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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51 matches:

  1.    wt: 5:   11 Squares and Square Roots/
  2.    wt: 4:   11 Parallel Straight Lines and Transversals/
  3.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  5.    wt: 3:   1 Decimal Place Value/
  6.    wt: 3:   13 Lessons on Limits and Continuity/
  7.    wt: 2:   Mathematics Education Essays/
  8.    wt: 2:   Volume 1A Regles et modeles/
  9.    wt: 2:   Parent Center/
  10.    wt: 2:   1 Five Polynomial Operations/
  11.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  12.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 2:   13 Vectors/
  14.    wt: 2:   12 Function Translating and Rescaling/
  15.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  16.    wt: 2:   1 Maps Plans Measurement/
  17.    wt: 2:   10 Examples of Algebraic Reasoning/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   2 Formula Forward Use Evaluation/
  20.    wt: 2:   A Decimal Counting and Adding Methods/
  21.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  22.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  23.    wt: 2:   Volume 1A Pattern Based Reason/
  24.    wt: 1:   LAMP Lean Applied Mathematics Program/
  25.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  26.    wt: 1:   Mathematics Skills Year by Year/
  27.    wt: 1:   4 Lines and Slopes Take 1/
  28.    wt: 1:   9 Proportionality Backwards and Forwards/
  29.    wt: 1:   8 Unifying Theme For Algebra/
  30.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  31.    wt: 1:   1 Working With Sets/
  32.    wt: 1:   9 Combinatorics Trees Tables and Products/
  33.    wt: 1:   8 Arithmetic with Signed Numbers/
  34.    wt: 1:   7 Arithmetic and Fractions with Units/
  35.    wt: 1:   6 Fractions and Ratios/
  36.    wt: 1:   5 Integers/
  37.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  38.    wt: 1:   3 Prime Factorization Skills/
  39.    wt: 1:   D Decimal Long Division Methods/
  40.    wt: 1:   C Decimal Multiplication Methods/
  41.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  42.    wt: 1:   2 Arithmetic with Decimals/
  43.    wt: 1:   Arithmetic and Number Theory Skills/
  44.    wt: 1:   5 Lessons on Integration/
  45.    wt: 1:   4 Lessons on Using Derivatives/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   70 Calculus Starter Lessons/
  48.    wt: 1:   Volume 2 Three Skills For Algebra/
  49.    wt: 1:   Volume 1 Elements of Reason/
  50.    wt: 1:   Mathematics 506 Lessons/
  51.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

513 matches:

  1.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 3:   11 pure mathematics
  3.    wt: 3:   12 Goals and Objectives For Mathematics
  4.    wt: 3:   17E Trig Formulas for dot and cross Products
  5.    wt: 3:   17D cis formulas for sine cosines and tangent
  6.    wt: 3:   13 Trig Formulas for dot and cross Products
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   11 sine and cosine double triple angle formulas
  9.    wt: 3:   1 Written work formats for developing and showing skill
  10.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  11.    wt: 3:   11 Adding Integers Formulas and Examples
  12.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  13.    wt: 2:   Postscript 2007 01 10
  14.    wt: 2:   three goals for Mathematics Education
  15.    wt: 2:   02 21 words for teachers
  16.    wt: 2:   three aims for mathematics students
  17.    wt: 2:   formal or informal peer review
  18.    wt: 2:   need for a mixed mathematics curriculum
  19.    wt: 2:   Prequel In For A Penny In For A Pound
  20.    wt: 2:   words for mathematics instructor
  21.    wt: 2:   1 Conductance Resistance Duality01
  22.    wt: 2:   B Electromotive force conventional current01
  23.    wt: 2:   22 Student Centered Highschool Mathematics
  24.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  25.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  26.    wt: 2:   18 Primary School Mathematics
  27.    wt: 2:   17 Math Booklets for children and young teenagers
  28.    wt: 2:   16 Secondary Mathematics Tips
  29.    wt: 2:   15 Counting For Parents
  30.    wt: 2:   11 Help and Defend Your Child or Teens Education
  31.    wt: 2:   10 Ends values for work study instruction
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   Ages 12 to 14 Geometry
  34.    wt: 2:   Ages 12 to 14 Arithmetic
  35.    wt: 2:   Ages 10 to 12 Geometry
  36.    wt: 2:   Ages 10 to 12 Arithmetic
  37.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  38.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  39.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  40.    wt: 2:   11 Function Domain Range Source and Targets
  41.    wt: 2:   5 Function notation for geometric transformations
  42.    wt: 2:   11 Growth and Decay in Biology
  43.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  44.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  45.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  46.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  47.    wt: 2:   12 motivation for term arctan
  48.    wt: 2:   11 arctan left inverse of tangent Graph
  49.    wt: 2:   12 From Applied To Pure Mathematics
  50.    wt: 2:   11 Component Method
  51.    wt: 2:   11 Straight Lines Graphing y=mx
  52.    wt: 2:   17 tangent function angle sum formulas
  53.    wt: 2:   26 Formulas for products of sines and cosines
  54.    wt: 2:   21 sine and cosine Half Angle Formulas
  55.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  56.    wt: 2:   17C sine and cosine double triple angle formulas
  57.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  58.    wt: 2:   12 Graph of tangent function for one period
  59.    wt: 2:   11 tangent function undefined when terminal side vertical
  60.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  61.    wt: 2:   11 Triangle Similarity Missing Side Problem
  62.    wt: 2:   11 A Partial Summary
  63.    wt: 2:   4 Equations for lines three forms
  64.    wt: 2:   13 Pythagorean spatial distance formulas
  65.    wt: 2:   11 Triangle Inequality
  66.    wt: 2:   10 Pythagorean plane distance formula
  67.    wt: 2:   18 Triangle Similarity Take 1
  68.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  69.    wt: 2:   11 Triangle Construction Fails
  70.    wt: 2:   11 Signed Number Addition and Addition Properties
  71.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  72.    wt: 2:   11 Real Number Addition
  73.    wt: 2:   1 Formulas Dependence and Function Notation
  74.    wt: 2:   Formula Usage Show Work Format
  75.    wt: 2:   13 Naming Identifying Formulas with Words
  76.    wt: 2:   11 Volume of Sphere
  77.    wt: 2:   1 Three Skills For Algebra
  78.    wt: 2:   1 More and Less Than for Counts and Measures
  79.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  80.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  81.    wt: 2:   11 What are real lengths and numbers
  82.    wt: 2:   21 Reciprocals for Fractions and Wholes
  83.    wt: 2:   11 Simplification an Algebraic View
  84.    wt: 2:   D Remainders Modulo 11 Pair Rule
  85.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  86.    wt: 2:   10 Integer Multiplication Formulas
  87.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  88.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  89.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  90.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  91.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  92.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  93.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  94.    wt: 2:   1 Remainder Arithmetic Modulo 10
  95.    wt: 2:   11 Efficient Square Rule Use
  96.    wt: 2:   Long Division forwards and backwards Example 1
  97.    wt: 2:   11 Another Single Digit Divisor Example
  98.    wt: 2:   1 Why 3 times 5 gives 15
  99.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  100.    wt: 2:   11 Place Value SI Standard International way
  101.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  102.    wt: 2:   011 Division of Time Intervals By Numbers
  103.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  104.    wt: 2:   38 Formulas and derivatives for powers and roots
  105.    wt: 2:   21 Chain Rule for powers
  106.    wt: 2:   19 Chain Rule for linear functions
  107.    wt: 2:   13 sine and cosine derivatives 1st step
  108.    wt: 2:   11 Quotient rule
  109.    wt: 2:   10 Power rule for negative integers
  110.    wt: 2:   2 Motivation for Limit Definition Take 1
  111.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  112.    wt: 2:   11 Limits at infinity Three Examples
  113.    wt: 2:   Chapter 11. Graphing Slope versus Position
  114.    wt: 2:   Postscript For Better Performance
  115.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  116.    wt: 2:   Chapter 21. Third Reading Guide
  117.    wt: 2:   Chapter 18. Rules for Algebra
  118.    wt: 2:   Chapter 13. Second Reading Guide
  119.    wt: 2:   Chapter 12. Shorthand Usage Guide
  120.    wt: 2:   Chapter 11. Why Shorthand
  121.    wt: 2:   Chapter 11 Elementary Instruction
  122.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  123.    wt: 2:   Chapter 2 For and Against Mathematics
  124.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  125.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  126.    wt: 2:   Chapter 11 Accidental Patterns
  127.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  128.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  129.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  130.    wt: 2:   N Mathematics Prepare for College Studies
  131.    wt: 2:   G. Written work formats for developing and showing skill
  132.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  133.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  134.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  135.    wt: 1:   Appendix 2 primary school Arithmetic 01
  136.    wt: 1:   Appendix 1 primary and preschool mathematic
  137.    wt: 1:   E LAMP Introduction Modern Mathematics
  138.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  139.    wt: 1:   Skills Chapter 1 Arithmetic
  140.    wt: 1:   10 statistics
  141.    wt: 1:   1 arithmetic with unsigned numbers
  142.    wt: 1:   three goals to set for students
  143.    wt: 1:   permissions for teachers
  144.    wt: 1:   Applied Maths Program14092009 POMME variant
  145.    wt: 1:   activities for students
  146.    wt: 1:   Mathematics Education Professors
  147.    wt: 1:   mathematics in context
  148.    wt: 1:   Education Reform Inconsistencies
  149.    wt: 1:   Secondary Three Mathematics
  150.    wt: 1:   Secondary Two Mathematics
  151.    wt: 1:   Secondary One Mathematics
  152.    wt: 1:   mathematics curriculum shifts
  153.    wt: 1:   geometric implications for algebra
  154.    wt: 1:   05 13 OldSiteEntrancePage
  155.    wt: 1:   04 29 New Mathematics Curriculum
  156.    wt: 1:   02 20 mathematics education references
  157.    wt: 1:   standards for course material
  158.    wt: 1:   mathematics instruction in general
  159.    wt: 1:   Education in mathematics science and technology
  160.    wt: 1:   three kinds of reason in mathematics
  161.    wt: 1:   Four ways to improve education reform
  162.    wt: 1:   Leaner mathematics curriculum
  163.    wt: 1:   fairness and inductive principles for instruction
  164.    wt: 1:   chapitre 12 00 les iles et division
  165.    wt: 1:   chapitre 07 01 principle D induction mathematique
  166.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  167.    wt: 1:   chapitre 04 01 Premiere enigme
  168.    wt: 1:   chapitre 01 00 Introduction
  169.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  170.    wt: 1:   1 Energy Power Heat06
  171.    wt: 1:   A Energy Power01
  172.    wt: 1:   C Wire Resistance Calculation01
  173.    wt: 1:   A Wire Resistance Qualitative01
  174.    wt: 1:   2 Unlike resistors in parallel01
  175.    wt: 1:   1 Like resistors in series
  176.    wt: 1:   G Series Circuit01
  177.    wt: 1:   C Electromotive force conventional current02
  178.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  179.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  180.    wt: 1:   24 Standards For Skill Develoment Take II
  181.    wt: 1:   24 Standards For Skill Develoment
  182.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  183.    wt: 1:   14 Multiplication and Times Tables
  184.    wt: 1:   13 Addition and Addition Tables
  185.    wt: 1:   5 Patience Please for Yourself and Your Charges
  186.    wt: 1:   4 Learning Takes Time and Effort
  187.    wt: 1:   3 Preparing for Science Studies
  188.    wt: 1:   1 Speaking Skills
  189.    wt: 1:   Ages 9 to 10
  190.    wt: 1:   sign monoticity analysis example 1
  191.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  192.    wt: 1:   19 Horizontal line rule and method
  193.    wt: 1:   18 Vertical Line Rule and Method
  194.    wt: 1:   17 Function maxima minima and their location
  195.    wt: 1:   16 Increasing or decreasing on intervals
  196.    wt: 1:   15 Sign analysis of functions
  197.    wt: 1:   14 Surjections Injections Bijections
  198.    wt: 1:   13 From one to one to many to one
  199.    wt: 1:   12 Function Domain Recognition Exercises
  200.    wt: 1:   10 Interval Notation
  201.    wt: 1:   6 Set Existence Formation and Notation
  202.    wt: 1:   4 Function notation in and beyond mathematics
  203.    wt: 1:   3 Formula or function graphing exercise
  204.    wt: 1:   1 Geometric Introduction of Function Notation
  205.    wt: 1:   Introduction Reading Guide
  206.    wt: 1:   10 quadratic exercises
  207.    wt: 1:   8 quadratics backward use of various formulas
  208.    wt: 1:   7 quadratic formulla derivation
  209.    wt: 1:   1 quadratics graphing exercises
  210.    wt: 1:   Quadratics in 10 steps
  211.    wt: 1:   10 Exponential Growth and Decay Models
  212.    wt: 1:   1 Calculator Starter Exercises
  213.    wt: 1:   8 Notes for instructors or tutors
  214.    wt: 1:   1 Polynomials Distributive Law
  215.    wt: 1:   16 cotangent function Definition Graph and Inverse
  216.    wt: 1:   15 cosecant function Definition Graph and Inverse
  217.    wt: 1:   14 secant function Definition Graph and Inverse
  218.    wt: 1:   13 cosecant function Definition Graph and Inverse
  219.    wt: 1:   10 arctan left inverse of tangent Definition
  220.    wt: 1:   9 motivation for name arcsin
  221.    wt: 1:   4 possible motivation for term arccos
  222.    wt: 1:   1 cosine function properties
  223.    wt: 1:   1 Degrees and Radians Introduction
  224.    wt: 1:   15 Dot and Cross Product
  225.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  226.    wt: 1:   13 Velocity Vectors in Physics
  227.    wt: 1:   10 Parallelogram Addition Method
  228.    wt: 1:   1 Unsigned Coordinates
  229.    wt: 1:   1 graphing y=f(x a)
  230.    wt: 1:   Triangle Angles Sum To 180 Degrees
  231.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  232.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  233.    wt: 1:   14 Straight Lines Equations General Case
  234.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  235.    wt: 1:   12 Straight Lines Graphing mx plus b
  236.    wt: 1:   10 Straight Lines through Origin Equations More
  237.    wt: 1:   8 Straight Lines Equation for vertical
  238.    wt: 1:   1 Straight Lines Slope Concept
  239.    wt: 1:   31 basic secant cosecant cotangent trig identities
  240.    wt: 1:   29 secant cosecant and cotangent for acute angles
  241.    wt: 1:   25 tangent double angle formula Slope connection
  242.    wt: 1:   24 tangent Angle Difference Formula
  243.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  244.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  245.    wt: 1:   20 sine and cosine Double Angle Formulas
  246.    wt: 1:   18 sum of sinusoidal waves as a single wave
  247.    wt: 1:   17G Pythagorean Theorem Converse
  248.    wt: 1:   17F Law of cosines
  249.    wt: 1:   17A The complex number valued trig function cis
  250.    wt: 1:   16 Right Triangle Complementary Angle Relations
  251.    wt: 1:   15 sine cosine Complementary Angle Relations
  252.    wt: 1:   14 cosine even and sine and tangent are odd
  253.    wt: 1:   13 Graph of tangent function many periods
  254.    wt: 1:   10 Graphs of sines and cosines many periods
  255.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  256.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  257.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  258.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  259.    wt: 1:   1 Unit Points Reflections Rotations
  260.    wt: 1:   21 Logarithms Powers and Exponentials
  261.    wt: 1:   19 N th Roots of Unity
  262.    wt: 1:   18 Sixth Roots of Unity
  263.    wt: 1:   17 Cube Roots of unity
  264.    wt: 1:   16 References and Originality Question
  265.    wt: 1:   15 Pythagorean Theorem Converse
  266.    wt: 1:   14 Law of cosines
  267.    wt: 1:   1 Rectangular Polar Coordinates Review
  268.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  269.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  270.    wt: 1:   1 Angle Measurement with Degrees
  271.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  272.    wt: 1:   12 Triangles Similarity More Problems
  273.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  274.    wt: 1:   1 Early Concept of Like or Similar Shapes
  275.    wt: 1:   12 Links Lessons elsewhere
  276.    wt: 1:   10 Midpoint of [a b] and [b a]
  277.    wt: 1:   8 Mid Point Formula
  278.    wt: 1:   3 Slope product for perpendicular lines
  279.    wt: 1:   2 point slope equation for a line
  280.    wt: 1:   1 Numerical view of lines and their equations
  281.    wt: 1:   12 Spatial Coordinates
  282.    wt: 1:   1 Cartesian Coordinates sans signs
  283.    wt: 1:   PS H Distributive Law For Complex Numbers
  284.    wt: 1:   21 Parallelograms
  285.    wt: 1:   19 Right Triangle Similarity
  286.    wt: 1:   17 Right Bisectors of Triangle Sides
  287.    wt: 1:   16 Angles Subtended By Chords and Diameters
  288.    wt: 1:   14 Parallel Lines Postulate
  289.    wt: 1:   13 Angle Side Angle Failure
  290.    wt: 1:   12 Side Angle Side Failure
  291.    wt: 1:   10 Dropping a perpendicular to line
  292.    wt: 1:   1 Initial Concepts and Terms
  293.    wt: 1:   1 Length Measurement
  294.    wt: 1:   21 Addition of Multiples of a Single Vector
  295.    wt: 1:   19 Signed Multiples of Vectors
  296.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  297.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  298.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  299.    wt: 1:   15 Head to Tails in place Addition Associative
  300.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  301.    wt: 1:   13 Arrows and Vectors in a Plane
  302.    wt: 1:   12 Real Numbers Line Signed Coordinates
  303.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  304.    wt: 1:   1 Fractions with Finite Decimal Expansions
  305.    wt: 1:   6 Column Methods for Decimal Multiplication
  306.    wt: 1:   5 Distributive Law for Whole Numbers
  307.    wt: 1:   4 Commutative Law Groups Counting Form
  308.    wt: 1:   1 The Counting Origins of Numbers
  309.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  310.    wt: 1:   1 What is Proportionality
  311.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  312.    wt: 1:   6 Compound Interest Forward and Backwards
  313.    wt: 1:   5 Triangle Area Formula Backwards
  314.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  315.    wt: 1:   1 Changing Calculations
  316.    wt: 1:   3 Product Axioms Two Forms
  317.    wt: 1:   1 Equivalent Computation Rules
  318.    wt: 1:   2 More and Less Than for Counts and Measures
  319.    wt: 1:   1 Real Numbers Comparison
  320.    wt: 1:   16 Real Numbers Comparison
  321.    wt: 1:   15 Real Number Division
  322.    wt: 1:   14 Real Number Multiplication
  323.    wt: 1:   13 Real Number Subtraction
  324.    wt: 1:   12 Real Number Additive Inverses or Negatives
  325.    wt: 1:   10 Real Number Lengths and Signs
  326.    wt: 1:   9 Coordinates for Regions in Space
  327.    wt: 1:   8 Coordinates for Maps and Planes
  328.    wt: 1:   1 Whole and Natural Numbers
  329.    wt: 1:   3 Geometric Formulas and Function Notation
  330.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  331.    wt: 1:   1 GE Substitution four examples
  332.    wt: 1:   1 Essentially One Unknown
  333.    wt: 1:   1 Proper Equal Sign Usage
  334.    wt: 1:   10 One Example
  335.    wt: 1:   Using Letters for Physical Quantities
  336.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  337.    wt: 1:   10 Volume of Pyramid
  338.    wt: 1:   8 Compound Interest Formula Evaluation
  339.    wt: 1:   7 Compound Interest Formula Introduction
  340.    wt: 1:   5 Box Volume Formula Example
  341.    wt: 1:   4 Circle Area Formula Example
  342.    wt: 1:   3 Triangle Area Formula Example
  343.    wt: 1:   2 Another Rectangle Area Formula Example
  344.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  345.    wt: 1:   1 Finite Sets
  346.    wt: 1:   arithmetic videos Real Player Format
  347.    wt: 1:   1 Squares and Square Roots Introduction
  348.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  349.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  350.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  351.    wt: 1:   13 GCD from given Prime Factorization
  352.    wt: 1:   4 LCM of 8 and 10 via Prime
  353.    wt: 1:   1 Least Common Multiples LCM Introduction
  354.    wt: 1:   12 GCD 2700 288 via Prime
  355.    wt: 1:   1 Counting and Counting Methods I
  356.    wt: 1:   10 dividing signed numbers
  357.    wt: 1:   4 signed coordinates for regions in space
  358.    wt: 1:   3 signed coordinates for maps and planes
  359.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  360.    wt: 1:   1 Addition and Subtraction with Units
  361.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  362.    wt: 1:   21 Working With Signs
  363.    wt: 1:   19 Dividing Fractions How TO
  364.    wt: 1:   18 Efficient Ways to Multiply
  365.    wt: 1:   17 Efficient Ways to Add and Subtract
  366.    wt: 1:   16 Addition Subtraction Comparision Compared
  367.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  368.    wt: 1:   14 Adding and Subtracting with Like Denominators
  369.    wt: 1:   13 Fraction Comparison Algebraic View
  370.    wt: 1:   12 Fraction Comparison
  371.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  372.    wt: 1:   1 What is a fraction Take II
  373.    wt: 1:   1 What is a fraction
  374.    wt: 1:   13 Subtraction with Additive Inverse
  375.    wt: 1:   12 Adding Integers More Examples
  376.    wt: 1:   1 Integers as Coordinates
  377.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  378.    wt: 1:   21 Remainder Arithmetic Modulo 3
  379.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  380.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  381.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  382.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  383.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  384.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  385.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  386.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  387.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  388.    wt: 1:   19 video Prime Factorization Unique
  389.    wt: 1:   18 video Count Factors given Prime Factorization
  390.    wt: 1:   17 Identify and Count Factors using Primes
  391.    wt: 1:   16 video Factors of 980 using prime
  392.    wt: 1:   15 video Factors of 20 using Prime Factorization
  393.    wt: 1:   14 video Factors of 24 Take II
  394.    wt: 1:   13 video Factors of 24 using prime
  395.    wt: 1:   12 LCD GCD and LCM using Primes
  396.    wt: 1:   10 video Prime Factorization upto 23 squared
  397.    wt: 1:   9 video Prime Factorization upto 19 squared
  398.    wt: 1:   8 video Prime Factorization upto 19
  399.    wt: 1:   2 Prime and Composites less than 16
  400.    wt: 1:   1 video how Products are bigger than factor
  401.    wt: 1:   Long Division forwards and backwards Example 3
  402.    wt: 1:   Long Division forwards and backwards Example 2
  403.    wt: 1:   12 Why Long Division Works Take III
  404.    wt: 1:   10 Division by Five Long and Short Ways
  405.    wt: 1:   1 Divsion Physical Examples
  406.    wt: 1:   A Elementary Basis for Multiplication Methods
  407.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  408.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  409.    wt: 1:   5 A Tip for Efficent Subtraction
  410.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  411.    wt: 1:   1. Explaining Addition Table
  412.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  413.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  414.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  415.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  416.    wt: 1:   Formula Evaluation how to show work
  417.    wt: 1:   The 12 Times Table Visually
  418.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  419.    wt: 1:   016 Numbering Occidental Calendar Days
  420.    wt: 1:   015 School and work day counting tables
  421.    wt: 1:   014 Counting Days with Calendars
  422.    wt: 1:   013 Travel Time Tables
  423.    wt: 1:   012 Division of Time Intervals by Time Intervals
  424.    wt: 1:   010 Repeated Addition of Time Intervals
  425.    wt: 1:   1 Intro of Kids To Time Date Skills
  426.    wt: 1:   Example 1 volume of a pyramid
  427.    wt: 1:   Example 1. Area Between x and x squared
  428.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  429.    wt: 1:   Example 1
  430.    wt: 1:   Area Between Curves Lesson Take 1
  431.    wt: 1:   1 Chain Rule in Reverse Integration Method
  432.    wt: 1:   31 Derivatives of inverse functions
  433.    wt: 1:   28 Chain Rule Preparation for a Proof
  434.    wt: 1:   22 Chain Rule for polynomials
  435.    wt: 1:   20 Chain Rule for Pulley Systems
  436.    wt: 1:   18 Chain Rule Introduction
  437.    wt: 1:   17 Derivatives of quotients of sine and cosine
  438.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  439.    wt: 1:   15 sine and cosine derivatives 3rd step
  440.    wt: 1:   14 sine and cosine derivatives 2nd step
  441.    wt: 1:   12 Quotient rule examples
  442.    wt: 1:   3 Motivation for Limit Definition Take 2
  443.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  444.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  445.    wt: 1:   10 Three one sided limits with infinite values
  446.    wt: 1:   3 Decimal insights for limits continuity convergence
  447.    wt: 1:   1 Numerical introduction
  448.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  449.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  450.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  451.    wt: 1:   F.1 What Functions are Continuous
  452.    wt: 1:   E1 Error Control Inequalities
  453.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  454.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  455.    wt: 1:   PostScript For and Against Decimal Perspectives
  456.    wt: 1:   A1. Introduction
  457.    wt: 1:   Chapter 21 Arrow Addition
  458.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  459.    wt: 1:   Chapter 18. Slopes Areas Integration
  460.    wt: 1:   Chapter 17. Area Approximation
  461.    wt: 1:   Chapter 16. Velocity Approximation
  462.    wt: 1:   Chapter 15. Slope Approximation
  463.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  464.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  465.    wt: 1:   Chapter 13. Acceleration
  466.    wt: 1:   Chapter 12. Units and Slopes
  467.    wt: 1:   Chapter 10 Slopes and Units
  468.    wt: 1:   Chapter 1.Introduction
  469.    wt: 1:   Fall 1983 Calculus Appetizer
  470.    wt: 1:   Foreword
  471.    wt: 1:   Postscript More on Better Performance
  472.    wt: 1:   Appendix E. How To Study Mathematics and Why
  473.    wt: 1:   Chapter 31 Direct and Indirect Reason
  474.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  475.    wt: 1:   Chapter 23. Notation For Sums
  476.    wt: 1:   Chapter 19. Functions and Sets
  477.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  478.    wt: 1:   Chapter 16. Painless Theorem Proving
  479.    wt: 1:   Chapter 15. Solving Linear Equations
  480.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  481.    wt: 1:   Chapter 10 Describing and Changing Calculations
  482.    wt: 1:   Chapter 8 Three Skills For Algebra
  483.    wt: 1:   Solutions For Arithmetic Exercises
  484.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  485.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  486.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  487.    wt: 1:   Foreword
  488.    wt: 1:   Postscript B Mathematics Education References
  489.    wt: 1:   Chapter 12 Four Phases
  490.    wt: 1:   Chapter 10 Transition
  491.    wt: 1:   Chapter 1 Introduction
  492.    wt: 1:   Foreword
  493.    wt: 1:   Postscript C Consistency as a Tool for Reason
  494.    wt: 1:   Chapter 21 Occurrence Tables
  495.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  496.    wt: 1:   Chapter 18 Sense and Knowledge
  497.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  498.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  499.    wt: 1:   Chapter 15 Objective Processes
  500.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  501.    wt: 1:   Chapter 10 Responsibility
  502.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  503.    wt: 1:   Chapter 1 Introduction
  504.    wt: 1:   Foreword
  505.    wt: 1:   R Why Learn Mathematics Skills
  506.    wt: 1:   O On Learning Mathematics and Science
  507.    wt: 1:   Helping the Blind in Logic and Mathematics
  508.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  509.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  510.    wt: 1:   More Algebra and Slope based Calculus Preview
  511.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  512.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  513.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

957 matches:

  1.    wt: 9:   14 GCD of 650 110 via Primes LCM via Product Rule
  2.    wt: 9:   10 Euclid Algorithm with 129 125 and with 45 14
  3.    wt: 8:   1 Squares and Square Roots Introduction
  4.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  5.    wt: 7:   5 Square Roots with primes more still
  6.    wt: 7:   4 Square Roots with primes more
  7.    wt: 7:   3 Properties of Square Roots with example
  8.    wt: 7:   2 Square Roots with Prime
  9.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  10.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  11.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  12.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  13.    wt: 7:   11 Place Value SI Standard International way
  14.    wt: 6:   11 pure mathematics
  15.    wt: 6:   12 Goals and Objectives For Mathematics
  16.    wt: 6:   11 Help and Defend Your Child or Teens Education
  17.    wt: 6:   11 Component Method
  18.    wt: 6:   1 More and Less Than for Counts and Measures
  19.    wt: 6:   13 GCD from given Prime Factorization
  20.    wt: 6:   7 GCD and LCM from prime factorization
  21.    wt: 6:   4 LCM of 8 and 10 via Prime
  22.    wt: 6:   1 Least Common Multiples LCM Introduction
  23.    wt: 6:   12 GCD 2700 288 via Prime
  24.    wt: 6:   11 Adding Integers Formulas and Examples
  25.    wt: 6:   10 Names for Big Numbers and Powers of Ten Expansion
  26.    wt: 6:   11 Limits at infinity Three Examples
  27.    wt: 6:   10 Three one sided limits with infinite values
  28.    wt: 6:   Chapter 11 Elementary Instruction
  29.    wt: 6:   Chapter 11 Accidental Patterns
  30.    wt: 5:   Secondary Three Mathematics
  31.    wt: 5:   02 21 words for teachers
  32.    wt: 5:   three aims for mathematics students
  33.    wt: 5:   formal or informal peer review
  34.    wt: 5:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  36.    wt: 5:   18 Primary School Mathematics
  37.    wt: 5:   17 Math Booklets for children and young teenagers
  38.    wt: 5:   16 Secondary Mathematics Tips
  39.    wt: 5:   15 Counting For Parents
  40.    wt: 5:   10 Ends values for work study instruction
  41.    wt: 5:   12 From Applied To Pure Mathematics
  42.    wt: 5:   Triangle Angles Sum To 180 Degrees
  43.    wt: 5:   17 tangent function angle sum formulas
  44.    wt: 5:   17E Trig Formulas for dot and cross Products
  45.    wt: 5:   17D cis formulas for sine cosines and tangent
  46.    wt: 5:   11 sine and cosine double triple angle formulas
  47.    wt: 5:   11 A Partial Summary
  48.    wt: 5:   13 Naming Identifying Formulas with Words
  49.    wt: 5:   11 Volume of Sphere
  50.    wt: 5:   1 Written work formats for developing and showing skill
  51.    wt: 5:   8 GCD from Euclidean Algorithm
  52.    wt: 5:   6 GCD from Prime
  53.    wt: 5:   11 What are real lengths and numbers
  54.    wt: 5:   21 Reciprocals for Fractions and Wholes
  55.    wt: 5:   18 Efficient Ways to Multiply
  56.    wt: 5:   11 Efficient Square Rule Use
  57.    wt: 5:   Long Division forwards and backwards Example 1
  58.    wt: 5:   11 Another Single Digit Divisor Example
  59.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  60.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  61.    wt: 5:   Area Between Curves Lesson Take 2
  62.    wt: 5:   Area Between Curves Lesson Take 1
  63.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  64.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  65.    wt: 5:   1 Numerical introduction
  66.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  67.    wt: 5:   Chapter 11. Why Shorthand
  68.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  69.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  70.    wt: 4:   Skills Chapter 1 Arithmetic
  71.    wt: 4:   activities for students
  72.    wt: 4:   Mathematics Education Professors
  73.    wt: 4:   grouping students according to ability
  74.    wt: 4:   Postscript 2007 01 10
  75.    wt: 4:   Secondary Two Mathematics
  76.    wt: 4:   three goals for Mathematics Education
  77.    wt: 4:   05 13 OldSiteEntrancePage
  78.    wt: 4:   04 29 New Mathematics Curriculum
  79.    wt: 4:   02 20 mathematics education references
  80.    wt: 4:   standards for course material
  81.    wt: 4:   mathematics instruction in general
  82.    wt: 4:   Education in mathematics science and technology
  83.    wt: 4:   three kinds of reason in mathematics
  84.    wt: 4:   cultivating intelligence
  85.    wt: 4:   Four ways to improve education reform
  86.    wt: 4:   need for a mixed mathematics curriculum
  87.    wt: 4:   Prequel In For A Penny In For A Pound
  88.    wt: 4:   words for mathematics instructor
  89.    wt: 4:   22 Student Centered Highschool Mathematics
  90.    wt: 4:   14 Multiplication and Times Tables
  91.    wt: 4:   13 Addition and Addition Tables
  92.    wt: 4:   1 Speaking Skills
  93.    wt: 4:   Ages 12 to 14 Skills with take home value
  94.    wt: 4:   Ages 12 to 14 Geometry
  95.    wt: 4:   Ages 12 to 14 Arithmetic
  96.    wt: 4:   Ages 10 to 12 Geometry
  97.    wt: 4:   Ages 10 to 12 Arithmetic
  98.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  99.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  100.    wt: 4:   11 Function Domain Range Source and Targets
  101.    wt: 4:   11 Growth and Decay in Biology
  102.    wt: 4:   12 motivation for term arctan
  103.    wt: 4:   11 arctan left inverse of tangent Graph
  104.    wt: 4:   9 motivation for name arcsin
  105.    wt: 4:   4 possible motivation for term arccos
  106.    wt: 4:   1 cosine function properties
  107.    wt: 4:   15 Dot and Cross Product
  108.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  109.    wt: 4:   13 Velocity Vectors in Physics
  110.    wt: 4:   10 Parallelogram Addition Method
  111.    wt: 4:   1 Unsigned Coordinates
  112.    wt: 4:   Parallel Lines and Parallel Transversals
  113.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  114.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  115.    wt: 4:   Parallel Lines and Interior Angles
  116.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  117.    wt: 4:   17C sine and cosine double triple angle formulas
  118.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  119.    wt: 4:   14 cosine even and sine and tangent are odd
  120.    wt: 4:   13 Trig Formulas for dot and cross Products
  121.    wt: 4:   12 cis formulas for sine cosines and tangent
  122.    wt: 4:   11 Triangle Similarity Missing Side Problem
  123.    wt: 4:   11 Triangle Inequality
  124.    wt: 4:   11 Triangle Construction Fails
  125.    wt: 4:   Skill Development Notes
  126.    wt: 4:   10 One Example
  127.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  128.    wt: 4:   10 Volume of Pyramid
  129.    wt: 4:   5 Common Divisors 60 45 via Prime
  130.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  131.    wt: 4:   2 Least Common Multiple LCM intro via list method
  132.    wt: 4:   21 Working With Signs
  133.    wt: 4:   19 Dividing Fractions How TO
  134.    wt: 4:   17 Efficient Ways to Add and Subtract
  135.    wt: 4:   11 Simplification an Algebraic View
  136.    wt: 4:   1 What is a fraction Take II
  137.    wt: 4:   1 What is a fraction
  138.    wt: 4:   D Remainders Modulo 11 Pair Rule
  139.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  140.    wt: 4:   10 Integer Multiplication Formulas
  141.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  142.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  143.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  144.    wt: 4:   Long Division forwards and backwards Example 3
  145.    wt: 4:   1 Why 3 times 5 gives 15
  146.    wt: 4:   1. Explaining Addition Table
  147.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  148.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  149.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  150.    wt: 4:   38 Formulas and derivatives for powers and roots
  151.    wt: 4:   19 Chain Rule for linear functions
  152.    wt: 4:   9 Limits Continuity and Composition
  153.    wt: 4:   3 Decimal insights for limits continuity convergence
  154.    wt: 4:   Chapter 11. Graphing Slope versus Position
  155.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  156.    wt: 4:   Chapter 21. Third Reading Guide
  157.    wt: 4:   Chapter 18. Rules for Algebra
  158.    wt: 4:   Chapter 13. Second Reading Guide
  159.    wt: 4:   Chapter 12. Shorthand Usage Guide
  160.    wt: 4:   Postscript B Mathematics Education References
  161.    wt: 4:   Chapter 12 Four Phases
  162.    wt: 4:   Chapter 10 Transition
  163.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  164.    wt: 4:   Chapter 2 For and Against Mathematics
  165.    wt: 4:   Chapter 1 Introduction
  166.    wt: 4:   Chapter 21 Occurrence Tables
  167.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  168.    wt: 4:   Chapter 18 Sense and Knowledge
  169.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  170.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  171.    wt: 4:   Chapter 15 Objective Processes
  172.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  173.    wt: 4:   Chapter 10 Responsibility
  174.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  175.    wt: 4:   Chapter 1 Introduction
  176.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  177.    wt: 3:   10 statistics
  178.    wt: 3:   1 arithmetic with unsigned numbers
  179.    wt: 3:   which way to go
  180.    wt: 3:   three goals to set for students
  181.    wt: 3:   permissions for teachers
  182.    wt: 3:   Applied Maths Program14092009 POMME variant
  183.    wt: 3:   key notes and themes
  184.    wt: 3:   modern education
  185.    wt: 3:   learning takes time
  186.    wt: 3:   what should be learnt and When
  187.    wt: 3:   mathematics in context
  188.    wt: 3:   Education Reform Inconsistencies
  189.    wt: 3:   five decades make a difference
  190.    wt: 3:   Maps Plans Drawings
  191.    wt: 3:   how letters appear
  192.    wt: 3:   Secondary One Mathematics
  193.    wt: 3:   mathematics curriculum shifts
  194.    wt: 3:   geometric implications for algebra
  195.    wt: 3:   04 25 when to stop or suspend mathemat
  196.    wt: 3:   Operational Viewpoint to Value
  197.    wt: 3:   Theory of Knowledge
  198.    wt: 3:   Different Kinds of Reasoning in maths
  199.    wt: 3:   Leaner mathematics curriculum
  200.    wt: 3:   fairness and inductive principles for instruction
  201.    wt: 3:   chapitre 12 00 les iles et division
  202.    wt: 3:   chapitre 07 01 principle D induction mathematique
  203.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  204.    wt: 3:   chapitre 04 01 Premiere enigme
  205.    wt: 3:   chapitre 01 00 Introduction
  206.    wt: 3:   1 Conductance Resistance Duality01
  207.    wt: 3:   Home Tutoring and Home Schooling
  208.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  209.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  210.    wt: 3:   24 Standards For Skill Develoment Take II
  211.    wt: 3:   24 Standards For Skill Develoment
  212.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  213.    wt: 3:   5 Patience Please for Yourself and Your Charges
  214.    wt: 3:   4 Learning Takes Time and Effort
  215.    wt: 3:   3 Preparing for Science Studies
  216.    wt: 3:   Objectives for Mathematics and Logic Language Skill Development
  217.    wt: 3:   10 quadratic exercises
  218.    wt: 3:   8 Notes for instructors or tutors
  219.    wt: 3:   1 Polynomials Distributive Law
  220.    wt: 3:   16 cotangent function Definition Graph and Inverse
  221.    wt: 3:   15 cosecant function Definition Graph and Inverse
  222.    wt: 3:   14 secant function Definition Graph and Inverse
  223.    wt: 3:   13 cosecant function Definition Graph and Inverse
  224.    wt: 3:   10 arctan left inverse of tangent Definition
  225.    wt: 3:   8 arcsin left inverse of sine Graph
  226.    wt: 3:   7 arcsin left inverse of sine Definition
  227.    wt: 3:   6 Graph of arccos function
  228.    wt: 3:   5 Swapping Coordinates is a reflection
  229.    wt: 3:   3 Left Inverse of cosine arccos definition
  230.    wt: 3:   2 cosine function more properties
  231.    wt: 3:   2 Radian Measure Numerical Value of one degree
  232.    wt: 3:   1 Degrees and Radians Introduction
  233.    wt: 3:   1 graphing y=f(x a)
  234.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  235.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  236.    wt: 3:   Straight Lines ASA Intersection Study
  237.    wt: 3:   26 Formulas for products of sines and cosines
  238.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  239.    wt: 3:   21 sine and cosine Half Angle Formulas
  240.    wt: 3:   20 sine and cosine Double Angle Formulas
  241.    wt: 3:   18 sum of sinusoidal waves as a single wave
  242.    wt: 3:   17G Pythagorean Theorem Converse
  243.    wt: 3:   17F Law of cosines
  244.    wt: 3:   17A The complex number valued trig function cis
  245.    wt: 3:   16 Right Triangle Complementary Angle Relations
  246.    wt: 3:   15 sine cosine Complementary Angle Relations
  247.    wt: 3:   13 Graph of tangent function many periods
  248.    wt: 3:   12 Graph of tangent function for one period
  249.    wt: 3:   11 tangent function undefined when terminal side vertical
  250.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  251.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  252.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  253.    wt: 3:   12 Links Lessons elsewhere
  254.    wt: 3:   10 Midpoint of [a b] and [b a]
  255.    wt: 3:   4 Equations for lines three forms
  256.    wt: 3:   1 Numerical view of lines and their equations
  257.    wt: 3:   13 Pythagorean spatial distance formulas
  258.    wt: 3:   10 Pythagorean plane distance formula
  259.    wt: 3:   18 Triangle Similarity Take 1
  260.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  261.    wt: 3:   1 Length Measurement
  262.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  263.    wt: 3:   1 What is Proportionality
  264.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  265.    wt: 3:   1 Formulas Dependence and Function Notation
  266.    wt: 3:   1 Proper Equal Sign Usage
  267.    wt: 3:   8 Compound Interest Formula Evaluation
  268.    wt: 3:   7 Compound Interest Formula Introduction
  269.    wt: 3:   5 Box Volume Formula Example
  270.    wt: 3:   4 Circle Area Formula Example
  271.    wt: 3:   3 Triangle Area Formula Example
  272.    wt: 3:   2 Another Rectangle Area Formula Example
  273.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  274.    wt: 3:   1 Three Skills For Algebra
  275.    wt: 3:   4 Greater More Less Than Signs in General
  276.    wt: 3:   3 Comparison of Negative Numbers
  277.    wt: 3:   2 More and Less Than with Unlike Signs
  278.    wt: 3:   10 dividing signed numbers
  279.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  280.    wt: 3:   1 Addition and Subtraction with Units
  281.    wt: 3:   22 Complex Compound Fractions
  282.    wt: 3:   20 Dividing Fractions the Why
  283.    wt: 3:   16 Addition Subtraction Comparision Compared
  284.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  285.    wt: 3:   14 Adding and Subtracting with Like Denominators
  286.    wt: 3:   13 Fraction Comparison Algebraic View
  287.    wt: 3:   12 Fraction Comparison
  288.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  289.    wt: 3:   13 Subtraction with Additive Inverse
  290.    wt: 3:   12 Adding Integers More Examples
  291.    wt: 3:   1 Integers as Coordinates
  292.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  293.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  294.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  295.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  296.    wt: 3:   1 Remainder Arithmetic Modulo 10
  297.    wt: 3:   19 video Prime Factorization Unique
  298.    wt: 3:   18 video Count Factors given Prime Factorization
  299.    wt: 3:   17 Identify and Count Factors using Primes
  300.    wt: 3:   16 video Factors of 980 using prime
  301.    wt: 3:   15 video Factors of 20 using Prime Factorization
  302.    wt: 3:   14 video Factors of 24 Take II
  303.    wt: 3:   13 video Factors of 24 using prime
  304.    wt: 3:   12 LCD GCD and LCM using Primes
  305.    wt: 3:   10 video Prime Factorization upto 23 squared
  306.    wt: 3:   1 video how Products are bigger than factor
  307.    wt: 3:   Division with Counts and Length
  308.    wt: 3:   Long Division forwards and backwards Example 2
  309.    wt: 3:   12 Why Long Division Works Take III
  310.    wt: 3:   10 Division by Five Long and Short Ways
  311.    wt: 3:   1 Divsion Physical Examples
  312.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  313.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  314.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  315.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  316.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  317.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  318.    wt: 3:   011 Division of Time Intervals By Numbers
  319.    wt: 3:   Example 2 volume of a cone
  320.    wt: 3:   Example 1 volume of a pyramid
  321.    wt: 3:   Example 1. Area Between x and x squared
  322.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  323.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  324.    wt: 3:   Example 2
  325.    wt: 3:   Example 1
  326.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  327.    wt: 3:   21 Chain Rule for powers
  328.    wt: 3:   20 Chain Rule for Pulley Systems
  329.    wt: 3:   13 sine and cosine derivatives 1st step
  330.    wt: 3:   11 Quotient rule
  331.    wt: 3:   10 Power rule for negative integers
  332.    wt: 3:   3 Motivation for Limit Definition Take 2
  333.    wt: 3:   2 Motivation for Limit Definition Take 1
  334.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  335.    wt: 3:   8 Four Animated Examples
  336.    wt: 3:   7 Evaluation by immediate or delayed substitution
  337.    wt: 3:   6 Continuity at a point
  338.    wt: 3:   5 Jumps and absence of unlimited error control
  339.    wt: 3:   4 Numerical properties
  340.    wt: 3:   2 Algebraic codification
  341.    wt: 3:   Postscript For Better Performance
  342.    wt: 3:   Chapter 31 Direct and Indirect Reason
  343.    wt: 3:   Chapter 19. Functions and Sets
  344.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  345.    wt: 3:   Chapter 16. Painless Theorem Proving
  346.    wt: 3:   Chapter 15. Solving Linear Equations
  347.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  348.    wt: 3:   Chapter 10 Describing and Changing Calculations
  349.    wt: 3:   Solutions For Arithmetic Exercises
  350.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  351.    wt: 3:   Annotated Links to Material Elsehwere
  352.    wt: 3:   Postscript A Three Remarks
  353.    wt: 3:   Foreword
  354.    wt: 3:   Postscript C Consistency as a Tool for Reason
  355.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  356.    wt: 3:   Foreword
  357.    wt: 3:   N Mathematics Prepare for College Studies
  358.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  359.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  360.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  361.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  362.    wt: 2:   Appendix 2 primary school Arithmetic 01
  363.    wt: 2:   Appendix 1 primary and preschool mathematic
  364.    wt: 2:   E LAMP Introduction Modern Mathematics
  365.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  366.    wt: 2:   Skills Chapter 5 Calculus
  367.    wt: 2:   Skills Chapter 4 Logic
  368.    wt: 2:   Ramblings Extrinsic numbers theory
  369.    wt: 2:   Ramblings Introduction Algebra Essay
  370.    wt: 2:   Skills Chapter 3 Algebra
  371.    wt: 2:   Skills Chapter 2 Geometry
  372.    wt: 2:   Skills Chapter 0 Introduction
  373.    wt: 2:   why bother
  374.    wt: 2:   website reviews
  375.    wt: 2:   Teach the teachers plus goals
  376.    wt: 2:   Math Ed if it must be short make it lean effective
  377.    wt: 2:   links Education Resources online
  378.    wt: 2:   site origins
  379.    wt: 2:   site eurekas
  380.    wt: 2:   About site lesson plans
  381.    wt: 2:   teacher certification
  382.    wt: 2:   talk the algebra talk
  383.    wt: 2:   three difficulties
  384.    wt: 2:   teaching tips
  385.    wt: 2:   What to Tell Students
  386.    wt: 2:   teaching tutoring algebraic reason
  387.    wt: 2:   Lessening Algebra Difficulties
  388.    wt: 2:   the trouble with algebra
  389.    wt: 2:   How to be a better instructor
  390.    wt: 2:   Motivation and Context Problem
  391.    wt: 2:   education an empirical art
  392.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  393.    wt: 2:   chapitre 06 00 Chaines de la raison
  394.    wt: 2:   chapitre 05 00 Deception
  395.    wt: 2:   chapitre 04 09 Regles accidentelles
  396.    wt: 2:   chapitre 04 08 Limitations et benefices
  397.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  398.    wt: 2:   chapitre 04 06 engagements
  399.    wt: 2:   chapitre 04 05 Implication versus suggestion
  400.    wt: 2:   chapitre 04 04 Parlons de la logique
  401.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  402.    wt: 2:   chapitre 04 02 Deuxieme enigme
  403.    wt: 2:   chapitre 04 00 Les regles d implication
  404.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  405.    wt: 2:   chapitre 02 00 La Communication des idees
  406.    wt: 2:   problemes responses
  407.    wt: 2:   A Energy Power01
  408.    wt: 2:   C Wire Resistance Calculation01
  409.    wt: 2:   A Wire Resistance Qualitative01
  410.    wt: 2:   2 Unlike resistors in parallel01
  411.    wt: 2:   1 Like resistors in series
  412.    wt: 2:   B Electromotive force conventional current01
  413.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  414.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  415.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  416.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  417.    wt: 2:   9 Streaming by Student Cooperation
  418.    wt: 2:   8 The Effect of Negative Remarks
  419.    wt: 2:   7 Student Motivation
  420.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  421.    wt: 2:   2 Reading and Writing Skills
  422.    wt: 2:   Ages 9 to 10
  423.    wt: 2:   sign monoticity analysis example 1
  424.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  425.    wt: 2:   19 Horizontal line rule and method
  426.    wt: 2:   18 Vertical Line Rule and Method
  427.    wt: 2:   17 Function maxima minima and their location
  428.    wt: 2:   16 Increasing or decreasing on intervals
  429.    wt: 2:   15 Sign analysis of functions
  430.    wt: 2:   14 Surjections Injections Bijections
  431.    wt: 2:   13 From one to one to many to one
  432.    wt: 2:   12 Function Domain Recognition Exercises
  433.    wt: 2:   10 Interval Notation
  434.    wt: 2:   5 Function notation for geometric transformations
  435.    wt: 2:   1 Geometric Introduction of Function Notation
  436.    wt: 2:   8 quadratics backward use of various formulas
  437.    wt: 2:   7 quadratic formulla derivation
  438.    wt: 2:   1 quadratics graphing exercises
  439.    wt: 2:   10 Exponential Growth and Decay Models
  440.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  441.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  442.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  443.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  444.    wt: 2:   1 Calculator Starter Exercises
  445.    wt: 2:   7 Links Lessons Elsewhere
  446.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  447.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  448.    wt: 2:   4 Polynomials Long division linear divisor
  449.    wt: 2:   3 Polynomials Multiplication Addition
  450.    wt: 2:   2 Column Multiplication Method
  451.    wt: 2:   9 Summary Degrees to Radians and back
  452.    wt: 2:   8 Radian Measures of Common Angles
  453.    wt: 2:   7 Radian Measures in special Triangles
  454.    wt: 2:   6 Radian Measure to Degrees
  455.    wt: 2:   5 Degrees to Radian Measure
  456.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  457.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  458.    wt: 2:   A Global Time and Navigation
  459.    wt: 2:   9 Head to Tail Coordinate View
  460.    wt: 2:   8 Parallel Vectors
  461.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  462.    wt: 2:   6 Vectors with Coordinates
  463.    wt: 2:   5 Head To Tail Arrow Addition
  464.    wt: 2:   4 Resultant of a Sum of Movements
  465.    wt: 2:   3 Navigation with Arrows or Vectors
  466.    wt: 2:   2 Signed Coordinates
  467.    wt: 2:   Vector and Complex Number Applet
  468.    wt: 2:   4 graphing y=Asin(x c)
  469.    wt: 2:   3 graphing y=f(x c) plus K
  470.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  471.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  472.    wt: 2:   Straight Lines ASA Intersection Study More
  473.    wt: 2:   Straight Lines Instersection Solving Equations
  474.    wt: 2:   Straight Lines Intersection of
  475.    wt: 2:   11 Straight Lines Graphing y=mx
  476.    wt: 2:   10 Straight Lines through Origin Equations More
  477.    wt: 2:   1 Straight Lines Slope Concept
  478.    wt: 2:   32 seven rows of pascals triangle
  479.    wt: 2:   31 basic secant cosecant cotangent trig identities
  480.    wt: 2:   29 secant cosecant and cotangent for acute angles
  481.    wt: 2:   25 tangent double angle formula Slope connection
  482.    wt: 2:   24 tangent Angle Difference Formula
  483.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  484.    wt: 2:   10 Graphs of sines and cosines many periods
  485.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  486.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  487.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  488.    wt: 2:   21 Logarithms Powers and Exponentials
  489.    wt: 2:   19 N th Roots of Unity
  490.    wt: 2:   18 Sixth Roots of Unity
  491.    wt: 2:   17 Cube Roots of unity
  492.    wt: 2:   16 References and Originality Question
  493.    wt: 2:   15 Pythagorean Theorem Converse
  494.    wt: 2:   14 Law of cosines
  495.    wt: 2:   1 Rectangular Polar Coordinates Review
  496.    wt: 2:   1 Angle Measurement with Degrees
  497.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  498.    wt: 2:   12 Triangles Similarity More Problems
  499.    wt: 2:   3 Similarity by Design with coordinates
  500.    wt: 2:   1 Early Concept of Like or Similar Shapes
  501.    wt: 2:   Four Simple Exercises
  502.    wt: 2:   8 Mid Point Formula
  503.    wt: 2:   3 Slope product for perpendicular lines
  504.    wt: 2:   2 point slope equation for a line
  505.    wt: 2:   12 Spatial Coordinates
  506.    wt: 2:   1 Cartesian Coordinates sans signs
  507.    wt: 2:   21 Parallelograms
  508.    wt: 2:   19 Right Triangle Similarity
  509.    wt: 2:   17 Right Bisectors of Triangle Sides
  510.    wt: 2:   16 Angles Subtended By Chords and Diameters
  511.    wt: 2:   14 Parallel Lines Postulate
  512.    wt: 2:   13 Angle Side Angle Failure
  513.    wt: 2:   12 Side Angle Side Failure
  514.    wt: 2:   10 Dropping a perpendicular to line
  515.    wt: 2:   1 Initial Concepts and Terms
  516.    wt: 2:   A Measurement with Ruler Proper Use
  517.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  518.    wt: 2:   6 Figuring with Maps Not to Scale
  519.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  520.    wt: 2:   4 Angles on Maps Plans drawn to scale
  521.    wt: 2:   3 Lengths and Areas on Maps and Plans
  522.    wt: 2:   2 Measuring Area Directly
  523.    wt: 2:   11 Signed Number Addition and Addition Properties
  524.    wt: 2:   1 Fractions with Finite Decimal Expansions
  525.    wt: 2:   1 The Counting Origins of Numbers
  526.    wt: 2:   5 Areas of Rectangles Revisited
  527.    wt: 2:   4 Fraction Operations Axiomatic Development
  528.    wt: 2:   3 Inequalities Algebraically
  529.    wt: 2:   2 Fraction Operations Physical Development
  530.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  531.    wt: 2:   6 Compound Interest Forward and Backwards
  532.    wt: 2:   5 Triangle Area Formula Backwards
  533.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  534.    wt: 2:   1 Changing Calculations
  535.    wt: 2:   11 Real Number Addition
  536.    wt: 2:   9 Coordinates for Regions in Space
  537.    wt: 2:   8 Coordinates for Maps and Planes
  538.    wt: 2:   3 Geometric Formulas and Function Notation
  539.    wt: 2:   1 GE Substitution four examples
  540.    wt: 2:   1 Essentially One Unknown
  541.    wt: 2:   9 Three Examples
  542.    wt: 2:   8 One Example
  543.    wt: 2:   7 Two Examples
  544.    wt: 2:   6 Three Examples
  545.    wt: 2:   5 Three Examples
  546.    wt: 2:   4 Two Examples
  547.    wt: 2:   3 Two Examples
  548.    wt: 2:   2 Three Examples
  549.    wt: 2:   Using Letters for Physical Quantities
  550.    wt: 2:   Formula Usage Show Work Format
  551.    wt: 2:   9 Volume of Cone
  552.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  553.    wt: 2:   1 Finite Sets
  554.    wt: 2:   arithmetic videos Real Player Format
  555.    wt: 2:   1 Counting and Counting Methods I
  556.    wt: 2:   4 signed coordinates for regions in space
  557.    wt: 2:   3 signed coordinates for maps and planes
  558.    wt: 2:   7 Converting or Changing Units
  559.    wt: 2:   6 Simplification of Fractions with Units
  560.    wt: 2:   4 Fractions with Units
  561.    wt: 2:   3 Multiplying Units and Numbers
  562.    wt: 2:   2 Equality and Units
  563.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  564.    wt: 2:   9 Improper Fractions and Mixed Numbers
  565.    wt: 2:   8 Numerals Fractionals Quantals Take II
  566.    wt: 2:   7 Numerals Fractionals Quantals
  567.    wt: 2:   6 Multiplication Algebraically Take II
  568.    wt: 2:   5 Equivalent Fractions
  569.    wt: 2:   4 Fraction Multiplication
  570.    wt: 2:   3 Unit fraction of a fraction
  571.    wt: 2:   2 Unit Fraction Multiplication
  572.    wt: 2:   B Integer Long Division Multiple Choices
  573.    wt: 2:   A Associative Law Theorectical Note
  574.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  575.    wt: 2:   26 Divisibility by 2 3 5 Example
  576.    wt: 2:   21 Remainder Arithmetic Modulo 3
  577.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  578.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  579.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  580.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  581.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  582.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  583.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  584.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  585.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  586.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  587.    wt: 2:   9 video Prime Factorization upto 19 squared
  588.    wt: 2:   8 video Prime Factorization upto 19
  589.    wt: 2:   2 Prime and Composites less than 16
  590.    wt: 2:   D Decimal Multiplication Methods Derived
  591.    wt: 2:   A Elementary Basis for Multiplication Methods
  592.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  593.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  594.    wt: 2:   Video Power Notation in Decimal Expansion
  595.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  596.    wt: 2:   Subtraction with J Conversions Example
  597.    wt: 2:   Subtraction Another Video Lesson
  598.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  599.    wt: 2:   5 A Tip for Efficent Subtraction
  600.    wt: 2:   8 What skills and work habits to require
  601.    wt: 2:   7 Adding decimal fractions using decimal point
  602.    wt: 2:   6. Counting and adding units and mixed units
  603.    wt: 2:   5. How to add decimals C. Examples
  604.    wt: 2:   4. How to add with decimals B with conversions
  605.    wt: 2:   3. How to add with decimals A sans conversions
  606.    wt: 2:   2 Decimal Counting Practices
  607.    wt: 2:   Formula Evaluation how to show work
  608.    wt: 2:   The 12 Times Table Visually
  609.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  610.    wt: 2:   016 Numbering Occidental Calendar Days
  611.    wt: 2:   015 School and work day counting tables
  612.    wt: 2:   014 Counting Days with Calendars
  613.    wt: 2:   013 Travel Time Tables
  614.    wt: 2:   012 Division of Time Intervals by Time Intervals
  615.    wt: 2:   010 Repeated Addition of Time Intervals
  616.    wt: 2:   Volume of Solid by Cross Sections Lesson
  617.    wt: 2:   Example 4 with x function of y
  618.    wt: 2:   Example 3
  619.    wt: 2:   Summary
  620.    wt: 2:   A Related Material in Volume 3
  621.    wt: 2:   1 Chain Rule in Reverse Integration Method
  622.    wt: 2:   31 Derivatives of inverse functions
  623.    wt: 2:   29 Chain Rule Optional Reading
  624.    wt: 2:   28 Chain Rule Preparation for a Proof
  625.    wt: 2:   22 Chain Rule for polynomials
  626.    wt: 2:   18 Chain Rule Introduction
  627.    wt: 2:   17 Derivatives of quotients of sine and cosine
  628.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  629.    wt: 2:   15 sine and cosine derivatives 3rd step
  630.    wt: 2:   14 sine and cosine derivatives 2nd step
  631.    wt: 2:   12 Quotient rule examples
  632.    wt: 2:   .H1 First Fundamental Theorem of Calculus
  633.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  634.    wt: 2:   F.3 Intermediate Value Theorem
  635.    wt: 2:   PostScript For and Against Decimal Perspectives
  636.    wt: 2:   A1. Introduction
  637.    wt: 2:   Chapter 21 Arrow Addition
  638.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  639.    wt: 2:   Chapter 18. Slopes Areas Integration
  640.    wt: 2:   Chapter 17. Area Approximation
  641.    wt: 2:   Chapter 16. Velocity Approximation
  642.    wt: 2:   Chapter 15. Slope Approximation
  643.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  644.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  645.    wt: 2:   Chapter 13. Acceleration
  646.    wt: 2:   Chapter 12. Units and Slopes
  647.    wt: 2:   Chapter 10 Slopes and Units
  648.    wt: 2:   Chapter 1.Introduction
  649.    wt: 2:   Foreword
  650.    wt: 2:   Postscript More on Better Performance
  651.    wt: 2:   Appendix E. How To Study Mathematics and Why
  652.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  653.    wt: 2:   Chapter 23. Notation For Sums
  654.    wt: 2:   Chapter 8 Three Skills For Algebra
  655.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  656.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  657.    wt: 2:   Foreword
  658.    wt: 2:   Chapter 9 The Two Ends
  659.    wt: 2:   Chapter 8 Modern Instruction
  660.    wt: 2:   Chapter 7 Two Treatments of Geometry
  661.    wt: 2:   Chapter 5 Four References
  662.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  663.    wt: 2:   Chapter 3 Algebra Difficulties
  664.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  665.    wt: 2:   Postscript B More on Story Telling and Reason
  666.    wt: 2:   Postscript A Story Telling
  667.    wt: 2:   Chapter 24 Direct and Indirect Reason
  668.    wt: 2:   Chapter 23 Truth Tables
  669.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  670.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  671.    wt: 2:   Chapter 8 Change of Language
  672.    wt: 2:   Chapter 7 Longer Chains of Reason
  673.    wt: 2:   Chapter 6 Chains of Reason
  674.    wt: 2:   Chapter 5 Deception
  675.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  676.    wt: 2:   Chapter 2 Skill Development
  677.    wt: 2:   Three Remarks
  678.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  679.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  680.    wt: 2:   R Why Learn Mathematics Skills
  681.    wt: 2:   O On Learning Mathematics and Science
  682.    wt: 2:   N Improving Marks on Tests and Finals
  683.    wt: 2:   G. Written work formats for developing and showing skill
  684.    wt: 2:   Helping the Blind in Logic and Mathematics
  685.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  686.    wt: 2:   More Algebra and Slope based Calculus Preview
  687.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  688.    wt: 1:   K LAMP Musings Science Education
  689.    wt: 1:   J LAMP Introduction Extrinsic Origins
  690.    wt: 1:   I LAMP Introduction Study Habits
  691.    wt: 1:   H LAMP Introduction Instructional Concepts
  692.    wt: 1:   G LAMP Introduction Problem Solving Skills
  693.    wt: 1:   F LAMP Introduction Prerequisites
  694.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  695.    wt: 1:   A Introduction Objectives
  696.    wt: 1:   9 combinatorics probability sets
  697.    wt: 1:   8 analytic geometry etc
  698.    wt: 1:   7 logic review and decimals an odd combination
  699.    wt: 1:   6 polynomials etc
  700.    wt: 1:   5 logarithms and exponentials etc
  701.    wt: 1:   4 algebra
  702.    wt: 1:   3 Euclidean Geometry Leanly
  703.    wt: 1:   2 arithmetic with signed numbers
  704.    wt: 1:   What is POMME
  705.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  706.    wt: 1:   problemes algebre et arithmetique
  707.    wt: 1:   1 Energy Power Heat06
  708.    wt: 1:   F Wire Resistance Calculation04
  709.    wt: 1:   E Wire Resistance Calculation03
  710.    wt: 1:   D Wire Resistance Calculation02
  711.    wt: 1:   B Wire Resistance Qualitative02
  712.    wt: 1:   3 Like resistors in parallel
  713.    wt: 1:   G Series Circuit01
  714.    wt: 1:   C Electromotive force conventional current02
  715.    wt: 1:   A Circuit Elements
  716.    wt: 1:   Ages 8 to 9
  717.    wt: 1:   Ages 7 to 8
  718.    wt: 1:   Ages 6 to 7
  719.    wt: 1:   Ages 4 plus to 5 plus
  720.    wt: 1:   Ages 3 plus to 4 plus
  721.    wt: 1:   6 Set Existence Formation and Notation
  722.    wt: 1:   4 Function notation in and beyond mathematics
  723.    wt: 1:   3 Formula or function graphing exercise
  724.    wt: 1:   Introduction Reading Guide
  725.    wt: 1:   9 quadratics physical and further context
  726.    wt: 1:   6 quadratics numerical approach
  727.    wt: 1:   5 quadratics completing the square
  728.    wt: 1:   4 quadratics difference of two squares
  729.    wt: 1:   3 quadratics factoring by inspection
  730.    wt: 1:   2 quadratics graphing in general
  731.    wt: 1:   Quadratics in 10 steps
  732.    wt: 1:   14 Straight Lines Equations General Case
  733.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  734.    wt: 1:   12 Straight Lines Graphing mx plus b
  735.    wt: 1:   8 Straight Lines Equation for vertical
  736.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  737.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  738.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  739.    wt: 1:   30 unit circle calculation of six trigonometric functions
  740.    wt: 1:   28 Expressing products of sines cosines as sums
  741.    wt: 1:   27 Logarithmic use of products of sines and cosines
  742.    wt: 1:   9 Graphs of sine and cosine over one period
  743.    wt: 1:   8 period of tangent function
  744.    wt: 1:   7 period of sine and cosine
  745.    wt: 1:   1 Unit Points Reflections Rotations
  746.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  747.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  748.    wt: 1:   8 Similarity of Triangles and Polygons
  749.    wt: 1:   7 Translations Rotations Reflections Dilatations
  750.    wt: 1:   6 Geometric Diagrams in Class
  751.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  752.    wt: 1:   4 Similarity Definition with Coordinate
  753.    wt: 1:   2 Similarity By Design
  754.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  755.    wt: 1:   7 Exercises to test skill and concept mastery
  756.    wt: 1:   6 Intersection of lines by solving linear systems
  757.    wt: 1:   5 Algebraic View of Slopes
  758.    wt: 1:   What is and is not here
  759.    wt: 1:   PS H Distributive Law For Complex Numbers
  760.    wt: 1:   PS A Kite Construction Methods
  761.    wt: 1:   A Modular and Remainder Arithmetic
  762.    wt: 1:   21 Addition of Multiples of a Single Vector
  763.    wt: 1:   19 Signed Multiples of Vectors
  764.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  765.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  766.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  767.    wt: 1:   15 Head to Tails in place Addition Associative
  768.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  769.    wt: 1:   13 Arrows and Vectors in a Plane
  770.    wt: 1:   12 Real Numbers Line Signed Coordinates
  771.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  772.    wt: 1:   9 Division with Digits after Decimal Point
  773.    wt: 1:   8 Division and Mulplication of Compound Fractions
  774.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  775.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  776.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  777.    wt: 1:   4 Location of Point in Decimal Addition
  778.    wt: 1:   3 Location of Point in Decimal Multiplication
  779.    wt: 1:   2 Counting Digits in Decimal Multiplication
  780.    wt: 1:   6 Column Methods for Decimal Multiplication
  781.    wt: 1:   5 Distributive Law for Whole Numbers
  782.    wt: 1:   4 Commutative Law Groups Counting Form
  783.    wt: 1:   5 Proportionality in Equivalent Fractions
  784.    wt: 1:   4 Rates Ratios and Proporitionality
  785.    wt: 1:   3 Proportionality Examples
  786.    wt: 1:   2 Algebraic View
  787.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  788.    wt: 1:   3 Linear Equation Literal Solution More
  789.    wt: 1:   2 Linear Equation Literal Solution
  790.    wt: 1:   3 Product Axioms Two Forms
  791.    wt: 1:   1 Equivalent Computation Rules
  792.    wt: 1:   2 More and Less Than for Counts and Measures
  793.    wt: 1:   1 Real Numbers Comparison
  794.    wt: 1:   16 Real Numbers Comparison
  795.    wt: 1:   15 Real Number Division
  796.    wt: 1:   14 Real Number Multiplication
  797.    wt: 1:   13 Real Number Subtraction
  798.    wt: 1:   12 Real Number Additive Inverses or Negatives
  799.    wt: 1:   10 Real Number Lengths and Signs
  800.    wt: 1:   7 Real Numbers as Line Cordinates
  801.    wt: 1:   6 Unsigned Real Numbers
  802.    wt: 1:   1 Whole and Natural Numbers
  803.    wt: 1:   5 Independent versus Dependent Variables
  804.    wt: 1:   4 Changing Letters
  805.    wt: 1:   2 Computation Rules Evaluation
  806.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  807.    wt: 1:   6 Algebraic Solution Example
  808.    wt: 1:   5 Algebraic Solutions Introduction
  809.    wt: 1:   4 Four Examples Fractional Coefficients
  810.    wt: 1:   3 Four Examples
  811.    wt: 1:   2 Three Examples
  812.    wt: 1:   9 Sets in Probability and Statistics
  813.    wt: 1:   8 Sets of Numbers
  814.    wt: 1:   7 Cautious or Safe Set Construction
  815.    wt: 1:   6 Power Set Notation
  816.    wt: 1:   5 Product Builder Notation
  817.    wt: 1:   4 Subset Builder Notation
  818.    wt: 1:   3 Counting with Sets etc
  819.    wt: 1:   2 Venn Diagrams
  820.    wt: 1:   6 Three Notions of What is a Variable
  821.    wt: 1:   5 Talking about Numbers and Quantities
  822.    wt: 1:   4 A Brief Story of numbers and algebra
  823.    wt: 1:   3 Adding Words To Arithmetic
  824.    wt: 1:   2 What is a Variable
  825.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  826.    wt: 1:   4 Counting with Trees Product Rule Take I
  827.    wt: 1:   3 Counting with Tables and Trees II
  828.    wt: 1:   2 Counting with Tables and Trees I
  829.    wt: 1:   9 subtracting signed numbers
  830.    wt: 1:   8 multiplying signed numbers
  831.    wt: 1:   7 negative and additive inverse
  832.    wt: 1:   6 adding signed numbers
  833.    wt: 1:   5 lengths and signs of numbers
  834.    wt: 1:   2 signed and unsigned numbers as coordinates
  835.    wt: 1:   D Three Term Ratios
  836.    wt: 1:   B Fractions and Two Term Ratios
  837.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  838.    wt: 1:   9 Multiplying Integers
  839.    wt: 1:   8 Multiplication by Signed Numbers Integers
  840.    wt: 1:   7 Multiplication by Signs
  841.    wt: 1:   6 Multiplication by Natural Numbers
  842.    wt: 1:   5 Zero Movement and Additive Inverses
  843.    wt: 1:   4 Adding Movements wiht opposite directions
  844.    wt: 1:   3 Adding Movements with same direction
  845.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  846.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  847.    wt: 1:   23 Remainder Arithmetic Modulo 2
  848.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  849.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  850.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  851.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  852.    wt: 1:   5 Remainder Arithmetic Modulo 5
  853.    wt: 1:   20 Uniqueness of Prime Factorization
  854.    wt: 1:   7 Calculator Usage Notes and Cautions
  855.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  856.    wt: 1:   5 Prime Factorization and a Square Rule
  857.    wt: 1:   4 video Prime Factorization Introduction
  858.    wt: 1:   3 video Primes and Composites from 9 times table
  859.    wt: 1:   Long Division Backwards more
  860.    wt: 1:   Long Division Backward
  861.    wt: 1:   9 Why Long Division Works Take II
  862.    wt: 1:   8 Correcting the Mistake
  863.    wt: 1:   7 Long Divison Mistake Catching
  864.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  865.    wt: 1:   5 Long Division Include Zeroes or not
  866.    wt: 1:   4 Division with 2 Digit Divsors
  867.    wt: 1:   3 Division Single Digit Divisor Example
  868.    wt: 1:   2 Division with Single Digit Divisors
  869.    wt: 1:   C Counting Areas with Powers of Ten
  870.    wt: 1:   B Powers of Ten
  871.    wt: 1:   6 Multiplication Commutes Order Not Important
  872.    wt: 1:   5 Decimal Fraction Multiplication
  873.    wt: 1:   4 Two and Three Digit Multipliers
  874.    wt: 1:   3 More One Digit Multipliers
  875.    wt: 1:   2 One Digit Multipliers
  876.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  877.    wt: 1:   9 22 Minute Subtraction Review Video
  878.    wt: 1:   8 Subtraction with Units of Measure
  879.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  880.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  881.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  882.    wt: 1:   2 Subtraction Easy Case Examples
  883.    wt: 1:   Quick history of numbers and algebra
  884.    wt: 1:   Exact Arithmetic Wholes and Fractions
  885.    wt: 1:   Expression Evaluation how to show work
  886.    wt: 1:   The 20 Times Table
  887.    wt: 1:   About folder contents
  888.    wt: 1:   1 Intro of Kids To Time Date Skills
  889.    wt: 1:   5 Area Under Curve Exercise
  890.    wt: 1:   4 Definite Integrals Evaluation Exercises
  891.    wt: 1:   3 Two Chain Rule Method Exercises
  892.    wt: 1:   2 Indefinite Integrals Exercises
  893.    wt: 1:   A Related lessons in Volume 3
  894.    wt: 1:   4 Second derivative test exercise example
  895.    wt: 1:   3 Second derivative test
  896.    wt: 1:   2 Second derivative test prequel
  897.    wt: 1:   A Chain Rule Real Player video examples
  898.    wt: 1:   36 Cube root derivative animated
  899.    wt: 1:   34 Derivative of exponential function
  900.    wt: 1:   33 Chain Rule Real Player video examples
  901.    wt: 1:   30Chain Rule A Proof
  902.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  903.    wt: 1:   26 Chain Rule Recognising outer inner functions
  904.    wt: 1:   25 Chain Rule Animated Examples Continued
  905.    wt: 1:   24 Chain Rule Animated Examples
  906.    wt: 1:   23 Chain Rule in general
  907.    wt: 1:   9 Reciprocal rule
  908.    wt: 1:   8 Differentiation of polynomials
  909.    wt: 1:   7 Animated Differentiation Examples
  910.    wt: 1:   6 Power rule from product rule
  911.    wt: 1:   5 Product Rule
  912.    wt: 1:   4 Sum Rule
  913.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  914.    wt: 1:   G.5 Motions With Bounded Velocities
  915.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  916.    wt: 1:   G.3 Constant Difference Theorem Proof
  917.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  918.    wt: 1:   F.5b Extreme Value Theorem
  919.    wt: 1:   F.5a Equicontinuity Theorems
  920.    wt: 1:   F.4 Finite Covering Theorem
  921.    wt: 1:   F.2 Closed Range Theorem
  922.    wt: 1:   F.1 What Functions are Continuous
  923.    wt: 1:   E1 Error Control Inequalities
  924.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  925.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  926.    wt: 1:   Fall 1983 Calculus Appetizer
  927.    wt: 1:   Appendix D. What to do in School and Why
  928.    wt: 1:   Appendix C. How to Read
  929.    wt: 1:   Appendix B. How To Learn
  930.    wt: 1:   Chapter 30 Truth Tables
  931.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  932.    wt: 1:   Chapter 28 Occurrence Tables
  933.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  934.    wt: 1:   Chapter 25. Mathematical Induction Examples
  935.    wt: 1:   Chapter 25. Mathematical Induction Examples
  936.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  937.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  938.    wt: 1:   Chapter 20. Degrees and Radians
  939.    wt: 1:   Postscript What is a Variable
  940.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  941.    wt: 1:   Chapter 6 Change of Language
  942.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  943.    wt: 1:   Chapter 4 Longer Chains of Reason
  944.    wt: 1:   Chapter 3 Chains of Reason
  945.    wt: 1:   S Adding words to algebra
  946.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  947.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  948.    wt: 1:   M Words to extend arithmetic
  949.    wt: 1:   L Skills with take home value
  950.    wt: 1:   J. More on written work and showing skill
  951.    wt: 1:   A. Skill has to be seen to believed
  952.    wt: 1:   Implementation Notes
  953.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  954.    wt: 1:   Systematic Algebra Skill Development Missing Links
  955.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  956.    wt: 1:   Which Way To Go
  957.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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