Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: 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. Reform: look before you leap - plan all in detail first.

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

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  1.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 6:   Volume 2 Three Skills For Algebra/
  3.    wt: 5:   2 Formula Forward Use Evaluation/
  4.    wt: 4:   10 Examples of Algebraic Reasoning/
  5.    wt: 4:   8 Unifying Theme For Algebra/
  6.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  7.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  8.    wt: 3:   12 Function Translating and Rescaling/
  9.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  10.    wt: 3:   9 Proportionality Backwards and Forwards/
  11.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  12.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  13.    wt: 3:   D Decimal Long Division Methods/
  14.    wt: 3:   C Decimal Multiplication Methods/
  15.    wt: 3:   A Decimal Counting and Adding Methods/
  16.    wt: 3:   2 Arithmetic with Decimals/
  17.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  18.    wt: 2:   6 Trigonometry first steps/
  19.    wt: 2:   1 Maps Plans Measurement/
  20.    wt: 2:   B Real Numbers Extrinsic Development/
  21.    wt: 2:   A Origins of Counting and Figuring Methods/
  22.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  23.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  24.    wt: 2:   5 Real Numbers/
  25.    wt: 2:   4 Computation Rules and Function Notation/
  26.    wt: 2:   Step 4 Gaussian Elimination/
  27.    wt: 2:   Step 1 Stick diagram and fractions/
  28.    wt: 2:   3 Solving Linear Equations/
  29.    wt: 2:   1 Working With Sets/
  30.    wt: 2:   Algebra Starter Lessons/
  31.    wt: 2:   3 Prime Factorization Skills/
  32.    wt: 2:   Volume 1A Pattern Based Reason/
  33.    wt: 2:   Volume 1 Elements of Reason/
  34.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  35.    wt: 1:   Mathematics Skills Year by Year/
  36.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  37.    wt: 1:   4 Functions/
  38.    wt: 1:   3 Quadratics Geometrically/
  39.    wt: 1:   1 Five Polynomial Operations/
  40.    wt: 1:   More Algebra/
  41.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  42.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  43.    wt: 1:   13 Vectors/
  44.    wt: 1:   11 Parallel Straight Lines and Transversals/
  45.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  46.    wt: 1:   8 Unit Circle Trigonometry/
  47.    wt: 1:   7 Complex Numbers/
  48.    wt: 1:   5 What is Similarity/
  49.    wt: 1:   4 Lines and Slopes Take 1/
  50.    wt: 1:   3 Cartesian and Polar Coordinates/
  51.    wt: 1:   Geometry maps plans trigonometry vectors/
  52.    wt: 1:   11 Squares and Square Roots/
  53.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  54.    wt: 1:   9 Combinatorics Trees Tables and Products/
  55.    wt: 1:   8 Arithmetic with Signed Numbers/
  56.    wt: 1:   7 Arithmetic and Fractions with Units/
  57.    wt: 1:   6 Fractions and Ratios/
  58.    wt: 1:   5 Integers/
  59.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  60.    wt: 1:   1 Decimal Place Value/
  61.    wt: 1:   Arithmetic and Number Theory Skills/
  62.    wt: 1:   Time Date Matters/
  63.    wt: 1:   Skills with take home value/
  64.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  65.    wt: 1:   38 Lessons on Calculating Derivatives/
  66.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  67.    wt: 1:   Work and Study Tips/
  68.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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458 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  4.    wt: 4:   Chapter 8 Three Skills For Algebra
  5.    wt: 3:   02 21 words for teachers
  6.    wt: 3:   26 Formulas for products of sines and cosines
  7.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  8.    wt: 3:   12 cis formulas for sine cosines and tangent
  9.    wt: 3:   4 Equations for lines three forms
  10.    wt: 3:   12 GCD 2700 288 via Prime
  11.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  12.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  13.    wt: 3:   22 Chain Rule for polynomials
  14.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  15.    wt: 3:   Chapter 24 Direct and Indirect Reason
  16.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  17.    wt: 2:   Skills Chapter 3 Algebra
  18.    wt: 2:   Skills Chapter 2 Geometry
  19.    wt: 2:   three goals to set for students
  20.    wt: 2:   geometric implications for algebra
  21.    wt: 2:   teaching tutoring algebraic reason
  22.    wt: 2:   three goals for Mathematics Education
  23.    wt: 2:   02 20 mathematics education references
  24.    wt: 2:   three aims for mathematics students
  25.    wt: 2:   formal or informal peer review
  26.    wt: 2:   three kinds of reason in mathematics
  27.    wt: 2:   Prequel In For A Penny In For A Pound
  28.    wt: 2:   2 Conductance Resistance Duality02
  29.    wt: 2:   C Electromotive force conventional current02
  30.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  31.    wt: 2:   24 Standards For Skill Develoment Take II
  32.    wt: 2:   24 Standards For Skill Develoment
  33.    wt: 2:   22 Student Centered Highschool Mathematics
  34.    wt: 2:   12 Goals and Objectives For Mathematics
  35.    wt: 2:   2 Reading and Writing Skills
  36.    wt: 2:   Ages 12 to 14 Skills with take home value
  37.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  38.    wt: 2:   22 Square Root function graphically
  39.    wt: 2:   5 Function notation for geometric transformations
  40.    wt: 2:   2 Algebraic use of function notation
  41.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  42.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  43.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  44.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  45.    wt: 2:   12 motivation for term arctan
  46.    wt: 2:   29 secant cosecant and cotangent for acute angles
  47.    wt: 2:   25 tangent double angle formula Slope connection
  48.    wt: 2:   24 tangent Angle Difference Formula
  49.    wt: 2:   21 sine and cosine Half Angle Formulas
  50.    wt: 2:   20 sine and cosine Double Angle Formulas
  51.    wt: 2:   17E Trig Formulas for dot and cross Products
  52.    wt: 2:   17D cis formulas for sine cosines and tangent
  53.    wt: 2:   12 Graph of tangent function for one period
  54.    wt: 2:   13 Trig Formulas for dot and cross Products
  55.    wt: 2:   2 point slope equation for a line
  56.    wt: 2:   PS H Distributive Law For Complex Numbers
  57.    wt: 2:   22 Multiplication of Signed Numbers
  58.    wt: 2:   4 Commutative Law Groups Counting Form
  59.    wt: 2:   2 Combing Counts Addition Skills and Principles
  60.    wt: 2:   2 Algebraic View
  61.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  62.    wt: 2:   2 More and Less Than for Counts and Measures
  63.    wt: 2:   8 Coordinates for Maps and Planes
  64.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  65.    wt: 2:   2 Essentially one exercises three with solution
  66.    wt: 2:   2 Three Examples
  67.    wt: 2:   2 Three Examples
  68.    wt: 2:   Formula Usage Show Work Format
  69.    wt: 2:   2 Another Rectangle Area Formula Example
  70.    wt: 2:   1 Written work formats for developing and showing skill
  71.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  72.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  73.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  74.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  75.    wt: 2:   3 signed coordinates for maps and planes
  76.    wt: 2:   22 Complex Compound Fractions
  77.    wt: 2:   21 Reciprocals for Fractions and Wholes
  78.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  79.    wt: 2:   26 Divisibility by 2 3 5 Example
  80.    wt: 2:   23 Remainder Arithmetic Modulo 2
  81.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  82.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  83.    wt: 2:   Long Division forwards and backwards Example 2
  84.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  85.    wt: 2:   9 22 Minute Subtraction Review Video
  86.    wt: 2:   38 Formulas and derivatives for powers and roots
  87.    wt: 2:   28 Chain Rule Preparation for a Proof
  88.    wt: 2:   21 Chain Rule for powers
  89.    wt: 2:   20 Chain Rule for Pulley Systems
  90.    wt: 2:   3 Motivation for Limit Definition Take 2
  91.    wt: 2:   2 Motivation for Limit Definition Take 1
  92.    wt: 2:   2 Algebraic codification
  93.    wt: 2:   E2 Algebraic Properties of Limits
  94.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  95.    wt: 2:   Chapter 22 Complex Numbers
  96.    wt: 2:   Postscript For Better Performance
  97.    wt: 2:   Chapter 31 Direct and Indirect Reason
  98.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  99.    wt: 2:   Chapter 23. Notation For Sums
  100.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  101.    wt: 2:   Chapter 18. Rules for Algebra
  102.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  103.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  104.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  105.    wt: 2:   Chapter 2 For and Against Mathematics
  106.    wt: 2:   Postscript C Consistency as a Tool for Reason
  107.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  108.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  109.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  110.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  111.    wt: 2:   G. Written work formats for developing and showing skill
  112.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  113.    wt: 1:   Appendix 2 primary school Arithmetic 01
  114.    wt: 1:   G LAMP Introduction Problem Solving Skills
  115.    wt: 1:   Skills Chapter 5 Calculus
  116.    wt: 1:   Skills Chapter 4 Logic
  117.    wt: 1:   Ramblings Introduction Algebra Essay
  118.    wt: 1:   Skills Chapter 1 Arithmetic
  119.    wt: 1:   Skills Chapter 0 Introduction
  120.    wt: 1:   4 algebra
  121.    wt: 1:   2 arithmetic with signed numbers
  122.    wt: 1:   permissions for teachers
  123.    wt: 1:   Applied Maths Program14092009 POMME variant
  124.    wt: 1:   activities for students
  125.    wt: 1:   Postscript 2007 01 10
  126.    wt: 1:   Education Reform Inconsistencies
  127.    wt: 1:   Maps Plans Drawings
  128.    wt: 1:   Secondary Three Mathematics
  129.    wt: 1:   talk the algebra talk
  130.    wt: 1:   three difficulties
  131.    wt: 1:   teaching tips
  132.    wt: 1:   Lessening Algebra Difficulties
  133.    wt: 1:   the trouble with algebra
  134.    wt: 1:   04 29 New Mathematics Curriculum
  135.    wt: 1:   04 25 when to stop or suspend mathemat
  136.    wt: 1:   standards for course material
  137.    wt: 1:   Different Kinds of Reasoning in maths
  138.    wt: 1:   Four ways to improve education reform
  139.    wt: 1:   need for a mixed mathematics curriculum
  140.    wt: 1:   fairness and inductive principles for instruction
  141.    wt: 1:   words for mathematics instructor
  142.    wt: 1:   chapitre 12 00 les iles et division
  143.    wt: 1:   chapitre 04 02 Deuxieme enigme
  144.    wt: 1:   chapitre 02 00 La Communication des idees
  145.    wt: 1:   2 Energy Power Heat07
  146.    wt: 1:   B Energy Power02
  147.    wt: 1:   D Wire Resistance Calculation02
  148.    wt: 1:   B Wire Resistance Qualitative02
  149.    wt: 1:   2 Unlike resistors in parallel01
  150.    wt: 1:   H Series Circuit02
  151.    wt: 1:   B Electromotive force conventional current01
  152.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  153.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  154.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  155.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  156.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  157.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  158.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  159.    wt: 1:   17 Math Booklets for children and young teenagers
  160.    wt: 1:   16 Secondary Mathematics Tips
  161.    wt: 1:   15 Counting For Parents
  162.    wt: 1:   10 Ends values for work study instruction
  163.    wt: 1:   5 Patience Please for Yourself and Your Charges
  164.    wt: 1:   4 Learning Takes Time and Effort
  165.    wt: 1:   3 Preparing for Science Studies
  166.    wt: 1:   1 Speaking Skills
  167.    wt: 1:   Ages 12 to 14 Geometry
  168.    wt: 1:   Ages 12 to 14 Arithmetic
  169.    wt: 1:   Ages 10 to 12 Geometry
  170.    wt: 1:   Ages 10 to 12 Arithmetic
  171.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  172.    wt: 1:   sign monoticity analysis example 2
  173.    wt: 1:   26 Function definitions done and coming
  174.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  175.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  176.    wt: 1:   23 Inverse Functions
  177.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  178.    wt: 1:   20 Interchanging coordinates a reflection
  179.    wt: 1:   12 Function Domain Recognition Exercises
  180.    wt: 1:   6 Set Existence Formation and Notation
  181.    wt: 1:   3 Formula or function graphing exercise
  182.    wt: 1:   8 quadratics backward use of various formulas
  183.    wt: 1:   7 quadratic formulla derivation
  184.    wt: 1:   2 quadratics graphing in general
  185.    wt: 1:   Quadratics in 10 steps
  186.    wt: 1:   2 Square Root Simplification a prequel
  187.    wt: 1:   8 Notes for instructors or tutors
  188.    wt: 1:   2 Column Multiplication Method
  189.    wt: 1:   Rewriting algebraic substitution as function substitutions
  190.    wt: 1:   9 motivation for name arcsin
  191.    wt: 1:   4 possible motivation for term arccos
  192.    wt: 1:   2 cosine function more properties
  193.    wt: 1:   2 Radian Measure Numerical Value of one degree
  194.    wt: 1:   12 From Applied To Pure Mathematics
  195.    wt: 1:   2 Signed Coordinates
  196.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  197.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  198.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  199.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  200.    wt: 1:   12 Straight Lines Graphing mx plus b
  201.    wt: 1:   8 Straight Lines Equation for vertical
  202.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  203.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  204.    wt: 1:   17 tangent function angle sum formulas
  205.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  206.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  207.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  208.    wt: 1:   32 seven rows of pascals triangle
  209.    wt: 1:   28 Expressing products of sines cosines as sums
  210.    wt: 1:   27 Logarithmic use of products of sines and cosines
  211.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  212.    wt: 1:   17C sine and cosine double triple angle formulas
  213.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  214.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  215.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  216.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  217.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  218.    wt: 1:   2 Quadrant I reference Angles
  219.    wt: 1:   21 Logarithms Powers and Exponentials
  220.    wt: 1:   20 N th Roots of Complex Numbers
  221.    wt: 1:   11 sine and cosine double triple angle formulas
  222.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  223.    wt: 1:   2 Complex Numbers made easier we hope
  224.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  225.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  226.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  227.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  228.    wt: 1:   12 Triangles Similarity More Problems
  229.    wt: 1:   2 Similarity By Design
  230.    wt: 1:   12 Links Lessons elsewhere
  231.    wt: 1:   8 Mid Point Formula
  232.    wt: 1:   5 Algebraic View of Slopes
  233.    wt: 1:   3 Slope product for perpendicular lines
  234.    wt: 1:   13 Pythagorean spatial distance formulas
  235.    wt: 1:   12 Spatial Coordinates
  236.    wt: 1:   10 Pythagorean plane distance formula
  237.    wt: 1:   2 Cartesian Coordinates with signs
  238.    wt: 1:   PS G Rotation Distributes over Addition
  239.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  240.    wt: 1:   PS E Multiplication with Polar Coordinates
  241.    wt: 1:   PS D Addition with Cartesian Coordinates
  242.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  243.    wt: 1:   PS B Parallelogram Construction Methods
  244.    wt: 1:   PS A Kite Construction Methods
  245.    wt: 1:   21 Parallelograms
  246.    wt: 1:   12 Side Angle Side Failure
  247.    wt: 1:   2 Correspondence between Triangles
  248.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  249.    wt: 1:   6 Figuring with Maps Not to Scale
  250.    wt: 1:   4 Angles on Maps Plans drawn to scale
  251.    wt: 1:   3 Lengths and Areas on Maps and Plans
  252.    wt: 1:   2 Measuring Area Directly
  253.    wt: 1:   26 More Less Greater Than Comparison
  254.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  255.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  256.    wt: 1:   23 Distributive Law Two Derivations
  257.    wt: 1:   21 Addition of Multiples of a Single Vector
  258.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  259.    wt: 1:   12 Real Numbers Line Signed Coordinates
  260.    wt: 1:   2 Counting Digits in Decimal Multiplication
  261.    wt: 1:   C Three Decimal Subtraction Methods
  262.    wt: 1:   6 Column Methods for Decimal Multiplication
  263.    wt: 1:   5 Distributive Law for Whole Numbers
  264.    wt: 1:   3 Multiplicative Counting Skills Principles
  265.    wt: 1:   3 Inequalities Algebraically
  266.    wt: 1:   2 Fraction Operations Physical Development
  267.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  268.    wt: 1:   6 Compound Interest Forward and Backwards
  269.    wt: 1:   5 Triangle Area Formula Backwards
  270.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  271.    wt: 1:   2 Linear Equation Literal Solution
  272.    wt: 1:   5 Equality in Algebra
  273.    wt: 1:   3 Product Axioms Two Forms
  274.    wt: 1:   2 Addition and Multiplication Axioms
  275.    wt: 1:   12 Real Number Additive Inverses or Negatives
  276.    wt: 1:   9 Coordinates for Regions in Space
  277.    wt: 1:   2 Integers
  278.    wt: 1:   3 Geometric Formulas and Function Notation
  279.    wt: 1:   2 Computation Rules Evaluation
  280.    wt: 1:   1 Formulas Dependence and Function Notation
  281.    wt: 1:   2 GE II Comparison
  282.    wt: 1:   6 Algebraic Solution Example
  283.    wt: 1:   5 Algebraic Solutions Introduction
  284.    wt: 1:   9 Three Examples
  285.    wt: 1:   6 Three Examples
  286.    wt: 1:   5 Three Examples
  287.    wt: 1:   Using Letters for Physical Quantities
  288.    wt: 1:   13 Naming Identifying Formulas with Words
  289.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  290.    wt: 1:   8 Compound Interest Formula Evaluation
  291.    wt: 1:   7 Compound Interest Formula Introduction
  292.    wt: 1:   5 Box Volume Formula Example
  293.    wt: 1:   4 Circle Area Formula Example
  294.    wt: 1:   3 Triangle Area Formula Example
  295.    wt: 1:   2 Venn Diagrams
  296.    wt: 1:   6 Three Notions of What is a Variable
  297.    wt: 1:   4 A Brief Story of numbers and algebra
  298.    wt: 1:   2 What is a Variable
  299.    wt: 1:   arithmetic videos Real Player Format
  300.    wt: 1:   2 More and Less Than with Unlike Signs
  301.    wt: 1:   1 More and Less Than for Counts and Measures
  302.    wt: 1:   2 Square Roots with Prime
  303.    wt: 1:   2 Least Common Multiple LCM intro via list method
  304.    wt: 1:   2 Counting with Tables and Trees I
  305.    wt: 1:   4 signed coordinates for regions in space
  306.    wt: 1:   2 signed and unsigned numbers as coordinates
  307.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  308.    wt: 1:   2 Equality and Units
  309.    wt: 1:   D Three Term Ratios
  310.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  311.    wt: 1:   21 Working With Signs
  312.    wt: 1:   20 Dividing Fractions the Why
  313.    wt: 1:   13 Fraction Comparison Algebraic View
  314.    wt: 1:   12 Fraction Comparison
  315.    wt: 1:   11 Simplification an Algebraic View
  316.    wt: 1:   6 Multiplication Algebraically Take II
  317.    wt: 1:   2 Unit Fraction Multiplication
  318.    wt: 1:   12 Adding Integers More Examples
  319.    wt: 1:   11 Adding Integers Formulas and Examples
  320.    wt: 1:   10 Integer Multiplication Formulas
  321.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  322.    wt: 1:   21 Remainder Arithmetic Modulo 3
  323.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  324.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  325.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  326.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  327.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  328.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  329.    wt: 1:   20 Uniqueness of Prime Factorization
  330.    wt: 1:   15 video Factors of 20 using Prime Factorization
  331.    wt: 1:   14 video Factors of 24 Take II
  332.    wt: 1:   13 video Factors of 24 using prime
  333.    wt: 1:   12 LCD GCD and LCM using Primes
  334.    wt: 1:   10 video Prime Factorization upto 23 squared
  335.    wt: 1:   2 Prime and Composites less than 16
  336.    wt: 1:   Long Division forwards and backwards Example 3
  337.    wt: 1:   Long Division forwards and backwards Example 1
  338.    wt: 1:   12 Why Long Division Works Take III
  339.    wt: 1:   4 Division with 2 Digit Divsors
  340.    wt: 1:   2 Division with Single Digit Divisors
  341.    wt: 1:   A Elementary Basis for Multiplication Methods
  342.    wt: 1:   4 Two and Three Digit Multipliers
  343.    wt: 1:   2 One Digit Multipliers
  344.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  345.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  346.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  347.    wt: 1:   5 A Tip for Efficent Subtraction
  348.    wt: 1:   2 Subtraction Easy Case Examples
  349.    wt: 1:   8 What skills and work habits to require
  350.    wt: 1:   2 Decimal Counting Practices
  351.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  352.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  353.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  354.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  355.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  356.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  357.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  358.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  359.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  360.    wt: 1:   Quick history of numbers and algebra
  361.    wt: 1:   Formula Evaluation how to show work
  362.    wt: 1:   The 20 Times Table
  363.    wt: 1:   The 12 Times Table Visually
  364.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  365.    wt: 1:   012 Division of Time Intervals by Time Intervals
  366.    wt: 1:   2 Time and Date Matters in School
  367.    wt: 1:   1 Intro of Kids To Time Date Skills
  368.    wt: 1:   Example 2 volume of a cone
  369.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  370.    wt: 1:   Example 2
  371.    wt: 1:   Area Between Curves Lesson Take 2
  372.    wt: 1:   2 Indefinite Integrals Exercises
  373.    wt: 1:   2 Second derivative test prequel
  374.    wt: 1:   29 Chain Rule Optional Reading
  375.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  376.    wt: 1:   26 Chain Rule Recognising outer inner functions
  377.    wt: 1:   25 Chain Rule Animated Examples Continued
  378.    wt: 1:   24 Chain Rule Animated Examples
  379.    wt: 1:   23 Chain Rule in general
  380.    wt: 1:   19 Chain Rule for linear functions
  381.    wt: 1:   14 sine and cosine derivatives 2nd step
  382.    wt: 1:   12 Quotient rule examples
  383.    wt: 1:   10 Power rule for negative integers
  384.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  385.    wt: 1:   11 Limits at infinity Three Examples
  386.    wt: 1:   10 Three one sided limits with infinite values
  387.    wt: 1:   5 Jumps and absence of unlimited error control
  388.    wt: 1:   3 Decimal insights for limits continuity convergence
  389.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  390.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  391.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  392.    wt: 1:   F.2 Closed Range Theorem
  393.    wt: 1:   D2 Limits of Monotone Sequences
  394.    wt: 1:   PostScript For and Against Decimal Perspectives
  395.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  396.    wt: 1:   Chapter 23 Links To Trigonometry
  397.    wt: 1:   Chapter 21 Arrow Addition
  398.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  399.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  400.    wt: 1:   Chapter 12. Units and Slopes
  401.    wt: 1:   Chapter 2. Slopes and Ski Trails
  402.    wt: 1:   Foreword
  403.    wt: 1:   Postscript More on Better Performance
  404.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  405.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  406.    wt: 1:   Chapter 28 Occurrence Tables
  407.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  408.    wt: 1:   Chapter 25. Mathematical Induction Examples
  409.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  410.    wt: 1:   Chapter 21. Third Reading Guide
  411.    wt: 1:   Chapter 20. Degrees and Radians
  412.    wt: 1:   Chapter 12. Shorthand Usage Guide
  413.    wt: 1:   Solutions For Arithmetic Exercises
  414.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  415.    wt: 1:   Chapter 4 Longer Chains of Reason
  416.    wt: 1:   Chapter 3 Chains of Reason
  417.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  418.    wt: 1:   Foreword
  419.    wt: 1:   Postscript A Three Remarks
  420.    wt: 1:   Chapter 12 Four Phases
  421.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  422.    wt: 1:   Chapter 3 Algebra Difficulties
  423.    wt: 1:   Foreword
  424.    wt: 1:   Postscript B More on Story Telling and Reason
  425.    wt: 1:   Chapter 23 Truth Tables
  426.    wt: 1:   Chapter 21 Occurrence Tables
  427.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  428.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  429.    wt: 1:   Chapter 7 Longer Chains of Reason
  430.    wt: 1:   Chapter 6 Chains of Reason
  431.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  432.    wt: 1:   Chapter 2 Skill Development
  433.    wt: 1:   Three Remarks
  434.    wt: 1:   Foreword
  435.    wt: 1:   S Adding words to algebra
  436.    wt: 1:   R Why Learn Mathematics Skills
  437.    wt: 1:   N Mathematics Prepare for College Studies
  438.    wt: 1:   L Skills with take home value
  439.    wt: 1:   I. Logic and language skills
  440.    wt: 1:   How to Build Skills and Confidence
  441.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  442.    wt: 1:   Chapter 6 More Algebra and Geometry
  443.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  444.    wt: 1:   Chapter 3 Algebra Starter Lessons
  445.    wt: 1:   Chapter 2 Why Sets
  446.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  447.    wt: 1:   7 Games and Activities for Instruction
  448.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  449.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  450.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  451.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  452.    wt: 1:   More Algebra and Slope based Calculus Preview
  453.    wt: 1:   Systematic Algebra Skill Development Missing Links
  454.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  455.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  456.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  457.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  458.    wt: 1:   The Math Forum and Site Content

Extended Search

1011 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 9:   Chapter 23. Notation For Sums
  4.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  5.    wt: 8:   Postscript For Better Performance
  6.    wt: 8:   Chapter 31 Direct and Indirect Reason
  7.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  8.    wt: 8:   Chapter 28 Occurrence Tables
  9.    wt: 8:   Chapter 27 Shorthand Symbols as Pronouns
  10.    wt: 8:   Chapter 25. Mathematical Induction Examples
  11.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  12.    wt: 8:   Chapter 21. Third Reading Guide
  13.    wt: 8:   Chapter 20. Degrees and Radians
  14.    wt: 8:   Chapter 18. Rules for Algebra
  15.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  16.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  17.    wt: 8:   Chapter 12. Shorthand Usage Guide
  18.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  19.    wt: 7:   6 Algebraic Solution Example
  20.    wt: 7:   5 Algebraic Solutions Introduction
  21.    wt: 7:   2 Another Rectangle Area Formula Example
  22.    wt: 7:   1 Written work formats for developing and showing skill
  23.    wt: 7:   Postscript More on Better Performance
  24.    wt: 7:   Appendix B. How To Learn
  25.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  26.    wt: 7:   Solutions For Arithmetic Exercises
  27.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  28.    wt: 7:   Chapter 4 Longer Chains of Reason
  29.    wt: 7:   Chapter 3 Chains of Reason
  30.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  31.    wt: 7:   Foreword
  32.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  33.    wt: 6:   PS H Distributive Law For Complex Numbers
  34.    wt: 6:   PS B Parallelogram Construction Methods
  35.    wt: 6:   2 Algebraic View
  36.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  37.    wt: 6:   2 Essentially one exercises three with solution
  38.    wt: 6:   4 Four Examples Fractional Coefficients
  39.    wt: 6:   3 Four Examples
  40.    wt: 6:   1 Proper Equal Sign Usage
  41.    wt: 6:   13 Naming Identifying Formulas with Words
  42.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  43.    wt: 6:   8 Compound Interest Formula Evaluation
  44.    wt: 6:   7 Compound Interest Formula Introduction
  45.    wt: 6:   5 Box Volume Formula Example
  46.    wt: 6:   4 Circle Area Formula Example
  47.    wt: 6:   3 Triangle Area Formula Example
  48.    wt: 6:   1 Three Skills For Algebra
  49.    wt: 6:   Long Division forwards and backwards Example 2
  50.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  51.    wt: 6:   9 22 Minute Subtraction Review Video
  52.    wt: 6:   2 Subtraction Easy Case Examples
  53.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  54.    wt: 6:   Appendix E. How To Study Mathematics and Why
  55.    wt: 6:   Appendix D. What to do in School and Why
  56.    wt: 6:   Appendix C. How to Read
  57.    wt: 6:   Chapter 30 Truth Tables
  58.    wt: 6:   Chapter 19. Functions and Sets
  59.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  60.    wt: 6:   Chapter 16. Painless Theorem Proving
  61.    wt: 6:   Chapter 15. Solving Linear Equations
  62.    wt: 6:   Chapter 13. Second Reading Guide
  63.    wt: 6:   Chapter 11. Why Shorthand
  64.    wt: 6:   Chapter 10 Describing and Changing Calculations
  65.    wt: 6:   Postscript What is a Variable
  66.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  67.    wt: 6:   Chapter 6 Change of Language
  68.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  69.    wt: 6:   Chapter 24 Direct and Indirect Reason
  70.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  71.    wt: 5:   22 Square Root function graphically
  72.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  73.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  74.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  75.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  76.    wt: 5:   2 Square Root Simplification a prequel
  77.    wt: 5:   26 Formulas for products of sines and cosines
  78.    wt: 5:   12 cis formulas for sine cosines and tangent
  79.    wt: 5:   PS G Rotation Distributes over Addition
  80.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  81.    wt: 5:   PS E Multiplication with Polar Coordinates
  82.    wt: 5:   PS D Addition with Cartesian Coordinates
  83.    wt: 5:   PS C Similarity Use Recognize it in Trigonometry
  84.    wt: 5:   PS A Kite Construction Methods
  85.    wt: 5:   21 Parallelograms
  86.    wt: 5:   12 Side Angle Side Failure
  87.    wt: 5:   2 Correspondence between Triangles
  88.    wt: 5:   2 Combing Counts Addition Skills and Principles
  89.    wt: 5:   3 Inequalities Algebraically
  90.    wt: 5:   2 Fraction Operations Physical Development
  91.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  92.    wt: 5:   6 Compound Interest Forward and Backwards
  93.    wt: 5:   5 Triangle Area Formula Backwards
  94.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  95.    wt: 5:   2 Linear Equation Literal Solution
  96.    wt: 5:   2 Three Examples
  97.    wt: 5:   11 Volume of Sphere
  98.    wt: 5:   10 Volume of Pyramid
  99.    wt: 5:   9 Volume of Cone
  100.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  101.    wt: 5:   2 More and Less Than with Unlike Signs
  102.    wt: 5:   Long Division forwards and backwards Example 3
  103.    wt: 5:   12 Why Long Division Works Take III
  104.    wt: 5:   2 Division with Single Digit Divisors
  105.    wt: 5:   2 One Digit Multipliers
  106.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  107.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  108.    wt: 5:   Video Power Notation in Decimal Expansion
  109.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  110.    wt: 5:   5 A Tip for Efficent Subtraction
  111.    wt: 5:   2 Decimal Counting Practices
  112.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  113.    wt: 5:   Postscript C Consistency as a Tool for Reason
  114.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  115.    wt: 4:   three goals for Mathematics Education
  116.    wt: 4:   02 21 words for teachers
  117.    wt: 4:   22 Student Centered Highschool Mathematics
  118.    wt: 4:   Ages 12 to 14 Skills with take home value
  119.    wt: 4:   2 Algebraic use of function notation
  120.    wt: 4:   12 motivation for term arctan
  121.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  122.    wt: 4:   8 Straight Lines Equation for vertical
  123.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  124.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  125.    wt: 4:   29 secant cosecant and cotangent for acute angles
  126.    wt: 4:   25 tangent double angle formula Slope connection
  127.    wt: 4:   24 tangent Angle Difference Formula
  128.    wt: 4:   21 sine and cosine Half Angle Formulas
  129.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  130.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  131.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  132.    wt: 4:   4 Equations for lines three forms
  133.    wt: 4:   2 point slope equation for a line
  134.    wt: 4:   22 Multiplication of Signed Numbers
  135.    wt: 4:   21 Addition of Multiples of a Single Vector
  136.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  137.    wt: 4:   12 Real Numbers Line Signed Coordinates
  138.    wt: 4:   4 Commutative Law Groups Counting Form
  139.    wt: 4:   5 Areas of Rectangles Revisited
  140.    wt: 4:   4 Fraction Operations Axiomatic Development
  141.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  142.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  143.    wt: 4:   3 Linear Equation Literal Solution More
  144.    wt: 4:   1 Changing Calculations
  145.    wt: 4:   2 More and Less Than for Counts and Measures
  146.    wt: 4:   12 Real Number Additive Inverses or Negatives
  147.    wt: 4:   8 Coordinates for Maps and Planes
  148.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  149.    wt: 4:   2 GE II Comparison
  150.    wt: 4:   Formula Usage Show Work Format
  151.    wt: 4:   1 More and Less Than for Counts and Measures
  152.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  153.    wt: 4:   12 GCD 2700 288 via Prime
  154.    wt: 4:   3 signed coordinates for maps and planes
  155.    wt: 4:   22 Complex Compound Fractions
  156.    wt: 4:   21 Reciprocals for Fractions and Wholes
  157.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  158.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  159.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  160.    wt: 4:   20 Uniqueness of Prime Factorization
  161.    wt: 4:   12 LCD GCD and LCM using Primes
  162.    wt: 4:   2 Prime and Composites less than 16
  163.    wt: 4:   Long Division Backwards more
  164.    wt: 4:   Long Division Backward
  165.    wt: 4:   Long Division forwards and backwards Example 1
  166.    wt: 4:   4 Division with 2 Digit Divsors
  167.    wt: 4:   A Elementary Basis for Multiplication Methods
  168.    wt: 4:   4 Two and Three Digit Multipliers
  169.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  170.    wt: 4:   Subtraction with J Conversions Example
  171.    wt: 4:   Subtraction Another Video Lesson
  172.    wt: 4:   8 Subtraction with Units of Measure
  173.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  174.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  175.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  176.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  177.    wt: 4:   8 What skills and work habits to require
  178.    wt: 4:   22 Chain Rule for polynomials
  179.    wt: 4:   21 Chain Rule for powers
  180.    wt: 4:   Chapter 22 Complex Numbers
  181.    wt: 4:   Chapter 2 For and Against Mathematics
  182.    wt: 4:   Postscript B More on Story Telling and Reason
  183.    wt: 4:   Chapter 23 Truth Tables
  184.    wt: 4:   Chapter 21 Occurrence Tables
  185.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  186.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  187.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  188.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  189.    wt: 4:   Chapter 2 Skill Development
  190.    wt: 4:   Three Remarks
  191.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  192.    wt: 3:   Skills Chapter 2 Geometry
  193.    wt: 3:   2 arithmetic with signed numbers
  194.    wt: 3:   geometric implications for algebra
  195.    wt: 3:   teaching tutoring algebraic reason
  196.    wt: 3:   Lessening Algebra Difficulties
  197.    wt: 3:   the trouble with algebra
  198.    wt: 3:   02 20 mathematics education references
  199.    wt: 3:   three aims for mathematics students
  200.    wt: 3:   three kinds of reason in mathematics
  201.    wt: 3:   Prequel In For A Penny In For A Pound
  202.    wt: 3:   B Energy Power02
  203.    wt: 3:   2 Conductance Resistance Duality02
  204.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  205.    wt: 3:   24 Standards For Skill Develoment Take II
  206.    wt: 3:   24 Standards For Skill Develoment
  207.    wt: 3:   12 Goals and Objectives For Mathematics
  208.    wt: 3:   2 Reading and Writing Skills
  209.    wt: 3:   Ages 12 to 14 Geometry
  210.    wt: 3:   Ages 12 to 14 Arithmetic
  211.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  212.    wt: 3:   sign monoticity analysis example 2
  213.    wt: 3:   26 Function definitions done and coming
  214.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  215.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  216.    wt: 3:   23 Inverse Functions
  217.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  218.    wt: 3:   20 Interchanging coordinates a reflection
  219.    wt: 3:   12 Function Domain Recognition Exercises
  220.    wt: 3:   5 Function notation for geometric transformations
  221.    wt: 3:   11 Growth and Decay in Biology
  222.    wt: 3:   10 Exponential Growth and Decay Models
  223.    wt: 3:   5 Natural Logarithm Calculator Exercises
  224.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  225.    wt: 3:   1 Calculator Starter Exercises
  226.    wt: 3:   12 From Applied To Pure Mathematics
  227.    wt: 3:   2 Signed Coordinates
  228.    wt: 3:   4 graphing y=Asin(x c)
  229.    wt: 3:   3 graphing y=f(x c) plus K
  230.    wt: 3:   1 graphing y=f(x a)
  231.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  232.    wt: 3:   C Straight Lines Slope from Coordinates
  233.    wt: 3:   B Straight Line Slope Scaling Properties More
  234.    wt: 3:   A Straight Line Slope Scaling Properties
  235.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  236.    wt: 3:   12 Straight Lines Graphing mx plus b
  237.    wt: 3:   11 Straight Lines Graphing y=mx
  238.    wt: 3:   7 Tangent Function is odd on this domain
  239.    wt: 3:   5 Tangent Function Graph
  240.    wt: 3:   4 Tangent Function Properties
  241.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  242.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  243.    wt: 3:   28 Expressing products of sines cosines as sums
  244.    wt: 3:   27 Logarithmic use of products of sines and cosines
  245.    wt: 3:   20 sine and cosine Double Angle Formulas
  246.    wt: 3:   17E Trig Formulas for dot and cross Products
  247.    wt: 3:   17D cis formulas for sine cosines and tangent
  248.    wt: 3:   12 Graph of tangent function for one period
  249.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  250.    wt: 3:   21 Logarithms Powers and Exponentials
  251.    wt: 3:   20 N th Roots of Complex Numbers
  252.    wt: 3:   13 Trig Formulas for dot and cross Products
  253.    wt: 3:   2 Complex Numbers made easier we hope
  254.    wt: 3:   8 Triangles Cascade Problem Solving
  255.    wt: 3:   7 Trignometric Ratios Unit Circle
  256.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  257.    wt: 3:   3 Trigonometric Ratios sine and cosine
  258.    wt: 3:   12 Triangles Similarity More Problems
  259.    wt: 3:   2 Similarity By Design
  260.    wt: 3:   12 Links Lessons elsewhere
  261.    wt: 3:   12 Spatial Coordinates
  262.    wt: 3:   2 Cartesian Coordinates with signs
  263.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  264.    wt: 3:   19 Right Triangle Similarity
  265.    wt: 3:   18 Triangle Similarity Take 1
  266.    wt: 3:   17 Right Bisectors of Triangle Sides
  267.    wt: 3:   16 Angles Subtended By Chords and Diameters
  268.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  269.    wt: 3:   14 Parallel Lines Postulate
  270.    wt: 3:   13 Angle Side Angle Failure
  271.    wt: 3:   11 Triangle Construction Fails
  272.    wt: 3:   10 Dropping a perpendicular to line
  273.    wt: 3:   9 Construction of a right bisector
  274.    wt: 3:   8 Isoceles Triangles
  275.    wt: 3:   7 Angle Side Angle
  276.    wt: 3:   6 Ruler and compass Angle Bisection
  277.    wt: 3:   5 Side Angle Side
  278.    wt: 3:   4 Side Side Side
  279.    wt: 3:   3 Isometry of Triangles Congruence
  280.    wt: 3:   1 Initial Concepts and Terms
  281.    wt: 3:   Short Course on Euclidean Geometry
  282.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  283.    wt: 3:   6 Figuring with Maps Not to Scale
  284.    wt: 3:   4 Angles on Maps Plans drawn to scale
  285.    wt: 3:   3 Lengths and Areas on Maps and Plans
  286.    wt: 3:   2 Measuring Area Directly
  287.    wt: 3:   26 More Less Greater Than Comparison
  288.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  289.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  290.    wt: 3:   23 Distributive Law Two Derivations
  291.    wt: 3:   19 Signed Multiples of Vectors
  292.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  293.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  294.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  295.    wt: 3:   15 Head to Tails in place Addition Associative
  296.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  297.    wt: 3:   13 Arrows and Vectors in a Plane
  298.    wt: 3:   11 Signed Number Addition and Addition Properties
  299.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  300.    wt: 3:   2 Counting Digits in Decimal Multiplication
  301.    wt: 3:   C Three Decimal Subtraction Methods
  302.    wt: 3:   6 Column Methods for Decimal Multiplication
  303.    wt: 3:   5 Distributive Law for Whole Numbers
  304.    wt: 3:   3 Multiplicative Counting Skills Principles
  305.    wt: 3:   5 Proportionality in Equivalent Fractions
  306.    wt: 3:   4 Rates Ratios and Proporitionality
  307.    wt: 3:   3 Proportionality Examples
  308.    wt: 3:   1 What is Proportionality
  309.    wt: 3:   5 Equality in Algebra
  310.    wt: 3:   3 Product Axioms Two Forms
  311.    wt: 3:   2 Addition and Multiplication Axioms
  312.    wt: 3:   16 Real Numbers Comparison
  313.    wt: 3:   15 Real Number Division
  314.    wt: 3:   14 Real Number Multiplication
  315.    wt: 3:   13 Real Number Subtraction
  316.    wt: 3:   11 Real Number Addition
  317.    wt: 3:   10 Real Number Lengths and Signs
  318.    wt: 3:   9 Coordinates for Regions in Space
  319.    wt: 3:   2 Integers
  320.    wt: 3:   3 Geometric Formulas and Function Notation
  321.    wt: 3:   2 Computation Rules Evaluation
  322.    wt: 3:   1 Formulas Dependence and Function Notation
  323.    wt: 3:   4 Solving a triangular system exercise
  324.    wt: 3:   3 Solving triangular system example
  325.    wt: 3:   1 Essentially One Unknown
  326.    wt: 3:   9 Three Examples
  327.    wt: 3:   6 Three Examples
  328.    wt: 3:   5 Three Examples
  329.    wt: 3:   Using Letters for Physical Quantities
  330.    wt: 3:   2 Venn Diagrams
  331.    wt: 3:   6 Three Notions of What is a Variable
  332.    wt: 3:   4 A Brief Story of numbers and algebra
  333.    wt: 3:   2 What is a Variable
  334.    wt: 3:   4 Greater More Less Than Signs in General
  335.    wt: 3:   3 Comparison of Negative Numbers
  336.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  337.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  338.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  339.    wt: 3:   2 signed and unsigned numbers as coordinates
  340.    wt: 3:   21 Working With Signs
  341.    wt: 3:   20 Dividing Fractions the Why
  342.    wt: 3:   2 Unit Fraction Multiplication
  343.    wt: 3:   12 Adding Integers More Examples
  344.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  345.    wt: 3:   26 Divisibility by 2 3 5 Example
  346.    wt: 3:   23 Remainder Arithmetic Modulo 2
  347.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  348.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  349.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  350.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  351.    wt: 3:   15 video Factors of 20 using Prime Factorization
  352.    wt: 3:   14 video Factors of 24 Take II
  353.    wt: 3:   13 video Factors of 24 using prime
  354.    wt: 3:   10 video Prime Factorization upto 23 squared
  355.    wt: 3:   Division with Counts and Length
  356.    wt: 3:   11 Another Single Digit Divisor Example
  357.    wt: 3:   10 Division by Five Long and Short Ways
  358.    wt: 3:   9 Why Long Division Works Take II
  359.    wt: 3:   8 Correcting the Mistake
  360.    wt: 3:   7 Long Divison Mistake Catching
  361.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  362.    wt: 3:   5 Long Division Include Zeroes or not
  363.    wt: 3:   3 Division Single Digit Divisor Example
  364.    wt: 3:   1 Divsion Physical Examples
  365.    wt: 3:   D Decimal Multiplication Methods Derived
  366.    wt: 3:   C Counting Areas with Powers of Ten
  367.    wt: 3:   B Powers of Ten
  368.    wt: 3:   6 Multiplication Commutes Order Not Important
  369.    wt: 3:   5 Decimal Fraction Multiplication
  370.    wt: 3:   3 More One Digit Multipliers
  371.    wt: 3:   1 Why 3 times 5 gives 15
  372.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  373.    wt: 3:   7 Adding decimal fractions using decimal point
  374.    wt: 3:   6. Counting and adding units and mixed units
  375.    wt: 3:   5. How to add decimals C. Examples
  376.    wt: 3:   4. How to add with decimals B with conversions
  377.    wt: 3:   3. How to add with decimals A sans conversions
  378.    wt: 3:   1. Explaining Addition Table
  379.    wt: 3:   The 20 Times Table
  380.    wt: 3:   38 Formulas and derivatives for powers and roots
  381.    wt: 3:   28 Chain Rule Preparation for a Proof
  382.    wt: 3:   20 Chain Rule for Pulley Systems
  383.    wt: 3:   10 Power rule for negative integers
  384.    wt: 3:   4 Sum Rule
  385.    wt: 3:   3 Motivation for Limit Definition Take 2
  386.    wt: 3:   2 Motivation for Limit Definition Take 1
  387.    wt: 3:   2 Algebraic codification
  388.    wt: 3:   Chapter 12 Four Phases
  389.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  390.    wt: 3:   Postscript A Story Telling
  391.    wt: 3:   Chapter 7 Longer Chains of Reason
  392.    wt: 3:   Chapter 6 Chains of Reason
  393.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  394.    wt: 3:   Foreword
  395.    wt: 3:   L Skills with take home value
  396.    wt: 3:   G. Written work formats for developing and showing skill
  397.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  398.    wt: 2:   Skills Chapter 3 Algebra
  399.    wt: 2:   4 algebra
  400.    wt: 2:   three goals to set for students
  401.    wt: 2:   Applied Maths Program14092009 POMME variant
  402.    wt: 2:   Maps Plans Drawings
  403.    wt: 2:   Secondary Three Mathematics
  404.    wt: 2:   talk the algebra talk
  405.    wt: 2:   three difficulties
  406.    wt: 2:   teaching tips
  407.    wt: 2:   04 29 New Mathematics Curriculum
  408.    wt: 2:   04 25 when to stop or suspend mathemat
  409.    wt: 2:   formal or informal peer review
  410.    wt: 2:   fairness and inductive principles for instruction
  411.    wt: 2:   2 Energy Power Heat07
  412.    wt: 2:   C Electromotive force conventional current02
  413.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  414.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  415.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  416.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  417.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  418.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  419.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  420.    wt: 2:   Ages 10 to 12 Geometry
  421.    wt: 2:   Ages 10 to 12 Arithmetic
  422.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  423.    wt: 2:   6 Set Existence Formation and Notation
  424.    wt: 2:   3 Formula or function graphing exercise
  425.    wt: 2:   8 quadratics backward use of various formulas
  426.    wt: 2:   7 quadratic formulla derivation
  427.    wt: 2:   2 quadratics graphing in general
  428.    wt: 2:   Quadratics in 10 steps
  429.    wt: 2:   8 Notes for instructors or tutors
  430.    wt: 2:   2 Column Multiplication Method
  431.    wt: 2:   Rewriting algebraic substitution as function substitutions
  432.    wt: 2:   16 cotangent function Definition Graph and Inverse
  433.    wt: 2:   15 cosecant function Definition Graph and Inverse
  434.    wt: 2:   14 secant function Definition Graph and Inverse
  435.    wt: 2:   13 cosecant function Definition Graph and Inverse
  436.    wt: 2:   11 arctan left inverse of tangent Graph
  437.    wt: 2:   10 arctan left inverse of tangent Definition
  438.    wt: 2:   9 motivation for name arcsin
  439.    wt: 2:   4 possible motivation for term arccos
  440.    wt: 2:   2 cosine function more properties
  441.    wt: 2:   9 Summary Degrees to Radians and back
  442.    wt: 2:   2 Radian Measure Numerical Value of one degree
  443.    wt: 2:   Parallel Lines and Interior Angles
  444.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  445.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  446.    wt: 2:   Straight Lines ASA Intersection Study More
  447.    wt: 2:   14 Straight Lines Equations General Case
  448.    wt: 2:   10 Straight Lines through Origin Equations More
  449.    wt: 2:   9 Straight Lines through Origin Equations
  450.    wt: 2:   1 Straight Lines Slope Concept
  451.    wt: 2:   17 tangent function angle sum formulas
  452.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  453.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  454.    wt: 2:   32 seven rows of pascals triangle
  455.    wt: 2:   30 unit circle calculation of six trigonometric functions
  456.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  457.    wt: 2:   17C sine and cosine double triple angle formulas
  458.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  459.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  460.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  461.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  462.    wt: 2:   2 Quadrant I reference Angles
  463.    wt: 2:   11 sine and cosine double triple angle formulas
  464.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  465.    wt: 2:   1 Angle Measurement with Degrees
  466.    wt: 2:   Why Trigonometry the whyslopes view
  467.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  468.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  469.    wt: 2:   4 Similarity Definition with Coordinate
  470.    wt: 2:   8 Mid Point Formula
  471.    wt: 2:   5 Algebraic View of Slopes
  472.    wt: 2:   3 Slope product for perpendicular lines
  473.    wt: 2:   13 Pythagorean spatial distance formulas
  474.    wt: 2:   10 Pythagorean plane distance formula
  475.    wt: 2:   A Measurement with Ruler Proper Use
  476.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  477.    wt: 2:   1 Length Measurement
  478.    wt: 2:   musings do not puiblish real numbers
  479.    wt: 2:   A Modular and Remainder Arithmetic
  480.    wt: 2:   A Signed Number Arithmetic Review
  481.    wt: 2:   9 Division with Digits after Decimal Point
  482.    wt: 2:   8 Division and Mulplication of Compound Fractions
  483.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  484.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  485.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  486.    wt: 2:   4 Location of Point in Decimal Addition
  487.    wt: 2:   3 Location of Point in Decimal Multiplication
  488.    wt: 2:   1 Fractions with Finite Decimal Expansions
  489.    wt: 2:   E Long Division Methods more
  490.    wt: 2:   D Long Division Methods
  491.    wt: 2:   B Decimal Comparison and Subtraction
  492.    wt: 2:   A Decimal Addition Columm Methods
  493.    wt: 2:   8 Column Multiplication Methods in General
  494.    wt: 2:   7 Decimals Multiplication Methods Examples
  495.    wt: 2:   1 The Counting Origins of Numbers
  496.    wt: 2:   6 Equations and Systems Equivalent or Implied
  497.    wt: 2:   4 Subtraction and Division Axioms
  498.    wt: 2:   1 Equivalent Computation Rules
  499.    wt: 2:   5 Greater More Less Than Signs in General
  500.    wt: 2:   4 Comparison of Negative Numbers
  501.    wt: 2:   3 More and Less Than with Unlike Signs
  502.    wt: 2:   1 Real Numbers Comparison
  503.    wt: 2:   7 Real Numbers as Line Cordinates
  504.    wt: 2:   6 Unsigned Real Numbers
  505.    wt: 2:   5 Rational Numbers More
  506.    wt: 2:   4 Rational Numbers
  507.    wt: 2:   3 Fractions
  508.    wt: 2:   1 Whole and Natural Numbers
  509.    wt: 2:   5 Independent versus Dependent Variables
  510.    wt: 2:   4 Changing Letters
  511.    wt: 2:   More Exercises
  512.    wt: 2:   Simple Exercises
  513.    wt: 2:   4 GE III Animated Examples
  514.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  515.    wt: 2:   3 GE III Equation Addition and Multiplication
  516.    wt: 2:   1 GE Substitution four examples
  517.    wt: 2:   Skill Development Notes
  518.    wt: 2:   10 One Example
  519.    wt: 2:   8 One Example
  520.    wt: 2:   7 Two Examples
  521.    wt: 2:   4 Two Examples
  522.    wt: 2:   3 Two Examples
  523.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  524.    wt: 2:   9 Sets in Probability and Statistics
  525.    wt: 2:   8 Sets of Numbers
  526.    wt: 2:   7 Cautious or Safe Set Construction
  527.    wt: 2:   6 Power Set Notation
  528.    wt: 2:   5 Product Builder Notation
  529.    wt: 2:   4 Subset Builder Notation
  530.    wt: 2:   3 Counting with Sets etc
  531.    wt: 2:   1 Finite Sets
  532.    wt: 2:   5 Talking about Numbers and Quantities
  533.    wt: 2:   3 Adding Words To Arithmetic
  534.    wt: 2:   About Folder Contents
  535.    wt: 2:   arithmetic videos Real Player Format
  536.    wt: 2:   2 Square Roots with Prime
  537.    wt: 2:   8 GCD from Euclidean Algorithm
  538.    wt: 2:   2 Least Common Multiple LCM intro via list method
  539.    wt: 2:   2 Counting with Tables and Trees I
  540.    wt: 2:   4 signed coordinates for regions in space
  541.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  542.    wt: 2:   2 Equality and Units
  543.    wt: 2:   D Three Term Ratios
  544.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  545.    wt: 2:   19 Dividing Fractions How TO
  546.    wt: 2:   13 Fraction Comparison Algebraic View
  547.    wt: 2:   12 Fraction Comparison
  548.    wt: 2:   11 Simplification an Algebraic View
  549.    wt: 2:   6 Multiplication Algebraically Take II
  550.    wt: 2:   13 Subtraction with Additive Inverse
  551.    wt: 2:   11 Adding Integers Formulas and Examples
  552.    wt: 2:   10 Integer Multiplication Formulas
  553.    wt: 2:   21 Remainder Arithmetic Modulo 3
  554.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  555.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  556.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  557.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  558.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  559.    wt: 2:   5 Remainder Arithmetic Modulo 5
  560.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  561.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  562.    wt: 2:   1 Remainder Arithmetic Modulo 10
  563.    wt: 2:   19 video Prime Factorization Unique
  564.    wt: 2:   18 video Count Factors given Prime Factorization
  565.    wt: 2:   17 Identify and Count Factors using Primes
  566.    wt: 2:   16 video Factors of 980 using prime
  567.    wt: 2:   11 Efficient Square Rule Use
  568.    wt: 2:   9 video Prime Factorization upto 19 squared
  569.    wt: 2:   8 video Prime Factorization upto 19
  570.    wt: 2:   7 Calculator Usage Notes and Cautions
  571.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  572.    wt: 2:   5 Prime Factorization and a Square Rule
  573.    wt: 2:   4 video Prime Factorization Introduction
  574.    wt: 2:   3 video Primes and Composites from 9 times table
  575.    wt: 2:   1 video how Products are bigger than factor
  576.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  577.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  578.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  579.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  580.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  581.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  582.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  583.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  584.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  585.    wt: 2:   Quick history of numbers and algebra
  586.    wt: 2:   Formula Evaluation how to show work
  587.    wt: 2:   The 12 Times Table Visually
  588.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  589.    wt: 2:   012 Division of Time Intervals by Time Intervals
  590.    wt: 2:   2 Time and Date Matters in School
  591.    wt: 2:   1 Intro of Kids To Time Date Skills
  592.    wt: 2:   Example 2 volume of a cone
  593.    wt: 2:   Example 1. Area Between x and x squared
  594.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  595.    wt: 2:   Example 3
  596.    wt: 2:   Example 2
  597.    wt: 2:   Area Between Curves Lesson Take 2
  598.    wt: 2:   A Chain Rule Real Player video examples
  599.    wt: 2:   30Chain Rule A Proof
  600.    wt: 2:   29 Chain Rule Optional Reading
  601.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  602.    wt: 2:   26 Chain Rule Recognising outer inner functions
  603.    wt: 2:   25 Chain Rule Animated Examples Continued
  604.    wt: 2:   24 Chain Rule Animated Examples
  605.    wt: 2:   23 Chain Rule in general
  606.    wt: 2:   19 Chain Rule for linear functions
  607.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  608.    wt: 2:   14 sine and cosine derivatives 2nd step
  609.    wt: 2:   12 Quotient rule examples
  610.    wt: 2:   11 Quotient rule
  611.    wt: 2:   9 Reciprocal rule
  612.    wt: 2:   8 Differentiation of polynomials
  613.    wt: 2:   7 Animated Differentiation Examples
  614.    wt: 2:   6 Power rule from product rule
  615.    wt: 2:   5 Product Rule
  616.    wt: 2:   11 Limits at infinity Three Examples
  617.    wt: 2:   3 Decimal insights for limits continuity convergence
  618.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  619.    wt: 2:   E2 Algebraic Properties of Limits
  620.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  621.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  622.    wt: 2:   Chapter 23 Links To Trigonometry
  623.    wt: 2:   Chapter 21 Arrow Addition
  624.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  625.    wt: 2:   Chapter 12. Units and Slopes
  626.    wt: 2:   Chapter 2. Slopes and Ski Trails
  627.    wt: 2:   Postscript A Three Remarks
  628.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  629.    wt: 2:   Chapter 3 Algebra Difficulties
  630.    wt: 2:   Foreword
  631.    wt: 2:   Chapter 18 Sense and Knowledge
  632.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  633.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  634.    wt: 2:   Chapter 15 Objective Processes
  635.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  636.    wt: 2:   Chapter 11 Accidental Patterns
  637.    wt: 2:   Chapter 10 Responsibility
  638.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  639.    wt: 2:   Chapter 8 Change of Language
  640.    wt: 2:   Chapter 5 Deception
  641.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  642.    wt: 2:   Chapter 1 Introduction
  643.    wt: 2:   S Adding words to algebra
  644.    wt: 2:   R Why Learn Mathematics Skills
  645.    wt: 2:   N Mathematics Prepare for College Studies
  646.    wt: 2:   I. Logic and language skills
  647.    wt: 2:   B. Domino effect of errors
  648.    wt: 2:   How to Build Skills and Confidence
  649.    wt: 2:   Chapter 2 Why Sets
  650.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  651.    wt: 2:   7 Games and Activities for Instruction
  652.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  653.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  654.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  655.    wt: 1:   Appendix 2 primary school Arithmetic 01
  656.    wt: 1:   G LAMP Introduction Problem Solving Skills
  657.    wt: 1:   Skills Chapter 5 Calculus
  658.    wt: 1:   Skills Chapter 4 Logic
  659.    wt: 1:   Ramblings Introduction Algebra Essay
  660.    wt: 1:   Skills Chapter 1 Arithmetic
  661.    wt: 1:   Skills Chapter 0 Introduction
  662.    wt: 1:   11 pure mathematics
  663.    wt: 1:   10 statistics
  664.    wt: 1:   9 combinatorics probability sets
  665.    wt: 1:   8 analytic geometry etc
  666.    wt: 1:   7 logic review and decimals an odd combination
  667.    wt: 1:   6 polynomials etc
  668.    wt: 1:   5 logarithms and exponentials etc
  669.    wt: 1:   3 Euclidean Geometry Leanly
  670.    wt: 1:   1 arithmetic with unsigned numbers
  671.    wt: 1:   What is POMME
  672.    wt: 1:   why bother
  673.    wt: 1:   permissions for teachers
  674.    wt: 1:   activities for students
  675.    wt: 1:   About site lesson plans
  676.    wt: 1:   learning takes time
  677.    wt: 1:   Postscript 2007 01 10
  678.    wt: 1:   Education Reform Inconsistencies
  679.    wt: 1:   how letters appear
  680.    wt: 1:   Secondary Two Mathematics
  681.    wt: 1:   Secondary One Mathematics
  682.    wt: 1:   What to Tell Students
  683.    wt: 1:   mathematics curriculum shifts
  684.    wt: 1:   05 13 OldSiteEntrancePage
  685.    wt: 1:   standards for course material
  686.    wt: 1:   Different Kinds of Reasoning in maths
  687.    wt: 1:   Four ways to improve education reform
  688.    wt: 1:   need for a mixed mathematics curriculum
  689.    wt: 1:   education an empirical art
  690.    wt: 1:   words for mathematics instructor
  691.    wt: 1:   chapitre 12 00 les iles et division
  692.    wt: 1:   chapitre 04 02 Deuxieme enigme
  693.    wt: 1:   chapitre 02 00 La Communication des idees
  694.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  695.    wt: 1:   4 Energy Power Heat09
  696.    wt: 1:   3 Energy Power Heat08
  697.    wt: 1:   1 Energy Power Heat06
  698.    wt: 1:   E Energy Power05
  699.    wt: 1:   D Energy Power04
  700.    wt: 1:   C Energy Power03
  701.    wt: 1:   A Energy Power01
  702.    wt: 1:   D Wire Resistance Calculation02
  703.    wt: 1:   B Wire Resistance Qualitative02
  704.    wt: 1:   3 Like resistors in parallel
  705.    wt: 1:   2 Unlike resistors in parallel01
  706.    wt: 1:   H Series Circuit02
  707.    wt: 1:   B Electromotive force conventional current01
  708.    wt: 1:   17 Math Booklets for children and young teenagers
  709.    wt: 1:   16 Secondary Mathematics Tips
  710.    wt: 1:   15 Counting For Parents
  711.    wt: 1:   10 Ends values for work study instruction
  712.    wt: 1:   5 Patience Please for Yourself and Your Charges
  713.    wt: 1:   4 Learning Takes Time and Effort
  714.    wt: 1:   3 Preparing for Science Studies
  715.    wt: 1:   1 Speaking Skills
  716.    wt: 1:   Ages 9 to 10
  717.    wt: 1:   Ages 8 to 9
  718.    wt: 1:   Ages 7 to 8
  719.    wt: 1:   Ages 6 to 7
  720.    wt: 1:   Ages 4 plus to 5 plus
  721.    wt: 1:   Ages 3 plus to 4 plus
  722.    wt: 1:   sign monoticity analysis example 4
  723.    wt: 1:   sign monoticity analysis example 3
  724.    wt: 1:   sign monoticity analysis example 1
  725.    wt: 1:   19 Horizontal line rule and method
  726.    wt: 1:   18 Vertical Line Rule and Method
  727.    wt: 1:   17 Function maxima minima and their location
  728.    wt: 1:   16 Increasing or decreasing on intervals
  729.    wt: 1:   15 Sign analysis of functions
  730.    wt: 1:   14 Surjections Injections Bijections
  731.    wt: 1:   13 From one to one to many to one
  732.    wt: 1:   11 Function Domain Range Source and Targets
  733.    wt: 1:   10 Interval Notation
  734.    wt: 1:   9 Set theory term relation possible origins
  735.    wt: 1:   8 Set view of relations and functions
  736.    wt: 1:   7 Functions with finite domains
  737.    wt: 1:   4 Function notation in and beyond mathematics
  738.    wt: 1:   1 Geometric Introduction of Function Notation
  739.    wt: 1:   Introduction Reading Guide
  740.    wt: 1:   A Quadratics Summary
  741.    wt: 1:   10 quadratic exercises
  742.    wt: 1:   9 quadratics physical and further context
  743.    wt: 1:   6 quadratics numerical approach
  744.    wt: 1:   5 quadratics completing the square
  745.    wt: 1:   4 quadratics difference of two squares
  746.    wt: 1:   3 quadratics factoring by inspection
  747.    wt: 1:   1 quadratics graphing exercises
  748.    wt: 1:   7 Links Lessons Elsewhere
  749.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  750.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  751.    wt: 1:   4 Polynomials Long division linear divisor
  752.    wt: 1:   3 Polynomials Multiplication Addition
  753.    wt: 1:   1 Polynomials Distributive Law
  754.    wt: 1:   8 arcsin left inverse of sine Graph
  755.    wt: 1:   7 arcsin left inverse of sine Definition
  756.    wt: 1:   6 Graph of arccos function
  757.    wt: 1:   5 Swapping Coordinates is a reflection
  758.    wt: 1:   3 Left Inverse of cosine arccos definition
  759.    wt: 1:   1 cosine function properties
  760.    wt: 1:   8 Radian Measures of Common Angles
  761.    wt: 1:   7 Radian Measures in special Triangles
  762.    wt: 1:   6 Radian Measure to Degrees
  763.    wt: 1:   5 Degrees to Radian Measure
  764.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  765.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  766.    wt: 1:   1 Degrees and Radians Introduction
  767.    wt: 1:   A Global Time and Navigation
  768.    wt: 1:   15 Dot and Cross Product
  769.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  770.    wt: 1:   13 Velocity Vectors in Physics
  771.    wt: 1:   11 Component Method
  772.    wt: 1:   10 Parallelogram Addition Method
  773.    wt: 1:   9 Head to Tail Coordinate View
  774.    wt: 1:   8 Parallel Vectors
  775.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  776.    wt: 1:   6 Vectors with Coordinates
  777.    wt: 1:   5 Head To Tail Arrow Addition
  778.    wt: 1:   4 Resultant of a Sum of Movements
  779.    wt: 1:   3 Navigation with Arrows or Vectors
  780.    wt: 1:   1 Unsigned Coordinates
  781.    wt: 1:   Vector and Complex Number Applet
  782.    wt: 1:   Parallel Lines and Parallel Transversals
  783.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  784.    wt: 1:   Triangle Angles Sum To 180 Degrees
  785.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  786.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  787.    wt: 1:   Straight Lines ASA Intersection Study
  788.    wt: 1:   Straight Lines Instersection Solving Equations
  789.    wt: 1:   Straight Lines Intersection of
  790.    wt: 1:   31 basic secant cosecant cotangent trig identities
  791.    wt: 1:   18 sum of sinusoidal waves as a single wave
  792.    wt: 1:   17G Pythagorean Theorem Converse
  793.    wt: 1:   17F Law of cosines
  794.    wt: 1:   17A The complex number valued trig function cis
  795.    wt: 1:   16 Right Triangle Complementary Angle Relations
  796.    wt: 1:   15 sine cosine Complementary Angle Relations
  797.    wt: 1:   14 cosine even and sine and tangent are odd
  798.    wt: 1:   13 Graph of tangent function many periods
  799.    wt: 1:   11 tangent function undefined when terminal side vertical
  800.    wt: 1:   10 Graphs of sines and cosines many periods
  801.    wt: 1:   9 Graphs of sine and cosine over one period
  802.    wt: 1:   8 period of tangent function
  803.    wt: 1:   7 period of sine and cosine
  804.    wt: 1:   1 Unit Points Reflections Rotations
  805.    wt: 1:   Unit Circle Development of Trigonometry
  806.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  807.    wt: 1:   19 N th Roots of Unity
  808.    wt: 1:   18 Sixth Roots of Unity
  809.    wt: 1:   17 Cube Roots of unity
  810.    wt: 1:   16 References and Originality Question
  811.    wt: 1:   15 Pythagorean Theorem Converse
  812.    wt: 1:   14 Law of cosines
  813.    wt: 1:   9 The complex number valued trig function cis
  814.    wt: 1:   8 Unit Circle Development of Trigonometry
  815.    wt: 1:   7 Second Way to Calculate Products
  816.    wt: 1:   6 Field Properties of Complex Number
  817.    wt: 1:   5 An Easy Proof of the Distributive Law
  818.    wt: 1:   4 Multiplication Properties
  819.    wt: 1:   3 Addition Properties
  820.    wt: 1:   1 Rectangular Polar Coordinates Review
  821.    wt: 1:   Appetizer A Complex Number Applet
  822.    wt: 1:   11 Triangle Similarity Missing Side Problem
  823.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  824.    wt: 1:   9 Similarity of Triangles Usual Criteria
  825.    wt: 1:   8 Similarity of Triangles and Polygons
  826.    wt: 1:   7 Translations Rotations Reflections Dilatations
  827.    wt: 1:   6 Geometric Diagrams in Class
  828.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  829.    wt: 1:   3 Similarity by Design with coordinates
  830.    wt: 1:   1 Early Concept of Like or Similar Shapes
  831.    wt: 1:   Four Simple Exercises
  832.    wt: 1:   11 A Partial Summary
  833.    wt: 1:   10 Midpoint of [a b] and [b a]
  834.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  835.    wt: 1:   7 Exercises to test skill and concept mastery
  836.    wt: 1:   6 Intersection of lines by solving linear systems
  837.    wt: 1:   1 Numerical view of lines and their equations
  838.    wt: 1:   What is and is not here
  839.    wt: 1:   11 Triangle Inequality
  840.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  841.    wt: 1:   8 Distance Between Points on a Line
  842.    wt: 1:   7 Complex Numbers Appetizer
  843.    wt: 1:   6 Polar Multiplication and Rotation
  844.    wt: 1:   5 Cartesian Addition and Translation
  845.    wt: 1:   4 Polar Coordinates to and from
  846.    wt: 1:   3 Rectangular Coordinates Review
  847.    wt: 1:   1 Cartesian Coordinates sans signs
  848.    wt: 1:   About Folder Contents
  849.    wt: 1:   5 Square Roots with primes more still
  850.    wt: 1:   4 Square Roots with primes more
  851.    wt: 1:   3 Properties of Square Roots with example
  852.    wt: 1:   1 Squares and Square Roots Introduction
  853.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  854.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  855.    wt: 1:   13 GCD from given Prime Factorization
  856.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  857.    wt: 1:   7 GCD and LCM from prime factorization
  858.    wt: 1:   6 GCD from Prime
  859.    wt: 1:   5 Common Divisors 60 45 via Prime
  860.    wt: 1:   4 LCM of 8 and 10 via Prime
  861.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  862.    wt: 1:   1 Least Common Multiples LCM Introduction
  863.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  864.    wt: 1:   4 Counting with Trees Product Rule Take I
  865.    wt: 1:   3 Counting with Tables and Trees II
  866.    wt: 1:   1 Counting and Counting Methods I
  867.    wt: 1:   11 What are real lengths and numbers
  868.    wt: 1:   10 dividing signed numbers
  869.    wt: 1:   9 subtracting signed numbers
  870.    wt: 1:   8 multiplying signed numbers
  871.    wt: 1:   7 negative and additive inverse
  872.    wt: 1:   6 adding signed numbers
  873.    wt: 1:   5 lengths and signs of numbers
  874.    wt: 1:   7 Converting or Changing Units
  875.    wt: 1:   6 Simplification of Fractions with Units
  876.    wt: 1:   4 Fractions with Units
  877.    wt: 1:   3 Multiplying Units and Numbers
  878.    wt: 1:   1 Addition and Subtraction with Units
  879.    wt: 1:   B Fractions and Two Term Ratios
  880.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  881.    wt: 1:   18 Efficient Ways to Multiply
  882.    wt: 1:   17 Efficient Ways to Add and Subtract
  883.    wt: 1:   16 Addition Subtraction Comparision Compared
  884.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  885.    wt: 1:   14 Adding and Subtracting with Like Denominators
  886.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  887.    wt: 1:   9 Improper Fractions and Mixed Numbers
  888.    wt: 1:   8 Numerals Fractionals Quantals Take II
  889.    wt: 1:   7 Numerals Fractionals Quantals
  890.    wt: 1:   6 Multiplication of Mixed Numbers
  891.    wt: 1:   5 Equivalent Fractions
  892.    wt: 1:   4 Fraction Multiplication
  893.    wt: 1:   3 Unit fraction of a fraction
  894.    wt: 1:   1 What is a fraction Take II
  895.    wt: 1:   1 What is a fraction
  896.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  897.    wt: 1:   D Remainders Modulo 11 Pair Rule
  898.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  899.    wt: 1:   B Integer Long Division Multiple Choices
  900.    wt: 1:   A Associative Law Theorectical Note
  901.    wt: 1:   9 Multiplying Integers
  902.    wt: 1:   8 Multiplication by Signed Numbers Integers
  903.    wt: 1:   7 Multiplication by Signs
  904.    wt: 1:   6 Multiplication by Natural Numbers
  905.    wt: 1:   5 Zero Movement and Additive Inverses
  906.    wt: 1:   4 Adding Movements wiht opposite directions
  907.    wt: 1:   3 Adding Movements with same direction
  908.    wt: 1:   1 Integers as Coordinates
  909.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  910.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  911.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  912.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  913.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  914.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  915.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  916.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  917.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  918.    wt: 1:   11 Place Value SI Standard International way
  919.    wt: 1:   Exact Arithmetic Wholes and Fractions
  920.    wt: 1:   Expression Evaluation how to show work
  921.    wt: 1:   About folder contents
  922.    wt: 1:   016 Numbering Occidental Calendar Days
  923.    wt: 1:   015 School and work day counting tables
  924.    wt: 1:   014 Counting Days with Calendars
  925.    wt: 1:   013 Travel Time Tables
  926.    wt: 1:   011 Division of Time Intervals By Numbers
  927.    wt: 1:   010 Repeated Addition of Time Intervals
  928.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  929.    wt: 1:   8 Addition of Time Intervals via subtotaling
  930.    wt: 1:   7 Addition of Time Intervals
  931.    wt: 1:   6 How long is a million seconds
  932.    wt: 1:   5 Conversion Arithmetic
  933.    wt: 1:   4 Mixing and Changing Units of Time
  934.    wt: 1:   3 Units and Lengths of Time
  935.    wt: 1:   Example 1 volume of a pyramid
  936.    wt: 1:   Volume of Solid by Cross Sections Lesson
  937.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  938.    wt: 1:   Example 4 with x function of y
  939.    wt: 1:   Example 1
  940.    wt: 1:   Area Between Curves Lesson Take 1
  941.    wt: 1:   Summary
  942.    wt: 1:   2 Indefinite Integrals Exercises
  943.    wt: 1:   1 Chain Rule in Reverse Integration Method
  944.    wt: 1:   2 Second derivative test prequel
  945.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  946.    wt: 1:   36 Cube root derivative animated
  947.    wt: 1:   34 Derivative of exponential function
  948.    wt: 1:   33 Chain Rule Real Player video examples
  949.    wt: 1:   31 Derivatives of inverse functions
  950.    wt: 1:   18 Chain Rule Introduction
  951.    wt: 1:   17 Derivatives of quotients of sine and cosine
  952.    wt: 1:   15 sine and cosine derivatives 3rd step
  953.    wt: 1:   13 sine and cosine derivatives 1st step
  954.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  955.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  956.    wt: 1:   10 Three one sided limits with infinite values
  957.    wt: 1:   5 Jumps and absence of unlimited error control
  958.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  959.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  960.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  961.    wt: 1:   F.4 Finite Covering Theorem
  962.    wt: 1:   F.2 Closed Range Theorem
  963.    wt: 1:   D2 Limits of Monotone Sequences
  964.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  965.    wt: 1:   PostScript For and Against Decimal Perspectives
  966.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  967.    wt: 1:   Fall 1983 Calculus Appetizer
  968.    wt: 1:   Foreword
  969.    wt: 1:   Annotated Links to Material Elsehwere
  970.    wt: 1:   Postscript B Mathematics Education References
  971.    wt: 1:   Chapter 11 Elementary Instruction
  972.    wt: 1:   Chapter 10 Transition
  973.    wt: 1:   Chapter 9 The Two Ends
  974.    wt: 1:   Chapter 8 Modern Instruction
  975.    wt: 1:   Chapter 7 Two Treatments of Geometry
  976.    wt: 1:   Chapter 5 Four References
  977.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  978.    wt: 1:   Chapter 1 Introduction
  979.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  980.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  981.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  982.    wt: 1:   O On Learning Mathematics and Science
  983.    wt: 1:   M Words to extend arithmetic
  984.    wt: 1:   N Improving Marks on Tests and Finals
  985.    wt: 1:   J. More on written work and showing skill
  986.    wt: 1:   H more Routine to non routine problem solving
  987.    wt: 1:   H Jigsaw puzzles and problem solving
  988.    wt: 1:   F. The student teacher tutor feedback loop
  989.    wt: 1:   E. When and how to correct errors
  990.    wt: 1:   D. Check work a must with a caution
  991.    wt: 1:   C. Domino effect of being careful
  992.    wt: 1:   A. Skill has to be seen to believed
  993.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  994.    wt: 1:   Chapter 6 More Algebra and Geometry
  995.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  996.    wt: 1:   Chapter 3 Algebra Starter Lessons
  997.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  998.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  999.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  1000.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  1001.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  1002.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1003.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1004.    wt: 1:   More Algebra and Slope based Calculus Preview
  1005.    wt: 1:   Systematic Algebra Skill Development Missing Links
  1006.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1007.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1008.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1009.    wt: 1:   The Math Forum and Site Content
  1010.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  1011.    wt: 10:   Chapter 8 Three Skills For Algebra

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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