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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53 matches:

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

Web Page Search

455 matches:

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

Extended Search

928 matches:

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