Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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

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

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

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

Welcome:Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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: 4:   Mathematics Education Essays/
  2.    wt: 4:   10 Intersecting Straight Lines and Transversals/
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  4.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  5.    wt: 3:   Step 4 Gaussian Elimination/
  6.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  7.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 3:   Step 1 Stick diagram and fractions/
  9.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
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  11.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  12.    wt: 2:   4 Functions/
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  14.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  15.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  16.    wt: 2:   13 Vectors/
  17.    wt: 2:   12 Function Translating and Rescaling/
  18.    wt: 2:   11 Parallel Straight Lines and Transversals/
  19.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  20.    wt: 2:   8 Unit Circle Trigonometry/
  21.    wt: 2:   7 Complex Numbers/
  22.    wt: 2:   6 Trigonometry first steps/
  23.    wt: 2:   5 What is Similarity/
  24.    wt: 2:   4 Lines and Slopes Take 1/
  25.    wt: 2:   3 Cartesian and Polar Coordinates/
  26.    wt: 2:   1 Maps Plans Measurement/
  27.    wt: 2:   10 Examples of Algebraic Reasoning/
  28.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 2:   3 Solving Linear Equations/
  30.    wt: 2:   D Decimal Long Division Methods/
  31.    wt: 2:   C Decimal Multiplication Methods/
  32.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  33.    wt: 2:   A Decimal Counting and Adding Methods/
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  37.    wt: 2:   38 Lessons on Calculating Derivatives/
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  45.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
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  49.    wt: 1:   B Real Numbers Extrinsic Development/
  50.    wt: 1:   A Origins of Counting and Figuring Methods/
  51.    wt: 1:   9 Proportionality Backwards and Forwards/
  52.    wt: 1:   8 Unifying Theme For Algebra/
  53.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  54.    wt: 1:   5 Real Numbers/
  55.    wt: 1:   4 Computation Rules and Function Notation/
  56.    wt: 1:   2 Formula Forward Use Evaluation/
  57.    wt: 1:   1 Working With Sets/
  58.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  59.    wt: 1:   11 Squares and Square Roots/
  60.    wt: 1:   9 Combinatorics Trees Tables and Products/
  61.    wt: 1:   8 Arithmetic with Signed Numbers/
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  63.    wt: 1:   6 Fractions and Ratios/
  64.    wt: 1:   5 Integers/
  65.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  66.    wt: 1:   3 Prime Factorization Skills/
  67.    wt: 1:   2 Arithmetic with Decimals/
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  70.    wt: 1:   70 Calculus Starter Lessons/
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149 matches:

  1.    wt: 2:   8 analytic geometry etc
  2.    wt: 2:   Postscript 2007 01 10
  3.    wt: 2:   Ages 10 to 12 Geometry
  4.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  5.    wt: 2:   8 quadratics backward use of various formulas
  6.    wt: 2:   Quadratics in 10 steps
  7.    wt: 2:   10 Straight Lines through Origin Equations More
  8.    wt: 2:   10 Graphs of sines and cosines many periods
  9.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  10.    wt: 2:   10 Integer Multiplication Formulas
  11.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  12.    wt: 1:   K LAMP Musings Science Education
  13.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  14.    wt: 1:   Skills Chapter 2 Geometry
  15.    wt: 1:   10 statistics
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  18.    wt: 1:   links Education Resources online
  19.    wt: 1:   Mathematics Education Professors
  20.    wt: 1:   modern education
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  22.    wt: 1:   three goals for Mathematics Education
  23.    wt: 1:   02 20 mathematics education references
  24.    wt: 1:   Education in mathematics science and technology
  25.    wt: 1:   Four ways to improve education reform
  26.    wt: 1:   education an empirical art
  27.    wt: 1:   chapitre 12 00 les iles et division
  28.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  29.    wt: 1:   chapitre 06 00 Chaines de la raison
  30.    wt: 1:   chapitre 05 00 Deception
  31.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  32.    wt: 1:   chapitre 04 00 Les regles d implication
  33.    wt: 1:   chapitre 02 00 La Communication des idees
  34.    wt: 1:   chapitre 01 00 Introduction
  35.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  36.    wt: 1:   11 Help and Defend Your Child or Teens Education
  37.    wt: 1:   10 Ends values for work study instruction
  38.    wt: 1:   Ages 12 to 14 Geometry
  39.    wt: 1:   Ages 10 to 12 Arithmetic
  40.    wt: 1:   Ages 9 to 10
  41.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  42.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  43.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  44.    wt: 1:   23 Inverse Functions
  45.    wt: 1:   15 Sign analysis of functions
  46.    wt: 1:   10 Interval Notation
  47.    wt: 1:   8 Set view of relations and functions
  48.    wt: 1:   7 Functions with finite domains
  49.    wt: 1:   A Quadratics Summary
  50.    wt: 1:   10 quadratic exercises
  51.    wt: 1:   9 quadratics physical and further context
  52.    wt: 1:   6 quadratics numerical approach
  53.    wt: 1:   5 quadratics completing the square
  54.    wt: 1:   4 quadratics difference of two squares
  55.    wt: 1:   3 quadratics factoring by inspection
  56.    wt: 1:   2 quadratics graphing in general
  57.    wt: 1:   1 quadratics graphing exercises
  58.    wt: 1:   10 Exponential Growth and Decay Models
  59.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  60.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  61.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  62.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  63.    wt: 1:   10 arctan left inverse of tangent Definition
  64.    wt: 1:   10 Parallelogram Addition Method
  65.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  66.    wt: 1:   Straight Lines Instersection Solving Equations
  67.    wt: 1:   14 Straight Lines Equations General Case
  68.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  69.    wt: 1:   9 Straight Lines through Origin Equations
  70.    wt: 1:   17 tangent function angle sum formulas
  71.    wt: 1:   30 unit circle calculation of six trigonometric functions
  72.    wt: 1:   26 Formulas for products of sines and cosines
  73.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  74.    wt: 1:   21 sine and cosine Half Angle Formulas
  75.    wt: 1:   20 sine and cosine Double Angle Formulas
  76.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  77.    wt: 1:   17E Trig Formulas for dot and cross Products
  78.    wt: 1:   17D cis formulas for sine cosines and tangent
  79.    wt: 1:   17C sine and cosine double triple angle formulas
  80.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  81.    wt: 1:   9 Graphs of sine and cosine over one period
  82.    wt: 1:   13 Trig Formulas for dot and cross Products
  83.    wt: 1:   12 cis formulas for sine cosines and tangent
  84.    wt: 1:   11 sine and cosine double triple angle formulas
  85.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  86.    wt: 1:   10 Midpoint of [a b] and [b a]
  87.    wt: 1:   4 Equations for lines three forms
  88.    wt: 1:   1 Numerical view of lines and their equations
  89.    wt: 1:   13 Pythagorean spatial distance formulas
  90.    wt: 1:   10 Pythagorean plane distance formula
  91.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  92.    wt: 1:   10 Dropping a perpendicular to line
  93.    wt: 1:   Short Course on Euclidean Geometry
  94.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  95.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  96.    wt: 1:   6 Equations and Systems Equivalent or Implied
  97.    wt: 1:   10 Real Number Lengths and Signs
  98.    wt: 1:   3 Geometric Formulas and Function Notation
  99.    wt: 1:   1 Formulas Dependence and Function Notation
  100.    wt: 1:   10 One Example
  101.    wt: 1:   13 Naming Identifying Formulas with Words
  102.    wt: 1:   10 Volume of Pyramid
  103.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  104.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  105.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  106.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  107.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  108.    wt: 1:   4 LCM of 8 and 10 via Prime
  109.    wt: 1:   12 GCD 2700 288 via Prime
  110.    wt: 1:   10 dividing signed numbers
  111.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  112.    wt: 1:   11 Adding Integers Formulas and Examples
  113.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  114.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  115.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  116.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  117.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  118.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  119.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  120.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  121.    wt: 1:   1 Remainder Arithmetic Modulo 10
  122.    wt: 1:   10 video Prime Factorization upto 23 squared
  123.    wt: 1:   10 Division by Five Long and Short Ways
  124.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  125.    wt: 1:   010 Repeated Addition of Time Intervals
  126.    wt: 1:   38 Formulas and derivatives for powers and roots
  127.    wt: 1:   31 Derivatives of inverse functions
  128.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  129.    wt: 1:   26 Chain Rule Recognising outer inner functions
  130.    wt: 1:   19 Chain Rule for linear functions
  131.    wt: 1:   10 Power rule for negative integers
  132.    wt: 1:   10 Three one sided limits with infinite values
  133.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  134.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  135.    wt: 1:   F.1 What Functions are Continuous
  136.    wt: 1:   Chapter 10 Slopes and Units
  137.    wt: 1:   Chapter 19. Functions and Sets
  138.    wt: 1:   Chapter 15. Solving Linear Equations
  139.    wt: 1:   Chapter 10 Describing and Changing Calculations
  140.    wt: 1:   Postscript B Mathematics Education References
  141.    wt: 1:   Chapter 10 Transition
  142.    wt: 1:   Chapter 7 Two Treatments of Geometry
  143.    wt: 1:   Chapter 10 Responsibility
  144.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  145.    wt: 1:   Chapter 6 More Algebra and Geometry
  146.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  147.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  148.    wt: 1:   Mathematics Education References
  149.    wt: 1:   Mathematics Education References

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  1.    wt: 6:   links Education Resources online
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  3.    wt: 6:   Postscript 2007 01 10
  4.    wt: 6:   02 20 mathematics education references
  5.    wt: 6:   Education in mathematics science and technology
  6.    wt: 6:   cultivating intelligence
  7.    wt: 6:   Four ways to improve education reform
  8.    wt: 6:   education an empirical art
  9.    wt: 6:   chapitre 12 00 les iles et division
  10.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  11.    wt: 6:   chapitre 06 00 Chaines de la raison
  12.    wt: 6:   chapitre 05 00 Deception
  13.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  14.    wt: 6:   chapitre 04 00 Les regles d implication
  15.    wt: 6:   chapitre 02 00 La Communication des idees
  16.    wt: 6:   chapitre 01 00 Introduction
  17.    wt: 6:   Quadratics in 10 steps
  18.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  19.    wt: 6:   Straight Lines Instersection Solving Equations
  20.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  21.    wt: 6:   10 Dropping a perpendicular to line
  22.    wt: 6:   Short Course on Euclidean Geometry
  23.    wt: 6:   10 One Example
  24.    wt: 6:   010 Repeated Addition of Time Intervals
  25.    wt: 5:   10 statistics
  26.    wt: 5:   8 analytic geometry etc
  27.    wt: 5:   which way to go
  28.    wt: 5:   website reviews
  29.    wt: 5:   Applied Maths Program14092009 POMME variant
  30.    wt: 5:   activities for students
  31.    wt: 5:   key notes and themes
  32.    wt: 5:   teacher certification
  33.    wt: 5:   modern education
  34.    wt: 5:   grouping students according to ability
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  36.    wt: 5:   Education Reform Inconsistencies
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  38.    wt: 5:   Secondary Two Mathematics
  39.    wt: 5:   three goals for Mathematics Education
  40.    wt: 5:   05 13 OldSiteEntrancePage
  41.    wt: 5:   04 29 New Mathematics Curriculum
  42.    wt: 5:   04 25 when to stop or suspend mathemat
  43.    wt: 5:   02 21 words for teachers
  44.    wt: 5:   three aims for mathematics students
  45.    wt: 5:   standards for course material
  46.    wt: 5:   Operational Viewpoint to Value
  47.    wt: 5:   formal or informal peer review
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  50.    wt: 5:   Different Kinds of Reasoning in maths
  51.    wt: 5:   three kinds of reason in mathematics
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  53.    wt: 5:   Motivation and Context Problem
  54.    wt: 5:   need for a mixed mathematics curriculum
  55.    wt: 5:   Leaner mathematics curriculum
  56.    wt: 5:   Prequel In For A Penny In For A Pound
  57.    wt: 5:   fairness and inductive principles for instruction
  58.    wt: 5:   words for mathematics instructor
  59.    wt: 5:   chapitre 07 01 principle D induction mathematique
  60.    wt: 5:   chapitre 04 09 Regles accidentelles
  61.    wt: 5:   chapitre 04 08 Limitations et benefices
  62.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  63.    wt: 5:   chapitre 04 06 engagements
  64.    wt: 5:   chapitre 04 05 Implication versus suggestion
  65.    wt: 5:   chapitre 04 04 Parlons de la logique
  66.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  67.    wt: 5:   chapitre 04 02 Deuxieme enigme
  68.    wt: 5:   chapitre 04 01 Premiere enigme
  69.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  70.    wt: 5:   Ages 10 to 12 Geometry
  71.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  72.    wt: 5:   8 quadratics backward use of various formulas
  73.    wt: 5:   10 Parallelogram Addition Method
  74.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  75.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  76.    wt: 5:   Straight Lines ASA Intersection Study More
  77.    wt: 5:   Straight Lines ASA Intersection Study
  78.    wt: 5:   Straight Lines Intersection of
  79.    wt: 5:   10 Straight Lines through Origin Equations More
  80.    wt: 5:   10 Graphs of sines and cosines many periods
  81.    wt: 5:   10 Midpoint of [a b] and [b a]
  82.    wt: 5:   10 Pythagorean plane distance formula
  83.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  84.    wt: 5:   6 Equations and Systems Equivalent or Implied
  85.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  86.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  87.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  88.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  89.    wt: 5:   4 LCM of 8 and 10 via Prime
  90.    wt: 5:   12 GCD 2700 288 via Prime
  91.    wt: 5:   10 Integer Multiplication Formulas
  92.    wt: 5:   10 Division by Five Long and Short Ways
  93.    wt: 5:   016 Numbering Occidental Calendar Days
  94.    wt: 5:   015 School and work day counting tables
  95.    wt: 5:   014 Counting Days with Calendars
  96.    wt: 5:   013 Travel Time Tables
  97.    wt: 5:   012 Division of Time Intervals by Time Intervals
  98.    wt: 5:   011 Division of Time Intervals By Numbers
  99.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  100.    wt: 5:   8 Addition of Time Intervals via subtotaling
  101.    wt: 5:   7 Addition of Time Intervals
  102.    wt: 5:   6 How long is a million seconds
  103.    wt: 5:   5 Conversion Arithmetic
  104.    wt: 5:   4 Mixing and Changing Units of Time
  105.    wt: 5:   3 Units and Lengths of Time
  106.    wt: 5:   2 Time and Date Matters in School
  107.    wt: 5:   1 Intro of Kids To Time Date Skills
  108.    wt: 4:   3 Euclidean Geometry Leanly
  109.    wt: 4:   What is POMME
  110.    wt: 4:   why bother
  111.    wt: 4:   three goals to set for students
  112.    wt: 4:   Teach the teachers plus goals
  113.    wt: 4:   permissions for teachers
  114.    wt: 4:   Math Ed if it must be short make it lean effective
  115.    wt: 4:   site origins
  116.    wt: 4:   site eurekas
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  118.    wt: 4:   learning takes time
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  120.    wt: 4:   five decades make a difference
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  122.    wt: 4:   how letters appear
  123.    wt: 4:   Secondary One Mathematics
  124.    wt: 4:   talk the algebra talk
  125.    wt: 4:   three difficulties
  126.    wt: 4:   teaching tips
  127.    wt: 4:   What to Tell Students
  128.    wt: 4:   mathematics curriculum shifts
  129.    wt: 4:   geometric implications for algebra
  130.    wt: 4:   teaching tutoring algebraic reason
  131.    wt: 4:   Lessening Algebra Difficulties
  132.    wt: 4:   the trouble with algebra
  133.    wt: 4:   10 Ends values for work study instruction
  134.    wt: 4:   Ages 10 to 12 Arithmetic
  135.    wt: 4:   10 Interval Notation
  136.    wt: 4:   8 Set view of relations and functions
  137.    wt: 4:   7 Functions with finite domains
  138.    wt: 4:   1 Geometric Introduction of Function Notation
  139.    wt: 4:   Introduction Reading Guide
  140.    wt: 4:   A Quadratics Summary
  141.    wt: 4:   10 quadratic exercises
  142.    wt: 4:   9 quadratics physical and further context
  143.    wt: 4:   6 quadratics numerical approach
  144.    wt: 4:   5 quadratics completing the square
  145.    wt: 4:   4 quadratics difference of two squares
  146.    wt: 4:   3 quadratics factoring by inspection
  147.    wt: 4:   2 quadratics graphing in general
  148.    wt: 4:   1 quadratics graphing exercises
  149.    wt: 4:   10 arctan left inverse of tangent Definition
  150.    wt: 4:   1 Degrees and Radians Introduction
  151.    wt: 4:   Vector and Complex Number Applet
  152.    wt: 4:   14 Straight Lines Equations General Case
  153.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  154.    wt: 4:   9 Straight Lines through Origin Equations
  155.    wt: 4:   9 Graphs of sine and cosine over one period
  156.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  157.    wt: 4:   13 Trig Formulas for dot and cross Products
  158.    wt: 4:   12 cis formulas for sine cosines and tangent
  159.    wt: 4:   11 sine and cosine double triple angle formulas
  160.    wt: 4:   Appetizer A Complex Number Applet
  161.    wt: 4:   Why Trigonometry the whyslopes view
  162.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  163.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  164.    wt: 4:   4 Equations for lines three forms
  165.    wt: 4:   1 Numerical view of lines and their equations
  166.    wt: 4:   What is and is not here
  167.    wt: 4:   13 Pythagorean spatial distance formulas
  168.    wt: 4:   PS H Distributive Law For Complex Numbers
  169.    wt: 4:   PS G Rotation Distributes over Addition
  170.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  171.    wt: 4:   PS E Multiplication with Polar Coordinates
  172.    wt: 4:   PS D Addition with Cartesian Coordinates
  173.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  174.    wt: 4:   PS B Parallelogram Construction Methods
  175.    wt: 4:   PS A Kite Construction Methods
  176.    wt: 4:   21 Parallelograms
  177.    wt: 4:   19 Right Triangle Similarity
  178.    wt: 4:   18 Triangle Similarity Take 1
  179.    wt: 4:   17 Right Bisectors of Triangle Sides
  180.    wt: 4:   16 Angles Subtended By Chords and Diameters
  181.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  182.    wt: 4:   14 Parallel Lines Postulate
  183.    wt: 4:   13 Angle Side Angle Failure
  184.    wt: 4:   12 Side Angle Side Failure
  185.    wt: 4:   11 Triangle Construction Fails
  186.    wt: 4:   9 Construction of a right bisector
  187.    wt: 4:   8 Isoceles Triangles
  188.    wt: 4:   7 Angle Side Angle
  189.    wt: 4:   6 Ruler and compass Angle Bisection
  190.    wt: 4:   5 Side Angle Side
  191.    wt: 4:   4 Side Side Side
  192.    wt: 4:   3 Isometry of Triangles Congruence
  193.    wt: 4:   2 Correspondence between Triangles
  194.    wt: 4:   1 Initial Concepts and Terms
  195.    wt: 4:   A Measurement with Ruler Proper Use
  196.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  197.    wt: 4:   6 Figuring with Maps Not to Scale
  198.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  199.    wt: 4:   4 Angles on Maps Plans drawn to scale
  200.    wt: 4:   3 Lengths and Areas on Maps and Plans
  201.    wt: 4:   2 Measuring Area Directly
  202.    wt: 4:   1 Length Measurement
  203.    wt: 4:   5 Areas of Rectangles Revisited
  204.    wt: 4:   4 Fraction Operations Axiomatic Development
  205.    wt: 4:   3 Inequalities Algebraically
  206.    wt: 4:   2 Fraction Operations Physical Development
  207.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  208.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  209.    wt: 4:   5 Equality in Algebra
  210.    wt: 4:   4 Subtraction and Division Axioms
  211.    wt: 4:   3 Product Axioms Two Forms
  212.    wt: 4:   2 Addition and Multiplication Axioms
  213.    wt: 4:   1 Equivalent Computation Rules
  214.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  215.    wt: 4:   4 GE III Animated Examples
  216.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  217.    wt: 4:   3 GE III Equation Addition and Multiplication
  218.    wt: 4:   2 GE II Comparison
  219.    wt: 4:   1 GE Substitution four examples
  220.    wt: 4:   4 Solving a triangular system exercise
  221.    wt: 4:   3 Solving triangular system example
  222.    wt: 4:   2 Essentially one exercises three with solution
  223.    wt: 4:   1 Essentially One Unknown
  224.    wt: 4:   6 Algebraic Solution Example
  225.    wt: 4:   5 Algebraic Solutions Introduction
  226.    wt: 4:   4 Four Examples Fractional Coefficients
  227.    wt: 4:   3 Four Examples
  228.    wt: 4:   2 Three Examples
  229.    wt: 4:   1 Proper Equal Sign Usage
  230.    wt: 4:   Skill Development Notes
  231.    wt: 4:   9 Three Examples
  232.    wt: 4:   8 One Example
  233.    wt: 4:   7 Two Examples
  234.    wt: 4:   6 Three Examples
  235.    wt: 4:   5 Three Examples
  236.    wt: 4:   4 Two Examples
  237.    wt: 4:   3 Two Examples
  238.    wt: 4:   2 Three Examples
  239.    wt: 4:   Formula Usage Show Work Format
  240.    wt: 4:   13 GCD from given Prime Factorization
  241.    wt: 4:   8 GCD from Euclidean Algorithm
  242.    wt: 4:   7 GCD and LCM from prime factorization
  243.    wt: 4:   6 GCD from Prime
  244.    wt: 4:   1 Least Common Multiples LCM Introduction
  245.    wt: 4:   10 video Prime Factorization upto 23 squared
  246.    wt: 4:   D Decimal Multiplication Methods Derived
  247.    wt: 4:   Summary
  248.    wt: 4:   38 Formulas and derivatives for powers and roots
  249.    wt: 4:   19 Chain Rule for linear functions
  250.    wt: 4:   10 Three one sided limits with infinite values
  251.    wt: 4:   1 Numerical introduction
  252.    wt: 3:   K LAMP Musings Science Education
  253.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  254.    wt: 3:   11 pure mathematics
  255.    wt: 3:   9 combinatorics probability sets
  256.    wt: 3:   7 logic review and decimals an odd combination
  257.    wt: 3:   6 polynomials etc
  258.    wt: 3:   5 logarithms and exponentials etc
  259.    wt: 3:   4 algebra
  260.    wt: 3:   2 arithmetic with signed numbers
  261.    wt: 3:   1 arithmetic with unsigned numbers
  262.    wt: 3:   A Circuit Elements
  263.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  264.    wt: 3:   11 Help and Defend Your Child or Teens Education
  265.    wt: 3:   Ages 12 to 14 Geometry
  266.    wt: 3:   Ages 9 to 10
  267.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  268.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  269.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  270.    wt: 3:   23 Inverse Functions
  271.    wt: 3:   20 Interchanging coordinates a reflection
  272.    wt: 3:   15 Sign analysis of functions
  273.    wt: 3:   11 Function Domain Range Source and Targets
  274.    wt: 3:   9 Set theory term relation possible origins
  275.    wt: 3:   6 Set Existence Formation and Notation
  276.    wt: 3:   5 Function notation for geometric transformations
  277.    wt: 3:   4 Function notation in and beyond mathematics
  278.    wt: 3:   3 Formula or function graphing exercise
  279.    wt: 3:   2 Algebraic use of function notation
  280.    wt: 3:   7 quadratic formulla derivation
  281.    wt: 3:   10 Exponential Growth and Decay Models
  282.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  283.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  284.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  285.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  286.    wt: 3:   1 Calculator Starter Exercises
  287.    wt: 3:   16 cotangent function Definition Graph and Inverse
  288.    wt: 3:   15 cosecant function Definition Graph and Inverse
  289.    wt: 3:   14 secant function Definition Graph and Inverse
  290.    wt: 3:   13 cosecant function Definition Graph and Inverse
  291.    wt: 3:   12 motivation for term arctan
  292.    wt: 3:   11 arctan left inverse of tangent Graph
  293.    wt: 3:   9 motivation for name arcsin
  294.    wt: 3:   8 arcsin left inverse of sine Graph
  295.    wt: 3:   7 arcsin left inverse of sine Definition
  296.    wt: 3:   6 Graph of arccos function
  297.    wt: 3:   5 Swapping Coordinates is a reflection
  298.    wt: 3:   4 possible motivation for term arccos
  299.    wt: 3:   3 Left Inverse of cosine arccos definition
  300.    wt: 3:   2 cosine function more properties
  301.    wt: 3:   1 cosine function properties
  302.    wt: 3:   9 Summary Degrees to Radians and back
  303.    wt: 3:   8 Radian Measures of Common Angles
  304.    wt: 3:   7 Radian Measures in special Triangles
  305.    wt: 3:   6 Radian Measure to Degrees
  306.    wt: 3:   5 Degrees to Radian Measure
  307.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  308.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  309.    wt: 3:   2 Radian Measure Numerical Value of one degree
  310.    wt: 3:   A Global Time and Navigation
  311.    wt: 3:   15 Dot and Cross Product
  312.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  313.    wt: 3:   13 Velocity Vectors in Physics
  314.    wt: 3:   12 From Applied To Pure Mathematics
  315.    wt: 3:   11 Component Method
  316.    wt: 3:   9 Head to Tail Coordinate View
  317.    wt: 3:   8 Parallel Vectors
  318.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  319.    wt: 3:   6 Vectors with Coordinates
  320.    wt: 3:   5 Head To Tail Arrow Addition
  321.    wt: 3:   4 Resultant of a Sum of Movements
  322.    wt: 3:   3 Navigation with Arrows or Vectors
  323.    wt: 3:   2 Signed Coordinates
  324.    wt: 3:   1 Unsigned Coordinates
  325.    wt: 3:   4 graphing y=Asin(x c)
  326.    wt: 3:   3 graphing y=f(x c) plus K
  327.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  328.    wt: 3:   1 graphing y=f(x a)
  329.    wt: 3:   Parallel Lines and Parallel Transversals
  330.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  331.    wt: 3:   Triangle Angles Sum To 180 Degrees
  332.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  333.    wt: 3:   Parallel Lines and Interior Angles
  334.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  335.    wt: 3:   C Straight Lines Slope from Coordinates
  336.    wt: 3:   B Straight Line Slope Scaling Properties More
  337.    wt: 3:   A Straight Line Slope Scaling Properties
  338.    wt: 3:   12 Straight Lines Graphing mx plus b
  339.    wt: 3:   11 Straight Lines Graphing y=mx
  340.    wt: 3:   8 Straight Lines Equation for vertical
  341.    wt: 3:   7 Tangent Function is odd on this domain
  342.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  343.    wt: 3:   5 Tangent Function Graph
  344.    wt: 3:   4 Tangent Function Properties
  345.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  346.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  347.    wt: 3:   1 Straight Lines Slope Concept
  348.    wt: 3:   17 tangent function angle sum formulas
  349.    wt: 3:   30 unit circle calculation of six trigonometric functions
  350.    wt: 3:   26 Formulas for products of sines and cosines
  351.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  352.    wt: 3:   21 sine and cosine Half Angle Formulas
  353.    wt: 3:   20 sine and cosine Double Angle Formulas
  354.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  355.    wt: 3:   17E Trig Formulas for dot and cross Products
  356.    wt: 3:   17D cis formulas for sine cosines and tangent
  357.    wt: 3:   17C sine and cosine double triple angle formulas
  358.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  359.    wt: 3:   13 Graph of tangent function many periods
  360.    wt: 3:   12 Graph of tangent function for one period
  361.    wt: 3:   11 tangent function undefined when terminal side vertical
  362.    wt: 3:   8 period of tangent function
  363.    wt: 3:   7 period of sine and cosine
  364.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  365.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  366.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  367.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  368.    wt: 3:   2 Quadrant I reference Angles
  369.    wt: 3:   1 Unit Points Reflections Rotations
  370.    wt: 3:   Unit Circle Development of Trigonometry
  371.    wt: 3:   21 Logarithms Powers and Exponentials
  372.    wt: 3:   20 N th Roots of Complex Numbers
  373.    wt: 3:   19 N th Roots of Unity
  374.    wt: 3:   18 Sixth Roots of Unity
  375.    wt: 3:   17 Cube Roots of unity
  376.    wt: 3:   16 References and Originality Question
  377.    wt: 3:   15 Pythagorean Theorem Converse
  378.    wt: 3:   14 Law of cosines
  379.    wt: 3:   9 The complex number valued trig function cis
  380.    wt: 3:   8 Unit Circle Development of Trigonometry
  381.    wt: 3:   7 Second Way to Calculate Products
  382.    wt: 3:   6 Field Properties of Complex Number
  383.    wt: 3:   5 An Easy Proof of the Distributive Law
  384.    wt: 3:   4 Multiplication Properties
  385.    wt: 3:   3 Addition Properties
  386.    wt: 3:   2 Complex Numbers made easier we hope
  387.    wt: 3:   1 Rectangular Polar Coordinates Review
  388.    wt: 3:   8 Triangles Cascade Problem Solving
  389.    wt: 3:   7 Trignometric Ratios Unit Circle
  390.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  391.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  392.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  393.    wt: 3:   3 Trigonometric Ratios sine and cosine
  394.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  395.    wt: 3:   1 Angle Measurement with Degrees
  396.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  397.    wt: 3:   12 Triangles Similarity More Problems
  398.    wt: 3:   11 Triangle Similarity Missing Side Problem
  399.    wt: 3:   9 Similarity of Triangles Usual Criteria
  400.    wt: 3:   2 Similarity By Design
  401.    wt: 3:   1 Early Concept of Like or Similar Shapes
  402.    wt: 3:   Four Simple Exercises
  403.    wt: 3:   12 Links Lessons elsewhere
  404.    wt: 3:   11 A Partial Summary
  405.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  406.    wt: 3:   8 Mid Point Formula
  407.    wt: 3:   7 Exercises to test skill and concept mastery
  408.    wt: 3:   6 Intersection of lines by solving linear systems
  409.    wt: 3:   5 Algebraic View of Slopes
  410.    wt: 3:   3 Slope product for perpendicular lines
  411.    wt: 3:   2 point slope equation for a line
  412.    wt: 3:   12 Spatial Coordinates
  413.    wt: 3:   11 Triangle Inequality
  414.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  415.    wt: 3:   8 Distance Between Points on a Line
  416.    wt: 3:   7 Complex Numbers Appetizer
  417.    wt: 3:   6 Polar Multiplication and Rotation
  418.    wt: 3:   5 Cartesian Addition and Translation
  419.    wt: 3:   4 Polar Coordinates to and from
  420.    wt: 3:   3 Rectangular Coordinates Review
  421.    wt: 3:   2 Cartesian Coordinates with signs
  422.    wt: 3:   1 Cartesian Coordinates sans signs
  423.    wt: 3:   About Folder Contents
  424.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  425.    wt: 3:   9 Division with Digits after Decimal Point
  426.    wt: 3:   8 Division and Mulplication of Compound Fractions
  427.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  428.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  429.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  430.    wt: 3:   4 Location of Point in Decimal Addition
  431.    wt: 3:   3 Location of Point in Decimal Multiplication
  432.    wt: 3:   2 Counting Digits in Decimal Multiplication
  433.    wt: 3:   1 Fractions with Finite Decimal Expansions
  434.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  435.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  436.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  437.    wt: 3:   6 Compound Interest Forward and Backwards
  438.    wt: 3:   5 Triangle Area Formula Backwards
  439.    wt: 3:   3 Linear Equation Literal Solution More
  440.    wt: 3:   2 Linear Equation Literal Solution
  441.    wt: 3:   1 Changing Calculations
  442.    wt: 3:   5 Greater More Less Than Signs in General
  443.    wt: 3:   4 Comparison of Negative Numbers
  444.    wt: 3:   3 More and Less Than with Unlike Signs
  445.    wt: 3:   2 More and Less Than for Counts and Measures
  446.    wt: 3:   1 Real Numbers Comparison
  447.    wt: 3:   10 Real Number Lengths and Signs
  448.    wt: 3:   9 Coordinates for Regions in Space
  449.    wt: 3:   8 Coordinates for Maps and Planes
  450.    wt: 3:   7 Real Numbers as Line Cordinates
  451.    wt: 3:   6 Unsigned Real Numbers
  452.    wt: 3:   5 Rational Numbers More
  453.    wt: 3:   4 Rational Numbers
  454.    wt: 3:   3 Fractions
  455.    wt: 3:   2 Integers
  456.    wt: 3:   1 Whole and Natural Numbers
  457.    wt: 3:   3 Geometric Formulas and Function Notation
  458.    wt: 3:   1 Formulas Dependence and Function Notation
  459.    wt: 3:   More Exercises
  460.    wt: 3:   Using Letters for Physical Quantities
  461.    wt: 3:   13 Naming Identifying Formulas with Words
  462.    wt: 3:   10 Volume of Pyramid
  463.    wt: 3:   9 Volume of Cone
  464.    wt: 3:   8 Compound Interest Formula Evaluation
  465.    wt: 3:   7 Compound Interest Formula Introduction
  466.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  467.    wt: 3:   5 Box Volume Formula Example
  468.    wt: 3:   4 Circle Area Formula Example
  469.    wt: 3:   3 Triangle Area Formula Example
  470.    wt: 3:   2 Another Rectangle Area Formula Example
  471.    wt: 3:   1 Written work formats for developing and showing skill
  472.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  473.    wt: 3:   9 Sets in Probability and Statistics
  474.    wt: 3:   8 Sets of Numbers
  475.    wt: 3:   7 Cautious or Safe Set Construction
  476.    wt: 3:   6 Power Set Notation
  477.    wt: 3:   5 Product Builder Notation
  478.    wt: 3:   4 Subset Builder Notation
  479.    wt: 3:   3 Counting with Sets etc
  480.    wt: 3:   2 Venn Diagrams
  481.    wt: 3:   1 Finite Sets
  482.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  483.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  484.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  485.    wt: 3:   5 Common Divisors 60 45 via Prime
  486.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  487.    wt: 3:   2 Least Common Multiple LCM intro via list method
  488.    wt: 3:   10 dividing signed numbers
  489.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  490.    wt: 3:   11 Adding Integers Formulas and Examples
  491.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  492.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  493.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  494.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  495.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  496.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  497.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  498.    wt: 3:   1 Remainder Arithmetic Modulo 10
  499.    wt: 3:   12 Why Long Division Works Take III
  500.    wt: 3:   11 Another Single Digit Divisor Example
  501.    wt: 3:   9 Why Long Division Works Take II
  502.    wt: 3:   8 Correcting the Mistake
  503.    wt: 3:   7 Long Divison Mistake Catching
  504.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  505.    wt: 3:   5 Long Division Include Zeroes or not
  506.    wt: 3:   4 Division with 2 Digit Divsors
  507.    wt: 3:   3 Division Single Digit Divisor Example
  508.    wt: 3:   2 Division with Single Digit Divisors
  509.    wt: 3:   1 Divsion Physical Examples
  510.    wt: 3:   C Counting Areas with Powers of Ten
  511.    wt: 3:   B Powers of Ten
  512.    wt: 3:   A Elementary Basis for Multiplication Methods
  513.    wt: 3:   6 Multiplication Commutes Order Not Important
  514.    wt: 3:   5 Decimal Fraction Multiplication
  515.    wt: 3:   4 Two and Three Digit Multipliers
  516.    wt: 3:   3 More One Digit Multipliers
  517.    wt: 3:   2 One Digit Multipliers
  518.    wt: 3:   1 Why 3 times 5 gives 15
  519.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  520.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  521.    wt: 3:   9 22 Minute Subtraction Review Video
  522.    wt: 3:   8 Subtraction with Units of Measure
  523.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  524.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  525.    wt: 3:   5 A Tip for Efficent Subtraction
  526.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  527.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  528.    wt: 3:   2 Subtraction Easy Case Examples
  529.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  530.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  531.    wt: 3:   8 What skills and work habits to require
  532.    wt: 3:   7 Adding decimal fractions using decimal point
  533.    wt: 3:   6. Counting and adding units and mixed units
  534.    wt: 3:   5. How to add decimals C. Examples
  535.    wt: 3:   4. How to add with decimals B with conversions
  536.    wt: 3:   3. How to add with decimals A sans conversions
  537.    wt: 3:   2 Decimal Counting Practices
  538.    wt: 3:   1. Explaining Addition Table
  539.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  540.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  541.    wt: 3:   Example 2 volume of a cone
  542.    wt: 3:   Volume of Solid by Cross Sections Lesson
  543.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  544.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  545.    wt: 3:   Example 2
  546.    wt: 3:   Example 1
  547.    wt: 3:   Area Between Curves Lesson Take 1
  548.    wt: 3:   5 Area Under Curve Exercise
  549.    wt: 3:   4 Definite Integrals Evaluation Exercises
  550.    wt: 3:   3 Two Chain Rule Method Exercises
  551.    wt: 3:   2 Indefinite Integrals Exercises
  552.    wt: 3:   1 Chain Rule in Reverse Integration Method
  553.    wt: 3:   4 Second derivative test exercise example
  554.    wt: 3:   3 Second derivative test
  555.    wt: 3:   2 Second derivative test prequel
  556.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  557.    wt: 3:   36 Cube root derivative animated
  558.    wt: 3:   31 Derivatives of inverse functions
  559.    wt: 3:   29 Chain Rule Optional Reading
  560.    wt: 3:   28 Chain Rule Preparation for a Proof
  561.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  562.    wt: 3:   26 Chain Rule Recognising outer inner functions
  563.    wt: 3:   18 Chain Rule Introduction
  564.    wt: 3:   15 sine and cosine derivatives 3rd step
  565.    wt: 3:   12 Quotient rule examples
  566.    wt: 3:   10 Power rule for negative integers
  567.    wt: 3:   3 Motivation for Limit Definition Take 2
  568.    wt: 3:   2 Motivation for Limit Definition Take 1
  569.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  570.    wt: 3:   9 Limits Continuity and Composition
  571.    wt: 3:   8 Four Animated Examples
  572.    wt: 3:   7 Evaluation by immediate or delayed substitution
  573.    wt: 3:   6 Continuity at a point
  574.    wt: 3:   5 Jumps and absence of unlimited error control
  575.    wt: 3:   4 Numerical properties
  576.    wt: 3:   3 Decimal insights for limits continuity convergence
  577.    wt: 3:   2 Algebraic codification
  578.    wt: 3:   Chapter 10 Describing and Changing Calculations
  579.    wt: 3:   J. More on written work and showing skill
  580.    wt: 3:   How to Build Skills and Confidence
  581.    wt: 3:   Chapter 6 More Algebra and Geometry
  582.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  583.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  584.    wt: 2:   Appendix 2 primary school Arithmetic 01
  585.    wt: 2:   Appendix 1 primary and preschool mathematic
  586.    wt: 2:   J LAMP Introduction Extrinsic Origins
  587.    wt: 2:   I LAMP Introduction Study Habits
  588.    wt: 2:   H LAMP Introduction Instructional Concepts
  589.    wt: 2:   G LAMP Introduction Problem Solving Skills
  590.    wt: 2:   F LAMP Introduction Prerequisites
  591.    wt: 2:   E LAMP Introduction Modern Mathematics
  592.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  593.    wt: 2:   A Introduction Objectives
  594.    wt: 2:   Skills Chapter 2 Geometry
  595.    wt: 2:   Skills Chapter 1 Arithmetic
  596.    wt: 2:   Skills Chapter 0 Introduction
  597.    wt: 2:   liens
  598.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  599.    wt: 2:   problemes responses
  600.    wt: 2:   problemes algebre et arithmetique
  601.    wt: 2:   Trois Notions qui menent a algebre
  602.    wt: 2:   deux definitions pour variable
  603.    wt: 2:   logique deux enigme
  604.    wt: 2:   A Energy Power01
  605.    wt: 2:   2 Conductance Resistance Duality02
  606.    wt: 2:   2 Unlike resistors in parallel01
  607.    wt: 2:   1 Like resistors in series
  608.    wt: 2:   H Series Circuit02
  609.    wt: 2:   G Series Circuit01
  610.    wt: 2:   F Unlike Resistors in Series
  611.    wt: 2:   E Kirchoffs Second Law
  612.    wt: 2:   D Kirchoff First Law
  613.    wt: 2:   C Electromotive force conventional current02
  614.    wt: 2:   B Electromotive force conventional current01
  615.    wt: 2:   Home Tutoring and Home Schooling
  616.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  617.    wt: 2:   24 Standards For Skill Develoment Take II
  618.    wt: 2:   24 Standards For Skill Develoment
  619.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  620.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  621.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  622.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  623.    wt: 2:   22 Student Centered Highschool Mathematics
  624.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  625.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  626.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  627.    wt: 2:   18 Primary School Mathematics
  628.    wt: 2:   17 Math Booklets for children and young teenagers
  629.    wt: 2:   16 Secondary Mathematics Tips
  630.    wt: 2:   15 Counting For Parents
  631.    wt: 2:   14 Multiplication and Times Tables
  632.    wt: 2:   13 Addition and Addition Tables
  633.    wt: 2:   12 Goals and Objectives For Mathematics
  634.    wt: 2:   9 Streaming by Student Cooperation
  635.    wt: 2:   8 The Effect of Negative Remarks
  636.    wt: 2:   7 Student Motivation
  637.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  638.    wt: 2:   5 Patience Please for Yourself and Your Charges
  639.    wt: 2:   4 Learning Takes Time and Effort
  640.    wt: 2:   3 Preparing for Science Studies
  641.    wt: 2:   2 Reading and Writing Skills
  642.    wt: 2:   1 Speaking Skills
  643.    wt: 2:   Ages 12 to 14 Skills with take home value
  644.    wt: 2:   Ages 12 to 14 Arithmetic
  645.    wt: 2:   Ages 8 to 9
  646.    wt: 2:   Ages 7 to 8
  647.    wt: 2:   Ages 6 to 7
  648.    wt: 2:   Ages 4 plus to 5 plus
  649.    wt: 2:   Ages 3 plus to 4 plus
  650.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  651.    wt: 2:   sign monoticity analysis example 4
  652.    wt: 2:   sign monoticity analysis example 3
  653.    wt: 2:   sign monoticity analysis example 2
  654.    wt: 2:   sign monoticity analysis example 1
  655.    wt: 2:   26 Function definitions done and coming
  656.    wt: 2:   22 Square Root function graphically
  657.    wt: 2:   19 Horizontal line rule and method
  658.    wt: 2:   18 Vertical Line Rule and Method
  659.    wt: 2:   17 Function maxima minima and their location
  660.    wt: 2:   16 Increasing or decreasing on intervals
  661.    wt: 2:   14 Surjections Injections Bijections
  662.    wt: 2:   13 From one to one to many to one
  663.    wt: 2:   12 Function Domain Recognition Exercises
  664.    wt: 2:   11 Growth and Decay in Biology
  665.    wt: 2:   5 Natural Logarithm Calculator Exercises
  666.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  667.    wt: 2:   2 Square Root Simplification a prequel
  668.    wt: 2:   Rewriting algebraic substitution as function substitutions
  669.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  670.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  671.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  672.    wt: 2:   32 seven rows of pascals triangle
  673.    wt: 2:   31 basic secant cosecant cotangent trig identities
  674.    wt: 2:   29 secant cosecant and cotangent for acute angles
  675.    wt: 2:   28 Expressing products of sines cosines as sums
  676.    wt: 2:   27 Logarithmic use of products of sines and cosines
  677.    wt: 2:   25 tangent double angle formula Slope connection
  678.    wt: 2:   24 tangent Angle Difference Formula
  679.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  680.    wt: 2:   18 sum of sinusoidal waves as a single wave
  681.    wt: 2:   17G Pythagorean Theorem Converse
  682.    wt: 2:   17F Law of cosines
  683.    wt: 2:   17A The complex number valued trig function cis
  684.    wt: 2:   16 Right Triangle Complementary Angle Relations
  685.    wt: 2:   15 sine cosine Complementary Angle Relations
  686.    wt: 2:   14 cosine even and sine and tangent are odd
  687.    wt: 2:   8 Similarity of Triangles and Polygons
  688.    wt: 2:   7 Translations Rotations Reflections Dilatations
  689.    wt: 2:   6 Geometric Diagrams in Class
  690.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  691.    wt: 2:   4 Similarity Definition with Coordinate
  692.    wt: 2:   3 Similarity by Design with coordinates
  693.    wt: 2:   A Modular and Remainder Arithmetic
  694.    wt: 2:   A Signed Number Arithmetic Review
  695.    wt: 2:   26 More Less Greater Than Comparison
  696.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  697.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  698.    wt: 2:   23 Distributive Law Two Derivations
  699.    wt: 2:   22 Multiplication of Signed Numbers
  700.    wt: 2:   21 Addition of Multiples of a Single Vector
  701.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  702.    wt: 2:   19 Signed Multiples of Vectors
  703.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  704.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  705.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  706.    wt: 2:   15 Head to Tails in place Addition Associative
  707.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  708.    wt: 2:   13 Arrows and Vectors in a Plane
  709.    wt: 2:   12 Real Numbers Line Signed Coordinates
  710.    wt: 2:   11 Signed Number Addition and Addition Properties
  711.    wt: 2:   E Long Division Methods more
  712.    wt: 2:   D Long Division Methods
  713.    wt: 2:   C Three Decimal Subtraction Methods
  714.    wt: 2:   B Decimal Comparison and Subtraction
  715.    wt: 2:   A Decimal Addition Columm Methods
  716.    wt: 2:   8 Column Multiplication Methods in General
  717.    wt: 2:   7 Decimals Multiplication Methods Examples
  718.    wt: 2:   6 Column Methods for Decimal Multiplication
  719.    wt: 2:   5 Distributive Law for Whole Numbers
  720.    wt: 2:   4 Commutative Law Groups Counting Form
  721.    wt: 2:   3 Multiplicative Counting Skills Principles
  722.    wt: 2:   2 Combing Counts Addition Skills and Principles
  723.    wt: 2:   1 The Counting Origins of Numbers
  724.    wt: 2:   5 Proportionality in Equivalent Fractions
  725.    wt: 2:   4 Rates Ratios and Proporitionality
  726.    wt: 2:   3 Proportionality Examples
  727.    wt: 2:   2 Algebraic View
  728.    wt: 2:   1 What is Proportionality
  729.    wt: 2:   16 Real Numbers Comparison
  730.    wt: 2:   15 Real Number Division
  731.    wt: 2:   14 Real Number Multiplication
  732.    wt: 2:   13 Real Number Subtraction
  733.    wt: 2:   12 Real Number Additive Inverses or Negatives
  734.    wt: 2:   11 Real Number Addition
  735.    wt: 2:   5 Independent versus Dependent Variables
  736.    wt: 2:   4 Changing Letters
  737.    wt: 2:   2 Computation Rules Evaluation
  738.    wt: 2:   Simple Exercises
  739.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  740.    wt: 2:   11 Volume of Sphere
  741.    wt: 2:   About Folder Contents
  742.    wt: 2:   4 Greater More Less Than Signs in General
  743.    wt: 2:   3 Comparison of Negative Numbers
  744.    wt: 2:   2 More and Less Than with Unlike Signs
  745.    wt: 2:   1 More and Less Than for Counts and Measures
  746.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  747.    wt: 2:   4 Counting with Trees Product Rule Take I
  748.    wt: 2:   3 Counting with Tables and Trees II
  749.    wt: 2:   2 Counting with Tables and Trees I
  750.    wt: 2:   1 Counting and Counting Methods I
  751.    wt: 2:   11 What are real lengths and numbers
  752.    wt: 2:   9 subtracting signed numbers
  753.    wt: 2:   8 multiplying signed numbers
  754.    wt: 2:   7 negative and additive inverse
  755.    wt: 2:   6 adding signed numbers
  756.    wt: 2:   5 lengths and signs of numbers
  757.    wt: 2:   4 signed coordinates for regions in space
  758.    wt: 2:   3 signed coordinates for maps and planes
  759.    wt: 2:   2 signed and unsigned numbers as coordinates
  760.    wt: 2:   D Three Term Ratios
  761.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  762.    wt: 2:   B Fractions and Two Term Ratios
  763.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  764.    wt: 2:   17 Efficient Ways to Add and Subtract
  765.    wt: 2:   16 Addition Subtraction Comparision Compared
  766.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  767.    wt: 2:   14 Adding and Subtracting with Like Denominators
  768.    wt: 2:   13 Fraction Comparison Algebraic View
  769.    wt: 2:   12 Fraction Comparison
  770.    wt: 2:   11 Simplification an Algebraic View
  771.    wt: 2:   9 Improper Fractions and Mixed Numbers
  772.    wt: 2:   8 Numerals Fractionals Quantals Take II
  773.    wt: 2:   7 Numerals Fractionals Quantals
  774.    wt: 2:   6 Multiplication of Mixed Numbers
  775.    wt: 2:   6 Multiplication Algebraically Take II
  776.    wt: 2:   5 Equivalent Fractions
  777.    wt: 2:   4 Fraction Multiplication
  778.    wt: 2:   3 Unit fraction of a fraction
  779.    wt: 2:   2 Unit Fraction Multiplication
  780.    wt: 2:   1 What is a fraction Take II
  781.    wt: 2:   1 What is a fraction
  782.    wt: 2:   D Remainders Modulo 11 Pair Rule
  783.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  784.    wt: 2:   B Integer Long Division Multiple Choices
  785.    wt: 2:   A Associative Law Theorectical Note
  786.    wt: 2:   13 Subtraction with Additive Inverse
  787.    wt: 2:   12 Adding Integers More Examples
  788.    wt: 2:   9 Multiplying Integers
  789.    wt: 2:   8 Multiplication by Signed Numbers Integers
  790.    wt: 2:   7 Multiplication by Signs
  791.    wt: 2:   6 Multiplication by Natural Numbers
  792.    wt: 2:   5 Zero Movement and Additive Inverses
  793.    wt: 2:   4 Adding Movements wiht opposite directions
  794.    wt: 2:   3 Adding Movements with same direction
  795.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  796.    wt: 2:   1 Integers as Coordinates
  797.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  798.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  799.    wt: 2:   26 Divisibility by 2 3 5 Example
  800.    wt: 2:   23 Remainder Arithmetic Modulo 2
  801.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  802.    wt: 2:   21 Remainder Arithmetic Modulo 3
  803.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  804.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  805.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  806.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  807.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  808.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  809.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  810.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  811.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  812.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  813.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  814.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  815.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  816.    wt: 2:   5 Remainder Arithmetic Modulo 5
  817.    wt: 2:   20 Uniqueness of Prime Factorization
  818.    wt: 2:   19 video Prime Factorization Unique
  819.    wt: 2:   18 video Count Factors given Prime Factorization
  820.    wt: 2:   17 Identify and Count Factors using Primes
  821.    wt: 2:   16 video Factors of 980 using prime
  822.    wt: 2:   15 video Factors of 20 using Prime Factorization
  823.    wt: 2:   14 video Factors of 24 Take II
  824.    wt: 2:   13 video Factors of 24 using prime
  825.    wt: 2:   12 LCD GCD and LCM using Primes
  826.    wt: 2:   11 Efficient Square Rule Use
  827.    wt: 2:   9 video Prime Factorization upto 19 squared
  828.    wt: 2:   8 video Prime Factorization upto 19
  829.    wt: 2:   7 Calculator Usage Notes and Cautions
  830.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  831.    wt: 2:   5 Prime Factorization and a Square Rule
  832.    wt: 2:   4 video Prime Factorization Introduction
  833.    wt: 2:   3 video Primes and Composites from 9 times table
  834.    wt: 2:   2 Prime and Composites less than 16
  835.    wt: 2:   1 video how Products are bigger than factor
  836.    wt: 2:   Long Division Backwards more
  837.    wt: 2:   Long Division Backward
  838.    wt: 2:   Division with Counts and Length
  839.    wt: 2:   Long Division forwards and backwards Example 3
  840.    wt: 2:   Long Division forwards and backwards Example 2
  841.    wt: 2:   Long Division forwards and backwards Example 1
  842.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  843.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  844.    wt: 2:   Video Power Notation in Decimal Expansion
  845.    wt: 2:   Subtraction with J Conversions Example
  846.    wt: 2:   Subtraction Another Video Lesson
  847.    wt: 2:   11 Place Value SI Standard International way
  848.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  849.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  850.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  851.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  852.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  853.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  854.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  855.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  856.    wt: 2:   About folder contents
  857.    wt: 2:   Example 1 volume of a pyramid
  858.    wt: 2:   Example 1. Area Between x and x squared
  859.    wt: 2:   Example 4 with x function of y
  860.    wt: 2:   Example 3
  861.    wt: 2:   Area Between Curves Lesson Take 2
  862.    wt: 2:   A Related Material in Volume 3
  863.    wt: 2:   A Related lessons in Volume 3
  864.    wt: 2:   A Chain Rule Real Player video examples
  865.    wt: 2:   34 Derivative of exponential function
  866.    wt: 2:   33 Chain Rule Real Player video examples
  867.    wt: 2:   30Chain Rule A Proof
  868.    wt: 2:   25 Chain Rule Animated Examples Continued
  869.    wt: 2:   24 Chain Rule Animated Examples
  870.    wt: 2:   23 Chain Rule in general
  871.    wt: 2:   22 Chain Rule for polynomials
  872.    wt: 2:   21 Chain Rule for powers
  873.    wt: 2:   20 Chain Rule for Pulley Systems
  874.    wt: 2:   17 Derivatives of quotients of sine and cosine
  875.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  876.    wt: 2:   14 sine and cosine derivatives 2nd step
  877.    wt: 2:   13 sine and cosine derivatives 1st step
  878.    wt: 2:   11 Quotient rule
  879.    wt: 2:   9 Reciprocal rule
  880.    wt: 2:   8 Differentiation of polynomials
  881.    wt: 2:   7 Animated Differentiation Examples
  882.    wt: 2:   6 Power rule from product rule
  883.    wt: 2:   5 Product Rule
  884.    wt: 2:   4 Sum Rule
  885.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  886.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  887.    wt: 2:   11 Limits at infinity Three Examples
  888.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  889.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  890.    wt: 2:   F.2 Closed Range Theorem
  891.    wt: 2:   F.1 What Functions are Continuous
  892.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  893.    wt: 2:   Chapter 10 Slopes and Units
  894.    wt: 2:   Foreword
  895.    wt: 2:   Chapter 19. Functions and Sets
  896.    wt: 2:   Chapter 15. Solving Linear Equations
  897.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  898.    wt: 2:   Foreword
  899.    wt: 2:   Chapter 10 Transition
  900.    wt: 2:   Chapter 10 Responsibility
  901.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  902.    wt: 2:   S Adding words to algebra
  903.    wt: 2:   R Why Learn Mathematics Skills
  904.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  905.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  906.    wt: 2:   O On Learning Mathematics and Science
  907.    wt: 2:   N Mathematics Prepare for College Studies
  908.    wt: 2:   M Words to extend arithmetic
  909.    wt: 2:   L Skills with take home value
  910.    wt: 2:   N Improving Marks on Tests and Finals
  911.    wt: 2:   I. Logic and language skills
  912.    wt: 2:   H Jigsaw puzzles and problem solving
  913.    wt: 2:   G. Written work formats for developing and showing skill
  914.    wt: 2:   F. The student teacher tutor feedback loop
  915.    wt: 2:   E. When and how to correct errors
  916.    wt: 2:   D. Check work a must with a caution
  917.    wt: 2:   C. Domino effect of being careful
  918.    wt: 2:   B. Domino effect of errors
  919.    wt: 2:   A. Skill has to be seen to believed
  920.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  921.    wt: 2:   Chapter 8 Skipped Topics and Why
  922.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  923.    wt: 2:   Chapter 3 Algebra Starter Lessons
  924.    wt: 2:   Chapter 2 Why Sets
  925.    wt: 2:   Chapter 1 Arithmetic
  926.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  927.    wt: 2:   7 Games and Activities for Instruction
  928.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  929.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  930.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  931.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  932.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  933.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  934.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  935.    wt: 1:   Skills Chapter 5 Calculus
  936.    wt: 1:   Skills Chapter 4 Logic
  937.    wt: 1:   Ramblings Extrinsic numbers theory
  938.    wt: 1:   Ramblings Introduction Algebra Essay
  939.    wt: 1:   Skills Chapter 3 Algebra
  940.    wt: 1:   4 Energy Power Heat09
  941.    wt: 1:   3 Energy Power Heat08
  942.    wt: 1:   2 Energy Power Heat07
  943.    wt: 1:   1 Energy Power Heat06
  944.    wt: 1:   E Energy Power05
  945.    wt: 1:   D Energy Power04
  946.    wt: 1:   C Energy Power03
  947.    wt: 1:   B Energy Power02
  948.    wt: 1:   1 Conductance Resistance Duality01
  949.    wt: 1:   F Wire Resistance Calculation04
  950.    wt: 1:   E Wire Resistance Calculation03
  951.    wt: 1:   D Wire Resistance Calculation02
  952.    wt: 1:   C Wire Resistance Calculation01
  953.    wt: 1:   B Wire Resistance Qualitative02
  954.    wt: 1:   A Wire Resistance Qualitative01
  955.    wt: 1:   3 Like resistors in parallel
  956.    wt: 1:   8 Notes for instructors or tutors
  957.    wt: 1:   7 Links Lessons Elsewhere
  958.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  959.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  960.    wt: 1:   4 Polynomials Long division linear divisor
  961.    wt: 1:   3 Polynomials Multiplication Addition
  962.    wt: 1:   2 Column Multiplication Method
  963.    wt: 1:   1 Polynomials Distributive Law
  964.    wt: 1:   musings do not puiblish real numbers
  965.    wt: 1:   6 Three Notions of What is a Variable
  966.    wt: 1:   5 Talking about Numbers and Quantities
  967.    wt: 1:   4 A Brief Story of numbers and algebra
  968.    wt: 1:   3 Adding Words To Arithmetic
  969.    wt: 1:   2 What is a Variable
  970.    wt: 1:   1 Three Skills For Algebra
  971.    wt: 1:   5 Square Roots with primes more still
  972.    wt: 1:   4 Square Roots with primes more
  973.    wt: 1:   3 Properties of Square Roots with example
  974.    wt: 1:   2 Square Roots with Prime
  975.    wt: 1:   1 Squares and Square Roots Introduction
  976.    wt: 1:   7 Converting or Changing Units
  977.    wt: 1:   6 Simplification of Fractions with Units
  978.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  979.    wt: 1:   4 Fractions with Units
  980.    wt: 1:   3 Multiplying Units and Numbers
  981.    wt: 1:   2 Equality and Units
  982.    wt: 1:   1 Addition and Subtraction with Units
  983.    wt: 1:   22 Complex Compound Fractions
  984.    wt: 1:   21 Working With Signs
  985.    wt: 1:   21 Reciprocals for Fractions and Wholes
  986.    wt: 1:   20 Dividing Fractions the Why
  987.    wt: 1:   19 Dividing Fractions How TO
  988.    wt: 1:   18 Efficient Ways to Multiply
  989.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  990.    wt: 1:   Quick history of numbers and algebra
  991.    wt: 1:   Exact Arithmetic Wholes and Fractions
  992.    wt: 1:   Formula Evaluation how to show work
  993.    wt: 1:   Expression Evaluation how to show work
  994.    wt: 1:   The 20 Times Table
  995.    wt: 1:   The 12 Times Table Visually
  996.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  997.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  998.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  999.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1000.    wt: 1:   G.5 Motions With Bounded Velocities
  1001.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1002.    wt: 1:   G.3 Constant Difference Theorem Proof
  1003.    wt: 1:   F.5b Extreme Value Theorem
  1004.    wt: 1:   F.5a Equicontinuity Theorems
  1005.    wt: 1:   F.4 Finite Covering Theorem
  1006.    wt: 1:   F.3 Intermediate Value Theorem
  1007.    wt: 1:   E2 Algebraic Properties of Limits
  1008.    wt: 1:   E1 Error Control Inequalities
  1009.    wt: 1:   D2 Limits of Monotone Sequences
  1010.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  1011.    wt: 1:   C Triangle Inequalities
  1012.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1013.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1014.    wt: 1:   PostScript For and Against Decimal Perspectives
  1015.    wt: 1:   A1. Introduction
  1016.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  1017.    wt: 1:   Chapter 21 Arrow Addition
  1018.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  1019.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1020.    wt: 1:   Chapter 1.Introduction
  1021.    wt: 1:   Fall 1983 Calculus Appetizer
  1022.    wt: 1:   Postscript More on Better Performance
  1023.    wt: 1:   Postscript For Better Performance
  1024.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1025.    wt: 1:   Appendix D. What to do in School and Why
  1026.    wt: 1:   Appendix C. How to Read
  1027.    wt: 1:   Appendix B. How To Learn
  1028.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1029.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1030.    wt: 1:   Chapter 30 Truth Tables
  1031.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1032.    wt: 1:   Chapter 28 Occurrence Tables
  1033.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1034.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1035.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1036.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1037.    wt: 1:   Chapter 23. Notation For Sums
  1038.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  1039.    wt: 1:   Chapter 21. Third Reading Guide
  1040.    wt: 1:   Chapter 20. Degrees and Radians
  1041.    wt: 1:   Chapter 18. Rules for Algebra
  1042.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1043.    wt: 1:   Chapter 16. Painless Theorem Proving
  1044.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  1045.    wt: 1:   Chapter 13. Second Reading Guide
  1046.    wt: 1:   Chapter 12. Shorthand Usage Guide
  1047.    wt: 1:   Chapter 11. Why Shorthand
  1048.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1049.    wt: 1:   Chapter 8 Three Skills For Algebra
  1050.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1051.    wt: 1:   Chapter 6 Change of Language
  1052.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  1053.    wt: 1:   Chapter 4 Longer Chains of Reason
  1054.    wt: 1:   Chapter 3 Chains of Reason
  1055.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  1056.    wt: 1:   Postscript B Mathematics Education References
  1057.    wt: 1:   Chapter 11 Elementary Instruction
  1058.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1059.    wt: 1:   Chapter 1 Introduction
  1060.    wt: 1:   Foreword
  1061.    wt: 1:   Chapter 21 Occurrence Tables
  1062.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  1063.    wt: 1:   Chapter 11 Accidental Patterns
  1064.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1065.    wt: 1:   Chapter 1 Introduction
  1066.    wt: 1:   Three Remarks
  1067.    wt: 1:   Foreword
  1068.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1069.    wt: 1:   H more Routine to non routine problem solving
  1070.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  1071.    wt: 1:   Mathematics Education References
  1072.    wt: 1:   Mathematics Education References
  1073.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1074.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1075.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1076.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1077.    wt: 1:   Which Way To Go
  1078.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1079.    wt: 1:   Road Safety Questions
  1080.    wt: 1:   The Math Forum and Site Content
  1081.    wt: 1:   Site Reviews
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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