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 Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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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  1.    wt: 3:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 3:   Mathematics Education Essays/
  4.    wt: 3:   9 Proportionality Backwards and Forwards/
  5.    wt: 3:   8 Unifying Theme For Algebra/
  6.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  7.    wt: 3:   2 Formula Forward Use Evaluation/
  8.    wt: 2:   Parent Center/
  9.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  10.    wt: 2:   10 Examples of Algebraic Reasoning/
  11.    wt: 2:   9 Combinatorics Trees Tables and Products/
  12.    wt: 2:   Volume 2 Three Skills For Algebra/
  13.    wt: 2:   Mathematics Skill Development Framework/
  14.    wt: 1:   Archives/
  15.    wt: 1:   Direct Current Electric Circuits/
  16.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  17.    wt: 1:   4 Functions/
  18.    wt: 1:   3 Quadratics Geometrically/
  19.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  20.    wt: 1:   1 Five Polynomial Operations/
  21.    wt: 1:   More Algebra/
  22.    wt: 1:   B Real Numbers Extrinsic Development/
  23.    wt: 1:   A Origins of Counting and Figuring Methods/
  24.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  25.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  26.    wt: 1:   5 Real Numbers/
  27.    wt: 1:   4 Computation Rules and Function Notation/
  28.    wt: 1:   Step 4 Gaussian Elimination/
  29.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  30.    wt: 1:   Step 1 Stick diagram and fractions/
  31.    wt: 1:   3 Solving Linear Equations/
  32.    wt: 1:   1 Working With Sets/
  33.    wt: 1:   Algebra Starter Lessons/
  34.    wt: 1:   Work and Study Tips/

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266 matches:

  1.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  2.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  3.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  4.    wt: 2:   Applied Maths Program14092009 POMME variant
  5.    wt: 2:   geometric implications for algebra
  6.    wt: 2:   formal or informal peer review
  7.    wt: 2:   Prequel In For A Penny In For A Pound
  8.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 2:   5 Function notation for geometric transformations
  10.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  11.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  12.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  13.    wt: 2:   9 motivation for name arcsin
  14.    wt: 2:   29 secant cosecant and cotangent for acute angles
  15.    wt: 2:   26 Formulas for products of sines and cosines
  16.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  17.    wt: 2:   17E Trig Formulas for dot and cross Products
  18.    wt: 2:   17D cis formulas for sine cosines and tangent
  19.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  20.    wt: 2:   13 Trig Formulas for dot and cross Products
  21.    wt: 2:   12 cis formulas for sine cosines and tangent
  22.    wt: 2:   4 Equations for lines three forms
  23.    wt: 2:   9 Coordinates for Regions in Space
  24.    wt: 2:   Formula Usage Show Work Format
  25.    wt: 2:   1 Written work formats for developing and showing skill
  26.    wt: 2:   1 Three Skills For Algebra
  27.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  28.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  29.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  30.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  31.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  32.    wt: 2:   9 video Prime Factorization upto 19 squared
  33.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  34.    wt: 2:   38 Formulas and derivatives for powers and roots
  35.    wt: 2:   19 Chain Rule for linear functions
  36.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  37.    wt: 2:   Postscript For Better Performance
  38.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  39.    wt: 2:   Chapter 18. Rules for Algebra
  40.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  41.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  42.    wt: 2:   Chapter 8 Three Skills For Algebra
  43.    wt: 2:   G. Written work formats for developing and showing skill
  44.    wt: 1:   Ramblings Introduction Algebra Essay
  45.    wt: 1:   Skills Chapter 3 Algebra
  46.    wt: 1:   9 combinatorics probability sets
  47.    wt: 1:   4 algebra
  48.    wt: 1:   three goals to set for students
  49.    wt: 1:   permissions for teachers
  50.    wt: 1:   activities for students
  51.    wt: 1:   Education Reform Inconsistencies
  52.    wt: 1:   talk the algebra talk
  53.    wt: 1:   teaching tutoring algebraic reason
  54.    wt: 1:   Lessening Algebra Difficulties
  55.    wt: 1:   the trouble with algebra
  56.    wt: 1:   three goals for Mathematics Education
  57.    wt: 1:   04 29 New Mathematics Curriculum
  58.    wt: 1:   02 21 words for teachers
  59.    wt: 1:   three aims for mathematics students
  60.    wt: 1:   standards for course material
  61.    wt: 1:   Four ways to improve education reform
  62.    wt: 1:   need for a mixed mathematics curriculum
  63.    wt: 1:   fairness and inductive principles for instruction
  64.    wt: 1:   words for mathematics instructor
  65.    wt: 1:   chapitre 04 09 Regles accidentelles
  66.    wt: 1:   4 Energy Power Heat09
  67.    wt: 1:   C Electromotive force conventional current02
  68.    wt: 1:   B Electromotive force conventional current01
  69.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  70.    wt: 1:   24 Standards For Skill Develoment Take II
  71.    wt: 1:   24 Standards For Skill Develoment
  72.    wt: 1:   22 Student Centered Highschool Mathematics
  73.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  74.    wt: 1:   17 Math Booklets for children and young teenagers
  75.    wt: 1:   15 Counting For Parents
  76.    wt: 1:   12 Goals and Objectives For Mathematics
  77.    wt: 1:   10 Ends values for work study instruction
  78.    wt: 1:   9 Streaming by Student Cooperation
  79.    wt: 1:   5 Patience Please for Yourself and Your Charges
  80.    wt: 1:   4 Learning Takes Time and Effort
  81.    wt: 1:   3 Preparing for Science Studies
  82.    wt: 1:   Ages 9 to 10
  83.    wt: 1:   Ages 8 to 9
  84.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  85.    wt: 1:   19 Horizontal line rule and method
  86.    wt: 1:   9 Set theory term relation possible origins
  87.    wt: 1:   6 Set Existence Formation and Notation
  88.    wt: 1:   3 Formula or function graphing exercise
  89.    wt: 1:   2 Algebraic use of function notation
  90.    wt: 1:   Introduction Reading Guide
  91.    wt: 1:   9 quadratics physical and further context
  92.    wt: 1:   8 quadratics backward use of various formulas
  93.    wt: 1:   7 quadratic formulla derivation
  94.    wt: 1:   8 Notes for instructors or tutors
  95.    wt: 1:   Rewriting algebraic substitution as function substitutions
  96.    wt: 1:   12 motivation for term arctan
  97.    wt: 1:   4 possible motivation for term arccos
  98.    wt: 1:   9 Summary Degrees to Radians and back
  99.    wt: 1:   9 Head to Tail Coordinate View
  100.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  101.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  102.    wt: 1:   9 Straight Lines through Origin Equations
  103.    wt: 1:   8 Straight Lines Equation for vertical
  104.    wt: 1:   17 tangent function angle sum formulas
  105.    wt: 1:   25 tangent double angle formula Slope connection
  106.    wt: 1:   24 tangent Angle Difference Formula
  107.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  108.    wt: 1:   21 sine and cosine Half Angle Formulas
  109.    wt: 1:   20 sine and cosine Double Angle Formulas
  110.    wt: 1:   17C sine and cosine double triple angle formulas
  111.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  112.    wt: 1:   12 Graph of tangent function for one period
  113.    wt: 1:   9 Graphs of sine and cosine over one period
  114.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  115.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  116.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  117.    wt: 1:   19 N th Roots of Unity
  118.    wt: 1:   11 sine and cosine double triple angle formulas
  119.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  120.    wt: 1:   9 The complex number valued trig function cis
  121.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  122.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  123.    wt: 1:   9 Similarity of Triangles Usual Criteria
  124.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  125.    wt: 1:   8 Mid Point Formula
  126.    wt: 1:   5 Algebraic View of Slopes
  127.    wt: 1:   3 Slope product for perpendicular lines
  128.    wt: 1:   2 point slope equation for a line
  129.    wt: 1:   13 Pythagorean spatial distance formulas
  130.    wt: 1:   10 Pythagorean plane distance formula
  131.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  132.    wt: 1:   PS H Distributive Law For Complex Numbers
  133.    wt: 1:   19 Right Triangle Similarity
  134.    wt: 1:   9 Construction of a right bisector
  135.    wt: 1:   19 Signed Multiples of Vectors
  136.    wt: 1:   9 Division with Digits after Decimal Point
  137.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  138.    wt: 1:   6 Column Methods for Decimal Multiplication
  139.    wt: 1:   5 Distributive Law for Whole Numbers
  140.    wt: 1:   4 Commutative Law Groups Counting Form
  141.    wt: 1:   3 Inequalities Algebraically
  142.    wt: 1:   2 Algebraic View
  143.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  144.    wt: 1:   6 Compound Interest Forward and Backwards
  145.    wt: 1:   5 Triangle Area Formula Backwards
  146.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  147.    wt: 1:   5 Equality in Algebra
  148.    wt: 1:   3 Product Axioms Two Forms
  149.    wt: 1:   2 More and Less Than for Counts and Measures
  150.    wt: 1:   8 Coordinates for Maps and Planes
  151.    wt: 1:   3 Geometric Formulas and Function Notation
  152.    wt: 1:   1 Formulas Dependence and Function Notation
  153.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  154.    wt: 1:   6 Algebraic Solution Example
  155.    wt: 1:   5 Algebraic Solutions Introduction
  156.    wt: 1:   9 Three Examples
  157.    wt: 1:   Using Letters for Physical Quantities
  158.    wt: 1:   13 Naming Identifying Formulas with Words
  159.    wt: 1:   9 Volume of Cone
  160.    wt: 1:   8 Compound Interest Formula Evaluation
  161.    wt: 1:   7 Compound Interest Formula Introduction
  162.    wt: 1:   5 Box Volume Formula Example
  163.    wt: 1:   4 Circle Area Formula Example
  164.    wt: 1:   3 Triangle Area Formula Example
  165.    wt: 1:   2 Another Rectangle Area Formula Example
  166.    wt: 1:   9 Sets in Probability and Statistics
  167.    wt: 1:   4 A Brief Story of numbers and algebra
  168.    wt: 1:   arithmetic videos Real Player Format
  169.    wt: 1:   1 More and Less Than for Counts and Measures
  170.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  171.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  172.    wt: 1:   9 subtracting signed numbers
  173.    wt: 1:   4 signed coordinates for regions in space
  174.    wt: 1:   3 signed coordinates for maps and planes
  175.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  176.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  177.    wt: 1:   21 Reciprocals for Fractions and Wholes
  178.    wt: 1:   19 Dividing Fractions How TO
  179.    wt: 1:   13 Fraction Comparison Algebraic View
  180.    wt: 1:   11 Simplification an Algebraic View
  181.    wt: 1:   9 Improper Fractions and Mixed Numbers
  182.    wt: 1:   6 Multiplication Algebraically Take II
  183.    wt: 1:   11 Adding Integers Formulas and Examples
  184.    wt: 1:   10 Integer Multiplication Formulas
  185.    wt: 1:   9 Multiplying Integers
  186.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  187.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  188.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  189.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  190.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  191.    wt: 1:   19 video Prime Factorization Unique
  192.    wt: 1:   16 video Factors of 980 using prime
  193.    wt: 1:   8 video Prime Factorization upto 19
  194.    wt: 1:   3 video Primes and Composites from 9 times table
  195.    wt: 1:   Long Division forwards and backwards Example 3
  196.    wt: 1:   Long Division forwards and backwards Example 2
  197.    wt: 1:   Long Division forwards and backwards Example 1
  198.    wt: 1:   9 Why Long Division Works Take II
  199.    wt: 1:   A Elementary Basis for Multiplication Methods
  200.    wt: 1:   9 22 Minute Subtraction Review Video
  201.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  202.    wt: 1:   5 A Tip for Efficent Subtraction
  203.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  204.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  205.    wt: 1:   Quick history of numbers and algebra
  206.    wt: 1:   Formula Evaluation how to show work
  207.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  208.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  209.    wt: 1:   29 Chain Rule Optional Reading
  210.    wt: 1:   28 Chain Rule Preparation for a Proof
  211.    wt: 1:   22 Chain Rule for polynomials
  212.    wt: 1:   21 Chain Rule for powers
  213.    wt: 1:   20 Chain Rule for Pulley Systems
  214.    wt: 1:   10 Power rule for negative integers
  215.    wt: 1:   9 Reciprocal rule
  216.    wt: 1:   3 Motivation for Limit Definition Take 2
  217.    wt: 1:   2 Motivation for Limit Definition Take 1
  218.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  219.    wt: 1:   9 Limits Continuity and Composition
  220.    wt: 1:   3 Decimal insights for limits continuity convergence
  221.    wt: 1:   2 Algebraic codification
  222.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  223.    wt: 1:   E2 Algebraic Properties of Limits
  224.    wt: 1:   PostScript For and Against Decimal Perspectives
  225.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  226.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  227.    wt: 1:   Chapter 9 About First Courses in Calculus
  228.    wt: 1:   Fall 1983 Calculus Appetizer
  229.    wt: 1:   Foreword
  230.    wt: 1:   Postscript More on Better Performance
  231.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  232.    wt: 1:   Chapter 23. Notation For Sums
  233.    wt: 1:   Chapter 21. Third Reading Guide
  234.    wt: 1:   Chapter 19. Functions and Sets
  235.    wt: 1:   Chapter 13. Second Reading Guide
  236.    wt: 1:   Chapter 12. Shorthand Usage Guide
  237.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  238.    wt: 1:   Solutions For Arithmetic Exercises
  239.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  240.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  241.    wt: 1:   Foreword
  242.    wt: 1:   Chapter 9 The Two Ends
  243.    wt: 1:   Chapter 3 Algebra Difficulties
  244.    wt: 1:   Chapter 2 For and Against Mathematics
  245.    wt: 1:   Foreword
  246.    wt: 1:   Postscript C Consistency as a Tool for Reason
  247.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  248.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  249.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  250.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  251.    wt: 1:   Foreword
  252.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  253.    wt: 1:   S Adding words to algebra
  254.    wt: 1:   N Mathematics Prepare for College Studies
  255.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  256.    wt: 1:   Chapter 6 More Algebra and Geometry
  257.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  258.    wt: 1:   Chapter 3 Algebra Starter Lessons
  259.    wt: 1:   7 Games and Activities for Instruction
  260.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  261.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  262.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  263.    wt: 1:   More Algebra and Slope based Calculus Preview
  264.    wt: 1:   Systematic Algebra Skill Development Missing Links
  265.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  266.    wt: 1:   The Math Forum and Site Content

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  1.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  2.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  3.    wt: 5:   9 combinatorics probability sets
  4.    wt: 5:   Applied Maths Program14092009 POMME variant
  5.    wt: 5:   geometric implications for algebra
  6.    wt: 5:   formal or informal peer review
  7.    wt: 5:   Prequel In For A Penny In For A Pound
  8.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  9.    wt: 5:   musings do not puiblish real numbers
  10.    wt: 5:   1 Written work formats for developing and showing skill
  11.    wt: 5:   arithmetic videos Real Player Format
  12.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  13.    wt: 4:   Appendix 2 primary school Arithmetic 01
  14.    wt: 4:   Appendix 1 primary and preschool mathematic
  15.    wt: 4:   Ramblings Introduction Algebra Essay
  16.    wt: 4:   Skills Chapter 3 Algebra
  17.    wt: 4:   4 algebra
  18.    wt: 4:   three goals to set for students
  19.    wt: 4:   permissions for teachers
  20.    wt: 4:   activities for students
  21.    wt: 4:   mathematics in context
  22.    wt: 4:   Education Reform Inconsistencies
  23.    wt: 4:   Secondary One Mathematics
  24.    wt: 4:   talk the algebra talk
  25.    wt: 4:   teaching tutoring algebraic reason
  26.    wt: 4:   Lessening Algebra Difficulties
  27.    wt: 4:   the trouble with algebra
  28.    wt: 4:   three goals for Mathematics Education
  29.    wt: 4:   04 29 New Mathematics Curriculum
  30.    wt: 4:   02 21 words for teachers
  31.    wt: 4:   three aims for mathematics students
  32.    wt: 4:   standards for course material
  33.    wt: 4:   Four ways to improve education reform
  34.    wt: 4:   How to be a better instructor
  35.    wt: 4:   need for a mixed mathematics curriculum
  36.    wt: 4:   fairness and inductive principles for instruction
  37.    wt: 4:   words for mathematics instructor
  38.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  39.    wt: 4:   9 Streaming by Student Cooperation
  40.    wt: 4:   8 Straight Lines Equation for vertical
  41.    wt: 4:   2 Algebraic View
  42.    wt: 4:   8 Pythagorean Relation Forwards Backwards
  43.    wt: 4:   6 Compound Interest Forward and Backwards
  44.    wt: 4:   5 Triangle Area Formula Backwards
  45.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  46.    wt: 4:   6 Algebraic Solution Example
  47.    wt: 4:   5 Algebraic Solutions Introduction
  48.    wt: 4:   13 Naming Identifying Formulas with Words
  49.    wt: 4:   9 Volume of Cone
  50.    wt: 4:   8 Compound Interest Formula Evaluation
  51.    wt: 4:   7 Compound Interest Formula Introduction
  52.    wt: 4:   5 Box Volume Formula Example
  53.    wt: 4:   4 Circle Area Formula Example
  54.    wt: 4:   3 Triangle Area Formula Example
  55.    wt: 4:   2 Another Rectangle Area Formula Example
  56.    wt: 4:   A Related lessons in Volume 3
  57.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  58.    wt: 4:   Postscript For Better Performance
  59.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  60.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  61.    wt: 4:   Chapter 19. Functions and Sets
  62.    wt: 4:   Chapter 18. Rules for Algebra
  63.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  64.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  65.    wt: 4:   Chapter 8 Three Skills For Algebra
  66.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  67.    wt: 3:   K LAMP Musings Science Education
  68.    wt: 3:   J LAMP Introduction Extrinsic Origins
  69.    wt: 3:   I LAMP Introduction Study Habits
  70.    wt: 3:   H LAMP Introduction Instructional Concepts
  71.    wt: 3:   G LAMP Introduction Problem Solving Skills
  72.    wt: 3:   F LAMP Introduction Prerequisites
  73.    wt: 3:   E LAMP Introduction Modern Mathematics
  74.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  75.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  76.    wt: 3:   A Introduction Objectives
  77.    wt: 3:   Skills Chapter 5 Calculus
  78.    wt: 3:   Skills Chapter 4 Logic
  79.    wt: 3:   Ramblings Extrinsic numbers theory
  80.    wt: 3:   Skills Chapter 2 Geometry
  81.    wt: 3:   Skills Chapter 1 Arithmetic
  82.    wt: 3:   Skills Chapter 0 Introduction
  83.    wt: 3:   11 pure mathematics
  84.    wt: 3:   10 statistics
  85.    wt: 3:   8 analytic geometry etc
  86.    wt: 3:   7 logic review and decimals an odd combination
  87.    wt: 3:   6 polynomials etc
  88.    wt: 3:   5 logarithms and exponentials etc
  89.    wt: 3:   3 Euclidean Geometry Leanly
  90.    wt: 3:   2 arithmetic with signed numbers
  91.    wt: 3:   1 arithmetic with unsigned numbers
  92.    wt: 3:   What is POMME
  93.    wt: 3:   why bother
  94.    wt: 3:   which way to go
  95.    wt: 3:   website reviews
  96.    wt: 3:   Teach the teachers plus goals
  97.    wt: 3:   Math Ed if it must be short make it lean effective
  98.    wt: 3:   links Education Resources online
  99.    wt: 3:   site origins
  100.    wt: 3:   site eurekas
  101.    wt: 3:   About site lesson plans
  102.    wt: 3:   key notes and themes
  103.    wt: 3:   Mathematics Education Professors
  104.    wt: 3:   teacher certification
  105.    wt: 3:   modern education
  106.    wt: 3:   learning takes time
  107.    wt: 3:   grouping students according to ability
  108.    wt: 3:   what should be learnt and When
  109.    wt: 3:   Postscript 2007 01 10
  110.    wt: 3:   five decades make a difference
  111.    wt: 3:   Maps Plans Drawings
  112.    wt: 3:   how letters appear
  113.    wt: 3:   Secondary Three Mathematics
  114.    wt: 3:   Secondary Two Mathematics
  115.    wt: 3:   three difficulties
  116.    wt: 3:   teaching tips
  117.    wt: 3:   What to Tell Students
  118.    wt: 3:   mathematics curriculum shifts
  119.    wt: 3:   05 13 OldSiteEntrancePage
  120.    wt: 3:   04 25 when to stop or suspend mathemat
  121.    wt: 3:   02 20 mathematics education references
  122.    wt: 3:   Operational Viewpoint to Value
  123.    wt: 3:   Theory of Knowledge
  124.    wt: 3:   mathematics instruction in general
  125.    wt: 3:   Education in mathematics science and technology
  126.    wt: 3:   Different Kinds of Reasoning in maths
  127.    wt: 3:   three kinds of reason in mathematics
  128.    wt: 3:   cultivating intelligence
  129.    wt: 3:   Motivation and Context Problem
  130.    wt: 3:   Leaner mathematics curriculum
  131.    wt: 3:   education an empirical art
  132.    wt: 3:   4 Energy Power Heat09
  133.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  134.    wt: 3:   24 Standards For Skill Develoment Take II
  135.    wt: 3:   24 Standards For Skill Develoment
  136.    wt: 3:   22 Student Centered Highschool Mathematics
  137.    wt: 3:   17 Math Booklets for children and young teenagers
  138.    wt: 3:   15 Counting For Parents
  139.    wt: 3:   12 Goals and Objectives For Mathematics
  140.    wt: 3:   10 Ends values for work study instruction
  141.    wt: 3:   5 Patience Please for Yourself and Your Charges
  142.    wt: 3:   4 Learning Takes Time and Effort
  143.    wt: 3:   3 Preparing for Science Studies
  144.    wt: 3:   19 Horizontal line rule and method
  145.    wt: 3:   9 Set theory term relation possible origins
  146.    wt: 3:   5 Function notation for geometric transformations
  147.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  148.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  149.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  150.    wt: 3:   9 Straight Lines through Origin Equations
  151.    wt: 3:   1 Straight Lines Slope Concept
  152.    wt: 3:   3 Inequalities Algebraically
  153.    wt: 3:   5 Proportionality in Equivalent Fractions
  154.    wt: 3:   4 Rates Ratios and Proporitionality
  155.    wt: 3:   3 Proportionality Examples
  156.    wt: 3:   1 What is Proportionality
  157.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  158.    wt: 3:   3 Linear Equation Literal Solution More
  159.    wt: 3:   2 Linear Equation Literal Solution
  160.    wt: 3:   1 Changing Calculations
  161.    wt: 3:   9 Coordinates for Regions in Space
  162.    wt: 3:   Simple Exercises
  163.    wt: 3:   4 Four Examples Fractional Coefficients
  164.    wt: 3:   3 Four Examples
  165.    wt: 3:   2 Three Examples
  166.    wt: 3:   1 Proper Equal Sign Usage
  167.    wt: 3:   9 Three Examples
  168.    wt: 3:   Formula Usage Show Work Format
  169.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  170.    wt: 3:   11 Volume of Sphere
  171.    wt: 3:   10 Volume of Pyramid
  172.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  173.    wt: 3:   1 Three Skills For Algebra
  174.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  175.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  176.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  177.    wt: 3:   9 video Prime Factorization upto 19 squared
  178.    wt: 3:   38 Formulas and derivatives for powers and roots
  179.    wt: 3:   Postscript More on Better Performance
  180.    wt: 3:   Chapter 23. Notation For Sums
  181.    wt: 3:   Chapter 21. Third Reading Guide
  182.    wt: 3:   Chapter 13. Second Reading Guide
  183.    wt: 3:   Chapter 12. Shorthand Usage Guide
  184.    wt: 3:   Postscript What is a Variable
  185.    wt: 3:   Solutions For Arithmetic Exercises
  186.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  187.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  188.    wt: 3:   Foreword
  189.    wt: 3:   S Adding words to algebra
  190.    wt: 3:   G. Written work formats for developing and showing skill
  191.    wt: 3:   Helping the Blind in Logic and Mathematics
  192.    wt: 3:   Mathematics Education References
  193.    wt: 3:   Mathematics Education References
  194.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  195.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  196.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  197.    wt: 3:   More Algebra and Slope based Calculus Preview
  198.    wt: 3:   Systematic Algebra Skill Development Missing Links
  199.    wt: 2:   1 Conductance Resistance Duality01
  200.    wt: 2:   H Series Circuit02
  201.    wt: 2:   C Electromotive force conventional current02
  202.    wt: 2:   B Electromotive force conventional current01
  203.    wt: 2:   Home Tutoring and Home Schooling
  204.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  205.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  206.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  207.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  208.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  209.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  210.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  211.    wt: 2:   18 Primary School Mathematics
  212.    wt: 2:   16 Secondary Mathematics Tips
  213.    wt: 2:   14 Multiplication and Times Tables
  214.    wt: 2:   13 Addition and Addition Tables
  215.    wt: 2:   11 Help and Defend Your Child or Teens Education
  216.    wt: 2:   8 The Effect of Negative Remarks
  217.    wt: 2:   7 Student Motivation
  218.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  219.    wt: 2:   2 Reading and Writing Skills
  220.    wt: 2:   1 Speaking Skills
  221.    wt: 2:   Ages 9 to 10
  222.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  223.    wt: 2:   sign monoticity analysis example 4
  224.    wt: 2:   sign monoticity analysis example 3
  225.    wt: 2:   sign monoticity analysis example 2
  226.    wt: 2:   sign monoticity analysis example 1
  227.    wt: 2:   6 Set Existence Formation and Notation
  228.    wt: 2:   3 Formula or function graphing exercise
  229.    wt: 2:   2 Algebraic use of function notation
  230.    wt: 2:   Introduction Reading Guide
  231.    wt: 2:   9 quadratics physical and further context
  232.    wt: 2:   8 quadratics backward use of various formulas
  233.    wt: 2:   7 quadratic formulla derivation
  234.    wt: 2:   8 Notes for instructors or tutors
  235.    wt: 2:   Rewriting algebraic substitution as function substitutions
  236.    wt: 2:   9 motivation for name arcsin
  237.    wt: 2:   8 Radian Measures of Common Angles
  238.    wt: 2:   9 Head to Tail Coordinate View
  239.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  240.    wt: 2:   C Straight Lines Slope from Coordinates
  241.    wt: 2:   B Straight Line Slope Scaling Properties More
  242.    wt: 2:   A Straight Line Slope Scaling Properties
  243.    wt: 2:   14 Straight Lines Equations General Case
  244.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  245.    wt: 2:   12 Straight Lines Graphing mx plus b
  246.    wt: 2:   11 Straight Lines Graphing y=mx
  247.    wt: 2:   10 Straight Lines through Origin Equations More
  248.    wt: 2:   7 Tangent Function is odd on this domain
  249.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  250.    wt: 2:   5 Tangent Function Graph
  251.    wt: 2:   4 Tangent Function Properties
  252.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  253.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  254.    wt: 2:   29 secant cosecant and cotangent for acute angles
  255.    wt: 2:   26 Formulas for products of sines and cosines
  256.    wt: 2:   20 sine and cosine Double Angle Formulas
  257.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  258.    wt: 2:   17E Trig Formulas for dot and cross Products
  259.    wt: 2:   17D cis formulas for sine cosines and tangent
  260.    wt: 2:   12 Graph of tangent function for one period
  261.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  262.    wt: 2:   2 Quadrant I reference Angles
  263.    wt: 2:   1 Unit Points Reflections Rotations
  264.    wt: 2:   19 N th Roots of Unity
  265.    wt: 2:   13 Trig Formulas for dot and cross Products
  266.    wt: 2:   12 cis formulas for sine cosines and tangent
  267.    wt: 2:   9 The complex number valued trig function cis
  268.    wt: 2:   9 Similarity of Triangles Usual Criteria
  269.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  270.    wt: 2:   4 Equations for lines three forms
  271.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  272.    wt: 2:   19 Right Triangle Similarity
  273.    wt: 2:   9 Construction of a right bisector
  274.    wt: 2:   A Signed Number Arithmetic Review
  275.    wt: 2:   19 Signed Multiples of Vectors
  276.    wt: 2:   9 Division with Digits after Decimal Point
  277.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  278.    wt: 2:   E Long Division Methods more
  279.    wt: 2:   D Long Division Methods
  280.    wt: 2:   C Three Decimal Subtraction Methods
  281.    wt: 2:   B Decimal Comparison and Subtraction
  282.    wt: 2:   A Decimal Addition Columm Methods
  283.    wt: 2:   6 Column Methods for Decimal Multiplication
  284.    wt: 2:   5 Distributive Law for Whole Numbers
  285.    wt: 2:   4 Commutative Law Groups Counting Form
  286.    wt: 2:   5 Areas of Rectangles Revisited
  287.    wt: 2:   4 Fraction Operations Axiomatic Development
  288.    wt: 2:   2 Fraction Operations Physical Development
  289.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  290.    wt: 2:   5 Equality in Algebra
  291.    wt: 2:   3 Product Axioms Two Forms
  292.    wt: 2:   2 More and Less Than for Counts and Measures
  293.    wt: 2:   8 Coordinates for Maps and Planes
  294.    wt: 2:   3 Geometric Formulas and Function Notation
  295.    wt: 2:   1 Formulas Dependence and Function Notation
  296.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  297.    wt: 2:   Using Letters for Physical Quantities
  298.    wt: 2:   9 Sets in Probability and Statistics
  299.    wt: 2:   4 A Brief Story of numbers and algebra
  300.    wt: 2:   4 Counting with Trees Product Rule Take I
  301.    wt: 2:   3 Counting with Tables and Trees II
  302.    wt: 2:   2 Counting with Tables and Trees I
  303.    wt: 2:   1 Counting and Counting Methods I
  304.    wt: 2:   9 subtracting signed numbers
  305.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  306.    wt: 2:   9 Multiplying Integers
  307.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  308.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  309.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  310.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  311.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  312.    wt: 2:   19 video Prime Factorization Unique
  313.    wt: 2:   Long Division forwards and backwards Example 1
  314.    wt: 2:   9 Why Long Division Works Take II
  315.    wt: 2:   9 22 Minute Subtraction Review Video
  316.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  317.    wt: 2:   19 Chain Rule for linear functions
  318.    wt: 2:   2 Motivation for Limit Definition Take 1
  319.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  320.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  321.    wt: 2:   Chapter 9 About First Courses in Calculus
  322.    wt: 2:   Appendix E. How To Study Mathematics and Why
  323.    wt: 2:   Appendix D. What to do in School and Why
  324.    wt: 2:   Appendix C. How to Read
  325.    wt: 2:   Appendix B. How To Learn
  326.    wt: 2:   Chapter 31 Direct and Indirect Reason
  327.    wt: 2:   Chapter 30 Truth Tables
  328.    wt: 2:   Chapter 28 Occurrence Tables
  329.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  330.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  331.    wt: 2:   Chapter 25. Mathematical Induction Examples
  332.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  333.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  334.    wt: 2:   Chapter 20. Degrees and Radians
  335.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  336.    wt: 2:   Chapter 16. Painless Theorem Proving
  337.    wt: 2:   Chapter 15. Solving Linear Equations
  338.    wt: 2:   Chapter 11. Why Shorthand
  339.    wt: 2:   Chapter 10 Describing and Changing Calculations
  340.    wt: 2:   Chapter 6 Change of Language
  341.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  342.    wt: 2:   Chapter 4 Longer Chains of Reason
  343.    wt: 2:   Chapter 3 Chains of Reason
  344.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  345.    wt: 2:   Chapter 9 The Two Ends
  346.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  347.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  348.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  349.    wt: 2:   N Mathematics Prepare for College Studies
  350.    wt: 2:   I. Logic and language skills
  351.    wt: 2:   Implementation Notes
  352.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  353.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  354.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  355.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  356.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  357.    wt: 2:   Which Way To Go
  358.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  359.    wt: 1:   chapitre 04 09 Regles accidentelles
  360.    wt: 1:   3 Energy Power Heat08
  361.    wt: 1:   2 Energy Power Heat07
  362.    wt: 1:   1 Energy Power Heat06
  363.    wt: 1:   E Energy Power05
  364.    wt: 1:   D Energy Power04
  365.    wt: 1:   C Energy Power03
  366.    wt: 1:   B Energy Power02
  367.    wt: 1:   A Energy Power01
  368.    wt: 1:   2 Conductance Resistance Duality02
  369.    wt: 1:   F Wire Resistance Calculation04
  370.    wt: 1:   E Wire Resistance Calculation03
  371.    wt: 1:   D Wire Resistance Calculation02
  372.    wt: 1:   C Wire Resistance Calculation01
  373.    wt: 1:   B Wire Resistance Qualitative02
  374.    wt: 1:   A Wire Resistance Qualitative01
  375.    wt: 1:   3 Like resistors in parallel
  376.    wt: 1:   2 Unlike resistors in parallel01
  377.    wt: 1:   1 Like resistors in series
  378.    wt: 1:   G Series Circuit01
  379.    wt: 1:   F Unlike Resistors in Series
  380.    wt: 1:   E Kirchoffs Second Law
  381.    wt: 1:   D Kirchoff First Law
  382.    wt: 1:   A Circuit Elements
  383.    wt: 1:   Ages 8 to 9
  384.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  385.    wt: 1:   26 Function definitions done and coming
  386.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  387.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  388.    wt: 1:   23 Inverse Functions
  389.    wt: 1:   22 Square Root function graphically
  390.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  391.    wt: 1:   20 Interchanging coordinates a reflection
  392.    wt: 1:   18 Vertical Line Rule and Method
  393.    wt: 1:   17 Function maxima minima and their location
  394.    wt: 1:   16 Increasing or decreasing on intervals
  395.    wt: 1:   15 Sign analysis of functions
  396.    wt: 1:   14 Surjections Injections Bijections
  397.    wt: 1:   13 From one to one to many to one
  398.    wt: 1:   12 Function Domain Recognition Exercises
  399.    wt: 1:   11 Function Domain Range Source and Targets
  400.    wt: 1:   10 Interval Notation
  401.    wt: 1:   8 Set view of relations and functions
  402.    wt: 1:   7 Functions with finite domains
  403.    wt: 1:   4 Function notation in and beyond mathematics
  404.    wt: 1:   1 Geometric Introduction of Function Notation
  405.    wt: 1:   A Quadratics Summary
  406.    wt: 1:   10 quadratic exercises
  407.    wt: 1:   6 quadratics numerical approach
  408.    wt: 1:   5 quadratics completing the square
  409.    wt: 1:   4 quadratics difference of two squares
  410.    wt: 1:   3 quadratics factoring by inspection
  411.    wt: 1:   2 quadratics graphing in general
  412.    wt: 1:   1 quadratics graphing exercises
  413.    wt: 1:   Quadratics in 10 steps
  414.    wt: 1:   11 Growth and Decay in Biology
  415.    wt: 1:   10 Exponential Growth and Decay Models
  416.    wt: 1:   5 Natural Logarithm Calculator Exercises
  417.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  418.    wt: 1:   2 Square Root Simplification a prequel
  419.    wt: 1:   1 Calculator Starter Exercises
  420.    wt: 1:   7 Links Lessons Elsewhere
  421.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  422.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  423.    wt: 1:   4 Polynomials Long division linear divisor
  424.    wt: 1:   3 Polynomials Multiplication Addition
  425.    wt: 1:   2 Column Multiplication Method
  426.    wt: 1:   1 Polynomials Distributive Law
  427.    wt: 1:   12 motivation for term arctan
  428.    wt: 1:   4 possible motivation for term arccos
  429.    wt: 1:   9 Summary Degrees to Radians and back
  430.    wt: 1:   7 Radian Measures in special Triangles
  431.    wt: 1:   6 Radian Measure to Degrees
  432.    wt: 1:   5 Degrees to Radian Measure
  433.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  434.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  435.    wt: 1:   2 Radian Measure Numerical Value of one degree
  436.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  437.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  438.    wt: 1:   Straight Lines Intersection of
  439.    wt: 1:   17 tangent function angle sum formulas
  440.    wt: 1:   30 unit circle calculation of six trigonometric functions
  441.    wt: 1:   25 tangent double angle formula Slope connection
  442.    wt: 1:   24 tangent Angle Difference Formula
  443.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  444.    wt: 1:   21 sine and cosine Half Angle Formulas
  445.    wt: 1:   17C sine and cosine double triple angle formulas
  446.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  447.    wt: 1:   9 Graphs of sine and cosine over one period
  448.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  449.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  450.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  451.    wt: 1:   11 sine and cosine double triple angle formulas
  452.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  453.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  454.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  455.    wt: 1:   1 Early Concept of Like or Similar Shapes
  456.    wt: 1:   8 Mid Point Formula
  457.    wt: 1:   5 Algebraic View of Slopes
  458.    wt: 1:   3 Slope product for perpendicular lines
  459.    wt: 1:   2 point slope equation for a line
  460.    wt: 1:   13 Pythagorean spatial distance formulas
  461.    wt: 1:   10 Pythagorean plane distance formula
  462.    wt: 1:   PS H Distributive Law For Complex Numbers
  463.    wt: 1:   A Modular and Remainder Arithmetic
  464.    wt: 1:   26 More Less Greater Than Comparison
  465.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  466.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  467.    wt: 1:   23 Distributive Law Two Derivations
  468.    wt: 1:   22 Multiplication of Signed Numbers
  469.    wt: 1:   21 Addition of Multiples of a Single Vector
  470.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  471.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  472.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  473.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  474.    wt: 1:   15 Head to Tails in place Addition Associative
  475.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  476.    wt: 1:   13 Arrows and Vectors in a Plane
  477.    wt: 1:   12 Real Numbers Line Signed Coordinates
  478.    wt: 1:   11 Signed Number Addition and Addition Properties
  479.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  480.    wt: 1:   8 Division and Mulplication of Compound Fractions
  481.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  482.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  483.    wt: 1:   4 Location of Point in Decimal Addition
  484.    wt: 1:   3 Location of Point in Decimal Multiplication
  485.    wt: 1:   2 Counting Digits in Decimal Multiplication
  486.    wt: 1:   1 Fractions with Finite Decimal Expansions
  487.    wt: 1:   8 Column Multiplication Methods in General
  488.    wt: 1:   7 Decimals Multiplication Methods Examples
  489.    wt: 1:   3 Multiplicative Counting Skills Principles
  490.    wt: 1:   2 Combing Counts Addition Skills and Principles
  491.    wt: 1:   1 The Counting Origins of Numbers
  492.    wt: 1:   6 Equations and Systems Equivalent or Implied
  493.    wt: 1:   4 Subtraction and Division Axioms
  494.    wt: 1:   2 Addition and Multiplication Axioms
  495.    wt: 1:   1 Equivalent Computation Rules
  496.    wt: 1:   5 Greater More Less Than Signs in General
  497.    wt: 1:   4 Comparison of Negative Numbers
  498.    wt: 1:   3 More and Less Than with Unlike Signs
  499.    wt: 1:   1 Real Numbers Comparison
  500.    wt: 1:   16 Real Numbers Comparison
  501.    wt: 1:   15 Real Number Division
  502.    wt: 1:   14 Real Number Multiplication
  503.    wt: 1:   13 Real Number Subtraction
  504.    wt: 1:   12 Real Number Additive Inverses or Negatives
  505.    wt: 1:   11 Real Number Addition
  506.    wt: 1:   10 Real Number Lengths and Signs
  507.    wt: 1:   7 Real Numbers as Line Cordinates
  508.    wt: 1:   6 Unsigned Real Numbers
  509.    wt: 1:   5 Rational Numbers More
  510.    wt: 1:   4 Rational Numbers
  511.    wt: 1:   3 Fractions
  512.    wt: 1:   2 Integers
  513.    wt: 1:   1 Whole and Natural Numbers
  514.    wt: 1:   5 Independent versus Dependent Variables
  515.    wt: 1:   4 Changing Letters
  516.    wt: 1:   2 Computation Rules Evaluation
  517.    wt: 1:   More Exercises
  518.    wt: 1:   4 GE III Animated Examples
  519.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  520.    wt: 1:   3 GE III Equation Addition and Multiplication
  521.    wt: 1:   2 GE II Comparison
  522.    wt: 1:   1 GE Substitution four examples
  523.    wt: 1:   4 Solving a triangular system exercise
  524.    wt: 1:   3 Solving triangular system example
  525.    wt: 1:   2 Essentially one exercises three with solution
  526.    wt: 1:   1 Essentially One Unknown
  527.    wt: 1:   Skill Development Notes
  528.    wt: 1:   10 One Example
  529.    wt: 1:   8 One Example
  530.    wt: 1:   7 Two Examples
  531.    wt: 1:   6 Three Examples
  532.    wt: 1:   5 Three Examples
  533.    wt: 1:   4 Two Examples
  534.    wt: 1:   3 Two Examples
  535.    wt: 1:   2 Three Examples
  536.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  537.    wt: 1:   8 Sets of Numbers
  538.    wt: 1:   7 Cautious or Safe Set Construction
  539.    wt: 1:   6 Power Set Notation
  540.    wt: 1:   5 Product Builder Notation
  541.    wt: 1:   4 Subset Builder Notation
  542.    wt: 1:   3 Counting with Sets etc
  543.    wt: 1:   2 Venn Diagrams
  544.    wt: 1:   1 Finite Sets
  545.    wt: 1:   6 Three Notions of What is a Variable
  546.    wt: 1:   5 Talking about Numbers and Quantities
  547.    wt: 1:   3 Adding Words To Arithmetic
  548.    wt: 1:   2 What is a Variable
  549.    wt: 1:   About Folder Contents
  550.    wt: 1:   1 More and Less Than for Counts and Measures
  551.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  552.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  553.    wt: 1:   4 LCM of 8 and 10 via Prime
  554.    wt: 1:   4 signed coordinates for regions in space
  555.    wt: 1:   3 signed coordinates for maps and planes
  556.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  557.    wt: 1:   D Three Term Ratios
  558.    wt: 1:   B Fractions and Two Term Ratios
  559.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  560.    wt: 1:   21 Reciprocals for Fractions and Wholes
  561.    wt: 1:   19 Dividing Fractions How TO
  562.    wt: 1:   16 Addition Subtraction Comparision Compared
  563.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  564.    wt: 1:   13 Fraction Comparison Algebraic View
  565.    wt: 1:   11 Simplification an Algebraic View
  566.    wt: 1:   9 Improper Fractions and Mixed Numbers
  567.    wt: 1:   6 Multiplication Algebraically Take II
  568.    wt: 1:   11 Adding Integers Formulas and Examples
  569.    wt: 1:   10 Integer Multiplication Formulas
  570.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  571.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  572.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  573.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  574.    wt: 1:   5 Remainder Arithmetic Modulo 5
  575.    wt: 1:   16 video Factors of 980 using prime
  576.    wt: 1:   8 video Prime Factorization upto 19
  577.    wt: 1:   3 video Primes and Composites from 9 times table
  578.    wt: 1:   Long Division Backwards more
  579.    wt: 1:   Long Division Backward
  580.    wt: 1:   Long Division forwards and backwards Example 3
  581.    wt: 1:   Long Division forwards and backwards Example 2
  582.    wt: 1:   C Counting Areas with Powers of Ten
  583.    wt: 1:   A Elementary Basis for Multiplication Methods
  584.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  585.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  586.    wt: 1:   Subtraction with J Conversions Example
  587.    wt: 1:   Subtraction Another Video Lesson
  588.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  589.    wt: 1:   5 A Tip for Efficent Subtraction
  590.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  591.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  592.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  593.    wt: 1:   Quick history of numbers and algebra
  594.    wt: 1:   Formula Evaluation how to show work
  595.    wt: 1:   The 12 Times Table Visually
  596.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  597.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  598.    wt: 1:   A Chain Rule Real Player video examples
  599.    wt: 1:   36 Cube root derivative animated
  600.    wt: 1:   29 Chain Rule Optional Reading
  601.    wt: 1:   28 Chain Rule Preparation for a Proof
  602.    wt: 1:   22 Chain Rule for polynomials
  603.    wt: 1:   21 Chain Rule for powers
  604.    wt: 1:   20 Chain Rule for Pulley Systems
  605.    wt: 1:   11 Quotient rule
  606.    wt: 1:   10 Power rule for negative integers
  607.    wt: 1:   9 Reciprocal rule
  608.    wt: 1:   3 Motivation for Limit Definition Take 2
  609.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  610.    wt: 1:   9 Limits Continuity and Composition
  611.    wt: 1:   3 Decimal insights for limits continuity convergence
  612.    wt: 1:   2 Algebraic codification
  613.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  614.    wt: 1:   G.5 Motions With Bounded Velocities
  615.    wt: 1:   F.1 What Functions are Continuous
  616.    wt: 1:   E2 Algebraic Properties of Limits
  617.    wt: 1:   PostScript For and Against Decimal Perspectives
  618.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  619.    wt: 1:   Fall 1983 Calculus Appetizer
  620.    wt: 1:   Foreword
  621.    wt: 1:   Chapter 3 Algebra Difficulties
  622.    wt: 1:   Chapter 2 For and Against Mathematics
  623.    wt: 1:   Foreword
  624.    wt: 1:   Postscript C Consistency as a Tool for Reason
  625.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  626.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  627.    wt: 1:   Foreword
  628.    wt: 1:   R Why Learn Mathematics Skills
  629.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  630.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  631.    wt: 1:   O On Learning Mathematics and Science
  632.    wt: 1:   M Words to extend arithmetic
  633.    wt: 1:   L Skills with take home value
  634.    wt: 1:   N Improving Marks on Tests and Finals
  635.    wt: 1:   J. More on written work and showing skill
  636.    wt: 1:   H more Routine to non routine problem solving
  637.    wt: 1:   H Jigsaw puzzles and problem solving
  638.    wt: 1:   F. The student teacher tutor feedback loop
  639.    wt: 1:   E. When and how to correct errors
  640.    wt: 1:   D. Check work a must with a caution
  641.    wt: 1:   C. Domino effect of being careful
  642.    wt: 1:   B. Domino effect of errors
  643.    wt: 1:   A. Skill has to be seen to believed
  644.    wt: 1:   How to Build Skills and Confidence
  645.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  646.    wt: 1:   Chapter 6 More Algebra and Geometry
  647.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  648.    wt: 1:   Chapter 3 Algebra Starter Lessons
  649.    wt: 1:   7 Games and Activities for Instruction
  650.    wt: 1:   The Math Forum and Site Content

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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