:   C Straight Lines Slope from Coordinates
  524.    wt: 1:   B Straight Line Slope Scaling Properties More
  525.    wt: 1:   A Straight Line Slope Scaling Properties
  526.    wt: 1:   14 Straight Lines Equations General Case
  527.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  528.    wt: 1:   12 Straight Lines Graphing mx plus b
  529.    wt: 1:   11 Straight Lines Graphing y=mx
  530.    wt: 1:   10 Straight Lines through Origin Equations More
  531.    wt: 1:   9 Straight Lines through Origin Equations
  532.    wt: 1:   8 Straight Lines Equation for vertical
  533.    wt: 1:   7 Tangent Function is odd on this domain
  534.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  535.    wt: 1:   5 Tangent Function Graph
  536.    wt: 1:   4 Tangent Function Properties
  537.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  538.    wt: 1:   1 Straight Lines Slope Concept
  539.    wt: 1:   32 seven rows of pascals triangle
  540.    wt: 1:   30 unit circle calculation of six trigonometric functions
  541.    wt: 1:   29 secant cosecant and cotangent for acute angles
  542.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  543.    wt: 1:   21 sine and cosine Half Angle Formulas
  544.    wt: 1:   20 sine and cosine Double Angle Formulas
  545.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  546.    wt: 1:   18 sum of sinusoidal waves as a single wave
  547.    wt: 1:   17F Law of cosines
  548.    wt: 1:   17D cis formulas for sine cosines and tangent
  549.    wt: 1:   17C sine and cosine double triple angle formulas
  550.    wt: 1:   17A The complex number valued trig function cis
  551.    wt: 1:   13 Graph of tangent function many periods
  552.    wt: 1:   12 Graph of tangent function for one period
  553.    wt: 1:   8 period of tangent function
  554.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  555.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  556.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  557.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  558.    wt: 1:   Unit Circle Development of Trigonometry
  559.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  560.    wt: 1:   15 Pythagorean Theorem Converse
  561.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  562.    wt: 1:   4 Multiplication Properties
  563.    wt: 1:   3 Addition Properties
  564.    wt: 1:   1 Rectangular Polar Coordinates Review
  565.    wt: 1:   8 Triangles Cascade Problem Solving
  566.    wt: 1:   1 Angle Measurement with Degrees
  567.    wt: 1:   Why Trigonometry the whyslopes view
  568.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  569.    wt: 1:   9 Similarity of Triangles Usual Criteria
  570.    wt: 1:   1 Early Concept of Like or Similar Shapes
  571.    wt: 1:   Four Simple Exercises
  572.    wt: 1:   12 Links Lessons elsewhere
  573.    wt: 1:   11 A Partial Summary
  574.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  575.    wt: 1:   8 Mid Point Formula
  576.    wt: 1:   4 Equations for lines three forms
  577.    wt: 1:   3 Slope product for perpendicular lines
  578.    wt: 1:   2 point slope equation for a line
  579.    wt: 1:   13 Pythagorean spatial distance formulas
  580.    wt: 1:   12 Spatial Coordinates
  581.    wt: 1:   11 Triangle Inequality
  582.    wt: 1:   10 Pythagorean plane distance formula
  583.    wt: 1:   8 Distance Between Points on a Line
  584.    wt: 1:   3 Rectangular Coordinates Review
  585.    wt: 1:   2 Cartesian Coordinates with signs
  586.    wt: 1:   1 Cartesian Coordinates sans signs
  587.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  588.    wt: 1:   PS G Rotation Distributes over Addition
  589.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  590.    wt: 1:   PS E Multiplication with Polar Coordinates
  591.    wt: 1:   PS D Addition with Cartesian Coordinates
  592.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  593.    wt: 1:   PS B Parallelogram Construction Methods
  594.    wt: 1:   PS A Kite Construction Methods
  595.    wt: 1:   21 Parallelograms
  596.    wt: 1:   19 Right Triangle Similarity
  597.    wt: 1:   18 Triangle Similarity Take 1
  598.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  599.    wt: 1:   14 Parallel Lines Postulate
  600.    wt: 1:   13 Angle Side Angle Failure
  601.    wt: 1:   12 Side Angle Side Failure
  602.    wt: 1:   11 Triangle Construction Fails
  603.    wt: 1:   10 Dropping a perpendicular to line
  604.    wt: 1:   8 Isoceles Triangles
  605.    wt: 1:   7 Angle Side Angle
  606.    wt: 1:   5 Side Angle Side
  607.    wt: 1:   4 Side Side Side
  608.    wt: 1:   2 Correspondence between Triangles
  609.    wt: 1:   Short Course on Euclidean Geometry
  610.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  611.    wt: 1:   26 More Less Greater Than Comparison
  612.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  613.    wt: 1:   23 Distributive Law Two Derivations
  614.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  615.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  616.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  617.    wt: 1:   15 Head to Tails in place Addition Associative
  618.    wt: 1:   9 Division with Digits after Decimal Point
  619.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  620.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  621.    wt: 1:   2 Counting Digits in Decimal Multiplication
  622.    wt: 1:   4 Fraction Operations Axiomatic Development
  623.    wt: 1:   3 Inequalities Algebraically
  624.    wt: 1:   2 Fraction Operations Physical Development
  625.    wt: 1:   3 Proportionality Examples
  626.    wt: 1:   2 Algebraic View
  627.    wt: 1:   1 What is Proportionality
  628.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  629.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  630.    wt: 1:   6 Compound Interest Forward and Backwards
  631.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  632.    wt: 1:   5 Equality in Algebra
  633.    wt: 1:   3 Product Axioms Two Forms
  634.    wt: 1:   1 Equivalent Computation Rules
  635.    wt: 1:   5 Greater More Less Than Signs in General
  636.    wt: 1:   9 Coordinates for Regions in Space
  637.    wt: 1:   2 Integers
  638.    wt: 1:   5 Independent versus Dependent Variables
  639.    wt: 1:   4 Changing Letters
  640.    wt: 1:   2 Computation Rules Evaluation
  641.    wt: 1:   3 GE III Equation Addition and Multiplication
  642.    wt: 1:   6 Algebraic Solution Example
  643.    wt: 1:   11 Volume of Sphere
  644.    wt: 1:   10 Volume of Pyramid
  645.    wt: 1:   9 Volume of Cone
  646.    wt: 1:   1 Written work formats for developing and showing skill
  647.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  648.    wt: 1:   9 Sets in Probability and Statistics
  649.    wt: 1:   6 Three Notions of What is a Variable
  650.    wt: 1:   1 Three Skills For Algebra
  651.    wt: 1:   014 Counting Days with Calendars
  652.    wt: 1:   013 Travel Time Tables
  653.    wt: 1:   6 How long is a million seconds
  654.    wt: 1:   5 Conversion Arithmetic
  655.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  656.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  657.    wt: 1:   Example 3
  658.    wt: 1:   Example 2
  659.    wt: 1:   Example 1
  660.    wt: 1:   Area Between Curves Lesson Take 2
  661.    wt: 1:   Area Between Curves Lesson Take 1
  662.    wt: 1:   Summary
  663.    wt: 1:   34 Derivative of exponential function
  664.    wt: 1:   31 Derivatives of inverse functions
  665.    wt: 1:   30Chain Rule A Proof
  666.    wt: 1:   28 Chain Rule Preparation for a Proof
  667.    wt: 1:   15 sine and cosine derivatives 3rd step
  668.    wt: 1:   14 sine and cosine derivatives 2nd step
  669.    wt: 1:   13 sine and cosine derivatives 1st step
  670.    wt: 1:   8 Differentiation of polynomials
  671.    wt: 1:   11 Limits at infinity Three Examples
  672.    wt: 1:   10 Three one sided limits with infinite values
  673.    wt: 1:   8 Four Animated Examples
  674.    wt: 1:   7 Evaluation by immediate or delayed substitution
  675.    wt: 1:   6 Continuity at a point
  676.    wt: 1:   4 Numerical properties
  677.    wt: 1:   3 Decimal insights for limits continuity convergence
  678.    wt: 1:   2 Algebraic codification
  679.    wt: 1:   1 Numerical introduction
  680.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  681.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  682.    wt: 1:   G.3 Constant Difference Theorem Proof
  683.    wt: 1:   E2 Algebraic Properties of Limits
  684.    wt: 1:   D2 Limits of Monotone Sequences
  685.    wt: 1:   PostScript For and Against Decimal Perspectives
  686.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  687.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  688.    wt: 1:   Chapter 22 Complex Numbers
  689.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  690.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  691.    wt: 1:   Chapter 7 Slopes and Velocity
  692.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  693.    wt: 1:   Chapter 2. Slopes and Ski Trails
  694.    wt: 1:   Postscript More on Better Performance
  695.    wt: 1:   Postscript For Better Performance
  696.    wt: 1:   Appendix C. How to Read
  697.    wt: 1:   Appendix B. How To Learn
  698.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  699.    wt: 1:   Chapter 30 Truth Tables
  700.    wt: 1:   Chapter 28 Occurrence Tables
  701.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  702.    wt: 1:   Chapter 25. Mathematical Induction Examples
  703.    wt: 1:   Chapter 23. Notation For Sums
  704.    wt: 1:   Chapter 21. Third Reading Guide
  705.    wt: 1:   Chapter 18. Rules for Algebra
  706.    wt: 1:   Chapter 16. Painless Theorem Proving
  707.    wt: 1:   Chapter 15. Solving Linear Equations
  708.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  709.    wt: 1:   Chapter 13. Second Reading Guide
  710.    wt: 1:   Postscript What is a Variable
  711.    wt: 1:   Solutions For Arithmetic Exercises
  712.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  713.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  714.    wt: 1:   Foreword
  715.    wt: 1:   Chapter 7 Two Treatments of Geometry
  716.    wt: 1:   Chapter 2 For and Against Mathematics
  717.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  718.    wt: 1:   Postscript B More on Story Telling and Reason
  719.    wt: 1:   Chapter 24 Direct and Indirect Reason
  720.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  721.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  722.    wt: 1:   Chapter 18 Sense and Knowledge
  723.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  724.    wt: 1:   Chapter 8 Change of Language
  725.    wt: 1:   Chapter 7 Longer Chains of Reason
  726.    wt: 1:   Chapter 6 Chains of Reason
  727.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  728.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  729.    wt: 1:   S Adding words to algebra
  730.    wt: 1:   N Mathematics Prepare for College Studies
  731.    wt: 1:   M Words to extend arithmetic
  732.    wt: 1:   H more Routine to non routine problem solving
  733.    wt: 1:   F. The student teacher tutor feedback loop
  734.    wt: 1:   D. Check work a must with a caution
  735.    wt: 1:   A. Skill has to be seen to believed
  736.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  737.    wt: 1:   Chapter 8 Skipped Topics and Why
  738.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  739.    wt: 1:   Chapter 6 More Algebra and Geometry
  740.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  741.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  742.    wt: 1:   Helping the Blind in Logic and Mathematics
  743.    wt: 1:   More Algebra and Slope based Calculus Preview
  744.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  745.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  746.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  747.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  748.    wt: 1:   The Math Forum and Site Content
  749.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  750.    wt: 12:   B Fractions and Two Term Ratios
  751.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  752.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  753.    wt: 12:   9 Improper Fractions and Mixed Numbers
  754.    wt: 11:   6 Simplification of Fractions with Units
  755.    wt: 11:   5 Reciprocals and Division for Fractions with Units
  756.    wt: 11:   3 Multiplying Units and Numbers
  757.    wt: 11:   21 Reciprocals for Fractions and Wholes
  758.    wt: 11:   6 Multiplication of Mixed Numbers
  759.    wt: 10:   3 Comparison of Negative Numbers
  760.    wt: 10:   1 More and Less Than for Counts and Measures
  761.    wt: 10:   4 Fractions with Units
  762.    wt: 10:   2 Equality and Units
  763.    wt: 10:   1 Addition and Subtraction with Units
  764.    wt: 10:   D Three Term Ratios
  765.    wt: 10:   22 Complex Compound Fractions
  766.    wt: 10:   20 Dividing Fractions the Why
  767.    wt: 10:   19 Dividing Fractions How TO
  768.    wt: 10:   17 Efficient Ways to Add and Subtract
  769.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  770.    wt: 10:   14 Adding and Subtracting with Like Denominators
  771.    wt: 10:   5 Equivalent Fractions
  772.    wt: 10:   3 Unit fraction of a fraction
  773.    wt: 10:   6. Counting and adding units and mixed units

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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