Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

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

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

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

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

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

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54 matches:

  1.    wt: 8:   13 Vectors/
  2.    wt: 8:   12 Function Translating and Rescaling/
  3.    wt: 7:   15 Arc or Inverse Trigonometric Function/
  4.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  5.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  6.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  7.    wt: 7:   1 Maps Plans Measurement/
  8.    wt: 6:   11 Parallel Straight Lines and Transversals/
  9.    wt: 6:   8 Unit Circle Trigonometry/
  10.    wt: 6:   6 Trigonometry first steps/
  11.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 5:   A Origins of Counting and Figuring Methods/
  18.    wt: 3:   10 Examples of Algebraic Reasoning/
  19.    wt: 3:   8 Unifying Theme For Algebra/
  20.    wt: 3:   Step 4 Gaussian Elimination/
  21.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 3:   Step 1 Stick diagram and fractions/
  23.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  25.    wt: 2:   4 Functions/
  26.    wt: 2:   3 Quadratics Geometrically/
  27.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  28.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 2:   4 Computation Rules and Function Notation/
  31.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  32.    wt: 2:   3 Solving Linear Equations/
  33.    wt: 2:   1 Working With Sets/
  34.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  35.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  36.    wt: 2:   A Decimal Counting and Adding Methods/
  37.    wt: 1:   LAMP Lean Applied Mathematics Program/
  38.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  39.    wt: 1:   Volume 1A Regles et modeles/
  40.    wt: 1:   1 Five Polynomial Operations/
  41.    wt: 1:   More Algebra/
  42.    wt: 1:   B Real Numbers Extrinsic Development/
  43.    wt: 1:   9 Proportionality Backwards and Forwards/
  44.    wt: 1:   5 Real Numbers/
  45.    wt: 1:   2 Formula Forward Use Evaluation/
  46.    wt: 1:   Algebra Starter Lessons/
  47.    wt: 1:   8 Arithmetic with Signed Numbers/
  48.    wt: 1:   5 Integers/
  49.    wt: 1:   D Decimal Long Division Methods/
  50.    wt: 1:   5 Lessons on Integration/
  51.    wt: 1:   4 Lessons on Using Derivatives/
  52.    wt: 1:   38 Lessons on Calculating Derivatives/
  53.    wt: 1:   13 Lessons on Limits and Continuity/
  54.    wt: 1:   Volume 2 Three Skills For Algebra/

Web Page Search

620 matches:

  1.    wt: 5:   4 Money Matters Saving Earning Buying Selling and Budgets
  2.    wt: 4:   13 Graph of tangent function many periods
  3.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  4.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  5.    wt: 3:   grouping students according to ability
  6.    wt: 3:   Maps Plans Drawings
  7.    wt: 3:   teaching tutoring algebraic reason
  8.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  10.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  11.    wt: 3:   12 Function Domain Recognition Exercises
  12.    wt: 3:   11 Function Domain Range Source and Targets
  13.    wt: 3:   3 Formula or function graphing exercise
  14.    wt: 3:   2 quadratics graphing in general
  15.    wt: 3:   1 quadratics graphing exercises
  16.    wt: 3:   Rewriting algebraic substitution as function substitutions
  17.    wt: 3:   16 cotangent function Definition Graph and Inverse
  18.    wt: 3:   13 cosecant function Definition Graph and Inverse
  19.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  20.    wt: 3:   Triangle Angles Sum To 180 Degrees
  21.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  22.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  23.    wt: 3:   12 Straight Lines Graphing mx plus b
  24.    wt: 3:   11 Straight Lines Graphing y=mx
  25.    wt: 3:   10 Straight Lines through Origin Equations More
  26.    wt: 3:   9 Straight Lines through Origin Equations
  27.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  28.    wt: 3:   5 Tangent Function Graph
  29.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  30.    wt: 3:   17 tangent function angle sum formulas
  31.    wt: 3:   16 Right Triangle Complementary Angle Relations
  32.    wt: 3:   12 Graph of tangent function for one period
  33.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  34.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  35.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  36.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  37.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  38.    wt: 3:   13 Angle Side Angle Failure
  39.    wt: 3:   6 Figuring with Maps Not to Scale
  40.    wt: 3:   4 Angles on Maps Plans drawn to scale
  41.    wt: 3:   3 Lengths and Areas on Maps and Plans
  42.    wt: 3:   5 Greater More Less Than Signs in General
  43.    wt: 3:   13 Naming Identifying Formulas with Words
  44.    wt: 3:   4 Greater More Less Than Signs in General
  45.    wt: 3:   13 GCD from given Prime Factorization
  46.    wt: 3:   7 Converting or Changing Units
  47.    wt: 3:   4 Mixing and Changing Units of Time
  48.    wt: 3:   26 Chain Rule Recognising outer inner functions
  49.    wt: 3:   Chapter 13. Second Reading Guide
  50.    wt: 3:   Chapter 10 Describing and Changing Calculations
  51.    wt: 3:   Chapter 6 Change of Language
  52.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  53.    wt: 3:   Chapter 8 Change of Language
  54.    wt: 3:   I. Logic and language skills
  55.    wt: 3:   G. Written work formats for developing and showing skill
  56.    wt: 2:   G LAMP Introduction Problem Solving Skills
  57.    wt: 2:   Ramblings Introduction Algebra Essay
  58.    wt: 2:   geometric implications for algebra
  59.    wt: 2:   Lessening Algebra Difficulties
  60.    wt: 2:   05 13 OldSiteEntrancePage
  61.    wt: 2:   cultivating intelligence
  62.    wt: 2:   chapitre 04 06 engagements
  63.    wt: 2:   chapitre 04 05 Implication versus suggestion
  64.    wt: 2:   logique deux enigme
  65.    wt: 2:   Home Tutoring and Home Schooling
  66.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  67.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  68.    wt: 2:   17 Math Booklets for children and young teenagers
  69.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  70.    wt: 2:   2 Reading and Writing Skills
  71.    wt: 2:   Ages 12 to 14 Geometry
  72.    wt: 2:   Ages 10 to 12 Geometry
  73.    wt: 2:   26 Function definitions done and coming
  74.    wt: 2:   22 Square Root function graphically
  75.    wt: 2:   20 Interchanging coordinates a reflection
  76.    wt: 2:   16 Increasing or decreasing on intervals
  77.    wt: 2:   15 Sign analysis of functions
  78.    wt: 2:   5 Function notation for geometric transformations
  79.    wt: 2:   2 Algebraic use of function notation
  80.    wt: 2:   1 Geometric Introduction of Function Notation
  81.    wt: 2:   Introduction Reading Guide
  82.    wt: 2:   11 Growth and Decay in Biology
  83.    wt: 2:   5 Natural Logarithm Calculator Exercises
  84.    wt: 2:   15 cosecant function Definition Graph and Inverse
  85.    wt: 2:   14 secant function Definition Graph and Inverse
  86.    wt: 2:   11 arctan left inverse of tangent Graph
  87.    wt: 2:   6 Graph of arccos function
  88.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  89.    wt: 2:   2 Radian Measure Numerical Value of one degree
  90.    wt: 2:   A Global Time and Navigation
  91.    wt: 2:   13 Velocity Vectors in Physics
  92.    wt: 2:   3 Navigation with Arrows or Vectors
  93.    wt: 2:   4 graphing y=Asin(x c)
  94.    wt: 2:   3 graphing y=f(x c) plus K
  95.    wt: 2:   1 graphing y=f(x a)
  96.    wt: 2:   Straight Lines Instersection Solving Equations
  97.    wt: 2:   B Straight Line Slope Scaling Properties More
  98.    wt: 2:   A Straight Line Slope Scaling Properties
  99.    wt: 2:   14 Straight Lines Equations General Case
  100.    wt: 2:   7 Tangent Function is odd on this domain
  101.    wt: 2:   4 Tangent Function Properties
  102.    wt: 2:   31 basic secant cosecant cotangent trig identities
  103.    wt: 2:   30 unit circle calculation of six trigonometric functions
  104.    wt: 2:   29 secant cosecant and cotangent for acute angles
  105.    wt: 2:   25 tangent double angle formula Slope connection
  106.    wt: 2:   24 tangent Angle Difference Formula
  107.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  108.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  109.    wt: 2:   17G Pythagorean Theorem Converse
  110.    wt: 2:   17A The complex number valued trig function cis
  111.    wt: 2:   11 tangent function undefined when terminal side vertical
  112.    wt: 2:   8 period of tangent function
  113.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  114.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  115.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  116.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  117.    wt: 2:   13 Trig Formulas for dot and cross Products
  118.    wt: 2:   9 The complex number valued trig function cis
  119.    wt: 2:   8 Triangles Cascade Problem Solving
  120.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  121.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  122.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  123.    wt: 2:   1 Angle Measurement with Degrees
  124.    wt: 2:   11 Triangle Similarity Missing Side Problem
  125.    wt: 2:   8 Similarity of Triangles and Polygons
  126.    wt: 2:   6 Geometric Diagrams in Class
  127.    wt: 2:   13 Pythagorean spatial distance formulas
  128.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  129.    wt: 2:   19 Right Triangle Similarity
  130.    wt: 2:   17 Right Bisectors of Triangle Sides
  131.    wt: 2:   7 Angle Side Angle
  132.    wt: 2:   3 Isometry of Triangles Congruence
  133.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  134.    wt: 2:   19 Signed Multiples of Vectors
  135.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  136.    wt: 2:   13 Arrows and Vectors in a Plane
  137.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  138.    wt: 2:   2 Counting Digits in Decimal Multiplication
  139.    wt: 2:   4 Commutative Law Groups Counting Form
  140.    wt: 2:   1 The Counting Origins of Numbers
  141.    wt: 2:   1 Changing Calculations
  142.    wt: 2:   10 Real Number Lengths and Signs
  143.    wt: 2:   4 Changing Letters
  144.    wt: 2:   3 Geometric Formulas and Function Notation
  145.    wt: 2:   4 Solving a triangular system exercise
  146.    wt: 2:   3 Solving triangular system example
  147.    wt: 2:   1 Proper Equal Sign Usage
  148.    wt: 2:   1 Written work formats for developing and showing skill
  149.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  150.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  151.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  152.    wt: 2:   8 GCD from Euclidean Algorithm
  153.    wt: 2:   1 Counting and Counting Methods I
  154.    wt: 2:   10 dividing signed numbers
  155.    wt: 2:   9 subtracting signed numbers
  156.    wt: 2:   8 multiplying signed numbers
  157.    wt: 2:   6 adding signed numbers
  158.    wt: 2:   5 lengths and signs of numbers
  159.    wt: 2:   4 signed coordinates for regions in space
  160.    wt: 2:   3 signed coordinates for maps and planes
  161.    wt: 2:   2 signed and unsigned numbers as coordinates
  162.    wt: 2:   21 Working With Signs
  163.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  164.    wt: 2:   14 Adding and Subtracting with Like Denominators
  165.    wt: 2:   13 Fraction Comparison Algebraic View
  166.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  167.    wt: 2:   B Integer Long Division Multiple Choices
  168.    wt: 2:   12 Adding Integers More Examples
  169.    wt: 2:   11 Adding Integers Formulas and Examples
  170.    wt: 2:   9 Multiplying Integers
  171.    wt: 2:   8 Multiplication by Signed Numbers Integers
  172.    wt: 2:   13 video Factors of 24 using prime
  173.    wt: 2:   12 LCD GCD and LCM using Primes
  174.    wt: 2:   1 video how Products are bigger than factor
  175.    wt: 2:   11 Another Single Digit Divisor Example
  176.    wt: 2:   7 Long Divison Mistake Catching
  177.    wt: 2:   3 Division Single Digit Divisor Example
  178.    wt: 2:   2 Division with Single Digit Divisors
  179.    wt: 2:   7 Adding decimal fractions using decimal point
  180.    wt: 2:   6. Counting and adding units and mixed units
  181.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  182.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  183.    wt: 2:   4 Definite Integrals Evaluation Exercises
  184.    wt: 2:   2 Indefinite Integrals Exercises
  185.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  186.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  187.    wt: 2:   10 Power rule for negative integers
  188.    wt: 2:   3 Decimal insights for limits continuity convergence
  189.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  190.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  191.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  192.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  193.    wt: 2:   Chapter 11. Graphing Slope versus Position
  194.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  195.    wt: 2:   Chapter 21. Third Reading Guide
  196.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  197.    wt: 2:   Chapter 12. Shorthand Usage Guide
  198.    wt: 2:   S Adding words to algebra
  199.    wt: 2:   H Jigsaw puzzles and problem solving
  200.    wt: 2:   Chapter 6 More Algebra and Geometry
  201.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  202.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  203.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  204.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  205.    wt: 2:   Helping the Blind in Logic and Mathematics
  206.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  207.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  208.    wt: 2:   Systematic Algebra Skill Development Missing Links
  209.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  210.    wt: 1:   K LAMP Musings Science Education
  211.    wt: 1:   J LAMP Introduction Extrinsic Origins
  212.    wt: 1:   Skills Chapter 4 Logic
  213.    wt: 1:   Ramblings Extrinsic numbers theory
  214.    wt: 1:   Skills Chapter 3 Algebra
  215.    wt: 1:   Skills Chapter 2 Geometry
  216.    wt: 1:   8 analytic geometry etc
  217.    wt: 1:   7 logic review and decimals an odd combination
  218.    wt: 1:   5 logarithms and exponentials etc
  219.    wt: 1:   4 algebra
  220.    wt: 1:   3 Euclidean Geometry Leanly
  221.    wt: 1:   2 arithmetic with signed numbers
  222.    wt: 1:   1 arithmetic with unsigned numbers
  223.    wt: 1:   which way to go
  224.    wt: 1:   three goals to set for students
  225.    wt: 1:   Teach the teachers plus goals
  226.    wt: 1:   Applied Maths Program14092009 POMME variant
  227.    wt: 1:   site origins
  228.    wt: 1:   About site lesson plans
  229.    wt: 1:   learning takes time
  230.    wt: 1:   talk the algebra talk
  231.    wt: 1:   teaching tips
  232.    wt: 1:   the trouble with algebra
  233.    wt: 1:   three goals for Mathematics Education
  234.    wt: 1:   Theory of Knowledge
  235.    wt: 1:   mathematics instruction in general
  236.    wt: 1:   Education in mathematics science and technology
  237.    wt: 1:   Different Kinds of Reasoning in maths
  238.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  239.    wt: 1:   chapitre 04 09 Regles accidentelles
  240.    wt: 1:   chapitre 04 04 Parlons de la logique
  241.    wt: 1:   chapitre 04 02 Deuxieme enigme
  242.    wt: 1:   chapitre 04 01 Premiere enigme
  243.    wt: 1:   chapitre 04 00 Les regles d implication
  244.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  245.    wt: 1:   problemes algebre et arithmetique
  246.    wt: 1:   Trois Notions qui menent a algebre
  247.    wt: 1:   4 Energy Power Heat09
  248.    wt: 1:   3 Energy Power Heat08
  249.    wt: 1:   2 Energy Power Heat07
  250.    wt: 1:   1 Energy Power Heat06
  251.    wt: 1:   E Energy Power05
  252.    wt: 1:   D Energy Power04
  253.    wt: 1:   C Energy Power03
  254.    wt: 1:   B Energy Power02
  255.    wt: 1:   A Energy Power01
  256.    wt: 1:   G Series Circuit01
  257.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  258.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  259.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  260.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  261.    wt: 1:   22 Student Centered Highschool Mathematics
  262.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  263.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  264.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  265.    wt: 1:   15 Counting For Parents
  266.    wt: 1:   13 Addition and Addition Tables
  267.    wt: 1:   12 Goals and Objectives For Mathematics
  268.    wt: 1:   9 Streaming by Student Cooperation
  269.    wt: 1:   8 The Effect of Negative Remarks
  270.    wt: 1:   5 Patience Please for Yourself and Your Charges
  271.    wt: 1:   4 Learning Takes Time and Effort
  272.    wt: 1:   3 Preparing for Science Studies
  273.    wt: 1:   1 Speaking Skills
  274.    wt: 1:   Ages 12 to 14 Skills with take home value
  275.    wt: 1:   Ages 12 to 14 Arithmetic
  276.    wt: 1:   Ages 10 to 12 Arithmetic
  277.    wt: 1:   Ages 9 to 10
  278.    wt: 1:   Ages 8 to 9
  279.    wt: 1:   Ages 7 to 8
  280.    wt: 1:   Ages 6 to 7
  281.    wt: 1:   Ages 4 plus to 5 plus
  282.    wt: 1:   Ages 3 plus to 4 plus
  283.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  284.    wt: 1:   sign monoticity analysis example 4
  285.    wt: 1:   sign monoticity analysis example 3
  286.    wt: 1:   sign monoticity analysis example 2
  287.    wt: 1:   sign monoticity analysis example 1
  288.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  289.    wt: 1:   23 Inverse Functions
  290.    wt: 1:   17 Function maxima minima and their location
  291.    wt: 1:   13 From one to one to many to one
  292.    wt: 1:   9 Set theory term relation possible origins
  293.    wt: 1:   8 Set view of relations and functions
  294.    wt: 1:   7 Functions with finite domains
  295.    wt: 1:   4 Function notation in and beyond mathematics
  296.    wt: 1:   10 quadratic exercises
  297.    wt: 1:   6 quadratics numerical approach
  298.    wt: 1:   5 quadratics completing the square
  299.    wt: 1:   3 quadratics factoring by inspection
  300.    wt: 1:   10 Exponential Growth and Decay Models
  301.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  302.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  303.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  304.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  305.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  306.    wt: 1:   1 Calculator Starter Exercises
  307.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  308.    wt: 1:   4 Polynomials Long division linear divisor
  309.    wt: 1:   10 arctan left inverse of tangent Definition
  310.    wt: 1:   8 arcsin left inverse of sine Graph
  311.    wt: 1:   5 Swapping Coordinates is a reflection
  312.    wt: 1:   2 cosine function more properties
  313.    wt: 1:   1 cosine function properties
  314.    wt: 1:   9 Summary Degrees to Radians and back
  315.    wt: 1:   8 Radian Measures of Common Angles
  316.    wt: 1:   7 Radian Measures in special Triangles
  317.    wt: 1:   6 Radian Measure to Degrees
  318.    wt: 1:   5 Degrees to Radian Measure
  319.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  320.    wt: 1:   1 Degrees and Radians Introduction
  321.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  322.    wt: 1:   10 Parallelogram Addition Method
  323.    wt: 1:   8 Parallel Vectors
  324.    wt: 1:   6 Vectors with Coordinates
  325.    wt: 1:   2 Signed Coordinates
  326.    wt: 1:   1 Unsigned Coordinates
  327.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  328.    wt: 1:   Parallel Lines and Interior Angles
  329.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  330.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  331.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  332.    wt: 1:   Straight Lines ASA Intersection Study More
  333.    wt: 1:   Straight Lines ASA Intersection Study
  334.    wt: 1:   Straight Lines Intersection of
  335.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  336.    wt: 1:   C Straight Lines Slope from Coordinates
  337.    wt: 1:   8 Straight Lines Equation for vertical
  338.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  339.    wt: 1:   1 Straight Lines Slope Concept
  340.    wt: 1:   32 seven rows of pascals triangle
  341.    wt: 1:   28 Expressing products of sines cosines as sums
  342.    wt: 1:   27 Logarithmic use of products of sines and cosines
  343.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  344.    wt: 1:   21 sine and cosine Half Angle Formulas
  345.    wt: 1:   20 sine and cosine Double Angle Formulas
  346.    wt: 1:   18 sum of sinusoidal waves as a single wave
  347.    wt: 1:   17E Trig Formulas for dot and cross Products
  348.    wt: 1:   17D cis formulas for sine cosines and tangent
  349.    wt: 1:   17C sine and cosine double triple angle formulas
  350.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  351.    wt: 1:   15 sine cosine Complementary Angle Relations
  352.    wt: 1:   14 cosine even and sine and tangent are odd
  353.    wt: 1:   10 Graphs of sines and cosines many periods
  354.    wt: 1:   9 Graphs of sine and cosine over one period
  355.    wt: 1:   2 Quadrant I reference Angles
  356.    wt: 1:   Unit Circle Development of Trigonometry
  357.    wt: 1:   21 Logarithms Powers and Exponentials
  358.    wt: 1:   16 References and Originality Question
  359.    wt: 1:   15 Pythagorean Theorem Converse
  360.    wt: 1:   12 cis formulas for sine cosines and tangent
  361.    wt: 1:   11 sine and cosine double triple angle formulas
  362.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  363.    wt: 1:   8 Unit Circle Development of Trigonometry
  364.    wt: 1:   1 Rectangular Polar Coordinates Review
  365.    wt: 1:   7 Trignometric Ratios Unit Circle
  366.    wt: 1:   3 Trigonometric Ratios sine and cosine
  367.    wt: 1:   Why Trigonometry the whyslopes view
  368.    wt: 1:   12 Triangles Similarity More Problems
  369.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  370.    wt: 1:   9 Similarity of Triangles Usual Criteria
  371.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  372.    wt: 1:   3 Similarity by Design with coordinates
  373.    wt: 1:   2 Similarity By Design
  374.    wt: 1:   Four Simple Exercises
  375.    wt: 1:   7 Exercises to test skill and concept mastery
  376.    wt: 1:   6 Intersection of lines by solving linear systems
  377.    wt: 1:   5 Algebraic View of Slopes
  378.    wt: 1:   1 Numerical view of lines and their equations
  379.    wt: 1:   11 Triangle Inequality
  380.    wt: 1:   10 Pythagorean plane distance formula
  381.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  382.    wt: 1:   3 Rectangular Coordinates Review
  383.    wt: 1:   2 Cartesian Coordinates with signs
  384.    wt: 1:   1 Cartesian Coordinates sans signs
  385.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  386.    wt: 1:   PS G Rotation Distributes over Addition
  387.    wt: 1:   PS B Parallelogram Construction Methods
  388.    wt: 1:   21 Parallelograms
  389.    wt: 1:   18 Triangle Similarity Take 1
  390.    wt: 1:   16 Angles Subtended By Chords and Diameters
  391.    wt: 1:   12 Side Angle Side Failure
  392.    wt: 1:   11 Triangle Construction Fails
  393.    wt: 1:   10 Dropping a perpendicular to line
  394.    wt: 1:   9 Construction of a right bisector
  395.    wt: 1:   8 Isoceles Triangles
  396.    wt: 1:   6 Ruler and compass Angle Bisection
  397.    wt: 1:   5 Side Angle Side
  398.    wt: 1:   2 Correspondence between Triangles
  399.    wt: 1:   Short Course on Euclidean Geometry
  400.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  401.    wt: 1:   2 Measuring Area Directly
  402.    wt: 1:   1 Length Measurement
  403.    wt: 1:   musings do not puiblish real numbers
  404.    wt: 1:   A Signed Number Arithmetic Review
  405.    wt: 1:   26 More Less Greater Than Comparison
  406.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  407.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  408.    wt: 1:   22 Multiplication of Signed Numbers
  409.    wt: 1:   21 Addition of Multiples of a Single Vector
  410.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  411.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  412.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  413.    wt: 1:   12 Real Numbers Line Signed Coordinates
  414.    wt: 1:   11 Signed Number Addition and Addition Properties
  415.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  416.    wt: 1:   9 Division with Digits after Decimal Point
  417.    wt: 1:   E Long Division Methods more
  418.    wt: 1:   D Long Division Methods
  419.    wt: 1:   8 Column Multiplication Methods in General
  420.    wt: 1:   3 Multiplicative Counting Skills Principles
  421.    wt: 1:   2 Combing Counts Addition Skills and Principles
  422.    wt: 1:   5 Areas of Rectangles Revisited
  423.    wt: 1:   3 Inequalities Algebraically
  424.    wt: 1:   2 Algebraic View
  425.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  426.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  427.    wt: 1:   5 Triangle Area Formula Backwards
  428.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  429.    wt: 1:   5 Equality in Algebra
  430.    wt: 1:   4 Comparison of Negative Numbers
  431.    wt: 1:   3 More and Less Than with Unlike Signs
  432.    wt: 1:   13 Real Number Subtraction
  433.    wt: 1:   12 Real Number Additive Inverses or Negatives
  434.    wt: 1:   9 Coordinates for Regions in Space
  435.    wt: 1:   8 Coordinates for Maps and Planes
  436.    wt: 1:   6 Unsigned Real Numbers
  437.    wt: 1:   2 Integers
  438.    wt: 1:   1 Formulas Dependence and Function Notation
  439.    wt: 1:   More Exercises
  440.    wt: 1:   Simple Exercises
  441.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  442.    wt: 1:   4 GE III Animated Examples
  443.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  444.    wt: 1:   3 GE III Equation Addition and Multiplication
  445.    wt: 1:   2 GE II Comparison
  446.    wt: 1:   1 GE Substitution four examples
  447.    wt: 1:   2 Essentially one exercises three with solution
  448.    wt: 1:   6 Algebraic Solution Example
  449.    wt: 1:   5 Algebraic Solutions Introduction
  450.    wt: 1:   Using Letters for Physical Quantities
  451.    wt: 1:   Formula Usage Show Work Format
  452.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  453.    wt: 1:   3 Triangle Area Formula Example
  454.    wt: 1:   2 Another Rectangle Area Formula Example
  455.    wt: 1:   3 Counting with Sets etc
  456.    wt: 1:   2 Venn Diagrams
  457.    wt: 1:   5 Talking about Numbers and Quantities
  458.    wt: 1:   4 A Brief Story of numbers and algebra
  459.    wt: 1:   3 Adding Words To Arithmetic
  460.    wt: 1:   1 Three Skills For Algebra
  461.    wt: 1:   3 Comparison of Negative Numbers
  462.    wt: 1:   2 More and Less Than with Unlike Signs
  463.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  464.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  465.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  466.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  467.    wt: 1:   7 GCD and LCM from prime factorization
  468.    wt: 1:   6 GCD from Prime
  469.    wt: 1:   12 GCD 2700 288 via Prime
  470.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  471.    wt: 1:   4 Counting with Trees Product Rule Take I
  472.    wt: 1:   3 Counting with Tables and Trees II
  473.    wt: 1:   2 Counting with Tables and Trees I
  474.    wt: 1:   11 What are real lengths and numbers
  475.    wt: 1:   7 negative and additive inverse
  476.    wt: 1:   3 Multiplying Units and Numbers
  477.    wt: 1:   20 Dividing Fractions the Why
  478.    wt: 1:   19 Dividing Fractions How TO
  479.    wt: 1:   11 Simplification an Algebraic View
  480.    wt: 1:   6 Multiplication Algebraically Take II
  481.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  482.    wt: 1:   13 Subtraction with Additive Inverse
  483.    wt: 1:   10 Integer Multiplication Formulas
  484.    wt: 1:   7 Multiplication by Signs
  485.    wt: 1:   4 Adding Movements wiht opposite directions
  486.    wt: 1:   3 Adding Movements with same direction
  487.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  488.    wt: 1:   1 Integers as Coordinates
  489.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  490.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  491.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  492.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  493.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  494.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  495.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  496.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  497.    wt: 1:   18 video Count Factors given Prime Factorization
  498.    wt: 1:   17 Identify and Count Factors using Primes
  499.    wt: 1:   16 video Factors of 980 using prime
  500.    wt: 1:   15 video Factors of 20 using Prime Factorization
  501.    wt: 1:   7 Calculator Usage Notes and Cautions
  502.    wt: 1:   Long Division Backwards more
  503.    wt: 1:   Long Division Backward
  504.    wt: 1:   Division with Counts and Length
  505.    wt: 1:   Long Division forwards and backwards Example 3
  506.    wt: 1:   Long Division forwards and backwards Example 2
  507.    wt: 1:   Long Division forwards and backwards Example 1
  508.    wt: 1:   12 Why Long Division Works Take III
  509.    wt: 1:   10 Division by Five Long and Short Ways
  510.    wt: 1:   9 Why Long Division Works Take II
  511.    wt: 1:   8 Correcting the Mistake
  512.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  513.    wt: 1:   5 Long Division Include Zeroes or not
  514.    wt: 1:   4 Division with 2 Digit Divsors
  515.    wt: 1:   C Counting Areas with Powers of Ten
  516.    wt: 1:   4 Two and Three Digit Multipliers
  517.    wt: 1:   3 More One Digit Multipliers
  518.    wt: 1:   2 One Digit Multipliers
  519.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  520.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  521.    wt: 1:   1 Why 3 times 5 gives 15
  522.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  523.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  524.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  525.    wt: 1:   2 Decimal Counting Practices
  526.    wt: 1:   1. Explaining Addition Table
  527.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  528.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  529.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  530.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  531.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  532.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  533.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  534.    wt: 1:   Quick history of numbers and algebra
  535.    wt: 1:   016 Numbering Occidental Calendar Days
  536.    wt: 1:   015 School and work day counting tables
  537.    wt: 1:   014 Counting Days with Calendars
  538.    wt: 1:   013 Travel Time Tables
  539.    wt: 1:   8 Addition of Time Intervals via subtotaling
  540.    wt: 1:   6 How long is a million seconds
  541.    wt: 1:   3 Units and Lengths of Time
  542.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  543.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  544.    wt: 1:   Example 4 with x function of y
  545.    wt: 1:   3 Two Chain Rule Method Exercises
  546.    wt: 1:   1 Chain Rule in Reverse Integration Method
  547.    wt: 1:   34 Derivative of exponential function
  548.    wt: 1:   31 Derivatives of inverse functions
  549.    wt: 1:   29 Chain Rule Optional Reading
  550.    wt: 1:   23 Chain Rule in general
  551.    wt: 1:   19 Chain Rule for linear functions
  552.    wt: 1:   13 sine and cosine derivatives 1st step
  553.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  554.    wt: 1:   4 Numerical properties
  555.    wt: 1:   2 Algebraic codification
  556.    wt: 1:   1 Numerical introduction
  557.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  558.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  559.    wt: 1:   G.5 Motions With Bounded Velocities
  560.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  561.    wt: 1:   G.3 Constant Difference Theorem Proof
  562.    wt: 1:   F.4 Finite Covering Theorem
  563.    wt: 1:   F.2 Closed Range Theorem
  564.    wt: 1:   F.1 What Functions are Continuous
  565.    wt: 1:   E2 Algebraic Properties of Limits
  566.    wt: 1:   C Triangle Inequalities
  567.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  568.    wt: 1:   PostScript For and Against Decimal Perspectives
  569.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  570.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  571.    wt: 1:   Chapter 23 Links To Trigonometry
  572.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  573.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  574.    wt: 1:   Chapter 18. Slopes Areas Integration
  575.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  576.    wt: 1:   Chapter 13. Acceleration
  577.    wt: 1:   Chapter 5. Slope Sign Tests
  578.    wt: 1:   Chapter 4. More Slope Sign Analysis
  579.    wt: 1:   Chapter 3. Slope Sign Analysis
  580.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  581.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  582.    wt: 1:   Chapter 20. Degrees and Radians
  583.    wt: 1:   Chapter 19. Functions and Sets
  584.    wt: 1:   Chapter 18. Rules for Algebra
  585.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  586.    wt: 1:   Chapter 16. Painless Theorem Proving
  587.    wt: 1:   Chapter 15. Solving Linear Equations
  588.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  589.    wt: 1:   Chapter 8 Three Skills For Algebra
  590.    wt: 1:   Solutions For Arithmetic Exercises
  591.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  592.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  593.    wt: 1:   Chapter 4 Longer Chains of Reason
  594.    wt: 1:   Chapter 7 Two Treatments of Geometry
  595.    wt: 1:   Chapter 3 Algebra Difficulties
  596.    wt: 1:   Chapter 2 For and Against Mathematics
  597.    wt: 1:   Postscript B More on Story Telling and Reason
  598.    wt: 1:   Postscript A Story Telling
  599.    wt: 1:   Chapter 18 Sense and Knowledge
  600.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  601.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  602.    wt: 1:   Chapter 7 Longer Chains of Reason
  603.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  604.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  605.    wt: 1:   O On Learning Mathematics and Science
  606.    wt: 1:   N Mathematics Prepare for College Studies
  607.    wt: 1:   N Improving Marks on Tests and Finals
  608.    wt: 1:   J. More on written work and showing skill
  609.    wt: 1:   H more Routine to non routine problem solving
  610.    wt: 1:   C. Domino effect of being careful
  611.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  612.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  613.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  614.    wt: 1:   Chapter 3 Algebra Starter Lessons
  615.    wt: 1:   7 Games and Activities for Instruction
  616.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  617.    wt: 1:   More Algebra and Slope based Calculus Preview
  618.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  619.    wt: 1:   Which Way To Go
  620.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

897 matches:

  1.    wt: 9:   15 cosecant function Definition Graph and Inverse
  2.    wt: 9:   14 secant function Definition Graph and Inverse
  3.    wt: 9:   11 arctan left inverse of tangent Graph
  4.    wt: 9:   6 Graph of arccos function
  5.    wt: 9:   3 Circle Arclengh Proportional to Central Angle
  6.    wt: 9:   2 Radian Measure Numerical Value of one degree
  7.    wt: 9:   14 Why Scalar Multiplication Distributes Physical Argument
  8.    wt: 9:   10 Parallelogram Addition Method
  9.    wt: 9:   8 Parallel Vectors
  10.    wt: 9:   6 Vectors with Coordinates
  11.    wt: 9:   2 Signed Coordinates
  12.    wt: 9:   1 Unsigned Coordinates
  13.    wt: 9:   Triangle Angles Sum To 180 Degrees
  14.    wt: 9:   Parallel Lines and Alternating Corresponding Angles
  15.    wt: 9:   Straight Lines Instersection Solving Equations
  16.    wt: 9:   B Straight Line Slope Scaling Properties More
  17.    wt: 9:   A Straight Line Slope Scaling Properties
  18.    wt: 9:   14 Straight Lines Equations General Case
  19.    wt: 9:   7 Tangent Function is odd on this domain
  20.    wt: 9:   4 Tangent Function Properties
  21.    wt: 9:   17 tangent function angle sum formulas
  22.    wt: 9:   32 seven rows of pascals triangle
  23.    wt: 9:   31 basic secant cosecant cotangent trig identities
  24.    wt: 9:   16 Right Triangle Complementary Angle Relations
  25.    wt: 9:   12 Graph of tangent function for one period
  26.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  27.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  28.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  29.    wt: 9:   13 Navigation Location from Angles to 2 Landmarks
  30.    wt: 9:   15 Triangle Angle Sum is 180 degrees
  31.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  32.    wt: 8:   10 arctan left inverse of tangent Definition
  33.    wt: 8:   8 arcsin left inverse of sine Graph
  34.    wt: 8:   5 Swapping Coordinates is a reflection
  35.    wt: 8:   3 Left Inverse of cosine arccos definition
  36.    wt: 8:   2 cosine function more properties
  37.    wt: 8:   1 cosine function properties
  38.    wt: 8:   9 Summary Degrees to Radians and back
  39.    wt: 8:   8 Radian Measures of Common Angles
  40.    wt: 8:   7 Radian Measures in special Triangles
  41.    wt: 8:   6 Radian Measure to Degrees
  42.    wt: 8:   5 Degrees to Radian Measure
  43.    wt: 8:   4 Circle Sector Area proportional to Central Angle
  44.    wt: 8:   1 Degrees and Radians Introduction
  45.    wt: 8:   15 Dot and Cross Product
  46.    wt: 8:   12 From Applied To Pure Mathematics
  47.    wt: 8:   11 Component Method
  48.    wt: 8:   9 Head to Tail Coordinate View
  49.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  50.    wt: 8:   5 Head To Tail Arrow Addition
  51.    wt: 8:   4 Resultant of a Sum of Movements
  52.    wt: 8:   Vector and Complex Number Applet
  53.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  54.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  55.    wt: 8:   Analytic View of Triangle Construction or Line Instersection More
  56.    wt: 8:   Straight Lines ASA Intersection Study More
  57.    wt: 8:   Straight Lines ASA Intersection Study
  58.    wt: 8:   Straight Lines Intersection of
  59.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  60.    wt: 8:   C Straight Lines Slope from Coordinates
  61.    wt: 8:   8 Straight Lines Equation for vertical
  62.    wt: 8:   2 Straight Lines Slopes As Rise Over Run
  63.    wt: 8:   1 Straight Lines Slope Concept
  64.    wt: 8:   30 unit circle calculation of six trigonometric functions
  65.    wt: 8:   29 secant cosecant and cotangent for acute angles
  66.    wt: 8:   25 tangent double angle formula Slope connection
  67.    wt: 8:   24 tangent Angle Difference Formula
  68.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  69.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  70.    wt: 8:   17G Pythagorean Theorem Converse
  71.    wt: 8:   17A The complex number valued trig function cis
  72.    wt: 8:   15 sine cosine Complementary Angle Relations
  73.    wt: 8:   11 tangent function undefined when terminal side vertical
  74.    wt: 8:   8 period of tangent function
  75.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  76.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  77.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  78.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  79.    wt: 8:   13 Trig Formulas for dot and cross Products
  80.    wt: 8:   8 Triangles Cascade Problem Solving
  81.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  82.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  83.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  84.    wt: 8:   1 Angle Measurement with Degrees
  85.    wt: 8:   6 Geometric Diagrams in Class
  86.    wt: 8:   13 Pythagorean spatial distance formulas
  87.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  88.    wt: 8:   19 Right Triangle Similarity
  89.    wt: 8:   17 Right Bisectors of Triangle Sides
  90.    wt: 8:   7 Angle Side Angle
  91.    wt: 8:   3 Isometry of Triangles Congruence
  92.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  93.    wt: 8:   2 Measuring Area Directly
  94.    wt: 8:   1 Length Measurement
  95.    wt: 7:   12 motivation for term arctan
  96.    wt: 7:   9 motivation for name arcsin
  97.    wt: 7:   7 arcsin left inverse of sine Definition
  98.    wt: 7:   4 possible motivation for term arccos
  99.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  100.    wt: 7:   Parallel Lines and Interior Angles
  101.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  102.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  103.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  104.    wt: 7:   28 Expressing products of sines cosines as sums
  105.    wt: 7:   27 Logarithmic use of products of sines and cosines
  106.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  107.    wt: 7:   21 sine and cosine Half Angle Formulas
  108.    wt: 7:   20 sine and cosine Double Angle Formulas
  109.    wt: 7:   18 sum of sinusoidal waves as a single wave
  110.    wt: 7:   17E Trig Formulas for dot and cross Products
  111.    wt: 7:   17D cis formulas for sine cosines and tangent
  112.    wt: 7:   17C sine and cosine double triple angle formulas
  113.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  114.    wt: 7:   14 cosine even and sine and tangent are odd
  115.    wt: 7:   10 Graphs of sines and cosines many periods
  116.    wt: 7:   9 Graphs of sine and cosine over one period
  117.    wt: 7:   2 Quadrant I reference Angles
  118.    wt: 7:   Unit Circle Development of Trigonometry
  119.    wt: 7:   9 The complex number valued trig function cis
  120.    wt: 7:   7 Trignometric Ratios Unit Circle
  121.    wt: 7:   3 Trigonometric Ratios sine and cosine
  122.    wt: 7:   Why Trigonometry the whyslopes view
  123.    wt: 7:   11 Triangle Similarity Missing Side Problem
  124.    wt: 7:   8 Similarity of Triangles and Polygons
  125.    wt: 7:   3 Similarity by Design with coordinates
  126.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  127.    wt: 7:   PS G Rotation Distributes over Addition
  128.    wt: 7:   PS B Parallelogram Construction Methods
  129.    wt: 7:   21 Parallelograms
  130.    wt: 7:   18 Triangle Similarity Take 1
  131.    wt: 7:   16 Angles Subtended By Chords and Diameters
  132.    wt: 7:   12 Side Angle Side Failure
  133.    wt: 7:   11 Triangle Construction Fails
  134.    wt: 7:   10 Dropping a perpendicular to line
  135.    wt: 7:   9 Construction of a right bisector
  136.    wt: 7:   8 Isoceles Triangles
  137.    wt: 7:   6 Ruler and compass Angle Bisection
  138.    wt: 7:   5 Side Angle Side
  139.    wt: 7:   2 Correspondence between Triangles
  140.    wt: 7:   Short Course on Euclidean Geometry
  141.    wt: 7:   A Measurement with Ruler Proper Use
  142.    wt: 7:   4 Commutative Law Groups Counting Form
  143.    wt: 7:   1 The Counting Origins of Numbers
  144.    wt: 6:   Parallel Lines and Parallel Transversals
  145.    wt: 6:   26 Formulas for products of sines and cosines
  146.    wt: 6:   17F Law of cosines
  147.    wt: 6:   7 period of sine and cosine
  148.    wt: 6:   1 Unit Points Reflections Rotations
  149.    wt: 6:   21 Logarithms Powers and Exponentials
  150.    wt: 6:   16 References and Originality Question
  151.    wt: 6:   15 Pythagorean Theorem Converse
  152.    wt: 6:   12 cis formulas for sine cosines and tangent
  153.    wt: 6:   11 sine and cosine double triple angle formulas
  154.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  155.    wt: 6:   8 Unit Circle Development of Trigonometry
  156.    wt: 6:   1 Rectangular Polar Coordinates Review
  157.    wt: 6:   12 Triangles Similarity More Problems
  158.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  159.    wt: 6:   9 Similarity of Triangles Usual Criteria
  160.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  161.    wt: 6:   2 Similarity By Design
  162.    wt: 6:   Four Simple Exercises
  163.    wt: 6:   7 Exercises to test skill and concept mastery
  164.    wt: 6:   6 Intersection of lines by solving linear systems
  165.    wt: 6:   5 Algebraic View of Slopes
  166.    wt: 6:   1 Numerical view of lines and their equations
  167.    wt: 6:   11 Triangle Inequality
  168.    wt: 6:   10 Pythagorean plane distance formula
  169.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  170.    wt: 6:   3 Rectangular Coordinates Review
  171.    wt: 6:   2 Cartesian Coordinates with signs
  172.    wt: 6:   1 Cartesian Coordinates sans signs
  173.    wt: 6:   PS H Distributive Law For Complex Numbers
  174.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  175.    wt: 6:   PS E Multiplication with Polar Coordinates
  176.    wt: 6:   PS D Addition with Cartesian Coordinates
  177.    wt: 6:   PS A Kite Construction Methods
  178.    wt: 6:   14 Parallel Lines Postulate
  179.    wt: 6:   4 Side Side Side
  180.    wt: 6:   1 Initial Concepts and Terms
  181.    wt: 6:   E Long Division Methods more
  182.    wt: 6:   D Long Division Methods
  183.    wt: 6:   8 Column Multiplication Methods in General
  184.    wt: 6:   3 Multiplicative Counting Skills Principles
  185.    wt: 6:   2 Combing Counts Addition Skills and Principles
  186.    wt: 6:   13 GCD from given Prime Factorization
  187.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  188.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  189.    wt: 5:   12 Function Domain Recognition Exercises
  190.    wt: 5:   11 Function Domain Range Source and Targets
  191.    wt: 5:   3 Formula or function graphing exercise
  192.    wt: 5:   2 quadratics graphing in general
  193.    wt: 5:   1 quadratics graphing exercises
  194.    wt: 5:   20 N th Roots of Complex Numbers
  195.    wt: 5:   19 N th Roots of Unity
  196.    wt: 5:   18 Sixth Roots of Unity
  197.    wt: 5:   17 Cube Roots of unity
  198.    wt: 5:   14 Law of cosines
  199.    wt: 5:   7 Second Way to Calculate Products
  200.    wt: 5:   6 Field Properties of Complex Number
  201.    wt: 5:   5 An Easy Proof of the Distributive Law
  202.    wt: 5:   4 Multiplication Properties
  203.    wt: 5:   3 Addition Properties
  204.    wt: 5:   2 Complex Numbers made easier we hope
  205.    wt: 5:   Appetizer A Complex Number Applet
  206.    wt: 5:   7 Translations Rotations Reflections Dilatations
  207.    wt: 5:   4 Similarity Definition with Coordinate
  208.    wt: 5:   1 Early Concept of Like or Similar Shapes
  209.    wt: 5:   12 Links Lessons elsewhere
  210.    wt: 5:   11 A Partial Summary
  211.    wt: 5:   10 Midpoint of [a b] and [b a]
  212.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  213.    wt: 5:   8 Mid Point Formula
  214.    wt: 5:   4 Equations for lines three forms
  215.    wt: 5:   3 Slope product for perpendicular lines
  216.    wt: 5:   2 point slope equation for a line
  217.    wt: 5:   What is and is not here
  218.    wt: 5:   12 Spatial Coordinates
  219.    wt: 5:   8 Distance Between Points on a Line
  220.    wt: 5:   7 Complex Numbers Appetizer
  221.    wt: 5:   6 Polar Multiplication and Rotation
  222.    wt: 5:   5 Cartesian Addition and Translation
  223.    wt: 5:   4 Polar Coordinates to and from
  224.    wt: 5:   About Folder Contents
  225.    wt: 5:   C Three Decimal Subtraction Methods
  226.    wt: 5:   B Decimal Comparison and Subtraction
  227.    wt: 5:   A Decimal Addition Columm Methods
  228.    wt: 5:   7 Decimals Multiplication Methods Examples
  229.    wt: 5:   6 Column Methods for Decimal Multiplication
  230.    wt: 5:   5 Distributive Law for Whole Numbers
  231.    wt: 5:   1 Changing Calculations
  232.    wt: 5:   5 Greater More Less Than Signs in General
  233.    wt: 5:   1 Proper Equal Sign Usage
  234.    wt: 5:   4 Greater More Less Than Signs in General
  235.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  236.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  237.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  238.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  239.    wt: 5:   8 GCD from Euclidean Algorithm
  240.    wt: 5:   7 GCD and LCM from prime factorization
  241.    wt: 5:   Chapter 13. Second Reading Guide
  242.    wt: 5:   4 Money Matters Saving Earning Buying Selling and Budgets
  243.    wt: 4:   Ramblings Introduction Algebra Essay
  244.    wt: 4:   26 Function definitions done and coming
  245.    wt: 4:   22 Square Root function graphically
  246.    wt: 4:   20 Interchanging coordinates a reflection
  247.    wt: 4:   16 Increasing or decreasing on intervals
  248.    wt: 4:   15 Sign analysis of functions
  249.    wt: 4:   13 From one to one to many to one
  250.    wt: 4:   5 Function notation for geometric transformations
  251.    wt: 4:   2 Algebraic use of function notation
  252.    wt: 4:   1 Geometric Introduction of Function Notation
  253.    wt: 4:   Introduction Reading Guide
  254.    wt: 4:   11 Growth and Decay in Biology
  255.    wt: 4:   5 Natural Logarithm Calculator Exercises
  256.    wt: 4:   Rewriting algebraic substitution as function substitutions
  257.    wt: 4:   5 Areas of Rectangles Revisited
  258.    wt: 4:   3 Inequalities Algebraically
  259.    wt: 4:   8 Pythagorean Relation Forwards Backwards
  260.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  261.    wt: 4:   5 Triangle Area Formula Backwards
  262.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  263.    wt: 4:   4 Changing Letters
  264.    wt: 4:   3 Geometric Formulas and Function Notation
  265.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  266.    wt: 4:   4 GE III Animated Examples
  267.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  268.    wt: 4:   3 GE III Equation Addition and Multiplication
  269.    wt: 4:   2 GE II Comparison
  270.    wt: 4:   1 GE Substitution four examples
  271.    wt: 4:   4 Solving a triangular system exercise
  272.    wt: 4:   3 Solving triangular system example
  273.    wt: 4:   6 Algebraic Solution Example
  274.    wt: 4:   5 Algebraic Solutions Introduction
  275.    wt: 4:   13 Naming Identifying Formulas with Words
  276.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  277.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  278.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  279.    wt: 4:   6 GCD from Prime
  280.    wt: 4:   12 GCD 2700 288 via Prime
  281.    wt: 4:   7 Adding decimal fractions using decimal point
  282.    wt: 4:   6. Counting and adding units and mixed units
  283.    wt: 4:   26 Chain Rule Recognising outer inner functions
  284.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  285.    wt: 4:   Chapter 10 Describing and Changing Calculations
  286.    wt: 4:   Chapter 6 Change of Language
  287.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  288.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  289.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  290.    wt: 3:   G LAMP Introduction Problem Solving Skills
  291.    wt: 3:   Ramblings Extrinsic numbers theory
  292.    wt: 3:   Skills Chapter 3 Algebra
  293.    wt: 3:   grouping students according to ability
  294.    wt: 3:   Maps Plans Drawings
  295.    wt: 3:   teaching tutoring algebraic reason
  296.    wt: 3:   chapitre 04 06 engagements
  297.    wt: 3:   chapitre 04 05 Implication versus suggestion
  298.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  299.    wt: 3:   sign monoticity analysis example 4
  300.    wt: 3:   sign monoticity analysis example 3
  301.    wt: 3:   sign monoticity analysis example 2
  302.    wt: 3:   sign monoticity analysis example 1
  303.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  304.    wt: 3:   23 Inverse Functions
  305.    wt: 3:   17 Function maxima minima and their location
  306.    wt: 3:   9 Set theory term relation possible origins
  307.    wt: 3:   8 Set view of relations and functions
  308.    wt: 3:   7 Functions with finite domains
  309.    wt: 3:   4 Function notation in and beyond mathematics
  310.    wt: 3:   10 quadratic exercises
  311.    wt: 3:   6 quadratics numerical approach
  312.    wt: 3:   5 quadratics completing the square
  313.    wt: 3:   3 quadratics factoring by inspection
  314.    wt: 3:   10 Exponential Growth and Decay Models
  315.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  316.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  317.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  318.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  319.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  320.    wt: 3:   1 Calculator Starter Exercises
  321.    wt: 3:   19 Signed Multiples of Vectors
  322.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  323.    wt: 3:   13 Arrows and Vectors in a Plane
  324.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  325.    wt: 3:   2 Counting Digits in Decimal Multiplication
  326.    wt: 3:   4 Fraction Operations Axiomatic Development
  327.    wt: 3:   2 Fraction Operations Physical Development
  328.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  329.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  330.    wt: 3:   6 Compound Interest Forward and Backwards
  331.    wt: 3:   3 Linear Equation Literal Solution More
  332.    wt: 3:   2 Linear Equation Literal Solution
  333.    wt: 3:   5 Equality in Algebra
  334.    wt: 3:   4 Comparison of Negative Numbers
  335.    wt: 3:   3 More and Less Than with Unlike Signs
  336.    wt: 3:   10 Real Number Lengths and Signs
  337.    wt: 3:   1 Formulas Dependence and Function Notation
  338.    wt: 3:   More Exercises
  339.    wt: 3:   Simple Exercises
  340.    wt: 3:   2 Essentially one exercises three with solution
  341.    wt: 3:   4 Four Examples Fractional Coefficients
  342.    wt: 3:   3 Four Examples
  343.    wt: 3:   2 Three Examples
  344.    wt: 3:   Skill Development Notes
  345.    wt: 3:   10 One Example
  346.    wt: 3:   9 Three Examples
  347.    wt: 3:   8 One Example
  348.    wt: 3:   7 Two Examples
  349.    wt: 3:   6 Three Examples
  350.    wt: 3:   5 Three Examples
  351.    wt: 3:   4 Two Examples
  352.    wt: 3:   3 Two Examples
  353.    wt: 3:   2 Three Examples
  354.    wt: 3:   Using Letters for Physical Quantities
  355.    wt: 3:   Formula Usage Show Work Format
  356.    wt: 3:   1 Written work formats for developing and showing skill
  357.    wt: 3:   3 Counting with Sets etc
  358.    wt: 3:   2 Venn Diagrams
  359.    wt: 3:   3 Comparison of Negative Numbers
  360.    wt: 3:   2 More and Less Than with Unlike Signs
  361.    wt: 3:   5 Common Divisors 60 45 via Prime
  362.    wt: 3:   4 LCM of 8 and 10 via Prime
  363.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  364.    wt: 3:   2 Least Common Multiple LCM intro via list method
  365.    wt: 3:   1 Least Common Multiples LCM Introduction
  366.    wt: 3:   10 dividing signed numbers
  367.    wt: 3:   9 subtracting signed numbers
  368.    wt: 3:   8 multiplying signed numbers
  369.    wt: 3:   6 adding signed numbers
  370.    wt: 3:   5 lengths and signs of numbers
  371.    wt: 3:   4 signed coordinates for regions in space
  372.    wt: 3:   3 signed coordinates for maps and planes
  373.    wt: 3:   2 signed and unsigned numbers as coordinates
  374.    wt: 3:   7 Converting or Changing Units
  375.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  376.    wt: 3:   B Integer Long Division Multiple Choices
  377.    wt: 3:   12 Adding Integers More Examples
  378.    wt: 3:   11 Adding Integers Formulas and Examples
  379.    wt: 3:   9 Multiplying Integers
  380.    wt: 3:   8 Multiplication by Signed Numbers Integers
  381.    wt: 3:   13 video Factors of 24 using prime
  382.    wt: 3:   11 Another Single Digit Divisor Example
  383.    wt: 3:   7 Long Divison Mistake Catching
  384.    wt: 3:   3 Division Single Digit Divisor Example
  385.    wt: 3:   2 Division with Single Digit Divisors
  386.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  387.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  388.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  389.    wt: 3:   2 Decimal Counting Practices
  390.    wt: 3:   1. Explaining Addition Table
  391.    wt: 3:   4 Mixing and Changing Units of Time
  392.    wt: 3:   4 Definite Integrals Evaluation Exercises
  393.    wt: 3:   2 Indefinite Integrals Exercises
  394.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  395.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  396.    wt: 3:   10 Power rule for negative integers
  397.    wt: 3:   3 Decimal insights for limits continuity convergence
  398.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  399.    wt: 3:   Chapter 21. Third Reading Guide
  400.    wt: 3:   Chapter 12. Shorthand Usage Guide
  401.    wt: 3:   Chapter 8 Change of Language
  402.    wt: 3:   I. Logic and language skills
  403.    wt: 3:   G. Written work formats for developing and showing skill
  404.    wt: 2:   K LAMP Musings Science Education
  405.    wt: 2:   J LAMP Introduction Extrinsic Origins
  406.    wt: 2:   Skills Chapter 4 Logic
  407.    wt: 2:   Skills Chapter 2 Geometry
  408.    wt: 2:   8 analytic geometry etc
  409.    wt: 2:   7 logic review and decimals an odd combination
  410.    wt: 2:   5 logarithms and exponentials etc
  411.    wt: 2:   4 algebra
  412.    wt: 2:   3 Euclidean Geometry Leanly
  413.    wt: 2:   2 arithmetic with signed numbers
  414.    wt: 2:   1 arithmetic with unsigned numbers
  415.    wt: 2:   geometric implications for algebra
  416.    wt: 2:   Lessening Algebra Difficulties
  417.    wt: 2:   05 13 OldSiteEntrancePage
  418.    wt: 2:   cultivating intelligence
  419.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  420.    wt: 2:   chapitre 04 09 Regles accidentelles
  421.    wt: 2:   chapitre 04 04 Parlons de la logique
  422.    wt: 2:   chapitre 04 02 Deuxieme enigme
  423.    wt: 2:   chapitre 04 01 Premiere enigme
  424.    wt: 2:   chapitre 04 00 Les regles d implication
  425.    wt: 2:   logique deux enigme
  426.    wt: 2:   Home Tutoring and Home Schooling
  427.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  428.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  429.    wt: 2:   17 Math Booklets for children and young teenagers
  430.    wt: 2:   13 Addition and Addition Tables
  431.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  432.    wt: 2:   2 Reading and Writing Skills
  433.    wt: 2:   Ages 12 to 14 Geometry
  434.    wt: 2:   Ages 10 to 12 Geometry
  435.    wt: 2:   19 Horizontal line rule and method
  436.    wt: 2:   18 Vertical Line Rule and Method
  437.    wt: 2:   14 Surjections Injections Bijections
  438.    wt: 2:   10 Interval Notation
  439.    wt: 2:   6 Set Existence Formation and Notation
  440.    wt: 2:   A Quadratics Summary
  441.    wt: 2:   9 quadratics physical and further context
  442.    wt: 2:   8 quadratics backward use of various formulas
  443.    wt: 2:   7 quadratic formulla derivation
  444.    wt: 2:   4 quadratics difference of two squares
  445.    wt: 2:   Quadratics in 10 steps
  446.    wt: 2:   2 Square Root Simplification a prequel
  447.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  448.    wt: 2:   4 Polynomials Long division linear divisor
  449.    wt: 2:   musings do not puiblish real numbers
  450.    wt: 2:   A Signed Number Arithmetic Review
  451.    wt: 2:   26 More Less Greater Than Comparison
  452.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  453.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  454.    wt: 2:   22 Multiplication of Signed Numbers
  455.    wt: 2:   21 Addition of Multiples of a Single Vector
  456.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  457.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  458.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  459.    wt: 2:   12 Real Numbers Line Signed Coordinates
  460.    wt: 2:   11 Signed Number Addition and Addition Properties
  461.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  462.    wt: 2:   9 Division with Digits after Decimal Point
  463.    wt: 2:   2 Algebraic View
  464.    wt: 2:   6 Equations and Systems Equivalent or Implied
  465.    wt: 2:   4 Subtraction and Division Axioms
  466.    wt: 2:   3 Product Axioms Two Forms
  467.    wt: 2:   2 Addition and Multiplication Axioms
  468.    wt: 2:   1 Equivalent Computation Rules
  469.    wt: 2:   2 More and Less Than for Counts and Measures
  470.    wt: 2:   1 Real Numbers Comparison
  471.    wt: 2:   13 Real Number Subtraction
  472.    wt: 2:   12 Real Number Additive Inverses or Negatives
  473.    wt: 2:   9 Coordinates for Regions in Space
  474.    wt: 2:   8 Coordinates for Maps and Planes
  475.    wt: 2:   6 Unsigned Real Numbers
  476.    wt: 2:   2 Integers
  477.    wt: 2:   5 Independent versus Dependent Variables
  478.    wt: 2:   2 Computation Rules Evaluation
  479.    wt: 2:   1 Essentially One Unknown
  480.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  481.    wt: 2:   3 Triangle Area Formula Example
  482.    wt: 2:   2 Another Rectangle Area Formula Example
  483.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  484.    wt: 2:   9 Sets in Probability and Statistics
  485.    wt: 2:   8 Sets of Numbers
  486.    wt: 2:   7 Cautious or Safe Set Construction
  487.    wt: 2:   6 Power Set Notation
  488.    wt: 2:   5 Product Builder Notation
  489.    wt: 2:   4 Subset Builder Notation
  490.    wt: 2:   1 Finite Sets
  491.    wt: 2:   5 Talking about Numbers and Quantities
  492.    wt: 2:   4 A Brief Story of numbers and algebra
  493.    wt: 2:   3 Adding Words To Arithmetic
  494.    wt: 2:   1 Three Skills For Algebra
  495.    wt: 2:   1 More and Less Than for Counts and Measures
  496.    wt: 2:   1 Counting and Counting Methods I
  497.    wt: 2:   11 What are real lengths and numbers
  498.    wt: 2:   7 negative and additive inverse
  499.    wt: 2:   21 Working With Signs
  500.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  501.    wt: 2:   14 Adding and Subtracting with Like Denominators
  502.    wt: 2:   13 Fraction Comparison Algebraic View
  503.    wt: 2:   A Associative Law Theorectical Note
  504.    wt: 2:   13 Subtraction with Additive Inverse
  505.    wt: 2:   10 Integer Multiplication Formulas
  506.    wt: 2:   7 Multiplication by Signs
  507.    wt: 2:   4 Adding Movements wiht opposite directions
  508.    wt: 2:   3 Adding Movements with same direction
  509.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  510.    wt: 2:   1 Integers as Coordinates
  511.    wt: 2:   12 LCD GCD and LCM using Primes
  512.    wt: 2:   1 video how Products are bigger than factor
  513.    wt: 2:   Long Division Backwards more
  514.    wt: 2:   Long Division Backward
  515.    wt: 2:   Division with Counts and Length
  516.    wt: 2:   Long Division forwards and backwards Example 3
  517.    wt: 2:   Long Division forwards and backwards Example 2
  518.    wt: 2:   Long Division forwards and backwards Example 1
  519.    wt: 2:   12 Why Long Division Works Take III
  520.    wt: 2:   10 Division by Five Long and Short Ways
  521.    wt: 2:   9 Why Long Division Works Take II
  522.    wt: 2:   8 Correcting the Mistake
  523.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  524.    wt: 2:   5 Long Division Include Zeroes or not
  525.    wt: 2:   4 Division with 2 Digit Divsors
  526.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  527.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  528.    wt: 2:   Subtraction with J Conversions Example
  529.    wt: 2:   Subtraction Another Video Lesson
  530.    wt: 2:   9 22 Minute Subtraction Review Video
  531.    wt: 2:   8 Subtraction with Units of Measure
  532.    wt: 2:   5 A Tip for Efficent Subtraction
  533.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  534.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  535.    wt: 2:   2 Subtraction Easy Case Examples
  536.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  537.    wt: 2:   8 What skills and work habits to require
  538.    wt: 2:   5. How to add decimals C. Examples
  539.    wt: 2:   4. How to add with decimals B with conversions
  540.    wt: 2:   3. How to add with decimals A sans conversions
  541.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  542.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  543.    wt: 2:   3 Two Chain Rule Method Exercises
  544.    wt: 2:   1 Chain Rule in Reverse Integration Method
  545.    wt: 2:   34 Derivative of exponential function
  546.    wt: 2:   31 Derivatives of inverse functions
  547.    wt: 2:   29 Chain Rule Optional Reading
  548.    wt: 2:   23 Chain Rule in general
  549.    wt: 2:   19 Chain Rule for linear functions
  550.    wt: 2:   13 sine and cosine derivatives 1st step
  551.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  552.    wt: 2:   4 Numerical properties
  553.    wt: 2:   2 Algebraic codification
  554.    wt: 2:   1 Numerical introduction
  555.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  556.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  557.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  558.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  559.    wt: 2:   Chapter 13. Acceleration
  560.    wt: 2:   Chapter 11. Graphing Slope versus Position
  561.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  562.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  563.    wt: 2:   Chapter 20. Degrees and Radians
  564.    wt: 2:   Chapter 19. Functions and Sets
  565.    wt: 2:   Chapter 18. Rules for Algebra
  566.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  567.    wt: 2:   Chapter 16. Painless Theorem Proving
  568.    wt: 2:   Chapter 15. Solving Linear Equations
  569.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  570.    wt: 2:   Chapter 8 Three Skills For Algebra
  571.    wt: 2:   Solutions For Arithmetic Exercises
  572.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  573.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  574.    wt: 2:   Chapter 4 Longer Chains of Reason
  575.    wt: 2:   S Adding words to algebra
  576.    wt: 2:   H Jigsaw puzzles and problem solving
  577.    wt: 2:   Chapter 6 More Algebra and Geometry
  578.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  579.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  580.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  581.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  582.    wt: 2:   Helping the Blind in Logic and Mathematics
  583.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  584.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  585.    wt: 2:   Systematic Algebra Skill Development Missing Links
  586.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  587.    wt: 1:   Appendix 2 primary school Arithmetic 01
  588.    wt: 1:   Appendix 1 primary and preschool mathematic
  589.    wt: 1:   I LAMP Introduction Study Habits
  590.    wt: 1:   H LAMP Introduction Instructional Concepts
  591.    wt: 1:   F LAMP Introduction Prerequisites
  592.    wt: 1:   E LAMP Introduction Modern Mathematics
  593.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  594.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  595.    wt: 1:   A Introduction Objectives
  596.    wt: 1:   Skills Chapter 5 Calculus
  597.    wt: 1:   Skills Chapter 1 Arithmetic
  598.    wt: 1:   Skills Chapter 0 Introduction
  599.    wt: 1:   11 pure mathematics
  600.    wt: 1:   10 statistics
  601.    wt: 1:   9 combinatorics probability sets
  602.    wt: 1:   6 polynomials etc
  603.    wt: 1:   What is POMME
  604.    wt: 1:   which way to go
  605.    wt: 1:   three goals to set for students
  606.    wt: 1:   Teach the teachers plus goals
  607.    wt: 1:   Applied Maths Program14092009 POMME variant
  608.    wt: 1:   site origins
  609.    wt: 1:   About site lesson plans
  610.    wt: 1:   learning takes time
  611.    wt: 1:   talk the algebra talk
  612.    wt: 1:   teaching tips
  613.    wt: 1:   the trouble with algebra
  614.    wt: 1:   three goals for Mathematics Education
  615.    wt: 1:   Theory of Knowledge
  616.    wt: 1:   mathematics instruction in general
  617.    wt: 1:   Education in mathematics science and technology
  618.    wt: 1:   Different Kinds of Reasoning in maths
  619.    wt: 1:   chapitre 12 00 les iles et division
  620.    wt: 1:   chapitre 07 01 principle D induction mathematique
  621.    wt: 1:   chapitre 06 00 Chaines de la raison
  622.    wt: 1:   chapitre 05 00 Deception
  623.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  624.    wt: 1:   chapitre 04 08 Limitations et benefices
  625.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  626.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  627.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  628.    wt: 1:   chapitre 02 00 La Communication des idees
  629.    wt: 1:   chapitre 01 00 Introduction
  630.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  631.    wt: 1:   problemes algebre et arithmetique
  632.    wt: 1:   Trois Notions qui menent a algebre
  633.    wt: 1:   4 Energy Power Heat09
  634.    wt: 1:   3 Energy Power Heat08
  635.    wt: 1:   2 Energy Power Heat07
  636.    wt: 1:   1 Energy Power Heat06
  637.    wt: 1:   E Energy Power05
  638.    wt: 1:   D Energy Power04
  639.    wt: 1:   C Energy Power03
  640.    wt: 1:   B Energy Power02
  641.    wt: 1:   A Energy Power01
  642.    wt: 1:   A Wire Resistance Qualitative01
  643.    wt: 1:   G Series Circuit01
  644.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  645.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  646.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  647.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  648.    wt: 1:   22 Student Centered Highschool Mathematics
  649.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  650.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  651.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  652.    wt: 1:   15 Counting For Parents
  653.    wt: 1:   12 Goals and Objectives For Mathematics
  654.    wt: 1:   9 Streaming by Student Cooperation
  655.    wt: 1:   8 The Effect of Negative Remarks
  656.    wt: 1:   5 Patience Please for Yourself and Your Charges
  657.    wt: 1:   4 Learning Takes Time and Effort
  658.    wt: 1:   3 Preparing for Science Studies
  659.    wt: 1:   1 Speaking Skills
  660.    wt: 1:   Ages 12 to 14 Skills with take home value
  661.    wt: 1:   Ages 12 to 14 Arithmetic
  662.    wt: 1:   Ages 10 to 12 Arithmetic
  663.    wt: 1:   Ages 9 to 10
  664.    wt: 1:   Ages 8 to 9
  665.    wt: 1:   Ages 7 to 8
  666.    wt: 1:   Ages 6 to 7
  667.    wt: 1:   Ages 4 plus to 5 plus
  668.    wt: 1:   Ages 3 plus to 4 plus
  669.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  670.    wt: 1:   8 Notes for instructors or tutors
  671.    wt: 1:   7 Links Lessons Elsewhere
  672.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  673.    wt: 1:   3 Polynomials Multiplication Addition
  674.    wt: 1:   2 Column Multiplication Method
  675.    wt: 1:   1 Polynomials Distributive Law
  676.    wt: 1:   A Modular and Remainder Arithmetic
  677.    wt: 1:   23 Distributive Law Two Derivations
  678.    wt: 1:   15 Head to Tails in place Addition Associative
  679.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  680.    wt: 1:   8 Division and Mulplication of Compound Fractions
  681.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  682.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  683.    wt: 1:   4 Location of Point in Decimal Addition
  684.    wt: 1:   3 Location of Point in Decimal Multiplication
  685.    wt: 1:   1 Fractions with Finite Decimal Expansions
  686.    wt: 1:   5 Proportionality in Equivalent Fractions
  687.    wt: 1:   4 Rates Ratios and Proporitionality
  688.    wt: 1:   3 Proportionality Examples
  689.    wt: 1:   1 What is Proportionality
  690.    wt: 1:   16 Real Numbers Comparison
  691.    wt: 1:   15 Real Number Division
  692.    wt: 1:   14 Real Number Multiplication
  693.    wt: 1:   11 Real Number Addition
  694.    wt: 1:   7 Real Numbers as Line Cordinates
  695.    wt: 1:   5 Rational Numbers More
  696.    wt: 1:   4 Rational Numbers
  697.    wt: 1:   3 Fractions
  698.    wt: 1:   1 Whole and Natural Numbers
  699.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  700.    wt: 1:   11 Volume of Sphere
  701.    wt: 1:   10 Volume of Pyramid
  702.    wt: 1:   9 Volume of Cone
  703.    wt: 1:   8 Compound Interest Formula Evaluation
  704.    wt: 1:   7 Compound Interest Formula Introduction
  705.    wt: 1:   5 Box Volume Formula Example
  706.    wt: 1:   4 Circle Area Formula Example
  707.    wt: 1:   6 Three Notions of What is a Variable
  708.    wt: 1:   2 What is a Variable
  709.    wt: 1:   About Folder Contents
  710.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  711.    wt: 1:   4 Counting with Trees Product Rule Take I
  712.    wt: 1:   3 Counting with Tables and Trees II
  713.    wt: 1:   2 Counting with Tables and Trees I
  714.    wt: 1:   3 Multiplying Units and Numbers
  715.    wt: 1:   20 Dividing Fractions the Why
  716.    wt: 1:   19 Dividing Fractions How TO
  717.    wt: 1:   11 Simplification an Algebraic View
  718.    wt: 1:   6 Multiplication Algebraically Take II
  719.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  720.    wt: 1:   D Remainders Modulo 11 Pair Rule
  721.    wt: 1:   6 Multiplication by Natural Numbers
  722.    wt: 1:   5 Zero Movement and Additive Inverses
  723.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  724.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  725.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  726.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  727.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  728.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  729.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  730.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  731.    wt: 1:   18 video Count Factors given Prime Factorization
  732.    wt: 1:   17 Identify and Count Factors using Primes
  733.    wt: 1:   16 video Factors of 980 using prime
  734.    wt: 1:   15 video Factors of 20 using Prime Factorization
  735.    wt: 1:   7 Calculator Usage Notes and Cautions
  736.    wt: 1:   1 Divsion Physical Examples
  737.    wt: 1:   C Counting Areas with Powers of Ten
  738.    wt: 1:   4 Two and Three Digit Multipliers
  739.    wt: 1:   3 More One Digit Multipliers
  740.    wt: 1:   2 One Digit Multipliers
  741.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  742.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  743.    wt: 1:   1 Why 3 times 5 gives 15
  744.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  745.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  746.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  747.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  748.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  749.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  750.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  751.    wt: 1:   Quick history of numbers and algebra
  752.    wt: 1:   016 Numbering Occidental Calendar Days
  753.    wt: 1:   015 School and work day counting tables
  754.    wt: 1:   014 Counting Days with Calendars
  755.    wt: 1:   013 Travel Time Tables
  756.    wt: 1:   8 Addition of Time Intervals via subtotaling
  757.    wt: 1:   6 How long is a million seconds
  758.    wt: 1:   3 Units and Lengths of Time
  759.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  760.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  761.    wt: 1:   Example 4 with x function of y
  762.    wt: 1:   A Related Material in Volume 3
  763.    wt: 1:   5 Area Under Curve Exercise
  764.    wt: 1:   A Related lessons in Volume 3
  765.    wt: 1:   4 Second derivative test exercise example
  766.    wt: 1:   3 Second derivative test
  767.    wt: 1:   2 Second derivative test prequel
  768.    wt: 1:   A Chain Rule Real Player video examples
  769.    wt: 1:   38 Formulas and derivatives for powers and roots
  770.    wt: 1:   36 Cube root derivative animated
  771.    wt: 1:   33 Chain Rule Real Player video examples
  772.    wt: 1:   30Chain Rule A Proof
  773.    wt: 1:   28 Chain Rule Preparation for a Proof
  774.    wt: 1:   25 Chain Rule Animated Examples Continued
  775.    wt: 1:   24 Chain Rule Animated Examples
  776.    wt: 1:   22 Chain Rule for polynomials
  777.    wt: 1:   21 Chain Rule for powers
  778.    wt: 1:   20 Chain Rule for Pulley Systems
  779.    wt: 1:   18 Chain Rule Introduction
  780.    wt: 1:   17 Derivatives of quotients of sine and cosine
  781.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  782.    wt: 1:   15 sine and cosine derivatives 3rd step
  783.    wt: 1:   14 sine and cosine derivatives 2nd step
  784.    wt: 1:   12 Quotient rule examples
  785.    wt: 1:   11 Quotient rule
  786.    wt: 1:   9 Reciprocal rule
  787.    wt: 1:   8 Differentiation of polynomials
  788.    wt: 1:   7 Animated Differentiation Examples
  789.    wt: 1:   6 Power rule from product rule
  790.    wt: 1:   5 Product Rule
  791.    wt: 1:   4 Sum Rule
  792.    wt: 1:   3 Motivation for Limit Definition Take 2
  793.    wt: 1:   2 Motivation for Limit Definition Take 1
  794.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  795.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  796.    wt: 1:   11 Limits at infinity Three Examples
  797.    wt: 1:   10 Three one sided limits with infinite values
  798.    wt: 1:   9 Limits Continuity and Composition
  799.    wt: 1:   8 Four Animated Examples
  800.    wt: 1:   7 Evaluation by immediate or delayed substitution
  801.    wt: 1:   6 Continuity at a point
  802.    wt: 1:   5 Jumps and absence of unlimited error control
  803.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  804.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  805.    wt: 1:   G.5 Motions With Bounded Velocities
  806.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  807.    wt: 1:   G.3 Constant Difference Theorem Proof
  808.    wt: 1:   F.5a Equicontinuity Theorems
  809.    wt: 1:   F.4 Finite Covering Theorem
  810.    wt: 1:   F.2 Closed Range Theorem
  811.    wt: 1:   F.1 What Functions are Continuous
  812.    wt: 1:   E2 Algebraic Properties of Limits
  813.    wt: 1:   C Triangle Inequalities
  814.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  815.    wt: 1:   PostScript For and Against Decimal Perspectives
  816.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  817.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  818.    wt: 1:   Chapter 23 Links To Trigonometry
  819.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  820.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  821.    wt: 1:   Chapter 18. Slopes Areas Integration
  822.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  823.    wt: 1:   Chapter 5. Slope Sign Tests
  824.    wt: 1:   Chapter 4. More Slope Sign Analysis
  825.    wt: 1:   Chapter 3. Slope Sign Analysis
  826.    wt: 1:   Postscript More on Better Performance
  827.    wt: 1:   Postscript For Better Performance
  828.    wt: 1:   Appendix E. How To Study Mathematics and Why
  829.    wt: 1:   Appendix D. What to do in School and Why
  830.    wt: 1:   Appendix C. How to Read
  831.    wt: 1:   Appendix B. How To Learn
  832.    wt: 1:   Chapter 31 Direct and Indirect Reason
  833.    wt: 1:   Chapter 30 Truth Tables
  834.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  835.    wt: 1:   Chapter 28 Occurrence Tables
  836.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  837.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  838.    wt: 1:   Chapter 25. Mathematical Induction Examples
  839.    wt: 1:   Chapter 23. Notation For Sums
  840.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  841.    wt: 1:   Chapter 11. Why Shorthand
  842.    wt: 1:   Postscript What is a Variable
  843.    wt: 1:   Chapter 3 Chains of Reason
  844.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  845.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  846.    wt: 1:   Foreword
  847.    wt: 1:   Postscript A Three Remarks
  848.    wt: 1:   Chapter 7 Two Treatments of Geometry
  849.    wt: 1:   Chapter 3 Algebra Difficulties
  850.    wt: 1:   Chapter 2 For and Against Mathematics
  851.    wt: 1:   Postscript B More on Story Telling and Reason
  852.    wt: 1:   Postscript A Story Telling
  853.    wt: 1:   Chapter 18 Sense and Knowledge
  854.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  855.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  856.    wt: 1:   Chapter 7 Longer Chains of Reason
  857.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  858.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  859.    wt: 1:   O On Learning Mathematics and Science
  860.    wt: 1:   N Mathematics Prepare for College Studies
  861.    wt: 1:   M Words to extend arithmetic
  862.    wt: 1:   N Improving Marks on Tests and Finals
  863.    wt: 1:   J. More on written work and showing skill
  864.    wt: 1:   H more Routine to non routine problem solving
  865.    wt: 1:   C. Domino effect of being careful
  866.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  867.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  868.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  869.    wt: 1:   Chapter 3 Algebra Starter Lessons
  870.    wt: 1:   7 Games and Activities for Instruction
  871.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  872.    wt: 1:   More Algebra and Slope based Calculus Preview
  873.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  874.    wt: 1:   Which Way To Go
  875.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  876.    wt: 11:   13 Velocity Vectors in Physics
  877.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
  878.    wt: 10:   16 cotangent function Definition Graph and Inverse
  879.    wt: 10:   13 cosecant function Definition Graph and Inverse
  880.    wt: 10:   A Global Time and Navigation
  881.    wt: 10:   3 Navigation with Arrows or Vectors
  882.    wt: 10:   4 graphing y=Asin(x c)
  883.    wt: 10:   3 graphing y=f(x c) plus K
  884.    wt: 10:   1 graphing y=f(x a)
  885.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  886.    wt: 10:   12 Straight Lines Graphing mx plus b
  887.    wt: 10:   11 Straight Lines Graphing y=mx
  888.    wt: 10:   10 Straight Lines through Origin Equations More
  889.    wt: 10:   9 Straight Lines through Origin Equations
  890.    wt: 10:   6 Tangent Function Inclination Angle Take 2
  891.    wt: 10:   5 Tangent Function Graph
  892.    wt: 10:   3 Straight Lines Slope as Tangent of Inclination Angle
  893.    wt: 10:   13 Graph of tangent function many periods
  894.    wt: 10:   13 Angle Side Angle Failure
  895.    wt: 10:   6 Figuring with Maps Not to Scale
  896.    wt: 10:   4 Angles on Maps Plans drawn to scale
  897.    wt: 10:   3 Lengths and Areas on Maps and Plans
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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