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

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

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

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

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

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

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

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

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755 matches:

  1.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  2.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  4.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  5.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  6.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  7.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  8.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  9.    wt: 4:   teaching tutoring algebraic reason
  10.    wt: 4:   Different Kinds of Reasoning in maths
  11.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  12.    wt: 4:   20 Interchanging coordinates a reflection
  13.    wt: 4:   16 Increasing or decreasing on intervals
  14.    wt: 4:   7 arcsin left inverse of sine Definition
  15.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  16.    wt: 4:   6 Intersection of lines by solving linear systems
  17.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  18.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  19.    wt: 4:   14 Adding and Subtracting with Like Denominators
  20.    wt: 4:   15 video Factors of 20 using Prime Factorization
  21.    wt: 4:   2 Indefinite Integrals Exercises
  22.    wt: 4:   26 Chain Rule Recognising outer inner functions
  23.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  24.    wt: 4:   Chapter 24 Direct and Indirect Reason
  25.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  26.    wt: 4:   H more Routine to non routine problem solving
  27.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  28.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  29.    wt: 3:   J LAMP Introduction Extrinsic Origins
  30.    wt: 3:   grouping students according to ability
  31.    wt: 3:   three kinds of reason in mathematics
  32.    wt: 3:   How to be a better instructor
  33.    wt: 3:   fairness and inductive principles for instruction
  34.    wt: 3:   3 Like resistors in parallel
  35.    wt: 3:   2 Unlike resistors in parallel01
  36.    wt: 3:   1 Like resistors in series
  37.    wt: 3:   F Unlike Resistors in Series
  38.    wt: 3:   Home Tutoring and Home Schooling
  39.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  40.    wt: 3:   13 From one to one to many to one
  41.    wt: 3:   3 quadratics factoring by inspection
  42.    wt: 3:   8 Notes for instructors or tutors
  43.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  44.    wt: 3:   4 Polynomials Long division linear divisor
  45.    wt: 3:   8 arcsin left inverse of sine Graph
  46.    wt: 3:   5 Swapping Coordinates is a reflection
  47.    wt: 3:   3 Left Inverse of cosine arccos definition
  48.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  49.    wt: 3:   Straight Lines Instersection Solving Equations
  50.    wt: 3:   7 Tangent Function is odd on this domain
  51.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  52.    wt: 3:   28 Expressing products of sines cosines as sums
  53.    wt: 3:   20 sine and cosine Double Angle Formulas
  54.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  55.    wt: 3:   17D cis formulas for sine cosines and tangent
  56.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  57.    wt: 3:   12 cis formulas for sine cosines and tangent
  58.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  59.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  60.    wt: 3:   What is and is not here
  61.    wt: 3:   8 Distance Between Points on a Line
  62.    wt: 3:   10 Dropping a perpendicular to line
  63.    wt: 3:   19 Dividing Fractions How TO
  64.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  65.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  66.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  67.    wt: 3:   13 video Factors of 24 using prime
  68.    wt: 3:   9 video Prime Factorization upto 19 squared
  69.    wt: 3:   8 video Prime Factorization upto 19
  70.    wt: 3:   7 Long Divison Mistake Catching
  71.    wt: 3:   3 Division Single Digit Divisor Example
  72.    wt: 3:   2 Division with Single Digit Divisors
  73.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  74.    wt: 3:   7 Adding decimal fractions using decimal point
  75.    wt: 3:   012 Division of Time Intervals by Time Intervals
  76.    wt: 3:   8 Addition of Time Intervals via subtotaling
  77.    wt: 3:   4 Definite Integrals Evaluation Exercises
  78.    wt: 3:   1 Chain Rule in Reverse Integration Method
  79.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  80.    wt: 3:   19 Chain Rule for linear functions
  81.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  82.    wt: 3:   Chapter 23 Links To Trigonometry
  83.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  84.    wt: 3:   Appendix D. What to do in School and Why
  85.    wt: 3:   Chapter 31 Direct and Indirect Reason
  86.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  87.    wt: 3:   Chapter 16. Painless Theorem Proving
  88.    wt: 3:   Chapter 15. Solving Linear Equations
  89.    wt: 3:   Chapter 10 Describing and Changing Calculations
  90.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  91.    wt: 3:   Chapter 4 Longer Chains of Reason
  92.    wt: 3:   Chapter 3 Chains of Reason
  93.    wt: 3:   Postscript C Consistency as a Tool for Reason
  94.    wt: 3:   Postscript B More on Story Telling and Reason
  95.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  96.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  97.    wt: 3:   Chapter 7 Longer Chains of Reason
  98.    wt: 3:   Chapter 6 Chains of Reason
  99.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  100.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  101.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  102.    wt: 3:   Helping the Blind in Logic and Mathematics
  103.    wt: 3:   Systematic Algebra Skill Development Missing Links
  104.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  105.    wt: 2:   H LAMP Introduction Instructional Concepts
  106.    wt: 2:   G LAMP Introduction Problem Solving Skills
  107.    wt: 2:   F LAMP Introduction Prerequisites
  108.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  109.    wt: 2:   Ramblings Extrinsic numbers theory
  110.    wt: 2:   Ramblings Introduction Algebra Essay
  111.    wt: 2:   Skills Chapter 0 Introduction
  112.    wt: 2:   9 combinatorics probability sets
  113.    wt: 2:   What is POMME
  114.    wt: 2:   links Education Resources online
  115.    wt: 2:   Education Reform Inconsistencies
  116.    wt: 2:   What to Tell Students
  117.    wt: 2:   04 25 when to stop or suspend mathemat
  118.    wt: 2:   Operational Viewpoint to Value
  119.    wt: 2:   mathematics instruction in general
  120.    wt: 2:   cultivating intelligence
  121.    wt: 2:   Prequel In For A Penny In For A Pound
  122.    wt: 2:   words for mathematics instructor
  123.    wt: 2:   chapitre 07 01 principle D induction mathematique
  124.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  125.    wt: 2:   chapitre 06 00 Chaines de la raison
  126.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  127.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  128.    wt: 2:   2 Reading and Writing Skills
  129.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  130.    wt: 2:   26 Function definitions done and coming
  131.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  132.    wt: 2:   19 Horizontal line rule and method
  133.    wt: 2:   12 Function Domain Recognition Exercises
  134.    wt: 2:   7 Functions with finite domains
  135.    wt: 2:   3 Formula or function graphing exercise
  136.    wt: 2:   Introduction Reading Guide
  137.    wt: 2:   2 quadratics graphing in general
  138.    wt: 2:   1 quadratics graphing exercises
  139.    wt: 2:   5 Natural Logarithm Calculator Exercises
  140.    wt: 2:   1 Calculator Starter Exercises
  141.    wt: 2:   16 cotangent function Definition Graph and Inverse
  142.    wt: 2:   15 cosecant function Definition Graph and Inverse
  143.    wt: 2:   14 secant function Definition Graph and Inverse
  144.    wt: 2:   13 cosecant function Definition Graph and Inverse
  145.    wt: 2:   10 arctan left inverse of tangent Definition
  146.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  147.    wt: 2:   13 Velocity Vectors in Physics
  148.    wt: 2:   9 Head to Tail Coordinate View
  149.    wt: 2:   6 Vectors with Coordinates
  150.    wt: 2:   4 graphing y=Asin(x c)
  151.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  152.    wt: 2:   Parallel Lines and Interior Angles
  153.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  154.    wt: 2:   Straight Lines ASA Intersection Study More
  155.    wt: 2:   Straight Lines ASA Intersection Study
  156.    wt: 2:   Straight Lines Intersection of
  157.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  158.    wt: 2:   C Straight Lines Slope from Coordinates
  159.    wt: 2:   B Straight Line Slope Scaling Properties More
  160.    wt: 2:   A Straight Line Slope Scaling Properties
  161.    wt: 2:   12 Straight Lines Graphing mx plus b
  162.    wt: 2:   11 Straight Lines Graphing y=mx
  163.    wt: 2:   10 Straight Lines through Origin Equations More
  164.    wt: 2:   9 Straight Lines through Origin Equations
  165.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  166.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  167.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  168.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  169.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  170.    wt: 2:   27 Logarithmic use of products of sines and cosines
  171.    wt: 2:   26 Formulas for products of sines and cosines
  172.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  173.    wt: 2:   21 sine and cosine Half Angle Formulas
  174.    wt: 2:   18 sum of sinusoidal waves as a single wave
  175.    wt: 2:   17C sine and cosine double triple angle formulas
  176.    wt: 2:   15 sine cosine Complementary Angle Relations
  177.    wt: 2:   14 cosine even and sine and tangent are odd
  178.    wt: 2:   11 tangent function undefined when terminal side vertical
  179.    wt: 2:   10 Graphs of sines and cosines many periods
  180.    wt: 2:   9 Graphs of sine and cosine over one period
  181.    wt: 2:   7 period of sine and cosine
  182.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  183.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  184.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  185.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  186.    wt: 2:   11 sine and cosine double triple angle formulas
  187.    wt: 2:   3 Trigonometric Ratios sine and cosine
  188.    wt: 2:   11 Triangle Similarity Missing Side Problem
  189.    wt: 2:   4 Similarity Definition with Coordinate
  190.    wt: 2:   7 Exercises to test skill and concept mastery
  191.    wt: 2:   2 point slope equation for a line
  192.    wt: 2:   4 Polar Coordinates to and from
  193.    wt: 2:   17 Right Bisectors of Triangle Sides
  194.    wt: 2:   9 Construction of a right bisector
  195.    wt: 2:   6 Figuring with Maps Not to Scale
  196.    wt: 2:   musings do not puiblish real numbers
  197.    wt: 2:   21 Addition of Multiples of a Single Vector
  198.    wt: 2:   19 Signed Multiples of Vectors
  199.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  200.    wt: 2:   15 Head to Tails in place Addition Associative
  201.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  202.    wt: 2:   13 Arrows and Vectors in a Plane
  203.    wt: 2:   12 Real Numbers Line Signed Coordinates
  204.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  205.    wt: 2:   9 Division with Digits after Decimal Point
  206.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  207.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  208.    wt: 2:   4 Location of Point in Decimal Addition
  209.    wt: 2:   3 Location of Point in Decimal Multiplication
  210.    wt: 2:   2 Counting Digits in Decimal Multiplication
  211.    wt: 2:   3 Multiplicative Counting Skills Principles
  212.    wt: 2:   2 Combing Counts Addition Skills and Principles
  213.    wt: 2:   1 The Counting Origins of Numbers
  214.    wt: 2:   1 What is Proportionality
  215.    wt: 2:   9 Coordinates for Regions in Space
  216.    wt: 2:   7 Real Numbers as Line Cordinates
  217.    wt: 2:   4 Solving a triangular system exercise
  218.    wt: 2:   13 Naming Identifying Formulas with Words
  219.    wt: 2:   7 Compound Interest Formula Introduction
  220.    wt: 2:   1 Written work formats for developing and showing skill
  221.    wt: 2:   9 Sets in Probability and Statistics
  222.    wt: 2:   6 Three Notions of What is a Variable
  223.    wt: 2:   3 Adding Words To Arithmetic
  224.    wt: 2:   2 What is a Variable
  225.    wt: 2:   2 Least Common Multiple LCM intro via list method
  226.    wt: 2:   1 Counting and Counting Methods I
  227.    wt: 2:   4 signed coordinates for regions in space
  228.    wt: 2:   7 Converting or Changing Units
  229.    wt: 2:   20 Dividing Fractions the Why
  230.    wt: 2:   1 What is a fraction Take II
  231.    wt: 2:   1 What is a fraction
  232.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  233.    wt: 2:   B Integer Long Division Multiple Choices
  234.    wt: 2:   12 Adding Integers More Examples
  235.    wt: 2:   11 Adding Integers Formulas and Examples
  236.    wt: 2:   9 Multiplying Integers
  237.    wt: 2:   1 Integers as Coordinates
  238.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  239.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  240.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  241.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  242.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  243.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  244.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  245.    wt: 2:   20 Uniqueness of Prime Factorization
  246.    wt: 2:   19 video Prime Factorization Unique
  247.    wt: 2:   18 video Count Factors given Prime Factorization
  248.    wt: 2:   17 Identify and Count Factors using Primes
  249.    wt: 2:   16 video Factors of 980 using prime
  250.    wt: 2:   14 video Factors of 24 Take II
  251.    wt: 2:   10 video Prime Factorization upto 23 squared
  252.    wt: 2:   4 video Prime Factorization Introduction
  253.    wt: 2:   11 Another Single Digit Divisor Example
  254.    wt: 2:   8 Correcting the Mistake
  255.    wt: 2:   5 Long Division Include Zeroes or not
  256.    wt: 2:   8 What skills and work habits to require
  257.    wt: 2:   6. Counting and adding units and mixed units
  258.    wt: 2:   1. Explaining Addition Table
  259.    wt: 2:   Quick history of numbers and algebra
  260.    wt: 2:   011 Division of Time Intervals By Numbers
  261.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  262.    wt: 2:   4 Mixing and Changing Units of Time
  263.    wt: 2:   1 Intro of Kids To Time Date Skills
  264.    wt: 2:   A Related Material in Volume 3
  265.    wt: 2:   3 Two Chain Rule Method Exercises
  266.    wt: 2:   A Related lessons in Volume 3
  267.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  268.    wt: 2:   29 Chain Rule Optional Reading
  269.    wt: 2:   25 Chain Rule Animated Examples Continued
  270.    wt: 2:   24 Chain Rule Animated Examples
  271.    wt: 2:   23 Chain Rule in general
  272.    wt: 2:   20 Chain Rule for Pulley Systems
  273.    wt: 2:   18 Chain Rule Introduction
  274.    wt: 2:   17 Derivatives of quotients of sine and cosine
  275.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  276.    wt: 2:   15 sine and cosine derivatives 3rd step
  277.    wt: 2:   14 sine and cosine derivatives 2nd step
  278.    wt: 2:   13 sine and cosine derivatives 1st step
  279.    wt: 2:   11 Limits at infinity Three Examples
  280.    wt: 2:   10 Three one sided limits with infinite values
  281.    wt: 2:   6 Continuity at a point
  282.    wt: 2:   3 Decimal insights for limits continuity convergence
  283.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  284.    wt: 2:   F.4 Finite Covering Theorem
  285.    wt: 2:   F.1 What Functions are Continuous
  286.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  287.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  288.    wt: 2:   Chapter 18. Slopes Areas Integration
  289.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  290.    wt: 2:   Chapter 11. Graphing Slope versus Position
  291.    wt: 2:   Chapter 9 About First Courses in Calculus
  292.    wt: 2:   Chapter 8. Slope Interpretation
  293.    wt: 2:   Chapter 4. More Slope Sign Analysis
  294.    wt: 2:   Chapter 3. Slope Sign Analysis
  295.    wt: 2:   Chapter 1.Introduction
  296.    wt: 2:   Chapter 25. Mathematical Induction Examples
  297.    wt: 2:   Chapter 21. Third Reading Guide
  298.    wt: 2:   Chapter 20. Degrees and Radians
  299.    wt: 2:   Chapter 19. Functions and Sets
  300.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  301.    wt: 2:   Chapter 13. Second Reading Guide
  302.    wt: 2:   Postscript What is a Variable
  303.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  304.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  305.    wt: 2:   Annotated Links to Material Elsehwere
  306.    wt: 2:   Chapter 11 Elementary Instruction
  307.    wt: 2:   Chapter 8 Modern Instruction
  308.    wt: 2:   Chapter 2 For and Against Mathematics
  309.    wt: 2:   Chapter 1 Introduction
  310.    wt: 2:   Postscript A Story Telling
  311.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  312.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  313.    wt: 2:   Chapter 11 Accidental Patterns
  314.    wt: 2:   Chapter 1 Introduction
  315.    wt: 2:   S Adding words to algebra
  316.    wt: 2:   N Improving Marks on Tests and Finals
  317.    wt: 2:   G. Written work formats for developing and showing skill
  318.    wt: 2:   C. Domino effect of being careful
  319.    wt: 2:   A. Skill has to be seen to believed
  320.    wt: 2:   Chapter 8 Skipped Topics and Why
  321.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  322.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  323.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  324.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  325.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  326.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  327.    wt: 1:   K LAMP Musings Science Education
  328.    wt: 1:   I LAMP Introduction Study Habits
  329.    wt: 1:   E LAMP Introduction Modern Mathematics
  330.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  331.    wt: 1:   A Introduction Objectives
  332.    wt: 1:   Skills Chapter 5 Calculus
  333.    wt: 1:   Skills Chapter 4 Logic
  334.    wt: 1:   Skills Chapter 3 Algebra
  335.    wt: 1:   Skills Chapter 2 Geometry
  336.    wt: 1:   Skills Chapter 1 Arithmetic
  337.    wt: 1:   10 statistics
  338.    wt: 1:   7 logic review and decimals an odd combination
  339.    wt: 1:   which way to go
  340.    wt: 1:   three goals to set for students
  341.    wt: 1:   permissions for teachers
  342.    wt: 1:   Applied Maths Program14092009 POMME variant
  343.    wt: 1:   site origins
  344.    wt: 1:   learning takes time
  345.    wt: 1:   what should be learnt and When
  346.    wt: 1:   mathematics in context
  347.    wt: 1:   Postscript 2007 01 10
  348.    wt: 1:   Maps Plans Drawings
  349.    wt: 1:   teaching tips
  350.    wt: 1:   Lessening Algebra Difficulties
  351.    wt: 1:   02 20 mathematics education references
  352.    wt: 1:   formal or informal peer review
  353.    wt: 1:   Education in mathematics science and technology
  354.    wt: 1:   Four ways to improve education reform
  355.    wt: 1:   chapitre 12 00 les iles et division
  356.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  357.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  358.    wt: 1:   chapitre 01 00 Introduction
  359.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  360.    wt: 1:   Trois Notions qui menent a algebre
  361.    wt: 1:   deux definitions pour variable
  362.    wt: 1:   2 Conductance Resistance Duality02
  363.    wt: 1:   1 Conductance Resistance Duality01
  364.    wt: 1:   F Wire Resistance Calculation04
  365.    wt: 1:   E Wire Resistance Calculation03
  366.    wt: 1:   D Wire Resistance Calculation02
  367.    wt: 1:   C Wire Resistance Calculation01
  368.    wt: 1:   B Wire Resistance Qualitative02
  369.    wt: 1:   A Wire Resistance Qualitative01
  370.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  371.    wt: 1:   24 Standards For Skill Develoment Take II
  372.    wt: 1:   24 Standards For Skill Develoment
  373.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  374.    wt: 1:   15 Counting For Parents
  375.    wt: 1:   10 Ends values for work study instruction
  376.    wt: 1:   9 Streaming by Student Cooperation
  377.    wt: 1:   4 Learning Takes Time and Effort
  378.    wt: 1:   3 Preparing for Science Studies
  379.    wt: 1:   1 Speaking Skills
  380.    wt: 1:   Ages 12 to 14 Skills with take home value
  381.    wt: 1:   Ages 12 to 14 Geometry
  382.    wt: 1:   Ages 12 to 14 Arithmetic
  383.    wt: 1:   Ages 10 to 12 Geometry
  384.    wt: 1:   Ages 10 to 12 Arithmetic
  385.    wt: 1:   Ages 9 to 10
  386.    wt: 1:   Ages 8 to 9
  387.    wt: 1:   Ages 7 to 8
  388.    wt: 1:   Ages 6 to 7
  389.    wt: 1:   Ages 4 plus to 5 plus
  390.    wt: 1:   Ages 3 plus to 4 plus
  391.    wt: 1:   sign monoticity analysis example 4
  392.    wt: 1:   sign monoticity analysis example 3
  393.    wt: 1:   sign monoticity analysis example 2
  394.    wt: 1:   sign monoticity analysis example 1
  395.    wt: 1:   23 Inverse Functions
  396.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  397.    wt: 1:   18 Vertical Line Rule and Method
  398.    wt: 1:   17 Function maxima minima and their location
  399.    wt: 1:   15 Sign analysis of functions
  400.    wt: 1:   14 Surjections Injections Bijections
  401.    wt: 1:   11 Function Domain Range Source and Targets
  402.    wt: 1:   10 Interval Notation
  403.    wt: 1:   9 Set theory term relation possible origins
  404.    wt: 1:   6 Set Existence Formation and Notation
  405.    wt: 1:   4 Function notation in and beyond mathematics
  406.    wt: 1:   1 Geometric Introduction of Function Notation
  407.    wt: 1:   10 quadratic exercises
  408.    wt: 1:   5 quadratics completing the square
  409.    wt: 1:   Quadratics in 10 steps
  410.    wt: 1:   11 Growth and Decay in Biology
  411.    wt: 1:   7 Links Lessons Elsewhere
  412.    wt: 1:   1 Polynomials Distributive Law
  413.    wt: 1:   Rewriting algebraic substitution as function substitutions
  414.    wt: 1:   11 arctan left inverse of tangent Graph
  415.    wt: 1:   9 motivation for name arcsin
  416.    wt: 1:   2 cosine function more properties
  417.    wt: 1:   1 cosine function properties
  418.    wt: 1:   9 Summary Degrees to Radians and back
  419.    wt: 1:   7 Radian Measures in special Triangles
  420.    wt: 1:   6 Radian Measure to Degrees
  421.    wt: 1:   5 Degrees to Radian Measure
  422.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  423.    wt: 1:   1 Degrees and Radians Introduction
  424.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  425.    wt: 1:   12 From Applied To Pure Mathematics
  426.    wt: 1:   8 Parallel Vectors
  427.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  428.    wt: 1:   5 Head To Tail Arrow Addition
  429.    wt: 1:   3 Navigation with Arrows or Vectors
  430.    wt: 1:   2 Signed Coordinates
  431.    wt: 1:   1 Unsigned Coordinates
  432.    wt: 1:   Vector and Complex Number Applet
  433.    wt: 1:   3 graphing y=f(x c) plus K
  434.    wt: 1:   1 graphing y=f(x a)
  435.    wt: 1:   Parallel Lines and Parallel Transversals
  436.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  437.    wt: 1:   Triangle Angles Sum To 180 Degrees
  438.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  439.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  440.    wt: 1:   14 Straight Lines Equations General Case
  441.    wt: 1:   8 Straight Lines Equation for vertical
  442.    wt: 1:   1 Straight Lines Slope Concept
  443.    wt: 1:   24 tangent Angle Difference Formula
  444.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  445.    wt: 1:   17F Law of cosines
  446.    wt: 1:   17A The complex number valued trig function cis
  447.    wt: 1:   1 Unit Points Reflections Rotations
  448.    wt: 1:   20 N th Roots of Complex Numbers
  449.    wt: 1:   19 N th Roots of Unity
  450.    wt: 1:   16 References and Originality Question
  451.    wt: 1:   14 Law of cosines
  452.    wt: 1:   9 The complex number valued trig function cis
  453.    wt: 1:   7 Second Way to Calculate Products
  454.    wt: 1:   5 An Easy Proof of the Distributive Law
  455.    wt: 1:   1 Rectangular Polar Coordinates Review
  456.    wt: 1:   8 Triangles Cascade Problem Solving
  457.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  458.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  459.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  460.    wt: 1:   6 Geometric Diagrams in Class
  461.    wt: 1:   3 Similarity by Design with coordinates
  462.    wt: 1:   Four Simple Exercises
  463.    wt: 1:   12 Links Lessons elsewhere
  464.    wt: 1:   10 Midpoint of [a b] and [b a]
  465.    wt: 1:   8 Mid Point Formula
  466.    wt: 1:   4 Equations for lines three forms
  467.    wt: 1:   3 Slope product for perpendicular lines
  468.    wt: 1:   1 Numerical view of lines and their equations
  469.    wt: 1:   13 Pythagorean spatial distance formulas
  470.    wt: 1:   12 Spatial Coordinates
  471.    wt: 1:   11 Triangle Inequality
  472.    wt: 1:   10 Pythagorean plane distance formula
  473.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  474.    wt: 1:   3 Rectangular Coordinates Review
  475.    wt: 1:   2 Cartesian Coordinates with signs
  476.    wt: 1:   1 Cartesian Coordinates sans signs
  477.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  478.    wt: 1:   PS H Distributive Law For Complex Numbers
  479.    wt: 1:   PS G Rotation Distributes over Addition
  480.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  481.    wt: 1:   PS E Multiplication with Polar Coordinates
  482.    wt: 1:   PS D Addition with Cartesian Coordinates
  483.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  484.    wt: 1:   19 Right Triangle Similarity
  485.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  486.    wt: 1:   14 Parallel Lines Postulate
  487.    wt: 1:   8 Isoceles Triangles
  488.    wt: 1:   6 Ruler and compass Angle Bisection
  489.    wt: 1:   3 Isometry of Triangles Congruence
  490.    wt: 1:   1 Initial Concepts and Terms
  491.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  492.    wt: 1:   4 Angles on Maps Plans drawn to scale
  493.    wt: 1:   2 Measuring Area Directly
  494.    wt: 1:   A Modular and Remainder Arithmetic
  495.    wt: 1:   26 More Less Greater Than Comparison
  496.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  497.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  498.    wt: 1:   23 Distributive Law Two Derivations
  499.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  500.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  501.    wt: 1:   8 Division and Mulplication of Compound Fractions
  502.    wt: 1:   1 Fractions with Finite Decimal Expansions
  503.    wt: 1:   E Long Division Methods more
  504.    wt: 1:   D Long Division Methods
  505.    wt: 1:   B Decimal Comparison and Subtraction
  506.    wt: 1:   8 Column Multiplication Methods in General
  507.    wt: 1:   5 Distributive Law for Whole Numbers
  508.    wt: 1:   4 Commutative Law Groups Counting Form
  509.    wt: 1:   5 Areas of Rectangles Revisited
  510.    wt: 1:   3 Inequalities Algebraically
  511.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  512.    wt: 1:   5 Proportionality in Equivalent Fractions
  513.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  514.    wt: 1:   6 Compound Interest Forward and Backwards
  515.    wt: 1:   3 Linear Equation Literal Solution More
  516.    wt: 1:   2 Linear Equation Literal Solution
  517.    wt: 1:   1 Changing Calculations
  518.    wt: 1:   5 Equality in Algebra
  519.    wt: 1:   4 Subtraction and Division Axioms
  520.    wt: 1:   5 Greater More Less Than Signs in General
  521.    wt: 1:   4 Comparison of Negative Numbers
  522.    wt: 1:   1 Real Numbers Comparison
  523.    wt: 1:   16 Real Numbers Comparison
  524.    wt: 1:   15 Real Number Division
  525.    wt: 1:   12 Real Number Additive Inverses or Negatives
  526.    wt: 1:   8 Coordinates for Maps and Planes
  527.    wt: 1:   2 Integers
  528.    wt: 1:   5 Independent versus Dependent Variables
  529.    wt: 1:   4 Changing Letters
  530.    wt: 1:   More Exercises
  531.    wt: 1:   Simple Exercises
  532.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  533.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  534.    wt: 1:   2 GE II Comparison
  535.    wt: 1:   3 Solving triangular system example
  536.    wt: 1:   2 Essentially one exercises three with solution
  537.    wt: 1:   5 Algebraic Solutions Introduction
  538.    wt: 1:   Using Letters for Physical Quantities
  539.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  540.    wt: 1:   11 Volume of Sphere
  541.    wt: 1:   10 Volume of Pyramid
  542.    wt: 1:   9 Volume of Cone
  543.    wt: 1:   8 Compound Interest Formula Evaluation
  544.    wt: 1:   5 Box Volume Formula Example
  545.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  546.    wt: 1:   3 Counting with Sets etc
  547.    wt: 1:   1 Finite Sets
  548.    wt: 1:   5 Talking about Numbers and Quantities
  549.    wt: 1:   4 A Brief Story of numbers and algebra
  550.    wt: 1:   4 Greater More Less Than Signs in General
  551.    wt: 1:   3 Comparison of Negative Numbers
  552.    wt: 1:   1 Squares and Square Roots Introduction
  553.    wt: 1:   13 GCD from given Prime Factorization
  554.    wt: 1:   7 GCD and LCM from prime factorization
  555.    wt: 1:   5 Common Divisors 60 45 via Prime
  556.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  557.    wt: 1:   1 Least Common Multiples LCM Introduction
  558.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  559.    wt: 1:   4 Counting with Trees Product Rule Take I
  560.    wt: 1:   3 Counting with Tables and Trees II
  561.    wt: 1:   2 Counting with Tables and Trees I
  562.    wt: 1:   11 What are real lengths and numbers
  563.    wt: 1:   10 dividing signed numbers
  564.    wt: 1:   9 subtracting signed numbers
  565.    wt: 1:   8 multiplying signed numbers
  566.    wt: 1:   7 negative and additive inverse
  567.    wt: 1:   6 adding signed numbers
  568.    wt: 1:   3 signed coordinates for maps and planes
  569.    wt: 1:   2 signed and unsigned numbers as coordinates
  570.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  571.    wt: 1:   3 Multiplying Units and Numbers
  572.    wt: 1:   21 Working With Signs
  573.    wt: 1:   18 Efficient Ways to Multiply
  574.    wt: 1:   17 Efficient Ways to Add and Subtract
  575.    wt: 1:   16 Addition Subtraction Comparision Compared
  576.    wt: 1:   13 Fraction Comparison Algebraic View
  577.    wt: 1:   12 Fraction Comparison
  578.    wt: 1:   D Remainders Modulo 11 Pair Rule
  579.    wt: 1:   13 Subtraction with Additive Inverse
  580.    wt: 1:   10 Integer Multiplication Formulas
  581.    wt: 1:   8 Multiplication by Signed Numbers Integers
  582.    wt: 1:   5 Zero Movement and Additive Inverses
  583.    wt: 1:   4 Adding Movements wiht opposite directions
  584.    wt: 1:   3 Adding Movements with same direction
  585.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  586.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  587.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  588.    wt: 1:   26 Divisibility by 2 3 5 Example
  589.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  590.    wt: 1:   23 Remainder Arithmetic Modulo 2
  591.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  592.    wt: 1:   21 Remainder Arithmetic Modulo 3
  593.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  594.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  595.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  596.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  597.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  598.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  599.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  600.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  601.    wt: 1:   5 Remainder Arithmetic Modulo 5
  602.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  603.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  604.    wt: 1:   1 Remainder Arithmetic Modulo 10
  605.    wt: 1:   12 LCD GCD and LCM using Primes
  606.    wt: 1:   7 Calculator Usage Notes and Cautions
  607.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  608.    wt: 1:   5 Prime Factorization and a Square Rule
  609.    wt: 1:   1 video how Products are bigger than factor
  610.    wt: 1:   Long Division Backwards more
  611.    wt: 1:   Long Division Backward
  612.    wt: 1:   Division with Counts and Length
  613.    wt: 1:   Long Division forwards and backwards Example 3
  614.    wt: 1:   Long Division forwards and backwards Example 2
  615.    wt: 1:   Long Division forwards and backwards Example 1
  616.    wt: 1:   12 Why Long Division Works Take III
  617.    wt: 1:   10 Division by Five Long and Short Ways
  618.    wt: 1:   9 Why Long Division Works Take II
  619.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  620.    wt: 1:   4 Division with 2 Digit Divsors
  621.    wt: 1:   C Counting Areas with Powers of Ten
  622.    wt: 1:   A Elementary Basis for Multiplication Methods
  623.    wt: 1:   Video Power Notation in Decimal Expansion
  624.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  625.    wt: 1:   9 22 Minute Subtraction Review Video
  626.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  627.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  628.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  629.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  630.    wt: 1:   5. How to add decimals C. Examples
  631.    wt: 1:   4. How to add with decimals B with conversions
  632.    wt: 1:   3. How to add with decimals A sans conversions
  633.    wt: 1:   2 Decimal Counting Practices
  634.    wt: 1:   11 Place Value SI Standard International way
  635.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  636.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  637.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  638.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  639.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  640.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  641.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  642.    wt: 1:   Formula Evaluation how to show work
  643.    wt: 1:   Expression Evaluation how to show work
  644.    wt: 1:   The 20 Times Table
  645.    wt: 1:   The 12 Times Table Visually
  646.    wt: 1:   016 Numbering Occidental Calendar Days
  647.    wt: 1:   015 School and work day counting tables
  648.    wt: 1:   014 Counting Days with Calendars
  649.    wt: 1:   010 Repeated Addition of Time Intervals
  650.    wt: 1:   7 Addition of Time Intervals
  651.    wt: 1:   6 How long is a million seconds
  652.    wt: 1:   2 Time and Date Matters in School
  653.    wt: 1:   Example 2 volume of a cone
  654.    wt: 1:   Example 1 volume of a pyramid
  655.    wt: 1:   Volume of Solid by Cross Sections Lesson
  656.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  657.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  658.    wt: 1:   5 Area Under Curve Exercise
  659.    wt: 1:   4 Second derivative test exercise example
  660.    wt: 1:   A Chain Rule Real Player video examples
  661.    wt: 1:   33 Chain Rule Real Player video examples
  662.    wt: 1:   31 Derivatives of inverse functions
  663.    wt: 1:   30Chain Rule A Proof
  664.    wt: 1:   28 Chain Rule Preparation for a Proof
  665.    wt: 1:   22 Chain Rule for polynomials
  666.    wt: 1:   21 Chain Rule for powers
  667.    wt: 1:   10 Power rule for negative integers
  668.    wt: 1:   3 Motivation for Limit Definition Take 2
  669.    wt: 1:   2 Motivation for Limit Definition Take 1
  670.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  671.    wt: 1:   9 Limits Continuity and Composition
  672.    wt: 1:   1 Numerical introduction
  673.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  674.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  675.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  676.    wt: 1:   F.5a Equicontinuity Theorems
  677.    wt: 1:   F.3 Intermediate Value Theorem
  678.    wt: 1:   E1 Error Control Inequalities
  679.    wt: 1:   D2 Limits of Monotone Sequences
  680.    wt: 1:   C Triangle Inequalities
  681.    wt: 1:   PostScript For and Against Decimal Perspectives
  682.    wt: 1:   A1. Introduction
  683.    wt: 1:   Chapter 22 Complex Numbers
  684.    wt: 1:   Chapter 21 Arrow Addition
  685.    wt: 1:   Chapter 17. Area Approximation
  686.    wt: 1:   Chapter 16. Velocity Approximation
  687.    wt: 1:   Chapter 15. Slope Approximation
  688.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  689.    wt: 1:   Chapter 13. Acceleration
  690.    wt: 1:   Chapter 12. Units and Slopes
  691.    wt: 1:   Chapter 10 Slopes and Units
  692.    wt: 1:   Chapter 7 Slopes and Velocity
  693.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  694.    wt: 1:   Chapter 5. Slope Sign Tests
  695.    wt: 1:   Chapter 2. Slopes and Ski Trails
  696.    wt: 1:   Fall 1983 Calculus Appetizer
  697.    wt: 1:   Appendix E. How To Study Mathematics and Why
  698.    wt: 1:   Appendix C. How to Read
  699.    wt: 1:   Appendix B. How To Learn
  700.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  701.    wt: 1:   Chapter 30 Truth Tables
  702.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  703.    wt: 1:   Chapter 28 Occurrence Tables
  704.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  705.    wt: 1:   Chapter 23. Notation For Sums
  706.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  707.    wt: 1:   Chapter 18. Rules for Algebra
  708.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  709.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  710.    wt: 1:   Chapter 12. Shorthand Usage Guide
  711.    wt: 1:   Chapter 11. Why Shorthand
  712.    wt: 1:   Chapter 8 Three Skills For Algebra
  713.    wt: 1:   Solutions For Arithmetic Exercises
  714.    wt: 1:   Chapter 6 Change of Language
  715.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  716.    wt: 1:   Chapter 12 Four Phases
  717.    wt: 1:   Chapter 10 Transition
  718.    wt: 1:   Chapter 9 The Two Ends
  719.    wt: 1:   Chapter 7 Two Treatments of Geometry
  720.    wt: 1:   Chapter 5 Four References
  721.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  722.    wt: 1:   Chapter 3 Algebra Difficulties
  723.    wt: 1:   Chapter 23 Truth Tables
  724.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  725.    wt: 1:   Chapter 21 Occurrence Tables
  726.    wt: 1:   Chapter 18 Sense and Knowledge
  727.    wt: 1:   Chapter 15 Objective Processes
  728.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  729.    wt: 1:   Chapter 10 Responsibility
  730.    wt: 1:   Chapter 8 Change of Language
  731.    wt: 1:   Chapter 5 Deception
  732.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  733.    wt: 1:   Chapter 2 Skill Development
  734.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  735.    wt: 1:   O On Learning Mathematics and Science
  736.    wt: 1:   M Words to extend arithmetic
  737.    wt: 1:   J. More on written work and showing skill
  738.    wt: 1:   H Jigsaw puzzles and problem solving
  739.    wt: 1:   F. The student teacher tutor feedback loop
  740.    wt: 1:   E. When and how to correct errors
  741.    wt: 1:   B. Domino effect of errors
  742.    wt: 1:   How to Build Skills and Confidence
  743.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  744.    wt: 1:   Chapter 6 More Algebra and Geometry
  745.    wt: 1:   Chapter 3 Algebra Starter Lessons
  746.    wt: 1:   Chapter 2 Why Sets
  747.    wt: 1:   Chapter 1 Arithmetic
  748.    wt: 1:   7 Games and Activities for Instruction
  749.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  750.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  751.    wt: 1:   More Algebra and Slope based Calculus Preview
  752.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  753.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  754.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  755.    wt: 1:   Which Way To Go

Extended Search

1023 matches:

  1.    wt: 9:   Postscript C Consistency as a Tool for Reason
  2.    wt: 9:   Postscript B More on Story Telling and Reason
  3.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  4.    wt: 9:   Chapter 16 Origins and Limitations of Rules and Patterns
  5.    wt: 9:   Chapter 7 Longer Chains of Reason
  6.    wt: 9:   Chapter 6 Chains of Reason
  7.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  8.    wt: 8:   Postscript A Story Telling
  9.    wt: 8:   Chapter 22 Contrapositive and Vacuously True Implications
  10.    wt: 8:   Chapter 17 Objective Ways Trial and Error Discovery
  11.    wt: 8:   Chapter 11 Accidental Patterns
  12.    wt: 8:   Chapter 2 Skill Development
  13.    wt: 8:   Chapter 1 Introduction
  14.    wt: 7:   Straight Lines Instersection Solving Equations
  15.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  16.    wt: 7:   2 Combing Counts Addition Skills and Principles
  17.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  18.    wt: 7:   Chapter 23 Truth Tables
  19.    wt: 7:   Chapter 21 Occurrence Tables
  20.    wt: 7:   Chapter 18 Sense and Knowledge
  21.    wt: 7:   Chapter 15 Objective Processes
  22.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  23.    wt: 7:   Chapter 10 Responsibility
  24.    wt: 7:   Chapter 8 Change of Language
  25.    wt: 7:   Chapter 5 Deception
  26.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  27.    wt: 6:   7 arcsin left inverse of sine Definition
  28.    wt: 6:   4 graphing y=Asin(x c)
  29.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  30.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  31.    wt: 6:   Straight Lines ASA Intersection Study More
  32.    wt: 6:   Straight Lines ASA Intersection Study
  33.    wt: 6:   Straight Lines Intersection of
  34.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  35.    wt: 6:   4 Similarity Definition with Coordinate
  36.    wt: 6:   6 Intersection of lines by solving linear systems
  37.    wt: 6:   3 Multiplicative Counting Skills Principles
  38.    wt: 6:   1 The Counting Origins of Numbers
  39.    wt: 6:   2 GE II Comparison
  40.    wt: 6:   4 Solving a triangular system exercise
  41.    wt: 6:   2 Essentially one exercises three with solution
  42.    wt: 6:   2 Division with Single Digit Divisors
  43.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  44.    wt: 6:   7 Adding decimal fractions using decimal point
  45.    wt: 6:   26 Chain Rule Recognising outer inner functions
  46.    wt: 6:   Chapter 20 Vectors and Complex Numbers
  47.    wt: 6:   Chapter 1 Introduction to Chapters 2 to 6
  48.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  49.    wt: 6:   Three Remarks
  50.    wt: 6:   Foreword
  51.    wt: 5:   teaching tutoring algebraic reason
  52.    wt: 5:   chapitre 07 01 principle D induction mathematique
  53.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  54.    wt: 5:   chapitre 06 00 Chaines de la raison
  55.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  56.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  57.    wt: 5:   20 Interchanging coordinates a reflection
  58.    wt: 5:   8 arcsin left inverse of sine Graph
  59.    wt: 5:   5 Swapping Coordinates is a reflection
  60.    wt: 5:   3 Left Inverse of cosine arccos definition
  61.    wt: 5:   9 Summary Degrees to Radians and back
  62.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  63.    wt: 5:   3 graphing y=f(x c) plus K
  64.    wt: 5:   1 graphing y=f(x a)
  65.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  66.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  67.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  68.    wt: 5:   7 Tangent Function is odd on this domain
  69.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  70.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  71.    wt: 5:   20 sine and cosine Double Angle Formulas
  72.    wt: 5:   12 cis formulas for sine cosines and tangent
  73.    wt: 5:   11 Triangle Similarity Missing Side Problem
  74.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  75.    wt: 5:   2 point slope equation for a line
  76.    wt: 5:   What is and is not here
  77.    wt: 5:   8 Distance Between Points on a Line
  78.    wt: 5:   10 Dropping a perpendicular to line
  79.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  80.    wt: 5:   21 Addition of Multiples of a Single Vector
  81.    wt: 5:   19 Signed Multiples of Vectors
  82.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  83.    wt: 5:   15 Head to Tails in place Addition Associative
  84.    wt: 5:   14 Vector Head to Tail Sums and Resultants
  85.    wt: 5:   13 Arrows and Vectors in a Plane
  86.    wt: 5:   12 Real Numbers Line Signed Coordinates
  87.    wt: 5:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  88.    wt: 5:   E Long Division Methods more
  89.    wt: 5:   D Long Division Methods
  90.    wt: 5:   B Decimal Comparison and Subtraction
  91.    wt: 5:   8 Column Multiplication Methods in General
  92.    wt: 5:   5 Distributive Law for Whole Numbers
  93.    wt: 5:   4 Commutative Law Groups Counting Form
  94.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  95.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  96.    wt: 5:   3 Solving triangular system example
  97.    wt: 5:   5 Algebraic Solutions Introduction
  98.    wt: 5:   2 Three Examples
  99.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  100.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  101.    wt: 5:   15 video Factors of 20 using Prime Factorization
  102.    wt: 5:   7 Long Divison Mistake Catching
  103.    wt: 5:   3 Division Single Digit Divisor Example
  104.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  105.    wt: 5:   9 22 Minute Subtraction Review Video
  106.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  107.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  108.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  109.    wt: 5:   2 Subtraction Easy Case Examples
  110.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  111.    wt: 5:   8 What skills and work habits to require
  112.    wt: 5:   6. Counting and adding units and mixed units
  113.    wt: 5:   2 Decimal Counting Practices
  114.    wt: 5:   1. Explaining Addition Table
  115.    wt: 5:   2 Indefinite Integrals Exercises
  116.    wt: 5:   1 Chain Rule in Reverse Integration Method
  117.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  118.    wt: 5:   19 Chain Rule for linear functions
  119.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  120.    wt: 5:   B1 Pigeon Hole Principles from combinatorics
  121.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  122.    wt: 5:   Chapter 23 Links To Trigonometry
  123.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  124.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  125.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  126.    wt: 4:   Different Kinds of Reasoning in maths
  127.    wt: 4:   three kinds of reason in mathematics
  128.    wt: 4:   fairness and inductive principles for instruction
  129.    wt: 4:   chapitre 12 00 les iles et division
  130.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  131.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  132.    wt: 4:   chapitre 01 00 Introduction
  133.    wt: 4:   3 Like resistors in parallel
  134.    wt: 4:   sign monoticity analysis example 2
  135.    wt: 4:   16 Increasing or decreasing on intervals
  136.    wt: 4:   16 cotangent function Definition Graph and Inverse
  137.    wt: 4:   15 cosecant function Definition Graph and Inverse
  138.    wt: 4:   14 secant function Definition Graph and Inverse
  139.    wt: 4:   13 cosecant function Definition Graph and Inverse
  140.    wt: 4:   10 arctan left inverse of tangent Definition
  141.    wt: 4:   9 motivation for name arcsin
  142.    wt: 4:   7 Radian Measures in special Triangles
  143.    wt: 4:   6 Radian Measure to Degrees
  144.    wt: 4:   5 Degrees to Radian Measure
  145.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  146.    wt: 4:   1 Degrees and Radians Introduction
  147.    wt: 4:   13 Velocity Vectors in Physics
  148.    wt: 4:   12 From Applied To Pure Mathematics
  149.    wt: 4:   9 Head to Tail Coordinate View
  150.    wt: 4:   6 Vectors with Coordinates
  151.    wt: 4:   2 Signed Coordinates
  152.    wt: 4:   Parallel Lines and Interior Angles
  153.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  154.    wt: 4:   C Straight Lines Slope from Coordinates
  155.    wt: 4:   B Straight Line Slope Scaling Properties More
  156.    wt: 4:   A Straight Line Slope Scaling Properties
  157.    wt: 4:   12 Straight Lines Graphing mx plus b
  158.    wt: 4:   11 Straight Lines Graphing y=mx
  159.    wt: 4:   10 Straight Lines through Origin Equations More
  160.    wt: 4:   9 Straight Lines through Origin Equations
  161.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  162.    wt: 4:   1 Straight Lines Slope Concept
  163.    wt: 4:   28 Expressing products of sines cosines as sums
  164.    wt: 4:   21 sine and cosine Half Angle Formulas
  165.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  166.    wt: 4:   17D cis formulas for sine cosines and tangent
  167.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  168.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  169.    wt: 4:   3 Trigonometric Ratios sine and cosine
  170.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  171.    wt: 4:   12 Triangles Similarity More Problems
  172.    wt: 4:   6 Geometric Diagrams in Class
  173.    wt: 4:   3 Similarity by Design with coordinates
  174.    wt: 4:   12 Links Lessons elsewhere
  175.    wt: 4:   7 Exercises to test skill and concept mastery
  176.    wt: 4:   12 Spatial Coordinates
  177.    wt: 4:   4 Polar Coordinates to and from
  178.    wt: 4:   2 Cartesian Coordinates with signs
  179.    wt: 4:   PS D Addition with Cartesian Coordinates
  180.    wt: 4:   19 Right Triangle Similarity
  181.    wt: 4:   17 Right Bisectors of Triangle Sides
  182.    wt: 4:   9 Construction of a right bisector
  183.    wt: 4:   musings do not puiblish real numbers
  184.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  185.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  186.    wt: 4:   9 Division with Digits after Decimal Point
  187.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  188.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  189.    wt: 4:   4 Location of Point in Decimal Addition
  190.    wt: 4:   3 Location of Point in Decimal Multiplication
  191.    wt: 4:   2 Counting Digits in Decimal Multiplication
  192.    wt: 4:   C Three Decimal Subtraction Methods
  193.    wt: 4:   A Decimal Addition Columm Methods
  194.    wt: 4:   7 Decimals Multiplication Methods Examples
  195.    wt: 4:   6 Column Methods for Decimal Multiplication
  196.    wt: 4:   5 Areas of Rectangles Revisited
  197.    wt: 4:   3 Inequalities Algebraically
  198.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  199.    wt: 4:   5 Greater More Less Than Signs in General
  200.    wt: 4:   4 Comparison of Negative Numbers
  201.    wt: 4:   1 Real Numbers Comparison
  202.    wt: 4:   More Exercises
  203.    wt: 4:   Simple Exercises
  204.    wt: 4:   4 GE III Animated Examples
  205.    wt: 4:   3 GE III Equation Addition and Multiplication
  206.    wt: 4:   1 GE Substitution four examples
  207.    wt: 4:   1 Essentially One Unknown
  208.    wt: 4:   6 Algebraic Solution Example
  209.    wt: 4:   4 Four Examples Fractional Coefficients
  210.    wt: 4:   3 Four Examples
  211.    wt: 4:   1 Proper Equal Sign Usage
  212.    wt: 4:   2 Three Examples
  213.    wt: 4:   Using Letters for Physical Quantities
  214.    wt: 4:   9 Sets in Probability and Statistics
  215.    wt: 4:   1 Counting and Counting Methods I
  216.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  217.    wt: 4:   14 Adding and Subtracting with Like Denominators
  218.    wt: 4:   12 Adding Integers More Examples
  219.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  220.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  221.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  222.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  223.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  224.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  225.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  226.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  227.    wt: 4:   20 Uniqueness of Prime Factorization
  228.    wt: 4:   19 video Prime Factorization Unique
  229.    wt: 4:   13 video Factors of 24 using prime
  230.    wt: 4:   9 video Prime Factorization upto 19 squared
  231.    wt: 4:   8 video Prime Factorization upto 19
  232.    wt: 4:   Long Division Backwards more
  233.    wt: 4:   Long Division forwards and backwards Example 2
  234.    wt: 4:   Long Division forwards and backwards Example 1
  235.    wt: 4:   12 Why Long Division Works Take III
  236.    wt: 4:   11 Another Single Digit Divisor Example
  237.    wt: 4:   8 Correcting the Mistake
  238.    wt: 4:   5 Long Division Include Zeroes or not
  239.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  240.    wt: 4:   Subtraction with J Conversions Example
  241.    wt: 4:   Subtraction Another Video Lesson
  242.    wt: 4:   8 Subtraction with Units of Measure
  243.    wt: 4:   5 A Tip for Efficent Subtraction
  244.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  245.    wt: 4:   5. How to add decimals C. Examples
  246.    wt: 4:   4. How to add with decimals B with conversions
  247.    wt: 4:   3. How to add with decimals A sans conversions
  248.    wt: 4:   A Related Material in Volume 3
  249.    wt: 4:   4 Definite Integrals Evaluation Exercises
  250.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  251.    wt: 4:   A Chain Rule Real Player video examples
  252.    wt: 4:   30Chain Rule A Proof
  253.    wt: 4:   29 Chain Rule Optional Reading
  254.    wt: 4:   25 Chain Rule Animated Examples Continued
  255.    wt: 4:   24 Chain Rule Animated Examples
  256.    wt: 4:   23 Chain Rule in general
  257.    wt: 4:   21 Chain Rule for powers
  258.    wt: 4:   20 Chain Rule for Pulley Systems
  259.    wt: 4:   18 Chain Rule Introduction
  260.    wt: 4:   17 Derivatives of quotients of sine and cosine
  261.    wt: 4:   15 sine and cosine derivatives 3rd step
  262.    wt: 4:   14 sine and cosine derivatives 2nd step
  263.    wt: 4:   13 sine and cosine derivatives 1st step
  264.    wt: 4:   11 Limits at infinity Three Examples
  265.    wt: 4:   F.4 Finite Covering Theorem
  266.    wt: 4:   Chapter 22 Complex Numbers
  267.    wt: 4:   Chapter 18. Slopes Areas Integration
  268.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  269.    wt: 4:   Chapter 12. Units and Slopes
  270.    wt: 4:   Chapter 11. Graphing Slope versus Position
  271.    wt: 4:   Chapter 9 About First Courses in Calculus
  272.    wt: 4:   Chapter 8. Slope Interpretation
  273.    wt: 4:   Chapter 4. More Slope Sign Analysis
  274.    wt: 4:   Chapter 3. Slope Sign Analysis
  275.    wt: 4:   Chapter 2. Slopes and Ski Trails
  276.    wt: 4:   Chapter 1.Introduction
  277.    wt: 4:   Fall 1983 Calculus Appetizer
  278.    wt: 4:   Appendix D. What to do in School and Why
  279.    wt: 4:   Chapter 31 Direct and Indirect Reason
  280.    wt: 4:   Chapter 20. Degrees and Radians
  281.    wt: 4:   Chapter 19. Functions and Sets
  282.    wt: 4:   Chapter 16. Painless Theorem Proving
  283.    wt: 4:   Chapter 15. Solving Linear Equations
  284.    wt: 4:   Chapter 10 Describing and Changing Calculations
  285.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  286.    wt: 4:   Chapter 4 Longer Chains of Reason
  287.    wt: 4:   Chapter 3 Chains of Reason
  288.    wt: 4:   Chapter 2 For and Against Mathematics
  289.    wt: 4:   H more Routine to non routine problem solving
  290.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  291.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  292.    wt: 3:   J LAMP Introduction Extrinsic Origins
  293.    wt: 3:   9 combinatorics probability sets
  294.    wt: 3:   What is POMME
  295.    wt: 3:   grouping students according to ability
  296.    wt: 3:   What to Tell Students
  297.    wt: 3:   04 25 when to stop or suspend mathemat
  298.    wt: 3:   How to be a better instructor
  299.    wt: 3:   chapitre 05 00 Deception
  300.    wt: 3:   chapitre 04 09 Regles accidentelles
  301.    wt: 3:   chapitre 04 08 Limitations et benefices
  302.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  303.    wt: 3:   chapitre 04 06 engagements
  304.    wt: 3:   chapitre 04 05 Implication versus suggestion
  305.    wt: 3:   chapitre 04 04 Parlons de la logique
  306.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  307.    wt: 3:   chapitre 04 02 Deuxieme enigme
  308.    wt: 3:   chapitre 04 01 Premiere enigme
  309.    wt: 3:   chapitre 04 00 Les regles d implication
  310.    wt: 3:   chapitre 02 00 La Communication des idees
  311.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  312.    wt: 3:   2 Unlike resistors in parallel01
  313.    wt: 3:   1 Like resistors in series
  314.    wt: 3:   F Unlike Resistors in Series
  315.    wt: 3:   Home Tutoring and Home Schooling
  316.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  317.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  318.    wt: 3:   2 Reading and Writing Skills
  319.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  320.    wt: 3:   sign monoticity analysis example 4
  321.    wt: 3:   sign monoticity analysis example 3
  322.    wt: 3:   sign monoticity analysis example 1
  323.    wt: 3:   19 Horizontal line rule and method
  324.    wt: 3:   13 From one to one to many to one
  325.    wt: 3:   12 Function Domain Recognition Exercises
  326.    wt: 3:   3 quadratics factoring by inspection
  327.    wt: 3:   5 Natural Logarithm Calculator Exercises
  328.    wt: 3:   1 Calculator Starter Exercises
  329.    wt: 3:   8 Notes for instructors or tutors
  330.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  331.    wt: 3:   4 Polynomials Long division linear divisor
  332.    wt: 3:   11 arctan left inverse of tangent Graph
  333.    wt: 3:   2 cosine function more properties
  334.    wt: 3:   1 cosine function properties
  335.    wt: 3:   8 Radian Measures of Common Angles
  336.    wt: 3:   2 Radian Measure Numerical Value of one degree
  337.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  338.    wt: 3:   8 Parallel Vectors
  339.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  340.    wt: 3:   5 Head To Tail Arrow Addition
  341.    wt: 3:   3 Navigation with Arrows or Vectors
  342.    wt: 3:   1 Unsigned Coordinates
  343.    wt: 3:   Vector and Complex Number Applet
  344.    wt: 3:   Parallel Lines and Parallel Transversals
  345.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  346.    wt: 3:   Triangle Angles Sum To 180 Degrees
  347.    wt: 3:   14 Straight Lines Equations General Case
  348.    wt: 3:   8 Straight Lines Equation for vertical
  349.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  350.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  351.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  352.    wt: 3:   27 Logarithmic use of products of sines and cosines
  353.    wt: 3:   26 Formulas for products of sines and cosines
  354.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  355.    wt: 3:   18 sum of sinusoidal waves as a single wave
  356.    wt: 3:   17C sine and cosine double triple angle formulas
  357.    wt: 3:   15 sine cosine Complementary Angle Relations
  358.    wt: 3:   14 cosine even and sine and tangent are odd
  359.    wt: 3:   11 tangent function undefined when terminal side vertical
  360.    wt: 3:   10 Graphs of sines and cosines many periods
  361.    wt: 3:   9 Graphs of sine and cosine over one period
  362.    wt: 3:   7 period of sine and cosine
  363.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  364.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  365.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  366.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  367.    wt: 3:   20 N th Roots of Complex Numbers
  368.    wt: 3:   19 N th Roots of Unity
  369.    wt: 3:   11 sine and cosine double triple angle formulas
  370.    wt: 3:   8 Triangles Cascade Problem Solving
  371.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  372.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  373.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  374.    wt: 3:   9 Similarity of Triangles Usual Criteria
  375.    wt: 3:   8 Similarity of Triangles and Polygons
  376.    wt: 3:   7 Translations Rotations Reflections Dilatations
  377.    wt: 3:   5 Similarity of Circles Squares and Rectangles
  378.    wt: 3:   2 Similarity By Design
  379.    wt: 3:   1 Early Concept of Like or Similar Shapes
  380.    wt: 3:   Four Simple Exercises
  381.    wt: 3:   10 Midpoint of [a b] and [b a]
  382.    wt: 3:   8 Mid Point Formula
  383.    wt: 3:   4 Equations for lines three forms
  384.    wt: 3:   3 Slope product for perpendicular lines
  385.    wt: 3:   1 Numerical view of lines and their equations
  386.    wt: 3:   13 Pythagorean spatial distance formulas
  387.    wt: 3:   11 Triangle Inequality
  388.    wt: 3:   10 Pythagorean plane distance formula
  389.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  390.    wt: 3:   3 Rectangular Coordinates Review
  391.    wt: 3:   1 Cartesian Coordinates sans signs
  392.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  393.    wt: 3:   PS H Distributive Law For Complex Numbers
  394.    wt: 3:   PS G Rotation Distributes over Addition
  395.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  396.    wt: 3:   PS E Multiplication with Polar Coordinates
  397.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  398.    wt: 3:   PS B Parallelogram Construction Methods
  399.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  400.    wt: 3:   14 Parallel Lines Postulate
  401.    wt: 3:   12 Side Angle Side Failure
  402.    wt: 3:   8 Isoceles Triangles
  403.    wt: 3:   6 Ruler and compass Angle Bisection
  404.    wt: 3:   3 Isometry of Triangles Congruence
  405.    wt: 3:   2 Correspondence between Triangles
  406.    wt: 3:   1 Initial Concepts and Terms
  407.    wt: 3:   6 Figuring with Maps Not to Scale
  408.    wt: 3:   A Modular and Remainder Arithmetic
  409.    wt: 3:   26 More Less Greater Than Comparison
  410.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  411.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  412.    wt: 3:   23 Distributive Law Two Derivations
  413.    wt: 3:   11 Signed Number Addition and Addition Properties
  414.    wt: 3:   8 Division and Mulplication of Compound Fractions
  415.    wt: 3:   1 Fractions with Finite Decimal Expansions
  416.    wt: 3:   4 Fraction Operations Axiomatic Development
  417.    wt: 3:   2 Fraction Operations Physical Development
  418.    wt: 3:   1 What is Proportionality
  419.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  420.    wt: 3:   6 Compound Interest Forward and Backwards
  421.    wt: 3:   3 Linear Equation Literal Solution More
  422.    wt: 3:   2 Linear Equation Literal Solution
  423.    wt: 3:   1 Changing Calculations
  424.    wt: 3:   3 More and Less Than with Unlike Signs
  425.    wt: 3:   2 More and Less Than for Counts and Measures
  426.    wt: 3:   16 Real Numbers Comparison
  427.    wt: 3:   15 Real Number Division
  428.    wt: 3:   12 Real Number Additive Inverses or Negatives
  429.    wt: 3:   9 Coordinates for Regions in Space
  430.    wt: 3:   7 Real Numbers as Line Cordinates
  431.    wt: 3:   Skill Development Notes
  432.    wt: 3:   10 One Example
  433.    wt: 3:   9 Three Examples
  434.    wt: 3:   8 One Example
  435.    wt: 3:   7 Two Examples
  436.    wt: 3:   6 Three Examples
  437.    wt: 3:   5 Three Examples
  438.    wt: 3:   4 Two Examples
  439.    wt: 3:   3 Two Examples
  440.    wt: 3:   Formula Usage Show Work Format
  441.    wt: 3:   13 Naming Identifying Formulas with Words
  442.    wt: 3:   7 Compound Interest Formula Introduction
  443.    wt: 3:   1 Written work formats for developing and showing skill
  444.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  445.    wt: 3:   3 Counting with Sets etc
  446.    wt: 3:   1 Finite Sets
  447.    wt: 3:   6 Three Notions of What is a Variable
  448.    wt: 3:   3 Adding Words To Arithmetic
  449.    wt: 3:   2 What is a Variable
  450.    wt: 3:   4 Greater More Less Than Signs in General
  451.    wt: 3:   3 Comparison of Negative Numbers
  452.    wt: 3:   2 More and Less Than with Unlike Signs
  453.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  454.    wt: 3:   4 Counting with Trees Product Rule Take I
  455.    wt: 3:   3 Counting with Tables and Trees II
  456.    wt: 3:   2 Counting with Tables and Trees I
  457.    wt: 3:   19 Dividing Fractions How TO
  458.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  459.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  460.    wt: 3:   B Integer Long Division Multiple Choices
  461.    wt: 3:   13 Subtraction with Additive Inverse
  462.    wt: 3:   11 Adding Integers Formulas and Examples
  463.    wt: 3:   9 Multiplying Integers
  464.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  465.    wt: 3:   1 Integers as Coordinates
  466.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  467.    wt: 3:   26 Divisibility by 2 3 5 Example
  468.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  469.    wt: 3:   23 Remainder Arithmetic Modulo 2
  470.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  471.    wt: 3:   21 Remainder Arithmetic Modulo 3
  472.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  473.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  474.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  475.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  476.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  477.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  478.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  479.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  480.    wt: 3:   5 Remainder Arithmetic Modulo 5
  481.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  482.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  483.    wt: 3:   1 Remainder Arithmetic Modulo 10
  484.    wt: 3:   18 video Count Factors given Prime Factorization
  485.    wt: 3:   17 Identify and Count Factors using Primes
  486.    wt: 3:   16 video Factors of 980 using prime
  487.    wt: 3:   14 video Factors of 24 Take II
  488.    wt: 3:   12 LCD GCD and LCM using Primes
  489.    wt: 3:   10 video Prime Factorization upto 23 squared
  490.    wt: 3:   4 video Prime Factorization Introduction
  491.    wt: 3:   Long Division Backward
  492.    wt: 3:   Division with Counts and Length
  493.    wt: 3:   Long Division forwards and backwards Example 3
  494.    wt: 3:   10 Division by Five Long and Short Ways
  495.    wt: 3:   9 Why Long Division Works Take II
  496.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  497.    wt: 3:   4 Division with 2 Digit Divsors
  498.    wt: 3:   012 Division of Time Intervals by Time Intervals
  499.    wt: 3:   8 Addition of Time Intervals via subtotaling
  500.    wt: 3:   3 Two Chain Rule Method Exercises
  501.    wt: 3:   A Related lessons in Volume 3
  502.    wt: 3:   33 Chain Rule Real Player video examples
  503.    wt: 3:   31 Derivatives of inverse functions
  504.    wt: 3:   28 Chain Rule Preparation for a Proof
  505.    wt: 3:   22 Chain Rule for polynomials
  506.    wt: 3:   10 Power rule for negative integers
  507.    wt: 3:   6 Power rule from product rule
  508.    wt: 3:   4 Sum Rule
  509.    wt: 3:   3 Motivation for Limit Definition Take 2
  510.    wt: 3:   2 Motivation for Limit Definition Take 1
  511.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  512.    wt: 3:   10 Three one sided limits with infinite values
  513.    wt: 3:   6 Continuity at a point
  514.    wt: 3:   3 Decimal insights for limits continuity convergence
  515.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  516.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  517.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  518.    wt: 3:   F.1 What Functions are Continuous
  519.    wt: 3:   Chapter 21 Arrow Addition
  520.    wt: 3:   Chapter 17. Area Approximation
  521.    wt: 3:   Chapter 16. Velocity Approximation
  522.    wt: 3:   Chapter 15. Slope Approximation
  523.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  524.    wt: 3:   Chapter 13. Acceleration
  525.    wt: 3:   Chapter 10 Slopes and Units
  526.    wt: 3:   Chapter 7 Slopes and Velocity
  527.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  528.    wt: 3:   Chapter 5. Slope Sign Tests
  529.    wt: 3:   Appendix B. How To Learn
  530.    wt: 3:   Chapter 25. Mathematical Induction Examples
  531.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  532.    wt: 3:   Chapter 21. Third Reading Guide
  533.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  534.    wt: 3:   Chapter 13. Second Reading Guide
  535.    wt: 3:   Chapter 12. Shorthand Usage Guide
  536.    wt: 3:   Postscript What is a Variable
  537.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  538.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  539.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  540.    wt: 3:   Annotated Links to Material Elsehwere
  541.    wt: 3:   Chapter 12 Four Phases
  542.    wt: 3:   Chapter 11 Elementary Instruction
  543.    wt: 3:   Chapter 8 Modern Instruction
  544.    wt: 3:   Chapter 1 Introduction
  545.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  546.    wt: 3:   S Adding words to algebra
  547.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  548.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  549.    wt: 3:   Helping the Blind in Logic and Mathematics
  550.    wt: 3:   Systematic Algebra Skill Development Missing Links
  551.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  552.    wt: 2:   H LAMP Introduction Instructional Concepts
  553.    wt: 2:   G LAMP Introduction Problem Solving Skills
  554.    wt: 2:   F LAMP Introduction Prerequisites
  555.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  556.    wt: 2:   Ramblings Extrinsic numbers theory
  557.    wt: 2:   Ramblings Introduction Algebra Essay
  558.    wt: 2:   Skills Chapter 2 Geometry
  559.    wt: 2:   Skills Chapter 0 Introduction
  560.    wt: 2:   10 statistics
  561.    wt: 2:   7 logic review and decimals an odd combination
  562.    wt: 2:   Applied Maths Program14092009 POMME variant
  563.    wt: 2:   links Education Resources online
  564.    wt: 2:   learning takes time
  565.    wt: 2:   Education Reform Inconsistencies
  566.    wt: 2:   teaching tips
  567.    wt: 2:   Lessening Algebra Difficulties
  568.    wt: 2:   three goals for Mathematics Education
  569.    wt: 2:   02 20 mathematics education references
  570.    wt: 2:   Operational Viewpoint to Value
  571.    wt: 2:   mathematics instruction in general
  572.    wt: 2:   cultivating intelligence
  573.    wt: 2:   Prequel In For A Penny In For A Pound
  574.    wt: 2:   words for mathematics instructor
  575.    wt: 2:   Trois Notions qui menent a algebre
  576.    wt: 2:   deux definitions pour variable
  577.    wt: 2:   2 Conductance Resistance Duality02
  578.    wt: 2:   1 Conductance Resistance Duality01
  579.    wt: 2:   24 Standards For Skill Develoment Take II
  580.    wt: 2:   24 Standards For Skill Develoment
  581.    wt: 2:   Ages 12 to 14 Skills with take home value
  582.    wt: 2:   Ages 12 to 14 Geometry
  583.    wt: 2:   Ages 12 to 14 Arithmetic
  584.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  585.    wt: 2:   26 Function definitions done and coming
  586.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  587.    wt: 2:   7 Functions with finite domains
  588.    wt: 2:   3 Formula or function graphing exercise
  589.    wt: 2:   Introduction Reading Guide
  590.    wt: 2:   2 quadratics graphing in general
  591.    wt: 2:   1 quadratics graphing exercises
  592.    wt: 2:   11 Growth and Decay in Biology
  593.    wt: 2:   2 Square Root Simplification a prequel
  594.    wt: 2:   12 motivation for term arctan
  595.    wt: 2:   6 Graph of arccos function
  596.    wt: 2:   4 possible motivation for term arccos
  597.    wt: 2:   A Global Time and Navigation
  598.    wt: 2:   15 Dot and Cross Product
  599.    wt: 2:   11 Component Method
  600.    wt: 2:   10 Parallelogram Addition Method
  601.    wt: 2:   4 Resultant of a Sum of Movements
  602.    wt: 2:   5 Tangent Function Graph
  603.    wt: 2:   4 Tangent Function Properties
  604.    wt: 2:   25 tangent double angle formula Slope connection
  605.    wt: 2:   24 tangent Angle Difference Formula
  606.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  607.    wt: 2:   17F Law of cosines
  608.    wt: 2:   17A The complex number valued trig function cis
  609.    wt: 2:   1 Unit Points Reflections Rotations
  610.    wt: 2:   16 References and Originality Question
  611.    wt: 2:   14 Law of cosines
  612.    wt: 2:   9 The complex number valued trig function cis
  613.    wt: 2:   7 Second Way to Calculate Products
  614.    wt: 2:   5 An Easy Proof of the Distributive Law
  615.    wt: 2:   2 Complex Numbers made easier we hope
  616.    wt: 2:   1 Rectangular Polar Coordinates Review
  617.    wt: 2:   7 Trignometric Ratios Unit Circle
  618.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  619.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  620.    wt: 2:   11 A Partial Summary
  621.    wt: 2:   5 Algebraic View of Slopes
  622.    wt: 2:   7 Complex Numbers Appetizer
  623.    wt: 2:   6 Polar Multiplication and Rotation
  624.    wt: 2:   5 Cartesian Addition and Translation
  625.    wt: 2:   PS A Kite Construction Methods
  626.    wt: 2:   21 Parallelograms
  627.    wt: 2:   18 Triangle Similarity Take 1
  628.    wt: 2:   16 Angles Subtended By Chords and Diameters
  629.    wt: 2:   13 Angle Side Angle Failure
  630.    wt: 2:   11 Triangle Construction Fails
  631.    wt: 2:   7 Angle Side Angle
  632.    wt: 2:   5 Side Angle Side
  633.    wt: 2:   4 Side Side Side
  634.    wt: 2:   Short Course on Euclidean Geometry
  635.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  636.    wt: 2:   4 Angles on Maps Plans drawn to scale
  637.    wt: 2:   2 Measuring Area Directly
  638.    wt: 2:   A Signed Number Arithmetic Review
  639.    wt: 2:   22 Multiplication of Signed Numbers
  640.    wt: 2:   5 Proportionality in Equivalent Fractions
  641.    wt: 2:   2 Algebraic View
  642.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  643.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  644.    wt: 2:   5 Triangle Area Formula Backwards
  645.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  646.    wt: 2:   5 Equality in Algebra
  647.    wt: 2:   4 Subtraction and Division Axioms
  648.    wt: 2:   14 Real Number Multiplication
  649.    wt: 2:   13 Real Number Subtraction
  650.    wt: 2:   11 Real Number Addition
  651.    wt: 2:   10 Real Number Lengths and Signs
  652.    wt: 2:   8 Coordinates for Maps and Planes
  653.    wt: 2:   2 Integers
  654.    wt: 2:   5 Independent versus Dependent Variables
  655.    wt: 2:   4 Changing Letters
  656.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  657.    wt: 2:   11 Volume of Sphere
  658.    wt: 2:   10 Volume of Pyramid
  659.    wt: 2:   9 Volume of Cone
  660.    wt: 2:   8 Compound Interest Formula Evaluation
  661.    wt: 2:   5 Box Volume Formula Example
  662.    wt: 2:   8 Sets of Numbers
  663.    wt: 2:   7 Cautious or Safe Set Construction
  664.    wt: 2:   6 Power Set Notation
  665.    wt: 2:   5 Product Builder Notation
  666.    wt: 2:   4 Subset Builder Notation
  667.    wt: 2:   2 Venn Diagrams
  668.    wt: 2:   5 Talking about Numbers and Quantities
  669.    wt: 2:   4 A Brief Story of numbers and algebra
  670.    wt: 2:   1 More and Less Than for Counts and Measures
  671.    wt: 2:   2 Least Common Multiple LCM intro via list method
  672.    wt: 2:   4 signed coordinates for regions in space
  673.    wt: 2:   3 signed coordinates for maps and planes
  674.    wt: 2:   2 signed and unsigned numbers as coordinates
  675.    wt: 2:   7 Converting or Changing Units
  676.    wt: 2:   20 Dividing Fractions the Why
  677.    wt: 2:   1 What is a fraction Take II
  678.    wt: 2:   1 What is a fraction
  679.    wt: 2:   D Remainders Modulo 11 Pair Rule
  680.    wt: 2:   10 Integer Multiplication Formulas
  681.    wt: 2:   8 Multiplication by Signed Numbers Integers
  682.    wt: 2:   5 Zero Movement and Additive Inverses
  683.    wt: 2:   4 Adding Movements wiht opposite directions
  684.    wt: 2:   3 Adding Movements with same direction
  685.    wt: 2:   7 Calculator Usage Notes and Cautions
  686.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  687.    wt: 2:   5 Prime Factorization and a Square Rule
  688.    wt: 2:   2 Prime and Composites less than 16
  689.    wt: 2:   1 video how Products are bigger than factor
  690.    wt: 2:   1 Divsion Physical Examples
  691.    wt: 2:   C Counting Areas with Powers of Ten
  692.    wt: 2:   A Elementary Basis for Multiplication Methods
  693.    wt: 2:   2 One Digit Multipliers
  694.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  695.    wt: 2:   Video Power Notation in Decimal Expansion
  696.    wt: 2:   Quick history of numbers and algebra
  697.    wt: 2:   The 20 Times Table
  698.    wt: 2:   011 Division of Time Intervals By Numbers
  699.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  700.    wt: 2:   4 Mixing and Changing Units of Time
  701.    wt: 2:   1 Intro of Kids To Time Date Skills
  702.    wt: 2:   Example 2 volume of a cone
  703.    wt: 2:   Example 1 volume of a pyramid
  704.    wt: 2:   Volume of Solid by Cross Sections Lesson
  705.    wt: 2:   Example 1. Area Between x and x squared
  706.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  707.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  708.    wt: 2:   Example 3
  709.    wt: 2:   Area Between Curves Lesson Take 2
  710.    wt: 2:   5 Area Under Curve Exercise
  711.    wt: 2:   4 Second derivative test exercise example
  712.    wt: 2:   38 Formulas and derivatives for powers and roots
  713.    wt: 2:   36 Cube root derivative animated
  714.    wt: 2:   34 Derivative of exponential function
  715.    wt: 2:   12 Quotient rule examples
  716.    wt: 2:   11 Quotient rule
  717.    wt: 2:   9 Reciprocal rule
  718.    wt: 2:   8 Differentiation of polynomials
  719.    wt: 2:   7 Animated Differentiation Examples
  720.    wt: 2:   5 Product Rule
  721.    wt: 2:   9 Limits Continuity and Composition
  722.    wt: 2:   2 Algebraic codification
  723.    wt: 2:   1 Numerical introduction
  724.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  725.    wt: 2:   G.5 Motions With Bounded Velocities
  726.    wt: 2:   F.5a Equicontinuity Theorems
  727.    wt: 2:   F.3 Intermediate Value Theorem
  728.    wt: 2:   E1 Error Control Inequalities
  729.    wt: 2:   D2 Limits of Monotone Sequences
  730.    wt: 2:   C Triangle Inequalities
  731.    wt: 2:   PostScript For and Against Decimal Perspectives
  732.    wt: 2:   A1. Introduction
  733.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  734.    wt: 2:   Foreword
  735.    wt: 2:   Appendix E. How To Study Mathematics and Why
  736.    wt: 2:   Appendix C. How to Read
  737.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  738.    wt: 2:   Chapter 30 Truth Tables
  739.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  740.    wt: 2:   Chapter 28 Occurrence Tables
  741.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  742.    wt: 2:   Chapter 23. Notation For Sums
  743.    wt: 2:   Chapter 18. Rules for Algebra
  744.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  745.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  746.    wt: 2:   Chapter 11. Why Shorthand
  747.    wt: 2:   Chapter 8 Three Skills For Algebra
  748.    wt: 2:   Solutions For Arithmetic Exercises
  749.    wt: 2:   Chapter 6 Change of Language
  750.    wt: 2:   Chapter 10 Transition
  751.    wt: 2:   Chapter 9 The Two Ends
  752.    wt: 2:   Chapter 7 Two Treatments of Geometry
  753.    wt: 2:   Chapter 5 Four References
  754.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  755.    wt: 2:   Chapter 3 Algebra Difficulties
  756.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  757.    wt: 2:   N Improving Marks on Tests and Finals
  758.    wt: 2:   G. Written work formats for developing and showing skill
  759.    wt: 2:   C. Domino effect of being careful
  760.    wt: 2:   B. Domino effect of errors
  761.    wt: 2:   A. Skill has to be seen to believed
  762.    wt: 2:   Chapter 8 Skipped Topics and Why
  763.    wt: 2:   Chapter 2 Why Sets
  764.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  765.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  766.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  767.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  768.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  769.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  770.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  771.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  772.    wt: 1:   K LAMP Musings Science Education
  773.    wt: 1:   I LAMP Introduction Study Habits
  774.    wt: 1:   E LAMP Introduction Modern Mathematics
  775.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  776.    wt: 1:   A Introduction Objectives
  777.    wt: 1:   Skills Chapter 5 Calculus
  778.    wt: 1:   Skills Chapter 4 Logic
  779.    wt: 1:   Skills Chapter 3 Algebra
  780.    wt: 1:   Skills Chapter 1 Arithmetic
  781.    wt: 1:   11 pure mathematics
  782.    wt: 1:   8 analytic geometry etc
  783.    wt: 1:   6 polynomials etc
  784.    wt: 1:   5 logarithms and exponentials etc
  785.    wt: 1:   4 algebra
  786.    wt: 1:   3 Euclidean Geometry Leanly
  787.    wt: 1:   2 arithmetic with signed numbers
  788.    wt: 1:   1 arithmetic with unsigned numbers
  789.    wt: 1:   why bother
  790.    wt: 1:   which way to go
  791.    wt: 1:   three goals to set for students
  792.    wt: 1:   permissions for teachers
  793.    wt: 1:   site origins
  794.    wt: 1:   About site lesson plans
  795.    wt: 1:   what should be learnt and When
  796.    wt: 1:   mathematics in context
  797.    wt: 1:   Postscript 2007 01 10
  798.    wt: 1:   Maps Plans Drawings
  799.    wt: 1:   Secondary One Mathematics
  800.    wt: 1:   talk the algebra talk
  801.    wt: 1:   three difficulties
  802.    wt: 1:   mathematics curriculum shifts
  803.    wt: 1:   geometric implications for algebra
  804.    wt: 1:   the trouble with algebra
  805.    wt: 1:   05 13 OldSiteEntrancePage
  806.    wt: 1:   04 29 New Mathematics Curriculum
  807.    wt: 1:   02 21 words for teachers
  808.    wt: 1:   three aims for mathematics students
  809.    wt: 1:   formal or informal peer review
  810.    wt: 1:   Education in mathematics science and technology
  811.    wt: 1:   Four ways to improve education reform
  812.    wt: 1:   liens
  813.    wt: 1:   problemes responses
  814.    wt: 1:   problemes algebre et arithmetique
  815.    wt: 1:   logique deux enigme
  816.    wt: 1:   D Energy Power04
  817.    wt: 1:   B Energy Power02
  818.    wt: 1:   F Wire Resistance Calculation04
  819.    wt: 1:   E Wire Resistance Calculation03
  820.    wt: 1:   D Wire Resistance Calculation02
  821.    wt: 1:   C Wire Resistance Calculation01
  822.    wt: 1:   B Wire Resistance Qualitative02
  823.    wt: 1:   A Wire Resistance Qualitative01
  824.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  825.    wt: 1:   22 Student Centered Highschool Mathematics
  826.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  827.    wt: 1:   15 Counting For Parents
  828.    wt: 1:   12 Goals and Objectives For Mathematics
  829.    wt: 1:   10 Ends values for work study instruction
  830.    wt: 1:   9 Streaming by Student Cooperation
  831.    wt: 1:   4 Learning Takes Time and Effort
  832.    wt: 1:   3 Preparing for Science Studies
  833.    wt: 1:   1 Speaking Skills
  834.    wt: 1:   Ages 10 to 12 Geometry
  835.    wt: 1:   Ages 10 to 12 Arithmetic
  836.    wt: 1:   Ages 9 to 10
  837.    wt: 1:   Ages 8 to 9
  838.    wt: 1:   Ages 7 to 8
  839.    wt: 1:   Ages 6 to 7
  840.    wt: 1:   Ages 4 plus to 5 plus
  841.    wt: 1:   Ages 3 plus to 4 plus
  842.    wt: 1:   23 Inverse Functions
  843.    wt: 1:   22 Square Root function graphically
  844.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  845.    wt: 1:   18 Vertical Line Rule and Method
  846.    wt: 1:   17 Function maxima minima and their location
  847.    wt: 1:   15 Sign analysis of functions
  848.    wt: 1:   14 Surjections Injections Bijections
  849.    wt: 1:   11 Function Domain Range Source and Targets
  850.    wt: 1:   10 Interval Notation
  851.    wt: 1:   9 Set theory term relation possible origins
  852.    wt: 1:   6 Set Existence Formation and Notation
  853.    wt: 1:   4 Function notation in and beyond mathematics
  854.    wt: 1:   2 Algebraic use of function notation
  855.    wt: 1:   1 Geometric Introduction of Function Notation
  856.    wt: 1:   10 quadratic exercises
  857.    wt: 1:   5 quadratics completing the square
  858.    wt: 1:   Quadratics in 10 steps
  859.    wt: 1:   10 Exponential Growth and Decay Models
  860.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  861.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  862.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  863.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  864.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  865.    wt: 1:   7 Links Lessons Elsewhere
  866.    wt: 1:   1 Polynomials Distributive Law
  867.    wt: 1:   Rewriting algebraic substitution as function substitutions
  868.    wt: 1:   17 tangent function angle sum formulas
  869.    wt: 1:   32 seven rows of pascals triangle
  870.    wt: 1:   31 basic secant cosecant cotangent trig identities
  871.    wt: 1:   30 unit circle calculation of six trigonometric functions
  872.    wt: 1:   29 secant cosecant and cotangent for acute angles
  873.    wt: 1:   17G Pythagorean Theorem Converse
  874.    wt: 1:   17E Trig Formulas for dot and cross Products
  875.    wt: 1:   16 Right Triangle Complementary Angle Relations
  876.    wt: 1:   13 Graph of tangent function many periods
  877.    wt: 1:   12 Graph of tangent function for one period
  878.    wt: 1:   8 period of tangent function
  879.    wt: 1:   2 Quadrant I reference Angles
  880.    wt: 1:   Unit Circle Development of Trigonometry
  881.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  882.    wt: 1:   21 Logarithms Powers and Exponentials
  883.    wt: 1:   18 Sixth Roots of Unity
  884.    wt: 1:   17 Cube Roots of unity
  885.    wt: 1:   15 Pythagorean Theorem Converse
  886.    wt: 1:   13 Trig Formulas for dot and cross Products
  887.    wt: 1:   8 Unit Circle Development of Trigonometry
  888.    wt: 1:   6 Field Properties of Complex Number
  889.    wt: 1:   4 Multiplication Properties
  890.    wt: 1:   3 Addition Properties
  891.    wt: 1:   Appetizer A Complex Number Applet
  892.    wt: 1:   1 Angle Measurement with Degrees
  893.    wt: 1:   Why Trigonometry the whyslopes view
  894.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  895.    wt: 1:   A Measurement with Ruler Proper Use
  896.    wt: 1:   3 Lengths and Areas on Maps and Plans
  897.    wt: 1:   1 Length Measurement
  898.    wt: 1:   About Folder Contents
  899.    wt: 1:   4 Rates Ratios and Proporitionality
  900.    wt: 1:   3 Proportionality Examples
  901.    wt: 1:   6 Equations and Systems Equivalent or Implied
  902.    wt: 1:   3 Product Axioms Two Forms
  903.    wt: 1:   2 Addition and Multiplication Axioms
  904.    wt: 1:   1 Equivalent Computation Rules
  905.    wt: 1:   6 Unsigned Real Numbers
  906.    wt: 1:   5 Rational Numbers More
  907.    wt: 1:   4 Rational Numbers
  908.    wt: 1:   3 Fractions
  909.    wt: 1:   1 Whole and Natural Numbers
  910.    wt: 1:   3 Geometric Formulas and Function Notation
  911.    wt: 1:   2 Computation Rules Evaluation
  912.    wt: 1:   1 Formulas Dependence and Function Notation
  913.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  914.    wt: 1:   4 Circle Area Formula Example
  915.    wt: 1:   3 Triangle Area Formula Example
  916.    wt: 1:   2 Another Rectangle Area Formula Example
  917.    wt: 1:   1 Three Skills For Algebra
  918.    wt: 1:   About Folder Contents
  919.    wt: 1:   1 Squares and Square Roots Introduction
  920.    wt: 1:   13 GCD from given Prime Factorization
  921.    wt: 1:   7 GCD and LCM from prime factorization
  922.    wt: 1:   5 Common Divisors 60 45 via Prime
  923.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  924.    wt: 1:   1 Least Common Multiples LCM Introduction
  925.    wt: 1:   11 What are real lengths and numbers
  926.    wt: 1:   10 dividing signed numbers
  927.    wt: 1:   9 subtracting signed numbers
  928.    wt: 1:   8 multiplying signed numbers
  929.    wt: 1:   7 negative and additive inverse
  930.    wt: 1:   6 adding signed numbers
  931.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  932.    wt: 1:   3 Multiplying Units and Numbers
  933.    wt: 1:   21 Working With Signs
  934.    wt: 1:   18 Efficient Ways to Multiply
  935.    wt: 1:   17 Efficient Ways to Add and Subtract
  936.    wt: 1:   16 Addition Subtraction Comparision Compared
  937.    wt: 1:   13 Fraction Comparison Algebraic View
  938.    wt: 1:   12 Fraction Comparison
  939.    wt: 1:   A Associative Law Theorectical Note
  940.    wt: 1:   7 Multiplication by Signs
  941.    wt: 1:   6 Multiplication by Natural Numbers
  942.    wt: 1:   11 Efficient Square Rule Use
  943.    wt: 1:   3 video Primes and Composites from 9 times table
  944.    wt: 1:   D Decimal Multiplication Methods Derived
  945.    wt: 1:   B Powers of Ten
  946.    wt: 1:   6 Multiplication Commutes Order Not Important
  947.    wt: 1:   5 Decimal Fraction Multiplication
  948.    wt: 1:   4 Two and Three Digit Multipliers
  949.    wt: 1:   3 More One Digit Multipliers
  950.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  951.    wt: 1:   1 Why 3 times 5 gives 15
  952.    wt: 1:   11 Place Value SI Standard International way
  953.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  954.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  955.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  956.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  957.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  958.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  959.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  960.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  961.    wt: 1:   Formula Evaluation how to show work
  962.    wt: 1:   Expression Evaluation how to show work
  963.    wt: 1:   The 12 Times Table Visually
  964.    wt: 1:   016 Numbering Occidental Calendar Days
  965.    wt: 1:   015 School and work day counting tables
  966.    wt: 1:   014 Counting Days with Calendars
  967.    wt: 1:   010 Repeated Addition of Time Intervals
  968.    wt: 1:   7 Addition of Time Intervals
  969.    wt: 1:   6 How long is a million seconds
  970.    wt: 1:   2 Time and Date Matters in School
  971.    wt: 1:   Example 4 with x function of y
  972.    wt: 1:   Example 2
  973.    wt: 1:   Example 1
  974.    wt: 1:   Area Between Curves Lesson Take 1
  975.    wt: 1:   Summary
  976.    wt: 1:   3 Second derivative test
  977.    wt: 1:   2 Second derivative test prequel
  978.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  979.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  980.    wt: 1:   8 Four Animated Examples
  981.    wt: 1:   7 Evaluation by immediate or delayed substitution
  982.    wt: 1:   5 Jumps and absence of unlimited error control
  983.    wt: 1:   4 Numerical properties
  984.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  985.    wt: 1:   G.3 Constant Difference Theorem Proof
  986.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  987.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  988.    wt: 1:   F.5b Extreme Value Theorem
  989.    wt: 1:   F.2 Closed Range Theorem
  990.    wt: 1:   E2 Algebraic Properties of Limits
  991.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  992.    wt: 1:   B3 Bolzano Weierstrass Theorem
  993.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  994.    wt: 1:   Postscript More on Better Performance
  995.    wt: 1:   Postscript For Better Performance
  996.    wt: 1:   Foreword
  997.    wt: 1:   Postscript B Mathematics Education References
  998.    wt: 1:   Postscript A Three Remarks
  999.    wt: 1:   Foreword
  1000.    wt: 1:   O On Learning Mathematics and Science
  1001.    wt: 1:   M Words to extend arithmetic
  1002.    wt: 1:   L Skills with take home value
  1003.    wt: 1:   J. More on written work and showing skill
  1004.    wt: 1:   H Jigsaw puzzles and problem solving
  1005.    wt: 1:   F. The student teacher tutor feedback loop
  1006.    wt: 1:   E. When and how to correct errors
  1007.    wt: 1:   How to Build Skills and Confidence
  1008.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  1009.    wt: 1:   Chapter 6 More Algebra and Geometry
  1010.    wt: 1:   Chapter 3 Algebra Starter Lessons
  1011.    wt: 1:   Chapter 1 Arithmetic
  1012.    wt: 1:   7 Games and Activities for Instruction
  1013.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  1014.    wt: 1:   More Algebra and Slope based Calculus Preview
  1015.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1016.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1017.    wt: 1:   Which Way To Go
  1018.    wt: 16:   Chapter 19 What is in chapters 20 to 24
  1019.    wt: 12:   Chapter 9 What is in Chapters 10 to 18
  1020.    wt: 12:   Chapter 3 What is in chapters 4 to 8
  1021.    wt: 11:   Chapter 24 Direct and Indirect Reason
  1022.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1023.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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