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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37 matches:

  1.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  2.    wt: 3:   Volume 1 Elements of Reason/
  3.    wt: 2:   4 Functions/
  4.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  5.    wt: 2:   4 Lines and Slopes Take 1/
  6.    wt: 2:   10 Examples of Algebraic Reasoning/
  7.    wt: 2:   Step 4 Gaussian Elimination/
  8.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  9.    wt: 2:   D Decimal Long Division Methods/
  10.    wt: 2:   5 Lessons on Integration/
  11.    wt: 2:   4 Lessons on Using Derivatives/
  12.    wt: 2:   Volume 2 Three Skills For Algebra/
  13.    wt: 2:   Volume 1A Pattern Based Reason/
  14.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  15.    wt: 1:   A Origins of Counting and Figuring Methods/
  16.    wt: 1:   4 Computation Rules and Function Notation/
  17.    wt: 1:   11 Squares and Square Roots/
  18.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 1:   9 Combinatorics Trees Tables and Products/
  20.    wt: 1:   8 Arithmetic with Signed Numbers/
  21.    wt: 1:   7 Arithmetic and Fractions with Units/
  22.    wt: 1:   6 Fractions and Ratios/
  23.    wt: 1:   5 Integers/
  24.    wt: 1:   3 Prime Factorization Skills/
  25.    wt: 1:   C Decimal Multiplication Methods/
  26.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  27.    wt: 1:   A Decimal Counting and Adding Methods/
  28.    wt: 1:   2 Arithmetic with Decimals/
  29.    wt: 1:   1 Decimal Place Value/
  30.    wt: 1:   Arithmetic and Number Theory Skills/
  31.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  32.    wt: 1:   38 Lessons on Calculating Derivatives/
  33.    wt: 1:   13 Lessons on Limits and Continuity/
  34.    wt: 1:   70 Calculus Starter Lessons/
  35.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  36.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  37.    wt: 1:   Volume 1B Mathematics Curriculum Notes/

Web Page Search

286 matches:

  1.    wt: 5:   Chapter 4 Longer Chains of Reason
  2.    wt: 4:   Chapter 7 Longer Chains of Reason
  3.    wt: 3:   4 Resultant of a Sum of Movements
  4.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 3:   14 video Factors of 24 Take II
  6.    wt: 3:   Chapter 3 Chains of Reason
  7.    wt: 3:   Chapter 6 Chains of Reason
  8.    wt: 2:   Different Kinds of Reasoning in maths
  9.    wt: 2:   three kinds of reason in mathematics
  10.    wt: 2:   chapitre 04 04 Parlons de la logique
  11.    wt: 2:   4 quadratics difference of two squares
  12.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  13.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  14.    wt: 2:   27 Logarithmic use of products of sines and cosines
  15.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  16.    wt: 2:   14 Law of cosines
  17.    wt: 2:   5 An Easy Proof of the Distributive Law
  18.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  19.    wt: 2:   21 Addition of Multiples of a Single Vector
  20.    wt: 2:   4 Location of Point in Decimal Addition
  21.    wt: 2:   4 Comparison of Negative Numbers
  22.    wt: 2:   4 A Brief Story of numbers and algebra
  23.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  24.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  25.    wt: 2:   4 LCM of 8 and 10 via Prime
  26.    wt: 2:   13 video Factors of 24 using prime
  27.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  28.    wt: 2:   4 Mixing and Changing Units of Time
  29.    wt: 2:   Example 4 with x function of y
  30.    wt: 2:   34 Derivative of exponential function
  31.    wt: 2:   17 Derivatives of quotients of sine and cosine
  32.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  33.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  34.    wt: 2:   Chapter 24 Direct and Indirect Reason
  35.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  36.    wt: 1:   Skills Chapter 4 Logic
  37.    wt: 1:   4 algebra
  38.    wt: 1:   Applied Maths Program14092009 POMME variant
  39.    wt: 1:   Mathematics Education Professors
  40.    wt: 1:   teaching tutoring algebraic reason
  41.    wt: 1:   04 29 New Mathematics Curriculum
  42.    wt: 1:   04 25 when to stop or suspend mathemat
  43.    wt: 1:   Theory of Knowledge
  44.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  45.    wt: 1:   chapitre 04 09 Regles accidentelles
  46.    wt: 1:   chapitre 04 08 Limitations et benefices
  47.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  48.    wt: 1:   chapitre 04 06 engagements
  49.    wt: 1:   chapitre 04 05 Implication versus suggestion
  50.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  51.    wt: 1:   chapitre 04 02 Deuxieme enigme
  52.    wt: 1:   chapitre 04 01 Premiere enigme
  53.    wt: 1:   chapitre 04 00 Les regles d implication
  54.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  55.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  56.    wt: 1:   4 Energy Power Heat09
  57.    wt: 1:   D Energy Power04
  58.    wt: 1:   F Wire Resistance Calculation04
  59.    wt: 1:   E Kirchoffs Second Law
  60.    wt: 1:   D Kirchoff First Law
  61.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  62.    wt: 1:   24 Standards For Skill Develoment Take II
  63.    wt: 1:   24 Standards For Skill Develoment
  64.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  65.    wt: 1:   14 Multiplication and Times Tables
  66.    wt: 1:   8 The Effect of Negative Remarks
  67.    wt: 1:   4 Learning Takes Time and Effort
  68.    wt: 1:   Ages 12 to 14 Skills with take home value
  69.    wt: 1:   Ages 12 to 14 Geometry
  70.    wt: 1:   Ages 12 to 14 Arithmetic
  71.    wt: 1:   Ages 4 plus to 5 plus
  72.    wt: 1:   Ages 3 plus to 4 plus
  73.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  74.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  75.    wt: 1:   sign monoticity analysis example 4
  76.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  77.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  78.    wt: 1:   15 Sign analysis of functions
  79.    wt: 1:   14 Surjections Injections Bijections
  80.    wt: 1:   8 Set view of relations and functions
  81.    wt: 1:   4 Function notation in and beyond mathematics
  82.    wt: 1:   2 Algebraic use of function notation
  83.    wt: 1:   1 Geometric Introduction of Function Notation
  84.    wt: 1:   8 quadratics backward use of various formulas
  85.    wt: 1:   4 Polynomials Long division linear divisor
  86.    wt: 1:   14 secant function Definition Graph and Inverse
  87.    wt: 1:   11 arctan left inverse of tangent Graph
  88.    wt: 1:   10 arctan left inverse of tangent Definition
  89.    wt: 1:   8 arcsin left inverse of sine Graph
  90.    wt: 1:   7 arcsin left inverse of sine Definition
  91.    wt: 1:   6 Graph of arccos function
  92.    wt: 1:   4 possible motivation for term arccos
  93.    wt: 1:   3 Left Inverse of cosine arccos definition
  94.    wt: 1:   8 Radian Measures of Common Angles
  95.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  96.    wt: 1:   2 Radian Measure Numerical Value of one degree
  97.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  98.    wt: 1:   4 graphing y=Asin(x c)
  99.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  100.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  101.    wt: 1:   Straight Lines Intersection of
  102.    wt: 1:   14 Straight Lines Equations General Case
  103.    wt: 1:   4 Tangent Function Properties
  104.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  105.    wt: 1:   32 seven rows of pascals triangle
  106.    wt: 1:   30 unit circle calculation of six trigonometric functions
  107.    wt: 1:   28 Expressing products of sines cosines as sums
  108.    wt: 1:   26 Formulas for products of sines and cosines
  109.    wt: 1:   24 tangent Angle Difference Formula
  110.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  111.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  112.    wt: 1:   18 sum of sinusoidal waves as a single wave
  113.    wt: 1:   17F Law of cosines
  114.    wt: 1:   14 cosine even and sine and tangent are odd
  115.    wt: 1:   13 Graph of tangent function many periods
  116.    wt: 1:   12 Graph of tangent function for one period
  117.    wt: 1:   10 Graphs of sines and cosines many periods
  118.    wt: 1:   9 Graphs of sine and cosine over one period
  119.    wt: 1:   8 period of tangent function
  120.    wt: 1:   7 period of sine and cosine
  121.    wt: 1:   Unit Circle Development of Trigonometry
  122.    wt: 1:   20 N th Roots of Complex Numbers
  123.    wt: 1:   19 N th Roots of Unity
  124.    wt: 1:   18 Sixth Roots of Unity
  125.    wt: 1:   17 Cube Roots of unity
  126.    wt: 1:   8 Unit Circle Development of Trigonometry
  127.    wt: 1:   6 Field Properties of Complex Number
  128.    wt: 1:   4 Multiplication Properties
  129.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  130.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  131.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  132.    wt: 1:   9 Similarity of Triangles Usual Criteria
  133.    wt: 1:   8 Similarity of Triangles and Polygons
  134.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  135.    wt: 1:   4 Similarity Definition with Coordinate
  136.    wt: 1:   1 Early Concept of Like or Similar Shapes
  137.    wt: 1:   10 Midpoint of [a b] and [b a]
  138.    wt: 1:   6 Intersection of lines by solving linear systems
  139.    wt: 1:   5 Algebraic View of Slopes
  140.    wt: 1:   4 Equations for lines three forms
  141.    wt: 1:   1 Numerical view of lines and their equations
  142.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  143.    wt: 1:   4 Polar Coordinates to and from
  144.    wt: 1:   17 Right Bisectors of Triangle Sides
  145.    wt: 1:   14 Parallel Lines Postulate
  146.    wt: 1:   9 Construction of a right bisector
  147.    wt: 1:   4 Side Side Side
  148.    wt: 1:   3 Isometry of Triangles Congruence
  149.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  150.    wt: 1:   4 Angles on Maps Plans drawn to scale
  151.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  152.    wt: 1:   22 Multiplication of Signed Numbers
  153.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  154.    wt: 1:   19 Signed Multiples of Vectors
  155.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  156.    wt: 1:   8 Division and Mulplication of Compound Fractions
  157.    wt: 1:   3 Location of Point in Decimal Multiplication
  158.    wt: 1:   4 Commutative Law Groups Counting Form
  159.    wt: 1:   1 The Counting Origins of Numbers
  160.    wt: 1:   5 Areas of Rectangles Revisited
  161.    wt: 1:   4 Fraction Operations Axiomatic Development
  162.    wt: 1:   4 Rates Ratios and Proporitionality
  163.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  164.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  165.    wt: 1:   4 Subtraction and Division Axioms
  166.    wt: 1:   14 Real Number Multiplication
  167.    wt: 1:   4 Rational Numbers
  168.    wt: 1:   4 Changing Letters
  169.    wt: 1:   4 GE III Animated Examples
  170.    wt: 1:   4 Solving a triangular system exercise
  171.    wt: 1:   4 Four Examples Fractional Coefficients
  172.    wt: 1:   4 Two Examples
  173.    wt: 1:   11 Volume of Sphere
  174.    wt: 1:   10 Volume of Pyramid
  175.    wt: 1:   9 Volume of Cone
  176.    wt: 1:   4 Circle Area Formula Example
  177.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  178.    wt: 1:   8 Sets of Numbers
  179.    wt: 1:   4 Subset Builder Notation
  180.    wt: 1:   6 Three Notions of What is a Variable
  181.    wt: 1:   4 Greater More Less Than Signs in General
  182.    wt: 1:   3 Comparison of Negative Numbers
  183.    wt: 1:   4 Square Roots with primes more
  184.    wt: 1:   3 Properties of Square Roots with example
  185.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  186.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  187.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  188.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  189.    wt: 1:   5 Common Divisors 60 45 via Prime
  190.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  191.    wt: 1:   4 Counting with Trees Product Rule Take I
  192.    wt: 1:   5 lengths and signs of numbers
  193.    wt: 1:   4 signed coordinates for regions in space
  194.    wt: 1:   6 Simplification of Fractions with Units
  195.    wt: 1:   4 Fractions with Units
  196.    wt: 1:   14 Adding and Subtracting with Like Denominators
  197.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  198.    wt: 1:   4 Fraction Multiplication
  199.    wt: 1:   3 Unit fraction of a fraction
  200.    wt: 1:   4 Adding Movements wiht opposite directions
  201.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  202.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  203.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  204.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  205.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  206.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  207.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  208.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  209.    wt: 1:   20 Uniqueness of Prime Factorization
  210.    wt: 1:   16 video Factors of 980 using prime
  211.    wt: 1:   15 video Factors of 20 using Prime Factorization
  212.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  213.    wt: 1:   4 video Prime Factorization Introduction
  214.    wt: 1:   4 Division with 2 Digit Divsors
  215.    wt: 1:   C Counting Areas with Powers of Ten
  216.    wt: 1:   B Powers of Ten
  217.    wt: 1:   4 Two and Three Digit Multipliers
  218.    wt: 1:   8 Subtraction with Units of Measure
  219.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  220.    wt: 1:   4. How to add with decimals B with conversions
  221.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  222.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  223.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  224.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  225.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  226.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  227.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  228.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  229.    wt: 1:   Quick history of numbers and algebra
  230.    wt: 1:   014 Counting Days with Calendars
  231.    wt: 1:   012 Division of Time Intervals by Time Intervals
  232.    wt: 1:   011 Division of Time Intervals By Numbers
  233.    wt: 1:   010 Repeated Addition of Time Intervals
  234.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  235.    wt: 1:   8 Addition of Time Intervals via subtotaling
  236.    wt: 1:   7 Addition of Time Intervals
  237.    wt: 1:   3 Units and Lengths of Time
  238.    wt: 1:   1 Intro of Kids To Time Date Skills
  239.    wt: 1:   Example 2 volume of a cone
  240.    wt: 1:   Example 1 volume of a pyramid
  241.    wt: 1:   Volume of Solid by Cross Sections Lesson
  242.    wt: 1:   4 Definite Integrals Evaluation Exercises
  243.    wt: 1:   4 Second derivative test exercise example
  244.    wt: 1:   31 Derivatives of inverse functions
  245.    wt: 1:   30Chain Rule A Proof
  246.    wt: 1:   28 Chain Rule Preparation for a Proof
  247.    wt: 1:   24 Chain Rule Animated Examples
  248.    wt: 1:   14 sine and cosine derivatives 2nd step
  249.    wt: 1:   8 Differentiation of polynomials
  250.    wt: 1:   4 Sum Rule
  251.    wt: 1:   5 Jumps and absence of unlimited error control
  252.    wt: 1:   4 Numerical properties
  253.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  254.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  255.    wt: 1:   G.3 Constant Difference Theorem Proof
  256.    wt: 1:   F.4 Finite Covering Theorem
  257.    wt: 1:   E2 Algebraic Properties of Limits
  258.    wt: 1:   D2 Limits of Monotone Sequences
  259.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  260.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  261.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  262.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  263.    wt: 1:   Chapter 4. More Slope Sign Analysis
  264.    wt: 1:   Chapter 31 Direct and Indirect Reason
  265.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  266.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  267.    wt: 1:   Chapter 6 Change of Language
  268.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  269.    wt: 1:   Chapter 7 Two Treatments of Geometry
  270.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  271.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  272.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  273.    wt: 1:   Postscript C Consistency as a Tool for Reason
  274.    wt: 1:   Postscript B More on Story Telling and Reason
  275.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  276.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  277.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  278.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  279.    wt: 1:   Chapter 8 Change of Language
  280.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  281.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  282.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  283.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  284.    wt: 1:   C. Domino effect of being careful
  285.    wt: 1:   B. Domino effect of errors
  286.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

Extended Search

702 matches:

  1.    wt: 8:   Chapter 4 Longer Chains of Reason
  2.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  3.    wt: 6:   Chapter 7 Longer Chains of Reason
  4.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  5.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  6.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  7.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  8.    wt: 5:   14 video Factors of 24 Take II
  9.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  10.    wt: 5:   Chapter 3 Chains of Reason
  11.    wt: 5:   Chapter 24 Direct and Indirect Reason
  12.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  13.    wt: 5:   Chapter 6 Chains of Reason
  14.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  15.    wt: 4:   14 Surjections Injections Bijections
  16.    wt: 4:   4 Function notation in and beyond mathematics
  17.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  18.    wt: 4:   4 Resultant of a Sum of Movements
  19.    wt: 4:   4 Equations for lines three forms
  20.    wt: 4:   4 GE III Animated Examples
  21.    wt: 4:   4 Greater More Less Than Signs in General
  22.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  23.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  24.    wt: 4:   23 Remainder Arithmetic Modulo 2
  25.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  26.    wt: 4:   21 Remainder Arithmetic Modulo 3
  27.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  28.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  29.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  30.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  31.    wt: 4:   4 Division with 2 Digit Divsors
  32.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  33.    wt: 4:   Example 4 with x function of y
  34.    wt: 4:   34 Derivative of exponential function
  35.    wt: 4:   17 Derivatives of quotients of sine and cosine
  36.    wt: 4:   Appendix D. What to do in School and Why
  37.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  38.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  39.    wt: 3:   sign monoticity analysis example 4
  40.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  41.    wt: 3:   15 Sign analysis of functions
  42.    wt: 3:   8 Set view of relations and functions
  43.    wt: 3:   2 Algebraic use of function notation
  44.    wt: 3:   1 Geometric Introduction of Function Notation
  45.    wt: 3:   8 Radian Measures of Common Angles
  46.    wt: 3:   2 Radian Measure Numerical Value of one degree
  47.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  48.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  49.    wt: 3:   14 Law of cosines
  50.    wt: 3:   Four Simple Exercises
  51.    wt: 3:   10 Midpoint of [a b] and [b a]
  52.    wt: 3:   6 Intersection of lines by solving linear systems
  53.    wt: 3:   5 Algebraic View of Slopes
  54.    wt: 3:   1 Numerical view of lines and their equations
  55.    wt: 3:   4 Commutative Law Groups Counting Form
  56.    wt: 3:   5 Areas of Rectangles Revisited
  57.    wt: 3:   4 Fraction Operations Axiomatic Development
  58.    wt: 3:   3 Comparison of Negative Numbers
  59.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  60.    wt: 3:   4 LCM of 8 and 10 via Prime
  61.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  62.    wt: 3:   4 signed coordinates for regions in space
  63.    wt: 3:   4 Fraction Multiplication
  64.    wt: 3:   4 Adding Movements wiht opposite directions
  65.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  66.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  67.    wt: 3:   26 Divisibility by 2 3 5 Example
  68.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  69.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  70.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  71.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  72.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  73.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  74.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  75.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  76.    wt: 3:   5 Remainder Arithmetic Modulo 5
  77.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  78.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  79.    wt: 3:   1 Remainder Arithmetic Modulo 10
  80.    wt: 3:   13 video Factors of 24 using prime
  81.    wt: 3:   4 video Prime Factorization Introduction
  82.    wt: 3:   Long Division Backwards more
  83.    wt: 3:   4 Two and Three Digit Multipliers
  84.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  85.    wt: 3:   4. How to add with decimals B with conversions
  86.    wt: 3:   4 Definite Integrals Evaluation Exercises
  87.    wt: 3:   2 Indefinite Integrals Exercises
  88.    wt: 3:   4 Second derivative test exercise example
  89.    wt: 3:   3 Second derivative test
  90.    wt: 3:   24 Chain Rule Animated Examples
  91.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  92.    wt: 3:   14 sine and cosine derivatives 2nd step
  93.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  94.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  95.    wt: 3:   Chapter 4. More Slope Sign Analysis
  96.    wt: 3:   Appendix E. How To Study Mathematics and Why
  97.    wt: 3:   Appendix C. How to Read
  98.    wt: 3:   Appendix B. How To Learn
  99.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  100.    wt: 3:   Chapter 31 Direct and Indirect Reason
  101.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  102.    wt: 3:   Chapter 6 Change of Language
  103.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  104.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  105.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  106.    wt: 3:   Postscript C Consistency as a Tool for Reason
  107.    wt: 3:   Postscript B More on Story Telling and Reason
  108.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  109.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  110.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  111.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  112.    wt: 3:   Chapter 8 Change of Language
  113.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  114.    wt: 2:   Skills Chapter 4 Logic
  115.    wt: 2:   4 algebra
  116.    wt: 2:   Mathematics Education Professors
  117.    wt: 2:   Different Kinds of Reasoning in maths
  118.    wt: 2:   three kinds of reason in mathematics
  119.    wt: 2:   chapitre 04 04 Parlons de la logique
  120.    wt: 2:   D Energy Power04
  121.    wt: 2:   24 Standards For Skill Develoment Take II
  122.    wt: 2:   24 Standards For Skill Develoment
  123.    wt: 2:   14 Multiplication and Times Tables
  124.    wt: 2:   4 Learning Takes Time and Effort
  125.    wt: 2:   Ages 4 plus to 5 plus
  126.    wt: 2:   26 Function definitions done and coming
  127.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  128.    wt: 2:   23 Inverse Functions
  129.    wt: 2:   22 Square Root function graphically
  130.    wt: 2:   20 Interchanging coordinates a reflection
  131.    wt: 2:   19 Horizontal line rule and method
  132.    wt: 2:   18 Vertical Line Rule and Method
  133.    wt: 2:   17 Function maxima minima and their location
  134.    wt: 2:   16 Increasing or decreasing on intervals
  135.    wt: 2:   13 From one to one to many to one
  136.    wt: 2:   12 Function Domain Recognition Exercises
  137.    wt: 2:   11 Function Domain Range Source and Targets
  138.    wt: 2:   10 Interval Notation
  139.    wt: 2:   9 Set theory term relation possible origins
  140.    wt: 2:   7 Functions with finite domains
  141.    wt: 2:   6 Set Existence Formation and Notation
  142.    wt: 2:   5 Function notation for geometric transformations
  143.    wt: 2:   3 Formula or function graphing exercise
  144.    wt: 2:   Introduction Reading Guide
  145.    wt: 2:   4 quadratics difference of two squares
  146.    wt: 2:   9 Summary Degrees to Radians and back
  147.    wt: 2:   7 Radian Measures in special Triangles
  148.    wt: 2:   6 Radian Measure to Degrees
  149.    wt: 2:   5 Degrees to Radian Measure
  150.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  151.    wt: 2:   1 Degrees and Radians Introduction
  152.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  153.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  154.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  155.    wt: 2:   27 Logarithmic use of products of sines and cosines
  156.    wt: 2:   7 period of sine and cosine
  157.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  158.    wt: 2:   5 An Easy Proof of the Distributive Law
  159.    wt: 2:   4 Multiplication Properties
  160.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  161.    wt: 2:   8 Similarity of Triangles and Polygons
  162.    wt: 2:   4 Similarity Definition with Coordinate
  163.    wt: 2:   12 Links Lessons elsewhere
  164.    wt: 2:   11 A Partial Summary
  165.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  166.    wt: 2:   8 Mid Point Formula
  167.    wt: 2:   7 Exercises to test skill and concept mastery
  168.    wt: 2:   3 Slope product for perpendicular lines
  169.    wt: 2:   2 point slope equation for a line
  170.    wt: 2:   What is and is not here
  171.    wt: 2:   4 Polar Coordinates to and from
  172.    wt: 2:   14 Parallel Lines Postulate
  173.    wt: 2:   4 Side Side Side
  174.    wt: 2:   21 Addition of Multiples of a Single Vector
  175.    wt: 2:   4 Location of Point in Decimal Addition
  176.    wt: 2:   1 The Counting Origins of Numbers
  177.    wt: 2:   3 Inequalities Algebraically
  178.    wt: 2:   2 Fraction Operations Physical Development
  179.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  180.    wt: 2:   4 Rates Ratios and Proporitionality
  181.    wt: 2:   4 Comparison of Negative Numbers
  182.    wt: 2:   4 Changing Letters
  183.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  184.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  185.    wt: 2:   3 GE III Equation Addition and Multiplication
  186.    wt: 2:   2 GE II Comparison
  187.    wt: 2:   1 GE Substitution four examples
  188.    wt: 2:   4 Solving a triangular system exercise
  189.    wt: 2:   4 Four Examples Fractional Coefficients
  190.    wt: 2:   4 Two Examples
  191.    wt: 2:   4 A Brief Story of numbers and algebra
  192.    wt: 2:   2 More and Less Than with Unlike Signs
  193.    wt: 2:   1 More and Less Than for Counts and Measures
  194.    wt: 2:   4 Square Roots with primes more
  195.    wt: 2:   3 Properties of Square Roots with example
  196.    wt: 2:   1 Squares and Square Roots Introduction
  197.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  198.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  199.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  200.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 2:   5 Common Divisors 60 45 via Prime
  202.    wt: 2:   4 Counting with Trees Product Rule Take I
  203.    wt: 2:   5 lengths and signs of numbers
  204.    wt: 2:   6 Simplification of Fractions with Units
  205.    wt: 2:   4 Fractions with Units
  206.    wt: 2:   14 Adding and Subtracting with Like Denominators
  207.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  208.    wt: 2:   3 Unit fraction of a fraction
  209.    wt: 2:   B Integer Long Division Multiple Choices
  210.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  211.    wt: 2:   20 Uniqueness of Prime Factorization
  212.    wt: 2:   16 video Factors of 980 using prime
  213.    wt: 2:   15 video Factors of 20 using Prime Factorization
  214.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  215.    wt: 2:   Long Division Backward
  216.    wt: 2:   Division with Counts and Length
  217.    wt: 2:   Long Division forwards and backwards Example 3
  218.    wt: 2:   Long Division forwards and backwards Example 2
  219.    wt: 2:   Long Division forwards and backwards Example 1
  220.    wt: 2:   12 Why Long Division Works Take III
  221.    wt: 2:   11 Another Single Digit Divisor Example
  222.    wt: 2:   10 Division by Five Long and Short Ways
  223.    wt: 2:   9 Why Long Division Works Take II
  224.    wt: 2:   8 Correcting the Mistake
  225.    wt: 2:   7 Long Divison Mistake Catching
  226.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  227.    wt: 2:   5 Long Division Include Zeroes or not
  228.    wt: 2:   3 Division Single Digit Divisor Example
  229.    wt: 2:   2 Division with Single Digit Divisors
  230.    wt: 2:   1 Divsion Physical Examples
  231.    wt: 2:   C Counting Areas with Powers of Ten
  232.    wt: 2:   B Powers of Ten
  233.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  234.    wt: 2:   Subtraction with J Conversions Example
  235.    wt: 2:   8 Subtraction with Units of Measure
  236.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  237.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  238.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  239.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  240.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  241.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  242.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  243.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  244.    wt: 2:   Quick history of numbers and algebra
  245.    wt: 2:   Formula Evaluation how to show work
  246.    wt: 2:   4 Mixing and Changing Units of Time
  247.    wt: 2:   Example 2 volume of a cone
  248.    wt: 2:   Example 1 volume of a pyramid
  249.    wt: 2:   Volume of Solid by Cross Sections Lesson
  250.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  251.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  252.    wt: 2:   A Related Material in Volume 3
  253.    wt: 2:   5 Area Under Curve Exercise
  254.    wt: 2:   3 Two Chain Rule Method Exercises
  255.    wt: 2:   1 Chain Rule in Reverse Integration Method
  256.    wt: 2:   A Related lessons in Volume 3
  257.    wt: 2:   2 Second derivative test prequel
  258.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  259.    wt: 2:   33 Chain Rule Real Player video examples
  260.    wt: 2:   31 Derivatives of inverse functions
  261.    wt: 2:   30Chain Rule A Proof
  262.    wt: 2:   28 Chain Rule Preparation for a Proof
  263.    wt: 2:   25 Chain Rule Animated Examples Continued
  264.    wt: 2:   23 Chain Rule in general
  265.    wt: 2:   13 sine and cosine derivatives 1st step
  266.    wt: 2:   8 Differentiation of polynomials
  267.    wt: 2:   6 Power rule from product rule
  268.    wt: 2:   4 Sum Rule
  269.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  270.    wt: 2:   5 Jumps and absence of unlimited error control
  271.    wt: 2:   4 Numerical properties
  272.    wt: 2:   .H1 First Fundamental Theorem of Calculus
  273.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  274.    wt: 2:   G.3 Constant Difference Theorem Proof
  275.    wt: 2:   F.5b Extreme Value Theorem
  276.    wt: 2:   F.4 Finite Covering Theorem
  277.    wt: 2:   E2 Algebraic Properties of Limits
  278.    wt: 2:   D2 Limits of Monotone Sequences
  279.    wt: 2:   C Triangle Inequalities
  280.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  281.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  282.    wt: 2:   Postscript More on Better Performance
  283.    wt: 2:   Postscript For Better Performance
  284.    wt: 2:   Chapter 30 Truth Tables
  285.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  286.    wt: 2:   Chapter 28 Occurrence Tables
  287.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  288.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  289.    wt: 2:   Chapter 25. Mathematical Induction Examples
  290.    wt: 2:   Chapter 25. Mathematical Induction Examples
  291.    wt: 2:   Chapter 23. Notation For Sums
  292.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  293.    wt: 2:   Chapter 21. Third Reading Guide
  294.    wt: 2:   Chapter 20. Degrees and Radians
  295.    wt: 2:   Chapter 19. Functions and Sets
  296.    wt: 2:   Chapter 18. Rules for Algebra
  297.    wt: 2:   Chapter 16. Painless Theorem Proving
  298.    wt: 2:   Chapter 15. Solving Linear Equations
  299.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  300.    wt: 2:   Chapter 13. Second Reading Guide
  301.    wt: 2:   Chapter 12. Shorthand Usage Guide
  302.    wt: 2:   Chapter 11. Why Shorthand
  303.    wt: 2:   Chapter 10 Describing and Changing Calculations
  304.    wt: 2:   Postscript What is a Variable
  305.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  306.    wt: 2:   Chapter 8 Three Skills For Algebra
  307.    wt: 2:   Solutions For Arithmetic Exercises
  308.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  309.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  310.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  311.    wt: 2:   Foreword
  312.    wt: 2:   Postscript B Mathematics Education References
  313.    wt: 2:   Chapter 7 Two Treatments of Geometry
  314.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  315.    wt: 2:   Postscript A Story Telling
  316.    wt: 2:   Chapter 23 Truth Tables
  317.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  318.    wt: 2:   Chapter 21 Occurrence Tables
  319.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  320.    wt: 2:   Chapter 18 Sense and Knowledge
  321.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  322.    wt: 2:   Chapter 15 Objective Processes
  323.    wt: 2:   Chapter 11 Accidental Patterns
  324.    wt: 2:   Chapter 10 Responsibility
  325.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  326.    wt: 2:   Chapter 5 Deception
  327.    wt: 2:   Chapter 2 Skill Development
  328.    wt: 2:   Chapter 1 Introduction
  329.    wt: 2:   Three Remarks
  330.    wt: 2:   Foreword
  331.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  332.    wt: 1:   K LAMP Musings Science Education
  333.    wt: 1:   J LAMP Introduction Extrinsic Origins
  334.    wt: 1:   I LAMP Introduction Study Habits
  335.    wt: 1:   H LAMP Introduction Instructional Concepts
  336.    wt: 1:   G LAMP Introduction Problem Solving Skills
  337.    wt: 1:   F LAMP Introduction Prerequisites
  338.    wt: 1:   E LAMP Introduction Modern Mathematics
  339.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  340.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  341.    wt: 1:   A Introduction Objectives
  342.    wt: 1:   Teach the teachers plus goals
  343.    wt: 1:   Applied Maths Program14092009 POMME variant
  344.    wt: 1:   site eurekas
  345.    wt: 1:   teacher certification
  346.    wt: 1:   modern education
  347.    wt: 1:   how letters appear
  348.    wt: 1:   geometric implications for algebra
  349.    wt: 1:   teaching tutoring algebraic reason
  350.    wt: 1:   04 29 New Mathematics Curriculum
  351.    wt: 1:   04 25 when to stop or suspend mathemat
  352.    wt: 1:   Theory of Knowledge
  353.    wt: 1:   Education in mathematics science and technology
  354.    wt: 1:   Leaner mathematics curriculum
  355.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  356.    wt: 1:   chapitre 04 09 Regles accidentelles
  357.    wt: 1:   chapitre 04 08 Limitations et benefices
  358.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  359.    wt: 1:   chapitre 04 06 engagements
  360.    wt: 1:   chapitre 04 05 Implication versus suggestion
  361.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  362.    wt: 1:   chapitre 04 02 Deuxieme enigme
  363.    wt: 1:   chapitre 04 01 Premiere enigme
  364.    wt: 1:   chapitre 04 00 Les regles d implication
  365.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  366.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  367.    wt: 1:   4 Energy Power Heat09
  368.    wt: 1:   F Wire Resistance Calculation04
  369.    wt: 1:   B Wire Resistance Qualitative02
  370.    wt: 1:   E Kirchoffs Second Law
  371.    wt: 1:   D Kirchoff First Law
  372.    wt: 1:   C Electromotive force conventional current02
  373.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  374.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  375.    wt: 1:   8 The Effect of Negative Remarks
  376.    wt: 1:   Ages 12 to 14 Skills with take home value
  377.    wt: 1:   Ages 12 to 14 Geometry
  378.    wt: 1:   Ages 12 to 14 Arithmetic
  379.    wt: 1:   Ages 3 plus to 4 plus
  380.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  381.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  382.    wt: 1:   sign monoticity analysis example 3
  383.    wt: 1:   sign monoticity analysis example 2
  384.    wt: 1:   sign monoticity analysis example 1
  385.    wt: 1:   8 quadratics backward use of various formulas
  386.    wt: 1:   4 Polynomials Long division linear divisor
  387.    wt: 1:   14 secant function Definition Graph and Inverse
  388.    wt: 1:   11 arctan left inverse of tangent Graph
  389.    wt: 1:   10 arctan left inverse of tangent Definition
  390.    wt: 1:   8 arcsin left inverse of sine Graph
  391.    wt: 1:   7 arcsin left inverse of sine Definition
  392.    wt: 1:   6 Graph of arccos function
  393.    wt: 1:   4 possible motivation for term arccos
  394.    wt: 1:   3 Left Inverse of cosine arccos definition
  395.    wt: 1:   5 Head To Tail Arrow Addition
  396.    wt: 1:   4 graphing y=Asin(x c)
  397.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  398.    wt: 1:   Triangle Angles Sum To 180 Degrees
  399.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  400.    wt: 1:   Straight Lines ASA Intersection Study More
  401.    wt: 1:   Straight Lines ASA Intersection Study
  402.    wt: 1:   Straight Lines Instersection Solving Equations
  403.    wt: 1:   Straight Lines Intersection of
  404.    wt: 1:   14 Straight Lines Equations General Case
  405.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  406.    wt: 1:   4 Tangent Function Properties
  407.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  408.    wt: 1:   32 seven rows of pascals triangle
  409.    wt: 1:   30 unit circle calculation of six trigonometric functions
  410.    wt: 1:   28 Expressing products of sines cosines as sums
  411.    wt: 1:   26 Formulas for products of sines and cosines
  412.    wt: 1:   25 tangent double angle formula Slope connection
  413.    wt: 1:   24 tangent Angle Difference Formula
  414.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  415.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  416.    wt: 1:   18 sum of sinusoidal waves as a single wave
  417.    wt: 1:   17F Law of cosines
  418.    wt: 1:   16 Right Triangle Complementary Angle Relations
  419.    wt: 1:   14 cosine even and sine and tangent are odd
  420.    wt: 1:   13 Graph of tangent function many periods
  421.    wt: 1:   12 Graph of tangent function for one period
  422.    wt: 1:   10 Graphs of sines and cosines many periods
  423.    wt: 1:   9 Graphs of sine and cosine over one period
  424.    wt: 1:   8 period of tangent function
  425.    wt: 1:   Unit Circle Development of Trigonometry
  426.    wt: 1:   20 N th Roots of Complex Numbers
  427.    wt: 1:   19 N th Roots of Unity
  428.    wt: 1:   18 Sixth Roots of Unity
  429.    wt: 1:   17 Cube Roots of unity
  430.    wt: 1:   8 Unit Circle Development of Trigonometry
  431.    wt: 1:   6 Field Properties of Complex Number
  432.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  433.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  434.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  435.    wt: 1:   9 Similarity of Triangles Usual Criteria
  436.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  437.    wt: 1:   1 Early Concept of Like or Similar Shapes
  438.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  439.    wt: 1:   PS D Addition with Cartesian Coordinates
  440.    wt: 1:   17 Right Bisectors of Triangle Sides
  441.    wt: 1:   9 Construction of a right bisector
  442.    wt: 1:   3 Isometry of Triangles Congruence
  443.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  444.    wt: 1:   4 Angles on Maps Plans drawn to scale
  445.    wt: 1:   A Modular and Remainder Arithmetic
  446.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  447.    wt: 1:   22 Multiplication of Signed Numbers
  448.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  449.    wt: 1:   19 Signed Multiples of Vectors
  450.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  451.    wt: 1:   8 Division and Mulplication of Compound Fractions
  452.    wt: 1:   3 Location of Point in Decimal Multiplication
  453.    wt: 1:   E Long Division Methods more
  454.    wt: 1:   D Long Division Methods
  455.    wt: 1:   C Three Decimal Subtraction Methods
  456.    wt: 1:   B Decimal Comparison and Subtraction
  457.    wt: 1:   A Decimal Addition Columm Methods
  458.    wt: 1:   8 Column Multiplication Methods in General
  459.    wt: 1:   7 Decimals Multiplication Methods Examples
  460.    wt: 1:   6 Column Methods for Decimal Multiplication
  461.    wt: 1:   5 Distributive Law for Whole Numbers
  462.    wt: 1:   3 Multiplicative Counting Skills Principles
  463.    wt: 1:   2 Combing Counts Addition Skills and Principles
  464.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  465.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  466.    wt: 1:   4 Subtraction and Division Axioms
  467.    wt: 1:   14 Real Number Multiplication
  468.    wt: 1:   4 Rational Numbers
  469.    wt: 1:   5 Independent versus Dependent Variables
  470.    wt: 1:   3 Geometric Formulas and Function Notation
  471.    wt: 1:   2 Computation Rules Evaluation
  472.    wt: 1:   1 Formulas Dependence and Function Notation
  473.    wt: 1:   Simple Exercises
  474.    wt: 1:   11 Volume of Sphere
  475.    wt: 1:   10 Volume of Pyramid
  476.    wt: 1:   9 Volume of Cone
  477.    wt: 1:   4 Circle Area Formula Example
  478.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  479.    wt: 1:   8 Sets of Numbers
  480.    wt: 1:   4 Subset Builder Notation
  481.    wt: 1:   6 Three Notions of What is a Variable
  482.    wt: 1:   arithmetic videos Real Player Format
  483.    wt: 1:   5 Square Roots with primes more still
  484.    wt: 1:   2 Square Roots with Prime
  485.    wt: 1:   13 GCD from given Prime Factorization
  486.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  487.    wt: 1:   8 GCD from Euclidean Algorithm
  488.    wt: 1:   7 GCD and LCM from prime factorization
  489.    wt: 1:   6 GCD from Prime
  490.    wt: 1:   2 Least Common Multiple LCM intro via list method
  491.    wt: 1:   1 Least Common Multiples LCM Introduction
  492.    wt: 1:   12 GCD 2700 288 via Prime
  493.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  494.    wt: 1:   3 Counting with Tables and Trees II
  495.    wt: 1:   2 Counting with Tables and Trees I
  496.    wt: 1:   1 Counting and Counting Methods I
  497.    wt: 1:   11 What are real lengths and numbers
  498.    wt: 1:   10 dividing signed numbers
  499.    wt: 1:   9 subtracting signed numbers
  500.    wt: 1:   8 multiplying signed numbers
  501.    wt: 1:   7 negative and additive inverse
  502.    wt: 1:   6 adding signed numbers
  503.    wt: 1:   3 signed coordinates for maps and planes
  504.    wt: 1:   2 signed and unsigned numbers as coordinates
  505.    wt: 1:   7 Converting or Changing Units
  506.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  507.    wt: 1:   3 Multiplying Units and Numbers
  508.    wt: 1:   2 Equality and Units
  509.    wt: 1:   1 Addition and Subtraction with Units
  510.    wt: 1:   D Three Term Ratios
  511.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  512.    wt: 1:   B Fractions and Two Term Ratios
  513.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  514.    wt: 1:   22 Complex Compound Fractions
  515.    wt: 1:   21 Working With Signs
  516.    wt: 1:   21 Reciprocals for Fractions and Wholes
  517.    wt: 1:   20 Dividing Fractions the Why
  518.    wt: 1:   19 Dividing Fractions How TO
  519.    wt: 1:   18 Efficient Ways to Multiply
  520.    wt: 1:   17 Efficient Ways to Add and Subtract
  521.    wt: 1:   16 Addition Subtraction Comparision Compared
  522.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  523.    wt: 1:   13 Fraction Comparison Algebraic View
  524.    wt: 1:   12 Fraction Comparison
  525.    wt: 1:   11 Simplification an Algebraic View
  526.    wt: 1:   9 Improper Fractions and Mixed Numbers
  527.    wt: 1:   8 Numerals Fractionals Quantals Take II
  528.    wt: 1:   7 Numerals Fractionals Quantals
  529.    wt: 1:   6 Multiplication Algebraically Take II
  530.    wt: 1:   5 Equivalent Fractions
  531.    wt: 1:   2 Unit Fraction Multiplication
  532.    wt: 1:   1 What is a fraction Take II
  533.    wt: 1:   1 What is a fraction
  534.    wt: 1:   D Remainders Modulo 11 Pair Rule
  535.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  536.    wt: 1:   A Associative Law Theorectical Note
  537.    wt: 1:   13 Subtraction with Additive Inverse
  538.    wt: 1:   12 Adding Integers More Examples
  539.    wt: 1:   11 Adding Integers Formulas and Examples
  540.    wt: 1:   10 Integer Multiplication Formulas
  541.    wt: 1:   9 Multiplying Integers
  542.    wt: 1:   8 Multiplication by Signed Numbers Integers
  543.    wt: 1:   7 Multiplication by Signs
  544.    wt: 1:   6 Multiplication by Natural Numbers
  545.    wt: 1:   5 Zero Movement and Additive Inverses
  546.    wt: 1:   3 Adding Movements with same direction
  547.    wt: 1:   1 Integers as Coordinates
  548.    wt: 1:   19 video Prime Factorization Unique
  549.    wt: 1:   18 video Count Factors given Prime Factorization
  550.    wt: 1:   17 Identify and Count Factors using Primes
  551.    wt: 1:   12 LCD GCD and LCM using Primes
  552.    wt: 1:   11 Efficient Square Rule Use
  553.    wt: 1:   10 video Prime Factorization upto 23 squared
  554.    wt: 1:   9 video Prime Factorization upto 19 squared
  555.    wt: 1:   8 video Prime Factorization upto 19
  556.    wt: 1:   7 Calculator Usage Notes and Cautions
  557.    wt: 1:   5 Prime Factorization and a Square Rule
  558.    wt: 1:   3 video Primes and Composites from 9 times table
  559.    wt: 1:   2 Prime and Composites less than 16
  560.    wt: 1:   1 video how Products are bigger than factor
  561.    wt: 1:   D Decimal Multiplication Methods Derived
  562.    wt: 1:   A Elementary Basis for Multiplication Methods
  563.    wt: 1:   6 Multiplication Commutes Order Not Important
  564.    wt: 1:   5 Decimal Fraction Multiplication
  565.    wt: 1:   3 More One Digit Multipliers
  566.    wt: 1:   2 One Digit Multipliers
  567.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  568.    wt: 1:   Video Power Notation in Decimal Expansion
  569.    wt: 1:   1 Why 3 times 5 gives 15
  570.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  571.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  572.    wt: 1:   Subtraction Another Video Lesson
  573.    wt: 1:   9 22 Minute Subtraction Review Video
  574.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  575.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  576.    wt: 1:   5 A Tip for Efficent Subtraction
  577.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  578.    wt: 1:   2 Subtraction Easy Case Examples
  579.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  580.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  581.    wt: 1:   8 What skills and work habits to require
  582.    wt: 1:   7 Adding decimal fractions using decimal point
  583.    wt: 1:   6. Counting and adding units and mixed units
  584.    wt: 1:   5. How to add decimals C. Examples
  585.    wt: 1:   3. How to add with decimals A sans conversions
  586.    wt: 1:   2 Decimal Counting Practices
  587.    wt: 1:   1. Explaining Addition Table
  588.    wt: 1:   11 Place Value SI Standard International way
  589.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  590.    wt: 1:   Exact Arithmetic Wholes and Fractions
  591.    wt: 1:   Expression Evaluation how to show work
  592.    wt: 1:   The 20 Times Table
  593.    wt: 1:   The 12 Times Table Visually
  594.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  595.    wt: 1:   About folder contents
  596.    wt: 1:   014 Counting Days with Calendars
  597.    wt: 1:   012 Division of Time Intervals by Time Intervals
  598.    wt: 1:   011 Division of Time Intervals By Numbers
  599.    wt: 1:   010 Repeated Addition of Time Intervals
  600.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  601.    wt: 1:   8 Addition of Time Intervals via subtotaling
  602.    wt: 1:   7 Addition of Time Intervals
  603.    wt: 1:   3 Units and Lengths of Time
  604.    wt: 1:   1 Intro of Kids To Time Date Skills
  605.    wt: 1:   Example 1. Area Between x and x squared
  606.    wt: 1:   Example 3
  607.    wt: 1:   Example 2
  608.    wt: 1:   Example 1
  609.    wt: 1:   Area Between Curves Lesson Take 2
  610.    wt: 1:   Area Between Curves Lesson Take 1
  611.    wt: 1:   Summary
  612.    wt: 1:   A Chain Rule Real Player video examples
  613.    wt: 1:   38 Formulas and derivatives for powers and roots
  614.    wt: 1:   36 Cube root derivative animated
  615.    wt: 1:   29 Chain Rule Optional Reading
  616.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  617.    wt: 1:   26 Chain Rule Recognising outer inner functions
  618.    wt: 1:   22 Chain Rule for polynomials
  619.    wt: 1:   21 Chain Rule for powers
  620.    wt: 1:   20 Chain Rule for Pulley Systems
  621.    wt: 1:   19 Chain Rule for linear functions
  622.    wt: 1:   18 Chain Rule Introduction
  623.    wt: 1:   15 sine and cosine derivatives 3rd step
  624.    wt: 1:   12 Quotient rule examples
  625.    wt: 1:   11 Quotient rule
  626.    wt: 1:   10 Power rule for negative integers
  627.    wt: 1:   9 Reciprocal rule
  628.    wt: 1:   7 Animated Differentiation Examples
  629.    wt: 1:   5 Product Rule
  630.    wt: 1:   3 Motivation for Limit Definition Take 2
  631.    wt: 1:   2 Motivation for Limit Definition Take 1
  632.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  633.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  634.    wt: 1:   11 Limits at infinity Three Examples
  635.    wt: 1:   10 Three one sided limits with infinite values
  636.    wt: 1:   9 Limits Continuity and Composition
  637.    wt: 1:   8 Four Animated Examples
  638.    wt: 1:   7 Evaluation by immediate or delayed substitution
  639.    wt: 1:   6 Continuity at a point
  640.    wt: 1:   3 Decimal insights for limits continuity convergence
  641.    wt: 1:   2 Algebraic codification
  642.    wt: 1:   1 Numerical introduction
  643.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  644.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  645.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  646.    wt: 1:   G.5 Motions With Bounded Velocities
  647.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  648.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  649.    wt: 1:   F.5a Equicontinuity Theorems
  650.    wt: 1:   F.3 Intermediate Value Theorem
  651.    wt: 1:   F.2 Closed Range Theorem
  652.    wt: 1:   F.1 What Functions are Continuous
  653.    wt: 1:   E1 Error Control Inequalities
  654.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  655.    wt: 1:   B3 Bolzano Weierstrass Theorem
  656.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  657.    wt: 1:   PostScript For and Against Decimal Perspectives
  658.    wt: 1:   A1. Introduction
  659.    wt: 1:   index
  660.    wt: 1:   Chapter 23 Links To Trigonometry
  661.    wt: 1:   Chapter 22 Complex Numbers
  662.    wt: 1:   Chapter 21 Arrow Addition
  663.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  664.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  665.    wt: 1:   Chapter 18. Slopes Areas Integration
  666.    wt: 1:   Chapter 17. Area Approximation
  667.    wt: 1:   Chapter 16. Velocity Approximation
  668.    wt: 1:   Chapter 15. Slope Approximation
  669.    wt: 1:   Chapter 13. Acceleration
  670.    wt: 1:   Chapter 12. Units and Slopes
  671.    wt: 1:   Chapter 11. Graphing Slope versus Position
  672.    wt: 1:   Chapter 10 Slopes and Units
  673.    wt: 1:   Chapter 9 About First Courses in Calculus
  674.    wt: 1:   Chapter 8. Slope Interpretation
  675.    wt: 1:   Chapter 7 Slopes and Velocity
  676.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  677.    wt: 1:   Chapter 5. Slope Sign Tests
  678.    wt: 1:   Chapter 3. Slope Sign Analysis
  679.    wt: 1:   Chapter 2. Slopes and Ski Trails
  680.    wt: 1:   Chapter 1.Introduction
  681.    wt: 1:   Fall 1983 Calculus Appetizer
  682.    wt: 1:   Foreword
  683.    wt: 1:   Annotated Links to Material Elsehwere
  684.    wt: 1:   Postscript A Three Remarks
  685.    wt: 1:   Chapter 12 Four Phases
  686.    wt: 1:   Chapter 11 Elementary Instruction
  687.    wt: 1:   Chapter 10 Transition
  688.    wt: 1:   Chapter 9 The Two Ends
  689.    wt: 1:   Chapter 8 Modern Instruction
  690.    wt: 1:   Chapter 5 Four References
  691.    wt: 1:   Chapter 3 Algebra Difficulties
  692.    wt: 1:   Chapter 2 For and Against Mathematics
  693.    wt: 1:   Chapter 1 Introduction
  694.    wt: 1:   Foreword
  695.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  696.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  697.    wt: 1:   N Mathematics Prepare for College Studies
  698.    wt: 1:   D. Check work a must with a caution
  699.    wt: 1:   C. Domino effect of being careful
  700.    wt: 1:   B. Domino effect of errors
  701.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  702.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

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