Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

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


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

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

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

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

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71 matches:

  1.    wt: 8:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 8:   13 Vectors/
  3.    wt: 8:   12 Function Translating and Rescaling/
  4.    wt: 8:   8 Unit Circle Trigonometry/
  5.    wt: 8:   3 Cartesian and Polar Coordinates/
  6.    wt: 8:   2 Euclidean Geometry Constructions Theory extras/
  7.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  8.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  9.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  10.    wt: 7:   1 Maps Plans Measurement/
  11.    wt: 7:   10 LCM GCD and Euclid GCD Algorithm/
  12.    wt: 7:   C Decimal Multiplication Methods/
  13.    wt: 7:   A Decimal Counting and Adding Methods/
  14.    wt: 6:   Direct Current Electric Circuits/
  15.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  16.    wt: 6:   11 Parallel Straight Lines and Transversals/
  17.    wt: 6:   7 Complex Numbers/
  18.    wt: 6:   6 Trigonometry first steps/
  19.    wt: 6:   4 Lines and Slopes Take 1/
  20.    wt: 6:   9 Combinatorics Trees Tables and Products/
  21.    wt: 5:   5 What is Similarity/
  22.    wt: 5:   Geometry maps plans trigonometry vectors/
  23.    wt: 5:   7 Arithmetic and Fractions with Units/
  24.    wt: 5:   D Decimal Long Division Methods/
  25.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  26.    wt: 5:   13 Lessons on Limits and Continuity/
  27.    wt: 5:   Secondary Mathematics A Practical Approach/
  28.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  29.    wt: 4:   6 Fractions and Ratios/
  30.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  31.    wt: 4:   2 Arithmetic with Decimals/
  32.    wt: 4:   1 Decimal Place Value/
  33.    wt: 4:   38 Lessons on Calculating Derivatives/
  34.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  35.    wt: 4:   Resources and Reciprocal Links/
  36.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  37.    wt: 3:   Mathematics Education Essays/
  38.    wt: 3:   4 Computation Rules and Function Notation/
  39.    wt: 3:   Step 1 Stick diagram and fractions/
  40.    wt: 3:   11 Squares and Square Roots/
  41.    wt: 3:   8 Arithmetic with Signed Numbers/
  42.    wt: 3:   3 Prime Factorization Skills/
  43.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  44.    wt: 3:   Volume 1B Mathematics Curriculum Notes/
  45.    wt: 3:   PreSchool and Primary Mathematics or Quantitative Skills/
  46.    wt: 2:   LAMP Lean Applied Mathematics Program/
  47.    wt: 2:   3 Quadratics Geometrically/
  48.    wt: 2:   A Origins of Counting and Figuring Methods/
  49.    wt: 2:   9 Proportionality Backwards and Forwards/
  50.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  51.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  52.    wt: 2:   5 Integers/
  53.    wt: 2:   Arithmetic and Number Theory Skills/
  54.    wt: 2:   5 Lessons on Integration/
  55.    wt: 2:   4 Lessons on Using Derivatives/
  56.    wt: 2:   70 Calculus Starter Lessons/
  57.    wt: 2:   Mathematics 506 Lessons/
  58.    wt: 1:   Archives/
  59.    wt: 1:   Volume 1A Regles et modeles/
  60.    wt: 1:   francais/
  61.    wt: 1:   Parent Center/
  62.    wt: 1:   Mathematics Skills Year by Year/
  63.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  64.    wt: 1:   4 Functions/
  65.    wt: 1:   B Real Numbers Extrinsic Development/
  66.    wt: 1:   10 Examples of Algebraic Reasoning/
  67.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  68.    wt: 1:   1 Working With Sets/
  69.    wt: 1:   Work and Study Tips/
  70.    wt: 1:   Quebec Material/
  71.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

918 matches:

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

Extended Search

1104 matches:

  1.    wt: 9:   Education in mathematics science and technology
  2.    wt: 9:   F Wire Resistance Calculation04
  3.    wt: 9:   E Wire Resistance Calculation03
  4.    wt: 9:   D Wire Resistance Calculation02
  5.    wt: 9:   12 motivation for term arctan
  6.    wt: 9:   11 arctan left inverse of tangent Graph
  7.    wt: 9:   10 arctan left inverse of tangent Definition
  8.    wt: 9:   9 motivation for name arcsin
  9.    wt: 9:   8 arcsin left inverse of sine Graph
  10.    wt: 9:   7 arcsin left inverse of sine Definition
  11.    wt: 9:   A Global Time and Navigation
  12.    wt: 9:   12 From Applied To Pure Mathematics
  13.    wt: 9:   11 Component Method
  14.    wt: 9:   9 Head to Tail Coordinate View
  15.    wt: 9:   8 Parallel Vectors
  16.    wt: 9:   3 Navigation with Arrows or Vectors
  17.    wt: 9:   2 Signed Coordinates
  18.    wt: 9:   1 Unsigned Coordinates
  19.    wt: 9:   4 graphing y=Asin(x c)
  20.    wt: 9:   3 graphing y=f(x c) plus K
  21.    wt: 9:   C Straight Lines Slope from Coordinates
  22.    wt: 9:   6 Tangent Function Inclination Angle Take 2
  23.    wt: 9:   1 Straight Lines Slope Concept
  24.    wt: 9:   17 tangent function angle sum formulas
  25.    wt: 9:   24 tangent Angle Difference Formula
  26.    wt: 9:   17G Pythagorean Theorem Converse
  27.    wt: 9:   17F Law of cosines
  28.    wt: 9:   16 Right Triangle Complementary Angle Relations
  29.    wt: 9:   12 Graph of tangent function for one period
  30.    wt: 9:   8 period of tangent function
  31.    wt: 9:   2 Quadrant I reference Angles
  32.    wt: 9:   1 Unit Points Reflections Rotations
  33.    wt: 9:   12 cis formulas for sine cosines and tangent
  34.    wt: 9:   9 The complex number valued trig function cis
  35.    wt: 9:   8 Unit Circle Development of Trigonometry
  36.    wt: 9:   7 Trignometric Ratios Unit Circle
  37.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  38.    wt: 9:   3 Trigonometric Ratios sine and cosine
  39.    wt: 9:   13 Navigation Location from Angles to 2 Landmarks
  40.    wt: 9:   5 Similarity of Circles Squares and Rectangles
  41.    wt: 9:   12 Spatial Coordinates
  42.    wt: 9:   10 Pythagorean plane distance formula
  43.    wt: 9:   9 Pythagorean Theorem Chinese Square Proof
  44.    wt: 9:   8 Distance Between Points on a Line
  45.    wt: 9:   7 Complex Numbers Appetizer
  46.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  47.    wt: 9:   PS H Distributive Law For Complex Numbers
  48.    wt: 9:   17 Right Bisectors of Triangle Sides
  49.    wt: 9:   10 Dropping a perpendicular to line
  50.    wt: 9:   8 Isoceles Triangles
  51.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  52.    wt: 9:   6 Figuring with Maps Not to Scale
  53.    wt: 9:   11 GCD 2700 288 via Euclid Algorithm
  54.    wt: 9:   10 Euclid Algorithm with 129 125 and with 45 14
  55.    wt: 9:   8 GCD from Euclidean Algorithm
  56.    wt: 9:   4 LCM of 8 and 10 via Prime
  57.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  58.    wt: 9:   2 Least Common Multiple LCM intro via list method
  59.    wt: 9:   1 Counting and Counting Methods I
  60.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  61.    wt: 9:   C Equality for Fractions and Two Term Ratios and Fractions
  62.    wt: 9:   D Decimal Multiplication Methods Derived
  63.    wt: 9:   C Counting Areas with Powers of Ten
  64.    wt: 9:   6 Multiplication Commutes Order Not Important
  65.    wt: 9:   Subtraction Another Video Lesson
  66.    wt: 9:   9 22 Minute Subtraction Review Video
  67.    wt: 9:   8 Subtraction with Units of Measure
  68.    wt: 9:   5. How to add decimals C. Examples
  69.    wt: 9:   4. How to add with decimals B with conversions
  70.    wt: 9:   3. How to add with decimals A sans conversions
  71.    wt: 9:   3 Decimal insights for limits continuity convergence
  72.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  73.    wt: 9:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  74.    wt: 9:   Chapter 4 Logic for Reading Writing and Geometry etc
  75.    wt: 8:   A Wire Resistance Qualitative01
  76.    wt: 8:   H Series Circuit02
  77.    wt: 8:   G Series Circuit01
  78.    wt: 8:   E Kirchoffs Second Law
  79.    wt: 8:   A Circuit Elements
  80.    wt: 8:   9 Summary Degrees to Radians and back
  81.    wt: 8:   1 Degrees and Radians Introduction
  82.    wt: 8:   10 Parallelogram Addition Method
  83.    wt: 8:   5 Head To Tail Arrow Addition
  84.    wt: 8:   4 Resultant of a Sum of Movements
  85.    wt: 8:   1 graphing y=f(x a)
  86.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  87.    wt: 8:   Straight Lines ASA Intersection Study More
  88.    wt: 8:   Straight Lines ASA Intersection Study
  89.    wt: 8:   Straight Lines Instersection Solving Equations
  90.    wt: 8:   Straight Lines Intersection of
  91.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  92.    wt: 8:   B Straight Line Slope Scaling Properties More
  93.    wt: 8:   A Straight Line Slope Scaling Properties
  94.    wt: 8:   14 Straight Lines Equations General Case
  95.    wt: 8:   13 Straight Lines Finding Equations from 2 points
  96.    wt: 8:   8 Straight Lines Equation for vertical
  97.    wt: 8:   7 Tangent Function is odd on this domain
  98.    wt: 8:   5 Tangent Function Graph
  99.    wt: 8:   4 Tangent Function Properties
  100.    wt: 8:   3 Straight Lines Slope as Tangent of Inclination Angle
  101.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  102.    wt: 8:   18 sum of sinusoidal waves as a single wave
  103.    wt: 8:   16 References and Originality Question
  104.    wt: 8:   11 sine and cosine double triple angle formulas
  105.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  106.    wt: 8:   1 Rectangular Polar Coordinates Review
  107.    wt: 8:   8 Triangles Cascade Problem Solving
  108.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  109.    wt: 8:   6 Geometric Diagrams in Class
  110.    wt: 8:   3 Slope product for perpendicular lines
  111.    wt: 8:   1 Numerical view of lines and their equations
  112.    wt: 8:   11 Triangle Inequality
  113.    wt: 8:   PS G Rotation Distributes over Addition
  114.    wt: 8:   21 Parallelograms
  115.    wt: 8:   19 Right Triangle Similarity
  116.    wt: 8:   18 Triangle Similarity Take 1
  117.    wt: 8:   15 Triangle Angle Sum is 180 degrees
  118.    wt: 8:   14 Parallel Lines Postulate
  119.    wt: 8:   12 Side Angle Side Failure
  120.    wt: 8:   7 Angle Side Angle
  121.    wt: 8:   5 Side Angle Side
  122.    wt: 8:   4 Side Side Side
  123.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  124.    wt: 8:   2 Measuring Area Directly
  125.    wt: 8:   6 GCD from Prime
  126.    wt: 8:   5 Common Divisors 60 45 via Prime
  127.    wt: 8:   12 GCD 2700 288 via Prime
  128.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  129.    wt: 8:   4 Counting with Trees Product Rule Take I
  130.    wt: 8:   3 Counting with Tables and Trees II
  131.    wt: 8:   2 Counting with Tables and Trees I
  132.    wt: 8:   21 Reciprocals for Fractions and Wholes
  133.    wt: 8:   13 Fraction Comparison Algebraic View
  134.    wt: 8:   A Elementary Basis for Multiplication Methods
  135.    wt: 8:   4 Two and Three Digit Multipliers
  136.    wt: 8:   Video Power Notation in Decimal Expansion
  137.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  138.    wt: 8:   8 What skills and work habits to require
  139.    wt: 8:   16 Derivatives of reciprocals of sine and cosine
  140.    wt: 8:   9 Limits Continuity and Composition
  141.    wt: 8:   5 Jumps and absence of unlimited error control
  142.    wt: 8:   2 Algebraic codification
  143.    wt: 8:   D1 Sets and Sequences GLBs and LGBs
  144.    wt: 8:   PostScript For and Against Decimal Perspectives
  145.    wt: 8:   Chapter 14 Limits and Continuity with and sans Decimals
  146.    wt: 8:   Chapter 13. Acceleration
  147.    wt: 8:   Chapter 8 Skipped Topics and Why
  148.    wt: 8:   Primary and Secondary Skills and Practices with Take Home Value
  149.    wt: 7:   C LAMP Introduction Culture in Mathematics Education
  150.    wt: 7:   7 logic review and decimals an odd combination
  151.    wt: 7:   fairness and inductive principles for instruction
  152.    wt: 7:   C Energy Power03
  153.    wt: 7:   B Wire Resistance Qualitative02
  154.    wt: 7:   D Kirchoff First Law
  155.    wt: 7:   8 Radian Measures of Common Angles
  156.    wt: 7:   7 Radian Measures in special Triangles
  157.    wt: 7:   2 Radian Measure Numerical Value of one degree
  158.    wt: 7:   Parallel Lines and Parallel Transversals
  159.    wt: 7:   Parallel Lines and Interior Angles
  160.    wt: 7:   12 Straight Lines Graphing mx plus b
  161.    wt: 7:   11 Straight Lines Graphing y=mx
  162.    wt: 7:   10 Straight Lines through Origin Equations More
  163.    wt: 7:   9 Straight Lines through Origin Equations
  164.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  165.    wt: 7:   21 Logarithms Powers and Exponentials
  166.    wt: 7:   20 N th Roots of Complex Numbers
  167.    wt: 7:   17 Cube Roots of unity
  168.    wt: 7:   15 Pythagorean Theorem Converse
  169.    wt: 7:   14 Law of cosines
  170.    wt: 7:   6 Field Properties of Complex Number
  171.    wt: 7:   4 Multiplication Properties
  172.    wt: 7:   2 Complex Numbers made easier we hope
  173.    wt: 7:   Appetizer A Complex Number Applet
  174.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  175.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  176.    wt: 7:   Why Trigonometry the whyslopes view
  177.    wt: 7:   3 Similarity by Design with coordinates
  178.    wt: 7:   1 Early Concept of Like or Similar Shapes
  179.    wt: 7:   Four Simple Exercises
  180.    wt: 7:   10 Midpoint of [a b] and [b a]
  181.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  182.    wt: 7:   6 Intersection of lines by solving linear systems
  183.    wt: 7:   5 Algebraic View of Slopes
  184.    wt: 7:   What is and is not here
  185.    wt: 7:   A Measurement with Ruler Proper Use
  186.    wt: 7:   1 Length Measurement
  187.    wt: 7:   1 More and Less Than for Counts and Measures
  188.    wt: 7:   7 Converting or Changing Units
  189.    wt: 7:   6 Simplification of Fractions with Units
  190.    wt: 7:   1 Addition and Subtraction with Units
  191.    wt: 7:   22 Complex Compound Fractions
  192.    wt: 7:   17 Efficient Ways to Add and Subtract
  193.    wt: 7:   16 Addition Subtraction Comparision Compared
  194.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  195.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  196.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  197.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  198.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  199.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  200.    wt: 7:   12 LCD GCD and LCM using Primes
  201.    wt: 7:   7 Calculator Usage Notes and Cautions
  202.    wt: 7:   Division with Counts and Length
  203.    wt: 7:   Long Division forwards and backwards Example 3
  204.    wt: 7:   Long Division forwards and backwards Example 2
  205.    wt: 7:   Long Division forwards and backwards Example 1
  206.    wt: 7:   8 Correcting the Mistake
  207.    wt: 7:   7 Long Divison Mistake Catching
  208.    wt: 7:   B Powers of Ten
  209.    wt: 7:   3 More One Digit Multipliers
  210.    wt: 7:   2 One Digit Multipliers
  211.    wt: 7:   1 Why 3 times 5 gives 15
  212.    wt: 7:   1. Explaining Addition Table
  213.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  214.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  215.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  216.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  217.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  218.    wt: 7:   Volume of Solid by Cross Sections Lesson
  219.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  220.    wt: 7:   Area Between Crossing Curves Lesson Take 1
  221.    wt: 7:   26 Chain Rule Recognising outer inner functions
  222.    wt: 7:   13 sine and cosine derivatives 1st step
  223.    wt: 7:   13 Limits with Parameters and Derivatives Take II
  224.    wt: 7:   1 Numerical introduction
  225.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  226.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  227.    wt: 7:   B1 Pigeon Hole Principles from combinatorics
  228.    wt: 7:   Chapter 20 Vectors and Complex Numbers
  229.    wt: 7:   Chapter 9 About First Courses in Calculus
  230.    wt: 7:   Postscript B Mathematics Education References
  231.    wt: 7:   Appendix A Calculus with Proofs for Keen or Gifted
  232.    wt: 7:   Chapter 6 More Algebra and Geometry
  233.    wt: 7:   Chapter 2 Why Sets
  234.    wt: 7:   Chapter 1 Arithmetic
  235.    wt: 7:   5 Interpreting and Drawing Maps and Plans.
  236.    wt: 7:   1 From Number Recognition and Counting to Arithmetic B
  237.    wt: 7:   1 From Number Recognition and Counting to Arithmetic A
  238.    wt: 7:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  239.    wt: 6:   H LAMP Introduction Instructional Concepts
  240.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  241.    wt: 6:   9 combinatorics probability sets
  242.    wt: 6:   teacher certification
  243.    wt: 6:   Education Reform Inconsistencies
  244.    wt: 6:   mathematics curriculum shifts
  245.    wt: 6:   04 29 New Mathematics Curriculum
  246.    wt: 6:   02 20 mathematics education references
  247.    wt: 6:   need for a mixed mathematics curriculum
  248.    wt: 6:   Leaner mathematics curriculum
  249.    wt: 6:   4 Energy Power Heat09
  250.    wt: 6:   3 Energy Power Heat08
  251.    wt: 6:   2 Energy Power Heat07
  252.    wt: 6:   1 Energy Power Heat06
  253.    wt: 6:   E Energy Power05
  254.    wt: 6:   D Energy Power04
  255.    wt: 6:   B Energy Power02
  256.    wt: 6:   A Energy Power01
  257.    wt: 6:   3 Like resistors in parallel
  258.    wt: 6:   2 Unlike resistors in parallel01
  259.    wt: 6:   1 Like resistors in series
  260.    wt: 6:   F Unlike Resistors in Series
  261.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  262.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  263.    wt: 6:   9 quadratics physical and further context
  264.    wt: 6:   6 Radian Measure to Degrees
  265.    wt: 6:   5 Degrees to Radian Measure
  266.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  267.    wt: 6:   Triangle Angles Sum To 180 Degrees
  268.    wt: 6:   19 N th Roots of Unity
  269.    wt: 6:   18 Sixth Roots of Unity
  270.    wt: 6:   5 An Easy Proof of the Distributive Law
  271.    wt: 6:   3 Addition Properties
  272.    wt: 6:   1 Angle Measurement with Degrees
  273.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  274.    wt: 6:   9 Similarity of Triangles Usual Criteria
  275.    wt: 6:   8 Similarity of Triangles and Polygons
  276.    wt: 6:   7 Translations Rotations Reflections Dilatations
  277.    wt: 6:   4 Similarity Definition with Coordinate
  278.    wt: 6:   12 Links Lessons elsewhere
  279.    wt: 6:   11 A Partial Summary
  280.    wt: 6:   8 Mid Point Formula
  281.    wt: 6:   4 Equations for lines three forms
  282.    wt: 6:   2 point slope equation for a line
  283.    wt: 6:   About Folder Contents
  284.    wt: 6:   B Decimal Comparison and Subtraction
  285.    wt: 6:   2 Combing Counts Addition Skills and Principles
  286.    wt: 6:   3 Geometric Formulas and Function Notation
  287.    wt: 6:   1 Formulas Dependence and Function Notation
  288.    wt: 6:   3 signed coordinates for maps and planes
  289.    wt: 6:   4 Fractions with Units
  290.    wt: 6:   3 Multiplying Units and Numbers
  291.    wt: 6:   2 Equality and Units
  292.    wt: 6:   B Fractions and Two Term Ratios
  293.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  294.    wt: 6:   15 Adding and Subtracting with Unlike Denominators
  295.    wt: 6:   14 Adding and Subtracting with Like Denominators
  296.    wt: 6:   12 Fraction Comparison
  297.    wt: 6:   11 Simplification an Algebraic View
  298.    wt: 6:   9 Improper Fractions and Mixed Numbers
  299.    wt: 6:   6 Multiplication Algebraically Take II
  300.    wt: 6:   4 Fraction Multiplication
  301.    wt: 6:   3 Unit fraction of a fraction
  302.    wt: 6:   2 Unit Fraction Multiplication
  303.    wt: 6:   A Associative Law Theorectical Note
  304.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  305.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  306.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  307.    wt: 6:   18 video Count Factors given Prime Factorization
  308.    wt: 6:   17 Identify and Count Factors using Primes
  309.    wt: 6:   13 video Factors of 24 using prime
  310.    wt: 6:   Long Division Backwards more
  311.    wt: 6:   Long Division Backward
  312.    wt: 6:   10 Division by Five Long and Short Ways
  313.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  314.    wt: 6:   5 Long Division Include Zeroes or not
  315.    wt: 6:   1 Divsion Physical Examples
  316.    wt: 6:   11 Place Value SI Standard International way
  317.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  318.    wt: 6:   Exact Arithmetic Wholes and Fractions
  319.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  320.    wt: 6:   Example 2 volume of a cone
  321.    wt: 6:   Example 1. Area Between x and x squared
  322.    wt: 6:   Example 4 with x function of y
  323.    wt: 6:   Area Between Curves Lesson Take 2
  324.    wt: 6:   Area Between Curves Lesson Take 1
  325.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  326.    wt: 6:   38 Formulas and derivatives for powers and roots
  327.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  328.    wt: 6:   25 Chain Rule Animated Examples Continued
  329.    wt: 6:   19 Chain Rule for linear functions
  330.    wt: 6:   18 Chain Rule Introduction
  331.    wt: 6:   17 Derivatives of quotients of sine and cosine
  332.    wt: 6:   15 sine and cosine derivatives 3rd step
  333.    wt: 6:   14 sine and cosine derivatives 2nd step
  334.    wt: 6:   9 Reciprocal rule
  335.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  336.    wt: 6:   6 Continuity at a point
  337.    wt: 6:   4 Numerical properties
  338.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  339.    wt: 6:   G.1 First Fundamental Theorem of Calculus
  340.    wt: 6:   G.3 Constant Difference Theorem Proof
  341.    wt: 6:   F.5a Equicontinuity Theorems
  342.    wt: 6:   F.1 What Functions are Continuous
  343.    wt: 6:   Chapter 7 Slopes and Velocity
  344.    wt: 6:   Chapter 6. Slopes and Vertical Shifts
  345.    wt: 6:   Chapter 10 Describing and Changing Calculations
  346.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  347.    wt: 6:   Chapter 2 For and Against Mathematics
  348.    wt: 6:   Chapter 3 Algebra Starter Lessons
  349.    wt: 6:   7 Games and Activities for Instruction
  350.    wt: 6:   6 Measuring via counting or arithmetic the role of fractions
  351.    wt: 6:   3 Telling Tracking Time Temporal and More Place Sense
  352.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  353.    wt: 6:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  354.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  355.    wt: 5:   Appendix 1 primary and preschool mathematic
  356.    wt: 5:   K LAMP Musings Science Education
  357.    wt: 5:   Skills Chapter 5 Calculus
  358.    wt: 5:   8 analytic geometry etc
  359.    wt: 5:   5 logarithms and exponentials etc
  360.    wt: 5:   Teach the teachers plus goals
  361.    wt: 5:   links Education Resources online
  362.    wt: 5:   Mathematics Education Professors
  363.    wt: 5:   grouping students according to ability
  364.    wt: 5:   mathematics in context
  365.    wt: 5:   five decades make a difference
  366.    wt: 5:   Maps Plans Drawings
  367.    wt: 5:   Secondary Three Mathematics
  368.    wt: 5:   Secondary Two Mathematics
  369.    wt: 5:   Secondary One Mathematics
  370.    wt: 5:   geometric implications for algebra
  371.    wt: 5:   teaching tutoring algebraic reason
  372.    wt: 5:   three goals for Mathematics Education
  373.    wt: 5:   05 13 OldSiteEntrancePage
  374.    wt: 5:   standards for course material
  375.    wt: 5:   mathematics instruction in general
  376.    wt: 5:   cultivating intelligence
  377.    wt: 5:   Motivation and Context Problem
  378.    wt: 5:   education an empirical art
  379.    wt: 5:   words for mathematics instructor
  380.    wt: 5:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  381.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  382.    wt: 5:   6 quadratics numerical approach
  383.    wt: 5:   3 quadratics factoring by inspection
  384.    wt: 5:   12 Triangles Similarity More Problems
  385.    wt: 5:   11 Triangle Similarity Missing Side Problem
  386.    wt: 5:   2 Similarity By Design
  387.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  388.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  389.    wt: 5:   8 Division and Mulplication of Compound Fractions
  390.    wt: 5:   C Three Decimal Subtraction Methods
  391.    wt: 5:   6 Column Methods for Decimal Multiplication
  392.    wt: 5:   3 Multiplicative Counting Skills Principles
  393.    wt: 5:   2 More and Less Than for Counts and Measures
  394.    wt: 5:   3 Comparison of Negative Numbers
  395.    wt: 5:   2 More and Less Than with Unlike Signs
  396.    wt: 5:   1 Squares and Square Roots Introduction
  397.    wt: 5:   4 signed coordinates for regions in space
  398.    wt: 5:   2 signed and unsigned numbers as coordinates
  399.    wt: 5:   20 Dividing Fractions the Why
  400.    wt: 5:   19 Dividing Fractions How TO
  401.    wt: 5:   18 Efficient Ways to Multiply
  402.    wt: 5:   8 Numerals Fractionals Quantals Take II
  403.    wt: 5:   7 Numerals Fractionals Quantals
  404.    wt: 5:   6 Multiplication of Mixed Numbers
  405.    wt: 5:   5 Equivalent Fractions
  406.    wt: 5:   1 What is a fraction Take II
  407.    wt: 5:   1 What is a fraction
  408.    wt: 5:   Fraction Operations by Raising Terms A Simple Innovation
  409.    wt: 5:   23 Remainder Arithmetic Modulo 2
  410.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  411.    wt: 5:   21 Remainder Arithmetic Modulo 3
  412.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  413.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  414.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  415.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  416.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  417.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  418.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  419.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  420.    wt: 5:   5 Remainder Arithmetic Modulo 5
  421.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  422.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  423.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  424.    wt: 5:   1 Remainder Arithmetic Modulo 10
  425.    wt: 5:   15 video Factors of 20 using Prime Factorization
  426.    wt: 5:   5 Prime Factorization and a Square Rule
  427.    wt: 5:   4 video Prime Factorization Introduction
  428.    wt: 5:   3 video Primes and Composites from 9 times table
  429.    wt: 5:   2 Prime and Composites less than 16
  430.    wt: 5:   1 video how Products are bigger than factor
  431.    wt: 5:   12 Why Long Division Works Take III
  432.    wt: 5:   11 Another Single Digit Divisor Example
  433.    wt: 5:   9 Why Long Division Works Take II
  434.    wt: 5:   4 Division with 2 Digit Divsors
  435.    wt: 5:   3 Division Single Digit Divisor Example
  436.    wt: 5:   2 Division with Single Digit Divisors
  437.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  438.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  439.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  440.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  441.    wt: 5:   Example 1 volume of a pyramid
  442.    wt: 5:   Example 3
  443.    wt: 5:   Example 2
  444.    wt: 5:   Example 1
  445.    wt: 5:   Summary
  446.    wt: 5:   A Chain Rule Real Player video examples
  447.    wt: 5:   36 Cube root derivative animated
  448.    wt: 5:   34 Derivative of exponential function
  449.    wt: 5:   33 Chain Rule Real Player video examples
  450.    wt: 5:   31 Derivatives of inverse functions
  451.    wt: 5:   30Chain Rule A Proof
  452.    wt: 5:   29 Chain Rule Optional Reading
  453.    wt: 5:   28 Chain Rule Preparation for a Proof
  454.    wt: 5:   24 Chain Rule Animated Examples
  455.    wt: 5:   23 Chain Rule in general
  456.    wt: 5:   22 Chain Rule for polynomials
  457.    wt: 5:   21 Chain Rule for powers
  458.    wt: 5:   20 Chain Rule for Pulley Systems
  459.    wt: 5:   6 Power rule from product rule
  460.    wt: 5:   5 Product Rule
  461.    wt: 5:   11 Limits at infinity Three Examples
  462.    wt: 5:   10 Three one sided limits with infinite values
  463.    wt: 5:   8 Four Animated Examples
  464.    wt: 5:   7 Evaluation by immediate or delayed substitution
  465.    wt: 5:   G.6 Bounded Derivatives implies Lipshitz Continuity
  466.    wt: 5:   G.5 Motions With Bounded Velocities
  467.    wt: 5:   G.2 Differentiable Functions Mean Value Theorem
  468.    wt: 5:   G.1 Differentiable Functions Rolles Theorem
  469.    wt: 5:   F.4 Finite Covering Theorem
  470.    wt: 5:   F.2 Closed Range Theorem
  471.    wt: 5:   E2 Algebraic Properties of Limits
  472.    wt: 5:   E1 Error Control Inequalities
  473.    wt: 5:   D2 Limits of Monotone Sequences
  474.    wt: 5:   C Triangle Inequalities
  475.    wt: 5:   A1. Introduction
  476.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  477.    wt: 5:   Chapter 23 Links To Trigonometry
  478.    wt: 5:   Chapter 22 Complex Numbers
  479.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  480.    wt: 5:   Chapter 16. Velocity Approximation
  481.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  482.    wt: 5:   Chapter 12. Units and Slopes
  483.    wt: 5:   Chapter 10 Slopes and Units
  484.    wt: 5:   Chapter 2. Slopes and Ski Trails
  485.    wt: 5:   Chapter 1.Introduction
  486.    wt: 5:   Fall 1983 Calculus Appetizer
  487.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  488.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  489.    wt: 5:   Postscript A Three Remarks
  490.    wt: 5:   Chapter 11 Elementary Instruction
  491.    wt: 5:   Chapter 8 Modern Instruction
  492.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  493.    wt: 5:   Chapter 5 Four References
  494.    wt: 5:   Chapter 3 Algebra Difficulties
  495.    wt: 5:   Chapter 1 Introduction
  496.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  497.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  498.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  499.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  500.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  501.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  502.    wt: 5:   O On Learning Mathematics and Science
  503.    wt: 4:   Appendix 2 primary school Arithmetic 01
  504.    wt: 4:   J LAMP Introduction Extrinsic Origins
  505.    wt: 4:   E LAMP Introduction Modern Mathematics
  506.    wt: 4:   A Introduction Objectives
  507.    wt: 4:   Skills Chapter 4 Logic
  508.    wt: 4:   Ramblings Extrinsic numbers theory
  509.    wt: 4:   Ramblings Introduction Algebra Essay
  510.    wt: 4:   Skills Chapter 3 Algebra
  511.    wt: 4:   Skills Chapter 1 Arithmetic
  512.    wt: 4:   Skills Chapter 0 Introduction
  513.    wt: 4:   11 pure mathematics
  514.    wt: 4:   10 statistics
  515.    wt: 4:   6 polynomials etc
  516.    wt: 4:   3 Euclidean Geometry Leanly
  517.    wt: 4:   2 arithmetic with signed numbers
  518.    wt: 4:   1 arithmetic with unsigned numbers
  519.    wt: 4:   which way to go
  520.    wt: 4:   permissions for teachers
  521.    wt: 4:   Math Ed if it must be short make it lean effective
  522.    wt: 4:   activities for students
  523.    wt: 4:   About site lesson plans
  524.    wt: 4:   key notes and themes
  525.    wt: 4:   modern education
  526.    wt: 4:   what should be learnt and When
  527.    wt: 4:   Postscript 2007 01 10
  528.    wt: 4:   three difficulties
  529.    wt: 4:   teaching tips
  530.    wt: 4:   Lessening Algebra Difficulties
  531.    wt: 4:   02 21 words for teachers
  532.    wt: 4:   three aims for mathematics students
  533.    wt: 4:   three kinds of reason in mathematics
  534.    wt: 4:   Four ways to improve education reform
  535.    wt: 4:   How to be a better instructor
  536.    wt: 4:   chapitre 07 01 principle D induction mathematique
  537.    wt: 4:   chapitre 04 09 Regles accidentelles
  538.    wt: 4:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  539.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  540.    wt: 4:   chapitre 02 00 La Communication des idees
  541.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  542.    wt: 4:   22 Student Centered Highschool Mathematics
  543.    wt: 4:   13 Addition and Addition Tables
  544.    wt: 4:   12 Goals and Objectives For Mathematics
  545.    wt: 4:   11 Help and Defend Your Child or Teens Education
  546.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  547.    wt: 4:   5 Patience Please for Yourself and Your Charges
  548.    wt: 4:   26 Function definitions done and coming
  549.    wt: 4:   20 Interchanging coordinates a reflection
  550.    wt: 4:   17 Function maxima minima and their location
  551.    wt: 4:   14 Surjections Injections Bijections
  552.    wt: 4:   12 Function Domain Recognition Exercises
  553.    wt: 4:   11 Function Domain Range Source and Targets
  554.    wt: 4:   4 Function notation in and beyond mathematics
  555.    wt: 4:   1 Geometric Introduction of Function Notation
  556.    wt: 4:   10 quadratic exercises
  557.    wt: 4:   8 quadratics backward use of various formulas
  558.    wt: 4:   5 quadratics completing the square
  559.    wt: 4:   4 quadratics difference of two squares
  560.    wt: 4:   1 quadratics graphing exercises
  561.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  562.    wt: 4:   13 Arrows and Vectors in a Plane
  563.    wt: 4:   3 Location of Point in Decimal Multiplication
  564.    wt: 4:   2 Counting Digits in Decimal Multiplication
  565.    wt: 4:   A Decimal Addition Columm Methods
  566.    wt: 4:   8 Column Multiplication Methods in General
  567.    wt: 4:   7 Decimals Multiplication Methods Examples
  568.    wt: 4:   4 Commutative Law Groups Counting Form
  569.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  570.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  571.    wt: 4:   4 Subtraction and Division Axioms
  572.    wt: 4:   2 Addition and Multiplication Axioms
  573.    wt: 4:   4 Changing Letters
  574.    wt: 4:   2 Computation Rules Evaluation
  575.    wt: 4:   4 Four Examples Fractional Coefficients
  576.    wt: 4:   9 Sets in Probability and Statistics
  577.    wt: 4:   7 Cautious or Safe Set Construction
  578.    wt: 4:   3 Counting with Sets etc
  579.    wt: 4:   4 Greater More Less Than Signs in General
  580.    wt: 4:   11 What are real lengths and numbers
  581.    wt: 4:   9 subtracting signed numbers
  582.    wt: 4:   7 negative and additive inverse
  583.    wt: 4:   5 lengths and signs of numbers
  584.    wt: 4:   D Three Term Ratios
  585.    wt: 4:   21 Working With Signs
  586.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  587.    wt: 4:   B Integer Long Division Multiple Choices
  588.    wt: 4:   13 Subtraction with Additive Inverse
  589.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  590.    wt: 4:   26 Divisibility by 2 3 5 Example
  591.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  592.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  593.    wt: 4:   20 Uniqueness of Prime Factorization
  594.    wt: 4:   19 video Prime Factorization Unique
  595.    wt: 4:   16 video Factors of 980 using prime
  596.    wt: 4:   14 video Factors of 24 Take II
  597.    wt: 4:   11 Efficient Square Rule Use
  598.    wt: 4:   10 video Prime Factorization upto 23 squared
  599.    wt: 4:   9 video Prime Factorization upto 19 squared
  600.    wt: 4:   8 video Prime Factorization upto 19
  601.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  602.    wt: 4:   Quick history of numbers and algebra
  603.    wt: 4:   5 Area Under Curve Exercise
  604.    wt: 4:   3 Two Chain Rule Method Exercises
  605.    wt: 4:   4 Second derivative test exercise example
  606.    wt: 4:   12 Quotient rule examples
  607.    wt: 4:   11 Quotient rule
  608.    wt: 4:   10 Power rule for negative integers
  609.    wt: 4:   8 Differentiation of polynomials
  610.    wt: 4:   7 Animated Differentiation Examples
  611.    wt: 4:   4 Sum Rule
  612.    wt: 4:   3 Motivation for Limit Definition Take 2
  613.    wt: 4:   2 Motivation for Limit Definition Take 1
  614.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  615.    wt: 4:   F.5b Extreme Value Theorem
  616.    wt: 4:   F.3 Intermediate Value Theorem
  617.    wt: 4:   B3 Bolzano Weierstrass Theorem
  618.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  619.    wt: 4:   Chapter 21 Arrow Addition
  620.    wt: 4:   Chapter 18. Slopes Areas Integration
  621.    wt: 4:   Chapter 17. Area Approximation
  622.    wt: 4:   Chapter 15. Slope Approximation
  623.    wt: 4:   Chapter 11. Graphing Slope versus Position
  624.    wt: 4:   Chapter 8. Slope Interpretation
  625.    wt: 4:   Chapter 5. Slope Sign Tests
  626.    wt: 4:   Chapter 4. More Slope Sign Analysis
  627.    wt: 4:   Chapter 3. Slope Sign Analysis
  628.    wt: 4:   Chapter 31 Direct and Indirect Reason
  629.    wt: 4:   Chapter 28 Occurrence Tables
  630.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  631.    wt: 4:   Chapter 19. Functions and Sets
  632.    wt: 4:   Chapter 13. Second Reading Guide
  633.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  634.    wt: 4:   Chapter 12 Four Phases
  635.    wt: 4:   Chapter 10 Transition
  636.    wt: 4:   Chapter 9 The Two Ends
  637.    wt: 4:   Chapter 7 Two Treatments of Geometry
  638.    wt: 4:   Postscript C Consistency as a Tool for Reason
  639.    wt: 4:   Chapter 24 Direct and Indirect Reason
  640.    wt: 4:   Chapter 21 Occurrence Tables
  641.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  642.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  643.    wt: 4:   E. When and how to correct errors
  644.    wt: 4:   D. Check work a must with a caution
  645.    wt: 4:   C. Domino effect of being careful
  646.    wt: 4:   How to Build Skills and Confidence
  647.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  648.    wt: 4:   Helping the Blind in Logic and Mathematics
  649.    wt: 4:   Mathematics Education References
  650.    wt: 4:   Mathematics Education References
  651.    wt: 4:   More Algebra and Slope based Calculus Preview
  652.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  653.    wt: 3:   I LAMP Introduction Study Habits
  654.    wt: 3:   G LAMP Introduction Problem Solving Skills
  655.    wt: 3:   F LAMP Introduction Prerequisites
  656.    wt: 3:   Skills Chapter 2 Geometry
  657.    wt: 3:   4 algebra
  658.    wt: 3:   What is POMME
  659.    wt: 3:   why bother
  660.    wt: 3:   website reviews
  661.    wt: 3:   three goals to set for students
  662.    wt: 3:   Applied Maths Program14092009 POMME variant
  663.    wt: 3:   site origins
  664.    wt: 3:   site eurekas
  665.    wt: 3:   learning takes time
  666.    wt: 3:   how letters appear
  667.    wt: 3:   talk the algebra talk
  668.    wt: 3:   What to Tell Students
  669.    wt: 3:   the trouble with algebra
  670.    wt: 3:   04 25 when to stop or suspend mathemat
  671.    wt: 3:   Operational Viewpoint to Value
  672.    wt: 3:   formal or informal peer review
  673.    wt: 3:   Theory of Knowledge
  674.    wt: 3:   Different Kinds of Reasoning in maths
  675.    wt: 3:   Prequel In For A Penny In For A Pound
  676.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  677.    wt: 3:   chapitre 06 00 Chaines de la raison
  678.    wt: 3:   chapitre 05 00 Deception
  679.    wt: 3:   chapitre 04 08 Limitations et benefices
  680.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  681.    wt: 3:   chapitre 04 05 Implication versus suggestion
  682.    wt: 3:   chapitre 04 00 Les regles d implication
  683.    wt: 3:   chapitre 01 00 Introduction
  684.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  685.    wt: 3:   Home Tutoring and Home Schooling
  686.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  687.    wt: 3:   18 Primary School Mathematics
  688.    wt: 3:   17 Math Booklets for children and young teenagers
  689.    wt: 3:   16 Secondary Mathematics Tips
  690.    wt: 3:   14 Multiplication and Times Tables
  691.    wt: 3:   3 Preparing for Science Studies
  692.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  693.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  694.    wt: 3:   22 Square Root function graphically
  695.    wt: 3:   18 Vertical Line Rule and Method
  696.    wt: 3:   16 Increasing or decreasing on intervals
  697.    wt: 3:   13 From one to one to many to one
  698.    wt: 3:   8 Set view of relations and functions
  699.    wt: 3:   6 Set Existence Formation and Notation
  700.    wt: 3:   5 Function notation for geometric transformations
  701.    wt: 3:   3 Formula or function graphing exercise
  702.    wt: 3:   2 Algebraic use of function notation
  703.    wt: 3:   A Quadratics Summary
  704.    wt: 3:   7 quadratic formulla derivation
  705.    wt: 3:   2 quadratics graphing in general
  706.    wt: 3:   Quadratics in 10 steps
  707.    wt: 3:   5 Natural Logarithm Calculator Exercises
  708.    wt: 3:   1 Calculator Starter Exercises
  709.    wt: 3:   A Modular and Remainder Arithmetic
  710.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  711.    wt: 3:   15 Head to Tails in place Addition Associative
  712.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  713.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  714.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  715.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  716.    wt: 3:   4 Location of Point in Decimal Addition
  717.    wt: 3:   1 Fractions with Finite Decimal Expansions
  718.    wt: 3:   1 The Counting Origins of Numbers
  719.    wt: 3:   4 Fraction Operations Axiomatic Development
  720.    wt: 3:   2 Fraction Operations Physical Development
  721.    wt: 3:   5 Proportionality in Equivalent Fractions
  722.    wt: 3:   4 Rates Ratios and Proporitionality
  723.    wt: 3:   2 Algebraic View
  724.    wt: 3:   6 Compound Interest Forward and Backwards
  725.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  726.    wt: 3:   1 Changing Calculations
  727.    wt: 3:   6 Equations and Systems Equivalent or Implied
  728.    wt: 3:   3 Product Axioms Two Forms
  729.    wt: 3:   1 Equivalent Computation Rules
  730.    wt: 3:   4 Comparison of Negative Numbers
  731.    wt: 3:   3 More and Less Than with Unlike Signs
  732.    wt: 3:   1 Real Numbers Comparison
  733.    wt: 3:   8 Coordinates for Maps and Planes
  734.    wt: 3:   5 Independent versus Dependent Variables
  735.    wt: 3:   5 Algebraic Solutions Introduction
  736.    wt: 3:   Skill Development Notes
  737.    wt: 3:   10 One Example
  738.    wt: 3:   9 Three Examples
  739.    wt: 3:   8 One Example
  740.    wt: 3:   7 Two Examples
  741.    wt: 3:   6 Three Examples
  742.    wt: 3:   5 Three Examples
  743.    wt: 3:   4 Two Examples
  744.    wt: 3:   3 Two Examples
  745.    wt: 3:   2 Three Examples
  746.    wt: 3:   arithmetic videos Real Player Format
  747.    wt: 3:   5 Square Roots with primes more still
  748.    wt: 3:   4 Square Roots with primes more
  749.    wt: 3:   3 Properties of Square Roots with example
  750.    wt: 3:   2 Square Roots with Prime
  751.    wt: 3:   10 dividing signed numbers
  752.    wt: 3:   8 multiplying signed numbers
  753.    wt: 3:   6 adding signed numbers
  754.    wt: 3:   11 Adding Integers Formulas and Examples
  755.    wt: 3:   10 Integer Multiplication Formulas
  756.    wt: 3:   8 Multiplication by Signed Numbers Integers
  757.    wt: 3:   7 Multiplication by Signs
  758.    wt: 3:   6 Multiplication by Natural Numbers
  759.    wt: 3:   5 Zero Movement and Additive Inverses
  760.    wt: 3:   4 Adding Movements wiht opposite directions
  761.    wt: 3:   3 Adding Movements with same direction
  762.    wt: 3:   1 Integers as Coordinates
  763.    wt: 3:   About folder contents
  764.    wt: 3:   016 Numbering Occidental Calendar Days
  765.    wt: 3:   015 School and work day counting tables
  766.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  767.    wt: 3:   4 Definite Integrals Evaluation Exercises
  768.    wt: 3:   2 Indefinite Integrals Exercises
  769.    wt: 3:   1 Chain Rule in Reverse Integration Method
  770.    wt: 3:   3 Second derivative test
  771.    wt: 3:   2 Second derivative test prequel
  772.    wt: 3:   Foreword
  773.    wt: 3:   Chapter 25. Mathematical Induction Examples
  774.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  775.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  776.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  777.    wt: 3:   Annotated Links to Material Elsehwere
  778.    wt: 3:   Foreword
  779.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  780.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  781.    wt: 3:   Chapter 15 Objective Processes
  782.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  783.    wt: 3:   Chapter 11 Accidental Patterns
  784.    wt: 3:   N Mathematics Prepare for College Studies
  785.    wt: 3:   M Words to extend arithmetic
  786.    wt: 3:   I. Logic and language skills
  787.    wt: 3:   F. The student teacher tutor feedback loop
  788.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  789.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  790.    wt: 2:   chapitre 12 00 les iles et division
  791.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  792.    wt: 2:   chapitre 04 06 engagements
  793.    wt: 2:   chapitre 04 04 Parlons de la logique
  794.    wt: 2:   chapitre 04 02 Deuxieme enigme
  795.    wt: 2:   chapitre 04 01 Premiere enigme
  796.    wt: 2:   24 Standards For Skill Develoment Take II
  797.    wt: 2:   24 Standards For Skill Develoment
  798.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  799.    wt: 2:   15 Counting For Parents
  800.    wt: 2:   10 Ends values for work study instruction
  801.    wt: 2:   9 Streaming by Student Cooperation
  802.    wt: 2:   8 The Effect of Negative Remarks
  803.    wt: 2:   4 Learning Takes Time and Effort
  804.    wt: 2:   2 Reading and Writing Skills
  805.    wt: 2:   Ages 12 to 14 Arithmetic
  806.    wt: 2:   Ages 10 to 12 Arithmetic
  807.    wt: 2:   sign monoticity analysis example 4
  808.    wt: 2:   sign monoticity analysis example 3
  809.    wt: 2:   sign monoticity analysis example 2
  810.    wt: 2:   sign monoticity analysis example 1
  811.    wt: 2:   23 Inverse Functions
  812.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  813.    wt: 2:   19 Horizontal line rule and method
  814.    wt: 2:   15 Sign analysis of functions
  815.    wt: 2:   7 Functions with finite domains
  816.    wt: 2:   Introduction Reading Guide
  817.    wt: 2:   11 Growth and Decay in Biology
  818.    wt: 2:   10 Exponential Growth and Decay Models
  819.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  820.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  821.    wt: 2:   2 Column Multiplication Method
  822.    wt: 2:   Rewriting algebraic substitution as function substitutions
  823.    wt: 2:   A Signed Number Arithmetic Review
  824.    wt: 2:   26 More Less Greater Than Comparison
  825.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  826.    wt: 2:   22 Multiplication of Signed Numbers
  827.    wt: 2:   21 Addition of Multiples of a Single Vector
  828.    wt: 2:   19 Signed Multiples of Vectors
  829.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  830.    wt: 2:   12 Real Numbers Line Signed Coordinates
  831.    wt: 2:   11 Signed Number Addition and Addition Properties
  832.    wt: 2:   9 Division with Digits after Decimal Point
  833.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  834.    wt: 2:   E Long Division Methods more
  835.    wt: 2:   D Long Division Methods
  836.    wt: 2:   5 Distributive Law for Whole Numbers
  837.    wt: 2:   5 Areas of Rectangles Revisited
  838.    wt: 2:   3 Inequalities Algebraically
  839.    wt: 2:   3 Proportionality Examples
  840.    wt: 2:   1 What is Proportionality
  841.    wt: 2:   5 Equality in Algebra
  842.    wt: 2:   5 Greater More Less Than Signs in General
  843.    wt: 2:   13 Real Number Subtraction
  844.    wt: 2:   9 Coordinates for Regions in Space
  845.    wt: 2:   3 GE III Equation Addition and Multiplication
  846.    wt: 2:   6 Algebraic Solution Example
  847.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  848.    wt: 2:   7 Compound Interest Formula Introduction
  849.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  850.    wt: 2:   4 Circle Area Formula Example
  851.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  852.    wt: 2:   8 Sets of Numbers
  853.    wt: 2:   5 Product Builder Notation
  854.    wt: 2:   1 Finite Sets
  855.    wt: 2:   D Remainders Modulo 11 Pair Rule
  856.    wt: 2:   12 Adding Integers More Examples
  857.    wt: 2:   9 Multiplying Integers
  858.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  859.    wt: 2:   Formula Evaluation how to show work
  860.    wt: 2:   Expression Evaluation how to show work
  861.    wt: 2:   The 20 Times Table
  862.    wt: 2:   The 12 Times Table Visually
  863.    wt: 2:   014 Counting Days with Calendars
  864.    wt: 2:   5 Conversion Arithmetic
  865.    wt: 2:   4 Mixing and Changing Units of Time
  866.    wt: 2:   2 Time and Date Matters in School
  867.    wt: 2:   A Related Material in Volume 3
  868.    wt: 2:   A Related lessons in Volume 3
  869.    wt: 2:   Postscript More on Better Performance
  870.    wt: 2:   Postscript For Better Performance
  871.    wt: 2:   Appendix E. How To Study Mathematics and Why
  872.    wt: 2:   Appendix D. What to do in School and Why
  873.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  874.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  875.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  876.    wt: 2:   Chapter 20. Degrees and Radians
  877.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  878.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  879.    wt: 2:   Chapter 12. Shorthand Usage Guide
  880.    wt: 2:   Chapter 11. Why Shorthand
  881.    wt: 2:   Solutions For Arithmetic Exercises
  882.    wt: 2:   Chapter 6 Change of Language
  883.    wt: 2:   Chapter 4 Longer Chains of Reason
  884.    wt: 2:   Chapter 3 Chains of Reason
  885.    wt: 2:   Postscript B More on Story Telling and Reason
  886.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  887.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  888.    wt: 2:   Chapter 18 Sense and Knowledge
  889.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  890.    wt: 2:   Chapter 8 Change of Language
  891.    wt: 2:   Chapter 7 Longer Chains of Reason
  892.    wt: 2:   Chapter 6 Chains of Reason
  893.    wt: 2:   Chapter 5 Deception
  894.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  895.    wt: 2:   Chapter 1 Introduction
  896.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  897.    wt: 2:   R Why Learn Mathematics Skills
  898.    wt: 2:   N Improving Marks on Tests and Finals
  899.    wt: 2:   J. More on written work and showing skill
  900.    wt: 2:   H Jigsaw puzzles and problem solving
  901.    wt: 2:   G. Written work formats for developing and showing skill
  902.    wt: 2:   B. Domino effect of errors
  903.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  904.    wt: 2:   Systematic Algebra Skill Development Missing Links
  905.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  906.    wt: 2:   Which Way To Go
  907.    wt: 2:   The Math Forum and Site Content
  908.    wt: 1:   liens
  909.    wt: 1:   problemes responses
  910.    wt: 1:   problemes algebre et arithmetique
  911.    wt: 1:   Trois Notions qui menent a algebre
  912.    wt: 1:   deux definitions pour variable
  913.    wt: 1:   logique deux enigme
  914.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  915.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  916.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  917.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  918.    wt: 1:   7 Student Motivation
  919.    wt: 1:   1 Speaking Skills
  920.    wt: 1:   Ages 12 to 14 Skills with take home value
  921.    wt: 1:   Ages 12 to 14 Geometry
  922.    wt: 1:   Ages 10 to 12 Geometry
  923.    wt: 1:   Ages 9 to 10
  924.    wt: 1:   Ages 8 to 9
  925.    wt: 1:   Ages 7 to 8
  926.    wt: 1:   Ages 6 to 7
  927.    wt: 1:   Ages 4 plus to 5 plus
  928.    wt: 1:   Ages 3 plus to 4 plus
  929.    wt: 1:   10 Interval Notation
  930.    wt: 1:   9 Set theory term relation possible origins
  931.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  932.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  933.    wt: 1:   2 Square Root Simplification a prequel
  934.    wt: 1:   8 Notes for instructors or tutors
  935.    wt: 1:   3 Polynomials Multiplication Addition
  936.    wt: 1:   musings do not puiblish real numbers
  937.    wt: 1:   23 Distributive Law Two Derivations
  938.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  939.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  940.    wt: 1:   5 Triangle Area Formula Backwards
  941.    wt: 1:   16 Real Numbers Comparison
  942.    wt: 1:   14 Real Number Multiplication
  943.    wt: 1:   10 Real Number Lengths and Signs
  944.    wt: 1:   7 Real Numbers as Line Cordinates
  945.    wt: 1:   3 Fractions
  946.    wt: 1:   1 Whole and Natural Numbers
  947.    wt: 1:   More Exercises
  948.    wt: 1:   Simple Exercises
  949.    wt: 1:   2 GE II Comparison
  950.    wt: 1:   4 Solving a triangular system exercise
  951.    wt: 1:   2 Essentially one exercises three with solution
  952.    wt: 1:   3 Four Examples
  953.    wt: 1:   2 Three Examples
  954.    wt: 1:   1 Proper Equal Sign Usage
  955.    wt: 1:   Using Letters for Physical Quantities
  956.    wt: 1:   13 Naming Identifying Formulas with Words
  957.    wt: 1:   9 Volume of Cone
  958.    wt: 1:   8 Compound Interest Formula Evaluation
  959.    wt: 1:   2 Another Rectangle Area Formula Example
  960.    wt: 1:   1 Written work formats for developing and showing skill
  961.    wt: 1:   6 Power Set Notation
  962.    wt: 1:   4 Subset Builder Notation
  963.    wt: 1:   2 Venn Diagrams
  964.    wt: 1:   5 Talking about Numbers and Quantities
  965.    wt: 1:   4 A Brief Story of numbers and algebra
  966.    wt: 1:   3 Adding Words To Arithmetic
  967.    wt: 1:   About Folder Contents
  968.    wt: 1:   013 Travel Time Tables
  969.    wt: 1:   6 How long is a million seconds
  970.    wt: 1:   3 Units and Lengths of Time
  971.    wt: 1:   Appendix C. How to Read
  972.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  973.    wt: 1:   Chapter 30 Truth Tables
  974.    wt: 1:   Chapter 23. Notation For Sums
  975.    wt: 1:   Chapter 21. Third Reading Guide
  976.    wt: 1:   Chapter 18. Rules for Algebra
  977.    wt: 1:   Chapter 16. Painless Theorem Proving
  978.    wt: 1:   Chapter 15. Solving Linear Equations
  979.    wt: 1:   Postscript What is a Variable
  980.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  981.    wt: 1:   Chapter 8 Three Skills For Algebra
  982.    wt: 1:   Postscript A Story Telling
  983.    wt: 1:   Chapter 23 Truth Tables
  984.    wt: 1:   Chapter 10 Responsibility
  985.    wt: 1:   Chapter 2 Skill Development
  986.    wt: 1:   S Adding words to algebra
  987.    wt: 1:   L Skills with take home value
  988.    wt: 1:   H more Routine to non routine problem solving
  989.    wt: 1:   A. Skill has to be seen to believed
  990.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  991.    wt: 1:   Implementation Notes
  992.    wt: 14:   31 basic secant cosecant cotangent trig identities
  993.    wt: 14:   30 unit circle calculation of six trigonometric functions
  994.    wt: 14:   29 secant cosecant and cotangent for acute angles
  995.    wt: 13:   13 cosecant function Definition Graph and Inverse
  996.    wt: 13:   13 Velocity Vectors in Physics
  997.    wt: 13:   Construction Methods and Criteria for Isometric and Similar Triangles
  998.    wt: 13:   3 Harder Cases Convert to Compare and Subtract
  999.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
  1000.    wt: 12:   15 cosecant function Definition Graph and Inverse
  1001.    wt: 12:   3 Left Inverse of cosine arccos definition
  1002.    wt: 12:   7 Coordinate Addition and Scalar Multiplication
  1003.    wt: 12:   27 Logarithmic use of products of sines and cosines
  1004.    wt: 12:   Right Triangle and Unit Circle Trigonometry
  1005.    wt: 12:   7 Subtraction for Decimal Fractions with Exercises
  1006.    wt: 11:   C Electromotive force conventional current02
  1007.    wt: 11:   16 cotangent function Definition Graph and Inverse
  1008.    wt: 11:   14 secant function Definition Graph and Inverse
  1009.    wt: 11:   6 Graph of arccos function
  1010.    wt: 11:   15 Dot and Cross Product
  1011.    wt: 11:   14 Why Scalar Multiplication Distributes Physical Argument
  1012.    wt: 11:   Vector and Complex Number Applet
  1013.    wt: 11:   Analytic View of Triangle Construction or Line Instersection More
  1014.    wt: 11:   35 sines and cosines of 2A 3A 4A 5A
  1015.    wt: 11:   34 sines and cosines of 2A 3A 4A 5A
  1016.    wt: 11:   33 sines and cosines of 2A 3A 4A 5A
  1017.    wt: 11:   32 seven rows of pascals triangle
  1018.    wt: 11:   26 Formulas for products of sines and cosines
  1019.    wt: 11:   19 Pythagorean Identity For sine and cosine functions
  1020.    wt: 11:   17E Trig Formulas for dot and cross Products
  1021.    wt: 11:   17D cis formulas for sine cosines and tangent
  1022.    wt: 11:   17C sine and cosine double triple angle formulas
  1023.    wt: 11:   17A The complex number valued trig function cis
  1024.    wt: 11:   15 sine cosine Complementary Angle Relations
  1025.    wt: 11:   14 cosine even and sine and tangent are odd
  1026.    wt: 11:   6 sines and cosines for reference angle 30 degrees
  1027.    wt: 11:   5 sines and cosines for reference angle 60 degrees
  1028.    wt: 11:   4 sines and cosines for reference angle 45 degrees
  1029.    wt: 11:   3 sines and cosines for reference angle 90 degrees
  1030.    wt: 11:   Unit Circle Development of Trigonometry
  1031.    wt: 11:   13 Trig Formulas for dot and cross Products
  1032.    wt: 11:   13 Pythagorean spatial distance formulas
  1033.    wt: 11:   PS C Similarity Use Recognize it in Trigonometry
  1034.    wt: 11:   9 Construction of a right bisector
  1035.    wt: 11:   6 Ruler and compass Angle Bisection
  1036.    wt: 11:   1 Initial Concepts and Terms
  1037.    wt: 11:   3 Lengths and Areas on Maps and Plans
  1038.    wt: 11:   17 GCD LCM of 85 and 60 via Prime
  1039.    wt: 11:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1040.    wt: 11:   7 GCD and LCM from prime factorization
  1041.    wt: 11:   6 Subtraction with Conversion Example with Exercises
  1042.    wt: 11:   4 Subtraction with Conversions Borrows and Letter J
  1043.    wt: 11:   2 Decimal Counting Practices
  1044.    wt: 11:   Chapter 7 Calculus Previews and Calculus Lightly
  1045.    wt: 10:   2 Conductance Resistance Duality02
  1046.    wt: 10:   1 Conductance Resistance Duality01
  1047.    wt: 10:   C Wire Resistance Calculation01
  1048.    wt: 10:   B Electromotive force conventional current01
  1049.    wt: 10:   5 Swapping Coordinates is a reflection
  1050.    wt: 10:   4 possible motivation for term arccos
  1051.    wt: 10:   2 cosine function more properties
  1052.    wt: 10:   1 cosine function properties
  1053.    wt: 10:   4 Circle Sector Area proportional to Central Angle
  1054.    wt: 10:   3 Circle Arclengh Proportional to Central Angle
  1055.    wt: 10:   6 Vectors with Coordinates
  1056.    wt: 10:   2 Graphing y=Af(x) Vertical Scaling
  1057.    wt: 10:   SAS Method For Isometric Or Proportional Triangle Construction
  1058.    wt: 10:   28 Expressing products of sines cosines as sums
  1059.    wt: 10:   25 tangent double angle formula Slope connection
  1060.    wt: 10:   23 sine and cosine of 180 plus 22.5 degrees
  1061.    wt: 10:   21 sine and cosine Half Angle Formulas
  1062.    wt: 10:   20 sine and cosine Double Angle Formulas
  1063.    wt: 10:   17B sine cosine Angle Sum Formulas via cis
  1064.    wt: 10:   13 Graph of tangent function many periods
  1065.    wt: 10:   11 tangent function undefined when terminal side vertical
  1066.    wt: 10:   10 Graphs of sines and cosines many periods
  1067.    wt: 10:   9 Graphs of sine and cosine over one period
  1068.    wt: 10:   7 period of sine and cosine
  1069.    wt: 10:   7 Second Way to Calculate Products
  1070.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1071.    wt: 10:   7 Exercises to test skill and concept mastery
  1072.    wt: 10:   6 Polar Multiplication and Rotation
  1073.    wt: 10:   5 Cartesian Addition and Translation
  1074.    wt: 10:   4 Polar Coordinates to and from
  1075.    wt: 10:   3 Rectangular Coordinates Review
  1076.    wt: 10:   2 Cartesian Coordinates with signs
  1077.    wt: 10:   1 Cartesian Coordinates sans signs
  1078.    wt: 10:   PS F Scalar Multiplication Distributes over Addition
  1079.    wt: 10:   PS E Multiplication with Polar Coordinates
  1080.    wt: 10:   PS D Addition with Cartesian Coordinates
  1081.    wt: 10:   PS B Parallelogram Construction Methods
  1082.    wt: 10:   PS A Kite Construction Methods
  1083.    wt: 10:   16 Angles Subtended By Chords and Diameters
  1084.    wt: 10:   13 Angle Side Angle Failure
  1085.    wt: 10:   11 Triangle Construction Fails
  1086.    wt: 10:   3 Isometry of Triangles Congruence
  1087.    wt: 10:   2 Correspondence between Triangles
  1088.    wt: 10:   Short Course on Euclidean Geometry
  1089.    wt: 10:   4 Angles on Maps Plans drawn to scale
  1090.    wt: 10:   16 GCD and LCM of 650 225 via Prime
  1091.    wt: 10:   14 GCD of 650 110 via Primes LCM via Product Rule
  1092.    wt: 10:   13 GCD from given Prime Factorization
  1093.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1094.    wt: 10:   1 Least Common Multiples LCM Introduction
  1095.    wt: 10:   5 Decimal Fraction Multiplication
  1096.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1097.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1098.    wt: 10:   Appendix 2 Three Decimal Subtraction Methods
  1099.    wt: 10:   Appendix 1 Decimals Comparison Method Take II
  1100.    wt: 10:   Subtraction with J Conversions Example
  1101.    wt: 10:   5 A Tip for Efficent Subtraction
  1102.    wt: 10:   2 Subtraction Easy Case Examples
  1103.    wt: 10:   7 Adding decimal fractions using decimal point
  1104.    wt: 10:   6. Counting and adding units and mixed units
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
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May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

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Natural Logs, Exponentials, Powers, Roots

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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

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

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

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