Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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.

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

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445 matches:

  1.    wt: 4:   11 Help and Defend Your Child or Teens Education
  2.    wt: 4:   8 Notes for instructors or tutors
  3.    wt: 3:   04 25 when to stop or suspend mathemat
  4.    wt: 3:   formal or informal peer review
  5.    wt: 3:   words for mathematics instructor
  6.    wt: 3:   17 Math Booklets for children and young teenagers
  7.    wt: 3:   5 Patience Please for Yourself and Your Charges
  8.    wt: 3:   13 From one to one to many to one
  9.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  10.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  11.    wt: 3:   Formula Usage Show Work Format
  12.    wt: 3:   1 Written work formats for developing and showing skill
  13.    wt: 3:   Formula Evaluation how to show work
  14.    wt: 3:   G. Written work formats for developing and showing skill
  15.    wt: 3:   E. When and how to correct errors
  16.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  17.    wt: 2:   three goals to set for students
  18.    wt: 2:   grouping students according to ability
  19.    wt: 2:   talk the algebra talk
  20.    wt: 2:   02 21 words for teachers
  21.    wt: 2:   Four ways to improve education reform
  22.    wt: 2:   How to be a better instructor
  23.    wt: 2:   Prequel In For A Penny In For A Pound
  24.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  25.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  26.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  27.    wt: 2:   10 Ends values for work study instruction
  28.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  29.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  30.    wt: 2:   9 Set theory term relation possible origins
  31.    wt: 2:   5 Function notation for geometric transformations
  32.    wt: 2:   3 Formula or function graphing exercise
  33.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  34.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  35.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  36.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  37.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  38.    wt: 2:   9 Head to Tail Coordinate View
  39.    wt: 2:   6 Vectors with Coordinates
  40.    wt: 2:   3 Navigation with Arrows or Vectors
  41.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  42.    wt: 2:   10 Straight Lines through Origin Equations More
  43.    wt: 2:   26 Formulas for products of sines and cosines
  44.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  45.    wt: 2:   17G Pythagorean Theorem Converse
  46.    wt: 2:   17E Trig Formulas for dot and cross Products
  47.    wt: 2:   17D cis formulas for sine cosines and tangent
  48.    wt: 2:   15 Pythagorean Theorem Converse
  49.    wt: 2:   13 Trig Formulas for dot and cross Products
  50.    wt: 2:   12 cis formulas for sine cosines and tangent
  51.    wt: 2:   4 Equations for lines three forms
  52.    wt: 2:   13 Pythagorean spatial distance formulas
  53.    wt: 2:   10 Pythagorean plane distance formula
  54.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  55.    wt: 2:   4 Polar Coordinates to and from
  56.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  57.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  58.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  59.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  60.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  61.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  62.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  63.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  64.    wt: 2:   2 More and Less Than for Counts and Measures
  65.    wt: 2:   9 Coordinates for Regions in Space
  66.    wt: 2:   8 Coordinates for Maps and Planes
  67.    wt: 2:   13 Naming Identifying Formulas with Words
  68.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  69.    wt: 2:   3 Adding Words To Arithmetic
  70.    wt: 2:   1 More and Less Than for Counts and Measures
  71.    wt: 2:   4 signed coordinates for regions in space
  72.    wt: 2:   3 signed coordinates for maps and planes
  73.    wt: 2:   18 video Count Factors given Prime Factorization
  74.    wt: 2:   15 video Factors of 20 using Prime Factorization
  75.    wt: 2:   10 video Prime Factorization upto 23 squared
  76.    wt: 2:   9 video Prime Factorization upto 19 squared
  77.    wt: 2:   8 video Prime Factorization upto 19
  78.    wt: 2:   6 Multiplication Commutes Order Not Important
  79.    wt: 2:   8 What skills and work habits to require
  80.    wt: 2:   Expression Evaluation how to show work
  81.    wt: 2:   38 Formulas and derivatives for powers and roots
  82.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  83.    wt: 2:   Foreword
  84.    wt: 2:   Postscript More on Better Performance
  85.    wt: 2:   Postscript For Better Performance
  86.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  87.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  88.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  89.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  90.    wt: 2:   Foreword
  91.    wt: 2:   Foreword
  92.    wt: 2:   Postscript C Consistency as a Tool for Reason
  93.    wt: 2:   Postscript B More on Story Telling and Reason
  94.    wt: 2:   Foreword
  95.    wt: 2:   S Adding words to algebra
  96.    wt: 2:   M Words to extend arithmetic
  97.    wt: 2:   J. More on written work and showing skill
  98.    wt: 2:   H more Routine to non routine problem solving
  99.    wt: 2:   A. Skill has to be seen to believed
  100.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  101.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  102.    wt: 1:   J LAMP Introduction Extrinsic Origins
  103.    wt: 1:   Ramblings Extrinsic numbers theory
  104.    wt: 1:   9 combinatorics probability sets
  105.    wt: 1:   which way to go
  106.    wt: 1:   permissions for teachers
  107.    wt: 1:   Math Ed if it must be short make it lean effective
  108.    wt: 1:   activities for students
  109.    wt: 1:   site origins
  110.    wt: 1:   Mathematics Education Professors
  111.    wt: 1:   Education Reform Inconsistencies
  112.    wt: 1:   What to Tell Students
  113.    wt: 1:   geometric implications for algebra
  114.    wt: 1:   teaching tutoring algebraic reason
  115.    wt: 1:   three goals for Mathematics Education
  116.    wt: 1:   05 13 OldSiteEntrancePage
  117.    wt: 1:   three aims for mathematics students
  118.    wt: 1:   standards for course material
  119.    wt: 1:   Operational Viewpoint to Value
  120.    wt: 1:   Theory of Knowledge
  121.    wt: 1:   need for a mixed mathematics curriculum
  122.    wt: 1:   fairness and inductive principles for instruction
  123.    wt: 1:   3 Like resistors in parallel
  124.    wt: 1:   2 Unlike resistors in parallel01
  125.    wt: 1:   1 Like resistors in series
  126.    wt: 1:   F Unlike Resistors in Series
  127.    wt: 1:   C Electromotive force conventional current02
  128.    wt: 1:   B Electromotive force conventional current01
  129.    wt: 1:   Home Tutoring and Home Schooling
  130.    wt: 1:   24 Standards For Skill Develoment Take II
  131.    wt: 1:   24 Standards For Skill Develoment
  132.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  133.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  134.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  135.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  136.    wt: 1:   22 Student Centered Highschool Mathematics
  137.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  138.    wt: 1:   15 Counting For Parents
  139.    wt: 1:   12 Goals and Objectives For Mathematics
  140.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  141.    wt: 1:   4 Learning Takes Time and Effort
  142.    wt: 1:   3 Preparing for Science Studies
  143.    wt: 1:   Ages 12 to 14 Skills with take home value
  144.    wt: 1:   Ages 12 to 14 Geometry
  145.    wt: 1:   Ages 12 to 14 Arithmetic
  146.    wt: 1:   Ages 10 to 12 Geometry
  147.    wt: 1:   Ages 10 to 12 Arithmetic
  148.    wt: 1:   Ages 9 to 10
  149.    wt: 1:   Ages 8 to 9
  150.    wt: 1:   Ages 7 to 8
  151.    wt: 1:   Ages 6 to 7
  152.    wt: 1:   Ages 4 plus to 5 plus
  153.    wt: 1:   Ages 3 plus to 4 plus
  154.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  155.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  156.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  157.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  158.    wt: 1:   20 Interchanging coordinates a reflection
  159.    wt: 1:   19 Horizontal line rule and method
  160.    wt: 1:   16 Increasing or decreasing on intervals
  161.    wt: 1:   6 Set Existence Formation and Notation
  162.    wt: 1:   8 quadratics backward use of various formulas
  163.    wt: 1:   7 quadratic formulla derivation
  164.    wt: 1:   3 quadratics factoring by inspection
  165.    wt: 1:   5 Natural Logarithm Calculator Exercises
  166.    wt: 1:   1 Calculator Starter Exercises
  167.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  168.    wt: 1:   4 Polynomials Long division linear divisor
  169.    wt: 1:   12 motivation for term arctan
  170.    wt: 1:   9 motivation for name arcsin
  171.    wt: 1:   5 Swapping Coordinates is a reflection
  172.    wt: 1:   4 possible motivation for term arccos
  173.    wt: 1:   2 cosine function more properties
  174.    wt: 1:   9 Summary Degrees to Radians and back
  175.    wt: 1:   6 Radian Measure to Degrees
  176.    wt: 1:   5 Degrees to Radian Measure
  177.    wt: 1:   13 Velocity Vectors in Physics
  178.    wt: 1:   12 From Applied To Pure Mathematics
  179.    wt: 1:   8 Parallel Vectors
  180.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  181.    wt: 1:   5 Head To Tail Arrow Addition
  182.    wt: 1:   2 Signed Coordinates
  183.    wt: 1:   1 Unsigned Coordinates
  184.    wt: 1:   Vector and Complex Number Applet
  185.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  186.    wt: 1:   Triangle Angles Sum To 180 Degrees
  187.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  188.    wt: 1:   Parallel Lines and Interior Angles
  189.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  190.    wt: 1:   Straight Lines ASA Intersection Study More
  191.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  192.    wt: 1:   C Straight Lines Slope from Coordinates
  193.    wt: 1:   B Straight Line Slope Scaling Properties More
  194.    wt: 1:   9 Straight Lines through Origin Equations
  195.    wt: 1:   8 Straight Lines Equation for vertical
  196.    wt: 1:   17 tangent function angle sum formulas
  197.    wt: 1:   29 secant cosecant and cotangent for acute angles
  198.    wt: 1:   25 tangent double angle formula Slope connection
  199.    wt: 1:   24 tangent Angle Difference Formula
  200.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  201.    wt: 1:   21 sine and cosine Half Angle Formulas
  202.    wt: 1:   20 sine and cosine Double Angle Formulas
  203.    wt: 1:   17C sine and cosine double triple angle formulas
  204.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  205.    wt: 1:   12 Graph of tangent function for one period
  206.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  207.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  208.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  209.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  210.    wt: 1:   16 References and Originality Question
  211.    wt: 1:   11 sine and cosine double triple angle formulas
  212.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  213.    wt: 1:   7 Second Way to Calculate Products
  214.    wt: 1:   1 Rectangular Polar Coordinates Review
  215.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  216.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  217.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  218.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  219.    wt: 1:   12 Triangles Similarity More Problems
  220.    wt: 1:   4 Similarity Definition with Coordinate
  221.    wt: 1:   3 Similarity by Design with coordinates
  222.    wt: 1:   1 Early Concept of Like or Similar Shapes
  223.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  224.    wt: 1:   8 Mid Point Formula
  225.    wt: 1:   7 Exercises to test skill and concept mastery
  226.    wt: 1:   3 Slope product for perpendicular lines
  227.    wt: 1:   2 point slope equation for a line
  228.    wt: 1:   12 Spatial Coordinates
  229.    wt: 1:   3 Rectangular Coordinates Review
  230.    wt: 1:   2 Cartesian Coordinates with signs
  231.    wt: 1:   1 Cartesian Coordinates sans signs
  232.    wt: 1:   PS H Distributive Law For Complex Numbers
  233.    wt: 1:   PS E Multiplication with Polar Coordinates
  234.    wt: 1:   PS D Addition with Cartesian Coordinates
  235.    wt: 1:   17 Right Bisectors of Triangle Sides
  236.    wt: 1:   16 Angles Subtended By Chords and Diameters
  237.    wt: 1:   10 Dropping a perpendicular to line
  238.    wt: 1:   9 Construction of a right bisector
  239.    wt: 1:   2 Correspondence between Triangles
  240.    wt: 1:   Short Course on Euclidean Geometry
  241.    wt: 1:   6 Figuring with Maps Not to Scale
  242.    wt: 1:   4 Angles on Maps Plans drawn to scale
  243.    wt: 1:   26 More Less Greater Than Comparison
  244.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  245.    wt: 1:   21 Addition of Multiples of a Single Vector
  246.    wt: 1:   19 Signed Multiples of Vectors
  247.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  248.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  249.    wt: 1:   15 Head to Tails in place Addition Associative
  250.    wt: 1:   13 Arrows and Vectors in a Plane
  251.    wt: 1:   12 Real Numbers Line Signed Coordinates
  252.    wt: 1:   E Long Division Methods more
  253.    wt: 1:   6 Column Methods for Decimal Multiplication
  254.    wt: 1:   5 Distributive Law for Whole Numbers
  255.    wt: 1:   4 Commutative Law Groups Counting Form
  256.    wt: 1:   1 The Counting Origins of Numbers
  257.    wt: 1:   5 Proportionality in Equivalent Fractions
  258.    wt: 1:   4 Rates Ratios and Proporitionality
  259.    wt: 1:   3 Proportionality Examples
  260.    wt: 1:   1 What is Proportionality
  261.    wt: 1:   6 Compound Interest Forward and Backwards
  262.    wt: 1:   5 Triangle Area Formula Backwards
  263.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  264.    wt: 1:   3 Linear Equation Literal Solution More
  265.    wt: 1:   6 Equations and Systems Equivalent or Implied
  266.    wt: 1:   3 Product Axioms Two Forms
  267.    wt: 1:   5 Greater More Less Than Signs in General
  268.    wt: 1:   3 More and Less Than with Unlike Signs
  269.    wt: 1:   12 Real Number Additive Inverses or Negatives
  270.    wt: 1:   7 Real Numbers as Line Cordinates
  271.    wt: 1:   5 Rational Numbers More
  272.    wt: 1:   3 Geometric Formulas and Function Notation
  273.    wt: 1:   1 Formulas Dependence and Function Notation
  274.    wt: 1:   More Exercises
  275.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  276.    wt: 1:   Using Letters for Physical Quantities
  277.    wt: 1:   8 Compound Interest Formula Evaluation
  278.    wt: 1:   7 Compound Interest Formula Introduction
  279.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  280.    wt: 1:   5 Box Volume Formula Example
  281.    wt: 1:   4 Circle Area Formula Example
  282.    wt: 1:   3 Triangle Area Formula Example
  283.    wt: 1:   2 Another Rectangle Area Formula Example
  284.    wt: 1:   7 Cautious or Safe Set Construction
  285.    wt: 1:   5 Talking about Numbers and Quantities
  286.    wt: 1:   4 A Brief Story of numbers and algebra
  287.    wt: 1:   1 Three Skills For Algebra
  288.    wt: 1:   arithmetic videos Real Player Format
  289.    wt: 1:   4 Greater More Less Than Signs in General
  290.    wt: 1:   2 More and Less Than with Unlike Signs
  291.    wt: 1:   5 Square Roots with primes more still
  292.    wt: 1:   4 Square Roots with primes more
  293.    wt: 1:   13 GCD from given Prime Factorization
  294.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  295.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  296.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  297.    wt: 1:   8 GCD from Euclidean Algorithm
  298.    wt: 1:   7 GCD and LCM from prime factorization
  299.    wt: 1:   5 Common Divisors 60 45 via Prime
  300.    wt: 1:   2 signed and unsigned numbers as coordinates
  301.    wt: 1:   7 Converting or Changing Units
  302.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  303.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  304.    wt: 1:   21 Working With Signs
  305.    wt: 1:   21 Reciprocals for Fractions and Wholes
  306.    wt: 1:   19 Dividing Fractions How TO
  307.    wt: 1:   18 Efficient Ways to Multiply
  308.    wt: 1:   17 Efficient Ways to Add and Subtract
  309.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  310.    wt: 1:   14 Adding and Subtracting with Like Denominators
  311.    wt: 1:   A Associative Law Theorectical Note
  312.    wt: 1:   12 Adding Integers More Examples
  313.    wt: 1:   11 Adding Integers Formulas and Examples
  314.    wt: 1:   10 Integer Multiplication Formulas
  315.    wt: 1:   1 Integers as Coordinates
  316.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  317.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  318.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  319.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  320.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  321.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  322.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  323.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  324.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  325.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  326.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  327.    wt: 1:   20 Uniqueness of Prime Factorization
  328.    wt: 1:   19 video Prime Factorization Unique
  329.    wt: 1:   17 Identify and Count Factors using Primes
  330.    wt: 1:   16 video Factors of 980 using prime
  331.    wt: 1:   14 video Factors of 24 Take II
  332.    wt: 1:   13 video Factors of 24 using prime
  333.    wt: 1:   7 Calculator Usage Notes and Cautions
  334.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  335.    wt: 1:   5 Prime Factorization and a Square Rule
  336.    wt: 1:   4 video Prime Factorization Introduction
  337.    wt: 1:   1 video how Products are bigger than factor
  338.    wt: 1:   Long Division Backwards more
  339.    wt: 1:   Long Division forwards and backwards Example 3
  340.    wt: 1:   Long Division forwards and backwards Example 2
  341.    wt: 1:   Long Division forwards and backwards Example 1
  342.    wt: 1:   12 Why Long Division Works Take III
  343.    wt: 1:   11 Another Single Digit Divisor Example
  344.    wt: 1:   10 Division by Five Long and Short Ways
  345.    wt: 1:   9 Why Long Division Works Take II
  346.    wt: 1:   8 Correcting the Mistake
  347.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  348.    wt: 1:   5 Long Division Include Zeroes or not
  349.    wt: 1:   4 Division with 2 Digit Divsors
  350.    wt: 1:   3 Division Single Digit Divisor Example
  351.    wt: 1:   2 Division with Single Digit Divisors
  352.    wt: 1:   A Elementary Basis for Multiplication Methods
  353.    wt: 1:   3 More One Digit Multipliers
  354.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  355.    wt: 1:   5 A Tip for Efficent Subtraction
  356.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  357.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  358.    wt: 1:   5. How to add decimals C. Examples
  359.    wt: 1:   4. How to add with decimals B with conversions
  360.    wt: 1:   3. How to add with decimals A sans conversions
  361.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  362.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  363.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  364.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  365.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  366.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  367.    wt: 1:   Quick history of numbers and algebra
  368.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  369.    wt: 1:   015 School and work day counting tables
  370.    wt: 1:   8 Addition of Time Intervals via subtotaling
  371.    wt: 1:   1 Intro of Kids To Time Date Skills
  372.    wt: 1:   28 Chain Rule Preparation for a Proof
  373.    wt: 1:   22 Chain Rule for polynomials
  374.    wt: 1:   21 Chain Rule for powers
  375.    wt: 1:   20 Chain Rule for Pulley Systems
  376.    wt: 1:   19 Chain Rule for linear functions
  377.    wt: 1:   10 Power rule for negative integers
  378.    wt: 1:   3 Motivation for Limit Definition Take 2
  379.    wt: 1:   2 Motivation for Limit Definition Take 1
  380.    wt: 1:   7 Evaluation by immediate or delayed substitution
  381.    wt: 1:   5 Jumps and absence of unlimited error control
  382.    wt: 1:   3 Decimal insights for limits continuity convergence
  383.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  384.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  385.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  386.    wt: 1:   G.3 Constant Difference Theorem Proof
  387.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  388.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  389.    wt: 1:   F.5b Extreme Value Theorem
  390.    wt: 1:   F.5a Equicontinuity Theorems
  391.    wt: 1:   F.4 Finite Covering Theorem
  392.    wt: 1:   F.3 Intermediate Value Theorem
  393.    wt: 1:   F.2 Closed Range Theorem
  394.    wt: 1:   E1 Error Control Inequalities
  395.    wt: 1:   D2 Limits of Monotone Sequences
  396.    wt: 1:   B3 Bolzano Weierstrass Theorem
  397.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  398.    wt: 1:   PostScript For and Against Decimal Perspectives
  399.    wt: 1:   Chapter 23 Links To Trigonometry
  400.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  401.    wt: 1:   Chapter 4. More Slope Sign Analysis
  402.    wt: 1:   Appendix E. How To Study Mathematics and Why
  403.    wt: 1:   Appendix D. What to do in School and Why
  404.    wt: 1:   Appendix C. How to Read
  405.    wt: 1:   Appendix B. How To Learn
  406.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  407.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  408.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  409.    wt: 1:   Chapter 23. Notation For Sums
  410.    wt: 1:   Chapter 18. Rules for Algebra
  411.    wt: 1:   Chapter 16. Painless Theorem Proving
  412.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  413.    wt: 1:   Chapter 12. Shorthand Usage Guide
  414.    wt: 1:   Chapter 11. Why Shorthand
  415.    wt: 1:   Chapter 8 Three Skills For Algebra
  416.    wt: 1:   Solutions For Arithmetic Exercises
  417.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  418.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  419.    wt: 1:   Annotated Links to Material Elsehwere
  420.    wt: 1:   Chapter 2 For and Against Mathematics
  421.    wt: 1:   Postscript A Story Telling
  422.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  423.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  424.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  425.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  426.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  427.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  428.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  429.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  430.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  431.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  432.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  433.    wt: 1:   N Mathematics Prepare for College Studies
  434.    wt: 1:   F. The student teacher tutor feedback loop
  435.    wt: 1:   D. Check work a must with a caution
  436.    wt: 1:   B. Domino effect of errors
  437.    wt: 1:   How to Build Skills and Confidence
  438.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  439.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  440.    wt: 1:   More Algebra and Slope based Calculus Preview
  441.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  442.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  443.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  444.    wt: 1:   Which Way To Go
  445.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

815 matches:

  1.    wt: 6:   11 Help and Defend Your Child or Teens Education
  2.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  3.    wt: 5:   17 Math Booklets for children and young teenagers
  4.    wt: 5:   5 Patience Please for Yourself and Your Charges
  5.    wt: 5:   8 Notes for instructors or tutors
  6.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  7.    wt: 5:   1 Written work formats for developing and showing skill
  8.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  9.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  10.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  11.    wt: 4:   10 Ends values for work study instruction
  12.    wt: 4:   13 From one to one to many to one
  13.    wt: 4:   9 Summary Degrees to Radians and back
  14.    wt: 4:   6 Radian Measure to Degrees
  15.    wt: 4:   5 Degrees to Radian Measure
  16.    wt: 4:   9 Head to Tail Coordinate View
  17.    wt: 4:   6 Vectors with Coordinates
  18.    wt: 4:   3 Navigation with Arrows or Vectors
  19.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  20.    wt: 4:   13 Pythagorean spatial distance formulas
  21.    wt: 4:   10 Pythagorean plane distance formula
  22.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  23.    wt: 4:   4 Polar Coordinates to and from
  24.    wt: 4:   13 Naming Identifying Formulas with Words
  25.    wt: 4:   18 video Count Factors given Prime Factorization
  26.    wt: 4:   15 video Factors of 20 using Prime Factorization
  27.    wt: 4:   10 video Prime Factorization upto 23 squared
  28.    wt: 4:   9 video Prime Factorization upto 19 squared
  29.    wt: 4:   8 video Prime Factorization upto 19
  30.    wt: 4:   Formula Evaluation how to show work
  31.    wt: 4:   G. Written work formats for developing and showing skill
  32.    wt: 4:   E. When and how to correct errors
  33.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  34.    wt: 3:   04 25 when to stop or suspend mathemat
  35.    wt: 3:   formal or informal peer review
  36.    wt: 3:   words for mathematics instructor
  37.    wt: 3:   Home Tutoring and Home Schooling
  38.    wt: 3:   24 Standards For Skill Develoment Take II
  39.    wt: 3:   24 Standards For Skill Develoment
  40.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  41.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  42.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  43.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  44.    wt: 3:   22 Student Centered Highschool Mathematics
  45.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  46.    wt: 3:   15 Counting For Parents
  47.    wt: 3:   12 Goals and Objectives For Mathematics
  48.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  49.    wt: 3:   4 Learning Takes Time and Effort
  50.    wt: 3:   3 Preparing for Science Studies
  51.    wt: 3:   9 Set theory term relation possible origins
  52.    wt: 3:   5 Function notation for geometric transformations
  53.    wt: 3:   3 Formula or function graphing exercise
  54.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  55.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  56.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  57.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  58.    wt: 3:   12 motivation for term arctan
  59.    wt: 3:   9 motivation for name arcsin
  60.    wt: 3:   5 Swapping Coordinates is a reflection
  61.    wt: 3:   4 possible motivation for term arccos
  62.    wt: 3:   2 cosine function more properties
  63.    wt: 3:   8 Radian Measures of Common Angles
  64.    wt: 3:   7 Radian Measures in special Triangles
  65.    wt: 3:   2 Radian Measure Numerical Value of one degree
  66.    wt: 3:   1 Degrees and Radians Introduction
  67.    wt: 3:   13 Velocity Vectors in Physics
  68.    wt: 3:   12 From Applied To Pure Mathematics
  69.    wt: 3:   8 Parallel Vectors
  70.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  71.    wt: 3:   5 Head To Tail Arrow Addition
  72.    wt: 3:   2 Signed Coordinates
  73.    wt: 3:   1 Unsigned Coordinates
  74.    wt: 3:   Vector and Complex Number Applet
  75.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  76.    wt: 3:   10 Straight Lines through Origin Equations More
  77.    wt: 3:   26 Formulas for products of sines and cosines
  78.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  79.    wt: 3:   17G Pythagorean Theorem Converse
  80.    wt: 3:   17E Trig Formulas for dot and cross Products
  81.    wt: 3:   17D cis formulas for sine cosines and tangent
  82.    wt: 3:   15 Pythagorean Theorem Converse
  83.    wt: 3:   13 Trig Formulas for dot and cross Products
  84.    wt: 3:   12 cis formulas for sine cosines and tangent
  85.    wt: 3:   4 Equations for lines three forms
  86.    wt: 3:   12 Spatial Coordinates
  87.    wt: 3:   3 Rectangular Coordinates Review
  88.    wt: 3:   2 Cartesian Coordinates with signs
  89.    wt: 3:   1 Cartesian Coordinates sans signs
  90.    wt: 3:   PS H Distributive Law For Complex Numbers
  91.    wt: 3:   PS E Multiplication with Polar Coordinates
  92.    wt: 3:   PS D Addition with Cartesian Coordinates
  93.    wt: 3:   17 Right Bisectors of Triangle Sides
  94.    wt: 3:   16 Angles Subtended By Chords and Diameters
  95.    wt: 3:   10 Dropping a perpendicular to line
  96.    wt: 3:   9 Construction of a right bisector
  97.    wt: 3:   2 Correspondence between Triangles
  98.    wt: 3:   Short Course on Euclidean Geometry
  99.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  100.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  101.    wt: 3:   5 Proportionality in Equivalent Fractions
  102.    wt: 3:   4 Rates Ratios and Proporitionality
  103.    wt: 3:   3 Proportionality Examples
  104.    wt: 3:   1 What is Proportionality
  105.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  107.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  108.    wt: 3:   2 More and Less Than for Counts and Measures
  109.    wt: 3:   Formula Usage Show Work Format
  110.    wt: 3:   8 Compound Interest Formula Evaluation
  111.    wt: 3:   7 Compound Interest Formula Introduction
  112.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  113.    wt: 3:   5 Box Volume Formula Example
  114.    wt: 3:   4 Circle Area Formula Example
  115.    wt: 3:   3 Triangle Area Formula Example
  116.    wt: 3:   2 Another Rectangle Area Formula Example
  117.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  118.    wt: 3:   1 More and Less Than for Counts and Measures
  119.    wt: 3:   13 GCD from given Prime Factorization
  120.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  121.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  122.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  123.    wt: 3:   8 GCD from Euclidean Algorithm
  124.    wt: 3:   7 GCD and LCM from prime factorization
  125.    wt: 3:   5 Common Divisors 60 45 via Prime
  126.    wt: 3:   4 signed coordinates for regions in space
  127.    wt: 3:   3 signed coordinates for maps and planes
  128.    wt: 3:   20 Uniqueness of Prime Factorization
  129.    wt: 3:   19 video Prime Factorization Unique
  130.    wt: 3:   17 Identify and Count Factors using Primes
  131.    wt: 3:   16 video Factors of 980 using prime
  132.    wt: 3:   14 video Factors of 24 Take II
  133.    wt: 3:   13 video Factors of 24 using prime
  134.    wt: 3:   7 Calculator Usage Notes and Cautions
  135.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  136.    wt: 3:   5 Prime Factorization and a Square Rule
  137.    wt: 3:   4 video Prime Factorization Introduction
  138.    wt: 3:   1 video how Products are bigger than factor
  139.    wt: 3:   6 Multiplication Commutes Order Not Important
  140.    wt: 3:   8 What skills and work habits to require
  141.    wt: 3:   Expression Evaluation how to show work
  142.    wt: 3:   Postscript More on Better Performance
  143.    wt: 3:   Postscript For Better Performance
  144.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  145.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  146.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  147.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  148.    wt: 3:   Foreword
  149.    wt: 3:   S Adding words to algebra
  150.    wt: 3:   M Words to extend arithmetic
  151.    wt: 3:   J. More on written work and showing skill
  152.    wt: 3:   H more Routine to non routine problem solving
  153.    wt: 3:   A. Skill has to be seen to believed
  154.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  155.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  156.    wt: 2:   three goals to set for students
  157.    wt: 2:   grouping students according to ability
  158.    wt: 2:   talk the algebra talk
  159.    wt: 2:   02 21 words for teachers
  160.    wt: 2:   Four ways to improve education reform
  161.    wt: 2:   How to be a better instructor
  162.    wt: 2:   Prequel In For A Penny In For A Pound
  163.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  164.    wt: 2:   18 Primary School Mathematics
  165.    wt: 2:   16 Secondary Mathematics Tips
  166.    wt: 2:   14 Multiplication and Times Tables
  167.    wt: 2:   13 Addition and Addition Tables
  168.    wt: 2:   9 Streaming by Student Cooperation
  169.    wt: 2:   8 The Effect of Negative Remarks
  170.    wt: 2:   7 Student Motivation
  171.    wt: 2:   2 Reading and Writing Skills
  172.    wt: 2:   1 Speaking Skills
  173.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  174.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  175.    wt: 2:   sign monoticity analysis example 4
  176.    wt: 2:   sign monoticity analysis example 3
  177.    wt: 2:   sign monoticity analysis example 2
  178.    wt: 2:   sign monoticity analysis example 1
  179.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  180.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  181.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  182.    wt: 2:   20 Interchanging coordinates a reflection
  183.    wt: 2:   19 Horizontal line rule and method
  184.    wt: 2:   16 Increasing or decreasing on intervals
  185.    wt: 2:   6 Set Existence Formation and Notation
  186.    wt: 2:   8 quadratics backward use of various formulas
  187.    wt: 2:   7 quadratic formulla derivation
  188.    wt: 2:   3 quadratics factoring by inspection
  189.    wt: 2:   5 Natural Logarithm Calculator Exercises
  190.    wt: 2:   1 Calculator Starter Exercises
  191.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  192.    wt: 2:   4 Polynomials Long division linear divisor
  193.    wt: 2:   16 cotangent function Definition Graph and Inverse
  194.    wt: 2:   15 cosecant function Definition Graph and Inverse
  195.    wt: 2:   14 secant function Definition Graph and Inverse
  196.    wt: 2:   13 cosecant function Definition Graph and Inverse
  197.    wt: 2:   11 arctan left inverse of tangent Graph
  198.    wt: 2:   10 arctan left inverse of tangent Definition
  199.    wt: 2:   8 arcsin left inverse of sine Graph
  200.    wt: 2:   7 arcsin left inverse of sine Definition
  201.    wt: 2:   6 Graph of arccos function
  202.    wt: 2:   3 Left Inverse of cosine arccos definition
  203.    wt: 2:   1 cosine function properties
  204.    wt: 2:   A Global Time and Navigation
  205.    wt: 2:   15 Dot and Cross Product
  206.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  207.    wt: 2:   11 Component Method
  208.    wt: 2:   10 Parallelogram Addition Method
  209.    wt: 2:   4 Resultant of a Sum of Movements
  210.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  211.    wt: 2:   Triangle Angles Sum To 180 Degrees
  212.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  213.    wt: 2:   Parallel Lines and Interior Angles
  214.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  215.    wt: 2:   Straight Lines ASA Intersection Study More
  216.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  217.    wt: 2:   C Straight Lines Slope from Coordinates
  218.    wt: 2:   B Straight Line Slope Scaling Properties More
  219.    wt: 2:   9 Straight Lines through Origin Equations
  220.    wt: 2:   8 Straight Lines Equation for vertical
  221.    wt: 2:   17 tangent function angle sum formulas
  222.    wt: 2:   29 secant cosecant and cotangent for acute angles
  223.    wt: 2:   25 tangent double angle formula Slope connection
  224.    wt: 2:   24 tangent Angle Difference Formula
  225.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  226.    wt: 2:   21 sine and cosine Half Angle Formulas
  227.    wt: 2:   20 sine and cosine Double Angle Formulas
  228.    wt: 2:   17C sine and cosine double triple angle formulas
  229.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  230.    wt: 2:   12 Graph of tangent function for one period
  231.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  232.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  233.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  234.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  235.    wt: 2:   16 References and Originality Question
  236.    wt: 2:   11 sine and cosine double triple angle formulas
  237.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  238.    wt: 2:   7 Second Way to Calculate Products
  239.    wt: 2:   1 Rectangular Polar Coordinates Review
  240.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  241.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  242.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  243.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  244.    wt: 2:   12 Triangles Similarity More Problems
  245.    wt: 2:   4 Similarity Definition with Coordinate
  246.    wt: 2:   3 Similarity by Design with coordinates
  247.    wt: 2:   1 Early Concept of Like or Similar Shapes
  248.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  249.    wt: 2:   8 Mid Point Formula
  250.    wt: 2:   7 Exercises to test skill and concept mastery
  251.    wt: 2:   3 Slope product for perpendicular lines
  252.    wt: 2:   2 point slope equation for a line
  253.    wt: 2:   11 Triangle Inequality
  254.    wt: 2:   8 Distance Between Points on a Line
  255.    wt: 2:   7 Complex Numbers Appetizer
  256.    wt: 2:   6 Polar Multiplication and Rotation
  257.    wt: 2:   5 Cartesian Addition and Translation
  258.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  259.    wt: 2:   PS G Rotation Distributes over Addition
  260.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  261.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  262.    wt: 2:   PS B Parallelogram Construction Methods
  263.    wt: 2:   PS A Kite Construction Methods
  264.    wt: 2:   21 Parallelograms
  265.    wt: 2:   19 Right Triangle Similarity
  266.    wt: 2:   18 Triangle Similarity Take 1
  267.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  268.    wt: 2:   14 Parallel Lines Postulate
  269.    wt: 2:   13 Angle Side Angle Failure
  270.    wt: 2:   12 Side Angle Side Failure
  271.    wt: 2:   11 Triangle Construction Fails
  272.    wt: 2:   8 Isoceles Triangles
  273.    wt: 2:   7 Angle Side Angle
  274.    wt: 2:   6 Ruler and compass Angle Bisection
  275.    wt: 2:   5 Side Angle Side
  276.    wt: 2:   4 Side Side Side
  277.    wt: 2:   3 Isometry of Triangles Congruence
  278.    wt: 2:   1 Initial Concepts and Terms
  279.    wt: 2:   6 Figuring with Maps Not to Scale
  280.    wt: 2:   4 Angles on Maps Plans drawn to scale
  281.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  282.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  283.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  284.    wt: 2:   E Long Division Methods more
  285.    wt: 2:   6 Column Methods for Decimal Multiplication
  286.    wt: 2:   5 Distributive Law for Whole Numbers
  287.    wt: 2:   4 Commutative Law Groups Counting Form
  288.    wt: 2:   1 The Counting Origins of Numbers
  289.    wt: 2:   2 Algebraic View
  290.    wt: 2:   6 Compound Interest Forward and Backwards
  291.    wt: 2:   5 Triangle Area Formula Backwards
  292.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  293.    wt: 2:   3 Linear Equation Literal Solution More
  294.    wt: 2:   5 Greater More Less Than Signs in General
  295.    wt: 2:   3 More and Less Than with Unlike Signs
  296.    wt: 2:   9 Coordinates for Regions in Space
  297.    wt: 2:   8 Coordinates for Maps and Planes
  298.    wt: 2:   4 Solving a triangular system exercise
  299.    wt: 2:   3 Solving triangular system example
  300.    wt: 2:   2 Essentially one exercises three with solution
  301.    wt: 2:   1 Essentially One Unknown
  302.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  303.    wt: 2:   11 Volume of Sphere
  304.    wt: 2:   10 Volume of Pyramid
  305.    wt: 2:   9 Volume of Cone
  306.    wt: 2:   7 Cautious or Safe Set Construction
  307.    wt: 2:   3 Adding Words To Arithmetic
  308.    wt: 2:   arithmetic videos Real Player Format
  309.    wt: 2:   4 Greater More Less Than Signs in General
  310.    wt: 2:   2 More and Less Than with Unlike Signs
  311.    wt: 2:   5 Square Roots with primes more still
  312.    wt: 2:   4 Square Roots with primes more
  313.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  314.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  315.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  316.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  317.    wt: 2:   6 GCD from Prime
  318.    wt: 2:   4 LCM of 8 and 10 via Prime
  319.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  320.    wt: 2:   2 Least Common Multiple LCM intro via list method
  321.    wt: 2:   1 Least Common Multiples LCM Introduction
  322.    wt: 2:   12 GCD 2700 288 via Prime
  323.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  324.    wt: 2:   4 Counting with Trees Product Rule Take I
  325.    wt: 2:   3 Counting with Tables and Trees II
  326.    wt: 2:   2 Counting with Tables and Trees I
  327.    wt: 2:   1 Counting and Counting Methods I
  328.    wt: 2:   2 signed and unsigned numbers as coordinates
  329.    wt: 2:   7 Converting or Changing Units
  330.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  331.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  332.    wt: 2:   21 Working With Signs
  333.    wt: 2:   21 Reciprocals for Fractions and Wholes
  334.    wt: 2:   19 Dividing Fractions How TO
  335.    wt: 2:   18 Efficient Ways to Multiply
  336.    wt: 2:   17 Efficient Ways to Add and Subtract
  337.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  338.    wt: 2:   14 Adding and Subtracting with Like Denominators
  339.    wt: 2:   A Associative Law Theorectical Note
  340.    wt: 2:   12 Adding Integers More Examples
  341.    wt: 2:   11 Adding Integers Formulas and Examples
  342.    wt: 2:   10 Integer Multiplication Formulas
  343.    wt: 2:   1 Integers as Coordinates
  344.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  345.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  346.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  347.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  348.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  349.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  350.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  351.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  352.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  353.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  354.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  355.    wt: 2:   12 LCD GCD and LCM using Primes
  356.    wt: 2:   11 Efficient Square Rule Use
  357.    wt: 2:   3 video Primes and Composites from 9 times table
  358.    wt: 2:   2 Prime and Composites less than 16
  359.    wt: 2:   Long Division Backwards more
  360.    wt: 2:   Long Division forwards and backwards Example 3
  361.    wt: 2:   Long Division forwards and backwards Example 2
  362.    wt: 2:   Long Division forwards and backwards Example 1
  363.    wt: 2:   12 Why Long Division Works Take III
  364.    wt: 2:   11 Another Single Digit Divisor Example
  365.    wt: 2:   10 Division by Five Long and Short Ways
  366.    wt: 2:   9 Why Long Division Works Take II
  367.    wt: 2:   8 Correcting the Mistake
  368.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  369.    wt: 2:   5 Long Division Include Zeroes or not
  370.    wt: 2:   4 Division with 2 Digit Divsors
  371.    wt: 2:   3 Division Single Digit Divisor Example
  372.    wt: 2:   2 Division with Single Digit Divisors
  373.    wt: 2:   A Elementary Basis for Multiplication Methods
  374.    wt: 2:   3 More One Digit Multipliers
  375.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  376.    wt: 2:   5 A Tip for Efficent Subtraction
  377.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  378.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  379.    wt: 2:   5. How to add decimals C. Examples
  380.    wt: 2:   4. How to add with decimals B with conversions
  381.    wt: 2:   3. How to add with decimals A sans conversions
  382.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  383.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  384.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  385.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  386.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  387.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  388.    wt: 2:   Quick history of numbers and algebra
  389.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  390.    wt: 2:   38 Formulas and derivatives for powers and roots
  391.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  392.    wt: 2:   Foreword
  393.    wt: 2:   Appendix E. How To Study Mathematics and Why
  394.    wt: 2:   Appendix D. What to do in School and Why
  395.    wt: 2:   Appendix C. How to Read
  396.    wt: 2:   Appendix B. How To Learn
  397.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  398.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  399.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  400.    wt: 2:   Chapter 23. Notation For Sums
  401.    wt: 2:   Chapter 18. Rules for Algebra
  402.    wt: 2:   Chapter 16. Painless Theorem Proving
  403.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  404.    wt: 2:   Chapter 12. Shorthand Usage Guide
  405.    wt: 2:   Chapter 11. Why Shorthand
  406.    wt: 2:   Chapter 8 Three Skills For Algebra
  407.    wt: 2:   Solutions For Arithmetic Exercises
  408.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  409.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  410.    wt: 2:   Foreword
  411.    wt: 2:   Postscript C Consistency as a Tool for Reason
  412.    wt: 2:   Postscript B More on Story Telling and Reason
  413.    wt: 2:   Foreword
  414.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  415.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  416.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  417.    wt: 2:   N Mathematics Prepare for College Studies
  418.    wt: 2:   F. The student teacher tutor feedback loop
  419.    wt: 2:   D. Check work a must with a caution
  420.    wt: 2:   B. Domino effect of errors
  421.    wt: 2:   How to Build Skills and Confidence
  422.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  423.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  424.    wt: 2:   More Algebra and Slope based Calculus Preview
  425.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  426.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  427.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  428.    wt: 2:   Which Way To Go
  429.    wt: 1:   J LAMP Introduction Extrinsic Origins
  430.    wt: 1:   Ramblings Extrinsic numbers theory
  431.    wt: 1:   9 combinatorics probability sets
  432.    wt: 1:   which way to go
  433.    wt: 1:   permissions for teachers
  434.    wt: 1:   Math Ed if it must be short make it lean effective
  435.    wt: 1:   activities for students
  436.    wt: 1:   site origins
  437.    wt: 1:   Mathematics Education Professors
  438.    wt: 1:   Education Reform Inconsistencies
  439.    wt: 1:   What to Tell Students
  440.    wt: 1:   geometric implications for algebra
  441.    wt: 1:   teaching tutoring algebraic reason
  442.    wt: 1:   three goals for Mathematics Education
  443.    wt: 1:   05 13 OldSiteEntrancePage
  444.    wt: 1:   three aims for mathematics students
  445.    wt: 1:   standards for course material
  446.    wt: 1:   Operational Viewpoint to Value
  447.    wt: 1:   Theory of Knowledge
  448.    wt: 1:   need for a mixed mathematics curriculum
  449.    wt: 1:   fairness and inductive principles for instruction
  450.    wt: 1:   3 Like resistors in parallel
  451.    wt: 1:   2 Unlike resistors in parallel01
  452.    wt: 1:   1 Like resistors in series
  453.    wt: 1:   F Unlike Resistors in Series
  454.    wt: 1:   C Electromotive force conventional current02
  455.    wt: 1:   B Electromotive force conventional current01
  456.    wt: 1:   Ages 12 to 14 Skills with take home value
  457.    wt: 1:   Ages 12 to 14 Geometry
  458.    wt: 1:   Ages 12 to 14 Arithmetic
  459.    wt: 1:   Ages 10 to 12 Geometry
  460.    wt: 1:   Ages 10 to 12 Arithmetic
  461.    wt: 1:   Ages 9 to 10
  462.    wt: 1:   Ages 8 to 9
  463.    wt: 1:   Ages 7 to 8
  464.    wt: 1:   Ages 6 to 7
  465.    wt: 1:   Ages 4 plus to 5 plus
  466.    wt: 1:   Ages 3 plus to 4 plus
  467.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  468.    wt: 1:   26 Function definitions done and coming
  469.    wt: 1:   23 Inverse Functions
  470.    wt: 1:   22 Square Root function graphically
  471.    wt: 1:   18 Vertical Line Rule and Method
  472.    wt: 1:   17 Function maxima minima and their location
  473.    wt: 1:   15 Sign analysis of functions
  474.    wt: 1:   14 Surjections Injections Bijections
  475.    wt: 1:   12 Function Domain Recognition Exercises
  476.    wt: 1:   11 Function Domain Range Source and Targets
  477.    wt: 1:   10 Interval Notation
  478.    wt: 1:   8 Set view of relations and functions
  479.    wt: 1:   7 Functions with finite domains
  480.    wt: 1:   4 Function notation in and beyond mathematics
  481.    wt: 1:   2 Algebraic use of function notation
  482.    wt: 1:   1 Geometric Introduction of Function Notation
  483.    wt: 1:   Introduction Reading Guide
  484.    wt: 1:   A Quadratics Summary
  485.    wt: 1:   10 quadratic exercises
  486.    wt: 1:   9 quadratics physical and further context
  487.    wt: 1:   6 quadratics numerical approach
  488.    wt: 1:   5 quadratics completing the square
  489.    wt: 1:   4 quadratics difference of two squares
  490.    wt: 1:   2 quadratics graphing in general
  491.    wt: 1:   1 quadratics graphing exercises
  492.    wt: 1:   Quadratics in 10 steps
  493.    wt: 1:   11 Growth and Decay in Biology
  494.    wt: 1:   10 Exponential Growth and Decay Models
  495.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  496.    wt: 1:   2 Square Root Simplification a prequel
  497.    wt: 1:   7 Links Lessons Elsewhere
  498.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  499.    wt: 1:   3 Polynomials Multiplication Addition
  500.    wt: 1:   2 Column Multiplication Method
  501.    wt: 1:   1 Polynomials Distributive Law
  502.    wt: 1:   Rewriting algebraic substitution as function substitutions
  503.    wt: 1:   4 graphing y=Asin(x c)
  504.    wt: 1:   3 graphing y=f(x c) plus K
  505.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  506.    wt: 1:   1 graphing y=f(x a)
  507.    wt: 1:   Parallel Lines and Parallel Transversals
  508.    wt: 1:   Straight Lines ASA Intersection Study
  509.    wt: 1:   Straight Lines Instersection Solving Equations
  510.    wt: 1:   Straight Lines Intersection of
  511.    wt: 1:   A Straight Line Slope Scaling Properties
  512.    wt: 1:   14 Straight Lines Equations General Case
  513.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  514.    wt: 1:   12 Straight Lines Graphing mx plus b
  515.    wt: 1:   11 Straight Lines Graphing y=mx
  516.    wt: 1:   7 Tangent Function is odd on this domain
  517.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  518.    wt: 1:   5 Tangent Function Graph
  519.    wt: 1:   4 Tangent Function Properties
  520.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  521.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  522.    wt: 1:   1 Straight Lines Slope Concept
  523.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  524.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  525.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  526.    wt: 1:   32 seven rows of pascals triangle
  527.    wt: 1:   31 basic secant cosecant cotangent trig identities
  528.    wt: 1:   30 unit circle calculation of six trigonometric functions
  529.    wt: 1:   28 Expressing products of sines cosines as sums
  530.    wt: 1:   27 Logarithmic use of products of sines and cosines
  531.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  532.    wt: 1:   18 sum of sinusoidal waves as a single wave
  533.    wt: 1:   17F Law of cosines
  534.    wt: 1:   17A The complex number valued trig function cis
  535.    wt: 1:   16 Right Triangle Complementary Angle Relations
  536.    wt: 1:   15 sine cosine Complementary Angle Relations
  537.    wt: 1:   14 cosine even and sine and tangent are odd
  538.    wt: 1:   13 Graph of tangent function many periods
  539.    wt: 1:   11 tangent function undefined when terminal side vertical
  540.    wt: 1:   10 Graphs of sines and cosines many periods
  541.    wt: 1:   9 Graphs of sine and cosine over one period
  542.    wt: 1:   8 period of tangent function
  543.    wt: 1:   7 period of sine and cosine
  544.    wt: 1:   2 Quadrant I reference Angles
  545.    wt: 1:   1 Unit Points Reflections Rotations
  546.    wt: 1:   Unit Circle Development of Trigonometry
  547.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  548.    wt: 1:   21 Logarithms Powers and Exponentials
  549.    wt: 1:   20 N th Roots of Complex Numbers
  550.    wt: 1:   19 N th Roots of Unity
  551.    wt: 1:   18 Sixth Roots of Unity
  552.    wt: 1:   17 Cube Roots of unity
  553.    wt: 1:   14 Law of cosines
  554.    wt: 1:   9 The complex number valued trig function cis
  555.    wt: 1:   8 Unit Circle Development of Trigonometry
  556.    wt: 1:   6 Field Properties of Complex Number
  557.    wt: 1:   5 An Easy Proof of the Distributive Law
  558.    wt: 1:   4 Multiplication Properties
  559.    wt: 1:   3 Addition Properties
  560.    wt: 1:   2 Complex Numbers made easier we hope
  561.    wt: 1:   Appetizer A Complex Number Applet
  562.    wt: 1:   8 Triangles Cascade Problem Solving
  563.    wt: 1:   7 Trignometric Ratios Unit Circle
  564.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  565.    wt: 1:   3 Trigonometric Ratios sine and cosine
  566.    wt: 1:   1 Angle Measurement with Degrees
  567.    wt: 1:   Why Trigonometry the whyslopes view
  568.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  569.    wt: 1:   11 Triangle Similarity Missing Side Problem
  570.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  571.    wt: 1:   9 Similarity of Triangles Usual Criteria
  572.    wt: 1:   8 Similarity of Triangles and Polygons
  573.    wt: 1:   7 Translations Rotations Reflections Dilatations
  574.    wt: 1:   6 Geometric Diagrams in Class
  575.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  576.    wt: 1:   2 Similarity By Design
  577.    wt: 1:   Four Simple Exercises
  578.    wt: 1:   12 Links Lessons elsewhere
  579.    wt: 1:   11 A Partial Summary
  580.    wt: 1:   10 Midpoint of [a b] and [b a]
  581.    wt: 1:   6 Intersection of lines by solving linear systems
  582.    wt: 1:   5 Algebraic View of Slopes
  583.    wt: 1:   1 Numerical view of lines and their equations
  584.    wt: 1:   What is and is not here
  585.    wt: 1:   A Measurement with Ruler Proper Use
  586.    wt: 1:   3 Lengths and Areas on Maps and Plans
  587.    wt: 1:   2 Measuring Area Directly
  588.    wt: 1:   1 Length Measurement
  589.    wt: 1:   About Folder Contents
  590.    wt: 1:   26 More Less Greater Than Comparison
  591.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  592.    wt: 1:   21 Addition of Multiples of a Single Vector
  593.    wt: 1:   19 Signed Multiples of Vectors
  594.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  595.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  596.    wt: 1:   15 Head to Tails in place Addition Associative
  597.    wt: 1:   13 Arrows and Vectors in a Plane
  598.    wt: 1:   12 Real Numbers Line Signed Coordinates
  599.    wt: 1:   D Long Division Methods
  600.    wt: 1:   C Three Decimal Subtraction Methods
  601.    wt: 1:   B Decimal Comparison and Subtraction
  602.    wt: 1:   A Decimal Addition Columm Methods
  603.    wt: 1:   8 Column Multiplication Methods in General
  604.    wt: 1:   7 Decimals Multiplication Methods Examples
  605.    wt: 1:   3 Multiplicative Counting Skills Principles
  606.    wt: 1:   2 Combing Counts Addition Skills and Principles
  607.    wt: 1:   2 Linear Equation Literal Solution
  608.    wt: 1:   1 Changing Calculations
  609.    wt: 1:   6 Equations and Systems Equivalent or Implied
  610.    wt: 1:   3 Product Axioms Two Forms
  611.    wt: 1:   4 Comparison of Negative Numbers
  612.    wt: 1:   1 Real Numbers Comparison
  613.    wt: 1:   12 Real Number Additive Inverses or Negatives
  614.    wt: 1:   7 Real Numbers as Line Cordinates
  615.    wt: 1:   5 Rational Numbers More
  616.    wt: 1:   3 Geometric Formulas and Function Notation
  617.    wt: 1:   1 Formulas Dependence and Function Notation
  618.    wt: 1:   More Exercises
  619.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  620.    wt: 1:   6 Algebraic Solution Example
  621.    wt: 1:   5 Algebraic Solutions Introduction
  622.    wt: 1:   4 Four Examples Fractional Coefficients
  623.    wt: 1:   3 Four Examples
  624.    wt: 1:   2 Three Examples
  625.    wt: 1:   1 Proper Equal Sign Usage
  626.    wt: 1:   Using Letters for Physical Quantities
  627.    wt: 1:   9 Sets in Probability and Statistics
  628.    wt: 1:   8 Sets of Numbers
  629.    wt: 1:   6 Power Set Notation
  630.    wt: 1:   5 Product Builder Notation
  631.    wt: 1:   4 Subset Builder Notation
  632.    wt: 1:   3 Counting with Sets etc
  633.    wt: 1:   2 Venn Diagrams
  634.    wt: 1:   1 Finite Sets
  635.    wt: 1:   5 Talking about Numbers and Quantities
  636.    wt: 1:   4 A Brief Story of numbers and algebra
  637.    wt: 1:   1 Three Skills For Algebra
  638.    wt: 1:   3 Comparison of Negative Numbers
  639.    wt: 1:   3 Properties of Square Roots with example
  640.    wt: 1:   2 Square Roots with Prime
  641.    wt: 1:   1 Squares and Square Roots Introduction
  642.    wt: 1:   11 What are real lengths and numbers
  643.    wt: 1:   10 dividing signed numbers
  644.    wt: 1:   9 subtracting signed numbers
  645.    wt: 1:   8 multiplying signed numbers
  646.    wt: 1:   7 negative and additive inverse
  647.    wt: 1:   6 adding signed numbers
  648.    wt: 1:   5 lengths and signs of numbers
  649.    wt: 1:   6 Simplification of Fractions with Units
  650.    wt: 1:   4 Fractions with Units
  651.    wt: 1:   3 Multiplying Units and Numbers
  652.    wt: 1:   2 Equality and Units
  653.    wt: 1:   1 Addition and Subtraction with Units
  654.    wt: 1:   D Three Term Ratios
  655.    wt: 1:   B Fractions and Two Term Ratios
  656.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  657.    wt: 1:   22 Complex Compound Fractions
  658.    wt: 1:   20 Dividing Fractions the Why
  659.    wt: 1:   16 Addition Subtraction Comparision Compared
  660.    wt: 1:   13 Fraction Comparison Algebraic View
  661.    wt: 1:   12 Fraction Comparison
  662.    wt: 1:   11 Simplification an Algebraic View
  663.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  664.    wt: 1:   9 Improper Fractions and Mixed Numbers
  665.    wt: 1:   8 Numerals Fractionals Quantals Take II
  666.    wt: 1:   7 Numerals Fractionals Quantals
  667.    wt: 1:   6 Multiplication Algebraically Take II
  668.    wt: 1:   5 Equivalent Fractions
  669.    wt: 1:   4 Fraction Multiplication
  670.    wt: 1:   3 Unit fraction of a fraction
  671.    wt: 1:   2 Unit Fraction Multiplication
  672.    wt: 1:   1 What is a fraction Take II
  673.    wt: 1:   1 What is a fraction
  674.    wt: 1:   D Remainders Modulo 11 Pair Rule
  675.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  676.    wt: 1:   B Integer Long Division Multiple Choices
  677.    wt: 1:   13 Subtraction with Additive Inverse
  678.    wt: 1:   9 Multiplying Integers
  679.    wt: 1:   8 Multiplication by Signed Numbers Integers
  680.    wt: 1:   7 Multiplication by Signs
  681.    wt: 1:   6 Multiplication by Natural Numbers
  682.    wt: 1:   5 Zero Movement and Additive Inverses
  683.    wt: 1:   4 Adding Movements wiht opposite directions
  684.    wt: 1:   3 Adding Movements with same direction
  685.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  686.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  687.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  688.    wt: 1:   26 Divisibility by 2 3 5 Example
  689.    wt: 1:   23 Remainder Arithmetic Modulo 2
  690.    wt: 1:   21 Remainder Arithmetic Modulo 3
  691.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  692.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  693.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  694.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  695.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  696.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  697.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  698.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  699.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  700.    wt: 1:   5 Remainder Arithmetic Modulo 5
  701.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  702.    wt: 1:   1 Remainder Arithmetic Modulo 10
  703.    wt: 1:   Long Division Backward
  704.    wt: 1:   Division with Counts and Length
  705.    wt: 1:   7 Long Divison Mistake Catching
  706.    wt: 1:   1 Divsion Physical Examples
  707.    wt: 1:   D Decimal Multiplication Methods Derived
  708.    wt: 1:   C Counting Areas with Powers of Ten
  709.    wt: 1:   B Powers of Ten
  710.    wt: 1:   5 Decimal Fraction Multiplication
  711.    wt: 1:   4 Two and Three Digit Multipliers
  712.    wt: 1:   2 One Digit Multipliers
  713.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  714.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  715.    wt: 1:   Video Power Notation in Decimal Expansion
  716.    wt: 1:   1 Why 3 times 5 gives 15
  717.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  718.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  719.    wt: 1:   Subtraction with J Conversions Example
  720.    wt: 1:   Subtraction Another Video Lesson
  721.    wt: 1:   9 22 Minute Subtraction Review Video
  722.    wt: 1:   8 Subtraction with Units of Measure
  723.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  724.    wt: 1:   2 Subtraction Easy Case Examples
  725.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  726.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  727.    wt: 1:   7 Adding decimal fractions using decimal point
  728.    wt: 1:   6. Counting and adding units and mixed units
  729.    wt: 1:   2 Decimal Counting Practices
  730.    wt: 1:   1. Explaining Addition Table
  731.    wt: 1:   11 Place Value SI Standard International way
  732.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  733.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  734.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  735.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  736.    wt: 1:   Exact Arithmetic Wholes and Fractions
  737.    wt: 1:   The 20 Times Table
  738.    wt: 1:   The 12 Times Table Visually
  739.    wt: 1:   About folder contents
  740.    wt: 1:   015 School and work day counting tables
  741.    wt: 1:   8 Addition of Time Intervals via subtotaling
  742.    wt: 1:   1 Intro of Kids To Time Date Skills
  743.    wt: 1:   28 Chain Rule Preparation for a Proof
  744.    wt: 1:   22 Chain Rule for polynomials
  745.    wt: 1:   21 Chain Rule for powers
  746.    wt: 1:   20 Chain Rule for Pulley Systems
  747.    wt: 1:   19 Chain Rule for linear functions
  748.    wt: 1:   10 Power rule for negative integers
  749.    wt: 1:   3 Motivation for Limit Definition Take 2
  750.    wt: 1:   2 Motivation for Limit Definition Take 1
  751.    wt: 1:   7 Evaluation by immediate or delayed substitution
  752.    wt: 1:   5 Jumps and absence of unlimited error control
  753.    wt: 1:   3 Decimal insights for limits continuity convergence
  754.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  755.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  756.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  757.    wt: 1:   G.3 Constant Difference Theorem Proof
  758.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  759.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  760.    wt: 1:   F.5b Extreme Value Theorem
  761.    wt: 1:   F.5a Equicontinuity Theorems
  762.    wt: 1:   F.4 Finite Covering Theorem
  763.    wt: 1:   F.3 Intermediate Value Theorem
  764.    wt: 1:   F.2 Closed Range Theorem
  765.    wt: 1:   E1 Error Control Inequalities
  766.    wt: 1:   D2 Limits of Monotone Sequences
  767.    wt: 1:   B3 Bolzano Weierstrass Theorem
  768.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  769.    wt: 1:   PostScript For and Against Decimal Perspectives
  770.    wt: 1:   Chapter 23 Links To Trigonometry
  771.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  772.    wt: 1:   Chapter 4. More Slope Sign Analysis
  773.    wt: 1:   Chapter 31 Direct and Indirect Reason
  774.    wt: 1:   Chapter 30 Truth Tables
  775.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  776.    wt: 1:   Chapter 28 Occurrence Tables
  777.    wt: 1:   Chapter 25. Mathematical Induction Examples
  778.    wt: 1:   Chapter 25. Mathematical Induction Examples
  779.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  780.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  781.    wt: 1:   Chapter 21. Third Reading Guide
  782.    wt: 1:   Chapter 20. Degrees and Radians
  783.    wt: 1:   Chapter 19. Functions and Sets
  784.    wt: 1:   Chapter 15. Solving Linear Equations
  785.    wt: 1:   Chapter 13. Second Reading Guide
  786.    wt: 1:   Chapter 10 Describing and Changing Calculations
  787.    wt: 1:   Postscript What is a Variable
  788.    wt: 1:   Chapter 6 Change of Language
  789.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  790.    wt: 1:   Chapter 4 Longer Chains of Reason
  791.    wt: 1:   Chapter 3 Chains of Reason
  792.    wt: 1:   Annotated Links to Material Elsehwere
  793.    wt: 1:   Chapter 2 For and Against Mathematics
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  796.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  797.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  798.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  799.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  800.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  801.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  802.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  803.    wt: 1:   R Why Learn Mathematics Skills
  804.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  805.    wt: 1:   O On Learning Mathematics and Science
  806.    wt: 1:   L Skills with take home value
  807.    wt: 1:   N Improving Marks on Tests and Finals
  808.    wt: 1:   I. Logic and language skills
  809.    wt: 1:   H Jigsaw puzzles and problem solving
  810.    wt: 1:   C. Domino effect of being careful
  811.    wt: 1:   Helping the Blind in Logic and Mathematics
  812.    wt: 1:   Implementation Notes
  813.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  814.    wt: 1:   Systematic Algebra Skill Development Missing Links
  815.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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.

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6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
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10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
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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.

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11 Parallel Straight Lines and Transversals
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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

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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

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Arithmetic - Ages 10+
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Logarithms-ax & m/nth roots
Five Polynomial Operations
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What is a Variable
Why study slopes
Why factor polynomials
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