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

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

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

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

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

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

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  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  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:   4 Computation Rules and Function Notation/
  10.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  11.    wt: 2:   2 Formula Forward Use Evaluation/
  12.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  13.    wt: 2:   9 Combinatorics Trees Tables and Products/
  14.    wt: 2:   3 Prime Factorization Skills/
  15.    wt: 2:   Volume 2 Three Skills For Algebra/
  16.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  17.    wt: 2:   Volume 1 Elements of Reason/
  18.    wt: 1:   4 Functions/
  19.    wt: 1:   3 Quadratics Geometrically/
  20.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  21.    wt: 1:   1 Five Polynomial Operations/
  22.    wt: 1:   More Algebra/
  23.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  24.    wt: 1:   12 Function Translating and Rescaling/
  25.    wt: 1:   11 Parallel Straight Lines and Transversals/
  26.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  27.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  28.    wt: 1:   8 Unit Circle Trigonometry/
  29.    wt: 1:   7 Complex Numbers/
  30.    wt: 1:   6 Trigonometry first steps/
  31.    wt: 1:   5 What is Similarity/
  32.    wt: 1:   4 Lines and Slopes Take 1/
  33.    wt: 1:   1 Maps Plans Measurement/
  34.    wt: 1:   Geometry maps plans trigonometry vectors/
  35.    wt: 1:   A Origins of Counting and Figuring Methods/
  36.    wt: 1:   10 Examples of Algebraic Reasoning/
  37.    wt: 1:   8 Unifying Theme For Algebra/
  38.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  39.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  40.    wt: 1:   1 Working With Sets/
  41.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  42.    wt: 1:   11 Squares and Square Roots/
  43.    wt: 1:   8 Arithmetic with Signed Numbers/
  44.    wt: 1:   7 Arithmetic and Fractions with Units/
  45.    wt: 1:   6 Fractions and Ratios/
  46.    wt: 1:   5 Integers/
  47.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  48.    wt: 1:   D Decimal Long Division Methods/
  49.    wt: 1:   C Decimal Multiplication Methods/
  50.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  51.    wt: 1:   A Decimal Counting and Adding Methods/
  52.    wt: 1:   2 Arithmetic with Decimals/
  53.    wt: 1:   1 Decimal Place Value/
  54.    wt: 1:   Arithmetic and Number Theory Skills/
  55.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  56.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  57.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  58.    wt: 1:   Work and Study Tips/
  59.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  60.    wt: 1:   Mathematics Skill Development Framework/

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432 matches:

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

Extended Search

911 matches:

  1.    wt: 9:   Postscript B More on Story Telling and Reason
  2.    wt: 9:   Chapter 16 Origins and Limitations of Rules and Patterns
  3.    wt: 8:   Postscript C Consistency as a Tool for Reason
  4.    wt: 8:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  5.    wt: 8:   Chapter 4 Implication Rules Forwards and Backwards
  6.    wt: 8:   Foreword
  7.    wt: 7:   Postscript A Story Telling
  8.    wt: 7:   Chapter 24 Direct and Indirect Reason
  9.    wt: 7:   Chapter 20 Shorthand Symbols as Pronouns
  10.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  11.    wt: 7:   Chapter 11 Accidental Patterns
  12.    wt: 7:   Chapter 7 Longer Chains of Reason
  13.    wt: 7:   Chapter 6 Chains of Reason
  14.    wt: 6:   8 Notes for instructors or tutors
  15.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  16.    wt: 6:   Chapter 23 Truth Tables
  17.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  18.    wt: 6:   Chapter 21 Occurrence Tables
  19.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  20.    wt: 6:   Chapter 18 Sense and Knowledge
  21.    wt: 6:   Chapter 15 Objective Processes
  22.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  23.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  24.    wt: 6:   Chapter 10 Responsibility
  25.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  26.    wt: 6:   Chapter 8 Change of Language
  27.    wt: 6:   Chapter 5 Deception
  28.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  29.    wt: 6:   Chapter 2 Skill Development
  30.    wt: 6:   Chapter 1 Introduction
  31.    wt: 6:   Three Remarks
  32.    wt: 5:   1 Written work formats for developing and showing skill
  33.    wt: 4:   5 Function notation for geometric transformations
  34.    wt: 4:   6 Vectors with Coordinates
  35.    wt: 4:   3 Navigation with Arrows or Vectors
  36.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  37.    wt: 4:   13 Pythagorean spatial distance formulas
  38.    wt: 4:   10 Pythagorean plane distance formula
  39.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  40.    wt: 4:   3 Geometric Formulas and Function Notation
  41.    wt: 4:   1 Formulas Dependence and Function Notation
  42.    wt: 4:   13 Naming Identifying Formulas with Words
  43.    wt: 4:   5 Box Volume Formula Example
  44.    wt: 4:   2 Another Rectangle Area Formula Example
  45.    wt: 4:   18 video Count Factors given Prime Factorization
  46.    wt: 4:   15 video Factors of 20 using Prime Factorization
  47.    wt: 4:   7 Calculator Usage Notes and Cautions
  48.    wt: 4:   6 Multiplication Commutes Order Not Important
  49.    wt: 4:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  50.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  51.    wt: 4:   Postscript More on Better Performance
  52.    wt: 4:   Postscript For Better Performance
  53.    wt: 4:   Chapter 23. Notation For Sums
  54.    wt: 4:   Chapter 18. Rules for Algebra
  55.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  56.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  57.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  58.    wt: 4:   Foreword
  59.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  60.    wt: 4:   Foreword
  61.    wt: 4:   G. Written work formats for developing and showing skill
  62.    wt: 3:   formal or informal peer review
  63.    wt: 3:   words for mathematics instructor
  64.    wt: 3:   sign monoticity analysis example 4
  65.    wt: 3:   sign monoticity analysis example 3
  66.    wt: 3:   sign monoticity analysis example 2
  67.    wt: 3:   sign monoticity analysis example 1
  68.    wt: 3:   9 Set theory term relation possible origins
  69.    wt: 3:   6 Set Existence Formation and Notation
  70.    wt: 3:   3 Formula or function graphing exercise
  71.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  72.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  73.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  74.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  75.    wt: 3:   12 motivation for term arctan
  76.    wt: 3:   9 motivation for name arcsin
  77.    wt: 3:   5 Swapping Coordinates is a reflection
  78.    wt: 3:   4 possible motivation for term arccos
  79.    wt: 3:   2 cosine function more properties
  80.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  81.    wt: 3:   13 Velocity Vectors in Physics
  82.    wt: 3:   9 Head to Tail Coordinate View
  83.    wt: 3:   8 Parallel Vectors
  84.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  85.    wt: 3:   2 Signed Coordinates
  86.    wt: 3:   1 Unsigned Coordinates
  87.    wt: 3:   Vector and Complex Number Applet
  88.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  89.    wt: 3:   10 Straight Lines through Origin Equations More
  90.    wt: 3:   26 Formulas for products of sines and cosines
  91.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  92.    wt: 3:   17G Pythagorean Theorem Converse
  93.    wt: 3:   17E Trig Formulas for dot and cross Products
  94.    wt: 3:   17D cis formulas for sine cosines and tangent
  95.    wt: 3:   15 Pythagorean Theorem Converse
  96.    wt: 3:   13 Trig Formulas for dot and cross Products
  97.    wt: 3:   12 cis formulas for sine cosines and tangent
  98.    wt: 3:   4 Equations for lines three forms
  99.    wt: 3:   12 Spatial Coordinates
  100.    wt: 3:   4 Polar Coordinates to and from
  101.    wt: 3:   3 Rectangular Coordinates Review
  102.    wt: 3:   2 Cartesian Coordinates with signs
  103.    wt: 3:   1 Cartesian Coordinates sans signs
  104.    wt: 3:   PS H Distributive Law For Complex Numbers
  105.    wt: 3:   PS E Multiplication with Polar Coordinates
  106.    wt: 3:   PS D Addition with Cartesian Coordinates
  107.    wt: 3:   17 Right Bisectors of Triangle Sides
  108.    wt: 3:   16 Angles Subtended By Chords and Diameters
  109.    wt: 3:   9 Construction of a right bisector
  110.    wt: 3:   2 Correspondence between Triangles
  111.    wt: 3:   Short Course on Euclidean Geometry
  112.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  113.    wt: 3:   5 Proportionality in Equivalent Fractions
  114.    wt: 3:   4 Rates Ratios and Proporitionality
  115.    wt: 3:   3 Proportionality Examples
  116.    wt: 3:   1 What is Proportionality
  117.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  118.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  119.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  120.    wt: 3:   2 More and Less Than for Counts and Measures
  121.    wt: 3:   2 Computation Rules Evaluation
  122.    wt: 3:   Formula Usage Show Work Format
  123.    wt: 3:   11 Volume of Sphere
  124.    wt: 3:   10 Volume of Pyramid
  125.    wt: 3:   9 Volume of Cone
  126.    wt: 3:   8 Compound Interest Formula Evaluation
  127.    wt: 3:   7 Compound Interest Formula Introduction
  128.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  129.    wt: 3:   4 Circle Area Formula Example
  130.    wt: 3:   3 Triangle Area Formula Example
  131.    wt: 3:   1 More and Less Than for Counts and Measures
  132.    wt: 3:   13 GCD from given Prime Factorization
  133.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  134.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  135.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  136.    wt: 3:   8 GCD from Euclidean Algorithm
  137.    wt: 3:   7 GCD and LCM from prime factorization
  138.    wt: 3:   5 Common Divisors 60 45 via Prime
  139.    wt: 3:   4 signed coordinates for regions in space
  140.    wt: 3:   3 signed coordinates for maps and planes
  141.    wt: 3:   A Associative Law Theorectical Note
  142.    wt: 3:   20 Uniqueness of Prime Factorization
  143.    wt: 3:   19 video Prime Factorization Unique
  144.    wt: 3:   17 Identify and Count Factors using Primes
  145.    wt: 3:   16 video Factors of 980 using prime
  146.    wt: 3:   14 video Factors of 24 Take II
  147.    wt: 3:   13 video Factors of 24 using prime
  148.    wt: 3:   10 video Prime Factorization upto 23 squared
  149.    wt: 3:   9 video Prime Factorization upto 19 squared
  150.    wt: 3:   8 video Prime Factorization upto 19
  151.    wt: 3:   5 Prime Factorization and a Square Rule
  152.    wt: 3:   4 video Prime Factorization Introduction
  153.    wt: 3:   1 video how Products are bigger than factor
  154.    wt: 3:   11 Another Single Digit Divisor Example
  155.    wt: 3:   5 Long Division Include Zeroes or not
  156.    wt: 3:   Formula Evaluation how to show work
  157.    wt: 3:   Foreword
  158.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  159.    wt: 3:   Chapter 31 Direct and Indirect Reason
  160.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  161.    wt: 3:   Chapter 16. Painless Theorem Proving
  162.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  163.    wt: 3:   Chapter 12. Shorthand Usage Guide
  164.    wt: 3:   Chapter 11. Why Shorthand
  165.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  166.    wt: 3:   Chapter 8 Three Skills For Algebra
  167.    wt: 3:   Solutions For Arithmetic Exercises
  168.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  169.    wt: 3:   Chapter 4 Longer Chains of Reason
  170.    wt: 3:   Chapter 3 Chains of Reason
  171.    wt: 3:   Annotated Links to Material Elsehwere
  172.    wt: 3:   Chapter 2 For and Against Mathematics
  173.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  174.    wt: 3:   J. More on written work and showing skill
  175.    wt: 3:   E. When and how to correct errors
  176.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  177.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  178.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  179.    wt: 3:   More Algebra and Slope based Calculus Preview
  180.    wt: 2:   teaching tutoring algebraic reason
  181.    wt: 2:   02 21 words for teachers
  182.    wt: 2:   Prequel In For A Penny In For A Pound
  183.    wt: 2:   chapitre 12 00 les iles et division
  184.    wt: 2:   chapitre 07 01 principle D induction mathematique
  185.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  186.    wt: 2:   chapitre 06 00 Chaines de la raison
  187.    wt: 2:   chapitre 05 00 Deception
  188.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  189.    wt: 2:   chapitre 04 09 Regles accidentelles
  190.    wt: 2:   chapitre 04 08 Limitations et benefices
  191.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  192.    wt: 2:   chapitre 04 06 engagements
  193.    wt: 2:   chapitre 04 05 Implication versus suggestion
  194.    wt: 2:   chapitre 04 04 Parlons de la logique
  195.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  196.    wt: 2:   chapitre 04 02 Deuxieme enigme
  197.    wt: 2:   chapitre 04 01 Premiere enigme
  198.    wt: 2:   chapitre 04 00 Les regles d implication
  199.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  200.    wt: 2:   chapitre 02 00 La Communication des idees
  201.    wt: 2:   chapitre 01 00 Introduction
  202.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  203.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  204.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  205.    wt: 2:   10 Ends values for work study instruction
  206.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  207.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  208.    wt: 2:   20 Interchanging coordinates a reflection
  209.    wt: 2:   19 Horizontal line rule and method
  210.    wt: 2:   16 Increasing or decreasing on intervals
  211.    wt: 2:   10 Interval Notation
  212.    wt: 2:   4 Function notation in and beyond mathematics
  213.    wt: 2:   2 Algebraic use of function notation
  214.    wt: 2:   1 Geometric Introduction of Function Notation
  215.    wt: 2:   8 quadratics backward use of various formulas
  216.    wt: 2:   7 quadratic formulla derivation
  217.    wt: 2:   3 quadratics factoring by inspection
  218.    wt: 2:   5 Natural Logarithm Calculator Exercises
  219.    wt: 2:   1 Calculator Starter Exercises
  220.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  221.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  222.    wt: 2:   4 Polynomials Long division linear divisor
  223.    wt: 2:   16 cotangent function Definition Graph and Inverse
  224.    wt: 2:   15 cosecant function Definition Graph and Inverse
  225.    wt: 2:   14 secant function Definition Graph and Inverse
  226.    wt: 2:   13 cosecant function Definition Graph and Inverse
  227.    wt: 2:   11 arctan left inverse of tangent Graph
  228.    wt: 2:   10 arctan left inverse of tangent Definition
  229.    wt: 2:   8 arcsin left inverse of sine Graph
  230.    wt: 2:   7 arcsin left inverse of sine Definition
  231.    wt: 2:   6 Graph of arccos function
  232.    wt: 2:   3 Left Inverse of cosine arccos definition
  233.    wt: 2:   1 cosine function properties
  234.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  235.    wt: 2:   A Global Time and Navigation
  236.    wt: 2:   15 Dot and Cross Product
  237.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  238.    wt: 2:   12 From Applied To Pure Mathematics
  239.    wt: 2:   11 Component Method
  240.    wt: 2:   10 Parallelogram Addition Method
  241.    wt: 2:   5 Head To Tail Arrow Addition
  242.    wt: 2:   4 Resultant of a Sum of Movements
  243.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  244.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  245.    wt: 2:   Parallel Lines and Interior Angles
  246.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  247.    wt: 2:   Straight Lines ASA Intersection Study More
  248.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  249.    wt: 2:   C Straight Lines Slope from Coordinates
  250.    wt: 2:   B Straight Line Slope Scaling Properties More
  251.    wt: 2:   9 Straight Lines through Origin Equations
  252.    wt: 2:   8 Straight Lines Equation for vertical
  253.    wt: 2:   17 tangent function angle sum formulas
  254.    wt: 2:   29 secant cosecant and cotangent for acute angles
  255.    wt: 2:   25 tangent double angle formula Slope connection
  256.    wt: 2:   24 tangent Angle Difference Formula
  257.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  258.    wt: 2:   21 sine and cosine Half Angle Formulas
  259.    wt: 2:   20 sine and cosine Double Angle Formulas
  260.    wt: 2:   17C sine and cosine double triple angle formulas
  261.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  262.    wt: 2:   12 Graph of tangent function for one period
  263.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  264.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  265.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  266.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  267.    wt: 2:   16 References and Originality Question
  268.    wt: 2:   11 sine and cosine double triple angle formulas
  269.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  270.    wt: 2:   1 Rectangular Polar Coordinates Review
  271.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  272.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  273.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  274.    wt: 2:   12 Triangles Similarity More Problems
  275.    wt: 2:   4 Similarity Definition with Coordinate
  276.    wt: 2:   3 Similarity by Design with coordinates
  277.    wt: 2:   1 Early Concept of Like or Similar Shapes
  278.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  279.    wt: 2:   8 Mid Point Formula
  280.    wt: 2:   3 Slope product for perpendicular lines
  281.    wt: 2:   2 point slope equation for a line
  282.    wt: 2:   What is and is not here
  283.    wt: 2:   11 Triangle Inequality
  284.    wt: 2:   8 Distance Between Points on a Line
  285.    wt: 2:   7 Complex Numbers Appetizer
  286.    wt: 2:   6 Polar Multiplication and Rotation
  287.    wt: 2:   5 Cartesian Addition and Translation
  288.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  289.    wt: 2:   PS G Rotation Distributes over Addition
  290.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  291.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  292.    wt: 2:   PS B Parallelogram Construction Methods
  293.    wt: 2:   PS A Kite Construction Methods
  294.    wt: 2:   21 Parallelograms
  295.    wt: 2:   19 Right Triangle Similarity
  296.    wt: 2:   18 Triangle Similarity Take 1
  297.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  298.    wt: 2:   14 Parallel Lines Postulate
  299.    wt: 2:   13 Angle Side Angle Failure
  300.    wt: 2:   12 Side Angle Side Failure
  301.    wt: 2:   11 Triangle Construction Fails
  302.    wt: 2:   10 Dropping a perpendicular to line
  303.    wt: 2:   8 Isoceles Triangles
  304.    wt: 2:   7 Angle Side Angle
  305.    wt: 2:   6 Ruler and compass Angle Bisection
  306.    wt: 2:   5 Side Angle Side
  307.    wt: 2:   4 Side Side Side
  308.    wt: 2:   3 Isometry of Triangles Congruence
  309.    wt: 2:   1 Initial Concepts and Terms
  310.    wt: 2:   6 Figuring with Maps Not to Scale
  311.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  312.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  313.    wt: 2:   E Long Division Methods more
  314.    wt: 2:   6 Column Methods for Decimal Multiplication
  315.    wt: 2:   5 Distributive Law for Whole Numbers
  316.    wt: 2:   4 Commutative Law Groups Counting Form
  317.    wt: 2:   1 The Counting Origins of Numbers
  318.    wt: 2:   2 Algebraic View
  319.    wt: 2:   6 Compound Interest Forward and Backwards
  320.    wt: 2:   5 Triangle Area Formula Backwards
  321.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  322.    wt: 2:   3 Linear Equation Literal Solution More
  323.    wt: 2:   5 Greater More Less Than Signs in General
  324.    wt: 2:   3 More and Less Than with Unlike Signs
  325.    wt: 2:   9 Coordinates for Regions in Space
  326.    wt: 2:   8 Coordinates for Maps and Planes
  327.    wt: 2:   5 Independent versus Dependent Variables
  328.    wt: 2:   4 Changing Letters
  329.    wt: 2:   4 Solving a triangular system exercise
  330.    wt: 2:   3 Solving triangular system example
  331.    wt: 2:   2 Essentially one exercises three with solution
  332.    wt: 2:   1 Essentially One Unknown
  333.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  334.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  335.    wt: 2:   7 Cautious or Safe Set Construction
  336.    wt: 2:   6 Power Set Notation
  337.    wt: 2:   5 Product Builder Notation
  338.    wt: 2:   4 Subset Builder Notation
  339.    wt: 2:   arithmetic videos Real Player Format
  340.    wt: 2:   4 Greater More Less Than Signs in General
  341.    wt: 2:   2 More and Less Than with Unlike Signs
  342.    wt: 2:   5 Square Roots with primes more still
  343.    wt: 2:   4 Square Roots with primes more
  344.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  345.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  346.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  347.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  348.    wt: 2:   6 GCD from Prime
  349.    wt: 2:   4 LCM of 8 and 10 via Prime
  350.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  351.    wt: 2:   2 Least Common Multiple LCM intro via list method
  352.    wt: 2:   1 Least Common Multiples LCM Introduction
  353.    wt: 2:   12 GCD 2700 288 via Prime
  354.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  355.    wt: 2:   4 Counting with Trees Product Rule Take I
  356.    wt: 2:   3 Counting with Tables and Trees II
  357.    wt: 2:   2 Counting with Tables and Trees I
  358.    wt: 2:   1 Counting and Counting Methods I
  359.    wt: 2:   2 signed and unsigned numbers as coordinates
  360.    wt: 2:   7 Converting or Changing Units
  361.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  362.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  363.    wt: 2:   21 Working With Signs
  364.    wt: 2:   21 Reciprocals for Fractions and Wholes
  365.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  366.    wt: 2:   14 Adding and Subtracting with Like Denominators
  367.    wt: 2:   12 Adding Integers More Examples
  368.    wt: 2:   11 Adding Integers Formulas and Examples
  369.    wt: 2:   10 Integer Multiplication Formulas
  370.    wt: 2:   1 Integers as Coordinates
  371.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  372.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  373.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  374.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  375.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  376.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  377.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  378.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  379.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  380.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  381.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  382.    wt: 2:   12 LCD GCD and LCM using Primes
  383.    wt: 2:   11 Efficient Square Rule Use
  384.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  385.    wt: 2:   3 video Primes and Composites from 9 times table
  386.    wt: 2:   2 Prime and Composites less than 16
  387.    wt: 2:   Long Division Backwards more
  388.    wt: 2:   Long Division forwards and backwards Example 3
  389.    wt: 2:   Long Division forwards and backwards Example 2
  390.    wt: 2:   Long Division forwards and backwards Example 1
  391.    wt: 2:   12 Why Long Division Works Take III
  392.    wt: 2:   10 Division by Five Long and Short Ways
  393.    wt: 2:   9 Why Long Division Works Take II
  394.    wt: 2:   8 Correcting the Mistake
  395.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  396.    wt: 2:   4 Division with 2 Digit Divsors
  397.    wt: 2:   3 Division Single Digit Divisor Example
  398.    wt: 2:   2 Division with Single Digit Divisors
  399.    wt: 2:   A Elementary Basis for Multiplication Methods
  400.    wt: 2:   3 More One Digit Multipliers
  401.    wt: 2:   Video Power Notation in Decimal Expansion
  402.    wt: 2:   Subtraction Another Video Lesson
  403.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  404.    wt: 2:   5 A Tip for Efficent Subtraction
  405.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  406.    wt: 2:   8 What skills and work habits to require
  407.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  408.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  409.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  410.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  411.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  412.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  413.    wt: 2:   Quick history of numbers and algebra
  414.    wt: 2:   Expression Evaluation how to show work
  415.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  416.    wt: 2:   Example 2 volume of a cone
  417.    wt: 2:   Example 1 volume of a pyramid
  418.    wt: 2:   Volume of Solid by Cross Sections Lesson
  419.    wt: 2:   Area Between Curves Lesson Take 2
  420.    wt: 2:   A Related Material in Volume 3
  421.    wt: 2:   38 Formulas and derivatives for powers and roots
  422.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  423.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  424.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  425.    wt: 2:   G.3 Constant Difference Theorem Proof
  426.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  427.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  428.    wt: 2:   F.5b Extreme Value Theorem
  429.    wt: 2:   F.5a Equicontinuity Theorems
  430.    wt: 2:   F.4 Finite Covering Theorem
  431.    wt: 2:   F.3 Intermediate Value Theorem
  432.    wt: 2:   F.2 Closed Range Theorem
  433.    wt: 2:   E1 Error Control Inequalities
  434.    wt: 2:   D2 Limits of Monotone Sequences
  435.    wt: 2:   B3 Bolzano Weierstrass Theorem
  436.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  437.    wt: 2:   PostScript For and Against Decimal Perspectives
  438.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  439.    wt: 2:   Chapter 4. More Slope Sign Analysis
  440.    wt: 2:   Appendix E. How To Study Mathematics and Why
  441.    wt: 2:   Appendix D. What to do in School and Why
  442.    wt: 2:   Appendix C. How to Read
  443.    wt: 2:   Appendix B. How To Learn
  444.    wt: 2:   Chapter 30 Truth Tables
  445.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  446.    wt: 2:   Chapter 28 Occurrence Tables
  447.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  448.    wt: 2:   Chapter 25. Mathematical Induction Examples
  449.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  450.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  451.    wt: 2:   Chapter 21. Third Reading Guide
  452.    wt: 2:   Chapter 20. Degrees and Radians
  453.    wt: 2:   Chapter 19. Functions and Sets
  454.    wt: 2:   Chapter 15. Solving Linear Equations
  455.    wt: 2:   Chapter 13. Second Reading Guide
  456.    wt: 2:   Chapter 10 Describing and Changing Calculations
  457.    wt: 2:   Postscript What is a Variable
  458.    wt: 2:   Chapter 6 Change of Language
  459.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  460.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  461.    wt: 2:   Postscript B Mathematics Education References
  462.    wt: 2:   Postscript A Three Remarks
  463.    wt: 2:   Chapter 12 Four Phases
  464.    wt: 2:   Chapter 11 Elementary Instruction
  465.    wt: 2:   Chapter 10 Transition
  466.    wt: 2:   Chapter 9 The Two Ends
  467.    wt: 2:   Chapter 8 Modern Instruction
  468.    wt: 2:   Chapter 7 Two Treatments of Geometry
  469.    wt: 2:   Chapter 5 Four References
  470.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  471.    wt: 2:   Chapter 3 Algebra Difficulties
  472.    wt: 2:   Chapter 1 Introduction
  473.    wt: 2:   S Adding words to algebra
  474.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  475.    wt: 2:   N Mathematics Prepare for College Studies
  476.    wt: 2:   M Words to extend arithmetic
  477.    wt: 2:   H more Routine to non routine problem solving
  478.    wt: 2:   F. The student teacher tutor feedback loop
  479.    wt: 2:   D. Check work a must with a caution
  480.    wt: 2:   B. Domino effect of errors
  481.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  482.    wt: 2:   7 Games and Activities for Instruction
  483.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  484.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  485.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  486.    wt: 2:   Implementation Notes
  487.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  488.    wt: 1:   J LAMP Introduction Extrinsic Origins
  489.    wt: 1:   Ramblings Extrinsic numbers theory
  490.    wt: 1:   9 combinatorics probability sets
  491.    wt: 1:   three goals to set for students
  492.    wt: 1:   permissions for teachers
  493.    wt: 1:   Math Ed if it must be short make it lean effective
  494.    wt: 1:   activities for students
  495.    wt: 1:   site origins
  496.    wt: 1:   key notes and themes
  497.    wt: 1:   Mathematics Education Professors
  498.    wt: 1:   grouping students according to ability
  499.    wt: 1:   Education Reform Inconsistencies
  500.    wt: 1:   geometric implications for algebra
  501.    wt: 1:   three goals for Mathematics Education
  502.    wt: 1:   04 25 when to stop or suspend mathemat
  503.    wt: 1:   three aims for mathematics students
  504.    wt: 1:   standards for course material
  505.    wt: 1:   Theory of Knowledge
  506.    wt: 1:   Different Kinds of Reasoning in maths
  507.    wt: 1:   three kinds of reason in mathematics
  508.    wt: 1:   Four ways to improve education reform
  509.    wt: 1:   How to be a better instructor
  510.    wt: 1:   need for a mixed mathematics curriculum
  511.    wt: 1:   fairness and inductive principles for instruction
  512.    wt: 1:   Trois Notions qui menent a algebre
  513.    wt: 1:   3 Like resistors in parallel
  514.    wt: 1:   2 Unlike resistors in parallel01
  515.    wt: 1:   1 Like resistors in series
  516.    wt: 1:   F Unlike Resistors in Series
  517.    wt: 1:   C Electromotive force conventional current02
  518.    wt: 1:   B Electromotive force conventional current01
  519.    wt: 1:   Home Tutoring and Home Schooling
  520.    wt: 1:   24 Standards For Skill Develoment Take II
  521.    wt: 1:   24 Standards For Skill Develoment
  522.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  523.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  524.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  525.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  526.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  527.    wt: 1:   17 Math Booklets for children and young teenagers
  528.    wt: 1:   15 Counting For Parents
  529.    wt: 1:   12 Goals and Objectives For Mathematics
  530.    wt: 1:   11 Help and Defend Your Child or Teens Education
  531.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  532.    wt: 1:   5 Patience Please for Yourself and Your Charges
  533.    wt: 1:   4 Learning Takes Time and Effort
  534.    wt: 1:   3 Preparing for Science Studies
  535.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  536.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  537.    wt: 1:   26 Function definitions done and coming
  538.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  539.    wt: 1:   23 Inverse Functions
  540.    wt: 1:   22 Square Root function graphically
  541.    wt: 1:   18 Vertical Line Rule and Method
  542.    wt: 1:   17 Function maxima minima and their location
  543.    wt: 1:   15 Sign analysis of functions
  544.    wt: 1:   14 Surjections Injections Bijections
  545.    wt: 1:   13 From one to one to many to one
  546.    wt: 1:   12 Function Domain Recognition Exercises
  547.    wt: 1:   11 Function Domain Range Source and Targets
  548.    wt: 1:   8 Set view of relations and functions
  549.    wt: 1:   7 Functions with finite domains
  550.    wt: 1:   Introduction Reading Guide
  551.    wt: 1:   A Quadratics Summary
  552.    wt: 1:   10 quadratic exercises
  553.    wt: 1:   9 quadratics physical and further context
  554.    wt: 1:   6 quadratics numerical approach
  555.    wt: 1:   5 quadratics completing the square
  556.    wt: 1:   4 quadratics difference of two squares
  557.    wt: 1:   2 quadratics graphing in general
  558.    wt: 1:   1 quadratics graphing exercises
  559.    wt: 1:   Quadratics in 10 steps
  560.    wt: 1:   11 Growth and Decay in Biology
  561.    wt: 1:   10 Exponential Growth and Decay Models
  562.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  563.    wt: 1:   2 Square Root Simplification a prequel
  564.    wt: 1:   7 Links Lessons Elsewhere
  565.    wt: 1:   3 Polynomials Multiplication Addition
  566.    wt: 1:   2 Column Multiplication Method
  567.    wt: 1:   1 Polynomials Distributive Law
  568.    wt: 1:   Rewriting algebraic substitution as function substitutions
  569.    wt: 1:   9 Summary Degrees to Radians and back
  570.    wt: 1:   8 Radian Measures of Common Angles
  571.    wt: 1:   7 Radian Measures in special Triangles
  572.    wt: 1:   6 Radian Measure to Degrees
  573.    wt: 1:   5 Degrees to Radian Measure
  574.    wt: 1:   2 Radian Measure Numerical Value of one degree
  575.    wt: 1:   1 Degrees and Radians Introduction
  576.    wt: 1:   4 graphing y=Asin(x c)
  577.    wt: 1:   3 graphing y=f(x c) plus K
  578.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  579.    wt: 1:   1 graphing y=f(x a)
  580.    wt: 1:   Parallel Lines and Parallel Transversals
  581.    wt: 1:   Triangle Angles Sum To 180 Degrees
  582.    wt: 1:   Straight Lines ASA Intersection Study
  583.    wt: 1:   Straight Lines Instersection Solving Equations
  584.    wt: 1:   Straight Lines Intersection of
  585.    wt: 1:   A Straight Line Slope Scaling Properties
  586.    wt: 1:   14 Straight Lines Equations General Case
  587.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  588.    wt: 1:   12 Straight Lines Graphing mx plus b
  589.    wt: 1:   11 Straight Lines Graphing y=mx
  590.    wt: 1:   7 Tangent Function is odd on this domain
  591.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  592.    wt: 1:   5 Tangent Function Graph
  593.    wt: 1:   4 Tangent Function Properties
  594.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  595.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  596.    wt: 1:   1 Straight Lines Slope Concept
  597.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  598.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  599.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  600.    wt: 1:   32 seven rows of pascals triangle
  601.    wt: 1:   31 basic secant cosecant cotangent trig identities
  602.    wt: 1:   30 unit circle calculation of six trigonometric functions
  603.    wt: 1:   28 Expressing products of sines cosines as sums
  604.    wt: 1:   27 Logarithmic use of products of sines and cosines
  605.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  606.    wt: 1:   18 sum of sinusoidal waves as a single wave
  607.    wt: 1:   17F Law of cosines
  608.    wt: 1:   17A The complex number valued trig function cis
  609.    wt: 1:   16 Right Triangle Complementary Angle Relations
  610.    wt: 1:   15 sine cosine Complementary Angle Relations
  611.    wt: 1:   14 cosine even and sine and tangent are odd
  612.    wt: 1:   13 Graph of tangent function many periods
  613.    wt: 1:   11 tangent function undefined when terminal side vertical
  614.    wt: 1:   10 Graphs of sines and cosines many periods
  615.    wt: 1:   9 Graphs of sine and cosine over one period
  616.    wt: 1:   8 period of tangent function
  617.    wt: 1:   7 period of sine and cosine
  618.    wt: 1:   2 Quadrant I reference Angles
  619.    wt: 1:   1 Unit Points Reflections Rotations
  620.    wt: 1:   Unit Circle Development of Trigonometry
  621.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  622.    wt: 1:   21 Logarithms Powers and Exponentials
  623.    wt: 1:   20 N th Roots of Complex Numbers
  624.    wt: 1:   19 N th Roots of Unity
  625.    wt: 1:   18 Sixth Roots of Unity
  626.    wt: 1:   17 Cube Roots of unity
  627.    wt: 1:   14 Law of cosines
  628.    wt: 1:   9 The complex number valued trig function cis
  629.    wt: 1:   8 Unit Circle Development of Trigonometry
  630.    wt: 1:   7 Second Way to Calculate Products
  631.    wt: 1:   6 Field Properties of Complex Number
  632.    wt: 1:   5 An Easy Proof of the Distributive Law
  633.    wt: 1:   4 Multiplication Properties
  634.    wt: 1:   3 Addition Properties
  635.    wt: 1:   2 Complex Numbers made easier we hope
  636.    wt: 1:   Appetizer A Complex Number Applet
  637.    wt: 1:   8 Triangles Cascade Problem Solving
  638.    wt: 1:   7 Trignometric Ratios Unit Circle
  639.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  640.    wt: 1:   3 Trigonometric Ratios sine and cosine
  641.    wt: 1:   1 Angle Measurement with Degrees
  642.    wt: 1:   Why Trigonometry the whyslopes view
  643.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  644.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  645.    wt: 1:   11 Triangle Similarity Missing Side Problem
  646.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  647.    wt: 1:   9 Similarity of Triangles Usual Criteria
  648.    wt: 1:   8 Similarity of Triangles and Polygons
  649.    wt: 1:   7 Translations Rotations Reflections Dilatations
  650.    wt: 1:   6 Geometric Diagrams in Class
  651.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  652.    wt: 1:   2 Similarity By Design
  653.    wt: 1:   Four Simple Exercises
  654.    wt: 1:   12 Links Lessons elsewhere
  655.    wt: 1:   11 A Partial Summary
  656.    wt: 1:   10 Midpoint of [a b] and [b a]
  657.    wt: 1:   7 Exercises to test skill and concept mastery
  658.    wt: 1:   6 Intersection of lines by solving linear systems
  659.    wt: 1:   5 Algebraic View of Slopes
  660.    wt: 1:   1 Numerical view of lines and their equations
  661.    wt: 1:   A Measurement with Ruler Proper Use
  662.    wt: 1:   4 Angles on Maps Plans drawn to scale
  663.    wt: 1:   3 Lengths and Areas on Maps and Plans
  664.    wt: 1:   2 Measuring Area Directly
  665.    wt: 1:   1 Length Measurement
  666.    wt: 1:   About Folder Contents
  667.    wt: 1:   musings do not puiblish real numbers
  668.    wt: 1:   26 More Less Greater Than Comparison
  669.    wt: 1:   21 Addition of Multiples of a Single Vector
  670.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  671.    wt: 1:   19 Signed Multiples of Vectors
  672.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  673.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  674.    wt: 1:   13 Arrows and Vectors in a Plane
  675.    wt: 1:   12 Real Numbers Line Signed Coordinates
  676.    wt: 1:   D Long Division Methods
  677.    wt: 1:   C Three Decimal Subtraction Methods
  678.    wt: 1:   B Decimal Comparison and Subtraction
  679.    wt: 1:   A Decimal Addition Columm Methods
  680.    wt: 1:   8 Column Multiplication Methods in General
  681.    wt: 1:   7 Decimals Multiplication Methods Examples
  682.    wt: 1:   3 Multiplicative Counting Skills Principles
  683.    wt: 1:   2 Combing Counts Addition Skills and Principles
  684.    wt: 1:   5 Areas of Rectangles Revisited
  685.    wt: 1:   4 Fraction Operations Axiomatic Development
  686.    wt: 1:   3 Inequalities Algebraically
  687.    wt: 1:   2 Fraction Operations Physical Development
  688.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  689.    wt: 1:   2 Linear Equation Literal Solution
  690.    wt: 1:   1 Changing Calculations
  691.    wt: 1:   6 Equations and Systems Equivalent or Implied
  692.    wt: 1:   3 Product Axioms Two Forms
  693.    wt: 1:   1 Equivalent Computation Rules
  694.    wt: 1:   4 Comparison of Negative Numbers
  695.    wt: 1:   1 Real Numbers Comparison
  696.    wt: 1:   12 Real Number Additive Inverses or Negatives
  697.    wt: 1:   7 Real Numbers as Line Cordinates
  698.    wt: 1:   5 Rational Numbers More
  699.    wt: 1:   More Exercises
  700.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  701.    wt: 1:   6 Algebraic Solution Example
  702.    wt: 1:   5 Algebraic Solutions Introduction
  703.    wt: 1:   4 Four Examples Fractional Coefficients
  704.    wt: 1:   3 Four Examples
  705.    wt: 1:   2 Three Examples
  706.    wt: 1:   1 Proper Equal Sign Usage
  707.    wt: 1:   Skill Development Notes
  708.    wt: 1:   Using Letters for Physical Quantities
  709.    wt: 1:   9 Sets in Probability and Statistics
  710.    wt: 1:   8 Sets of Numbers
  711.    wt: 1:   3 Counting with Sets etc
  712.    wt: 1:   2 Venn Diagrams
  713.    wt: 1:   1 Finite Sets
  714.    wt: 1:   6 Three Notions of What is a Variable
  715.    wt: 1:   4 A Brief Story of numbers and algebra
  716.    wt: 1:   3 Adding Words To Arithmetic
  717.    wt: 1:   1 Three Skills For Algebra
  718.    wt: 1:   3 Comparison of Negative Numbers
  719.    wt: 1:   3 Properties of Square Roots with example
  720.    wt: 1:   2 Square Roots with Prime
  721.    wt: 1:   1 Squares and Square Roots Introduction
  722.    wt: 1:   11 What are real lengths and numbers
  723.    wt: 1:   10 dividing signed numbers
  724.    wt: 1:   9 subtracting signed numbers
  725.    wt: 1:   8 multiplying signed numbers
  726.    wt: 1:   7 negative and additive inverse
  727.    wt: 1:   6 adding signed numbers
  728.    wt: 1:   5 lengths and signs of numbers
  729.    wt: 1:   6 Simplification of Fractions with Units
  730.    wt: 1:   4 Fractions with Units
  731.    wt: 1:   3 Multiplying Units and Numbers
  732.    wt: 1:   2 Equality and Units
  733.    wt: 1:   1 Addition and Subtraction with Units
  734.    wt: 1:   D Three Term Ratios
  735.    wt: 1:   B Fractions and Two Term Ratios
  736.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  737.    wt: 1:   22 Complex Compound Fractions
  738.    wt: 1:   20 Dividing Fractions the Why
  739.    wt: 1:   19 Dividing Fractions How TO
  740.    wt: 1:   18 Efficient Ways to Multiply
  741.    wt: 1:   17 Efficient Ways to Add and Subtract
  742.    wt: 1:   16 Addition Subtraction Comparision Compared
  743.    wt: 1:   13 Fraction Comparison Algebraic View
  744.    wt: 1:   12 Fraction Comparison
  745.    wt: 1:   11 Simplification an Algebraic View
  746.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  747.    wt: 1:   9 Improper Fractions and Mixed Numbers
  748.    wt: 1:   8 Numerals Fractionals Quantals Take II
  749.    wt: 1:   7 Numerals Fractionals Quantals
  750.    wt: 1:   6 Multiplication of Mixed Numbers
  751.    wt: 1:   6 Multiplication Algebraically Take II
  752.    wt: 1:   5 Equivalent Fractions
  753.    wt: 1:   4 Fraction Multiplication
  754.    wt: 1:   3 Unit fraction of a fraction
  755.    wt: 1:   2 Unit Fraction Multiplication
  756.    wt: 1:   1 What is a fraction Take II
  757.    wt: 1:   1 What is a fraction
  758.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  759.    wt: 1:   D Remainders Modulo 11 Pair Rule
  760.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  761.    wt: 1:   B Integer Long Division Multiple Choices
  762.    wt: 1:   13 Subtraction with Additive Inverse
  763.    wt: 1:   9 Multiplying Integers
  764.    wt: 1:   8 Multiplication by Signed Numbers Integers
  765.    wt: 1:   7 Multiplication by Signs
  766.    wt: 1:   6 Multiplication by Natural Numbers
  767.    wt: 1:   5 Zero Movement and Additive Inverses
  768.    wt: 1:   4 Adding Movements wiht opposite directions
  769.    wt: 1:   3 Adding Movements with same direction
  770.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  771.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  772.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  773.    wt: 1:   26 Divisibility by 2 3 5 Example
  774.    wt: 1:   23 Remainder Arithmetic Modulo 2
  775.    wt: 1:   21 Remainder Arithmetic Modulo 3
  776.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  777.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  778.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  779.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  780.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  781.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  782.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  783.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  784.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  785.    wt: 1:   5 Remainder Arithmetic Modulo 5
  786.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  787.    wt: 1:   1 Remainder Arithmetic Modulo 10
  788.    wt: 1:   Long Division Backward
  789.    wt: 1:   Division with Counts and Length
  790.    wt: 1:   7 Long Divison Mistake Catching
  791.    wt: 1:   1 Divsion Physical Examples
  792.    wt: 1:   D Decimal Multiplication Methods Derived
  793.    wt: 1:   C Counting Areas with Powers of Ten
  794.    wt: 1:   B Powers of Ten
  795.    wt: 1:   5 Decimal Fraction Multiplication
  796.    wt: 1:   4 Two and Three Digit Multipliers
  797.    wt: 1:   2 One Digit Multipliers
  798.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  799.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  800.    wt: 1:   1 Why 3 times 5 gives 15
  801.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  802.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  803.    wt: 1:   Subtraction with J Conversions Example
  804.    wt: 1:   9 22 Minute Subtraction Review Video
  805.    wt: 1:   8 Subtraction with Units of Measure
  806.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  807.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  808.    wt: 1:   2 Subtraction Easy Case Examples
  809.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  810.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  811.    wt: 1:   7 Adding decimal fractions using decimal point
  812.    wt: 1:   6. Counting and adding units and mixed units
  813.    wt: 1:   5. How to add decimals C. Examples
  814.    wt: 1:   4. How to add with decimals B with conversions
  815.    wt: 1:   3. How to add with decimals A sans conversions
  816.    wt: 1:   2 Decimal Counting Practices
  817.    wt: 1:   1. Explaining Addition Table
  818.    wt: 1:   11 Place Value SI Standard International way
  819.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  820.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  821.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  822.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  823.    wt: 1:   Exact Arithmetic Wholes and Fractions
  824.    wt: 1:   The 20 Times Table
  825.    wt: 1:   The 12 Times Table Visually
  826.    wt: 1:   About folder contents
  827.    wt: 1:   015 School and work day counting tables
  828.    wt: 1:   Example 1. Area Between x and x squared
  829.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  830.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  831.    wt: 1:   Example 4 with x function of y
  832.    wt: 1:   Example 3
  833.    wt: 1:   Example 2
  834.    wt: 1:   Example 1
  835.    wt: 1:   Area Between Curves Lesson Take 1
  836.    wt: 1:   Summary
  837.    wt: 1:   A Related lessons in Volume 3
  838.    wt: 1:   28 Chain Rule Preparation for a Proof
  839.    wt: 1:   22 Chain Rule for polynomials
  840.    wt: 1:   21 Chain Rule for powers
  841.    wt: 1:   20 Chain Rule for Pulley Systems
  842.    wt: 1:   19 Chain Rule for linear functions
  843.    wt: 1:   10 Power rule for negative integers
  844.    wt: 1:   3 Motivation for Limit Definition Take 2
  845.    wt: 1:   2 Motivation for Limit Definition Take 1
  846.    wt: 1:   7 Evaluation by immediate or delayed substitution
  847.    wt: 1:   5 Jumps and absence of unlimited error control
  848.    wt: 1:   3 Decimal insights for limits continuity convergence
  849.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  850.    wt: 1:   G.5 Motions With Bounded Velocities
  851.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  852.    wt: 1:   F.1 What Functions are Continuous
  853.    wt: 1:   E2 Algebraic Properties of Limits
  854.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  855.    wt: 1:   C Triangle Inequalities
  856.    wt: 1:   A1. Introduction
  857.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  858.    wt: 1:   Chapter 23 Links To Trigonometry
  859.    wt: 1:   Chapter 22 Complex Numbers
  860.    wt: 1:   Chapter 21 Arrow Addition
  861.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  862.    wt: 1:   Chapter 18. Slopes Areas Integration
  863.    wt: 1:   Chapter 17. Area Approximation
  864.    wt: 1:   Chapter 16. Velocity Approximation
  865.    wt: 1:   Chapter 15. Slope Approximation
  866.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  867.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  868.    wt: 1:   Chapter 13. Acceleration
  869.    wt: 1:   Chapter 12. Units and Slopes
  870.    wt: 1:   Chapter 11. Graphing Slope versus Position
  871.    wt: 1:   Chapter 10 Slopes and Units
  872.    wt: 1:   Chapter 9 About First Courses in Calculus
  873.    wt: 1:   Chapter 8. Slope Interpretation
  874.    wt: 1:   Chapter 7 Slopes and Velocity
  875.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  876.    wt: 1:   Chapter 5. Slope Sign Tests
  877.    wt: 1:   Chapter 3. Slope Sign Analysis
  878.    wt: 1:   Chapter 2. Slopes and Ski Trails
  879.    wt: 1:   Chapter 1.Introduction
  880.    wt: 1:   Fall 1983 Calculus Appetizer
  881.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  882.    wt: 1:   R Why Learn Mathematics Skills
  883.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  884.    wt: 1:   O On Learning Mathematics and Science
  885.    wt: 1:   L Skills with take home value
  886.    wt: 1:   N Improving Marks on Tests and Finals
  887.    wt: 1:   I. Logic and language skills
  888.    wt: 1:   H Jigsaw puzzles and problem solving
  889.    wt: 1:   C. Domino effect of being careful
  890.    wt: 1:   A. Skill has to be seen to believed
  891.    wt: 1:   How to Build Skills and Confidence
  892.    wt: 1:   Chapter 6 More Algebra and Geometry
  893.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  894.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  895.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  896.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  897.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  898.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  899.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  900.    wt: 1:   Helping the Blind in Logic and Mathematics
  901.    wt: 1:   Mathematics Education References
  902.    wt: 1:   Mathematics Education References
  903.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  904.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  905.    wt: 1:   Systematic Algebra Skill Development Missing Links
  906.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  907.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  908.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  909.    wt: 1:   Which Way To Go
  910.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  911.    wt: 1:   The Math Forum and Site Content

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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