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

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

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

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

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

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

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

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

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
  3.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 3:   12 Function Translating and Rescaling/
  5.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  6.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  7.    wt: 2:   Mathematics Education Essays/
  8.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  9.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  10.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  11.    wt: 2:   2 Formula Forward Use Evaluation/
  12.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  13.    wt: 2:   D Decimal Long Division Methods/
  14.    wt: 2:   C Decimal Multiplication Methods/
  15.    wt: 2:   A Decimal Counting and Adding Methods/
  16.    wt: 2:   2 Arithmetic with Decimals/
  17.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  18.    wt: 1:   Archives/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   13 Vectors/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   8 Unit Circle Trigonometry/
  26.    wt: 1:   7 Complex Numbers/
  27.    wt: 1:   6 Trigonometry first steps/
  28.    wt: 1:   5 What is Similarity/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   1 Maps Plans Measurement/
  32.    wt: 1:   Geometry maps plans trigonometry vectors/
  33.    wt: 1:   B Real Numbers Extrinsic Development/
  34.    wt: 1:   A Origins of Counting and Figuring Methods/
  35.    wt: 1:   10 Examples of Algebraic Reasoning/
  36.    wt: 1:   9 Proportionality Backwards and Forwards/
  37.    wt: 1:   8 Unifying Theme For Algebra/
  38.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  39.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  40.    wt: 1:   5 Real Numbers/
  41.    wt: 1:   4 Computation Rules and Function Notation/
  42.    wt: 1:   Step 4 Gaussian Elimination/
  43.    wt: 1:   Step 1 Stick diagram and fractions/
  44.    wt: 1:   3 Solving Linear Equations/
  45.    wt: 1:   1 Working With Sets/
  46.    wt: 1:   Algebra Starter Lessons/
  47.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  48.    wt: 1:   38 Lessons on Calculating Derivatives/
  49.    wt: 1:   Volume 2 Three Skills For Algebra/
  50.    wt: 1:   Volume 1A Pattern Based Reason/
  51.    wt: 1:   Volume 1 Elements of Reason/
  52.    wt: 1:   Mathematics 506 Lessons/
  53.    wt: 1:   Mathematics Skill Development Framework/

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341 matches:

  1.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  4.    wt: 3:   Skills Chapter 2 Geometry
  5.    wt: 3:   Applied Maths Program14092009 POMME variant
  6.    wt: 3:   02 20 mathematics education references
  7.    wt: 3:   22 Student Centered Highschool Mathematics
  8.    wt: 3:   12 From Applied To Pure Mathematics
  9.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 3:   12 GCD 2700 288 via Prime
  11.    wt: 3:   Chapter 22 Complex Numbers
  12.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  13.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  14.    wt: 3:   Chapter 2 For and Against Mathematics
  15.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  16.    wt: 2:   3 Euclidean Geometry Leanly
  17.    wt: 2:   04 29 New Mathematics Curriculum
  18.    wt: 2:   02 21 words for teachers
  19.    wt: 2:   Leaner mathematics curriculum
  20.    wt: 2:   2 Conductance Resistance Duality02
  21.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  22.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  23.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  24.    wt: 2:   12 Goals and Objectives For Mathematics
  25.    wt: 2:   Ages 12 to 14 Geometry
  26.    wt: 2:   Ages 10 to 12 Geometry
  27.    wt: 2:   22 Square Root function graphically
  28.    wt: 2:   22 Multiplication of Signed Numbers
  29.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  30.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  31.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  32.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  33.    wt: 2:   22 Complex Compound Fractions
  34.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  35.    wt: 2:   26 Divisibility by 2 3 5 Example
  36.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  37.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  38.    wt: 2:   23 Remainder Arithmetic Modulo 2
  39.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  40.    wt: 2:   9 22 Minute Subtraction Review Video
  41.    wt: 2:   22 Chain Rule for polynomials
  42.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  43.    wt: 2:   Chapter 23 Links To Trigonometry
  44.    wt: 2:   Chapter 21 Arrow Addition
  45.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  46.    wt: 2:   Chapter 12. Units and Slopes
  47.    wt: 2:   Chapter 2. Slopes and Ski Trails
  48.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  49.    wt: 2:   Chapter 28 Occurrence Tables
  50.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  51.    wt: 2:   Chapter 25. Mathematical Induction Examples
  52.    wt: 2:   Chapter 25. Mathematical Induction Examples
  53.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  54.    wt: 2:   Chapter 23. Notation For Sums
  55.    wt: 2:   Chapter 21. Third Reading Guide
  56.    wt: 2:   Chapter 20. Degrees and Radians
  57.    wt: 2:   Chapter 12. Shorthand Usage Guide
  58.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  59.    wt: 2:   Chapter 12 Four Phases
  60.    wt: 2:   Chapter 7 Two Treatments of Geometry
  61.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  62.    wt: 2:   Chapter 24 Direct and Indirect Reason
  63.    wt: 2:   Chapter 23 Truth Tables
  64.    wt: 2:   Chapter 21 Occurrence Tables
  65.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  66.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  67.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  68.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  69.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  70.    wt: 2:   Chapter 2 Skill Development
  71.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  72.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  73.    wt: 1:   Appendix 2 primary school Arithmetic 01
  74.    wt: 1:   E LAMP Introduction Modern Mathematics
  75.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  76.    wt: 1:   Skills Chapter 5 Calculus
  77.    wt: 1:   Skills Chapter 4 Logic
  78.    wt: 1:   Skills Chapter 3 Algebra
  79.    wt: 1:   Skills Chapter 1 Arithmetic
  80.    wt: 1:   Skills Chapter 0 Introduction
  81.    wt: 1:   11 pure mathematics
  82.    wt: 1:   8 analytic geometry etc
  83.    wt: 1:   2 arithmetic with signed numbers
  84.    wt: 1:   Math Ed if it must be short make it lean effective
  85.    wt: 1:   Mathematics Education Professors
  86.    wt: 1:   mathematics in context
  87.    wt: 1:   Postscript 2007 01 10
  88.    wt: 1:   Secondary Three Mathematics
  89.    wt: 1:   Secondary Two Mathematics
  90.    wt: 1:   Secondary One Mathematics
  91.    wt: 1:   mathematics curriculum shifts
  92.    wt: 1:   three goals for Mathematics Education
  93.    wt: 1:   04 25 when to stop or suspend mathemat
  94.    wt: 1:   three aims for mathematics students
  95.    wt: 1:   mathematics instruction in general
  96.    wt: 1:   Education in mathematics science and technology
  97.    wt: 1:   three kinds of reason in mathematics
  98.    wt: 1:   need for a mixed mathematics curriculum
  99.    wt: 1:   words for mathematics instructor
  100.    wt: 1:   chapitre 12 00 les iles et division
  101.    wt: 1:   chapitre 04 02 Deuxieme enigme
  102.    wt: 1:   chapitre 02 00 La Communication des idees
  103.    wt: 1:   2 Energy Power Heat07
  104.    wt: 1:   B Energy Power02
  105.    wt: 1:   D Wire Resistance Calculation02
  106.    wt: 1:   B Wire Resistance Qualitative02
  107.    wt: 1:   2 Unlike resistors in parallel01
  108.    wt: 1:   H Series Circuit02
  109.    wt: 1:   C Electromotive force conventional current02
  110.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  111.    wt: 1:   24 Standards For Skill Develoment Take II
  112.    wt: 1:   24 Standards For Skill Develoment
  113.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  114.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  115.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  116.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  117.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  118.    wt: 1:   18 Primary School Mathematics
  119.    wt: 1:   16 Secondary Mathematics Tips
  120.    wt: 1:   2 Reading and Writing Skills
  121.    wt: 1:   Ages 12 to 14 Skills with take home value
  122.    wt: 1:   Ages 12 to 14 Arithmetic
  123.    wt: 1:   Ages 10 to 12 Arithmetic
  124.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  125.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  126.    wt: 1:   sign monoticity analysis example 2
  127.    wt: 1:   26 Function definitions done and coming
  128.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  129.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  130.    wt: 1:   23 Inverse Functions
  131.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  132.    wt: 1:   20 Interchanging coordinates a reflection
  133.    wt: 1:   12 Function Domain Recognition Exercises
  134.    wt: 1:   4 Function notation in and beyond mathematics
  135.    wt: 1:   2 Algebraic use of function notation
  136.    wt: 1:   2 quadratics graphing in general
  137.    wt: 1:   2 Square Root Simplification a prequel
  138.    wt: 1:   2 Column Multiplication Method
  139.    wt: 1:   12 motivation for term arctan
  140.    wt: 1:   2 cosine function more properties
  141.    wt: 1:   2 Radian Measure Numerical Value of one degree
  142.    wt: 1:   2 Signed Coordinates
  143.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  144.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  145.    wt: 1:   12 Straight Lines Graphing mx plus b
  146.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  147.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  148.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  149.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  150.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  151.    wt: 1:   32 seven rows of pascals triangle
  152.    wt: 1:   29 secant cosecant and cotangent for acute angles
  153.    wt: 1:   28 Expressing products of sines cosines as sums
  154.    wt: 1:   27 Logarithmic use of products of sines and cosines
  155.    wt: 1:   26 Formulas for products of sines and cosines
  156.    wt: 1:   25 tangent double angle formula Slope connection
  157.    wt: 1:   24 tangent Angle Difference Formula
  158.    wt: 1:   21 sine and cosine Half Angle Formulas
  159.    wt: 1:   20 sine and cosine Double Angle Formulas
  160.    wt: 1:   12 Graph of tangent function for one period
  161.    wt: 1:   2 Quadrant I reference Angles
  162.    wt: 1:   21 Logarithms Powers and Exponentials
  163.    wt: 1:   20 N th Roots of Complex Numbers
  164.    wt: 1:   12 cis formulas for sine cosines and tangent
  165.    wt: 1:   2 Complex Numbers made easier we hope
  166.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  167.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  168.    wt: 1:   12 Triangles Similarity More Problems
  169.    wt: 1:   2 Similarity By Design
  170.    wt: 1:   12 Links Lessons elsewhere
  171.    wt: 1:   2 point slope equation for a line
  172.    wt: 1:   12 Spatial Coordinates
  173.    wt: 1:   2 Cartesian Coordinates with signs
  174.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  175.    wt: 1:   21 Parallelograms
  176.    wt: 1:   12 Side Angle Side Failure
  177.    wt: 1:   2 Correspondence between Triangles
  178.    wt: 1:   Short Course on Euclidean Geometry
  179.    wt: 1:   2 Measuring Area Directly
  180.    wt: 1:   26 More Less Greater Than Comparison
  181.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  182.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  183.    wt: 1:   23 Distributive Law Two Derivations
  184.    wt: 1:   21 Addition of Multiples of a Single Vector
  185.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  186.    wt: 1:   12 Real Numbers Line Signed Coordinates
  187.    wt: 1:   2 Counting Digits in Decimal Multiplication
  188.    wt: 1:   2 Combing Counts Addition Skills and Principles
  189.    wt: 1:   2 Fraction Operations Physical Development
  190.    wt: 1:   2 Algebraic View
  191.    wt: 1:   2 Linear Equation Literal Solution
  192.    wt: 1:   2 Addition and Multiplication Axioms
  193.    wt: 1:   2 More and Less Than for Counts and Measures
  194.    wt: 1:   12 Real Number Additive Inverses or Negatives
  195.    wt: 1:   2 Integers
  196.    wt: 1:   2 Computation Rules Evaluation
  197.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  198.    wt: 1:   2 GE II Comparison
  199.    wt: 1:   2 Essentially one exercises three with solution
  200.    wt: 1:   2 Three Examples
  201.    wt: 1:   2 Three Examples
  202.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  203.    wt: 1:   2 Another Rectangle Area Formula Example
  204.    wt: 1:   2 Venn Diagrams
  205.    wt: 1:   2 What is a Variable
  206.    wt: 1:   2 More and Less Than with Unlike Signs
  207.    wt: 1:   2 Square Roots with Prime
  208.    wt: 1:   2 Least Common Multiple LCM intro via list method
  209.    wt: 1:   2 Counting with Tables and Trees I
  210.    wt: 1:   2 signed and unsigned numbers as coordinates
  211.    wt: 1:   2 Equality and Units
  212.    wt: 1:   21 Working With Signs
  213.    wt: 1:   21 Reciprocals for Fractions and Wholes
  214.    wt: 1:   20 Dividing Fractions the Why
  215.    wt: 1:   12 Fraction Comparison
  216.    wt: 1:   2 Unit Fraction Multiplication
  217.    wt: 1:   12 Adding Integers More Examples
  218.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  219.    wt: 1:   21 Remainder Arithmetic Modulo 3
  220.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  221.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  222.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  223.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  224.    wt: 1:   20 Uniqueness of Prime Factorization
  225.    wt: 1:   15 video Factors of 20 using Prime Factorization
  226.    wt: 1:   14 video Factors of 24 Take II
  227.    wt: 1:   13 video Factors of 24 using prime
  228.    wt: 1:   12 LCD GCD and LCM using Primes
  229.    wt: 1:   10 video Prime Factorization upto 23 squared
  230.    wt: 1:   2 Prime and Composites less than 16
  231.    wt: 1:   Long Division forwards and backwards Example 2
  232.    wt: 1:   12 Why Long Division Works Take III
  233.    wt: 1:   4 Division with 2 Digit Divsors
  234.    wt: 1:   2 Division with Single Digit Divisors
  235.    wt: 1:   2 One Digit Multipliers
  236.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  237.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  238.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  239.    wt: 1:   2 Subtraction Easy Case Examples
  240.    wt: 1:   2 Decimal Counting Practices
  241.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  242.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  243.    wt: 1:   The 20 Times Table
  244.    wt: 1:   The 12 Times Table Visually
  245.    wt: 1:   012 Division of Time Intervals by Time Intervals
  246.    wt: 1:   2 Time and Date Matters in School
  247.    wt: 1:   Example 2 volume of a cone
  248.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  249.    wt: 1:   Example 2
  250.    wt: 1:   Area Between Curves Lesson Take 2
  251.    wt: 1:   2 Indefinite Integrals Exercises
  252.    wt: 1:   2 Second derivative test prequel
  253.    wt: 1:   29 Chain Rule Optional Reading
  254.    wt: 1:   28 Chain Rule Preparation for a Proof
  255.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  256.    wt: 1:   26 Chain Rule Recognising outer inner functions
  257.    wt: 1:   25 Chain Rule Animated Examples Continued
  258.    wt: 1:   24 Chain Rule Animated Examples
  259.    wt: 1:   23 Chain Rule in general
  260.    wt: 1:   21 Chain Rule for powers
  261.    wt: 1:   20 Chain Rule for Pulley Systems
  262.    wt: 1:   14 sine and cosine derivatives 2nd step
  263.    wt: 1:   12 Quotient rule examples
  264.    wt: 1:   3 Motivation for Limit Definition Take 2
  265.    wt: 1:   2 Motivation for Limit Definition Take 1
  266.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  267.    wt: 1:   2 Algebraic codification
  268.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  269.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  270.    wt: 1:   F.2 Closed Range Theorem
  271.    wt: 1:   E2 Algebraic Properties of Limits
  272.    wt: 1:   D2 Limits of Monotone Sequences
  273.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  274.    wt: 1:   Chapter 18. Slopes Areas Integration
  275.    wt: 1:   Chapter 17. Area Approximation
  276.    wt: 1:   Chapter 16. Velocity Approximation
  277.    wt: 1:   Chapter 15. Slope Approximation
  278.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  279.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  280.    wt: 1:   Chapter 13. Acceleration
  281.    wt: 1:   Chapter 11. Graphing Slope versus Position
  282.    wt: 1:   Chapter 10 Slopes and Units
  283.    wt: 1:   Chapter 9 About First Courses in Calculus
  284.    wt: 1:   Chapter 8. Slope Interpretation
  285.    wt: 1:   Chapter 7 Slopes and Velocity
  286.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  287.    wt: 1:   Chapter 5. Slope Sign Tests
  288.    wt: 1:   Chapter 4. More Slope Sign Analysis
  289.    wt: 1:   Chapter 3. Slope Sign Analysis
  290.    wt: 1:   Chapter 1.Introduction
  291.    wt: 1:   Appendix E. How To Study Mathematics and Why
  292.    wt: 1:   Chapter 31 Direct and Indirect Reason
  293.    wt: 1:   Chapter 30 Truth Tables
  294.    wt: 1:   Chapter 19. Functions and Sets
  295.    wt: 1:   Chapter 18. Rules for Algebra
  296.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  297.    wt: 1:   Chapter 16. Painless Theorem Proving
  298.    wt: 1:   Chapter 15. Solving Linear Equations
  299.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  300.    wt: 1:   Chapter 13. Second Reading Guide
  301.    wt: 1:   Chapter 11. Why Shorthand
  302.    wt: 1:   Chapter 10 Describing and Changing Calculations
  303.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  304.    wt: 1:   Chapter 8 Three Skills For Algebra
  305.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  306.    wt: 1:   Chapter 6 Change of Language
  307.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  308.    wt: 1:   Chapter 4 Longer Chains of Reason
  309.    wt: 1:   Chapter 3 Chains of Reason
  310.    wt: 1:   Postscript B Mathematics Education References
  311.    wt: 1:   Chapter 11 Elementary Instruction
  312.    wt: 1:   Chapter 10 Transition
  313.    wt: 1:   Chapter 9 The Two Ends
  314.    wt: 1:   Chapter 8 Modern Instruction
  315.    wt: 1:   Chapter 5 Four References
  316.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  317.    wt: 1:   Chapter 3 Algebra Difficulties
  318.    wt: 1:   Chapter 1 Introduction
  319.    wt: 1:   Chapter 18 Sense and Knowledge
  320.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  321.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  322.    wt: 1:   Chapter 15 Objective Processes
  323.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  324.    wt: 1:   Chapter 11 Accidental Patterns
  325.    wt: 1:   Chapter 10 Responsibility
  326.    wt: 1:   Chapter 8 Change of Language
  327.    wt: 1:   Chapter 7 Longer Chains of Reason
  328.    wt: 1:   Chapter 6 Chains of Reason
  329.    wt: 1:   Chapter 5 Deception
  330.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  331.    wt: 1:   Chapter 1 Introduction
  332.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  333.    wt: 1:   R Why Learn Mathematics Skills
  334.    wt: 1:   O On Learning Mathematics and Science
  335.    wt: 1:   N Mathematics Prepare for College Studies
  336.    wt: 1:   Helping the Blind in Logic and Mathematics
  337.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  338.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  339.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  340.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  341.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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863 matches:

  1.    wt: 7:   Appendix 2 primary school Arithmetic 01
  2.    wt: 7:   E LAMP Introduction Modern Mathematics
  3.    wt: 7:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 7:   Skills Chapter 5 Calculus
  5.    wt: 7:   Skills Chapter 4 Logic
  6.    wt: 7:   Skills Chapter 3 Algebra
  7.    wt: 7:   Skills Chapter 1 Arithmetic
  8.    wt: 7:   Skills Chapter 0 Introduction
  9.    wt: 6:   Appendix 1 primary and preschool mathematic
  10.    wt: 6:   K LAMP Musings Science Education
  11.    wt: 6:   J LAMP Introduction Extrinsic Origins
  12.    wt: 6:   I LAMP Introduction Study Habits
  13.    wt: 6:   H LAMP Introduction Instructional Concepts
  14.    wt: 6:   G LAMP Introduction Problem Solving Skills
  15.    wt: 6:   F LAMP Introduction Prerequisites
  16.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  17.    wt: 6:   A Introduction Objectives
  18.    wt: 6:   Ramblings Extrinsic numbers theory
  19.    wt: 6:   Ramblings Introduction Algebra Essay
  20.    wt: 6:   Applied Maths Program14092009 POMME variant
  21.    wt: 6:   02 20 mathematics education references
  22.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  23.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  24.    wt: 6:   PS B Parallelogram Construction Methods
  25.    wt: 6:   21 Parallelograms
  26.    wt: 6:   12 Side Angle Side Failure
  27.    wt: 6:   2 Correspondence between Triangles
  28.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  29.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  30.    wt: 6:   Chapter 2 For and Against Mathematics
  31.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  32.    wt: 5:   3 Euclidean Geometry Leanly
  33.    wt: 5:   2 arithmetic with signed numbers
  34.    wt: 5:   three goals for Mathematics Education
  35.    wt: 5:   04 29 New Mathematics Curriculum
  36.    wt: 5:   02 21 words for teachers
  37.    wt: 5:   22 Student Centered Highschool Mathematics
  38.    wt: 5:   12 From Applied To Pure Mathematics
  39.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  40.    wt: 5:   PS H Distributive Law For Complex Numbers
  41.    wt: 5:   PS G Rotation Distributes over Addition
  42.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  43.    wt: 5:   PS E Multiplication with Polar Coordinates
  44.    wt: 5:   PS D Addition with Cartesian Coordinates
  45.    wt: 5:   PS C Similarity Use Recognize it in Trigonometry
  46.    wt: 5:   PS A Kite Construction Methods
  47.    wt: 5:   Short Course on Euclidean Geometry
  48.    wt: 5:   2 Three Examples
  49.    wt: 5:   9 22 Minute Subtraction Review Video
  50.    wt: 5:   2 Subtraction Easy Case Examples
  51.    wt: 5:   Chapter 22 Complex Numbers
  52.    wt: 5:   Chapter 12 Four Phases
  53.    wt: 5:   Chapter 19 What is in chapters 20 to 24
  54.    wt: 4:   11 pure mathematics
  55.    wt: 4:   8 analytic geometry etc
  56.    wt: 4:   Secondary Three Mathematics
  57.    wt: 4:   Secondary Two Mathematics
  58.    wt: 4:   Secondary One Mathematics
  59.    wt: 4:   mathematics curriculum shifts
  60.    wt: 4:   Lessening Algebra Difficulties
  61.    wt: 4:   the trouble with algebra
  62.    wt: 4:   04 25 when to stop or suspend mathemat
  63.    wt: 4:   three aims for mathematics students
  64.    wt: 4:   three kinds of reason in mathematics
  65.    wt: 4:   Leaner mathematics curriculum
  66.    wt: 4:   Ages 12 to 14 Geometry
  67.    wt: 4:   22 Square Root function graphically
  68.    wt: 4:   2 Square Root Simplification a prequel
  69.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  70.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  71.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  72.    wt: 4:   19 Right Triangle Similarity
  73.    wt: 4:   18 Triangle Similarity Take 1
  74.    wt: 4:   17 Right Bisectors of Triangle Sides
  75.    wt: 4:   16 Angles Subtended By Chords and Diameters
  76.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  77.    wt: 4:   14 Parallel Lines Postulate
  78.    wt: 4:   13 Angle Side Angle Failure
  79.    wt: 4:   11 Triangle Construction Fails
  80.    wt: 4:   10 Dropping a perpendicular to line
  81.    wt: 4:   9 Construction of a right bisector
  82.    wt: 4:   8 Isoceles Triangles
  83.    wt: 4:   7 Angle Side Angle
  84.    wt: 4:   6 Ruler and compass Angle Bisection
  85.    wt: 4:   5 Side Angle Side
  86.    wt: 4:   4 Side Side Side
  87.    wt: 4:   3 Isometry of Triangles Congruence
  88.    wt: 4:   1 Initial Concepts and Terms
  89.    wt: 4:   2 Essentially one exercises three with solution
  90.    wt: 4:   2 More and Less Than with Unlike Signs
  91.    wt: 4:   Long Division forwards and backwards Example 2
  92.    wt: 4:   12 Why Long Division Works Take III
  93.    wt: 4:   2 Division with Single Digit Divisors
  94.    wt: 4:   2 One Digit Multipliers
  95.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  96.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  97.    wt: 4:   Video Power Notation in Decimal Expansion
  98.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  99.    wt: 4:   2 Decimal Counting Practices
  100.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  101.    wt: 4:   Chapter 28 Occurrence Tables
  102.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  103.    wt: 4:   Chapter 25. Mathematical Induction Examples
  104.    wt: 4:   Chapter 25. Mathematical Induction Examples
  105.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  106.    wt: 4:   Chapter 23. Notation For Sums
  107.    wt: 4:   Chapter 21. Third Reading Guide
  108.    wt: 4:   Chapter 20. Degrees and Radians
  109.    wt: 4:   Chapter 12. Shorthand Usage Guide
  110.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  111.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  112.    wt: 4:   Chapter 7 Two Treatments of Geometry
  113.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  114.    wt: 4:   Chapter 24 Direct and Indirect Reason
  115.    wt: 4:   Chapter 23 Truth Tables
  116.    wt: 4:   Chapter 21 Occurrence Tables
  117.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  118.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  119.    wt: 4:   Chapter 2 Skill Development
  120.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  121.    wt: 3:   10 statistics
  122.    wt: 3:   9 combinatorics probability sets
  123.    wt: 3:   7 logic review and decimals an odd combination
  124.    wt: 3:   6 polynomials etc
  125.    wt: 3:   5 logarithms and exponentials etc
  126.    wt: 3:   4 algebra
  127.    wt: 3:   1 arithmetic with unsigned numbers
  128.    wt: 3:   What is POMME
  129.    wt: 3:   why bother
  130.    wt: 3:   Math Ed if it must be short make it lean effective
  131.    wt: 3:   About site lesson plans
  132.    wt: 3:   Mathematics Education Professors
  133.    wt: 3:   learning takes time
  134.    wt: 3:   mathematics in context
  135.    wt: 3:   Postscript 2007 01 10
  136.    wt: 3:   Maps Plans Drawings
  137.    wt: 3:   how letters appear
  138.    wt: 3:   talk the algebra talk
  139.    wt: 3:   three difficulties
  140.    wt: 3:   teaching tips
  141.    wt: 3:   What to Tell Students
  142.    wt: 3:   geometric implications for algebra
  143.    wt: 3:   teaching tutoring algebraic reason
  144.    wt: 3:   05 13 OldSiteEntrancePage
  145.    wt: 3:   mathematics instruction in general
  146.    wt: 3:   Education in mathematics science and technology
  147.    wt: 3:   need for a mixed mathematics curriculum
  148.    wt: 3:   Prequel In For A Penny In For A Pound
  149.    wt: 3:   education an empirical art
  150.    wt: 3:   fairness and inductive principles for instruction
  151.    wt: 3:   words for mathematics instructor
  152.    wt: 3:   B Energy Power02
  153.    wt: 3:   2 Conductance Resistance Duality02
  154.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  155.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  156.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  157.    wt: 3:   12 Goals and Objectives For Mathematics
  158.    wt: 3:   Ages 12 to 14 Skills with take home value
  159.    wt: 3:   Ages 12 to 14 Arithmetic
  160.    wt: 3:   Ages 10 to 12 Geometry
  161.    wt: 3:   12 motivation for term arctan
  162.    wt: 3:   2 Signed Coordinates
  163.    wt: 3:   4 graphing y=Asin(x c)
  164.    wt: 3:   3 graphing y=f(x c) plus K
  165.    wt: 3:   1 graphing y=f(x a)
  166.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  167.    wt: 3:   C Straight Lines Slope from Coordinates
  168.    wt: 3:   B Straight Line Slope Scaling Properties More
  169.    wt: 3:   A Straight Line Slope Scaling Properties
  170.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  171.    wt: 3:   12 Straight Lines Graphing mx plus b
  172.    wt: 3:   11 Straight Lines Graphing y=mx
  173.    wt: 3:   8 Straight Lines Equation for vertical
  174.    wt: 3:   7 Tangent Function is odd on this domain
  175.    wt: 3:   5 Tangent Function Graph
  176.    wt: 3:   4 Tangent Function Properties
  177.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  178.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  179.    wt: 3:   29 secant cosecant and cotangent for acute angles
  180.    wt: 3:   28 Expressing products of sines cosines as sums
  181.    wt: 3:   27 Logarithmic use of products of sines and cosines
  182.    wt: 3:   26 Formulas for products of sines and cosines
  183.    wt: 3:   25 tangent double angle formula Slope connection
  184.    wt: 3:   24 tangent Angle Difference Formula
  185.    wt: 3:   21 sine and cosine Half Angle Formulas
  186.    wt: 3:   21 Logarithms Powers and Exponentials
  187.    wt: 3:   20 N th Roots of Complex Numbers
  188.    wt: 3:   12 cis formulas for sine cosines and tangent
  189.    wt: 3:   2 Complex Numbers made easier we hope
  190.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  191.    wt: 3:   12 Triangles Similarity More Problems
  192.    wt: 3:   2 Similarity By Design
  193.    wt: 3:   12 Links Lessons elsewhere
  194.    wt: 3:   2 point slope equation for a line
  195.    wt: 3:   12 Spatial Coordinates
  196.    wt: 3:   2 Cartesian Coordinates with signs
  197.    wt: 3:   22 Multiplication of Signed Numbers
  198.    wt: 3:   21 Addition of Multiples of a Single Vector
  199.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  200.    wt: 3:   12 Real Numbers Line Signed Coordinates
  201.    wt: 3:   2 Combing Counts Addition Skills and Principles
  202.    wt: 3:   2 Algebraic View
  203.    wt: 3:   12 Real Number Additive Inverses or Negatives
  204.    wt: 3:   2 GE II Comparison
  205.    wt: 3:   6 Algebraic Solution Example
  206.    wt: 3:   5 Algebraic Solutions Introduction
  207.    wt: 3:   4 Four Examples Fractional Coefficients
  208.    wt: 3:   3 Four Examples
  209.    wt: 3:   1 Proper Equal Sign Usage
  210.    wt: 3:   2 Three Examples
  211.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  212.    wt: 3:   2 Another Rectangle Area Formula Example
  213.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  214.    wt: 3:   12 GCD 2700 288 via Prime
  215.    wt: 3:   22 Complex Compound Fractions
  216.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  217.    wt: 3:   Long Division Backwards more
  218.    wt: 3:   Long Division Backward
  219.    wt: 3:   Long Division forwards and backwards Example 3
  220.    wt: 3:   4 Division with 2 Digit Divsors
  221.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  222.    wt: 3:   Subtraction with J Conversions Example
  223.    wt: 3:   Subtraction Another Video Lesson
  224.    wt: 3:   8 Subtraction with Units of Measure
  225.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  226.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  227.    wt: 3:   5 A Tip for Efficent Subtraction
  228.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  229.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  230.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  231.    wt: 3:   22 Chain Rule for polynomials
  232.    wt: 3:   21 Chain Rule for powers
  233.    wt: 3:   4 Sum Rule
  234.    wt: 3:   .H2 Lipshitz Conditions Integration Calculus Reform
  235.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  236.    wt: 3:   Chapter 23 Links To Trigonometry
  237.    wt: 3:   Chapter 21 Arrow Addition
  238.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  239.    wt: 3:   Chapter 12. Units and Slopes
  240.    wt: 3:   Chapter 2. Slopes and Ski Trails
  241.    wt: 3:   Postscript B Mathematics Education References
  242.    wt: 3:   Chapter 11 Elementary Instruction
  243.    wt: 3:   Chapter 10 Transition
  244.    wt: 3:   Chapter 9 The Two Ends
  245.    wt: 3:   Chapter 8 Modern Instruction
  246.    wt: 3:   Chapter 5 Four References
  247.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  248.    wt: 3:   Chapter 3 Algebra Difficulties
  249.    wt: 3:   Chapter 1 Introduction
  250.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  251.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  252.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  253.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  254.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  255.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  256.    wt: 2:   which way to go
  257.    wt: 2:   website reviews
  258.    wt: 2:   three goals to set for students
  259.    wt: 2:   Teach the teachers plus goals
  260.    wt: 2:   permissions for teachers
  261.    wt: 2:   activities for students
  262.    wt: 2:   links Education Resources online
  263.    wt: 2:   site origins
  264.    wt: 2:   site eurekas
  265.    wt: 2:   key notes and themes
  266.    wt: 2:   teacher certification
  267.    wt: 2:   modern education
  268.    wt: 2:   grouping students according to ability
  269.    wt: 2:   what should be learnt and When
  270.    wt: 2:   Education Reform Inconsistencies
  271.    wt: 2:   five decades make a difference
  272.    wt: 2:   standards for course material
  273.    wt: 2:   Operational Viewpoint to Value
  274.    wt: 2:   formal or informal peer review
  275.    wt: 2:   Theory of Knowledge
  276.    wt: 2:   Different Kinds of Reasoning in maths
  277.    wt: 2:   cultivating intelligence
  278.    wt: 2:   Four ways to improve education reform
  279.    wt: 2:   How to be a better instructor
  280.    wt: 2:   Motivation and Context Problem
  281.    wt: 2:   2 Energy Power Heat07
  282.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  283.    wt: 2:   24 Standards For Skill Develoment Take II
  284.    wt: 2:   24 Standards For Skill Develoment
  285.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  286.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  287.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  288.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  289.    wt: 2:   2 Reading and Writing Skills
  290.    wt: 2:   Ages 10 to 12 Arithmetic
  291.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  292.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  293.    wt: 2:   sign monoticity analysis example 2
  294.    wt: 2:   26 Function definitions done and coming
  295.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  296.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  297.    wt: 2:   23 Inverse Functions
  298.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  299.    wt: 2:   20 Interchanging coordinates a reflection
  300.    wt: 2:   12 Function Domain Recognition Exercises
  301.    wt: 2:   2 Algebraic use of function notation
  302.    wt: 2:   11 Growth and Decay in Biology
  303.    wt: 2:   10 Exponential Growth and Decay Models
  304.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  305.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  306.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  307.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  308.    wt: 2:   5 Natural Logarithm Calculator Exercises
  309.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  310.    wt: 2:   1 Calculator Starter Exercises
  311.    wt: 2:   16 cotangent function Definition Graph and Inverse
  312.    wt: 2:   15 cosecant function Definition Graph and Inverse
  313.    wt: 2:   14 secant function Definition Graph and Inverse
  314.    wt: 2:   13 cosecant function Definition Graph and Inverse
  315.    wt: 2:   11 arctan left inverse of tangent Graph
  316.    wt: 2:   10 arctan left inverse of tangent Definition
  317.    wt: 2:   2 cosine function more properties
  318.    wt: 2:   9 Summary Degrees to Radians and back
  319.    wt: 2:   2 Radian Measure Numerical Value of one degree
  320.    wt: 2:   Parallel Lines and Interior Angles
  321.    wt: 2:   Straight Lines ASA Intersection Study More
  322.    wt: 2:   14 Straight Lines Equations General Case
  323.    wt: 2:   10 Straight Lines through Origin Equations More
  324.    wt: 2:   9 Straight Lines through Origin Equations
  325.    wt: 2:   1 Straight Lines Slope Concept
  326.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  327.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  328.    wt: 2:   32 seven rows of pascals triangle
  329.    wt: 2:   30 unit circle calculation of six trigonometric functions
  330.    wt: 2:   20 sine and cosine Double Angle Formulas
  331.    wt: 2:   12 Graph of tangent function for one period
  332.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  333.    wt: 2:   2 Quadrant I reference Angles
  334.    wt: 2:   8 Triangles Cascade Problem Solving
  335.    wt: 2:   7 Trignometric Ratios Unit Circle
  336.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  337.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  338.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  339.    wt: 2:   3 Trigonometric Ratios sine and cosine
  340.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  341.    wt: 2:   4 Similarity Definition with Coordinate
  342.    wt: 2:   2 Measuring Area Directly
  343.    wt: 2:   26 More Less Greater Than Comparison
  344.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  345.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  346.    wt: 2:   23 Distributive Law Two Derivations
  347.    wt: 2:   19 Signed Multiples of Vectors
  348.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  349.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  350.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  351.    wt: 2:   15 Head to Tails in place Addition Associative
  352.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  353.    wt: 2:   13 Arrows and Vectors in a Plane
  354.    wt: 2:   11 Signed Number Addition and Addition Properties
  355.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  356.    wt: 2:   2 Counting Digits in Decimal Multiplication
  357.    wt: 2:   2 Fraction Operations Physical Development
  358.    wt: 2:   2 Linear Equation Literal Solution
  359.    wt: 2:   2 Addition and Multiplication Axioms
  360.    wt: 2:   2 More and Less Than for Counts and Measures
  361.    wt: 2:   16 Real Numbers Comparison
  362.    wt: 2:   15 Real Number Division
  363.    wt: 2:   14 Real Number Multiplication
  364.    wt: 2:   13 Real Number Subtraction
  365.    wt: 2:   11 Real Number Addition
  366.    wt: 2:   10 Real Number Lengths and Signs
  367.    wt: 2:   2 Integers
  368.    wt: 2:   2 Computation Rules Evaluation
  369.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  370.    wt: 2:   4 Solving a triangular system exercise
  371.    wt: 2:   3 Solving triangular system example
  372.    wt: 2:   1 Essentially One Unknown
  373.    wt: 2:   13 Naming Identifying Formulas with Words
  374.    wt: 2:   11 Volume of Sphere
  375.    wt: 2:   10 Volume of Pyramid
  376.    wt: 2:   9 Volume of Cone
  377.    wt: 2:   8 Compound Interest Formula Evaluation
  378.    wt: 2:   7 Compound Interest Formula Introduction
  379.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  380.    wt: 2:   5 Box Volume Formula Example
  381.    wt: 2:   4 Circle Area Formula Example
  382.    wt: 2:   3 Triangle Area Formula Example
  383.    wt: 2:   1 Written work formats for developing and showing skill
  384.    wt: 2:   2 Venn Diagrams
  385.    wt: 2:   2 What is a Variable
  386.    wt: 2:   4 Greater More Less Than Signs in General
  387.    wt: 2:   3 Comparison of Negative Numbers
  388.    wt: 2:   1 More and Less Than for Counts and Measures
  389.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  390.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  391.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  392.    wt: 2:   2 signed and unsigned numbers as coordinates
  393.    wt: 2:   21 Working With Signs
  394.    wt: 2:   21 Reciprocals for Fractions and Wholes
  395.    wt: 2:   20 Dividing Fractions the Why
  396.    wt: 2:   2 Unit Fraction Multiplication
  397.    wt: 2:   12 Adding Integers More Examples
  398.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  399.    wt: 2:   26 Divisibility by 2 3 5 Example
  400.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  401.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  402.    wt: 2:   23 Remainder Arithmetic Modulo 2
  403.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  404.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  405.    wt: 2:   20 Uniqueness of Prime Factorization
  406.    wt: 2:   12 LCD GCD and LCM using Primes
  407.    wt: 2:   2 Prime and Composites less than 16
  408.    wt: 2:   Division with Counts and Length
  409.    wt: 2:   Long Division forwards and backwards Example 1
  410.    wt: 2:   11 Another Single Digit Divisor Example
  411.    wt: 2:   10 Division by Five Long and Short Ways
  412.    wt: 2:   9 Why Long Division Works Take II
  413.    wt: 2:   8 Correcting the Mistake
  414.    wt: 2:   7 Long Divison Mistake Catching
  415.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  416.    wt: 2:   5 Long Division Include Zeroes or not
  417.    wt: 2:   3 Division Single Digit Divisor Example
  418.    wt: 2:   1 Divsion Physical Examples
  419.    wt: 2:   D Decimal Multiplication Methods Derived
  420.    wt: 2:   C Counting Areas with Powers of Ten
  421.    wt: 2:   B Powers of Ten
  422.    wt: 2:   A Elementary Basis for Multiplication Methods
  423.    wt: 2:   6 Multiplication Commutes Order Not Important
  424.    wt: 2:   5 Decimal Fraction Multiplication
  425.    wt: 2:   4 Two and Three Digit Multipliers
  426.    wt: 2:   3 More One Digit Multipliers
  427.    wt: 2:   1 Why 3 times 5 gives 15
  428.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  429.    wt: 2:   8 What skills and work habits to require
  430.    wt: 2:   7 Adding decimal fractions using decimal point
  431.    wt: 2:   6. Counting and adding units and mixed units
  432.    wt: 2:   5. How to add decimals C. Examples
  433.    wt: 2:   4. How to add with decimals B with conversions
  434.    wt: 2:   3. How to add with decimals A sans conversions
  435.    wt: 2:   1. Explaining Addition Table
  436.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  437.    wt: 2:   The 20 Times Table
  438.    wt: 2:   Example 2 volume of a cone
  439.    wt: 2:   Example 1. Area Between x and x squared
  440.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  441.    wt: 2:   Example 3
  442.    wt: 2:   Example 2
  443.    wt: 2:   Area Between Curves Lesson Take 2
  444.    wt: 2:   A Chain Rule Real Player video examples
  445.    wt: 2:   30Chain Rule A Proof
  446.    wt: 2:   29 Chain Rule Optional Reading
  447.    wt: 2:   28 Chain Rule Preparation for a Proof
  448.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  449.    wt: 2:   26 Chain Rule Recognising outer inner functions
  450.    wt: 2:   25 Chain Rule Animated Examples Continued
  451.    wt: 2:   24 Chain Rule Animated Examples
  452.    wt: 2:   23 Chain Rule in general
  453.    wt: 2:   20 Chain Rule for Pulley Systems
  454.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  455.    wt: 2:   14 sine and cosine derivatives 2nd step
  456.    wt: 2:   12 Quotient rule examples
  457.    wt: 2:   11 Quotient rule
  458.    wt: 2:   10 Power rule for negative integers
  459.    wt: 2:   9 Reciprocal rule
  460.    wt: 2:   8 Differentiation of polynomials
  461.    wt: 2:   7 Animated Differentiation Examples
  462.    wt: 2:   6 Power rule from product rule
  463.    wt: 2:   5 Product Rule
  464.    wt: 2:   3 Motivation for Limit Definition Take 2
  465.    wt: 2:   2 Motivation for Limit Definition Take 1
  466.    wt: 2:   2 Algebraic codification
  467.    wt: 2:   Appendix E. How To Study Mathematics and Why
  468.    wt: 2:   Appendix B. How To Learn
  469.    wt: 2:   Chapter 31 Direct and Indirect Reason
  470.    wt: 2:   Chapter 30 Truth Tables
  471.    wt: 2:   Chapter 19. Functions and Sets
  472.    wt: 2:   Chapter 18. Rules for Algebra
  473.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  474.    wt: 2:   Chapter 16. Painless Theorem Proving
  475.    wt: 2:   Chapter 15. Solving Linear Equations
  476.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  477.    wt: 2:   Chapter 13. Second Reading Guide
  478.    wt: 2:   Chapter 11. Why Shorthand
  479.    wt: 2:   Chapter 10 Describing and Changing Calculations
  480.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  481.    wt: 2:   Chapter 8 Three Skills For Algebra
  482.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  483.    wt: 2:   Chapter 6 Change of Language
  484.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  485.    wt: 2:   Chapter 4 Longer Chains of Reason
  486.    wt: 2:   Chapter 3 Chains of Reason
  487.    wt: 2:   Annotated Links to Material Elsehwere
  488.    wt: 2:   Postscript A Three Remarks
  489.    wt: 2:   Foreword
  490.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  491.    wt: 2:   Postscript C Consistency as a Tool for Reason
  492.    wt: 2:   Postscript B More on Story Telling and Reason
  493.    wt: 2:   Postscript A Story Telling
  494.    wt: 2:   Chapter 18 Sense and Knowledge
  495.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  496.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  497.    wt: 2:   Chapter 15 Objective Processes
  498.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  499.    wt: 2:   Chapter 11 Accidental Patterns
  500.    wt: 2:   Chapter 10 Responsibility
  501.    wt: 2:   Chapter 8 Change of Language
  502.    wt: 2:   Chapter 7 Longer Chains of Reason
  503.    wt: 2:   Chapter 6 Chains of Reason
  504.    wt: 2:   Chapter 5 Deception
  505.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  506.    wt: 2:   Chapter 1 Introduction
  507.    wt: 2:   Three Remarks
  508.    wt: 2:   Helping the Blind in Logic and Mathematics
  509.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  510.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  511.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  512.    wt: 1:   chapitre 12 00 les iles et division
  513.    wt: 1:   chapitre 04 02 Deuxieme enigme
  514.    wt: 1:   chapitre 02 00 La Communication des idees
  515.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  516.    wt: 1:   4 Energy Power Heat09
  517.    wt: 1:   3 Energy Power Heat08
  518.    wt: 1:   1 Energy Power Heat06
  519.    wt: 1:   E Energy Power05
  520.    wt: 1:   D Energy Power04
  521.    wt: 1:   C Energy Power03
  522.    wt: 1:   A Energy Power01
  523.    wt: 1:   D Wire Resistance Calculation02
  524.    wt: 1:   B Wire Resistance Qualitative02
  525.    wt: 1:   3 Like resistors in parallel
  526.    wt: 1:   2 Unlike resistors in parallel01
  527.    wt: 1:   H Series Circuit02
  528.    wt: 1:   C Electromotive force conventional current02
  529.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  530.    wt: 1:   18 Primary School Mathematics
  531.    wt: 1:   16 Secondary Mathematics Tips
  532.    wt: 1:   Ages 9 to 10
  533.    wt: 1:   Ages 8 to 9
  534.    wt: 1:   Ages 7 to 8
  535.    wt: 1:   Ages 6 to 7
  536.    wt: 1:   Ages 4 plus to 5 plus
  537.    wt: 1:   Ages 3 plus to 4 plus
  538.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  539.    wt: 1:   4 Function notation in and beyond mathematics
  540.    wt: 1:   2 quadratics graphing in general
  541.    wt: 1:   2 Column Multiplication Method
  542.    wt: 1:   9 motivation for name arcsin
  543.    wt: 1:   8 arcsin left inverse of sine Graph
  544.    wt: 1:   7 arcsin left inverse of sine Definition
  545.    wt: 1:   6 Graph of arccos function
  546.    wt: 1:   5 Swapping Coordinates is a reflection
  547.    wt: 1:   4 possible motivation for term arccos
  548.    wt: 1:   3 Left Inverse of cosine arccos definition
  549.    wt: 1:   1 cosine function properties
  550.    wt: 1:   8 Radian Measures of Common Angles
  551.    wt: 1:   7 Radian Measures in special Triangles
  552.    wt: 1:   6 Radian Measure to Degrees
  553.    wt: 1:   5 Degrees to Radian Measure
  554.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  555.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  556.    wt: 1:   1 Degrees and Radians Introduction
  557.    wt: 1:   A Global Time and Navigation
  558.    wt: 1:   15 Dot and Cross Product
  559.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  560.    wt: 1:   13 Velocity Vectors in Physics
  561.    wt: 1:   11 Component Method
  562.    wt: 1:   10 Parallelogram Addition Method
  563.    wt: 1:   9 Head to Tail Coordinate View
  564.    wt: 1:   8 Parallel Vectors
  565.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  566.    wt: 1:   6 Vectors with Coordinates
  567.    wt: 1:   5 Head To Tail Arrow Addition
  568.    wt: 1:   4 Resultant of a Sum of Movements
  569.    wt: 1:   3 Navigation with Arrows or Vectors
  570.    wt: 1:   1 Unsigned Coordinates
  571.    wt: 1:   Vector and Complex Number Applet
  572.    wt: 1:   Parallel Lines and Parallel Transversals
  573.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  574.    wt: 1:   Triangle Angles Sum To 180 Degrees
  575.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  576.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  577.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  578.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  579.    wt: 1:   Straight Lines ASA Intersection Study
  580.    wt: 1:   Straight Lines Instersection Solving Equations
  581.    wt: 1:   Straight Lines Intersection of
  582.    wt: 1:   17 tangent function angle sum formulas
  583.    wt: 1:   31 basic secant cosecant cotangent trig identities
  584.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  585.    wt: 1:   18 sum of sinusoidal waves as a single wave
  586.    wt: 1:   17G Pythagorean Theorem Converse
  587.    wt: 1:   17F Law of cosines
  588.    wt: 1:   17E Trig Formulas for dot and cross Products
  589.    wt: 1:   17D cis formulas for sine cosines and tangent
  590.    wt: 1:   17C sine and cosine double triple angle formulas
  591.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  592.    wt: 1:   17A The complex number valued trig function cis
  593.    wt: 1:   16 Right Triangle Complementary Angle Relations
  594.    wt: 1:   15 sine cosine Complementary Angle Relations
  595.    wt: 1:   14 cosine even and sine and tangent are odd
  596.    wt: 1:   13 Graph of tangent function many periods
  597.    wt: 1:   11 tangent function undefined when terminal side vertical
  598.    wt: 1:   10 Graphs of sines and cosines many periods
  599.    wt: 1:   9 Graphs of sine and cosine over one period
  600.    wt: 1:   8 period of tangent function
  601.    wt: 1:   7 period of sine and cosine
  602.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  603.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  604.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  605.    wt: 1:   1 Unit Points Reflections Rotations
  606.    wt: 1:   Unit Circle Development of Trigonometry
  607.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  608.    wt: 1:   19 N th Roots of Unity
  609.    wt: 1:   18 Sixth Roots of Unity
  610.    wt: 1:   17 Cube Roots of unity
  611.    wt: 1:   16 References and Originality Question
  612.    wt: 1:   15 Pythagorean Theorem Converse
  613.    wt: 1:   14 Law of cosines
  614.    wt: 1:   13 Trig Formulas for dot and cross Products
  615.    wt: 1:   11 sine and cosine double triple angle formulas
  616.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  617.    wt: 1:   9 The complex number valued trig function cis
  618.    wt: 1:   8 Unit Circle Development of Trigonometry
  619.    wt: 1:   7 Second Way to Calculate Products
  620.    wt: 1:   6 Field Properties of Complex Number
  621.    wt: 1:   5 An Easy Proof of the Distributive Law
  622.    wt: 1:   4 Multiplication Properties
  623.    wt: 1:   3 Addition Properties
  624.    wt: 1:   1 Rectangular Polar Coordinates Review
  625.    wt: 1:   Appetizer A Complex Number Applet
  626.    wt: 1:   1 Angle Measurement with Degrees
  627.    wt: 1:   Why Trigonometry the whyslopes view
  628.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  629.    wt: 1:   11 Triangle Similarity Missing Side Problem
  630.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  631.    wt: 1:   9 Similarity of Triangles Usual Criteria
  632.    wt: 1:   8 Similarity of Triangles and Polygons
  633.    wt: 1:   7 Translations Rotations Reflections Dilatations
  634.    wt: 1:   6 Geometric Diagrams in Class
  635.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  636.    wt: 1:   3 Similarity by Design with coordinates
  637.    wt: 1:   1 Early Concept of Like or Similar Shapes
  638.    wt: 1:   Four Simple Exercises
  639.    wt: 1:   11 A Partial Summary
  640.    wt: 1:   10 Midpoint of [a b] and [b a]
  641.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  642.    wt: 1:   8 Mid Point Formula
  643.    wt: 1:   7 Exercises to test skill and concept mastery
  644.    wt: 1:   6 Intersection of lines by solving linear systems
  645.    wt: 1:   5 Algebraic View of Slopes
  646.    wt: 1:   4 Equations for lines three forms
  647.    wt: 1:   3 Slope product for perpendicular lines
  648.    wt: 1:   1 Numerical view of lines and their equations
  649.    wt: 1:   What is and is not here
  650.    wt: 1:   13 Pythagorean spatial distance formulas
  651.    wt: 1:   11 Triangle Inequality
  652.    wt: 1:   10 Pythagorean plane distance formula
  653.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  654.    wt: 1:   8 Distance Between Points on a Line
  655.    wt: 1:   7 Complex Numbers Appetizer
  656.    wt: 1:   6 Polar Multiplication and Rotation
  657.    wt: 1:   5 Cartesian Addition and Translation
  658.    wt: 1:   4 Polar Coordinates to and from
  659.    wt: 1:   3 Rectangular Coordinates Review
  660.    wt: 1:   1 Cartesian Coordinates sans signs
  661.    wt: 1:   A Measurement with Ruler Proper Use
  662.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  663.    wt: 1:   6 Figuring with Maps Not to Scale
  664.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  665.    wt: 1:   4 Angles on Maps Plans drawn to scale
  666.    wt: 1:   3 Lengths and Areas on Maps and Plans
  667.    wt: 1:   1 Length Measurement
  668.    wt: 1:   About Folder Contents
  669.    wt: 1:   musings do not puiblish real numbers
  670.    wt: 1:   A Modular and Remainder Arithmetic
  671.    wt: 1:   A Signed Number Arithmetic Review
  672.    wt: 1:   9 Division with Digits after Decimal Point
  673.    wt: 1:   8 Division and Mulplication of Compound Fractions
  674.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  675.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  676.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  677.    wt: 1:   4 Location of Point in Decimal Addition
  678.    wt: 1:   3 Location of Point in Decimal Multiplication
  679.    wt: 1:   1 Fractions with Finite Decimal Expansions
  680.    wt: 1:   E Long Division Methods more
  681.    wt: 1:   D Long Division Methods
  682.    wt: 1:   C Three Decimal Subtraction Methods
  683.    wt: 1:   B Decimal Comparison and Subtraction
  684.    wt: 1:   A Decimal Addition Columm Methods
  685.    wt: 1:   8 Column Multiplication Methods in General
  686.    wt: 1:   7 Decimals Multiplication Methods Examples
  687.    wt: 1:   6 Column Methods for Decimal Multiplication
  688.    wt: 1:   5 Distributive Law for Whole Numbers
  689.    wt: 1:   4 Commutative Law Groups Counting Form
  690.    wt: 1:   3 Multiplicative Counting Skills Principles
  691.    wt: 1:   1 The Counting Origins of Numbers
  692.    wt: 1:   5 Areas of Rectangles Revisited
  693.    wt: 1:   4 Fraction Operations Axiomatic Development
  694.    wt: 1:   3 Inequalities Algebraically
  695.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  696.    wt: 1:   5 Proportionality in Equivalent Fractions
  697.    wt: 1:   4 Rates Ratios and Proporitionality
  698.    wt: 1:   3 Proportionality Examples
  699.    wt: 1:   1 What is Proportionality
  700.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  701.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  702.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  703.    wt: 1:   6 Compound Interest Forward and Backwards
  704.    wt: 1:   5 Triangle Area Formula Backwards
  705.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  706.    wt: 1:   3 Linear Equation Literal Solution More
  707.    wt: 1:   1 Changing Calculations
  708.    wt: 1:   6 Equations and Systems Equivalent or Implied
  709.    wt: 1:   5 Equality in Algebra
  710.    wt: 1:   4 Subtraction and Division Axioms
  711.    wt: 1:   3 Product Axioms Two Forms
  712.    wt: 1:   1 Equivalent Computation Rules
  713.    wt: 1:   5 Greater More Less Than Signs in General
  714.    wt: 1:   4 Comparison of Negative Numbers
  715.    wt: 1:   3 More and Less Than with Unlike Signs
  716.    wt: 1:   1 Real Numbers Comparison
  717.    wt: 1:   9 Coordinates for Regions in Space
  718.    wt: 1:   8 Coordinates for Maps and Planes
  719.    wt: 1:   7 Real Numbers as Line Cordinates
  720.    wt: 1:   6 Unsigned Real Numbers
  721.    wt: 1:   5 Rational Numbers More
  722.    wt: 1:   4 Rational Numbers
  723.    wt: 1:   3 Fractions
  724.    wt: 1:   1 Whole and Natural Numbers
  725.    wt: 1:   5 Independent versus Dependent Variables
  726.    wt: 1:   4 Changing Letters
  727.    wt: 1:   3 Geometric Formulas and Function Notation
  728.    wt: 1:   1 Formulas Dependence and Function Notation
  729.    wt: 1:   More Exercises
  730.    wt: 1:   Simple Exercises
  731.    wt: 1:   4 GE III Animated Examples
  732.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  733.    wt: 1:   3 GE III Equation Addition and Multiplication
  734.    wt: 1:   1 GE Substitution four examples
  735.    wt: 1:   Skill Development Notes
  736.    wt: 1:   10 One Example
  737.    wt: 1:   9 Three Examples
  738.    wt: 1:   8 One Example
  739.    wt: 1:   7 Two Examples
  740.    wt: 1:   6 Three Examples
  741.    wt: 1:   5 Three Examples
  742.    wt: 1:   4 Two Examples
  743.    wt: 1:   3 Two Examples
  744.    wt: 1:   Using Letters for Physical Quantities
  745.    wt: 1:   Formula Usage Show Work Format
  746.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  747.    wt: 1:   9 Sets in Probability and Statistics
  748.    wt: 1:   8 Sets of Numbers
  749.    wt: 1:   7 Cautious or Safe Set Construction
  750.    wt: 1:   6 Power Set Notation
  751.    wt: 1:   5 Product Builder Notation
  752.    wt: 1:   4 Subset Builder Notation
  753.    wt: 1:   3 Counting with Sets etc
  754.    wt: 1:   1 Finite Sets
  755.    wt: 1:   6 Three Notions of What is a Variable
  756.    wt: 1:   5 Talking about Numbers and Quantities
  757.    wt: 1:   4 A Brief Story of numbers and algebra
  758.    wt: 1:   3 Adding Words To Arithmetic
  759.    wt: 1:   1 Three Skills For Algebra
  760.    wt: 1:   About Folder Contents
  761.    wt: 1:   2 Square Roots with Prime
  762.    wt: 1:   8 GCD from Euclidean Algorithm
  763.    wt: 1:   2 Least Common Multiple LCM intro via list method
  764.    wt: 1:   2 Counting with Tables and Trees I
  765.    wt: 1:   3 signed coordinates for maps and planes
  766.    wt: 1:   2 Equality and Units
  767.    wt: 1:   19 Dividing Fractions How TO
  768.    wt: 1:   12 Fraction Comparison
  769.    wt: 1:   13 Subtraction with Additive Inverse
  770.    wt: 1:   21 Remainder Arithmetic Modulo 3
  771.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  772.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  773.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  774.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  775.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  776.    wt: 1:   5 Remainder Arithmetic Modulo 5
  777.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  778.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  779.    wt: 1:   1 Remainder Arithmetic Modulo 10
  780.    wt: 1:   15 video Factors of 20 using Prime Factorization
  781.    wt: 1:   14 video Factors of 24 Take II
  782.    wt: 1:   13 video Factors of 24 using prime
  783.    wt: 1:   10 video Prime Factorization upto 23 squared
  784.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  785.    wt: 1:   The 12 Times Table Visually
  786.    wt: 1:   012 Division of Time Intervals by Time Intervals
  787.    wt: 1:   2 Time and Date Matters in School
  788.    wt: 1:   Example 1 volume of a pyramid
  789.    wt: 1:   Volume of Solid by Cross Sections Lesson
  790.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  791.    wt: 1:   Example 4 with x function of y
  792.    wt: 1:   Example 1
  793.    wt: 1:   Area Between Curves Lesson Take 1
  794.    wt: 1:   Summary
  795.    wt: 1:   2 Indefinite Integrals Exercises
  796.    wt: 1:   1 Chain Rule in Reverse Integration Method
  797.    wt: 1:   2 Second derivative test prequel
  798.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  799.    wt: 1:   38 Formulas and derivatives for powers and roots
  800.    wt: 1:   36 Cube root derivative animated
  801.    wt: 1:   34 Derivative of exponential function
  802.    wt: 1:   33 Chain Rule Real Player video examples
  803.    wt: 1:   31 Derivatives of inverse functions
  804.    wt: 1:   19 Chain Rule for linear functions
  805.    wt: 1:   18 Chain Rule Introduction
  806.    wt: 1:   17 Derivatives of quotients of sine and cosine
  807.    wt: 1:   15 sine and cosine derivatives 3rd step
  808.    wt: 1:   13 sine and cosine derivatives 1st step
  809.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  810.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  811.    wt: 1:   11 Limits at infinity Three Examples
  812.    wt: 1:   3 Decimal insights for limits continuity convergence
  813.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  814.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  815.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  816.    wt: 1:   F.4 Finite Covering Theorem
  817.    wt: 1:   F.2 Closed Range Theorem
  818.    wt: 1:   E2 Algebraic Properties of Limits
  819.    wt: 1:   D2 Limits of Monotone Sequences
  820.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  821.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  822.    wt: 1:   Chapter 18. Slopes Areas Integration
  823.    wt: 1:   Chapter 17. Area Approximation
  824.    wt: 1:   Chapter 16. Velocity Approximation
  825.    wt: 1:   Chapter 15. Slope Approximation
  826.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  827.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  828.    wt: 1:   Chapter 13. Acceleration
  829.    wt: 1:   Chapter 11. Graphing Slope versus Position
  830.    wt: 1:   Chapter 10 Slopes and Units
  831.    wt: 1:   Chapter 9 About First Courses in Calculus
  832.    wt: 1:   Chapter 8. Slope Interpretation
  833.    wt: 1:   Chapter 7 Slopes and Velocity
  834.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  835.    wt: 1:   Chapter 5. Slope Sign Tests
  836.    wt: 1:   Chapter 4. More Slope Sign Analysis
  837.    wt: 1:   Chapter 3. Slope Sign Analysis
  838.    wt: 1:   Chapter 1.Introduction
  839.    wt: 1:   Fall 1983 Calculus Appetizer
  840.    wt: 1:   Postscript More on Better Performance
  841.    wt: 1:   Postscript For Better Performance
  842.    wt: 1:   Appendix D. What to do in School and Why
  843.    wt: 1:   Appendix C. How to Read
  844.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  845.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  846.    wt: 1:   Postscript What is a Variable
  847.    wt: 1:   Solutions For Arithmetic Exercises
  848.    wt: 1:   Foreword
  849.    wt: 1:   Foreword
  850.    wt: 1:   R Why Learn Mathematics Skills
  851.    wt: 1:   O On Learning Mathematics and Science
  852.    wt: 1:   N Mathematics Prepare for College Studies
  853.    wt: 1:   L Skills with take home value
  854.    wt: 1:   B. Domino effect of errors
  855.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  856.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  857.    wt: 1:   Implementation Notes
  858.    wt: 1:   More Algebra and Slope based Calculus Preview
  859.    wt: 1:   Systematic Algebra Skill Development Missing Links
  860.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  861.    wt: 1:   Which Way To Go
  862.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  863.    wt: 10:   Skills Chapter 2 Geometry

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4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

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

More Algebra

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

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

70 Calculus Starter Lessons

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

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

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

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