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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51 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   8 Unit Circle Trigonometry/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 6:   3 Cartesian and Polar Coordinates/
  7.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 5:   12 Function Translating and Rescaling/
  10.    wt: 5:   11 Parallel Straight Lines and Transversals/
  11.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  12.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   4 Lines and Slopes Take 1/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  18.    wt: 2:   4 Functions/
  19.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  20.    wt: 2:   9 Proportionality Backwards and Forwards/
  21.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  22.    wt: 2:   2 Formula Forward Use Evaluation/
  23.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 2:   9 Combinatorics Trees Tables and Products/
  25.    wt: 2:   3 Prime Factorization Skills/
  26.    wt: 1:   3 Quadratics Geometrically/
  27.    wt: 1:   1 Five Polynomial Operations/
  28.    wt: 1:   More Algebra/
  29.    wt: 1:   A Origins of Counting and Figuring Methods/
  30.    wt: 1:   8 Unifying Theme For Algebra/
  31.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  32.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  33.    wt: 1:   1 Working With Sets/
  34.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  35.    wt: 1:   11 Squares and Square Roots/
  36.    wt: 1:   8 Arithmetic with Signed Numbers/
  37.    wt: 1:   7 Arithmetic and Fractions with Units/
  38.    wt: 1:   6 Fractions and Ratios/
  39.    wt: 1:   5 Integers/
  40.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  41.    wt: 1:   D Decimal Long Division Methods/
  42.    wt: 1:   C Decimal Multiplication Methods/
  43.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  44.    wt: 1:   A Decimal Counting and Adding Methods/
  45.    wt: 1:   2 Arithmetic with Decimals/
  46.    wt: 1:   1 Decimal Place Value/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   Volume 2 Three Skills For Algebra/
  49.    wt: 1:   Work and Study Tips/
  50.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  51.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

438 matches:

  1.    wt: 4:   8 Notes for instructors or tutors
  2.    wt: 3:   formal or informal peer review
  3.    wt: 3:   words for mathematics instructor
  4.    wt: 3:   3 Formula or function graphing exercise
  5.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  6.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  7.    wt: 3:   17D cis formulas for sine cosines and tangent
  8.    wt: 3:   12 cis formulas for sine cosines and tangent
  9.    wt: 3:   8 Coordinates for Maps and Planes
  10.    wt: 3:   Formula Usage Show Work Format
  11.    wt: 3:   1 Written work formats for developing and showing skill
  12.    wt: 3:   3 signed coordinates for maps and planes
  13.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  14.    wt: 3:   G. Written work formats for developing and showing skill
  15.    wt: 2:   Maps Plans Drawings
  16.    wt: 2:   02 21 words for teachers
  17.    wt: 2:   Prequel In For A Penny In For A Pound
  18.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  19.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  20.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  21.    wt: 2:   10 Ends values for work study instruction
  22.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  23.    wt: 2:   9 Set theory term relation possible origins
  24.    wt: 2:   5 Function notation for geometric transformations
  25.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  26.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  27.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  28.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  29.    wt: 2:   5 Natural Logarithm Calculator Exercises
  30.    wt: 2:   1 Calculator Starter Exercises
  31.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  32.    wt: 2:   6 Vectors with Coordinates
  33.    wt: 2:   3 Navigation with Arrows or Vectors
  34.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  35.    wt: 2:   10 Straight Lines through Origin Equations More
  36.    wt: 2:   26 Formulas for products of sines and cosines
  37.    wt: 2:   17G Pythagorean Theorem Converse
  38.    wt: 2:   17E Trig Formulas for dot and cross Products
  39.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  40.    wt: 2:   15 Pythagorean Theorem Converse
  41.    wt: 2:   13 Trig Formulas for dot and cross Products
  42.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  43.    wt: 2:   4 Equations for lines three forms
  44.    wt: 2:   13 Pythagorean spatial distance formulas
  45.    wt: 2:   10 Pythagorean plane distance formula
  46.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  47.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  48.    wt: 2:   4 Angles on Maps Plans drawn to scale
  49.    wt: 2:   3 Lengths and Areas on Maps and Plans
  50.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  51.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  52.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  53.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  54.    wt: 2:   2 More and Less Than for Counts and Measures
  55.    wt: 2:   9 Coordinates for Regions in Space
  56.    wt: 2:   More Exercises
  57.    wt: 2:   13 Naming Identifying Formulas with Words
  58.    wt: 2:   1 More and Less Than for Counts and Measures
  59.    wt: 2:   4 signed coordinates for regions in space
  60.    wt: 2:   18 video Count Factors given Prime Factorization
  61.    wt: 2:   15 video Factors of 20 using Prime Factorization
  62.    wt: 2:   6 Multiplication Commutes Order Not Important
  63.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  64.    wt: 2:   Formula Evaluation how to show work
  65.    wt: 2:   38 Formulas and derivatives for powers and roots
  66.    wt: 2:   19 Chain Rule for linear functions
  67.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  68.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  69.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  70.    wt: 2:   Foreword
  71.    wt: 2:   Postscript More on Better Performance
  72.    wt: 2:   Postscript For Better Performance
  73.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  74.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  75.    wt: 2:   Solutions For Arithmetic Exercises
  76.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  77.    wt: 2:   Foreword
  78.    wt: 2:   Foreword
  79.    wt: 2:   Postscript B More on Story Telling and Reason
  80.    wt: 2:   Foreword
  81.    wt: 2:   J. More on written work and showing skill
  82.    wt: 2:   E. When and how to correct errors
  83.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  84.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  85.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  86.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  87.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  88.    wt: 1:   J LAMP Introduction Extrinsic Origins
  89.    wt: 1:   Ramblings Extrinsic numbers theory
  90.    wt: 1:   9 combinatorics probability sets
  91.    wt: 1:   5 logarithms and exponentials etc
  92.    wt: 1:   three goals to set for students
  93.    wt: 1:   permissions for teachers
  94.    wt: 1:   Math Ed if it must be short make it lean effective
  95.    wt: 1:   activities for students
  96.    wt: 1:   site origins
  97.    wt: 1:   About site lesson plans
  98.    wt: 1:   Mathematics Education Professors
  99.    wt: 1:   grouping students according to ability
  100.    wt: 1:   Education Reform Inconsistencies
  101.    wt: 1:   geometric implications for algebra
  102.    wt: 1:   teaching tutoring algebraic reason
  103.    wt: 1:   three goals for Mathematics Education
  104.    wt: 1:   04 25 when to stop or suspend mathemat
  105.    wt: 1:   three aims for mathematics students
  106.    wt: 1:   standards for course material
  107.    wt: 1:   Theory of Knowledge
  108.    wt: 1:   Four ways to improve education reform
  109.    wt: 1:   How to be a better instructor
  110.    wt: 1:   need for a mixed mathematics curriculum
  111.    wt: 1:   fairness and inductive principles for instruction
  112.    wt: 1:   3 Like resistors in parallel
  113.    wt: 1:   2 Unlike resistors in parallel01
  114.    wt: 1:   1 Like resistors in series
  115.    wt: 1:   F Unlike Resistors in Series
  116.    wt: 1:   C Electromotive force conventional current02
  117.    wt: 1:   B Electromotive force conventional current01
  118.    wt: 1:   Home Tutoring and Home Schooling
  119.    wt: 1:   24 Standards For Skill Develoment Take II
  120.    wt: 1:   24 Standards For Skill Develoment
  121.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  122.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  123.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  124.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  125.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  126.    wt: 1:   17 Math Booklets for children and young teenagers
  127.    wt: 1:   15 Counting For Parents
  128.    wt: 1:   12 Goals and Objectives For Mathematics
  129.    wt: 1:   11 Help and Defend Your Child or Teens Education
  130.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  131.    wt: 1:   5 Patience Please for Yourself and Your Charges
  132.    wt: 1:   4 Learning Takes Time and Effort
  133.    wt: 1:   3 Preparing for Science Studies
  134.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  135.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  136.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  137.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  138.    wt: 1:   23 Inverse Functions
  139.    wt: 1:   20 Interchanging coordinates a reflection
  140.    wt: 1:   19 Horizontal line rule and method
  141.    wt: 1:   16 Increasing or decreasing on intervals
  142.    wt: 1:   15 Sign analysis of functions
  143.    wt: 1:   12 Function Domain Recognition Exercises
  144.    wt: 1:   8 Set view of relations and functions
  145.    wt: 1:   7 Functions with finite domains
  146.    wt: 1:   6 Set Existence Formation and Notation
  147.    wt: 1:   10 quadratic exercises
  148.    wt: 1:   8 quadratics backward use of various formulas
  149.    wt: 1:   7 quadratic formulla derivation
  150.    wt: 1:   3 quadratics factoring by inspection
  151.    wt: 1:   1 quadratics graphing exercises
  152.    wt: 1:   10 Exponential Growth and Decay Models
  153.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  154.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  155.    wt: 1:   4 Polynomials Long division linear divisor
  156.    wt: 1:   12 motivation for term arctan
  157.    wt: 1:   9 motivation for name arcsin
  158.    wt: 1:   5 Swapping Coordinates is a reflection
  159.    wt: 1:   4 possible motivation for term arccos
  160.    wt: 1:   2 cosine function more properties
  161.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  162.    wt: 1:   13 Velocity Vectors in Physics
  163.    wt: 1:   9 Head to Tail Coordinate View
  164.    wt: 1:   8 Parallel Vectors
  165.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  166.    wt: 1:   2 Signed Coordinates
  167.    wt: 1:   1 Unsigned Coordinates
  168.    wt: 1:   Vector and Complex Number Applet
  169.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  170.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  171.    wt: 1:   Parallel Lines and Interior Angles
  172.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  173.    wt: 1:   Straight Lines ASA Intersection Study More
  174.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  175.    wt: 1:   C Straight Lines Slope from Coordinates
  176.    wt: 1:   B Straight Line Slope Scaling Properties More
  177.    wt: 1:   9 Straight Lines through Origin Equations
  178.    wt: 1:   8 Straight Lines Equation for vertical
  179.    wt: 1:   17 tangent function angle sum formulas
  180.    wt: 1:   30 unit circle calculation of six trigonometric functions
  181.    wt: 1:   29 secant cosecant and cotangent for acute angles
  182.    wt: 1:   25 tangent double angle formula Slope connection
  183.    wt: 1:   24 tangent Angle Difference Formula
  184.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  185.    wt: 1:   21 sine and cosine Half Angle Formulas
  186.    wt: 1:   20 sine and cosine Double Angle Formulas
  187.    wt: 1:   17C sine and cosine double triple angle formulas
  188.    wt: 1:   17A The complex number valued trig function cis
  189.    wt: 1:   12 Graph of tangent function for one period
  190.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  191.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  192.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  193.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  194.    wt: 1:   Unit Circle Development of Trigonometry
  195.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  196.    wt: 1:   21 Logarithms Powers and Exponentials
  197.    wt: 1:   16 References and Originality Question
  198.    wt: 1:   11 sine and cosine double triple angle formulas
  199.    wt: 1:   9 The complex number valued trig function cis
  200.    wt: 1:   8 Unit Circle Development of Trigonometry
  201.    wt: 1:   1 Rectangular Polar Coordinates Review
  202.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  203.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  204.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  205.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  206.    wt: 1:   Why Trigonometry the whyslopes view
  207.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  208.    wt: 1:   12 Triangles Similarity More Problems
  209.    wt: 1:   4 Similarity Definition with Coordinate
  210.    wt: 1:   3 Similarity by Design with coordinates
  211.    wt: 1:   1 Early Concept of Like or Similar Shapes
  212.    wt: 1:   Four Simple Exercises
  213.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  214.    wt: 1:   8 Mid Point Formula
  215.    wt: 1:   7 Exercises to test skill and concept mastery
  216.    wt: 1:   3 Slope product for perpendicular lines
  217.    wt: 1:   2 point slope equation for a line
  218.    wt: 1:   12 Spatial Coordinates
  219.    wt: 1:   4 Polar Coordinates to and from
  220.    wt: 1:   3 Rectangular Coordinates Review
  221.    wt: 1:   2 Cartesian Coordinates with signs
  222.    wt: 1:   1 Cartesian Coordinates sans signs
  223.    wt: 1:   PS H Distributive Law For Complex Numbers
  224.    wt: 1:   PS E Multiplication with Polar Coordinates
  225.    wt: 1:   PS D Addition with Cartesian Coordinates
  226.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  227.    wt: 1:   17 Right Bisectors of Triangle Sides
  228.    wt: 1:   16 Angles Subtended By Chords and Diameters
  229.    wt: 1:   9 Construction of a right bisector
  230.    wt: 1:   2 Correspondence between Triangles
  231.    wt: 1:   Short Course on Euclidean Geometry
  232.    wt: 1:   6 Figuring with Maps Not to Scale
  233.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  234.    wt: 1:   26 More Less Greater Than Comparison
  235.    wt: 1:   21 Addition of Multiples of a Single Vector
  236.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  237.    wt: 1:   19 Signed Multiples of Vectors
  238.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  239.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  240.    wt: 1:   13 Arrows and Vectors in a Plane
  241.    wt: 1:   12 Real Numbers Line Signed Coordinates
  242.    wt: 1:   E Long Division Methods more
  243.    wt: 1:   6 Column Methods for Decimal Multiplication
  244.    wt: 1:   5 Distributive Law for Whole Numbers
  245.    wt: 1:   4 Commutative Law Groups Counting Form
  246.    wt: 1:   1 The Counting Origins of Numbers
  247.    wt: 1:   5 Proportionality in Equivalent Fractions
  248.    wt: 1:   4 Rates Ratios and Proporitionality
  249.    wt: 1:   3 Proportionality Examples
  250.    wt: 1:   1 What is Proportionality
  251.    wt: 1:   6 Compound Interest Forward and Backwards
  252.    wt: 1:   5 Triangle Area Formula Backwards
  253.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  254.    wt: 1:   3 Linear Equation Literal Solution More
  255.    wt: 1:   6 Equations and Systems Equivalent or Implied
  256.    wt: 1:   3 Product Axioms Two Forms
  257.    wt: 1:   5 Greater More Less Than Signs in General
  258.    wt: 1:   3 More and Less Than with Unlike Signs
  259.    wt: 1:   12 Real Number Additive Inverses or Negatives
  260.    wt: 1:   7 Real Numbers as Line Cordinates
  261.    wt: 1:   5 Rational Numbers More
  262.    wt: 1:   3 Geometric Formulas and Function Notation
  263.    wt: 1:   1 Formulas Dependence and Function Notation
  264.    wt: 1:   Simple Exercises
  265.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  266.    wt: 1:   4 Solving a triangular system exercise
  267.    wt: 1:   2 Essentially one exercises three with solution
  268.    wt: 1:   Using Letters for Physical Quantities
  269.    wt: 1:   8 Compound Interest Formula Evaluation
  270.    wt: 1:   7 Compound Interest Formula Introduction
  271.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  272.    wt: 1:   5 Box Volume Formula Example
  273.    wt: 1:   4 Circle Area Formula Example
  274.    wt: 1:   3 Triangle Area Formula Example
  275.    wt: 1:   2 Another Rectangle Area Formula Example
  276.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  277.    wt: 1:   7 Cautious or Safe Set Construction
  278.    wt: 1:   4 A Brief Story of numbers and algebra
  279.    wt: 1:   3 Adding Words To Arithmetic
  280.    wt: 1:   1 Three Skills For Algebra
  281.    wt: 1:   arithmetic videos Real Player Format
  282.    wt: 1:   4 Greater More Less Than Signs in General
  283.    wt: 1:   2 More and Less Than with Unlike Signs
  284.    wt: 1:   5 Square Roots with primes more still
  285.    wt: 1:   4 Square Roots with primes more
  286.    wt: 1:   13 GCD from given Prime Factorization
  287.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  288.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  289.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  290.    wt: 1:   8 GCD from Euclidean Algorithm
  291.    wt: 1:   7 GCD and LCM from prime factorization
  292.    wt: 1:   5 Common Divisors 60 45 via Prime
  293.    wt: 1:   2 signed and unsigned numbers as coordinates
  294.    wt: 1:   7 Converting or Changing Units
  295.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  296.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  297.    wt: 1:   21 Working With Signs
  298.    wt: 1:   21 Reciprocals for Fractions and Wholes
  299.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  300.    wt: 1:   14 Adding and Subtracting with Like Denominators
  301.    wt: 1:   A Associative Law Theorectical Note
  302.    wt: 1:   12 Adding Integers More Examples
  303.    wt: 1:   11 Adding Integers Formulas and Examples
  304.    wt: 1:   10 Integer Multiplication Formulas
  305.    wt: 1:   1 Integers as Coordinates
  306.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  307.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  308.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  309.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  310.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  311.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  312.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  313.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  314.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  315.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  316.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  317.    wt: 1:   20 Uniqueness of Prime Factorization
  318.    wt: 1:   19 video Prime Factorization Unique
  319.    wt: 1:   17 Identify and Count Factors using Primes
  320.    wt: 1:   16 video Factors of 980 using prime
  321.    wt: 1:   14 video Factors of 24 Take II
  322.    wt: 1:   13 video Factors of 24 using prime
  323.    wt: 1:   10 video Prime Factorization upto 23 squared
  324.    wt: 1:   9 video Prime Factorization upto 19 squared
  325.    wt: 1:   8 video Prime Factorization upto 19
  326.    wt: 1:   7 Calculator Usage Notes and Cautions
  327.    wt: 1:   5 Prime Factorization and a Square Rule
  328.    wt: 1:   4 video Prime Factorization Introduction
  329.    wt: 1:   1 video how Products are bigger than factor
  330.    wt: 1:   Long Division Backwards more
  331.    wt: 1:   Long Division forwards and backwards Example 3
  332.    wt: 1:   Long Division forwards and backwards Example 2
  333.    wt: 1:   Long Division forwards and backwards Example 1
  334.    wt: 1:   12 Why Long Division Works Take III
  335.    wt: 1:   11 Another Single Digit Divisor Example
  336.    wt: 1:   10 Division by Five Long and Short Ways
  337.    wt: 1:   9 Why Long Division Works Take II
  338.    wt: 1:   8 Correcting the Mistake
  339.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  340.    wt: 1:   5 Long Division Include Zeroes or not
  341.    wt: 1:   4 Division with 2 Digit Divsors
  342.    wt: 1:   3 Division Single Digit Divisor Example
  343.    wt: 1:   2 Division with Single Digit Divisors
  344.    wt: 1:   A Elementary Basis for Multiplication Methods
  345.    wt: 1:   3 More One Digit Multipliers
  346.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  347.    wt: 1:   5 A Tip for Efficent Subtraction
  348.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  349.    wt: 1:   8 What skills and work habits to require
  350.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  351.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  352.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  353.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  354.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  355.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  356.    wt: 1:   Quick history of numbers and algebra
  357.    wt: 1:   Expression Evaluation how to show work
  358.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  359.    wt: 1:   015 School and work day counting tables
  360.    wt: 1:   5 Area Under Curve Exercise
  361.    wt: 1:   4 Definite Integrals Evaluation Exercises
  362.    wt: 1:   3 Two Chain Rule Method Exercises
  363.    wt: 1:   2 Indefinite Integrals Exercises
  364.    wt: 1:   4 Second derivative test exercise example
  365.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  366.    wt: 1:   34 Derivative of exponential function
  367.    wt: 1:   31 Derivatives of inverse functions
  368.    wt: 1:   28 Chain Rule Preparation for a Proof
  369.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  370.    wt: 1:   26 Chain Rule Recognising outer inner functions
  371.    wt: 1:   22 Chain Rule for polynomials
  372.    wt: 1:   21 Chain Rule for powers
  373.    wt: 1:   20 Chain Rule for Pulley Systems
  374.    wt: 1:   10 Power rule for negative integers
  375.    wt: 1:   3 Motivation for Limit Definition Take 2
  376.    wt: 1:   2 Motivation for Limit Definition Take 1
  377.    wt: 1:   7 Evaluation by immediate or delayed substitution
  378.    wt: 1:   5 Jumps and absence of unlimited error control
  379.    wt: 1:   3 Decimal insights for limits continuity convergence
  380.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  381.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  382.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  383.    wt: 1:   G.3 Constant Difference Theorem Proof
  384.    wt: 1:   F.5b Extreme Value Theorem
  385.    wt: 1:   F.5a Equicontinuity Theorems
  386.    wt: 1:   F.4 Finite Covering Theorem
  387.    wt: 1:   F.3 Intermediate Value Theorem
  388.    wt: 1:   F.2 Closed Range Theorem
  389.    wt: 1:   F.1 What Functions are Continuous
  390.    wt: 1:   E1 Error Control Inequalities
  391.    wt: 1:   B3 Bolzano Weierstrass Theorem
  392.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  393.    wt: 1:   PostScript For and Against Decimal Perspectives
  394.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  395.    wt: 1:   Chapter 23 Links To Trigonometry
  396.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  397.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  398.    wt: 1:   Chapter 4. More Slope Sign Analysis
  399.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  400.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  401.    wt: 1:   Chapter 23. Notation For Sums
  402.    wt: 1:   Chapter 19. Functions and Sets
  403.    wt: 1:   Chapter 18. Rules for Algebra
  404.    wt: 1:   Chapter 16. Painless Theorem Proving
  405.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  406.    wt: 1:   Chapter 12. Shorthand Usage Guide
  407.    wt: 1:   Chapter 11. Why Shorthand
  408.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  409.    wt: 1:   Chapter 8 Three Skills For Algebra
  410.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  411.    wt: 1:   Chapter 2 For and Against Mathematics
  412.    wt: 1:   Postscript C Consistency as a Tool for Reason
  413.    wt: 1:   Postscript A Story Telling
  414.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  415.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  416.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  417.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  418.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  419.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  420.    wt: 1:   S Adding words to algebra
  421.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  422.    wt: 1:   N Mathematics Prepare for College Studies
  423.    wt: 1:   M Words to extend arithmetic
  424.    wt: 1:   H more Routine to non routine problem solving
  425.    wt: 1:   F. The student teacher tutor feedback loop
  426.    wt: 1:   D. Check work a must with a caution
  427.    wt: 1:   B. Domino effect of errors
  428.    wt: 1:   Chapter 6 More Algebra and Geometry
  429.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  430.    wt: 1:   7 Games and Activities for Instruction
  431.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  432.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  433.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  434.    wt: 1:   More Algebra and Slope based Calculus Preview
  435.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  436.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  437.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  438.    wt: 1:   The Math Forum and Site Content

Extended Search

811 matches:

  1.    wt: 9:   19 Pythagorean Identity For sine and cosine functions
  2.    wt: 9:   17D cis formulas for sine cosines and tangent
  3.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  4.    wt: 9:   4 Angles on Maps Plans drawn to scale
  5.    wt: 9:   3 Lengths and Areas on Maps and Plans
  6.    wt: 8:   6 Vectors with Coordinates
  7.    wt: 8:   3 Navigation with Arrows or Vectors
  8.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  9.    wt: 8:   26 Formulas for products of sines and cosines
  10.    wt: 8:   17G Pythagorean Theorem Converse
  11.    wt: 8:   17E Trig Formulas for dot and cross Products
  12.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  13.    wt: 8:   12 cis formulas for sine cosines and tangent
  14.    wt: 8:   13 Pythagorean spatial distance formulas
  15.    wt: 8:   10 Pythagorean plane distance formula
  16.    wt: 8:   9 Pythagorean Theorem Chinese Square Proof
  17.    wt: 8:   6 Figuring with Maps Not to Scale
  18.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  19.    wt: 7:   12 motivation for term arctan
  20.    wt: 7:   9 motivation for name arcsin
  21.    wt: 7:   5 Swapping Coordinates is a reflection
  22.    wt: 7:   4 possible motivation for term arccos
  23.    wt: 7:   2 cosine function more properties
  24.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  25.    wt: 7:   13 Velocity Vectors in Physics
  26.    wt: 7:   9 Head to Tail Coordinate View
  27.    wt: 7:   8 Parallel Vectors
  28.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 7:   2 Signed Coordinates
  30.    wt: 7:   1 Unsigned Coordinates
  31.    wt: 7:   Vector and Complex Number Applet
  32.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  33.    wt: 7:   10 Straight Lines through Origin Equations More
  34.    wt: 7:   17 tangent function angle sum formulas
  35.    wt: 7:   30 unit circle calculation of six trigonometric functions
  36.    wt: 7:   29 secant cosecant and cotangent for acute angles
  37.    wt: 7:   25 tangent double angle formula Slope connection
  38.    wt: 7:   24 tangent Angle Difference Formula
  39.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  40.    wt: 7:   21 sine and cosine Half Angle Formulas
  41.    wt: 7:   20 sine and cosine Double Angle Formulas
  42.    wt: 7:   17C sine and cosine double triple angle formulas
  43.    wt: 7:   17A The complex number valued trig function cis
  44.    wt: 7:   12 Graph of tangent function for one period
  45.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  46.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  47.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  48.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  49.    wt: 7:   Unit Circle Development of Trigonometry
  50.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  51.    wt: 7:   15 Pythagorean Theorem Converse
  52.    wt: 7:   13 Trig Formulas for dot and cross Products
  53.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  54.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  55.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  56.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  57.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  58.    wt: 7:   Why Trigonometry the whyslopes view
  59.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  60.    wt: 7:   4 Equations for lines three forms
  61.    wt: 7:   12 Spatial Coordinates
  62.    wt: 7:   4 Polar Coordinates to and from
  63.    wt: 7:   3 Rectangular Coordinates Review
  64.    wt: 7:   2 Cartesian Coordinates with signs
  65.    wt: 7:   1 Cartesian Coordinates sans signs
  66.    wt: 7:   PS H Distributive Law For Complex Numbers
  67.    wt: 7:   PS E Multiplication with Polar Coordinates
  68.    wt: 7:   PS D Addition with Cartesian Coordinates
  69.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  70.    wt: 7:   17 Right Bisectors of Triangle Sides
  71.    wt: 7:   16 Angles Subtended By Chords and Diameters
  72.    wt: 7:   9 Construction of a right bisector
  73.    wt: 7:   2 Correspondence between Triangles
  74.    wt: 7:   Short Course on Euclidean Geometry
  75.    wt: 7:   A Measurement with Ruler Proper Use
  76.    wt: 7:   2 Measuring Area Directly
  77.    wt: 7:   1 Length Measurement
  78.    wt: 6:   16 cotangent function Definition Graph and Inverse
  79.    wt: 6:   15 cosecant function Definition Graph and Inverse
  80.    wt: 6:   14 secant function Definition Graph and Inverse
  81.    wt: 6:   13 cosecant function Definition Graph and Inverse
  82.    wt: 6:   11 arctan left inverse of tangent Graph
  83.    wt: 6:   10 arctan left inverse of tangent Definition
  84.    wt: 6:   8 arcsin left inverse of sine Graph
  85.    wt: 6:   7 arcsin left inverse of sine Definition
  86.    wt: 6:   6 Graph of arccos function
  87.    wt: 6:   3 Left Inverse of cosine arccos definition
  88.    wt: 6:   1 cosine function properties
  89.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  90.    wt: 6:   A Global Time and Navigation
  91.    wt: 6:   15 Dot and Cross Product
  92.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  93.    wt: 6:   12 From Applied To Pure Mathematics
  94.    wt: 6:   11 Component Method
  95.    wt: 6:   10 Parallelogram Addition Method
  96.    wt: 6:   5 Head To Tail Arrow Addition
  97.    wt: 6:   4 Resultant of a Sum of Movements
  98.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  99.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  100.    wt: 6:   Parallel Lines and Interior Angles
  101.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  102.    wt: 6:   Straight Lines ASA Intersection Study More
  103.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  104.    wt: 6:   C Straight Lines Slope from Coordinates
  105.    wt: 6:   B Straight Line Slope Scaling Properties More
  106.    wt: 6:   9 Straight Lines through Origin Equations
  107.    wt: 6:   8 Straight Lines Equation for vertical
  108.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  109.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  110.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  111.    wt: 6:   32 seven rows of pascals triangle
  112.    wt: 6:   31 basic secant cosecant cotangent trig identities
  113.    wt: 6:   28 Expressing products of sines cosines as sums
  114.    wt: 6:   27 Logarithmic use of products of sines and cosines
  115.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  116.    wt: 6:   18 sum of sinusoidal waves as a single wave
  117.    wt: 6:   17F Law of cosines
  118.    wt: 6:   16 Right Triangle Complementary Angle Relations
  119.    wt: 6:   15 sine cosine Complementary Angle Relations
  120.    wt: 6:   14 cosine even and sine and tangent are odd
  121.    wt: 6:   13 Graph of tangent function many periods
  122.    wt: 6:   11 tangent function undefined when terminal side vertical
  123.    wt: 6:   10 Graphs of sines and cosines many periods
  124.    wt: 6:   9 Graphs of sine and cosine over one period
  125.    wt: 6:   8 period of tangent function
  126.    wt: 6:   7 period of sine and cosine
  127.    wt: 6:   2 Quadrant I reference Angles
  128.    wt: 6:   1 Unit Points Reflections Rotations
  129.    wt: 6:   21 Logarithms Powers and Exponentials
  130.    wt: 6:   16 References and Originality Question
  131.    wt: 6:   11 sine and cosine double triple angle formulas
  132.    wt: 6:   9 The complex number valued trig function cis
  133.    wt: 6:   8 Unit Circle Development of Trigonometry
  134.    wt: 6:   1 Rectangular Polar Coordinates Review
  135.    wt: 6:   8 Triangles Cascade Problem Solving
  136.    wt: 6:   7 Trignometric Ratios Unit Circle
  137.    wt: 6:   3 Trigonometric Ratios sine and cosine
  138.    wt: 6:   1 Angle Measurement with Degrees
  139.    wt: 6:   12 Triangles Similarity More Problems
  140.    wt: 6:   4 Similarity Definition with Coordinate
  141.    wt: 6:   3 Similarity by Design with coordinates
  142.    wt: 6:   1 Early Concept of Like or Similar Shapes
  143.    wt: 6:   Four Simple Exercises
  144.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  145.    wt: 6:   8 Mid Point Formula
  146.    wt: 6:   7 Exercises to test skill and concept mastery
  147.    wt: 6:   3 Slope product for perpendicular lines
  148.    wt: 6:   2 point slope equation for a line
  149.    wt: 6:   11 Triangle Inequality
  150.    wt: 6:   8 Distance Between Points on a Line
  151.    wt: 6:   7 Complex Numbers Appetizer
  152.    wt: 6:   6 Polar Multiplication and Rotation
  153.    wt: 6:   5 Cartesian Addition and Translation
  154.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  155.    wt: 6:   PS G Rotation Distributes over Addition
  156.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  157.    wt: 6:   PS B Parallelogram Construction Methods
  158.    wt: 6:   PS A Kite Construction Methods
  159.    wt: 6:   21 Parallelograms
  160.    wt: 6:   19 Right Triangle Similarity
  161.    wt: 6:   18 Triangle Similarity Take 1
  162.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  163.    wt: 6:   14 Parallel Lines Postulate
  164.    wt: 6:   13 Angle Side Angle Failure
  165.    wt: 6:   12 Side Angle Side Failure
  166.    wt: 6:   11 Triangle Construction Fails
  167.    wt: 6:   10 Dropping a perpendicular to line
  168.    wt: 6:   8 Isoceles Triangles
  169.    wt: 6:   7 Angle Side Angle
  170.    wt: 6:   6 Ruler and compass Angle Bisection
  171.    wt: 6:   5 Side Angle Side
  172.    wt: 6:   4 Side Side Side
  173.    wt: 6:   3 Isometry of Triangles Congruence
  174.    wt: 6:   1 Initial Concepts and Terms
  175.    wt: 5:   3 Formula or function graphing exercise
  176.    wt: 5:   8 Notes for instructors or tutors
  177.    wt: 5:   9 Summary Degrees to Radians and back
  178.    wt: 5:   8 Radian Measures of Common Angles
  179.    wt: 5:   7 Radian Measures in special Triangles
  180.    wt: 5:   6 Radian Measure to Degrees
  181.    wt: 5:   5 Degrees to Radian Measure
  182.    wt: 5:   2 Radian Measure Numerical Value of one degree
  183.    wt: 5:   1 Degrees and Radians Introduction
  184.    wt: 5:   4 graphing y=Asin(x c)
  185.    wt: 5:   3 graphing y=f(x c) plus K
  186.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  187.    wt: 5:   1 graphing y=f(x a)
  188.    wt: 5:   Parallel Lines and Parallel Transversals
  189.    wt: 5:   Triangle Angles Sum To 180 Degrees
  190.    wt: 5:   Straight Lines ASA Intersection Study
  191.    wt: 5:   Straight Lines Instersection Solving Equations
  192.    wt: 5:   Straight Lines Intersection of
  193.    wt: 5:   A Straight Line Slope Scaling Properties
  194.    wt: 5:   14 Straight Lines Equations General Case
  195.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  196.    wt: 5:   12 Straight Lines Graphing mx plus b
  197.    wt: 5:   11 Straight Lines Graphing y=mx
  198.    wt: 5:   7 Tangent Function is odd on this domain
  199.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  200.    wt: 5:   5 Tangent Function Graph
  201.    wt: 5:   4 Tangent Function Properties
  202.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  203.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  204.    wt: 5:   1 Straight Lines Slope Concept
  205.    wt: 5:   20 N th Roots of Complex Numbers
  206.    wt: 5:   19 N th Roots of Unity
  207.    wt: 5:   18 Sixth Roots of Unity
  208.    wt: 5:   17 Cube Roots of unity
  209.    wt: 5:   14 Law of cosines
  210.    wt: 5:   7 Second Way to Calculate Products
  211.    wt: 5:   6 Field Properties of Complex Number
  212.    wt: 5:   5 An Easy Proof of the Distributive Law
  213.    wt: 5:   4 Multiplication Properties
  214.    wt: 5:   3 Addition Properties
  215.    wt: 5:   2 Complex Numbers made easier we hope
  216.    wt: 5:   Appetizer A Complex Number Applet
  217.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  218.    wt: 5:   11 Triangle Similarity Missing Side Problem
  219.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  220.    wt: 5:   9 Similarity of Triangles Usual Criteria
  221.    wt: 5:   8 Similarity of Triangles and Polygons
  222.    wt: 5:   7 Translations Rotations Reflections Dilatations
  223.    wt: 5:   6 Geometric Diagrams in Class
  224.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  225.    wt: 5:   2 Similarity By Design
  226.    wt: 5:   12 Links Lessons elsewhere
  227.    wt: 5:   11 A Partial Summary
  228.    wt: 5:   10 Midpoint of [a b] and [b a]
  229.    wt: 5:   6 Intersection of lines by solving linear systems
  230.    wt: 5:   5 Algebraic View of Slopes
  231.    wt: 5:   1 Numerical view of lines and their equations
  232.    wt: 5:   What is and is not here
  233.    wt: 5:   About Folder Contents
  234.    wt: 5:   1 Written work formats for developing and showing skill
  235.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  236.    wt: 4:   9 Set theory term relation possible origins
  237.    wt: 4:   5 Function notation for geometric transformations
  238.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  239.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  240.    wt: 4:   7 Formulas for Roots with Logarithms Derivation
  241.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  242.    wt: 4:   5 Natural Logarithm Calculator Exercises
  243.    wt: 4:   1 Calculator Starter Exercises
  244.    wt: 4:   13 Naming Identifying Formulas with Words
  245.    wt: 4:   3 signed coordinates for maps and planes
  246.    wt: 4:   18 video Count Factors given Prime Factorization
  247.    wt: 4:   15 video Factors of 20 using Prime Factorization
  248.    wt: 4:   G. Written work formats for developing and showing skill
  249.    wt: 3:   formal or informal peer review
  250.    wt: 3:   words for mathematics instructor
  251.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  252.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  253.    wt: 3:   23 Inverse Functions
  254.    wt: 3:   20 Interchanging coordinates a reflection
  255.    wt: 3:   19 Horizontal line rule and method
  256.    wt: 3:   16 Increasing or decreasing on intervals
  257.    wt: 3:   15 Sign analysis of functions
  258.    wt: 3:   12 Function Domain Recognition Exercises
  259.    wt: 3:   8 Set view of relations and functions
  260.    wt: 3:   7 Functions with finite domains
  261.    wt: 3:   6 Set Existence Formation and Notation
  262.    wt: 3:   10 Exponential Growth and Decay Models
  263.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  264.    wt: 3:   5 Proportionality in Equivalent Fractions
  265.    wt: 3:   4 Rates Ratios and Proporitionality
  266.    wt: 3:   3 Proportionality Examples
  267.    wt: 3:   1 What is Proportionality
  268.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  269.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  270.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  271.    wt: 3:   2 More and Less Than for Counts and Measures
  272.    wt: 3:   8 Coordinates for Maps and Planes
  273.    wt: 3:   4 Solving a triangular system exercise
  274.    wt: 3:   2 Essentially one exercises three with solution
  275.    wt: 3:   Formula Usage Show Work Format
  276.    wt: 3:   8 Compound Interest Formula Evaluation
  277.    wt: 3:   7 Compound Interest Formula Introduction
  278.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  279.    wt: 3:   5 Box Volume Formula Example
  280.    wt: 3:   4 Circle Area Formula Example
  281.    wt: 3:   3 Triangle Area Formula Example
  282.    wt: 3:   2 Another Rectangle Area Formula Example
  283.    wt: 3:   1 More and Less Than for Counts and Measures
  284.    wt: 3:   13 GCD from given Prime Factorization
  285.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  286.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  287.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  288.    wt: 3:   8 GCD from Euclidean Algorithm
  289.    wt: 3:   7 GCD and LCM from prime factorization
  290.    wt: 3:   5 Common Divisors 60 45 via Prime
  291.    wt: 3:   4 signed coordinates for regions in space
  292.    wt: 3:   20 Uniqueness of Prime Factorization
  293.    wt: 3:   19 video Prime Factorization Unique
  294.    wt: 3:   17 Identify and Count Factors using Primes
  295.    wt: 3:   16 video Factors of 980 using prime
  296.    wt: 3:   14 video Factors of 24 Take II
  297.    wt: 3:   13 video Factors of 24 using prime
  298.    wt: 3:   10 video Prime Factorization upto 23 squared
  299.    wt: 3:   9 video Prime Factorization upto 19 squared
  300.    wt: 3:   8 video Prime Factorization upto 19
  301.    wt: 3:   7 Calculator Usage Notes and Cautions
  302.    wt: 3:   5 Prime Factorization and a Square Rule
  303.    wt: 3:   4 video Prime Factorization Introduction
  304.    wt: 3:   1 video how Products are bigger than factor
  305.    wt: 3:   6 Multiplication Commutes Order Not Important
  306.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  307.    wt: 3:   Formula Evaluation how to show work
  308.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  309.    wt: 3:   Postscript More on Better Performance
  310.    wt: 3:   Postscript For Better Performance
  311.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  312.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  313.    wt: 3:   Solutions For Arithmetic Exercises
  314.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  315.    wt: 3:   Foreword
  316.    wt: 3:   J. More on written work and showing skill
  317.    wt: 3:   E. When and how to correct errors
  318.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  319.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  320.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  321.    wt: 2:   Maps Plans Drawings
  322.    wt: 2:   02 21 words for teachers
  323.    wt: 2:   Prequel In For A Penny In For A Pound
  324.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  325.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  326.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  327.    wt: 2:   10 Ends values for work study instruction
  328.    wt: 2:   sign monoticity analysis example 4
  329.    wt: 2:   sign monoticity analysis example 3
  330.    wt: 2:   sign monoticity analysis example 2
  331.    wt: 2:   sign monoticity analysis example 1
  332.    wt: 2:   26 Function definitions done and coming
  333.    wt: 2:   22 Square Root function graphically
  334.    wt: 2:   18 Vertical Line Rule and Method
  335.    wt: 2:   17 Function maxima minima and their location
  336.    wt: 2:   14 Surjections Injections Bijections
  337.    wt: 2:   13 From one to one to many to one
  338.    wt: 2:   11 Function Domain Range Source and Targets
  339.    wt: 2:   10 Interval Notation
  340.    wt: 2:   4 Function notation in and beyond mathematics
  341.    wt: 2:   2 Algebraic use of function notation
  342.    wt: 2:   1 Geometric Introduction of Function Notation
  343.    wt: 2:   Introduction Reading Guide
  344.    wt: 2:   10 quadratic exercises
  345.    wt: 2:   8 quadratics backward use of various formulas
  346.    wt: 2:   7 quadratic formulla derivation
  347.    wt: 2:   3 quadratics factoring by inspection
  348.    wt: 2:   1 quadratics graphing exercises
  349.    wt: 2:   11 Growth and Decay in Biology
  350.    wt: 2:   2 Square Root Simplification a prequel
  351.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  352.    wt: 2:   4 Polynomials Long division linear divisor
  353.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  354.    wt: 2:   E Long Division Methods more
  355.    wt: 2:   6 Column Methods for Decimal Multiplication
  356.    wt: 2:   5 Distributive Law for Whole Numbers
  357.    wt: 2:   4 Commutative Law Groups Counting Form
  358.    wt: 2:   1 The Counting Origins of Numbers
  359.    wt: 2:   2 Algebraic View
  360.    wt: 2:   6 Compound Interest Forward and Backwards
  361.    wt: 2:   5 Triangle Area Formula Backwards
  362.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  363.    wt: 2:   3 Linear Equation Literal Solution More
  364.    wt: 2:   5 Greater More Less Than Signs in General
  365.    wt: 2:   3 More and Less Than with Unlike Signs
  366.    wt: 2:   9 Coordinates for Regions in Space
  367.    wt: 2:   More Exercises
  368.    wt: 2:   3 Solving triangular system example
  369.    wt: 2:   1 Essentially One Unknown
  370.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  371.    wt: 2:   11 Volume of Sphere
  372.    wt: 2:   10 Volume of Pyramid
  373.    wt: 2:   9 Volume of Cone
  374.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  375.    wt: 2:   7 Cautious or Safe Set Construction
  376.    wt: 2:   arithmetic videos Real Player Format
  377.    wt: 2:   4 Greater More Less Than Signs in General
  378.    wt: 2:   2 More and Less Than with Unlike Signs
  379.    wt: 2:   5 Square Roots with primes more still
  380.    wt: 2:   4 Square Roots with primes more
  381.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  382.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  383.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  384.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  385.    wt: 2:   6 GCD from Prime
  386.    wt: 2:   4 LCM of 8 and 10 via Prime
  387.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  388.    wt: 2:   2 Least Common Multiple LCM intro via list method
  389.    wt: 2:   1 Least Common Multiples LCM Introduction
  390.    wt: 2:   12 GCD 2700 288 via Prime
  391.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  392.    wt: 2:   4 Counting with Trees Product Rule Take I
  393.    wt: 2:   3 Counting with Tables and Trees II
  394.    wt: 2:   2 Counting with Tables and Trees I
  395.    wt: 2:   1 Counting and Counting Methods I
  396.    wt: 2:   2 signed and unsigned numbers as coordinates
  397.    wt: 2:   7 Converting or Changing Units
  398.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  399.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  400.    wt: 2:   21 Working With Signs
  401.    wt: 2:   21 Reciprocals for Fractions and Wholes
  402.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  403.    wt: 2:   14 Adding and Subtracting with Like Denominators
  404.    wt: 2:   A Associative Law Theorectical Note
  405.    wt: 2:   12 Adding Integers More Examples
  406.    wt: 2:   11 Adding Integers Formulas and Examples
  407.    wt: 2:   10 Integer Multiplication Formulas
  408.    wt: 2:   1 Integers as Coordinates
  409.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  410.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  411.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  412.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  413.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  414.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  415.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  416.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  417.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  418.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  419.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  420.    wt: 2:   12 LCD GCD and LCM using Primes
  421.    wt: 2:   11 Efficient Square Rule Use
  422.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  423.    wt: 2:   3 video Primes and Composites from 9 times table
  424.    wt: 2:   2 Prime and Composites less than 16
  425.    wt: 2:   Long Division Backwards more
  426.    wt: 2:   Long Division forwards and backwards Example 3
  427.    wt: 2:   Long Division forwards and backwards Example 2
  428.    wt: 2:   Long Division forwards and backwards Example 1
  429.    wt: 2:   12 Why Long Division Works Take III
  430.    wt: 2:   11 Another Single Digit Divisor Example
  431.    wt: 2:   10 Division by Five Long and Short Ways
  432.    wt: 2:   9 Why Long Division Works Take II
  433.    wt: 2:   8 Correcting the Mistake
  434.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  435.    wt: 2:   5 Long Division Include Zeroes or not
  436.    wt: 2:   4 Division with 2 Digit Divsors
  437.    wt: 2:   3 Division Single Digit Divisor Example
  438.    wt: 2:   2 Division with Single Digit Divisors
  439.    wt: 2:   A Elementary Basis for Multiplication Methods
  440.    wt: 2:   3 More One Digit Multipliers
  441.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  442.    wt: 2:   5 A Tip for Efficent Subtraction
  443.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  444.    wt: 2:   8 What skills and work habits to require
  445.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  446.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  447.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  448.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  449.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  450.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  451.    wt: 2:   Quick history of numbers and algebra
  452.    wt: 2:   Expression Evaluation how to show work
  453.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  454.    wt: 2:   38 Formulas and derivatives for powers and roots
  455.    wt: 2:   19 Chain Rule for linear functions
  456.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  457.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  458.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  459.    wt: 2:   Foreword
  460.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  461.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  462.    wt: 2:   Chapter 23. Notation For Sums
  463.    wt: 2:   Chapter 19. Functions and Sets
  464.    wt: 2:   Chapter 18. Rules for Algebra
  465.    wt: 2:   Chapter 16. Painless Theorem Proving
  466.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  467.    wt: 2:   Chapter 12. Shorthand Usage Guide
  468.    wt: 2:   Chapter 11. Why Shorthand
  469.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  470.    wt: 2:   Chapter 8 Three Skills For Algebra
  471.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  472.    wt: 2:   Foreword
  473.    wt: 2:   Postscript B More on Story Telling and Reason
  474.    wt: 2:   Foreword
  475.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  476.    wt: 2:   S Adding words to algebra
  477.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  478.    wt: 2:   N Mathematics Prepare for College Studies
  479.    wt: 2:   M Words to extend arithmetic
  480.    wt: 2:   H more Routine to non routine problem solving
  481.    wt: 2:   F. The student teacher tutor feedback loop
  482.    wt: 2:   D. Check work a must with a caution
  483.    wt: 2:   B. Domino effect of errors
  484.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  485.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  486.    wt: 2:   7 Games and Activities for Instruction
  487.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  488.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  489.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  490.    wt: 2:   More Algebra and Slope based Calculus Preview
  491.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  492.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  493.    wt: 1:   J LAMP Introduction Extrinsic Origins
  494.    wt: 1:   Ramblings Extrinsic numbers theory
  495.    wt: 1:   9 combinatorics probability sets
  496.    wt: 1:   5 logarithms and exponentials etc
  497.    wt: 1:   three goals to set for students
  498.    wt: 1:   permissions for teachers
  499.    wt: 1:   Math Ed if it must be short make it lean effective
  500.    wt: 1:   activities for students
  501.    wt: 1:   site origins
  502.    wt: 1:   About site lesson plans
  503.    wt: 1:   Mathematics Education Professors
  504.    wt: 1:   grouping students according to ability
  505.    wt: 1:   Education Reform Inconsistencies
  506.    wt: 1:   geometric implications for algebra
  507.    wt: 1:   teaching tutoring algebraic reason
  508.    wt: 1:   three goals for Mathematics Education
  509.    wt: 1:   04 25 when to stop or suspend mathemat
  510.    wt: 1:   three aims for mathematics students
  511.    wt: 1:   standards for course material
  512.    wt: 1:   Theory of Knowledge
  513.    wt: 1:   Four ways to improve education reform
  514.    wt: 1:   How to be a better instructor
  515.    wt: 1:   need for a mixed mathematics curriculum
  516.    wt: 1:   fairness and inductive principles for instruction
  517.    wt: 1:   3 Like resistors in parallel
  518.    wt: 1:   2 Unlike resistors in parallel01
  519.    wt: 1:   1 Like resistors in series
  520.    wt: 1:   F Unlike Resistors in Series
  521.    wt: 1:   C Electromotive force conventional current02
  522.    wt: 1:   B Electromotive force conventional current01
  523.    wt: 1:   Home Tutoring and Home Schooling
  524.    wt: 1:   24 Standards For Skill Develoment Take II
  525.    wt: 1:   24 Standards For Skill Develoment
  526.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  527.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  528.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  529.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  530.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  531.    wt: 1:   17 Math Booklets for children and young teenagers
  532.    wt: 1:   15 Counting For Parents
  533.    wt: 1:   12 Goals and Objectives For Mathematics
  534.    wt: 1:   11 Help and Defend Your Child or Teens Education
  535.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  536.    wt: 1:   5 Patience Please for Yourself and Your Charges
  537.    wt: 1:   4 Learning Takes Time and Effort
  538.    wt: 1:   3 Preparing for Science Studies
  539.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  540.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  541.    wt: 1:   A Quadratics Summary
  542.    wt: 1:   9 quadratics physical and further context
  543.    wt: 1:   6 quadratics numerical approach
  544.    wt: 1:   5 quadratics completing the square
  545.    wt: 1:   4 quadratics difference of two squares
  546.    wt: 1:   2 quadratics graphing in general
  547.    wt: 1:   Quadratics in 10 steps
  548.    wt: 1:   7 Links Lessons Elsewhere
  549.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  550.    wt: 1:   3 Polynomials Multiplication Addition
  551.    wt: 1:   2 Column Multiplication Method
  552.    wt: 1:   1 Polynomials Distributive Law
  553.    wt: 1:   Rewriting algebraic substitution as function substitutions
  554.    wt: 1:   26 More Less Greater Than Comparison
  555.    wt: 1:   21 Addition of Multiples of a Single Vector
  556.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  557.    wt: 1:   19 Signed Multiples of Vectors
  558.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  559.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  560.    wt: 1:   13 Arrows and Vectors in a Plane
  561.    wt: 1:   12 Real Numbers Line Signed Coordinates
  562.    wt: 1:   D Long Division Methods
  563.    wt: 1:   C Three Decimal Subtraction Methods
  564.    wt: 1:   B Decimal Comparison and Subtraction
  565.    wt: 1:   A Decimal Addition Columm Methods
  566.    wt: 1:   8 Column Multiplication Methods in General
  567.    wt: 1:   7 Decimals Multiplication Methods Examples
  568.    wt: 1:   3 Multiplicative Counting Skills Principles
  569.    wt: 1:   2 Combing Counts Addition Skills and Principles
  570.    wt: 1:   2 Linear Equation Literal Solution
  571.    wt: 1:   1 Changing Calculations
  572.    wt: 1:   6 Equations and Systems Equivalent or Implied
  573.    wt: 1:   3 Product Axioms Two Forms
  574.    wt: 1:   4 Comparison of Negative Numbers
  575.    wt: 1:   1 Real Numbers Comparison
  576.    wt: 1:   12 Real Number Additive Inverses or Negatives
  577.    wt: 1:   7 Real Numbers as Line Cordinates
  578.    wt: 1:   5 Rational Numbers More
  579.    wt: 1:   3 Geometric Formulas and Function Notation
  580.    wt: 1:   1 Formulas Dependence and Function Notation
  581.    wt: 1:   Simple Exercises
  582.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  583.    wt: 1:   6 Algebraic Solution Example
  584.    wt: 1:   5 Algebraic Solutions Introduction
  585.    wt: 1:   4 Four Examples Fractional Coefficients
  586.    wt: 1:   3 Four Examples
  587.    wt: 1:   2 Three Examples
  588.    wt: 1:   1 Proper Equal Sign Usage
  589.    wt: 1:   Using Letters for Physical Quantities
  590.    wt: 1:   9 Sets in Probability and Statistics
  591.    wt: 1:   8 Sets of Numbers
  592.    wt: 1:   6 Power Set Notation
  593.    wt: 1:   5 Product Builder Notation
  594.    wt: 1:   4 Subset Builder Notation
  595.    wt: 1:   3 Counting with Sets etc
  596.    wt: 1:   2 Venn Diagrams
  597.    wt: 1:   1 Finite Sets
  598.    wt: 1:   4 A Brief Story of numbers and algebra
  599.    wt: 1:   3 Adding Words To Arithmetic
  600.    wt: 1:   1 Three Skills For Algebra
  601.    wt: 1:   3 Comparison of Negative Numbers
  602.    wt: 1:   3 Properties of Square Roots with example
  603.    wt: 1:   2 Square Roots with Prime
  604.    wt: 1:   1 Squares and Square Roots Introduction
  605.    wt: 1:   11 What are real lengths and numbers
  606.    wt: 1:   10 dividing signed numbers
  607.    wt: 1:   9 subtracting signed numbers
  608.    wt: 1:   8 multiplying signed numbers
  609.    wt: 1:   7 negative and additive inverse
  610.    wt: 1:   6 adding signed numbers
  611.    wt: 1:   5 lengths and signs of numbers
  612.    wt: 1:   6 Simplification of Fractions with Units
  613.    wt: 1:   4 Fractions with Units
  614.    wt: 1:   3 Multiplying Units and Numbers
  615.    wt: 1:   2 Equality and Units
  616.    wt: 1:   1 Addition and Subtraction with Units
  617.    wt: 1:   D Three Term Ratios
  618.    wt: 1:   B Fractions and Two Term Ratios
  619.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  620.    wt: 1:   22 Complex Compound Fractions
  621.    wt: 1:   20 Dividing Fractions the Why
  622.    wt: 1:   19 Dividing Fractions How TO
  623.    wt: 1:   18 Efficient Ways to Multiply
  624.    wt: 1:   17 Efficient Ways to Add and Subtract
  625.    wt: 1:   16 Addition Subtraction Comparision Compared
  626.    wt: 1:   13 Fraction Comparison Algebraic View
  627.    wt: 1:   12 Fraction Comparison
  628.    wt: 1:   11 Simplification an Algebraic View
  629.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  630.    wt: 1:   9 Improper Fractions and Mixed Numbers
  631.    wt: 1:   8 Numerals Fractionals Quantals Take II
  632.    wt: 1:   7 Numerals Fractionals Quantals
  633.    wt: 1:   6 Multiplication of Mixed Numbers
  634.    wt: 1:   6 Multiplication Algebraically Take II
  635.    wt: 1:   5 Equivalent Fractions
  636.    wt: 1:   4 Fraction Multiplication
  637.    wt: 1:   3 Unit fraction of a fraction
  638.    wt: 1:   2 Unit Fraction Multiplication
  639.    wt: 1:   1 What is a fraction Take II
  640.    wt: 1:   1 What is a fraction
  641.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  642.    wt: 1:   D Remainders Modulo 11 Pair Rule
  643.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  644.    wt: 1:   B Integer Long Division Multiple Choices
  645.    wt: 1:   13 Subtraction with Additive Inverse
  646.    wt: 1:   9 Multiplying Integers
  647.    wt: 1:   8 Multiplication by Signed Numbers Integers
  648.    wt: 1:   7 Multiplication by Signs
  649.    wt: 1:   6 Multiplication by Natural Numbers
  650.    wt: 1:   5 Zero Movement and Additive Inverses
  651.    wt: 1:   4 Adding Movements wiht opposite directions
  652.    wt: 1:   3 Adding Movements with same direction
  653.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  654.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  655.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  656.    wt: 1:   26 Divisibility by 2 3 5 Example
  657.    wt: 1:   23 Remainder Arithmetic Modulo 2
  658.    wt: 1:   21 Remainder Arithmetic Modulo 3
  659.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  660.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  661.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  662.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  663.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  664.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  665.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  666.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  667.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  668.    wt: 1:   5 Remainder Arithmetic Modulo 5
  669.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  670.    wt: 1:   1 Remainder Arithmetic Modulo 10
  671.    wt: 1:   Long Division Backward
  672.    wt: 1:   Division with Counts and Length
  673.    wt: 1:   7 Long Divison Mistake Catching
  674.    wt: 1:   1 Divsion Physical Examples
  675.    wt: 1:   D Decimal Multiplication Methods Derived
  676.    wt: 1:   C Counting Areas with Powers of Ten
  677.    wt: 1:   B Powers of Ten
  678.    wt: 1:   5 Decimal Fraction Multiplication
  679.    wt: 1:   4 Two and Three Digit Multipliers
  680.    wt: 1:   2 One Digit Multipliers
  681.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  682.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  683.    wt: 1:   Video Power Notation in Decimal Expansion
  684.    wt: 1:   1 Why 3 times 5 gives 15
  685.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  686.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  687.    wt: 1:   Subtraction with J Conversions Example
  688.    wt: 1:   Subtraction Another Video Lesson
  689.    wt: 1:   9 22 Minute Subtraction Review Video
  690.    wt: 1:   8 Subtraction with Units of Measure
  691.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  692.    wt: 1:   2 Subtraction Easy Case Examples
  693.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  694.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  695.    wt: 1:   7 Adding decimal fractions using decimal point
  696.    wt: 1:   6. Counting and adding units and mixed units
  697.    wt: 1:   5. How to add decimals C. Examples
  698.    wt: 1:   4. How to add with decimals B with conversions
  699.    wt: 1:   3. How to add with decimals A sans conversions
  700.    wt: 1:   2 Decimal Counting Practices
  701.    wt: 1:   1. Explaining Addition Table
  702.    wt: 1:   11 Place Value SI Standard International way
  703.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  704.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  705.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  706.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  707.    wt: 1:   Exact Arithmetic Wholes and Fractions
  708.    wt: 1:   The 20 Times Table
  709.    wt: 1:   The 12 Times Table Visually
  710.    wt: 1:   About folder contents
  711.    wt: 1:   015 School and work day counting tables
  712.    wt: 1:   5 Area Under Curve Exercise
  713.    wt: 1:   4 Definite Integrals Evaluation Exercises
  714.    wt: 1:   3 Two Chain Rule Method Exercises
  715.    wt: 1:   2 Indefinite Integrals Exercises
  716.    wt: 1:   4 Second derivative test exercise example
  717.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  718.    wt: 1:   34 Derivative of exponential function
  719.    wt: 1:   31 Derivatives of inverse functions
  720.    wt: 1:   28 Chain Rule Preparation for a Proof
  721.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  722.    wt: 1:   26 Chain Rule Recognising outer inner functions
  723.    wt: 1:   22 Chain Rule for polynomials
  724.    wt: 1:   21 Chain Rule for powers
  725.    wt: 1:   20 Chain Rule for Pulley Systems
  726.    wt: 1:   10 Power rule for negative integers
  727.    wt: 1:   3 Motivation for Limit Definition Take 2
  728.    wt: 1:   2 Motivation for Limit Definition Take 1
  729.    wt: 1:   7 Evaluation by immediate or delayed substitution
  730.    wt: 1:   5 Jumps and absence of unlimited error control
  731.    wt: 1:   3 Decimal insights for limits continuity convergence
  732.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  733.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  734.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  735.    wt: 1:   G.3 Constant Difference Theorem Proof
  736.    wt: 1:   F.5b Extreme Value Theorem
  737.    wt: 1:   F.5a Equicontinuity Theorems
  738.    wt: 1:   F.4 Finite Covering Theorem
  739.    wt: 1:   F.3 Intermediate Value Theorem
  740.    wt: 1:   F.2 Closed Range Theorem
  741.    wt: 1:   F.1 What Functions are Continuous
  742.    wt: 1:   E1 Error Control Inequalities
  743.    wt: 1:   B3 Bolzano Weierstrass Theorem
  744.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  745.    wt: 1:   PostScript For and Against Decimal Perspectives
  746.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  747.    wt: 1:   Chapter 23 Links To Trigonometry
  748.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  749.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  750.    wt: 1:   Chapter 4. More Slope Sign Analysis
  751.    wt: 1:   Appendix E. How To Study Mathematics and Why
  752.    wt: 1:   Appendix D. What to do in School and Why
  753.    wt: 1:   Appendix C. How to Read
  754.    wt: 1:   Appendix B. How To Learn
  755.    wt: 1:   Chapter 31 Direct and Indirect Reason
  756.    wt: 1:   Chapter 30 Truth Tables
  757.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  758.    wt: 1:   Chapter 28 Occurrence Tables
  759.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  760.    wt: 1:   Chapter 25. Mathematical Induction Examples
  761.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  762.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  763.    wt: 1:   Chapter 21. Third Reading Guide
  764.    wt: 1:   Chapter 20. Degrees and Radians
  765.    wt: 1:   Chapter 15. Solving Linear Equations
  766.    wt: 1:   Chapter 13. Second Reading Guide
  767.    wt: 1:   Chapter 10 Describing and Changing Calculations
  768.    wt: 1:   Postscript What is a Variable
  769.    wt: 1:   Chapter 6 Change of Language
  770.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  771.    wt: 1:   Chapter 4 Longer Chains of Reason
  772.    wt: 1:   Chapter 3 Chains of Reason
  773.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  774.    wt: 1:   Chapter 2 For and Against Mathematics
  775.    wt: 1:   Postscript C Consistency as a Tool for Reason
  776.    wt: 1:   Postscript A Story Telling
  777.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  778.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  779.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  780.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  781.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  782.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  783.    wt: 1:   R Why Learn Mathematics Skills
  784.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  785.    wt: 1:   O On Learning Mathematics and Science
  786.    wt: 1:   L Skills with take home value
  787.    wt: 1:   N Improving Marks on Tests and Finals
  788.    wt: 1:   I. Logic and language skills
  789.    wt: 1:   H Jigsaw puzzles and problem solving
  790.    wt: 1:   C. Domino effect of being careful
  791.    wt: 1:   A. Skill has to be seen to believed
  792.    wt: 1:   How to Build Skills and Confidence
  793.    wt: 1:   Chapter 6 More Algebra and Geometry
  794.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  795.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  796.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  797.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  798.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  799.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  800.    wt: 1:   Helping the Blind in Logic and Mathematics
  801.    wt: 1:   Mathematics Education References
  802.    wt: 1:   Mathematics Education References
  803.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  804.    wt: 1:   Implementation Notes
  805.    wt: 1:   Systematic Algebra Skill Development Missing Links
  806.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  807.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  808.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  809.    wt: 1:   Which Way To Go
  810.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  811.    wt: 1:   The Math Forum and Site Content
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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