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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

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

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

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

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

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

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  1.    wt: 7:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   12 Function Translating and Rescaling/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 4:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  19.    wt: 2:   4 Lessons on Using Derivatives/
  20.    wt: 2:   38 Lessons on Calculating Derivatives/
  21.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  22.    wt: 1:   LAMP Lean Applied Mathematics Program/
  23.    wt: 1:   Mathematics Education Essays/
  24.    wt: 1:   Archives/
  25.    wt: 1:   Volume 1A Regles et modeles/
  26.    wt: 1:   4 Functions/
  27.    wt: 1:   1 Five Polynomial Operations/
  28.    wt: 1:   B Real Numbers Extrinsic Development/
  29.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  30.    wt: 1:   4 Computation Rules and Function Notation/
  31.    wt: 1:   Step 4 Gaussian Elimination/
  32.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  33.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  34.    wt: 1:   Step 1 Stick diagram and fractions/
  35.    wt: 1:   3 Solving Linear Equations/
  36.    wt: 1:   2 Formula Forward Use Evaluation/
  37.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  38.    wt: 1:   D Decimal Long Division Methods/
  39.    wt: 1:   1 Decimal Place Value/
  40.    wt: 1:   Time Date Matters/
  41.    wt: 1:   Skills with take home value/
  42.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  45.    wt: 1:   Volume 1A Pattern Based Reason/
  46.    wt: 1:   Volume 1 Elements of Reason/
  47.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  48.    wt: 1:   Mathematics Skill Development Framework/

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396 matches:

  1.    wt: 4:   31 Derivatives of inverse functions
  2.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  3.    wt: 3:   16 cotangent function Definition Graph and Inverse
  4.    wt: 3:   15 cosecant function Definition Graph and Inverse
  5.    wt: 3:   14 secant function Definition Graph and Inverse
  6.    wt: 3:   13 cosecant function Definition Graph and Inverse
  7.    wt: 3:   12 Real Number Additive Inverses or Negatives
  8.    wt: 3:   7 negative and additive inverse
  9.    wt: 3:   5 Zero Movement and Additive Inverses
  10.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  11.    wt: 3:   012 Division of Time Intervals by Time Intervals
  12.    wt: 3:   34 Derivative of exponential function
  13.    wt: 2:   Maps Plans Drawings
  14.    wt: 2:   Operational Viewpoint to Value
  15.    wt: 2:   deux definitions pour variable
  16.    wt: 2:   C Electromotive force conventional current02
  17.    wt: 2:   B Electromotive force conventional current01
  18.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  19.    wt: 2:   26 Function definitions done and coming
  20.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  21.    wt: 2:   23 Inverse Functions
  22.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  23.    wt: 2:   8 Set view of relations and functions
  24.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  25.    wt: 2:   4 Polynomials Long division linear divisor
  26.    wt: 2:   10 arctan left inverse of tangent Definition
  27.    wt: 2:   7 arcsin left inverse of sine Definition
  28.    wt: 2:   3 Left Inverse of cosine arccos definition
  29.    wt: 2:   13 Velocity Vectors in Physics
  30.    wt: 2:   3 Navigation with Arrows or Vectors
  31.    wt: 2:   18 sum of sinusoidal waves as a single wave
  32.    wt: 2:   17A The complex number valued trig function cis
  33.    wt: 2:   11 tangent function undefined when terminal side vertical
  34.    wt: 2:   Unit Circle Development of Trigonometry
  35.    wt: 2:   9 The complex number valued trig function cis
  36.    wt: 2:   8 Unit Circle Development of Trigonometry
  37.    wt: 2:   Why Trigonometry the whyslopes view
  38.    wt: 2:   4 Angles on Maps Plans drawn to scale
  39.    wt: 2:   3 Lengths and Areas on Maps and Plans
  40.    wt: 2:   23 Distributive Law Two Derivations
  41.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  42.    wt: 2:   5 Independent versus Dependent Variables
  43.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  44.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  45.    wt: 2:   5 Common Divisors 60 45 via Prime
  46.    wt: 2:   13 Subtraction with Additive Inverse
  47.    wt: 2:   18 video Count Factors given Prime Factorization
  48.    wt: 2:   10 Division by Five Long and Short Ways
  49.    wt: 2:   4 Division with 2 Digit Divsors
  50.    wt: 2:   3 Division Single Digit Divisor Example
  51.    wt: 2:   2 Division with Single Digit Divisors
  52.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  53.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  54.    wt: 2:   9 22 Minute Subtraction Review Video
  55.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  56.    wt: 2:   011 Division of Time Intervals By Numbers
  57.    wt: 2:   8 Addition of Time Intervals via subtotaling
  58.    wt: 2:   4 Second derivative test exercise example
  59.    wt: 2:   3 Second derivative test
  60.    wt: 2:   2 Second derivative test prequel
  61.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  62.    wt: 2:   38 Formulas and derivatives for powers and roots
  63.    wt: 2:   36 Cube root derivative animated
  64.    wt: 2:   17 Derivatives of quotients of sine and cosine
  65.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  66.    wt: 2:   15 sine and cosine derivatives 3rd step
  67.    wt: 2:   14 sine and cosine derivatives 2nd step
  68.    wt: 2:   13 sine and cosine derivatives 1st step
  69.    wt: 2:   3 Motivation for Limit Definition Take 2
  70.    wt: 2:   2 Motivation for Limit Definition Take 1
  71.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  72.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  73.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  74.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  75.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  76.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  77.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  78.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  79.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  80.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  81.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  82.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  83.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  84.    wt: 1:   G LAMP Introduction Problem Solving Skills
  85.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  86.    wt: 1:   A Introduction Objectives
  87.    wt: 1:   7 logic review and decimals an odd combination
  88.    wt: 1:   website reviews
  89.    wt: 1:   Math Ed if it must be short make it lean effective
  90.    wt: 1:   Applied Maths Program14092009 POMME variant
  91.    wt: 1:   activities for students
  92.    wt: 1:   About site lesson plans
  93.    wt: 1:   five decades make a difference
  94.    wt: 1:   formal or informal peer review
  95.    wt: 1:   cultivating intelligence
  96.    wt: 1:   Four ways to improve education reform
  97.    wt: 1:   Motivation and Context Problem
  98.    wt: 1:   fairness and inductive principles for instruction
  99.    wt: 1:   chapitre 12 00 les iles et division
  100.    wt: 1:   chapitre 04 05 Implication versus suggestion
  101.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  102.    wt: 1:   B Wire Resistance Qualitative02
  103.    wt: 1:   A Wire Resistance Qualitative01
  104.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  105.    wt: 1:   24 Standards For Skill Develoment Take II
  106.    wt: 1:   24 Standards For Skill Develoment
  107.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  108.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  109.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  110.    wt: 1:   12 Goals and Objectives For Mathematics
  111.    wt: 1:   10 Ends values for work study instruction
  112.    wt: 1:   8 The Effect of Negative Remarks
  113.    wt: 1:   7 Student Motivation
  114.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  115.    wt: 1:   Ages 12 to 14 Skills with take home value
  116.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  117.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  118.    wt: 1:   22 Square Root function graphically
  119.    wt: 1:   18 Vertical Line Rule and Method
  120.    wt: 1:   17 Function maxima minima and their location
  121.    wt: 1:   16 Increasing or decreasing on intervals
  122.    wt: 1:   15 Sign analysis of functions
  123.    wt: 1:   12 Function Domain Recognition Exercises
  124.    wt: 1:   11 Function Domain Range Source and Targets
  125.    wt: 1:   10 Interval Notation
  126.    wt: 1:   7 Functions with finite domains
  127.    wt: 1:   5 Function notation for geometric transformations
  128.    wt: 1:   4 Function notation in and beyond mathematics
  129.    wt: 1:   3 Formula or function graphing exercise
  130.    wt: 1:   2 Algebraic use of function notation
  131.    wt: 1:   1 Geometric Introduction of Function Notation
  132.    wt: 1:   8 quadratics backward use of various formulas
  133.    wt: 1:   7 quadratic formulla derivation
  134.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  135.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  136.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  137.    wt: 1:   1 Polynomials Distributive Law
  138.    wt: 1:   Rewriting algebraic substitution as function substitutions
  139.    wt: 1:   12 motivation for term arctan
  140.    wt: 1:   11 arctan left inverse of tangent Graph
  141.    wt: 1:   9 motivation for name arcsin
  142.    wt: 1:   8 arcsin left inverse of sine Graph
  143.    wt: 1:   6 Graph of arccos function
  144.    wt: 1:   4 possible motivation for term arccos
  145.    wt: 1:   2 cosine function more properties
  146.    wt: 1:   1 cosine function properties
  147.    wt: 1:   2 Radian Measure Numerical Value of one degree
  148.    wt: 1:   A Global Time and Navigation
  149.    wt: 1:   9 Head to Tail Coordinate View
  150.    wt: 1:   8 Parallel Vectors
  151.    wt: 1:   6 Vectors with Coordinates
  152.    wt: 1:   4 Resultant of a Sum of Movements
  153.    wt: 1:   Vector and Complex Number Applet
  154.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  155.    wt: 1:   Parallel Lines and Parallel Transversals
  156.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  157.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  158.    wt: 1:   Straight Lines Instersection Solving Equations
  159.    wt: 1:   8 Straight Lines Equation for vertical
  160.    wt: 1:   7 Tangent Function is odd on this domain
  161.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  162.    wt: 1:   5 Tangent Function Graph
  163.    wt: 1:   4 Tangent Function Properties
  164.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  165.    wt: 1:   17 tangent function angle sum formulas
  166.    wt: 1:   32 seven rows of pascals triangle
  167.    wt: 1:   30 unit circle calculation of six trigonometric functions
  168.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  169.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  170.    wt: 1:   17G Pythagorean Theorem Converse
  171.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  172.    wt: 1:   14 cosine even and sine and tangent are odd
  173.    wt: 1:   13 Graph of tangent function many periods
  174.    wt: 1:   12 Graph of tangent function for one period
  175.    wt: 1:   9 Graphs of sine and cosine over one period
  176.    wt: 1:   8 period of tangent function
  177.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  178.    wt: 1:   15 Pythagorean Theorem Converse
  179.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  180.    wt: 1:   5 An Easy Proof of the Distributive Law
  181.    wt: 1:   1 Rectangular Polar Coordinates Review
  182.    wt: 1:   8 Triangles Cascade Problem Solving
  183.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  184.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  185.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  186.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  187.    wt: 1:   4 Similarity Definition with Coordinate
  188.    wt: 1:   6 Intersection of lines by solving linear systems
  189.    wt: 1:   5 Algebraic View of Slopes
  190.    wt: 1:   1 Numerical view of lines and their equations
  191.    wt: 1:   3 Rectangular Coordinates Review
  192.    wt: 1:   PS H Distributive Law For Complex Numbers
  193.    wt: 1:   PS G Rotation Distributes over Addition
  194.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  195.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  196.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  197.    wt: 1:   6 Figuring with Maps Not to Scale
  198.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  199.    wt: 1:   A Signed Number Arithmetic Review
  200.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  201.    wt: 1:   21 Addition of Multiples of a Single Vector
  202.    wt: 1:   19 Signed Multiples of Vectors
  203.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  204.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  205.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  206.    wt: 1:   15 Head to Tails in place Addition Associative
  207.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  208.    wt: 1:   13 Arrows and Vectors in a Plane
  209.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  210.    wt: 1:   9 Division with Digits after Decimal Point
  211.    wt: 1:   8 Division and Mulplication of Compound Fractions
  212.    wt: 1:   E Long Division Methods more
  213.    wt: 1:   D Long Division Methods
  214.    wt: 1:   5 Distributive Law for Whole Numbers
  215.    wt: 1:   4 Commutative Law Groups Counting Form
  216.    wt: 1:   3 Multiplicative Counting Skills Principles
  217.    wt: 1:   5 Areas of Rectangles Revisited
  218.    wt: 1:   4 Fraction Operations Axiomatic Development
  219.    wt: 1:   2 Fraction Operations Physical Development
  220.    wt: 1:   5 Proportionality in Equivalent Fractions
  221.    wt: 1:   2 Algebraic View
  222.    wt: 1:   6 Equations and Systems Equivalent or Implied
  223.    wt: 1:   4 Subtraction and Division Axioms
  224.    wt: 1:   1 Equivalent Computation Rules
  225.    wt: 1:   4 Comparison of Negative Numbers
  226.    wt: 1:   15 Real Number Division
  227.    wt: 1:   8 Coordinates for Maps and Planes
  228.    wt: 1:   3 Geometric Formulas and Function Notation
  229.    wt: 1:   2 Computation Rules Evaluation
  230.    wt: 1:   1 Formulas Dependence and Function Notation
  231.    wt: 1:   4 Solving a triangular system exercise
  232.    wt: 1:   3 Solving triangular system example
  233.    wt: 1:   Skill Development Notes
  234.    wt: 1:   11 Volume of Sphere
  235.    wt: 1:   10 Volume of Pyramid
  236.    wt: 1:   9 Volume of Cone
  237.    wt: 1:   8 Compound Interest Formula Evaluation
  238.    wt: 1:   5 Box Volume Formula Example
  239.    wt: 1:   1 Written work formats for developing and showing skill
  240.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  241.    wt: 1:   2 Venn Diagrams
  242.    wt: 1:   6 Three Notions of What is a Variable
  243.    wt: 1:   2 What is a Variable
  244.    wt: 1:   arithmetic videos Real Player Format
  245.    wt: 1:   3 Comparison of Negative Numbers
  246.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  247.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  248.    wt: 1:   13 GCD from given Prime Factorization
  249.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  250.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  251.    wt: 1:   4 LCM of 8 and 10 via Prime
  252.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  253.    wt: 1:   2 Least Common Multiple LCM intro via list method
  254.    wt: 1:   12 GCD 2700 288 via Prime
  255.    wt: 1:   10 dividing signed numbers
  256.    wt: 1:   3 signed coordinates for maps and planes
  257.    wt: 1:   7 Converting or Changing Units
  258.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  259.    wt: 1:   20 Dividing Fractions the Why
  260.    wt: 1:   19 Dividing Fractions How TO
  261.    wt: 1:   13 Fraction Comparison Algebraic View
  262.    wt: 1:   11 Simplification an Algebraic View
  263.    wt: 1:   5 Equivalent Fractions
  264.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  265.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  266.    wt: 1:   B Integer Long Division Multiple Choices
  267.    wt: 1:   A Associative Law Theorectical Note
  268.    wt: 1:   4 Adding Movements wiht opposite directions
  269.    wt: 1:   3 Adding Movements with same direction
  270.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  271.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  272.    wt: 1:   26 Divisibility by 2 3 5 Example
  273.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  274.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  275.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  276.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  277.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  278.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  279.    wt: 1:   19 video Prime Factorization Unique
  280.    wt: 1:   16 video Factors of 980 using prime
  281.    wt: 1:   15 video Factors of 20 using Prime Factorization
  282.    wt: 1:   14 video Factors of 24 Take II
  283.    wt: 1:   13 video Factors of 24 using prime
  284.    wt: 1:   10 video Prime Factorization upto 23 squared
  285.    wt: 1:   9 video Prime Factorization upto 19 squared
  286.    wt: 1:   8 video Prime Factorization upto 19
  287.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  288.    wt: 1:   4 video Prime Factorization Introduction
  289.    wt: 1:   3 video Primes and Composites from 9 times table
  290.    wt: 1:   1 video how Products are bigger than factor
  291.    wt: 1:   Long Division Backwards more
  292.    wt: 1:   Long Division Backward
  293.    wt: 1:   Division with Counts and Length
  294.    wt: 1:   Long Division forwards and backwards Example 3
  295.    wt: 1:   Long Division forwards and backwards Example 2
  296.    wt: 1:   Long Division forwards and backwards Example 1
  297.    wt: 1:   12 Why Long Division Works Take III
  298.    wt: 1:   11 Another Single Digit Divisor Example
  299.    wt: 1:   9 Why Long Division Works Take II
  300.    wt: 1:   7 Long Divison Mistake Catching
  301.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  302.    wt: 1:   5 Long Division Include Zeroes or not
  303.    wt: 1:   1 Divsion Physical Examples
  304.    wt: 1:   D Decimal Multiplication Methods Derived
  305.    wt: 1:   Video Power Notation in Decimal Expansion
  306.    wt: 1:   1 Why 3 times 5 gives 15
  307.    wt: 1:   Subtraction with J Conversions Example
  308.    wt: 1:   Subtraction Another Video Lesson
  309.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  310.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  311.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  312.    wt: 1:   4. How to add with decimals B with conversions
  313.    wt: 1:   3. How to add with decimals A sans conversions
  314.    wt: 1:   11 Place Value SI Standard International way
  315.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  316.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  317.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  318.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  319.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  320.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  321.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  322.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  323.    wt: 1:   Formula Evaluation how to show work
  324.    wt: 1:   Expression Evaluation how to show work
  325.    wt: 1:   The 12 Times Table Visually
  326.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  327.    wt: 1:   013 Travel Time Tables
  328.    wt: 1:   010 Repeated Addition of Time Intervals
  329.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  330.    wt: 1:   7 Addition of Time Intervals
  331.    wt: 1:   5 Conversion Arithmetic
  332.    wt: 1:   Example 2 volume of a cone
  333.    wt: 1:   Example 1 volume of a pyramid
  334.    wt: 1:   Volume of Solid by Cross Sections Lesson
  335.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  336.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  337.    wt: 1:   Example 4 with x function of y
  338.    wt: 1:   Area Between Curves Lesson Take 2
  339.    wt: 1:   Area Between Curves Lesson Take 1
  340.    wt: 1:   A Related Material in Volume 3
  341.    wt: 1:   5 Area Under Curve Exercise
  342.    wt: 1:   4 Definite Integrals Evaluation Exercises
  343.    wt: 1:   1 Chain Rule in Reverse Integration Method
  344.    wt: 1:   A Related lessons in Volume 3
  345.    wt: 1:   A Chain Rule Real Player video examples
  346.    wt: 1:   33 Chain Rule Real Player video examples
  347.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  348.    wt: 1:   26 Chain Rule Recognising outer inner functions
  349.    wt: 1:   19 Chain Rule for linear functions
  350.    wt: 1:   10 Power rule for negative integers
  351.    wt: 1:   10 Three one sided limits with infinite values
  352.    wt: 1:   7 Evaluation by immediate or delayed substitution
  353.    wt: 1:   3 Decimal insights for limits continuity convergence
  354.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  355.    wt: 1:   G.5 Motions With Bounded Velocities
  356.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  357.    wt: 1:   F.5b Extreme Value Theorem
  358.    wt: 1:   F.4 Finite Covering Theorem
  359.    wt: 1:   F.3 Intermediate Value Theorem
  360.    wt: 1:   F.1 What Functions are Continuous
  361.    wt: 1:   PostScript For and Against Decimal Perspectives
  362.    wt: 1:   Chapter 23 Links To Trigonometry
  363.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  364.    wt: 1:   Chapter 16. Velocity Approximation
  365.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  366.    wt: 1:   Chapter 11. Graphing Slope versus Position
  367.    wt: 1:   Chapter 7 Slopes and Velocity
  368.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  369.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  370.    wt: 1:   Chapter 19. Functions and Sets
  371.    wt: 1:   Chapter 16. Painless Theorem Proving
  372.    wt: 1:   Chapter 15. Solving Linear Equations
  373.    wt: 1:   Postscript What is a Variable
  374.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  375.    wt: 1:   Chapter 15 Objective Processes
  376.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  377.    wt: 1:   Chapter 2 Skill Development
  378.    wt: 1:   L Skills with take home value
  379.    wt: 1:   N Improving Marks on Tests and Finals
  380.    wt: 1:   H more Routine to non routine problem solving
  381.    wt: 1:   H Jigsaw puzzles and problem solving
  382.    wt: 1:   G. Written work formats for developing and showing skill
  383.    wt: 1:   A. Skill has to be seen to believed
  384.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  385.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  386.    wt: 1:   7 Games and Activities for Instruction
  387.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  388.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  389.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  390.    wt: 1:   More Algebra and Slope based Calculus Preview
  391.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  392.    wt: 1:   Systematic Algebra Skill Development Missing Links
  393.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  394.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  395.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  396.    wt: 1:   Site Reviews

Extended Search

882 matches:

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