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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

35 matches:

  1.    wt: 3:   6 Trigonometry first steps/
  2.    wt: 2:   Parent Center/
  3.    wt: 2:   Mathematics Skills Year by Year/
  4.    wt: 2:   2 Formula Forward Use Evaluation/
  5.    wt: 2:   6 Fractions and Ratios/
  6.    wt: 2:   Mathematics 506 Lessons/
  7.    wt: 1:   LAMP Lean Applied Mathematics Program/
  8.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 1:   Mathematics Education Essays/
  10.    wt: 1:   Direct Current Electric Circuits/
  11.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  12.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 1:   13 Vectors/
  14.    wt: 1:   12 Function Translating and Rescaling/
  15.    wt: 1:   11 Parallel Straight Lines and Transversals/
  16.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  17.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  18.    wt: 1:   8 Unit Circle Trigonometry/
  19.    wt: 1:   7 Complex Numbers/
  20.    wt: 1:   5 What is Similarity/
  21.    wt: 1:   4 Lines and Slopes Take 1/
  22.    wt: 1:   3 Cartesian and Polar Coordinates/
  23.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  24.    wt: 1:   1 Maps Plans Measurement/
  25.    wt: 1:   Geometry maps plans trigonometry vectors/
  26.    wt: 1:   9 Proportionality Backwards and Forwards/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  31.    wt: 1:   Volume 2 Three Skills For Algebra/
  32.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  33.    wt: 1:   Secondary Mathematics A Practical Approach/
  34.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  35.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

293 matches:

  1.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  2.    wt: 3:   26 Formulas for products of sines and cosines
  3.    wt: 2:   three goals for Mathematics Education
  4.    wt: 2:   three aims for mathematics students
  5.    wt: 2:   formal or informal peer review
  6.    wt: 2:   need for a mixed mathematics curriculum
  7.    wt: 2:   Prequel In For A Penny In For A Pound
  8.    wt: 2:   words for mathematics instructor
  9.    wt: 2:   22 Student Centered Highschool Mathematics
  10.    wt: 2:   16 Secondary Mathematics Tips
  11.    wt: 2:   12 Goals and Objectives For Mathematics
  12.    wt: 2:   6 Set Existence Formation and Notation
  13.    wt: 2:   5 Function notation for geometric transformations
  14.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  15.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  16.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  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:   6 sines and cosines for reference angle 30 degrees
  20.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  21.    wt: 2:   13 Trig Formulas for dot and cross Products
  22.    wt: 2:   12 cis formulas for sine cosines and tangent
  23.    wt: 2:   4 Equations for lines three forms
  24.    wt: 2:   6 Column Methods for Decimal Multiplication
  25.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  26.    wt: 2:   6 Compound Interest Forward and Backwards
  27.    wt: 2:   Formula Usage Show Work Format
  28.    wt: 2:   1 Written work formats for developing and showing skill
  29.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  30.    wt: 2:   38 Formulas and derivatives for powers and roots
  31.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  32.    wt: 2:   Postscript For Better Performance
  33.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  34.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  35.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  36.    wt: 2:   Chapter 2 For and Against Mathematics
  37.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  38.    wt: 2:   N Mathematics Prepare for College Studies
  39.    wt: 2:   G. Written work formats for developing and showing skill
  40.    wt: 1:   E LAMP Introduction Modern Mathematics
  41.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  42.    wt: 1:   11 pure mathematics
  43.    wt: 1:   6 polynomials etc
  44.    wt: 1:   three goals to set for students
  45.    wt: 1:   permissions for teachers
  46.    wt: 1:   activities for students
  47.    wt: 1:   Mathematics Education Professors
  48.    wt: 1:   mathematics in context
  49.    wt: 1:   Education Reform Inconsistencies
  50.    wt: 1:   Secondary Three Mathematics
  51.    wt: 1:   Secondary Two Mathematics
  52.    wt: 1:   Secondary One Mathematics
  53.    wt: 1:   mathematics curriculum shifts
  54.    wt: 1:   geometric implications for algebra
  55.    wt: 1:   04 29 New Mathematics Curriculum
  56.    wt: 1:   02 21 words for teachers
  57.    wt: 1:   02 20 mathematics education references
  58.    wt: 1:   standards for course material
  59.    wt: 1:   mathematics instruction in general
  60.    wt: 1:   Education in mathematics science and technology
  61.    wt: 1:   three kinds of reason in mathematics
  62.    wt: 1:   Four ways to improve education reform
  63.    wt: 1:   Leaner mathematics curriculum
  64.    wt: 1:   fairness and inductive principles for instruction
  65.    wt: 1:   chapitre 06 00 Chaines de la raison
  66.    wt: 1:   chapitre 04 06 engagements
  67.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  68.    wt: 1:   1 Energy Power Heat06
  69.    wt: 1:   C Electromotive force conventional current02
  70.    wt: 1:   B Electromotive force conventional current01
  71.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  72.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  73.    wt: 1:   24 Standards For Skill Develoment Take II
  74.    wt: 1:   24 Standards For Skill Develoment
  75.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  76.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  77.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  78.    wt: 1:   18 Primary School Mathematics
  79.    wt: 1:   17 Math Booklets for children and young teenagers
  80.    wt: 1:   15 Counting For Parents
  81.    wt: 1:   10 Ends values for work study instruction
  82.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  83.    wt: 1:   5 Patience Please for Yourself and Your Charges
  84.    wt: 1:   4 Learning Takes Time and Effort
  85.    wt: 1:   3 Preparing for Science Studies
  86.    wt: 1:   Ages 6 to 7
  87.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  88.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  89.    wt: 1:   26 Function definitions done and coming
  90.    wt: 1:   16 Increasing or decreasing on intervals
  91.    wt: 1:   4 Function notation in and beyond mathematics
  92.    wt: 1:   3 Formula or function graphing exercise
  93.    wt: 1:   Introduction Reading Guide
  94.    wt: 1:   8 quadratics backward use of various formulas
  95.    wt: 1:   7 quadratic formulla derivation
  96.    wt: 1:   6 quadratics numerical approach
  97.    wt: 1:   8 Notes for instructors or tutors
  98.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  99.    wt: 1:   16 cotangent function Definition Graph and Inverse
  100.    wt: 1:   12 motivation for term arctan
  101.    wt: 1:   9 motivation for name arcsin
  102.    wt: 1:   6 Graph of arccos function
  103.    wt: 1:   4 possible motivation for term arccos
  104.    wt: 1:   6 Radian Measure to Degrees
  105.    wt: 1:   12 From Applied To Pure Mathematics
  106.    wt: 1:   6 Vectors with Coordinates
  107.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  108.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  109.    wt: 1:   8 Straight Lines Equation for vertical
  110.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  111.    wt: 1:   17 tangent function angle sum formulas
  112.    wt: 1:   29 secant cosecant and cotangent for acute angles
  113.    wt: 1:   25 tangent double angle formula Slope connection
  114.    wt: 1:   24 tangent Angle Difference Formula
  115.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  116.    wt: 1:   21 sine and cosine Half Angle Formulas
  117.    wt: 1:   20 sine and cosine Double Angle Formulas
  118.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  119.    wt: 1:   17C sine and cosine double triple angle formulas
  120.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  121.    wt: 1:   16 Right Triangle Complementary Angle Relations
  122.    wt: 1:   12 Graph of tangent function for one period
  123.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  124.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  125.    wt: 1:   16 References and Originality Question
  126.    wt: 1:   11 sine and cosine double triple angle formulas
  127.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  128.    wt: 1:   6 Field Properties of Complex Number
  129.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  130.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  131.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  132.    wt: 1:   6 Geometric Diagrams in Class
  133.    wt: 1:   8 Mid Point Formula
  134.    wt: 1:   6 Intersection of lines by solving linear systems
  135.    wt: 1:   3 Slope product for perpendicular lines
  136.    wt: 1:   2 point slope equation for a line
  137.    wt: 1:   13 Pythagorean spatial distance formulas
  138.    wt: 1:   10 Pythagorean plane distance formula
  139.    wt: 1:   6 Polar Multiplication and Rotation
  140.    wt: 1:   PS H Distributive Law For Complex Numbers
  141.    wt: 1:   16 Angles Subtended By Chords and Diameters
  142.    wt: 1:   6 Ruler and compass Angle Bisection
  143.    wt: 1:   6 Figuring with Maps Not to Scale
  144.    wt: 1:   26 More Less Greater Than Comparison
  145.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  146.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  147.    wt: 1:   5 Distributive Law for Whole Numbers
  148.    wt: 1:   4 Commutative Law Groups Counting Form
  149.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  150.    wt: 1:   5 Triangle Area Formula Backwards
  151.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  152.    wt: 1:   6 Equations and Systems Equivalent or Implied
  153.    wt: 1:   3 Product Axioms Two Forms
  154.    wt: 1:   2 More and Less Than for Counts and Measures
  155.    wt: 1:   16 Real Numbers Comparison
  156.    wt: 1:   9 Coordinates for Regions in Space
  157.    wt: 1:   8 Coordinates for Maps and Planes
  158.    wt: 1:   6 Unsigned Real Numbers
  159.    wt: 1:   3 Geometric Formulas and Function Notation
  160.    wt: 1:   1 Formulas Dependence and Function Notation
  161.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  162.    wt: 1:   6 Algebraic Solution Example
  163.    wt: 1:   6 Three Examples
  164.    wt: 1:   Using Letters for Physical Quantities
  165.    wt: 1:   13 Naming Identifying Formulas with Words
  166.    wt: 1:   8 Compound Interest Formula Evaluation
  167.    wt: 1:   7 Compound Interest Formula Introduction
  168.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  169.    wt: 1:   5 Box Volume Formula Example
  170.    wt: 1:   4 Circle Area Formula Example
  171.    wt: 1:   3 Triangle Area Formula Example
  172.    wt: 1:   2 Another Rectangle Area Formula Example
  173.    wt: 1:   6 Power Set Notation
  174.    wt: 1:   6 Three Notions of What is a Variable
  175.    wt: 1:   1 Three Skills For Algebra
  176.    wt: 1:   arithmetic videos Real Player Format
  177.    wt: 1:   1 More and Less Than for Counts and Measures
  178.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  179.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  180.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  181.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  182.    wt: 1:   6 GCD from Prime
  183.    wt: 1:   5 Common Divisors 60 45 via Prime
  184.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  185.    wt: 1:   6 adding signed numbers
  186.    wt: 1:   4 signed coordinates for regions in space
  187.    wt: 1:   3 signed coordinates for maps and planes
  188.    wt: 1:   6 Simplification of Fractions with Units
  189.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  190.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  191.    wt: 1:   21 Reciprocals for Fractions and Wholes
  192.    wt: 1:   16 Addition Subtraction Comparision Compared
  193.    wt: 1:   6 Multiplication of Mixed Numbers
  194.    wt: 1:   6 Multiplication Algebraically Take II
  195.    wt: 1:   11 Adding Integers Formulas and Examples
  196.    wt: 1:   10 Integer Multiplication Formulas
  197.    wt: 1:   6 Multiplication by Natural Numbers
  198.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  199.    wt: 1:   26 Divisibility by 2 3 5 Example
  200.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  201.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  202.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  203.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  204.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  205.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  206.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  207.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  208.    wt: 1:   16 video Factors of 980 using prime
  209.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  210.    wt: 1:   2 Prime and Composites less than 16
  211.    wt: 1:   Long Division forwards and backwards Example 3
  212.    wt: 1:   Long Division forwards and backwards Example 2
  213.    wt: 1:   Long Division forwards and backwards Example 1
  214.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  215.    wt: 1:   A Elementary Basis for Multiplication Methods
  216.    wt: 1:   6 Multiplication Commutes Order Not Important
  217.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  218.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  219.    wt: 1:   5 A Tip for Efficent Subtraction
  220.    wt: 1:   6. Counting and adding units and mixed units
  221.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  222.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  223.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  224.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  225.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  226.    wt: 1:   Formula Evaluation how to show work
  227.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  228.    wt: 1:   016 Numbering Occidental Calendar Days
  229.    wt: 1:   6 How long is a million seconds
  230.    wt: 1:   36 Cube root derivative animated
  231.    wt: 1:   28 Chain Rule Preparation for a Proof
  232.    wt: 1:   26 Chain Rule Recognising outer inner functions
  233.    wt: 1:   22 Chain Rule for polynomials
  234.    wt: 1:   21 Chain Rule for powers
  235.    wt: 1:   20 Chain Rule for Pulley Systems
  236.    wt: 1:   19 Chain Rule for linear functions
  237.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  238.    wt: 1:   10 Power rule for negative integers
  239.    wt: 1:   6 Power rule from product rule
  240.    wt: 1:   3 Motivation for Limit Definition Take 2
  241.    wt: 1:   2 Motivation for Limit Definition Take 1
  242.    wt: 1:   6 Continuity at a point
  243.    wt: 1:   3 Decimal insights for limits continuity convergence
  244.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  245.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  246.    wt: 1:   PostScript For and Against Decimal Perspectives
  247.    wt: 1:   Chapter 16. Velocity Approximation
  248.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  249.    wt: 1:   Foreword
  250.    wt: 1:   Postscript More on Better Performance
  251.    wt: 1:   Appendix E. How To Study Mathematics and Why
  252.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  253.    wt: 1:   Chapter 23. Notation For Sums
  254.    wt: 1:   Chapter 21. Third Reading Guide
  255.    wt: 1:   Chapter 18. Rules for Algebra
  256.    wt: 1:   Chapter 16. Painless Theorem Proving
  257.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  258.    wt: 1:   Chapter 13. Second Reading Guide
  259.    wt: 1:   Chapter 12. Shorthand Usage Guide
  260.    wt: 1:   Chapter 8 Three Skills For Algebra
  261.    wt: 1:   Solutions For Arithmetic Exercises
  262.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  263.    wt: 1:   Chapter 6 Change of Language
  264.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  265.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  266.    wt: 1:   Foreword
  267.    wt: 1:   Postscript B Mathematics Education References
  268.    wt: 1:   Foreword
  269.    wt: 1:   Postscript C Consistency as a Tool for Reason
  270.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  271.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  272.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  273.    wt: 1:   Chapter 6 Chains of Reason
  274.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  275.    wt: 1:   Foreword
  276.    wt: 1:   R Why Learn Mathematics Skills
  277.    wt: 1:   O On Learning Mathematics and Science
  278.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  279.    wt: 1:   Chapter 6 More Algebra and Geometry
  280.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  281.    wt: 1:   7 Games and Activities for Instruction
  282.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  283.    wt: 1:   Helping the Blind in Logic and Mathematics
  284.    wt: 1:   Mathematics Education References
  285.    wt: 1:   Mathematics Education References
  286.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  287.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  288.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  289.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  290.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  291.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  292.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  293.    wt: 1:   The Math Forum and Site Content

Extended Search

737 matches:

  1.    wt: 5:   16 Secondary Mathematics Tips
  2.    wt: 4:   formal or informal peer review
  3.    wt: 4:   22 Student Centered Highschool Mathematics
  4.    wt: 4:   12 Goals and Objectives For Mathematics
  5.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  6.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  7.    wt: 4:   26 Formulas for products of sines and cosines
  8.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  9.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  10.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  11.    wt: 4:   1 Written work formats for developing and showing skill
  12.    wt: 4:   6 Multiplication of Mixed Numbers
  13.    wt: 4:   6 Multiplication Algebraically Take II
  14.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  15.    wt: 3:   6 polynomials etc
  16.    wt: 3:   three goals to set for students
  17.    wt: 3:   permissions for teachers
  18.    wt: 3:   activities for students
  19.    wt: 3:   three goals for Mathematics Education
  20.    wt: 3:   three aims for mathematics students
  21.    wt: 3:   need for a mixed mathematics curriculum
  22.    wt: 3:   Prequel In For A Penny In For A Pound
  23.    wt: 3:   words for mathematics instructor
  24.    wt: 3:   1 Energy Power Heat06
  25.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  26.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  27.    wt: 3:   24 Standards For Skill Develoment Take II
  28.    wt: 3:   24 Standards For Skill Develoment
  29.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  30.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  32.    wt: 3:   18 Primary School Mathematics
  33.    wt: 3:   17 Math Booklets for children and young teenagers
  34.    wt: 3:   15 Counting For Parents
  35.    wt: 3:   10 Ends values for work study instruction
  36.    wt: 3:   5 Patience Please for Yourself and Your Charges
  37.    wt: 3:   4 Learning Takes Time and Effort
  38.    wt: 3:   3 Preparing for Science Studies
  39.    wt: 3:   Ages 6 to 7
  40.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  41.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  42.    wt: 3:   6 Set Existence Formation and Notation
  43.    wt: 3:   17 tangent function angle sum formulas
  44.    wt: 3:   17E Trig Formulas for dot and cross Products
  45.    wt: 3:   17D cis formulas for sine cosines and tangent
  46.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  47.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  48.    wt: 3:   16 References and Originality Question
  49.    wt: 3:   13 Trig Formulas for dot and cross Products
  50.    wt: 3:   12 cis formulas for sine cosines and tangent
  51.    wt: 3:   6 Field Properties of Complex Number
  52.    wt: 3:   8 Triangles Cascade Problem Solving
  53.    wt: 3:   7 Trignometric Ratios Unit Circle
  54.    wt: 3:   3 Trigonometric Ratios sine and cosine
  55.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  56.    wt: 3:   1 Angle Measurement with Degrees
  57.    wt: 3:   Why Trigonometry the whyslopes view
  58.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  59.    wt: 3:   6 Geometric Diagrams in Class
  60.    wt: 3:   6 Intersection of lines by solving linear systems
  61.    wt: 3:   4 Equations for lines three forms
  62.    wt: 3:   6 Polar Multiplication and Rotation
  63.    wt: 3:   16 Angles Subtended By Chords and Diameters
  64.    wt: 3:   6 Ruler and compass Angle Bisection
  65.    wt: 3:   6 Column Methods for Decimal Multiplication
  66.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  67.    wt: 3:   6 Compound Interest Forward and Backwards
  68.    wt: 3:   6 Algebraic Solution Example
  69.    wt: 3:   13 Naming Identifying Formulas with Words
  70.    wt: 3:   8 Compound Interest Formula Evaluation
  71.    wt: 3:   7 Compound Interest Formula Introduction
  72.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  73.    wt: 3:   5 Box Volume Formula Example
  74.    wt: 3:   4 Circle Area Formula Example
  75.    wt: 3:   3 Triangle Area Formula Example
  76.    wt: 3:   2 Another Rectangle Area Formula Example
  77.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  78.    wt: 3:   21 Reciprocals for Fractions and Wholes
  79.    wt: 3:   16 Addition Subtraction Comparision Compared
  80.    wt: 3:   9 Improper Fractions and Mixed Numbers
  81.    wt: 3:   8 Numerals Fractionals Quantals Take II
  82.    wt: 3:   7 Numerals Fractionals Quantals
  83.    wt: 3:   Chapter 16. Velocity Approximation
  84.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  85.    wt: 3:   Postscript For Better Performance
  86.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  87.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  88.    wt: 3:   Chapter 16. Painless Theorem Proving
  89.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  90.    wt: 3:   Chapter 6 Change of Language
  91.    wt: 3:   Chapter 2 For and Against Mathematics
  92.    wt: 3:   Chapter 6 More Algebra and Geometry
  93.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  94.    wt: 2:   E LAMP Introduction Modern Mathematics
  95.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  96.    wt: 2:   Ramblings Extrinsic numbers theory
  97.    wt: 2:   11 pure mathematics
  98.    wt: 2:   Teach the teachers plus goals
  99.    wt: 2:   Math Ed if it must be short make it lean effective
  100.    wt: 2:   Applied Maths Program14092009 POMME variant
  101.    wt: 2:   links Education Resources online
  102.    wt: 2:   Mathematics Education Professors
  103.    wt: 2:   mathematics in context
  104.    wt: 2:   Education Reform Inconsistencies
  105.    wt: 2:   Secondary Three Mathematics
  106.    wt: 2:   Secondary Two Mathematics
  107.    wt: 2:   Secondary One Mathematics
  108.    wt: 2:   teaching tips
  109.    wt: 2:   mathematics curriculum shifts
  110.    wt: 2:   geometric implications for algebra
  111.    wt: 2:   04 29 New Mathematics Curriculum
  112.    wt: 2:   02 21 words for teachers
  113.    wt: 2:   02 20 mathematics education references
  114.    wt: 2:   standards for course material
  115.    wt: 2:   Operational Viewpoint to Value
  116.    wt: 2:   mathematics instruction in general
  117.    wt: 2:   Education in mathematics science and technology
  118.    wt: 2:   three kinds of reason in mathematics
  119.    wt: 2:   Four ways to improve education reform
  120.    wt: 2:   Motivation and Context Problem
  121.    wt: 2:   Leaner mathematics curriculum
  122.    wt: 2:   fairness and inductive principles for instruction
  123.    wt: 2:   D Wire Resistance Calculation02
  124.    wt: 2:   E Kirchoffs Second Law
  125.    wt: 2:   C Electromotive force conventional current02
  126.    wt: 2:   B Electromotive force conventional current01
  127.    wt: 2:   Home Tutoring and Home Schooling
  128.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  129.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  130.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  131.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  132.    wt: 2:   14 Multiplication and Times Tables
  133.    wt: 2:   13 Addition and Addition Tables
  134.    wt: 2:   11 Help and Defend Your Child or Teens Education
  135.    wt: 2:   9 Streaming by Student Cooperation
  136.    wt: 2:   8 The Effect of Negative Remarks
  137.    wt: 2:   7 Student Motivation
  138.    wt: 2:   2 Reading and Writing Skills
  139.    wt: 2:   1 Speaking Skills
  140.    wt: 2:   Ages 12 to 14 Skills with take home value
  141.    wt: 2:   Ages 12 to 14 Geometry
  142.    wt: 2:   Ages 12 to 14 Arithmetic
  143.    wt: 2:   Ages 10 to 12 Geometry
  144.    wt: 2:   Ages 10 to 12 Arithmetic
  145.    wt: 2:   Ages 9 to 10
  146.    wt: 2:   Ages 8 to 9
  147.    wt: 2:   Ages 7 to 8
  148.    wt: 2:   Ages 4 plus to 5 plus
  149.    wt: 2:   Ages 3 plus to 4 plus
  150.    wt: 2:   26 Function definitions done and coming
  151.    wt: 2:   16 Increasing or decreasing on intervals
  152.    wt: 2:   5 Function notation for geometric transformations
  153.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  154.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  155.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  156.    wt: 2:   16 cotangent function Definition Graph and Inverse
  157.    wt: 2:   12 motivation for term arctan
  158.    wt: 2:   9 motivation for name arcsin
  159.    wt: 2:   6 Graph of arccos function
  160.    wt: 2:   4 possible motivation for term arccos
  161.    wt: 2:   6 Radian Measure to Degrees
  162.    wt: 2:   5 Degrees to Radian Measure
  163.    wt: 2:   12 From Applied To Pure Mathematics
  164.    wt: 2:   6 Vectors with Coordinates
  165.    wt: 2:   Parallel Lines and Parallel Transversals
  166.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  167.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  168.    wt: 2:   8 Straight Lines Equation for vertical
  169.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  170.    wt: 2:   4 Tangent Function Properties
  171.    wt: 2:   29 secant cosecant and cotangent for acute angles
  172.    wt: 2:   27 Logarithmic use of products of sines and cosines
  173.    wt: 2:   25 tangent double angle formula Slope connection
  174.    wt: 2:   24 tangent Angle Difference Formula
  175.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  176.    wt: 2:   21 sine and cosine Half Angle Formulas
  177.    wt: 2:   20 sine and cosine Double Angle Formulas
  178.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  179.    wt: 2:   17C sine and cosine double triple angle formulas
  180.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  181.    wt: 2:   16 Right Triangle Complementary Angle Relations
  182.    wt: 2:   12 Graph of tangent function for one period
  183.    wt: 2:   9 Graphs of sine and cosine over one period
  184.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  185.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  186.    wt: 2:   11 sine and cosine double triple angle formulas
  187.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  188.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  189.    wt: 2:   8 Mid Point Formula
  190.    wt: 2:   3 Slope product for perpendicular lines
  191.    wt: 2:   2 point slope equation for a line
  192.    wt: 2:   13 Pythagorean spatial distance formulas
  193.    wt: 2:   10 Pythagorean plane distance formula
  194.    wt: 2:   PS H Distributive Law For Complex Numbers
  195.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  196.    wt: 2:   6 Figuring with Maps Not to Scale
  197.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  198.    wt: 2:   5 Triangle Area Formula Backwards
  199.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  200.    wt: 2:   2 More and Less Than for Counts and Measures
  201.    wt: 2:   6 Three Examples
  202.    wt: 2:   Formula Usage Show Work Format
  203.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  204.    wt: 2:   11 Volume of Sphere
  205.    wt: 2:   10 Volume of Pyramid
  206.    wt: 2:   9 Volume of Cone
  207.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  208.    wt: 2:   5 Common Divisors 60 45 via Prime
  209.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  210.    wt: 2:   6 adding signed numbers
  211.    wt: 2:   6 Simplification of Fractions with Units
  212.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  213.    wt: 2:   D Three Term Ratios
  214.    wt: 2:   B Fractions and Two Term Ratios
  215.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  216.    wt: 2:   22 Complex Compound Fractions
  217.    wt: 2:   21 Working With Signs
  218.    wt: 2:   20 Dividing Fractions the Why
  219.    wt: 2:   19 Dividing Fractions How TO
  220.    wt: 2:   18 Efficient Ways to Multiply
  221.    wt: 2:   17 Efficient Ways to Add and Subtract
  222.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  223.    wt: 2:   14 Adding and Subtracting with Like Denominators
  224.    wt: 2:   13 Fraction Comparison Algebraic View
  225.    wt: 2:   12 Fraction Comparison
  226.    wt: 2:   11 Simplification an Algebraic View
  227.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  228.    wt: 2:   5 Equivalent Fractions
  229.    wt: 2:   4 Fraction Multiplication
  230.    wt: 2:   3 Unit fraction of a fraction
  231.    wt: 2:   2 Unit Fraction Multiplication
  232.    wt: 2:   1 What is a fraction Take II
  233.    wt: 2:   1 What is a fraction
  234.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  235.    wt: 2:   6 Multiplication by Natural Numbers
  236.    wt: 2:   16 video Factors of 980 using prime
  237.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  238.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  239.    wt: 2:   6 Multiplication Commutes Order Not Important
  240.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  241.    wt: 2:   6. Counting and adding units and mixed units
  242.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  243.    wt: 2:   38 Formulas and derivatives for powers and roots
  244.    wt: 2:   6 Continuity at a point
  245.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  246.    wt: 2:   Foreword
  247.    wt: 2:   Postscript More on Better Performance
  248.    wt: 2:   Appendix E. How To Study Mathematics and Why
  249.    wt: 2:   Chapter 23. Notation For Sums
  250.    wt: 2:   Chapter 21. Third Reading Guide
  251.    wt: 2:   Chapter 18. Rules for Algebra
  252.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  253.    wt: 2:   Chapter 13. Second Reading Guide
  254.    wt: 2:   Chapter 12. Shorthand Usage Guide
  255.    wt: 2:   Chapter 8 Three Skills For Algebra
  256.    wt: 2:   Solutions For Arithmetic Exercises
  257.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  258.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  259.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  260.    wt: 2:   Foreword
  261.    wt: 2:   Postscript B Mathematics Education References
  262.    wt: 2:   Foreword
  263.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  264.    wt: 2:   Chapter 6 Chains of Reason
  265.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  266.    wt: 2:   N Mathematics Prepare for College Studies
  267.    wt: 2:   G. Written work formats for developing and showing skill
  268.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  269.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  270.    wt: 2:   7 Games and Activities for Instruction
  271.    wt: 2:   Helping the Blind in Logic and Mathematics
  272.    wt: 2:   Mathematics Education References
  273.    wt: 2:   Mathematics Education References
  274.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  275.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  276.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  277.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  278.    wt: 2:   Implementation Notes
  279.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  280.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  281.    wt: 1:   Appendix 2 primary school Arithmetic 01
  282.    wt: 1:   Appendix 1 primary and preschool mathematic
  283.    wt: 1:   K LAMP Musings Science Education
  284.    wt: 1:   J LAMP Introduction Extrinsic Origins
  285.    wt: 1:   I LAMP Introduction Study Habits
  286.    wt: 1:   H LAMP Introduction Instructional Concepts
  287.    wt: 1:   G LAMP Introduction Problem Solving Skills
  288.    wt: 1:   F LAMP Introduction Prerequisites
  289.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  290.    wt: 1:   A Introduction Objectives
  291.    wt: 1:   Skills Chapter 5 Calculus
  292.    wt: 1:   Skills Chapter 4 Logic
  293.    wt: 1:   Ramblings Introduction Algebra Essay
  294.    wt: 1:   Skills Chapter 3 Algebra
  295.    wt: 1:   Skills Chapter 2 Geometry
  296.    wt: 1:   Skills Chapter 1 Arithmetic
  297.    wt: 1:   Skills Chapter 0 Introduction
  298.    wt: 1:   10 statistics
  299.    wt: 1:   9 combinatorics probability sets
  300.    wt: 1:   8 analytic geometry etc
  301.    wt: 1:   7 logic review and decimals an odd combination
  302.    wt: 1:   5 logarithms and exponentials etc
  303.    wt: 1:   4 algebra
  304.    wt: 1:   3 Euclidean Geometry Leanly
  305.    wt: 1:   2 arithmetic with signed numbers
  306.    wt: 1:   1 arithmetic with unsigned numbers
  307.    wt: 1:   What is POMME
  308.    wt: 1:   why bother
  309.    wt: 1:   which way to go
  310.    wt: 1:   website reviews
  311.    wt: 1:   site origins
  312.    wt: 1:   site eurekas
  313.    wt: 1:   About site lesson plans
  314.    wt: 1:   key notes and themes
  315.    wt: 1:   teacher certification
  316.    wt: 1:   modern education
  317.    wt: 1:   learning takes time
  318.    wt: 1:   grouping students according to ability
  319.    wt: 1:   what should be learnt and When
  320.    wt: 1:   Postscript 2007 01 10
  321.    wt: 1:   five decades make a difference
  322.    wt: 1:   Maps Plans Drawings
  323.    wt: 1:   how letters appear
  324.    wt: 1:   talk the algebra talk
  325.    wt: 1:   three difficulties
  326.    wt: 1:   What to Tell Students
  327.    wt: 1:   teaching tutoring algebraic reason
  328.    wt: 1:   Lessening Algebra Difficulties
  329.    wt: 1:   the trouble with algebra
  330.    wt: 1:   05 13 OldSiteEntrancePage
  331.    wt: 1:   04 25 when to stop or suspend mathemat
  332.    wt: 1:   Theory of Knowledge
  333.    wt: 1:   Different Kinds of Reasoning in maths
  334.    wt: 1:   cultivating intelligence
  335.    wt: 1:   How to be a better instructor
  336.    wt: 1:   education an empirical art
  337.    wt: 1:   chapitre 06 00 Chaines de la raison
  338.    wt: 1:   chapitre 04 06 engagements
  339.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  340.    wt: 1:   logique deux enigme
  341.    wt: 1:   4 Energy Power Heat09
  342.    wt: 1:   3 Energy Power Heat08
  343.    wt: 1:   2 Energy Power Heat07
  344.    wt: 1:   E Energy Power05
  345.    wt: 1:   D Energy Power04
  346.    wt: 1:   C Energy Power03
  347.    wt: 1:   B Energy Power02
  348.    wt: 1:   A Energy Power01
  349.    wt: 1:   2 Conductance Resistance Duality02
  350.    wt: 1:   1 Conductance Resistance Duality01
  351.    wt: 1:   F Wire Resistance Calculation04
  352.    wt: 1:   E Wire Resistance Calculation03
  353.    wt: 1:   C Wire Resistance Calculation01
  354.    wt: 1:   B Wire Resistance Qualitative02
  355.    wt: 1:   A Wire Resistance Qualitative01
  356.    wt: 1:   3 Like resistors in parallel
  357.    wt: 1:   2 Unlike resistors in parallel01
  358.    wt: 1:   1 Like resistors in series
  359.    wt: 1:   H Series Circuit02
  360.    wt: 1:   G Series Circuit01
  361.    wt: 1:   F Unlike Resistors in Series
  362.    wt: 1:   D Kirchoff First Law
  363.    wt: 1:   A Circuit Elements
  364.    wt: 1:   4 Function notation in and beyond mathematics
  365.    wt: 1:   3 Formula or function graphing exercise
  366.    wt: 1:   Introduction Reading Guide
  367.    wt: 1:   8 quadratics backward use of various formulas
  368.    wt: 1:   7 quadratic formulla derivation
  369.    wt: 1:   6 quadratics numerical approach
  370.    wt: 1:   8 Notes for instructors or tutors
  371.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  372.    wt: 1:   15 cosecant function Definition Graph and Inverse
  373.    wt: 1:   14 secant function Definition Graph and Inverse
  374.    wt: 1:   13 cosecant function Definition Graph and Inverse
  375.    wt: 1:   11 arctan left inverse of tangent Graph
  376.    wt: 1:   10 arctan left inverse of tangent Definition
  377.    wt: 1:   8 arcsin left inverse of sine Graph
  378.    wt: 1:   7 arcsin left inverse of sine Definition
  379.    wt: 1:   5 Swapping Coordinates is a reflection
  380.    wt: 1:   3 Left Inverse of cosine arccos definition
  381.    wt: 1:   2 cosine function more properties
  382.    wt: 1:   1 cosine function properties
  383.    wt: 1:   9 Summary Degrees to Radians and back
  384.    wt: 1:   8 Radian Measures of Common Angles
  385.    wt: 1:   7 Radian Measures in special Triangles
  386.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  387.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  388.    wt: 1:   2 Radian Measure Numerical Value of one degree
  389.    wt: 1:   1 Degrees and Radians Introduction
  390.    wt: 1:   A Global Time and Navigation
  391.    wt: 1:   15 Dot and Cross Product
  392.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  393.    wt: 1:   13 Velocity Vectors in Physics
  394.    wt: 1:   11 Component Method
  395.    wt: 1:   10 Parallelogram Addition Method
  396.    wt: 1:   9 Head to Tail Coordinate View
  397.    wt: 1:   8 Parallel Vectors
  398.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  399.    wt: 1:   5 Head To Tail Arrow Addition
  400.    wt: 1:   4 Resultant of a Sum of Movements
  401.    wt: 1:   3 Navigation with Arrows or Vectors
  402.    wt: 1:   2 Signed Coordinates
  403.    wt: 1:   1 Unsigned Coordinates
  404.    wt: 1:   Vector and Complex Number Applet
  405.    wt: 1:   4 graphing y=Asin(x c)
  406.    wt: 1:   3 graphing y=f(x c) plus K
  407.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  408.    wt: 1:   1 graphing y=f(x a)
  409.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  410.    wt: 1:   Triangle Angles Sum To 180 Degrees
  411.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  412.    wt: 1:   Parallel Lines and Interior Angles
  413.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  414.    wt: 1:   Straight Lines ASA Intersection Study More
  415.    wt: 1:   Straight Lines ASA Intersection Study
  416.    wt: 1:   Straight Lines Instersection Solving Equations
  417.    wt: 1:   Straight Lines Intersection of
  418.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  419.    wt: 1:   C Straight Lines Slope from Coordinates
  420.    wt: 1:   B Straight Line Slope Scaling Properties More
  421.    wt: 1:   A Straight Line Slope Scaling Properties
  422.    wt: 1:   14 Straight Lines Equations General Case
  423.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  424.    wt: 1:   12 Straight Lines Graphing mx plus b
  425.    wt: 1:   11 Straight Lines Graphing y=mx
  426.    wt: 1:   10 Straight Lines through Origin Equations More
  427.    wt: 1:   9 Straight Lines through Origin Equations
  428.    wt: 1:   7 Tangent Function is odd on this domain
  429.    wt: 1:   5 Tangent Function Graph
  430.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  431.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  432.    wt: 1:   1 Straight Lines Slope Concept
  433.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  434.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  435.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  436.    wt: 1:   32 seven rows of pascals triangle
  437.    wt: 1:   31 basic secant cosecant cotangent trig identities
  438.    wt: 1:   30 unit circle calculation of six trigonometric functions
  439.    wt: 1:   28 Expressing products of sines cosines as sums
  440.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  441.    wt: 1:   18 sum of sinusoidal waves as a single wave
  442.    wt: 1:   17G Pythagorean Theorem Converse
  443.    wt: 1:   17F Law of cosines
  444.    wt: 1:   17A The complex number valued trig function cis
  445.    wt: 1:   15 sine cosine Complementary Angle Relations
  446.    wt: 1:   14 cosine even and sine and tangent are odd
  447.    wt: 1:   13 Graph of tangent function many periods
  448.    wt: 1:   11 tangent function undefined when terminal side vertical
  449.    wt: 1:   10 Graphs of sines and cosines many periods
  450.    wt: 1:   8 period of tangent function
  451.    wt: 1:   7 period of sine and cosine
  452.    wt: 1:   2 Quadrant I reference Angles
  453.    wt: 1:   1 Unit Points Reflections Rotations
  454.    wt: 1:   Unit Circle Development of Trigonometry
  455.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  456.    wt: 1:   21 Logarithms Powers and Exponentials
  457.    wt: 1:   20 N th Roots of Complex Numbers
  458.    wt: 1:   19 N th Roots of Unity
  459.    wt: 1:   18 Sixth Roots of Unity
  460.    wt: 1:   17 Cube Roots of unity
  461.    wt: 1:   15 Pythagorean Theorem Converse
  462.    wt: 1:   14 Law of cosines
  463.    wt: 1:   9 The complex number valued trig function cis
  464.    wt: 1:   8 Unit Circle Development of Trigonometry
  465.    wt: 1:   7 Second Way to Calculate Products
  466.    wt: 1:   5 An Easy Proof of the Distributive Law
  467.    wt: 1:   4 Multiplication Properties
  468.    wt: 1:   3 Addition Properties
  469.    wt: 1:   2 Complex Numbers made easier we hope
  470.    wt: 1:   1 Rectangular Polar Coordinates Review
  471.    wt: 1:   Appetizer A Complex Number Applet
  472.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  473.    wt: 1:   12 Triangles Similarity More Problems
  474.    wt: 1:   11 Triangle Similarity Missing Side Problem
  475.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  476.    wt: 1:   9 Similarity of Triangles Usual Criteria
  477.    wt: 1:   8 Similarity of Triangles and Polygons
  478.    wt: 1:   7 Translations Rotations Reflections Dilatations
  479.    wt: 1:   4 Similarity Definition with Coordinate
  480.    wt: 1:   3 Similarity by Design with coordinates
  481.    wt: 1:   2 Similarity By Design
  482.    wt: 1:   1 Early Concept of Like or Similar Shapes
  483.    wt: 1:   Four Simple Exercises
  484.    wt: 1:   12 Links Lessons elsewhere
  485.    wt: 1:   11 A Partial Summary
  486.    wt: 1:   10 Midpoint of [a b] and [b a]
  487.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  488.    wt: 1:   7 Exercises to test skill and concept mastery
  489.    wt: 1:   5 Algebraic View of Slopes
  490.    wt: 1:   1 Numerical view of lines and their equations
  491.    wt: 1:   What is and is not here
  492.    wt: 1:   12 Spatial Coordinates
  493.    wt: 1:   11 Triangle Inequality
  494.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  495.    wt: 1:   8 Distance Between Points on a Line
  496.    wt: 1:   7 Complex Numbers Appetizer
  497.    wt: 1:   5 Cartesian Addition and Translation
  498.    wt: 1:   4 Polar Coordinates to and from
  499.    wt: 1:   3 Rectangular Coordinates Review
  500.    wt: 1:   2 Cartesian Coordinates with signs
  501.    wt: 1:   1 Cartesian Coordinates sans signs
  502.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  503.    wt: 1:   PS G Rotation Distributes over Addition
  504.    wt: 1:   PS E Multiplication with Polar Coordinates
  505.    wt: 1:   PS D Addition with Cartesian Coordinates
  506.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  507.    wt: 1:   PS B Parallelogram Construction Methods
  508.    wt: 1:   PS A Kite Construction Methods
  509.    wt: 1:   21 Parallelograms
  510.    wt: 1:   19 Right Triangle Similarity
  511.    wt: 1:   18 Triangle Similarity Take 1
  512.    wt: 1:   17 Right Bisectors of Triangle Sides
  513.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  514.    wt: 1:   14 Parallel Lines Postulate
  515.    wt: 1:   13 Angle Side Angle Failure
  516.    wt: 1:   12 Side Angle Side Failure
  517.    wt: 1:   11 Triangle Construction Fails
  518.    wt: 1:   10 Dropping a perpendicular to line
  519.    wt: 1:   9 Construction of a right bisector
  520.    wt: 1:   8 Isoceles Triangles
  521.    wt: 1:   7 Angle Side Angle
  522.    wt: 1:   5 Side Angle Side
  523.    wt: 1:   4 Side Side Side
  524.    wt: 1:   3 Isometry of Triangles Congruence
  525.    wt: 1:   2 Correspondence between Triangles
  526.    wt: 1:   1 Initial Concepts and Terms
  527.    wt: 1:   Short Course on Euclidean Geometry
  528.    wt: 1:   A Measurement with Ruler Proper Use
  529.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  530.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  531.    wt: 1:   4 Angles on Maps Plans drawn to scale
  532.    wt: 1:   3 Lengths and Areas on Maps and Plans
  533.    wt: 1:   2 Measuring Area Directly
  534.    wt: 1:   1 Length Measurement
  535.    wt: 1:   About Folder Contents
  536.    wt: 1:   26 More Less Greater Than Comparison
  537.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  538.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  539.    wt: 1:   5 Distributive Law for Whole Numbers
  540.    wt: 1:   4 Commutative Law Groups Counting Form
  541.    wt: 1:   5 Proportionality in Equivalent Fractions
  542.    wt: 1:   4 Rates Ratios and Proporitionality
  543.    wt: 1:   3 Proportionality Examples
  544.    wt: 1:   2 Algebraic View
  545.    wt: 1:   1 What is Proportionality
  546.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  547.    wt: 1:   3 Linear Equation Literal Solution More
  548.    wt: 1:   2 Linear Equation Literal Solution
  549.    wt: 1:   1 Changing Calculations
  550.    wt: 1:   6 Equations and Systems Equivalent or Implied
  551.    wt: 1:   3 Product Axioms Two Forms
  552.    wt: 1:   5 Greater More Less Than Signs in General
  553.    wt: 1:   4 Comparison of Negative Numbers
  554.    wt: 1:   3 More and Less Than with Unlike Signs
  555.    wt: 1:   1 Real Numbers Comparison
  556.    wt: 1:   16 Real Numbers Comparison
  557.    wt: 1:   9 Coordinates for Regions in Space
  558.    wt: 1:   8 Coordinates for Maps and Planes
  559.    wt: 1:   6 Unsigned Real Numbers
  560.    wt: 1:   3 Geometric Formulas and Function Notation
  561.    wt: 1:   1 Formulas Dependence and Function Notation
  562.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  563.    wt: 1:   5 Algebraic Solutions Introduction
  564.    wt: 1:   4 Four Examples Fractional Coefficients
  565.    wt: 1:   3 Four Examples
  566.    wt: 1:   2 Three Examples
  567.    wt: 1:   1 Proper Equal Sign Usage
  568.    wt: 1:   Using Letters for Physical Quantities
  569.    wt: 1:   6 Power Set Notation
  570.    wt: 1:   6 Three Notions of What is a Variable
  571.    wt: 1:   1 Three Skills For Algebra
  572.    wt: 1:   arithmetic videos Real Player Format
  573.    wt: 1:   1 More and Less Than for Counts and Measures
  574.    wt: 1:   3 Properties of Square Roots with example
  575.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  576.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  577.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  578.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  579.    wt: 1:   6 GCD from Prime
  580.    wt: 1:   2 Least Common Multiple LCM intro via list method
  581.    wt: 1:   12 GCD 2700 288 via Prime
  582.    wt: 1:   2 Counting with Tables and Trees I
  583.    wt: 1:   4 signed coordinates for regions in space
  584.    wt: 1:   3 signed coordinates for maps and planes
  585.    wt: 1:   7 Converting or Changing Units
  586.    wt: 1:   4 Fractions with Units
  587.    wt: 1:   3 Multiplying Units and Numbers
  588.    wt: 1:   2 Equality and Units
  589.    wt: 1:   1 Addition and Subtraction with Units
  590.    wt: 1:   11 Adding Integers Formulas and Examples
  591.    wt: 1:   10 Integer Multiplication Formulas
  592.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  593.    wt: 1:   26 Divisibility by 2 3 5 Example
  594.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  595.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  596.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  597.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  598.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  599.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  600.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  601.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  602.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  603.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  604.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  605.    wt: 1:   2 Prime and Composites less than 16
  606.    wt: 1:   Long Division forwards and backwards Example 3
  607.    wt: 1:   Long Division forwards and backwards Example 2
  608.    wt: 1:   Long Division forwards and backwards Example 1
  609.    wt: 1:   A Elementary Basis for Multiplication Methods
  610.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  611.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  612.    wt: 1:   5 A Tip for Efficent Subtraction
  613.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  614.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  615.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  616.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  617.    wt: 1:   Quick history of numbers and algebra
  618.    wt: 1:   Formula Evaluation how to show work
  619.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  620.    wt: 1:   016 Numbering Occidental Calendar Days
  621.    wt: 1:   6 How long is a million seconds
  622.    wt: 1:   Example 2 volume of a cone
  623.    wt: 1:   Example 1 volume of a pyramid
  624.    wt: 1:   Volume of Solid by Cross Sections Lesson
  625.    wt: 1:   4 Definite Integrals Evaluation Exercises
  626.    wt: 1:   36 Cube root derivative animated
  627.    wt: 1:   28 Chain Rule Preparation for a Proof
  628.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  629.    wt: 1:   26 Chain Rule Recognising outer inner functions
  630.    wt: 1:   25 Chain Rule Animated Examples Continued
  631.    wt: 1:   22 Chain Rule for polynomials
  632.    wt: 1:   21 Chain Rule for powers
  633.    wt: 1:   20 Chain Rule for Pulley Systems
  634.    wt: 1:   19 Chain Rule for linear functions
  635.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  636.    wt: 1:   13 sine and cosine derivatives 1st step
  637.    wt: 1:   10 Power rule for negative integers
  638.    wt: 1:   8 Differentiation of polynomials
  639.    wt: 1:   6 Power rule from product rule
  640.    wt: 1:   3 Motivation for Limit Definition Take 2
  641.    wt: 1:   2 Motivation for Limit Definition Take 1
  642.    wt: 1:   3 Decimal insights for limits continuity convergence
  643.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  644.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  645.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  646.    wt: 1:   D2 Limits of Monotone Sequences
  647.    wt: 1:   PostScript For and Against Decimal Perspectives
  648.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  649.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  650.    wt: 1:   Chapter 23 Links To Trigonometry
  651.    wt: 1:   Chapter 22 Complex Numbers
  652.    wt: 1:   Chapter 21 Arrow Addition
  653.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  654.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  655.    wt: 1:   Chapter 18. Slopes Areas Integration
  656.    wt: 1:   Chapter 17. Area Approximation
  657.    wt: 1:   Chapter 15. Slope Approximation
  658.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  659.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  660.    wt: 1:   Chapter 13. Acceleration
  661.    wt: 1:   Chapter 12. Units and Slopes
  662.    wt: 1:   Chapter 11. Graphing Slope versus Position
  663.    wt: 1:   Chapter 10 Slopes and Units
  664.    wt: 1:   Chapter 9 About First Courses in Calculus
  665.    wt: 1:   Chapter 8. Slope Interpretation
  666.    wt: 1:   Chapter 7 Slopes and Velocity
  667.    wt: 1:   Chapter 5. Slope Sign Tests
  668.    wt: 1:   Chapter 4. More Slope Sign Analysis
  669.    wt: 1:   Chapter 3. Slope Sign Analysis
  670.    wt: 1:   Chapter 2. Slopes and Ski Trails
  671.    wt: 1:   Chapter 1.Introduction
  672.    wt: 1:   Fall 1983 Calculus Appetizer
  673.    wt: 1:   Appendix D. What to do in School and Why
  674.    wt: 1:   Appendix C. How to Read
  675.    wt: 1:   Appendix B. How To Learn
  676.    wt: 1:   Chapter 31 Direct and Indirect Reason
  677.    wt: 1:   Chapter 30 Truth Tables
  678.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  679.    wt: 1:   Chapter 28 Occurrence Tables
  680.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  681.    wt: 1:   Chapter 25. Mathematical Induction Examples
  682.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  683.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  684.    wt: 1:   Chapter 20. Degrees and Radians
  685.    wt: 1:   Chapter 19. Functions and Sets
  686.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  687.    wt: 1:   Chapter 15. Solving Linear Equations
  688.    wt: 1:   Chapter 11. Why Shorthand
  689.    wt: 1:   Chapter 10 Describing and Changing Calculations
  690.    wt: 1:   Postscript What is a Variable
  691.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  692.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  693.    wt: 1:   Chapter 4 Longer Chains of Reason
  694.    wt: 1:   Chapter 3 Chains of Reason
  695.    wt: 1:   Annotated Links to Material Elsehwere
  696.    wt: 1:   Postscript A Three Remarks
  697.    wt: 1:   Chapter 12 Four Phases
  698.    wt: 1:   Chapter 11 Elementary Instruction
  699.    wt: 1:   Chapter 10 Transition
  700.    wt: 1:   Chapter 9 The Two Ends
  701.    wt: 1:   Chapter 8 Modern Instruction
  702.    wt: 1:   Chapter 7 Two Treatments of Geometry
  703.    wt: 1:   Chapter 5 Four References
  704.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  705.    wt: 1:   Chapter 3 Algebra Difficulties
  706.    wt: 1:   Chapter 1 Introduction
  707.    wt: 1:   Postscript C Consistency as a Tool for Reason
  708.    wt: 1:   Postscript B More on Story Telling and Reason
  709.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  710.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  711.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  712.    wt: 1:   Foreword
  713.    wt: 1:   R Why Learn Mathematics Skills
  714.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  715.    wt: 1:   O On Learning Mathematics and Science
  716.    wt: 1:   F. The student teacher tutor feedback loop
  717.    wt: 1:   Chapter 8 Skipped Topics and Why
  718.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  719.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  720.    wt: 1:   Chapter 3 Algebra Starter Lessons
  721.    wt: 1:   Chapter 2 Why Sets
  722.    wt: 1:   Chapter 1 Arithmetic
  723.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  724.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  725.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  726.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  727.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  728.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  729.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  730.    wt: 1:   More Algebra and Slope based Calculus Preview
  731.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  732.    wt: 1:   Systematic Algebra Skill Development Missing Links
  733.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  734.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  735.    wt: 1:   Which Way To Go
  736.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  737.    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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.