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

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

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

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

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

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

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

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

Location: Site Entrance << Search

[1] [2] [3]

Key Word Search

Folder Search

34 matches:

  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/

Web Page Search

259 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:   Postscript For Better Performance
  37.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  38.    wt: 2:   Chapter 18. Rules for Algebra
  39.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  40.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  41.    wt: 2:   Chapter 8 Three Skills For Algebra
  42.    wt: 2:   G. Written work formats for developing and showing skill
  43.    wt: 1:   Ramblings Introduction Algebra Essay
  44.    wt: 1:   Skills Chapter 3 Algebra
  45.    wt: 1:   9 combinatorics probability sets
  46.    wt: 1:   4 algebra
  47.    wt: 1:   three goals to set for students
  48.    wt: 1:   permissions for teachers
  49.    wt: 1:   activities for students
  50.    wt: 1:   Education Reform Inconsistencies
  51.    wt: 1:   talk the algebra talk
  52.    wt: 1:   teaching tutoring algebraic reason
  53.    wt: 1:   Lessening Algebra Difficulties
  54.    wt: 1:   the trouble with algebra
  55.    wt: 1:   three goals for Mathematics Education
  56.    wt: 1:   04 29 New Mathematics Curriculum
  57.    wt: 1:   02 21 words for teachers
  58.    wt: 1:   three aims for mathematics students
  59.    wt: 1:   standards for course material
  60.    wt: 1:   Four ways to improve education reform
  61.    wt: 1:   need for a mixed mathematics curriculum
  62.    wt: 1:   fairness and inductive principles for instruction
  63.    wt: 1:   words for mathematics instructor
  64.    wt: 1:   chapitre 04 09 Regles accidentelles
  65.    wt: 1:   4 Energy Power Heat09
  66.    wt: 1:   C Electromotive force conventional current02
  67.    wt: 1:   B Electromotive force conventional current01
  68.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  69.    wt: 1:   24 Standards For Skill Develoment Take II
  70.    wt: 1:   24 Standards For Skill Develoment
  71.    wt: 1:   22 Student Centered Highschool Mathematics
  72.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  73.    wt: 1:   17 Math Booklets for children and young teenagers
  74.    wt: 1:   15 Counting For Parents
  75.    wt: 1:   12 Goals and Objectives For Mathematics
  76.    wt: 1:   10 Ends values for work study instruction
  77.    wt: 1:   9 Streaming by Student Cooperation
  78.    wt: 1:   5 Patience Please for Yourself and Your Charges
  79.    wt: 1:   4 Learning Takes Time and Effort
  80.    wt: 1:   3 Preparing for Science Studies
  81.    wt: 1:   Ages 9 to 10
  82.    wt: 1:   Ages 8 to 9
  83.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  84.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  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:   .H2 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:   Ends Values Methods For Skill Development Framework Prequel
  256.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  257.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  258.    wt: 1:   More Algebra and Slope based Calculus Preview
  259.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

643 matches:

  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:   Multiple Ways to Improve Mathematics Skill Development
  193.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  194.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  195.    wt: 3:   More Algebra and Slope based Calculus Preview
  196.    wt: 3:   Systematic Algebra Skill Development Missing Links
  197.    wt: 2:   1 Conductance Resistance Duality01
  198.    wt: 2:   H Series Circuit02
  199.    wt: 2:   C Electromotive force conventional current02
  200.    wt: 2:   B Electromotive force conventional current01
  201.    wt: 2:   Home Tutoring and Home Schooling
  202.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  203.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  204.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  205.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  206.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  207.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  208.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  209.    wt: 2:   18 Primary School Mathematics
  210.    wt: 2:   16 Secondary Mathematics Tips
  211.    wt: 2:   14 Multiplication and Times Tables
  212.    wt: 2:   13 Addition and Addition Tables
  213.    wt: 2:   11 Help and Defend Your Child or Teens Education
  214.    wt: 2:   8 The Effect of Negative Remarks
  215.    wt: 2:   7 Student Motivation
  216.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  217.    wt: 2:   2 Reading and Writing Skills
  218.    wt: 2:   1 Speaking Skills
  219.    wt: 2:   Ages 9 to 10
  220.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  221.    wt: 2:   sign monoticity analysis example 4
  222.    wt: 2:   sign monoticity analysis example 3
  223.    wt: 2:   sign monoticity analysis example 2
  224.    wt: 2:   sign monoticity analysis example 1
  225.    wt: 2:   6 Set Existence Formation and Notation
  226.    wt: 2:   3 Formula or function graphing exercise
  227.    wt: 2:   2 Algebraic use of function notation
  228.    wt: 2:   Introduction Reading Guide
  229.    wt: 2:   9 quadratics physical and further context
  230.    wt: 2:   8 quadratics backward use of various formulas
  231.    wt: 2:   7 quadratic formulla derivation
  232.    wt: 2:   8 Notes for instructors or tutors
  233.    wt: 2:   Rewriting algebraic substitution as function substitutions
  234.    wt: 2:   9 motivation for name arcsin
  235.    wt: 2:   8 Radian Measures of Common Angles
  236.    wt: 2:   9 Head to Tail Coordinate View
  237.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  238.    wt: 2:   C Straight Lines Slope from Coordinates
  239.    wt: 2:   B Straight Line Slope Scaling Properties More
  240.    wt: 2:   A Straight Line Slope Scaling Properties
  241.    wt: 2:   14 Straight Lines Equations General Case
  242.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  243.    wt: 2:   12 Straight Lines Graphing mx plus b
  244.    wt: 2:   11 Straight Lines Graphing y=mx
  245.    wt: 2:   10 Straight Lines through Origin Equations More
  246.    wt: 2:   7 Tangent Function is odd on this domain
  247.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  248.    wt: 2:   5 Tangent Function Graph
  249.    wt: 2:   4 Tangent Function Properties
  250.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  251.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  252.    wt: 2:   29 secant cosecant and cotangent for acute angles
  253.    wt: 2:   26 Formulas for products of sines and cosines
  254.    wt: 2:   20 sine and cosine Double Angle Formulas
  255.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  256.    wt: 2:   17E Trig Formulas for dot and cross Products
  257.    wt: 2:   17D cis formulas for sine cosines and tangent
  258.    wt: 2:   12 Graph of tangent function for one period
  259.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  260.    wt: 2:   2 Quadrant I reference Angles
  261.    wt: 2:   1 Unit Points Reflections Rotations
  262.    wt: 2:   19 N th Roots of Unity
  263.    wt: 2:   13 Trig Formulas for dot and cross Products
  264.    wt: 2:   12 cis formulas for sine cosines and tangent
  265.    wt: 2:   9 The complex number valued trig function cis
  266.    wt: 2:   9 Similarity of Triangles Usual Criteria
  267.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  268.    wt: 2:   4 Equations for lines three forms
  269.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  270.    wt: 2:   19 Right Triangle Similarity
  271.    wt: 2:   9 Construction of a right bisector
  272.    wt: 2:   A Signed Number Arithmetic Review
  273.    wt: 2:   19 Signed Multiples of Vectors
  274.    wt: 2:   9 Division with Digits after Decimal Point
  275.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  276.    wt: 2:   E Long Division Methods more
  277.    wt: 2:   D Long Division Methods
  278.    wt: 2:   C Three Decimal Subtraction Methods
  279.    wt: 2:   B Decimal Comparison and Subtraction
  280.    wt: 2:   A Decimal Addition Columm Methods
  281.    wt: 2:   6 Column Methods for Decimal Multiplication
  282.    wt: 2:   5 Distributive Law for Whole Numbers
  283.    wt: 2:   4 Commutative Law Groups Counting Form
  284.    wt: 2:   5 Areas of Rectangles Revisited
  285.    wt: 2:   4 Fraction Operations Axiomatic Development
  286.    wt: 2:   2 Fraction Operations Physical Development
  287.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  288.    wt: 2:   5 Equality in Algebra
  289.    wt: 2:   3 Product Axioms Two Forms
  290.    wt: 2:   2 More and Less Than for Counts and Measures
  291.    wt: 2:   8 Coordinates for Maps and Planes
  292.    wt: 2:   3 Geometric Formulas and Function Notation
  293.    wt: 2:   1 Formulas Dependence and Function Notation
  294.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  295.    wt: 2:   Using Letters for Physical Quantities
  296.    wt: 2:   9 Sets in Probability and Statistics
  297.    wt: 2:   4 A Brief Story of numbers and algebra
  298.    wt: 2:   4 Counting with Trees Product Rule Take I
  299.    wt: 2:   3 Counting with Tables and Trees II
  300.    wt: 2:   2 Counting with Tables and Trees I
  301.    wt: 2:   1 Counting and Counting Methods I
  302.    wt: 2:   9 subtracting signed numbers
  303.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  304.    wt: 2:   9 Multiplying Integers
  305.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  306.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  307.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  308.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  309.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  310.    wt: 2:   19 video Prime Factorization Unique
  311.    wt: 2:   Long Division forwards and backwards Example 1
  312.    wt: 2:   9 Why Long Division Works Take II
  313.    wt: 2:   9 22 Minute Subtraction Review Video
  314.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  315.    wt: 2:   19 Chain Rule for linear functions
  316.    wt: 2:   2 Motivation for Limit Definition Take 1
  317.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  318.    wt: 2:   Chapter 9 About First Courses in Calculus
  319.    wt: 2:   Appendix E. How To Study Mathematics and Why
  320.    wt: 2:   Appendix D. What to do in School and Why
  321.    wt: 2:   Appendix C. How to Read
  322.    wt: 2:   Appendix B. How To Learn
  323.    wt: 2:   Chapter 31 Direct and Indirect Reason
  324.    wt: 2:   Chapter 30 Truth Tables
  325.    wt: 2:   Chapter 28 Occurrence Tables
  326.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  327.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  328.    wt: 2:   Chapter 25. Mathematical Induction Examples
  329.    wt: 2:   Chapter 25. Mathematical Induction Examples
  330.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  331.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  332.    wt: 2:   Chapter 20. Degrees and Radians
  333.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  334.    wt: 2:   Chapter 16. Painless Theorem Proving
  335.    wt: 2:   Chapter 15. Solving Linear Equations
  336.    wt: 2:   Chapter 11. Why Shorthand
  337.    wt: 2:   Chapter 10 Describing and Changing Calculations
  338.    wt: 2:   Chapter 6 Change of Language
  339.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  340.    wt: 2:   Chapter 4 Longer Chains of Reason
  341.    wt: 2:   Chapter 3 Chains of Reason
  342.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  343.    wt: 2:   Chapter 9 The Two Ends
  344.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  345.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  346.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  347.    wt: 2:   N Mathematics Prepare for College Studies
  348.    wt: 2:   I. Logic and language skills
  349.    wt: 2:   Implementation Notes
  350.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  351.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  352.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  353.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  354.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  355.    wt: 2:   Which Way To Go
  356.    wt: 1:   chapitre 04 09 Regles accidentelles
  357.    wt: 1:   3 Energy Power Heat08
  358.    wt: 1:   2 Energy Power Heat07
  359.    wt: 1:   1 Energy Power Heat06
  360.    wt: 1:   E Energy Power05
  361.    wt: 1:   D Energy Power04
  362.    wt: 1:   C Energy Power03
  363.    wt: 1:   B Energy Power02
  364.    wt: 1:   A Energy Power01
  365.    wt: 1:   2 Conductance Resistance Duality02
  366.    wt: 1:   F Wire Resistance Calculation04
  367.    wt: 1:   E Wire Resistance Calculation03
  368.    wt: 1:   D Wire Resistance Calculation02
  369.    wt: 1:   C Wire Resistance Calculation01
  370.    wt: 1:   B Wire Resistance Qualitative02
  371.    wt: 1:   A Wire Resistance Qualitative01
  372.    wt: 1:   3 Like resistors in parallel
  373.    wt: 1:   2 Unlike resistors in parallel01
  374.    wt: 1:   1 Like resistors in series
  375.    wt: 1:   G Series Circuit01
  376.    wt: 1:   F Unlike Resistors in Series
  377.    wt: 1:   E Kirchoffs Second Law
  378.    wt: 1:   D Kirchoff First Law
  379.    wt: 1:   A Circuit Elements
  380.    wt: 1:   Ages 8 to 9
  381.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  382.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  383.    wt: 1:   26 Function definitions done and coming
  384.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  385.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  386.    wt: 1:   23 Inverse Functions
  387.    wt: 1:   22 Square Root function graphically
  388.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  389.    wt: 1:   20 Interchanging coordinates a reflection
  390.    wt: 1:   18 Vertical Line Rule and Method
  391.    wt: 1:   17 Function maxima minima and their location
  392.    wt: 1:   16 Increasing or decreasing on intervals
  393.    wt: 1:   15 Sign analysis of functions
  394.    wt: 1:   14 Surjections Injections Bijections
  395.    wt: 1:   13 From one to one to many to one
  396.    wt: 1:   12 Function Domain Recognition Exercises
  397.    wt: 1:   11 Function Domain Range Source and Targets
  398.    wt: 1:   10 Interval Notation
  399.    wt: 1:   8 Set view of relations and functions
  400.    wt: 1:   7 Functions with finite domains
  401.    wt: 1:   4 Function notation in and beyond mathematics
  402.    wt: 1:   1 Geometric Introduction of Function Notation
  403.    wt: 1:   A Quadratics Summary
  404.    wt: 1:   10 quadratic exercises
  405.    wt: 1:   6 quadratics numerical approach
  406.    wt: 1:   5 quadratics completing the square
  407.    wt: 1:   4 quadratics difference of two squares
  408.    wt: 1:   3 quadratics factoring by inspection
  409.    wt: 1:   2 quadratics graphing in general
  410.    wt: 1:   1 quadratics graphing exercises
  411.    wt: 1:   Quadratics in 10 steps
  412.    wt: 1:   11 Growth and Decay in Biology
  413.    wt: 1:   10 Exponential Growth and Decay Models
  414.    wt: 1:   5 Natural Logarithm Calculator Exercises
  415.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  416.    wt: 1:   2 Square Root Simplification a prequel
  417.    wt: 1:   1 Calculator Starter Exercises
  418.    wt: 1:   7 Links Lessons Elsewhere
  419.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  420.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  421.    wt: 1:   4 Polynomials Long division linear divisor
  422.    wt: 1:   3 Polynomials Multiplication Addition
  423.    wt: 1:   2 Column Multiplication Method
  424.    wt: 1:   1 Polynomials Distributive Law
  425.    wt: 1:   12 motivation for term arctan
  426.    wt: 1:   4 possible motivation for term arccos
  427.    wt: 1:   9 Summary Degrees to Radians and back
  428.    wt: 1:   7 Radian Measures in special Triangles
  429.    wt: 1:   6 Radian Measure to Degrees
  430.    wt: 1:   5 Degrees to Radian Measure
  431.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  432.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  433.    wt: 1:   2 Radian Measure Numerical Value of one degree
  434.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  435.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  436.    wt: 1:   Straight Lines Intersection of
  437.    wt: 1:   17 tangent function angle sum formulas
  438.    wt: 1:   30 unit circle calculation of six trigonometric functions
  439.    wt: 1:   25 tangent double angle formula Slope connection
  440.    wt: 1:   24 tangent Angle Difference Formula
  441.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  442.    wt: 1:   21 sine and cosine Half Angle Formulas
  443.    wt: 1:   17C sine and cosine double triple angle formulas
  444.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  445.    wt: 1:   9 Graphs of sine and cosine over one period
  446.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  447.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  448.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  449.    wt: 1:   11 sine and cosine double triple angle formulas
  450.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  451.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  452.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  453.    wt: 1:   1 Early Concept of Like or Similar Shapes
  454.    wt: 1:   8 Mid Point Formula
  455.    wt: 1:   5 Algebraic View of Slopes
  456.    wt: 1:   3 Slope product for perpendicular lines
  457.    wt: 1:   2 point slope equation for a line
  458.    wt: 1:   13 Pythagorean spatial distance formulas
  459.    wt: 1:   10 Pythagorean plane distance formula
  460.    wt: 1:   PS H Distributive Law For Complex Numbers
  461.    wt: 1:   A Modular and Remainder Arithmetic
  462.    wt: 1:   26 More Less Greater Than Comparison
  463.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  464.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  465.    wt: 1:   23 Distributive Law Two Derivations
  466.    wt: 1:   22 Multiplication of Signed Numbers
  467.    wt: 1:   21 Addition of Multiples of a Single Vector
  468.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  469.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  470.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  471.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  472.    wt: 1:   15 Head to Tails in place Addition Associative
  473.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  474.    wt: 1:   13 Arrows and Vectors in a Plane
  475.    wt: 1:   12 Real Numbers Line Signed Coordinates
  476.    wt: 1:   11 Signed Number Addition and Addition Properties
  477.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  478.    wt: 1:   8 Division and Mulplication of Compound Fractions
  479.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  480.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  481.    wt: 1:   4 Location of Point in Decimal Addition
  482.    wt: 1:   3 Location of Point in Decimal Multiplication
  483.    wt: 1:   2 Counting Digits in Decimal Multiplication
  484.    wt: 1:   1 Fractions with Finite Decimal Expansions
  485.    wt: 1:   8 Column Multiplication Methods in General
  486.    wt: 1:   7 Decimals Multiplication Methods Examples
  487.    wt: 1:   3 Multiplicative Counting Skills Principles
  488.    wt: 1:   2 Combing Counts Addition Skills and Principles
  489.    wt: 1:   1 The Counting Origins of Numbers
  490.    wt: 1:   6 Equations and Systems Equivalent or Implied
  491.    wt: 1:   4 Subtraction and Division Axioms
  492.    wt: 1:   2 Addition and Multiplication Axioms
  493.    wt: 1:   1 Equivalent Computation Rules
  494.    wt: 1:   5 Greater More Less Than Signs in General
  495.    wt: 1:   4 Comparison of Negative Numbers
  496.    wt: 1:   3 More and Less Than with Unlike Signs
  497.    wt: 1:   1 Real Numbers Comparison
  498.    wt: 1:   16 Real Numbers Comparison
  499.    wt: 1:   15 Real Number Division
  500.    wt: 1:   14 Real Number Multiplication
  501.    wt: 1:   13 Real Number Subtraction
  502.    wt: 1:   12 Real Number Additive Inverses or Negatives
  503.    wt: 1:   11 Real Number Addition
  504.    wt: 1:   10 Real Number Lengths and Signs
  505.    wt: 1:   7 Real Numbers as Line Cordinates
  506.    wt: 1:   6 Unsigned Real Numbers
  507.    wt: 1:   5 Rational Numbers More
  508.    wt: 1:   4 Rational Numbers
  509.    wt: 1:   3 Fractions
  510.    wt: 1:   2 Integers
  511.    wt: 1:   1 Whole and Natural Numbers
  512.    wt: 1:   5 Independent versus Dependent Variables
  513.    wt: 1:   4 Changing Letters
  514.    wt: 1:   2 Computation Rules Evaluation
  515.    wt: 1:   More Exercises
  516.    wt: 1:   4 GE III Animated Examples
  517.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  518.    wt: 1:   3 GE III Equation Addition and Multiplication
  519.    wt: 1:   2 GE II Comparison
  520.    wt: 1:   1 GE Substitution four examples
  521.    wt: 1:   4 Solving a triangular system exercise
  522.    wt: 1:   3 Solving triangular system example
  523.    wt: 1:   2 Essentially one exercises three with solution
  524.    wt: 1:   1 Essentially One Unknown
  525.    wt: 1:   Skill Development Notes
  526.    wt: 1:   10 One Example
  527.    wt: 1:   8 One Example
  528.    wt: 1:   7 Two Examples
  529.    wt: 1:   6 Three Examples
  530.    wt: 1:   5 Three Examples
  531.    wt: 1:   4 Two Examples
  532.    wt: 1:   3 Two Examples
  533.    wt: 1:   2 Three Examples
  534.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  535.    wt: 1:   8 Sets of Numbers
  536.    wt: 1:   7 Cautious or Safe Set Construction
  537.    wt: 1:   6 Power Set Notation
  538.    wt: 1:   5 Product Builder Notation
  539.    wt: 1:   4 Subset Builder Notation
  540.    wt: 1:   3 Counting with Sets etc
  541.    wt: 1:   2 Venn Diagrams
  542.    wt: 1:   1 Finite Sets
  543.    wt: 1:   6 Three Notions of What is a Variable
  544.    wt: 1:   5 Talking about Numbers and Quantities
  545.    wt: 1:   3 Adding Words To Arithmetic
  546.    wt: 1:   2 What is a Variable
  547.    wt: 1:   About Folder Contents
  548.    wt: 1:   1 More and Less Than for Counts and Measures
  549.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  550.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  551.    wt: 1:   4 LCM of 8 and 10 via Prime
  552.    wt: 1:   4 signed coordinates for regions in space
  553.    wt: 1:   3 signed coordinates for maps and planes
  554.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  555.    wt: 1:   D Three Term Ratios
  556.    wt: 1:   B Fractions and Two Term Ratios
  557.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  558.    wt: 1:   21 Reciprocals for Fractions and Wholes
  559.    wt: 1:   19 Dividing Fractions How TO
  560.    wt: 1:   16 Addition Subtraction Comparision Compared
  561.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  562.    wt: 1:   13 Fraction Comparison Algebraic View
  563.    wt: 1:   11 Simplification an Algebraic View
  564.    wt: 1:   9 Improper Fractions and Mixed Numbers
  565.    wt: 1:   6 Multiplication Algebraically Take II
  566.    wt: 1:   11 Adding Integers Formulas and Examples
  567.    wt: 1:   10 Integer Multiplication Formulas
  568.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  569.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  570.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  571.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  572.    wt: 1:   5 Remainder Arithmetic Modulo 5
  573.    wt: 1:   16 video Factors of 980 using prime
  574.    wt: 1:   8 video Prime Factorization upto 19
  575.    wt: 1:   3 video Primes and Composites from 9 times table
  576.    wt: 1:   Long Division Backwards more
  577.    wt: 1:   Long Division Backward
  578.    wt: 1:   Long Division forwards and backwards Example 3
  579.    wt: 1:   Long Division forwards and backwards Example 2
  580.    wt: 1:   C Counting Areas with Powers of Ten
  581.    wt: 1:   A Elementary Basis for Multiplication Methods
  582.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  583.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  584.    wt: 1:   Subtraction with J Conversions Example
  585.    wt: 1:   Subtraction Another Video Lesson
  586.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  587.    wt: 1:   5 A Tip for Efficent Subtraction
  588.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  589.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  590.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  591.    wt: 1:   Quick history of numbers and algebra
  592.    wt: 1:   Formula Evaluation how to show work
  593.    wt: 1:   The 12 Times Table Visually
  594.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  595.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  596.    wt: 1:   A Chain Rule Real Player video examples
  597.    wt: 1:   36 Cube root derivative animated
  598.    wt: 1:   29 Chain Rule Optional Reading
  599.    wt: 1:   28 Chain Rule Preparation for a Proof
  600.    wt: 1:   22 Chain Rule for polynomials
  601.    wt: 1:   21 Chain Rule for powers
  602.    wt: 1:   20 Chain Rule for Pulley Systems
  603.    wt: 1:   11 Quotient rule
  604.    wt: 1:   10 Power rule for negative integers
  605.    wt: 1:   9 Reciprocal rule
  606.    wt: 1:   3 Motivation for Limit Definition Take 2
  607.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  608.    wt: 1:   9 Limits Continuity and Composition
  609.    wt: 1:   3 Decimal insights for limits continuity convergence
  610.    wt: 1:   2 Algebraic codification
  611.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  612.    wt: 1:   G.5 Motions With Bounded Velocities
  613.    wt: 1:   F.1 What Functions are Continuous
  614.    wt: 1:   E2 Algebraic Properties of Limits
  615.    wt: 1:   PostScript For and Against Decimal Perspectives
  616.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  617.    wt: 1:   Fall 1983 Calculus Appetizer
  618.    wt: 1:   Foreword
  619.    wt: 1:   Chapter 3 Algebra Difficulties
  620.    wt: 1:   Chapter 2 For and Against Mathematics
  621.    wt: 1:   Foreword
  622.    wt: 1:   Postscript C Consistency as a Tool for Reason
  623.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  624.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  625.    wt: 1:   Foreword
  626.    wt: 1:   R Why Learn Mathematics Skills
  627.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  628.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  629.    wt: 1:   O On Learning Mathematics and Science
  630.    wt: 1:   M Words to extend arithmetic
  631.    wt: 1:   L Skills with take home value
  632.    wt: 1:   N Improving Marks on Tests and Finals
  633.    wt: 1:   J. More on written work and showing skill
  634.    wt: 1:   H more Routine to non routine problem solving
  635.    wt: 1:   H Jigsaw puzzles and problem solving
  636.    wt: 1:   F. The student teacher tutor feedback loop
  637.    wt: 1:   E. When and how to correct errors
  638.    wt: 1:   D. Check work a must with a caution
  639.    wt: 1:   C. Domino effect of being careful
  640.    wt: 1:   B. Domino effect of errors
  641.    wt: 1:   A. Skill has to be seen to believed
  642.    wt: 1:   How to Build Skills and Confidence
  643.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]

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.