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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55 matches:

  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:   Secondary Mathematics A Practical Approach/
  54.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  55.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

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

Extended Search

880 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 24. Personal Investment and Pension EGS
  105.    wt: 4:   Chapter 23. Notation For Sums
  106.    wt: 4:   Chapter 21. Third Reading Guide
  107.    wt: 4:   Chapter 20. Degrees and Radians
  108.    wt: 4:   Chapter 12. Shorthand Usage Guide
  109.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  110.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  111.    wt: 4:   Chapter 7 Two Treatments of Geometry
  112.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  113.    wt: 4:   Chapter 24 Direct and Indirect Reason
  114.    wt: 4:   Chapter 23 Truth Tables
  115.    wt: 4:   Chapter 21 Occurrence Tables
  116.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  117.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  118.    wt: 4:   Chapter 2 Skill Development
  119.    wt: 4:   Chapter 2 Why Sets
  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:   G.2 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:   Chapter 6 More Algebra and Geometry
  255.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  256.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  257.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  258.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  259.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  260.    wt: 2:   which way to go
  261.    wt: 2:   website reviews
  262.    wt: 2:   three goals to set for students
  263.    wt: 2:   Teach the teachers plus goals
  264.    wt: 2:   permissions for teachers
  265.    wt: 2:   activities for students
  266.    wt: 2:   links Education Resources online
  267.    wt: 2:   site origins
  268.    wt: 2:   site eurekas
  269.    wt: 2:   key notes and themes
  270.    wt: 2:   teacher certification
  271.    wt: 2:   modern education
  272.    wt: 2:   grouping students according to ability
  273.    wt: 2:   what should be learnt and When
  274.    wt: 2:   Education Reform Inconsistencies
  275.    wt: 2:   five decades make a difference
  276.    wt: 2:   standards for course material
  277.    wt: 2:   Operational Viewpoint to Value
  278.    wt: 2:   formal or informal peer review
  279.    wt: 2:   Theory of Knowledge
  280.    wt: 2:   Different Kinds of Reasoning in maths
  281.    wt: 2:   cultivating intelligence
  282.    wt: 2:   Four ways to improve education reform
  283.    wt: 2:   How to be a better instructor
  284.    wt: 2:   Motivation and Context Problem
  285.    wt: 2:   2 Energy Power Heat07
  286.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  287.    wt: 2:   24 Standards For Skill Develoment Take II
  288.    wt: 2:   24 Standards For Skill Develoment
  289.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  290.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  291.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  292.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  293.    wt: 2:   2 Reading and Writing Skills
  294.    wt: 2:   Ages 10 to 12 Arithmetic
  295.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  296.    wt: 2:   sign monoticity analysis example 2
  297.    wt: 2:   26 Function definitions done and coming
  298.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  299.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  300.    wt: 2:   23 Inverse Functions
  301.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  302.    wt: 2:   20 Interchanging coordinates a reflection
  303.    wt: 2:   12 Function Domain Recognition Exercises
  304.    wt: 2:   2 Algebraic use of function notation
  305.    wt: 2:   11 Growth and Decay in Biology
  306.    wt: 2:   10 Exponential Growth and Decay Models
  307.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  308.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  309.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  310.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  311.    wt: 2:   5 Natural Logarithm Calculator Exercises
  312.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  313.    wt: 2:   1 Calculator Starter Exercises
  314.    wt: 2:   16 cotangent function Definition Graph and Inverse
  315.    wt: 2:   15 cosecant function Definition Graph and Inverse
  316.    wt: 2:   14 secant function Definition Graph and Inverse
  317.    wt: 2:   13 cosecant function Definition Graph and Inverse
  318.    wt: 2:   11 arctan left inverse of tangent Graph
  319.    wt: 2:   10 arctan left inverse of tangent Definition
  320.    wt: 2:   2 cosine function more properties
  321.    wt: 2:   9 Summary Degrees to Radians and back
  322.    wt: 2:   2 Radian Measure Numerical Value of one degree
  323.    wt: 2:   Parallel Lines and Interior Angles
  324.    wt: 2:   Straight Lines ASA Intersection Study More
  325.    wt: 2:   14 Straight Lines Equations General Case
  326.    wt: 2:   10 Straight Lines through Origin Equations More
  327.    wt: 2:   9 Straight Lines through Origin Equations
  328.    wt: 2:   1 Straight Lines Slope Concept
  329.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  330.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  331.    wt: 2:   32 seven rows of pascals triangle
  332.    wt: 2:   30 unit circle calculation of six trigonometric functions
  333.    wt: 2:   20 sine and cosine Double Angle Formulas
  334.    wt: 2:   12 Graph of tangent function for one period
  335.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  336.    wt: 2:   2 Quadrant I reference Angles
  337.    wt: 2:   8 Triangles Cascade Problem Solving
  338.    wt: 2:   7 Trignometric Ratios Unit Circle
  339.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  340.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  341.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  342.    wt: 2:   3 Trigonometric Ratios sine and cosine
  343.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  344.    wt: 2:   4 Similarity Definition with Coordinate
  345.    wt: 2:   2 Measuring Area Directly
  346.    wt: 2:   26 More Less Greater Than Comparison
  347.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  348.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  349.    wt: 2:   23 Distributive Law Two Derivations
  350.    wt: 2:   19 Signed Multiples of Vectors
  351.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  352.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  353.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  354.    wt: 2:   15 Head to Tails in place Addition Associative
  355.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  356.    wt: 2:   13 Arrows and Vectors in a Plane
  357.    wt: 2:   11 Signed Number Addition and Addition Properties
  358.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  359.    wt: 2:   2 Counting Digits in Decimal Multiplication
  360.    wt: 2:   2 Fraction Operations Physical Development
  361.    wt: 2:   2 Linear Equation Literal Solution
  362.    wt: 2:   2 Addition and Multiplication Axioms
  363.    wt: 2:   2 More and Less Than for Counts and Measures
  364.    wt: 2:   16 Real Numbers Comparison
  365.    wt: 2:   15 Real Number Division
  366.    wt: 2:   14 Real Number Multiplication
  367.    wt: 2:   13 Real Number Subtraction
  368.    wt: 2:   11 Real Number Addition
  369.    wt: 2:   10 Real Number Lengths and Signs
  370.    wt: 2:   2 Integers
  371.    wt: 2:   2 Computation Rules Evaluation
  372.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  373.    wt: 2:   4 Solving a triangular system exercise
  374.    wt: 2:   3 Solving triangular system example
  375.    wt: 2:   1 Essentially One Unknown
  376.    wt: 2:   13 Naming Identifying Formulas with Words
  377.    wt: 2:   11 Volume of Sphere
  378.    wt: 2:   10 Volume of Pyramid
  379.    wt: 2:   9 Volume of Cone
  380.    wt: 2:   8 Compound Interest Formula Evaluation
  381.    wt: 2:   7 Compound Interest Formula Introduction
  382.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  383.    wt: 2:   5 Box Volume Formula Example
  384.    wt: 2:   4 Circle Area Formula Example
  385.    wt: 2:   3 Triangle Area Formula Example
  386.    wt: 2:   1 Written work formats for developing and showing skill
  387.    wt: 2:   2 Venn Diagrams
  388.    wt: 2:   2 What is a Variable
  389.    wt: 2:   4 Greater More Less Than Signs in General
  390.    wt: 2:   3 Comparison of Negative Numbers
  391.    wt: 2:   1 More and Less Than for Counts and Measures
  392.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  393.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  394.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  395.    wt: 2:   2 signed and unsigned numbers as coordinates
  396.    wt: 2:   21 Working With Signs
  397.    wt: 2:   21 Reciprocals for Fractions and Wholes
  398.    wt: 2:   20 Dividing Fractions the Why
  399.    wt: 2:   2 Unit Fraction Multiplication
  400.    wt: 2:   12 Adding Integers More Examples
  401.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  402.    wt: 2:   26 Divisibility by 2 3 5 Example
  403.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  404.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  405.    wt: 2:   23 Remainder Arithmetic Modulo 2
  406.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  407.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  408.    wt: 2:   20 Uniqueness of Prime Factorization
  409.    wt: 2:   12 LCD GCD and LCM using Primes
  410.    wt: 2:   2 Prime and Composites less than 16
  411.    wt: 2:   Division with Counts and Length
  412.    wt: 2:   Long Division forwards and backwards Example 1
  413.    wt: 2:   11 Another Single Digit Divisor Example
  414.    wt: 2:   10 Division by Five Long and Short Ways
  415.    wt: 2:   9 Why Long Division Works Take II
  416.    wt: 2:   8 Correcting the Mistake
  417.    wt: 2:   7 Long Divison Mistake Catching
  418.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  419.    wt: 2:   5 Long Division Include Zeroes or not
  420.    wt: 2:   3 Division Single Digit Divisor Example
  421.    wt: 2:   1 Divsion Physical Examples
  422.    wt: 2:   D Decimal Multiplication Methods Derived
  423.    wt: 2:   C Counting Areas with Powers of Ten
  424.    wt: 2:   B Powers of Ten
  425.    wt: 2:   A Elementary Basis for Multiplication Methods
  426.    wt: 2:   6 Multiplication Commutes Order Not Important
  427.    wt: 2:   5 Decimal Fraction Multiplication
  428.    wt: 2:   4 Two and Three Digit Multipliers
  429.    wt: 2:   3 More One Digit Multipliers
  430.    wt: 2:   1 Why 3 times 5 gives 15
  431.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  432.    wt: 2:   8 What skills and work habits to require
  433.    wt: 2:   7 Adding decimal fractions using decimal point
  434.    wt: 2:   6. Counting and adding units and mixed units
  435.    wt: 2:   5. How to add decimals C. Examples
  436.    wt: 2:   4. How to add with decimals B with conversions
  437.    wt: 2:   3. How to add with decimals A sans conversions
  438.    wt: 2:   1. Explaining Addition Table
  439.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  440.    wt: 2:   The 20 Times Table
  441.    wt: 2:   Example 2 volume of a cone
  442.    wt: 2:   Example 1. Area Between x and x squared
  443.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  444.    wt: 2:   Example 3
  445.    wt: 2:   Example 2
  446.    wt: 2:   Area Between Curves Lesson Take 2
  447.    wt: 2:   A Chain Rule Real Player video examples
  448.    wt: 2:   30Chain Rule A Proof
  449.    wt: 2:   29 Chain Rule Optional Reading
  450.    wt: 2:   28 Chain Rule Preparation for a Proof
  451.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  452.    wt: 2:   26 Chain Rule Recognising outer inner functions
  453.    wt: 2:   25 Chain Rule Animated Examples Continued
  454.    wt: 2:   24 Chain Rule Animated Examples
  455.    wt: 2:   23 Chain Rule in general
  456.    wt: 2:   20 Chain Rule for Pulley Systems
  457.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  458.    wt: 2:   14 sine and cosine derivatives 2nd step
  459.    wt: 2:   12 Quotient rule examples
  460.    wt: 2:   11 Quotient rule
  461.    wt: 2:   10 Power rule for negative integers
  462.    wt: 2:   9 Reciprocal rule
  463.    wt: 2:   8 Differentiation of polynomials
  464.    wt: 2:   7 Animated Differentiation Examples
  465.    wt: 2:   6 Power rule from product rule
  466.    wt: 2:   5 Product Rule
  467.    wt: 2:   3 Motivation for Limit Definition Take 2
  468.    wt: 2:   2 Motivation for Limit Definition Take 1
  469.    wt: 2:   2 Algebraic codification
  470.    wt: 2:   Appendix E. How To Study Mathematics and Why
  471.    wt: 2:   Appendix B. How To Learn
  472.    wt: 2:   Chapter 31 Direct and Indirect Reason
  473.    wt: 2:   Chapter 30 Truth Tables
  474.    wt: 2:   Chapter 19. Functions and Sets
  475.    wt: 2:   Chapter 18. Rules for Algebra
  476.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  477.    wt: 2:   Chapter 16. Painless Theorem Proving
  478.    wt: 2:   Chapter 15. Solving Linear Equations
  479.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  480.    wt: 2:   Chapter 13. Second Reading Guide
  481.    wt: 2:   Chapter 11. Why Shorthand
  482.    wt: 2:   Chapter 10 Describing and Changing Calculations
  483.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  484.    wt: 2:   Chapter 8 Three Skills For Algebra
  485.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  486.    wt: 2:   Chapter 6 Change of Language
  487.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  488.    wt: 2:   Chapter 4 Longer Chains of Reason
  489.    wt: 2:   Chapter 3 Chains of Reason
  490.    wt: 2:   Annotated Links to Material Elsehwere
  491.    wt: 2:   Postscript A Three Remarks
  492.    wt: 2:   Foreword
  493.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  494.    wt: 2:   Postscript C Consistency as a Tool for Reason
  495.    wt: 2:   Postscript B More on Story Telling and Reason
  496.    wt: 2:   Postscript A Story Telling
  497.    wt: 2:   Chapter 18 Sense and Knowledge
  498.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  499.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  500.    wt: 2:   Chapter 15 Objective Processes
  501.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  502.    wt: 2:   Chapter 11 Accidental Patterns
  503.    wt: 2:   Chapter 10 Responsibility
  504.    wt: 2:   Chapter 8 Change of Language
  505.    wt: 2:   Chapter 7 Longer Chains of Reason
  506.    wt: 2:   Chapter 6 Chains of Reason
  507.    wt: 2:   Chapter 5 Deception
  508.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  509.    wt: 2:   Chapter 1 Introduction
  510.    wt: 2:   Three Remarks
  511.    wt: 2:   Chapter 8 Skipped Topics and Why
  512.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  513.    wt: 2:   Chapter 3 Algebra Starter Lessons
  514.    wt: 2:   Chapter 1 Arithmetic
  515.    wt: 2:   Helping the Blind in Logic and Mathematics
  516.    wt: 2:   Mathematics Education References
  517.    wt: 2:   Mathematics Education References
  518.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  519.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  520.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  521.    wt: 1:   chapitre 12 00 les iles et division
  522.    wt: 1:   chapitre 04 02 Deuxieme enigme
  523.    wt: 1:   chapitre 02 00 La Communication des idees
  524.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  525.    wt: 1:   4 Energy Power Heat09
  526.    wt: 1:   3 Energy Power Heat08
  527.    wt: 1:   1 Energy Power Heat06
  528.    wt: 1:   E Energy Power05
  529.    wt: 1:   D Energy Power04
  530.    wt: 1:   C Energy Power03
  531.    wt: 1:   A Energy Power01
  532.    wt: 1:   D Wire Resistance Calculation02
  533.    wt: 1:   B Wire Resistance Qualitative02
  534.    wt: 1:   3 Like resistors in parallel
  535.    wt: 1:   2 Unlike resistors in parallel01
  536.    wt: 1:   H Series Circuit02
  537.    wt: 1:   C Electromotive force conventional current02
  538.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  539.    wt: 1:   18 Primary School Mathematics
  540.    wt: 1:   16 Secondary Mathematics Tips
  541.    wt: 1:   Ages 9 to 10
  542.    wt: 1:   Ages 8 to 9
  543.    wt: 1:   Ages 7 to 8
  544.    wt: 1:   Ages 6 to 7
  545.    wt: 1:   Ages 4 plus to 5 plus
  546.    wt: 1:   Ages 3 plus to 4 plus
  547.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  548.    wt: 1:   4 Function notation in and beyond mathematics
  549.    wt: 1:   2 quadratics graphing in general
  550.    wt: 1:   2 Column Multiplication Method
  551.    wt: 1:   9 motivation for name arcsin
  552.    wt: 1:   8 arcsin left inverse of sine Graph
  553.    wt: 1:   7 arcsin left inverse of sine Definition
  554.    wt: 1:   6 Graph of arccos function
  555.    wt: 1:   5 Swapping Coordinates is a reflection
  556.    wt: 1:   4 possible motivation for term arccos
  557.    wt: 1:   3 Left Inverse of cosine arccos definition
  558.    wt: 1:   1 cosine function properties
  559.    wt: 1:   8 Radian Measures of Common Angles
  560.    wt: 1:   7 Radian Measures in special Triangles
  561.    wt: 1:   6 Radian Measure to Degrees
  562.    wt: 1:   5 Degrees to Radian Measure
  563.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  564.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  565.    wt: 1:   1 Degrees and Radians Introduction
  566.    wt: 1:   A Global Time and Navigation
  567.    wt: 1:   15 Dot and Cross Product
  568.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  569.    wt: 1:   13 Velocity Vectors in Physics
  570.    wt: 1:   11 Component Method
  571.    wt: 1:   10 Parallelogram Addition Method
  572.    wt: 1:   9 Head to Tail Coordinate View
  573.    wt: 1:   8 Parallel Vectors
  574.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  575.    wt: 1:   6 Vectors with Coordinates
  576.    wt: 1:   5 Head To Tail Arrow Addition
  577.    wt: 1:   4 Resultant of a Sum of Movements
  578.    wt: 1:   3 Navigation with Arrows or Vectors
  579.    wt: 1:   1 Unsigned Coordinates
  580.    wt: 1:   Vector and Complex Number Applet
  581.    wt: 1:   Parallel Lines and Parallel Transversals
  582.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  583.    wt: 1:   Triangle Angles Sum To 180 Degrees
  584.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  585.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  586.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  587.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  588.    wt: 1:   Straight Lines ASA Intersection Study
  589.    wt: 1:   Straight Lines Instersection Solving Equations
  590.    wt: 1:   Straight Lines Intersection of
  591.    wt: 1:   17 tangent function angle sum formulas
  592.    wt: 1:   31 basic secant cosecant cotangent trig identities
  593.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  594.    wt: 1:   18 sum of sinusoidal waves as a single wave
  595.    wt: 1:   17G Pythagorean Theorem Converse
  596.    wt: 1:   17F Law of cosines
  597.    wt: 1:   17E Trig Formulas for dot and cross Products
  598.    wt: 1:   17D cis formulas for sine cosines and tangent
  599.    wt: 1:   17C sine and cosine double triple angle formulas
  600.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  601.    wt: 1:   17A The complex number valued trig function cis
  602.    wt: 1:   16 Right Triangle Complementary Angle Relations
  603.    wt: 1:   15 sine cosine Complementary Angle Relations
  604.    wt: 1:   14 cosine even and sine and tangent are odd
  605.    wt: 1:   13 Graph of tangent function many periods
  606.    wt: 1:   11 tangent function undefined when terminal side vertical
  607.    wt: 1:   10 Graphs of sines and cosines many periods
  608.    wt: 1:   9 Graphs of sine and cosine over one period
  609.    wt: 1:   8 period of tangent function
  610.    wt: 1:   7 period of sine and cosine
  611.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  612.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  613.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  614.    wt: 1:   1 Unit Points Reflections Rotations
  615.    wt: 1:   Unit Circle Development of Trigonometry
  616.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  617.    wt: 1:   19 N th Roots of Unity
  618.    wt: 1:   18 Sixth Roots of Unity
  619.    wt: 1:   17 Cube Roots of unity
  620.    wt: 1:   16 References and Originality Question
  621.    wt: 1:   15 Pythagorean Theorem Converse
  622.    wt: 1:   14 Law of cosines
  623.    wt: 1:   13 Trig Formulas for dot and cross Products
  624.    wt: 1:   11 sine and cosine double triple angle formulas
  625.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  626.    wt: 1:   9 The complex number valued trig function cis
  627.    wt: 1:   8 Unit Circle Development of Trigonometry
  628.    wt: 1:   7 Second Way to Calculate Products
  629.    wt: 1:   6 Field Properties of Complex Number
  630.    wt: 1:   5 An Easy Proof of the Distributive Law
  631.    wt: 1:   4 Multiplication Properties
  632.    wt: 1:   3 Addition Properties
  633.    wt: 1:   1 Rectangular Polar Coordinates Review
  634.    wt: 1:   Appetizer A Complex Number Applet
  635.    wt: 1:   1 Angle Measurement with Degrees
  636.    wt: 1:   Why Trigonometry the whyslopes view
  637.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  638.    wt: 1:   11 Triangle Similarity Missing Side Problem
  639.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  640.    wt: 1:   9 Similarity of Triangles Usual Criteria
  641.    wt: 1:   8 Similarity of Triangles and Polygons
  642.    wt: 1:   7 Translations Rotations Reflections Dilatations
  643.    wt: 1:   6 Geometric Diagrams in Class
  644.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  645.    wt: 1:   3 Similarity by Design with coordinates
  646.    wt: 1:   1 Early Concept of Like or Similar Shapes
  647.    wt: 1:   Four Simple Exercises
  648.    wt: 1:   11 A Partial Summary
  649.    wt: 1:   10 Midpoint of [a b] and [b a]
  650.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  651.    wt: 1:   8 Mid Point Formula
  652.    wt: 1:   7 Exercises to test skill and concept mastery
  653.    wt: 1:   6 Intersection of lines by solving linear systems
  654.    wt: 1:   5 Algebraic View of Slopes
  655.    wt: 1:   4 Equations for lines three forms
  656.    wt: 1:   3 Slope product for perpendicular lines
  657.    wt: 1:   1 Numerical view of lines and their equations
  658.    wt: 1:   What is and is not here
  659.    wt: 1:   13 Pythagorean spatial distance formulas
  660.    wt: 1:   11 Triangle Inequality
  661.    wt: 1:   10 Pythagorean plane distance formula
  662.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  663.    wt: 1:   8 Distance Between Points on a Line
  664.    wt: 1:   7 Complex Numbers Appetizer
  665.    wt: 1:   6 Polar Multiplication and Rotation
  666.    wt: 1:   5 Cartesian Addition and Translation
  667.    wt: 1:   4 Polar Coordinates to and from
  668.    wt: 1:   3 Rectangular Coordinates Review
  669.    wt: 1:   1 Cartesian Coordinates sans signs
  670.    wt: 1:   A Measurement with Ruler Proper Use
  671.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  672.    wt: 1:   6 Figuring with Maps Not to Scale
  673.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  674.    wt: 1:   4 Angles on Maps Plans drawn to scale
  675.    wt: 1:   3 Lengths and Areas on Maps and Plans
  676.    wt: 1:   1 Length Measurement
  677.    wt: 1:   About Folder Contents
  678.    wt: 1:   musings do not puiblish real numbers
  679.    wt: 1:   A Modular and Remainder Arithmetic
  680.    wt: 1:   A Signed Number Arithmetic Review
  681.    wt: 1:   9 Division with Digits after Decimal Point
  682.    wt: 1:   8 Division and Mulplication of Compound Fractions
  683.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  684.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  685.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  686.    wt: 1:   4 Location of Point in Decimal Addition
  687.    wt: 1:   3 Location of Point in Decimal Multiplication
  688.    wt: 1:   1 Fractions with Finite Decimal Expansions
  689.    wt: 1:   E Long Division Methods more
  690.    wt: 1:   D Long Division Methods
  691.    wt: 1:   C Three Decimal Subtraction Methods
  692.    wt: 1:   B Decimal Comparison and Subtraction
  693.    wt: 1:   A Decimal Addition Columm Methods
  694.    wt: 1:   8 Column Multiplication Methods in General
  695.    wt: 1:   7 Decimals Multiplication Methods Examples
  696.    wt: 1:   6 Column Methods for Decimal Multiplication
  697.    wt: 1:   5 Distributive Law for Whole Numbers
  698.    wt: 1:   4 Commutative Law Groups Counting Form
  699.    wt: 1:   3 Multiplicative Counting Skills Principles
  700.    wt: 1:   1 The Counting Origins of Numbers
  701.    wt: 1:   5 Areas of Rectangles Revisited
  702.    wt: 1:   4 Fraction Operations Axiomatic Development
  703.    wt: 1:   3 Inequalities Algebraically
  704.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  705.    wt: 1:   5 Proportionality in Equivalent Fractions
  706.    wt: 1:   4 Rates Ratios and Proporitionality
  707.    wt: 1:   3 Proportionality Examples
  708.    wt: 1:   1 What is Proportionality
  709.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  710.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  711.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  712.    wt: 1:   6 Compound Interest Forward and Backwards
  713.    wt: 1:   5 Triangle Area Formula Backwards
  714.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  715.    wt: 1:   3 Linear Equation Literal Solution More
  716.    wt: 1:   1 Changing Calculations
  717.    wt: 1:   6 Equations and Systems Equivalent or Implied
  718.    wt: 1:   5 Equality in Algebra
  719.    wt: 1:   4 Subtraction and Division Axioms
  720.    wt: 1:   3 Product Axioms Two Forms
  721.    wt: 1:   1 Equivalent Computation Rules
  722.    wt: 1:   5 Greater More Less Than Signs in General
  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:   9 Coordinates for Regions in Space
  727.    wt: 1:   8 Coordinates for Maps and Planes
  728.    wt: 1:   7 Real Numbers as Line Cordinates
  729.    wt: 1:   6 Unsigned Real Numbers
  730.    wt: 1:   5 Rational Numbers More
  731.    wt: 1:   4 Rational Numbers
  732.    wt: 1:   3 Fractions
  733.    wt: 1:   1 Whole and Natural Numbers
  734.    wt: 1:   5 Independent versus Dependent Variables
  735.    wt: 1:   4 Changing Letters
  736.    wt: 1:   3 Geometric Formulas and Function Notation
  737.    wt: 1:   1 Formulas Dependence and Function Notation
  738.    wt: 1:   More Exercises
  739.    wt: 1:   Simple Exercises
  740.    wt: 1:   4 GE III Animated Examples
  741.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  742.    wt: 1:   3 GE III Equation Addition and Multiplication
  743.    wt: 1:   1 GE Substitution four examples
  744.    wt: 1:   Skill Development Notes
  745.    wt: 1:   10 One Example
  746.    wt: 1:   9 Three Examples
  747.    wt: 1:   8 One Example
  748.    wt: 1:   7 Two Examples
  749.    wt: 1:   6 Three Examples
  750.    wt: 1:   5 Three Examples
  751.    wt: 1:   4 Two Examples
  752.    wt: 1:   3 Two Examples
  753.    wt: 1:   Using Letters for Physical Quantities
  754.    wt: 1:   Formula Usage Show Work Format
  755.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  756.    wt: 1:   9 Sets in Probability and Statistics
  757.    wt: 1:   8 Sets of Numbers
  758.    wt: 1:   7 Cautious or Safe Set Construction
  759.    wt: 1:   6 Power Set Notation
  760.    wt: 1:   5 Product Builder Notation
  761.    wt: 1:   4 Subset Builder Notation
  762.    wt: 1:   3 Counting with Sets etc
  763.    wt: 1:   1 Finite Sets
  764.    wt: 1:   6 Three Notions of What is a Variable
  765.    wt: 1:   5 Talking about Numbers and Quantities
  766.    wt: 1:   4 A Brief Story of numbers and algebra
  767.    wt: 1:   3 Adding Words To Arithmetic
  768.    wt: 1:   1 Three Skills For Algebra
  769.    wt: 1:   About Folder Contents
  770.    wt: 1:   2 Square Roots with Prime
  771.    wt: 1:   8 GCD from Euclidean Algorithm
  772.    wt: 1:   2 Least Common Multiple LCM intro via list method
  773.    wt: 1:   2 Counting with Tables and Trees I
  774.    wt: 1:   3 signed coordinates for maps and planes
  775.    wt: 1:   2 Equality and Units
  776.    wt: 1:   19 Dividing Fractions How TO
  777.    wt: 1:   12 Fraction Comparison
  778.    wt: 1:   13 Subtraction with Additive Inverse
  779.    wt: 1:   21 Remainder Arithmetic Modulo 3
  780.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  781.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  782.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  783.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  784.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  785.    wt: 1:   5 Remainder Arithmetic Modulo 5
  786.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  787.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  788.    wt: 1:   1 Remainder Arithmetic Modulo 10
  789.    wt: 1:   15 video Factors of 20 using Prime Factorization
  790.    wt: 1:   14 video Factors of 24 Take II
  791.    wt: 1:   13 video Factors of 24 using prime
  792.    wt: 1:   10 video Prime Factorization upto 23 squared
  793.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  794.    wt: 1:   The 12 Times Table Visually
  795.    wt: 1:   012 Division of Time Intervals by Time Intervals
  796.    wt: 1:   2 Time and Date Matters in School
  797.    wt: 1:   Example 1 volume of a pyramid
  798.    wt: 1:   Volume of Solid by Cross Sections Lesson
  799.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  800.    wt: 1:   Example 4 with x function of y
  801.    wt: 1:   Example 1
  802.    wt: 1:   Area Between Curves Lesson Take 1
  803.    wt: 1:   Summary
  804.    wt: 1:   2 Indefinite Integrals Exercises
  805.    wt: 1:   1 Chain Rule in Reverse Integration Method
  806.    wt: 1:   2 Second derivative test prequel
  807.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  808.    wt: 1:   38 Formulas and derivatives for powers and roots
  809.    wt: 1:   36 Cube root derivative animated
  810.    wt: 1:   34 Derivative of exponential function
  811.    wt: 1:   33 Chain Rule Real Player video examples
  812.    wt: 1:   31 Derivatives of inverse functions
  813.    wt: 1:   19 Chain Rule for linear functions
  814.    wt: 1:   18 Chain Rule Introduction
  815.    wt: 1:   17 Derivatives of quotients of sine and cosine
  816.    wt: 1:   15 sine and cosine derivatives 3rd step
  817.    wt: 1:   13 sine and cosine derivatives 1st step
  818.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  819.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  820.    wt: 1:   11 Limits at infinity Three Examples
  821.    wt: 1:   3 Decimal insights for limits continuity convergence
  822.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  823.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  824.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  825.    wt: 1:   F.4 Finite Covering Theorem
  826.    wt: 1:   F.2 Closed Range Theorem
  827.    wt: 1:   E2 Algebraic Properties of Limits
  828.    wt: 1:   D2 Limits of Monotone Sequences
  829.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  830.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  831.    wt: 1:   Chapter 18. Slopes Areas Integration
  832.    wt: 1:   Chapter 17. Area Approximation
  833.    wt: 1:   Chapter 16. Velocity Approximation
  834.    wt: 1:   Chapter 15. Slope Approximation
  835.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  836.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  837.    wt: 1:   Chapter 13. Acceleration
  838.    wt: 1:   Chapter 11. Graphing Slope versus Position
  839.    wt: 1:   Chapter 10 Slopes and Units
  840.    wt: 1:   Chapter 9 About First Courses in Calculus
  841.    wt: 1:   Chapter 8. Slope Interpretation
  842.    wt: 1:   Chapter 7 Slopes and Velocity
  843.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  844.    wt: 1:   Chapter 5. Slope Sign Tests
  845.    wt: 1:   Chapter 4. More Slope Sign Analysis
  846.    wt: 1:   Chapter 3. Slope Sign Analysis
  847.    wt: 1:   Chapter 1.Introduction
  848.    wt: 1:   Fall 1983 Calculus Appetizer
  849.    wt: 1:   Postscript More on Better Performance
  850.    wt: 1:   Postscript For Better Performance
  851.    wt: 1:   Appendix D. What to do in School and Why
  852.    wt: 1:   Appendix C. How to Read
  853.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  854.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  855.    wt: 1:   Postscript What is a Variable
  856.    wt: 1:   Solutions For Arithmetic Exercises
  857.    wt: 1:   Foreword
  858.    wt: 1:   Foreword
  859.    wt: 1:   R Why Learn Mathematics Skills
  860.    wt: 1:   O On Learning Mathematics and Science
  861.    wt: 1:   N Mathematics Prepare for College Studies
  862.    wt: 1:   L Skills with take home value
  863.    wt: 1:   B. Domino effect of errors
  864.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  865.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  866.    wt: 1:   7 Games and Activities for Instruction
  867.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  868.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  869.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  870.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  871.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  872.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  873.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  874.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  875.    wt: 1:   Implementation Notes
  876.    wt: 1:   More Algebra and Slope based Calculus Preview
  877.    wt: 1:   Systematic Algebra Skill Development Missing Links
  878.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  879.    wt: 1:   Which Way To Go
  880.    wt: 10:   Skills Chapter 2 Geometry
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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