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

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

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

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

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

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

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

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  1.    wt: 3:   Direct Current Electric Circuits/
  2.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/

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  1.    wt: 3:   4 Energy Power Heat09
  2.    wt: 2:   3 Energy Power Heat08
  3.    wt: 2:   2 Energy Power Heat07
  4.    wt: 2:   1 Energy Power Heat06
  5.    wt: 2:   E Energy Power05
  6.    wt: 2:   D Energy Power04
  7.    wt: 2:   C Energy Power03
  8.    wt: 2:   B Energy Power02
  9.    wt: 2:   A Energy Power01
  10.    wt: 1:   21 Logarithms Powers and Exponentials
  11.    wt: 1:   6 Power Set Notation
  12.    wt: 1:   C Counting Areas with Powers of Ten
  13.    wt: 1:   B Powers of Ten
  14.    wt: 1:   Video Power Notation in Decimal Expansion
  15.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  16.    wt: 1:   38 Formulas and derivatives for powers and roots
  17.    wt: 1:   21 Chain Rule for powers
  18.    wt: 1:   10 Power rule for negative integers
  19.    wt: 1:   6 Power rule from product rule
  20.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials

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851 matches:

  1.    wt: 7:   4 Energy Power Heat09
  2.    wt: 6:   3 Energy Power Heat08
  3.    wt: 6:   2 Energy Power Heat07
  4.    wt: 6:   1 Energy Power Heat06
  5.    wt: 6:   E Energy Power05
  6.    wt: 6:   D Energy Power04
  7.    wt: 6:   C Energy Power03
  8.    wt: 6:   B Energy Power02
  9.    wt: 6:   A Energy Power01
  10.    wt: 4:   2 Conductance Resistance Duality02
  11.    wt: 4:   1 Conductance Resistance Duality01
  12.    wt: 4:   F Wire Resistance Calculation04
  13.    wt: 4:   E Wire Resistance Calculation03
  14.    wt: 4:   D Wire Resistance Calculation02
  15.    wt: 4:   C Wire Resistance Calculation01
  16.    wt: 4:   B Wire Resistance Qualitative02
  17.    wt: 4:   A Wire Resistance Qualitative01
  18.    wt: 4:   3 Like resistors in parallel
  19.    wt: 4:   2 Unlike resistors in parallel01
  20.    wt: 4:   1 Like resistors in series
  21.    wt: 4:   H Series Circuit02
  22.    wt: 4:   G Series Circuit01
  23.    wt: 4:   F Unlike Resistors in Series
  24.    wt: 4:   E Kirchoffs Second Law
  25.    wt: 4:   D Kirchoff First Law
  26.    wt: 4:   C Electromotive force conventional current02
  27.    wt: 4:   B Electromotive force conventional current01
  28.    wt: 4:   A Circuit Elements
  29.    wt: 2:   11 Growth and Decay in Biology
  30.    wt: 2:   5 Natural Logarithm Calculator Exercises
  31.    wt: 2:   1 Calculator Starter Exercises
  32.    wt: 2:   C Counting Areas with Powers of Ten
  33.    wt: 2:   B Powers of Ten
  34.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  35.    wt: 2:   10 Power rule for negative integers
  36.    wt: 2:   6 Power rule from product rule
  37.    wt: 1:   Appendix 2 primary school Arithmetic 01
  38.    wt: 1:   Appendix 1 primary and preschool mathematic
  39.    wt: 1:   K LAMP Musings Science Education
  40.    wt: 1:   J LAMP Introduction Extrinsic Origins
  41.    wt: 1:   I LAMP Introduction Study Habits
  42.    wt: 1:   H LAMP Introduction Instructional Concepts
  43.    wt: 1:   G LAMP Introduction Problem Solving Skills
  44.    wt: 1:   F LAMP Introduction Prerequisites
  45.    wt: 1:   E LAMP Introduction Modern Mathematics
  46.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  47.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  48.    wt: 1:   A Introduction Objectives
  49.    wt: 1:   Skills Chapter 5 Calculus
  50.    wt: 1:   Skills Chapter 4 Logic
  51.    wt: 1:   Ramblings Extrinsic numbers theory
  52.    wt: 1:   Ramblings Introduction Algebra Essay
  53.    wt: 1:   Skills Chapter 3 Algebra
  54.    wt: 1:   Skills Chapter 2 Geometry
  55.    wt: 1:   Skills Chapter 1 Arithmetic
  56.    wt: 1:   Skills Chapter 0 Introduction
  57.    wt: 1:   11 pure mathematics
  58.    wt: 1:   10 statistics
  59.    wt: 1:   9 combinatorics probability sets
  60.    wt: 1:   8 analytic geometry etc
  61.    wt: 1:   7 logic review and decimals an odd combination
  62.    wt: 1:   6 polynomials etc
  63.    wt: 1:   5 logarithms and exponentials etc
  64.    wt: 1:   4 algebra
  65.    wt: 1:   3 Euclidean Geometry Leanly
  66.    wt: 1:   2 arithmetic with signed numbers
  67.    wt: 1:   1 arithmetic with unsigned numbers
  68.    wt: 1:   What is POMME
  69.    wt: 1:   why bother
  70.    wt: 1:   which way to go
  71.    wt: 1:   website reviews
  72.    wt: 1:   three goals to set for students
  73.    wt: 1:   Teach the teachers plus goals
  74.    wt: 1:   permissions for teachers
  75.    wt: 1:   Math Ed if it must be short make it lean effective
  76.    wt: 1:   Applied Maths Program14092009 POMME variant
  77.    wt: 1:   activities for students
  78.    wt: 1:   links Education Resources online
  79.    wt: 1:   site origins
  80.    wt: 1:   site eurekas
  81.    wt: 1:   About site lesson plans
  82.    wt: 1:   key notes and themes
  83.    wt: 1:   Mathematics Education Professors
  84.    wt: 1:   teacher certification
  85.    wt: 1:   modern education
  86.    wt: 1:   learning takes time
  87.    wt: 1:   grouping students according to ability
  88.    wt: 1:   what should be learnt and When
  89.    wt: 1:   mathematics in context
  90.    wt: 1:   Postscript 2007 01 10
  91.    wt: 1:   Education Reform Inconsistencies
  92.    wt: 1:   five decades make a difference
  93.    wt: 1:   Maps Plans Drawings
  94.    wt: 1:   how letters appear
  95.    wt: 1:   Secondary Three Mathematics
  96.    wt: 1:   Secondary Two Mathematics
  97.    wt: 1:   Secondary One Mathematics
  98.    wt: 1:   talk the algebra talk
  99.    wt: 1:   three difficulties
  100.    wt: 1:   teaching tips
  101.    wt: 1:   What to Tell Students
  102.    wt: 1:   mathematics curriculum shifts
  103.    wt: 1:   geometric implications for algebra
  104.    wt: 1:   teaching tutoring algebraic reason
  105.    wt: 1:   Lessening Algebra Difficulties
  106.    wt: 1:   the trouble with algebra
  107.    wt: 1:   three goals for Mathematics Education
  108.    wt: 1:   05 13 OldSiteEntrancePage
  109.    wt: 1:   04 29 New Mathematics Curriculum
  110.    wt: 1:   04 25 when to stop or suspend mathemat
  111.    wt: 1:   02 21 words for teachers
  112.    wt: 1:   02 20 mathematics education references
  113.    wt: 1:   three aims for mathematics students
  114.    wt: 1:   standards for course material
  115.    wt: 1:   Operational Viewpoint to Value
  116.    wt: 1:   formal or informal peer review
  117.    wt: 1:   Theory of Knowledge
  118.    wt: 1:   mathematics instruction in general
  119.    wt: 1:   Education in mathematics science and technology
  120.    wt: 1:   Different Kinds of Reasoning in maths
  121.    wt: 1:   three kinds of reason in mathematics
  122.    wt: 1:   cultivating intelligence
  123.    wt: 1:   Four ways to improve education reform
  124.    wt: 1:   How to be a better instructor
  125.    wt: 1:   Motivation and Context Problem
  126.    wt: 1:   need for a mixed mathematics curriculum
  127.    wt: 1:   Leaner mathematics curriculum
  128.    wt: 1:   Prequel In For A Penny In For A Pound
  129.    wt: 1:   education an empirical art
  130.    wt: 1:   fairness and inductive principles for instruction
  131.    wt: 1:   words for mathematics instructor
  132.    wt: 1:   chapitre 12 00 les iles et division
  133.    wt: 1:   chapitre 07 01 principle D induction mathematique
  134.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  135.    wt: 1:   chapitre 06 00 Chaines de la raison
  136.    wt: 1:   chapitre 05 00 Deception
  137.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  138.    wt: 1:   chapitre 04 09 Regles accidentelles
  139.    wt: 1:   chapitre 04 08 Limitations et benefices
  140.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  141.    wt: 1:   chapitre 04 06 engagements
  142.    wt: 1:   chapitre 04 05 Implication versus suggestion
  143.    wt: 1:   chapitre 04 04 Parlons de la logique
  144.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  145.    wt: 1:   chapitre 04 02 Deuxieme enigme
  146.    wt: 1:   chapitre 04 01 Premiere enigme
  147.    wt: 1:   chapitre 04 00 Les regles d implication
  148.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  149.    wt: 1:   chapitre 02 00 La Communication des idees
  150.    wt: 1:   chapitre 01 00 Introduction
  151.    wt: 1:   liens
  152.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  153.    wt: 1:   problemes responses
  154.    wt: 1:   problemes algebre et arithmetique
  155.    wt: 1:   Trois Notions qui menent a algebre
  156.    wt: 1:   deux definitions pour variable
  157.    wt: 1:   logique deux enigme
  158.    wt: 1:   Home Tutoring and Home Schooling
  159.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  160.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  161.    wt: 1:   24 Standards For Skill Develoment Take II
  162.    wt: 1:   24 Standards For Skill Develoment
  163.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  164.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  165.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  166.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  167.    wt: 1:   22 Student Centered Highschool Mathematics
  168.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  169.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  170.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  171.    wt: 1:   18 Primary School Mathematics
  172.    wt: 1:   17 Math Booklets for children and young teenagers
  173.    wt: 1:   16 Secondary Mathematics Tips
  174.    wt: 1:   15 Counting For Parents
  175.    wt: 1:   14 Multiplication and Times Tables
  176.    wt: 1:   13 Addition and Addition Tables
  177.    wt: 1:   12 Goals and Objectives For Mathematics
  178.    wt: 1:   11 Help and Defend Your Child or Teens Education
  179.    wt: 1:   10 Ends values for work study instruction
  180.    wt: 1:   9 Streaming by Student Cooperation
  181.    wt: 1:   8 The Effect of Negative Remarks
  182.    wt: 1:   7 Student Motivation
  183.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  184.    wt: 1:   5 Patience Please for Yourself and Your Charges
  185.    wt: 1:   4 Learning Takes Time and Effort
  186.    wt: 1:   3 Preparing for Science Studies
  187.    wt: 1:   2 Reading and Writing Skills
  188.    wt: 1:   1 Speaking Skills
  189.    wt: 1:   Ages 8 to 9
  190.    wt: 1:   Ages 7 to 8
  191.    wt: 1:   Ages 6 to 7
  192.    wt: 1:   Ages 4 plus to 5 plus
  193.    wt: 1:   Ages 3 plus to 4 plus
  194.    wt: 1:   sign monoticity analysis example 4
  195.    wt: 1:   sign monoticity analysis example 3
  196.    wt: 1:   sign monoticity analysis example 2
  197.    wt: 1:   sign monoticity analysis example 1
  198.    wt: 1:   26 Function definitions done and coming
  199.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  200.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  201.    wt: 1:   23 Inverse Functions
  202.    wt: 1:   22 Square Root function graphically
  203.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  204.    wt: 1:   20 Interchanging coordinates a reflection
  205.    wt: 1:   19 Horizontal line rule and method
  206.    wt: 1:   18 Vertical Line Rule and Method
  207.    wt: 1:   17 Function maxima minima and their location
  208.    wt: 1:   16 Increasing or decreasing on intervals
  209.    wt: 1:   15 Sign analysis of functions
  210.    wt: 1:   14 Surjections Injections Bijections
  211.    wt: 1:   13 From one to one to many to one
  212.    wt: 1:   12 Function Domain Recognition Exercises
  213.    wt: 1:   11 Function Domain Range Source and Targets
  214.    wt: 1:   10 Interval Notation
  215.    wt: 1:   9 Set theory term relation possible origins
  216.    wt: 1:   8 Set view of relations and functions
  217.    wt: 1:   7 Functions with finite domains
  218.    wt: 1:   6 Set Existence Formation and Notation
  219.    wt: 1:   5 Function notation for geometric transformations
  220.    wt: 1:   4 Function notation in and beyond mathematics
  221.    wt: 1:   3 Formula or function graphing exercise
  222.    wt: 1:   2 Algebraic use of function notation
  223.    wt: 1:   1 Geometric Introduction of Function Notation
  224.    wt: 1:   Introduction Reading Guide
  225.    wt: 1:   10 quadratic exercises
  226.    wt: 1:   9 quadratics physical and further context
  227.    wt: 1:   8 quadratics backward use of various formulas
  228.    wt: 1:   6 quadratics numerical approach
  229.    wt: 1:   4 quadratics difference of two squares
  230.    wt: 1:   1 quadratics graphing exercises
  231.    wt: 1:   Quadratics in 10 steps
  232.    wt: 1:   10 Exponential Growth and Decay Models
  233.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  234.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  235.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  236.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  237.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  238.    wt: 1:   2 Square Root Simplification a prequel
  239.    wt: 1:   8 Notes for instructors or tutors
  240.    wt: 1:   7 Links Lessons Elsewhere
  241.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  242.    wt: 1:   4 Polynomials Long division linear divisor
  243.    wt: 1:   3 Polynomials Multiplication Addition
  244.    wt: 1:   2 Column Multiplication Method
  245.    wt: 1:   1 Polynomials Distributive Law
  246.    wt: 1:   Rewriting algebraic substitution as function substitutions
  247.    wt: 1:   16 cotangent function Definition Graph and Inverse
  248.    wt: 1:   15 cosecant function Definition Graph and Inverse
  249.    wt: 1:   14 secant function Definition Graph and Inverse
  250.    wt: 1:   13 cosecant function Definition Graph and Inverse
  251.    wt: 1:   12 motivation for term arctan
  252.    wt: 1:   11 arctan left inverse of tangent Graph
  253.    wt: 1:   10 arctan left inverse of tangent Definition
  254.    wt: 1:   9 motivation for name arcsin
  255.    wt: 1:   8 arcsin left inverse of sine Graph
  256.    wt: 1:   7 arcsin left inverse of sine Definition
  257.    wt: 1:   6 Graph of arccos function
  258.    wt: 1:   5 Swapping Coordinates is a reflection
  259.    wt: 1:   4 possible motivation for term arccos
  260.    wt: 1:   3 Left Inverse of cosine arccos definition
  261.    wt: 1:   2 cosine function more properties
  262.    wt: 1:   1 cosine function properties
  263.    wt: 1:   9 Summary Degrees to Radians and back
  264.    wt: 1:   8 Radian Measures of Common Angles
  265.    wt: 1:   7 Radian Measures in special Triangles
  266.    wt: 1:   6 Radian Measure to Degrees
  267.    wt: 1:   5 Degrees to Radian Measure
  268.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  269.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  270.    wt: 1:   A Global Time and Navigation
  271.    wt: 1:   15 Dot and Cross Product
  272.    wt: 1:   13 Velocity Vectors in Physics
  273.    wt: 1:   12 From Applied To Pure Mathematics
  274.    wt: 1:   11 Component Method
  275.    wt: 1:   10 Parallelogram Addition Method
  276.    wt: 1:   9 Head to Tail Coordinate View
  277.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  278.    wt: 1:   6 Vectors with Coordinates
  279.    wt: 1:   5 Head To Tail Arrow Addition
  280.    wt: 1:   4 Resultant of a Sum of Movements
  281.    wt: 1:   3 Navigation with Arrows or Vectors
  282.    wt: 1:   2 Signed Coordinates
  283.    wt: 1:   1 Unsigned Coordinates
  284.    wt: 1:   Vector and Complex Number Applet
  285.    wt: 1:   4 graphing y=Asin(x c)
  286.    wt: 1:   3 graphing y=f(x c) plus K
  287.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  288.    wt: 1:   1 graphing y=f(x a)
  289.    wt: 1:   Parallel Lines and Parallel Transversals
  290.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  291.    wt: 1:   Triangle Angles Sum To 180 Degrees
  292.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  293.    wt: 1:   Parallel Lines and Interior Angles
  294.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  295.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  296.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  297.    wt: 1:   Straight Lines ASA Intersection Study More
  298.    wt: 1:   Straight Lines ASA Intersection Study
  299.    wt: 1:   Straight Lines Instersection Solving Equations
  300.    wt: 1:   Straight Lines Intersection of
  301.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  302.    wt: 1:   C Straight Lines Slope from Coordinates
  303.    wt: 1:   B Straight Line Slope Scaling Properties More
  304.    wt: 1:   A Straight Line Slope Scaling Properties
  305.    wt: 1:   14 Straight Lines Equations General Case
  306.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  307.    wt: 1:   12 Straight Lines Graphing mx plus b
  308.    wt: 1:   11 Straight Lines Graphing y=mx
  309.    wt: 1:   10 Straight Lines through Origin Equations More
  310.    wt: 1:   9 Straight Lines through Origin Equations
  311.    wt: 1:   8 Straight Lines Equation for vertical
  312.    wt: 1:   7 Tangent Function is odd on this domain
  313.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  314.    wt: 1:   5 Tangent Function Graph
  315.    wt: 1:   4 Tangent Function Properties
  316.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  317.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  318.    wt: 1:   1 Straight Lines Slope Concept
  319.    wt: 1:   17 tangent function angle sum formulas
  320.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  321.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  322.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  323.    wt: 1:   32 seven rows of pascals triangle
  324.    wt: 1:   31 basic secant cosecant cotangent trig identities
  325.    wt: 1:   30 unit circle calculation of six trigonometric functions
  326.    wt: 1:   29 secant cosecant and cotangent for acute angles
  327.    wt: 1:   28 Expressing products of sines cosines as sums
  328.    wt: 1:   27 Logarithmic use of products of sines and cosines
  329.    wt: 1:   26 Formulas for products of sines and cosines
  330.    wt: 1:   25 tangent double angle formula Slope connection
  331.    wt: 1:   24 tangent Angle Difference Formula
  332.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  333.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  334.    wt: 1:   21 sine and cosine Half Angle Formulas
  335.    wt: 1:   20 sine and cosine Double Angle Formulas
  336.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  337.    wt: 1:   18 sum of sinusoidal waves as a single wave
  338.    wt: 1:   16 Right Triangle Complementary Angle Relations
  339.    wt: 1:   15 sine cosine Complementary Angle Relations
  340.    wt: 1:   14 cosine even and sine and tangent are odd
  341.    wt: 1:   13 Graph of tangent function many periods
  342.    wt: 1:   12 Graph of tangent function for one period
  343.    wt: 1:   11 tangent function undefined when terminal side vertical
  344.    wt: 1:   10 Graphs of sines and cosines many periods
  345.    wt: 1:   9 Graphs of sine and cosine over one period
  346.    wt: 1:   8 period of tangent function
  347.    wt: 1:   7 period of sine and cosine
  348.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  349.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  350.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  351.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  352.    wt: 1:   2 Quadrant I reference Angles
  353.    wt: 1:   1 Unit Points Reflections Rotations
  354.    wt: 1:   Unit Circle Development of Trigonometry
  355.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  356.    wt: 1:   21 Logarithms Powers and Exponentials
  357.    wt: 1:   19 N th Roots of Unity
  358.    wt: 1:   18 Sixth Roots of Unity
  359.    wt: 1:   17 Cube Roots of unity
  360.    wt: 1:   16 References and Originality Question
  361.    wt: 1:   8 Unit Circle Development of Trigonometry
  362.    wt: 1:   6 Field Properties of Complex Number
  363.    wt: 1:   4 Multiplication Properties
  364.    wt: 1:   3 Addition Properties
  365.    wt: 1:   1 Rectangular Polar Coordinates Review
  366.    wt: 1:   Appetizer A Complex Number Applet
  367.    wt: 1:   8 Triangles Cascade Problem Solving
  368.    wt: 1:   7 Trignometric Ratios Unit Circle
  369.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  370.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  371.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  372.    wt: 1:   3 Trigonometric Ratios sine and cosine
  373.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  374.    wt: 1:   1 Angle Measurement with Degrees
  375.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  376.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  377.    wt: 1:   12 Triangles Similarity More Problems
  378.    wt: 1:   11 Triangle Similarity Missing Side Problem
  379.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  380.    wt: 1:   9 Similarity of Triangles Usual Criteria
  381.    wt: 1:   8 Similarity of Triangles and Polygons
  382.    wt: 1:   7 Translations Rotations Reflections Dilatations
  383.    wt: 1:   6 Geometric Diagrams in Class
  384.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  385.    wt: 1:   4 Similarity Definition with Coordinate
  386.    wt: 1:   3 Similarity by Design with coordinates
  387.    wt: 1:   2 Similarity By Design
  388.    wt: 1:   1 Early Concept of Like or Similar Shapes
  389.    wt: 1:   Four Simple Exercises
  390.    wt: 1:   12 Links Lessons elsewhere
  391.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  392.    wt: 1:   8 Mid Point Formula
  393.    wt: 1:   7 Exercises to test skill and concept mastery
  394.    wt: 1:   6 Intersection of lines by solving linear systems
  395.    wt: 1:   5 Algebraic View of Slopes
  396.    wt: 1:   2 point slope equation for a line
  397.    wt: 1:   1 Numerical view of lines and their equations
  398.    wt: 1:   What is and is not here
  399.    wt: 1:   13 Pythagorean spatial distance formulas
  400.    wt: 1:   12 Spatial Coordinates
  401.    wt: 1:   11 Triangle Inequality
  402.    wt: 1:   10 Pythagorean plane distance formula
  403.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  404.    wt: 1:   7 Complex Numbers Appetizer
  405.    wt: 1:   6 Polar Multiplication and Rotation
  406.    wt: 1:   5 Cartesian Addition and Translation
  407.    wt: 1:   4 Polar Coordinates to and from
  408.    wt: 1:   3 Rectangular Coordinates Review
  409.    wt: 1:   2 Cartesian Coordinates with signs
  410.    wt: 1:   1 Cartesian Coordinates sans signs
  411.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  412.    wt: 1:   PS H Distributive Law For Complex Numbers
  413.    wt: 1:   PS G Rotation Distributes over Addition
  414.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  415.    wt: 1:   PS E Multiplication with Polar Coordinates
  416.    wt: 1:   PS D Addition with Cartesian Coordinates
  417.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  418.    wt: 1:   PS B Parallelogram Construction Methods
  419.    wt: 1:   PS A Kite Construction Methods
  420.    wt: 1:   21 Parallelograms
  421.    wt: 1:   19 Right Triangle Similarity
  422.    wt: 1:   18 Triangle Similarity Take 1
  423.    wt: 1:   17 Right Bisectors of Triangle Sides
  424.    wt: 1:   16 Angles Subtended By Chords and Diameters
  425.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  426.    wt: 1:   14 Parallel Lines Postulate
  427.    wt: 1:   13 Angle Side Angle Failure
  428.    wt: 1:   12 Side Angle Side Failure
  429.    wt: 1:   11 Triangle Construction Fails
  430.    wt: 1:   10 Dropping a perpendicular to line
  431.    wt: 1:   9 Construction of a right bisector
  432.    wt: 1:   8 Isoceles Triangles
  433.    wt: 1:   7 Angle Side Angle
  434.    wt: 1:   6 Ruler and compass Angle Bisection
  435.    wt: 1:   5 Side Angle Side
  436.    wt: 1:   4 Side Side Side
  437.    wt: 1:   3 Isometry of Triangles Congruence
  438.    wt: 1:   2 Correspondence between Triangles
  439.    wt: 1:   1 Initial Concepts and Terms
  440.    wt: 1:   Short Course on Euclidean Geometry
  441.    wt: 1:   A Measurement with Ruler Proper Use
  442.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  443.    wt: 1:   6 Figuring with Maps Not to Scale
  444.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  445.    wt: 1:   4 Angles on Maps Plans drawn to scale
  446.    wt: 1:   3 Lengths and Areas on Maps and Plans
  447.    wt: 1:   2 Measuring Area Directly
  448.    wt: 1:   1 Length Measurement
  449.    wt: 1:   About Folder Contents
  450.    wt: 1:   musings do not puiblish real numbers
  451.    wt: 1:   A Modular and Remainder Arithmetic
  452.    wt: 1:   A Signed Number Arithmetic Review
  453.    wt: 1:   26 More Less Greater Than Comparison
  454.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  455.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  456.    wt: 1:   23 Distributive Law Two Derivations
  457.    wt: 1:   22 Multiplication of Signed Numbers
  458.    wt: 1:   21 Addition of Multiples of a Single Vector
  459.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  460.    wt: 1:   19 Signed Multiples of Vectors
  461.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  462.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  463.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  464.    wt: 1:   15 Head to Tails in place Addition Associative
  465.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  466.    wt: 1:   13 Arrows and Vectors in a Plane
  467.    wt: 1:   12 Real Numbers Line Signed Coordinates
  468.    wt: 1:   11 Signed Number Addition and Addition Properties
  469.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  470.    wt: 1:   9 Division with Digits after Decimal Point
  471.    wt: 1:   8 Division and Mulplication of Compound Fractions
  472.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  473.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  474.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  475.    wt: 1:   4 Location of Point in Decimal Addition
  476.    wt: 1:   3 Location of Point in Decimal Multiplication
  477.    wt: 1:   2 Counting Digits in Decimal Multiplication
  478.    wt: 1:   1 Fractions with Finite Decimal Expansions
  479.    wt: 1:   E Long Division Methods more
  480.    wt: 1:   D Long Division Methods
  481.    wt: 1:   C Three Decimal Subtraction Methods
  482.    wt: 1:   B Decimal Comparison and Subtraction
  483.    wt: 1:   A Decimal Addition Columm Methods
  484.    wt: 1:   8 Column Multiplication Methods in General
  485.    wt: 1:   7 Decimals Multiplication Methods Examples
  486.    wt: 1:   6 Column Methods for Decimal Multiplication
  487.    wt: 1:   5 Distributive Law for Whole Numbers
  488.    wt: 1:   4 Commutative Law Groups Counting Form
  489.    wt: 1:   3 Multiplicative Counting Skills Principles
  490.    wt: 1:   2 Combing Counts Addition Skills and Principles
  491.    wt: 1:   1 The Counting Origins of Numbers
  492.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  493.    wt: 1:   5 Proportionality in Equivalent Fractions
  494.    wt: 1:   4 Rates Ratios and Proporitionality
  495.    wt: 1:   3 Proportionality Examples
  496.    wt: 1:   2 Algebraic View
  497.    wt: 1:   1 What is Proportionality
  498.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  499.    wt: 1:   6 Compound Interest Forward and Backwards
  500.    wt: 1:   3 Linear Equation Literal Solution More
  501.    wt: 1:   2 Linear Equation Literal Solution
  502.    wt: 1:   5 Greater More Less Than Signs in General
  503.    wt: 1:   4 Comparison of Negative Numbers
  504.    wt: 1:   3 More and Less Than with Unlike Signs
  505.    wt: 1:   2 More and Less Than for Counts and Measures
  506.    wt: 1:   12 Real Number Additive Inverses or Negatives
  507.    wt: 1:   10 Real Number Lengths and Signs
  508.    wt: 1:   9 Coordinates for Regions in Space
  509.    wt: 1:   5 Independent versus Dependent Variables
  510.    wt: 1:   More Exercises
  511.    wt: 1:   Simple Exercises
  512.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  513.    wt: 1:   4 GE III Animated Examples
  514.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  515.    wt: 1:   3 GE III Equation Addition and Multiplication
  516.    wt: 1:   2 GE II Comparison
  517.    wt: 1:   1 GE Substitution four examples
  518.    wt: 1:   4 Solving a triangular system exercise
  519.    wt: 1:   3 Solving triangular system example
  520.    wt: 1:   2 Essentially one exercises three with solution
  521.    wt: 1:   1 Essentially One Unknown
  522.    wt: 1:   6 Algebraic Solution Example
  523.    wt: 1:   5 Algebraic Solutions Introduction
  524.    wt: 1:   4 Four Examples Fractional Coefficients
  525.    wt: 1:   3 Four Examples
  526.    wt: 1:   2 Three Examples
  527.    wt: 1:   Skill Development Notes
  528.    wt: 1:   10 One Example
  529.    wt: 1:   9 Three Examples
  530.    wt: 1:   8 One Example
  531.    wt: 1:   7 Two Examples
  532.    wt: 1:   6 Three Examples
  533.    wt: 1:   5 Three Examples
  534.    wt: 1:   4 Two Examples
  535.    wt: 1:   3 Two Examples
  536.    wt: 1:   2 Three Examples
  537.    wt: 1:   Using Letters for Physical Quantities
  538.    wt: 1:   13 Naming Identifying Formulas with Words
  539.    wt: 1:   11 Volume of Sphere
  540.    wt: 1:   10 Volume of Pyramid
  541.    wt: 1:   9 Volume of Cone
  542.    wt: 1:   8 Compound Interest Formula Evaluation
  543.    wt: 1:   7 Compound Interest Formula Introduction
  544.    wt: 1:   9 Sets in Probability and Statistics
  545.    wt: 1:   7 Cautious or Safe Set Construction
  546.    wt: 1:   6 Power Set Notation
  547.    wt: 1:   2 Venn Diagrams
  548.    wt: 1:   6 Three Notions of What is a Variable
  549.    wt: 1:   4 A Brief Story of numbers and algebra
  550.    wt: 1:   3 Adding Words To Arithmetic
  551.    wt: 1:   2 What is a Variable
  552.    wt: 1:   About Folder Contents
  553.    wt: 1:   arithmetic videos Real Player Format
  554.    wt: 1:   4 Greater More Less Than Signs in General
  555.    wt: 1:   3 Comparison of Negative Numbers
  556.    wt: 1:   2 More and Less Than with Unlike Signs
  557.    wt: 1:   1 More and Less Than for Counts and Measures
  558.    wt: 1:   7 negative and additive inverse
  559.    wt: 1:   6 adding signed numbers
  560.    wt: 1:   5 lengths and signs of numbers
  561.    wt: 1:   4 signed coordinates for regions in space
  562.    wt: 1:   7 Converting or Changing Units
  563.    wt: 1:   6 Simplification of Fractions with Units
  564.    wt: 1:   4 Fractions with Units
  565.    wt: 1:   3 Multiplying Units and Numbers
  566.    wt: 1:   2 Equality and Units
  567.    wt: 1:   1 Addition and Subtraction with Units
  568.    wt: 1:   D Three Term Ratios
  569.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  570.    wt: 1:   B Fractions and Two Term Ratios
  571.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  572.    wt: 1:   21 Working With Signs
  573.    wt: 1:   21 Reciprocals for Fractions and Wholes
  574.    wt: 1:   20 Dividing Fractions the Why
  575.    wt: 1:   19 Dividing Fractions How TO
  576.    wt: 1:   18 Efficient Ways to Multiply
  577.    wt: 1:   17 Efficient Ways to Add and Subtract
  578.    wt: 1:   16 Addition Subtraction Comparision Compared
  579.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  580.    wt: 1:   14 Adding and Subtracting with Like Denominators
  581.    wt: 1:   13 Fraction Comparison Algebraic View
  582.    wt: 1:   12 Fraction Comparison
  583.    wt: 1:   11 Simplification an Algebraic View
  584.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  585.    wt: 1:   9 Improper Fractions and Mixed Numbers
  586.    wt: 1:   8 Numerals Fractionals Quantals Take II
  587.    wt: 1:   7 Numerals Fractionals Quantals
  588.    wt: 1:   6 Multiplication Algebraically Take II
  589.    wt: 1:   5 Equivalent Fractions
  590.    wt: 1:   4 Fraction Multiplication
  591.    wt: 1:   3 Unit fraction of a fraction
  592.    wt: 1:   2 Unit Fraction Multiplication
  593.    wt: 1:   1 What is a fraction Take II
  594.    wt: 1:   1 What is a fraction
  595.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  596.    wt: 1:   B Integer Long Division Multiple Choices
  597.    wt: 1:   A Associative Law Theorectical Note
  598.    wt: 1:   12 Adding Integers More Examples
  599.    wt: 1:   11 Adding Integers Formulas and Examples
  600.    wt: 1:   9 Multiplying Integers
  601.    wt: 1:   8 Multiplication by Signed Numbers Integers
  602.    wt: 1:   7 Multiplication by Signs
  603.    wt: 1:   6 Multiplication by Natural Numbers
  604.    wt: 1:   5 Zero Movement and Additive Inverses
  605.    wt: 1:   4 Adding Movements wiht opposite directions
  606.    wt: 1:   3 Adding Movements with same direction
  607.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  608.    wt: 1:   1 Integers as Coordinates
  609.    wt: 1:   20 Uniqueness of Prime Factorization
  610.    wt: 1:   17 Identify and Count Factors using Primes
  611.    wt: 1:   12 LCD GCD and LCM using Primes
  612.    wt: 1:   11 Efficient Square Rule Use
  613.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  614.    wt: 1:   2 Prime and Composites less than 16
  615.    wt: 1:   12 Why Long Division Works Take III
  616.    wt: 1:   11 Another Single Digit Divisor Example
  617.    wt: 1:   10 Division by Five Long and Short Ways
  618.    wt: 1:   9 Why Long Division Works Take II
  619.    wt: 1:   8 Correcting the Mistake
  620.    wt: 1:   7 Long Divison Mistake Catching
  621.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  622.    wt: 1:   5 Long Division Include Zeroes or not
  623.    wt: 1:   4 Division with 2 Digit Divsors
  624.    wt: 1:   3 Division Single Digit Divisor Example
  625.    wt: 1:   2 Division with Single Digit Divisors
  626.    wt: 1:   1 Divsion Physical Examples
  627.    wt: 1:   D Decimal Multiplication Methods Derived
  628.    wt: 1:   A Elementary Basis for Multiplication Methods
  629.    wt: 1:   6 Multiplication Commutes Order Not Important
  630.    wt: 1:   4 Two and Three Digit Multipliers
  631.    wt: 1:   3 More One Digit Multipliers
  632.    wt: 1:   2 One Digit Multipliers
  633.    wt: 1:   Video Power Notation in Decimal Expansion
  634.    wt: 1:   1 Why 3 times 5 gives 15
  635.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  636.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  637.    wt: 1:   9 22 Minute Subtraction Review Video
  638.    wt: 1:   8 Subtraction with Units of Measure
  639.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  640.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  641.    wt: 1:   5 A Tip for Efficent Subtraction
  642.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  643.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  644.    wt: 1:   2 Subtraction Easy Case Examples
  645.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  646.    wt: 1:   8 What skills and work habits to require
  647.    wt: 1:   7 Adding decimal fractions using decimal point
  648.    wt: 1:   6. Counting and adding units and mixed units
  649.    wt: 1:   5. How to add decimals C. Examples
  650.    wt: 1:   4. How to add with decimals B with conversions
  651.    wt: 1:   3. How to add with decimals A sans conversions
  652.    wt: 1:   2 Decimal Counting Practices
  653.    wt: 1:   1. Explaining Addition Table
  654.    wt: 1:   11 Place Value SI Standard International way
  655.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  656.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  657.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  658.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  659.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  660.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  661.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  662.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  663.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  664.    wt: 1:   Quick history of numbers and algebra
  665.    wt: 1:   Exact Arithmetic Wholes and Fractions
  666.    wt: 1:   The 20 Times Table
  667.    wt: 1:   The 12 Times Table Visually
  668.    wt: 1:   About folder contents
  669.    wt: 1:   016 Numbering Occidental Calendar Days
  670.    wt: 1:   015 School and work day counting tables
  671.    wt: 1:   014 Counting Days with Calendars
  672.    wt: 1:   013 Travel Time Tables
  673.    wt: 1:   012 Division of Time Intervals by Time Intervals
  674.    wt: 1:   011 Division of Time Intervals By Numbers
  675.    wt: 1:   010 Repeated Addition of Time Intervals
  676.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  677.    wt: 1:   8 Addition of Time Intervals via subtotaling
  678.    wt: 1:   7 Addition of Time Intervals
  679.    wt: 1:   5 Conversion Arithmetic
  680.    wt: 1:   4 Mixing and Changing Units of Time
  681.    wt: 1:   3 Units and Lengths of Time
  682.    wt: 1:   2 Time and Date Matters in School
  683.    wt: 1:   1 Intro of Kids To Time Date Skills
  684.    wt: 1:   A Related Material in Volume 3
  685.    wt: 1:   5 Area Under Curve Exercise
  686.    wt: 1:   A Related lessons in Volume 3
  687.    wt: 1:   3 Second derivative test
  688.    wt: 1:   2 Second derivative test prequel
  689.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  690.    wt: 1:   A Chain Rule Real Player video examples
  691.    wt: 1:   38 Formulas and derivatives for powers and roots
  692.    wt: 1:   36 Cube root derivative animated
  693.    wt: 1:   33 Chain Rule Real Player video examples
  694.    wt: 1:   30Chain Rule A Proof
  695.    wt: 1:   29 Chain Rule Optional Reading
  696.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  697.    wt: 1:   25 Chain Rule Animated Examples Continued
  698.    wt: 1:   24 Chain Rule Animated Examples
  699.    wt: 1:   21 Chain Rule for powers
  700.    wt: 1:   20 Chain Rule for Pulley Systems
  701.    wt: 1:   18 Chain Rule Introduction
  702.    wt: 1:   17 Derivatives of quotients of sine and cosine
  703.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  704.    wt: 1:   12 Quotient rule examples
  705.    wt: 1:   11 Quotient rule
  706.    wt: 1:   9 Reciprocal rule
  707.    wt: 1:   7 Animated Differentiation Examples
  708.    wt: 1:   5 Product Rule
  709.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  710.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  711.    wt: 1:   11 Limits at infinity Three Examples
  712.    wt: 1:   10 Three one sided limits with infinite values
  713.    wt: 1:   9 Limits Continuity and Composition
  714.    wt: 1:   8 Four Animated Examples
  715.    wt: 1:   7 Evaluation by immediate or delayed substitution
  716.    wt: 1:   3 Decimal insights for limits continuity convergence
  717.    wt: 1:   2 Algebraic codification
  718.    wt: 1:   1 Numerical introduction
  719.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  720.    wt: 1:   PostScript For and Against Decimal Perspectives
  721.    wt: 1:   A1. Introduction
  722.    wt: 1:   index
  723.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  724.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  725.    wt: 1:   Chapter 23 Links To Trigonometry
  726.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  727.    wt: 1:   Chapter 13. Acceleration
  728.    wt: 1:   Chapter 12. Units and Slopes
  729.    wt: 1:   Chapter 11. Graphing Slope versus Position
  730.    wt: 1:   Chapter 10 Slopes and Units
  731.    wt: 1:   Chapter 9 About First Courses in Calculus
  732.    wt: 1:   Chapter 8. Slope Interpretation
  733.    wt: 1:   Chapter 7 Slopes and Velocity
  734.    wt: 1:   Chapter 5. Slope Sign Tests
  735.    wt: 1:   Chapter 3. Slope Sign Analysis
  736.    wt: 1:   Chapter 1.Introduction
  737.    wt: 1:   Fall 1983 Calculus Appetizer
  738.    wt: 1:   Foreword
  739.    wt: 1:   Postscript More on Better Performance
  740.    wt: 1:   Postscript For Better Performance
  741.    wt: 1:   Appendix E. How To Study Mathematics and Why
  742.    wt: 1:   Appendix D. What to do in School and Why
  743.    wt: 1:   Appendix C. How to Read
  744.    wt: 1:   Appendix B. How To Learn
  745.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  746.    wt: 1:   Chapter 31 Direct and Indirect Reason
  747.    wt: 1:   Chapter 30 Truth Tables
  748.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  749.    wt: 1:   Chapter 28 Occurrence Tables
  750.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  751.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  752.    wt: 1:   Chapter 25. Mathematical Induction Examples
  753.    wt: 1:   Chapter 21. Third Reading Guide
  754.    wt: 1:   Chapter 19. Functions and Sets
  755.    wt: 1:   Chapter 18. Rules for Algebra
  756.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  757.    wt: 1:   Chapter 16. Painless Theorem Proving
  758.    wt: 1:   Chapter 15. Solving Linear Equations
  759.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  760.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  761.    wt: 1:   Chapter 13. Second Reading Guide
  762.    wt: 1:   Chapter 12. Shorthand Usage Guide
  763.    wt: 1:   Chapter 11. Why Shorthand
  764.    wt: 1:   Chapter 10 Describing and Changing Calculations
  765.    wt: 1:   Postscript What is a Variable
  766.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  767.    wt: 1:   Solutions For Arithmetic Exercises
  768.    wt: 1:   Chapter 6 Change of Language
  769.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  770.    wt: 1:   Chapter 4 Longer Chains of Reason
  771.    wt: 1:   Chapter 3 Chains of Reason
  772.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  773.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  774.    wt: 1:   Foreword
  775.    wt: 1:   Annotated Links to Material Elsehwere
  776.    wt: 1:   Postscript B Mathematics Education References
  777.    wt: 1:   Postscript A Three Remarks
  778.    wt: 1:   Chapter 12 Four Phases
  779.    wt: 1:   Chapter 11 Elementary Instruction
  780.    wt: 1:   Chapter 10 Transition
  781.    wt: 1:   Chapter 9 The Two Ends
  782.    wt: 1:   Chapter 8 Modern Instruction
  783.    wt: 1:   Chapter 7 Two Treatments of Geometry
  784.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  785.    wt: 1:   Chapter 5 Four References
  786.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  787.    wt: 1:   Chapter 3 Algebra Difficulties
  788.    wt: 1:   Chapter 2 For and Against Mathematics
  789.    wt: 1:   Chapter 1 Introduction
  790.    wt: 1:   Foreword
  791.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  792.    wt: 1:   Postscript C Consistency as a Tool for Reason
  793.    wt: 1:   Postscript B More on Story Telling and Reason
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 24 Direct and Indirect Reason
  796.    wt: 1:   Chapter 23 Truth Tables
  797.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  798.    wt: 1:   Chapter 21 Occurrence Tables
  799.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  800.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  801.    wt: 1:   Chapter 18 Sense and Knowledge
  802.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  803.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  804.    wt: 1:   Chapter 15 Objective Processes
  805.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  806.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  807.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  808.    wt: 1:   Chapter 11 Accidental Patterns
  809.    wt: 1:   Chapter 10 Responsibility
  810.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  811.    wt: 1:   Chapter 8 Change of Language
  812.    wt: 1:   Chapter 7 Longer Chains of Reason
  813.    wt: 1:   Chapter 6 Chains of Reason
  814.    wt: 1:   Chapter 5 Deception
  815.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  816.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  817.    wt: 1:   Chapter 2 Skill Development
  818.    wt: 1:   Chapter 1 Introduction
  819.    wt: 1:   Three Remarks
  820.    wt: 1:   Foreword
  821.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  822.    wt: 1:   S Adding words to algebra
  823.    wt: 1:   R Why Learn Mathematics Skills
  824.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  825.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  826.    wt: 1:   O On Learning Mathematics and Science
  827.    wt: 1:   N Mathematics Prepare for College Studies
  828.    wt: 1:   M Words to extend arithmetic
  829.    wt: 1:   L Skills with take home value
  830.    wt: 1:   J. More on written work and showing skill
  831.    wt: 1:   I. Logic and language skills
  832.    wt: 1:   H more Routine to non routine problem solving
  833.    wt: 1:   H Jigsaw puzzles and problem solving
  834.    wt: 1:   F. The student teacher tutor feedback loop
  835.    wt: 1:   E. When and how to correct errors
  836.    wt: 1:   D. Check work a must with a caution
  837.    wt: 1:   C. Domino effect of being careful
  838.    wt: 1:   B. Domino effect of errors
  839.    wt: 1:   A. Skill has to be seen to believed
  840.    wt: 1:   How to Build Skills and Confidence
  841.    wt: 1:   Helping the Blind in Logic and Mathematics
  842.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  843.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  844.    wt: 1:   Implementation Notes
  845.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  846.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  847.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  848.    wt: 1:   Which Way To Go
  849.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  850.    wt: 1:   Road Safety Questions
  851.    wt: 1:   Site Reviews

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Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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

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

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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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