Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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20 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 2:   2 Formula Forward Use Evaluation/
  3.    wt: 2:   Volume 2 Three Skills For Algebra/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 1:   Mathematics Education Essays/
  7.    wt: 1:   Volume 1A Regles et modeles/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   9 Proportionality Backwards and Forwards/
  10.    wt: 1:   8 Unifying Theme For Algebra/
  11.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  12.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  13.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  14.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  15.    wt: 1:   Volume 1A Pattern Based Reason/
  16.    wt: 1:   Volume 1 Elements of Reason/
  17.    wt: 1:   Mathematics 506 Lessons/
  18.    wt: 1:   Secondary Mathematics A Practical Approach/
  19.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

219 matches:

  1.    wt: 3:   need for a mixed mathematics curriculum
  2.    wt: 3:   Chapter 2 For and Against Mathematics
  3.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  4.    wt: 2:   mathematics curriculum shifts
  5.    wt: 2:   three goals for Mathematics Education
  6.    wt: 2:   04 29 New Mathematics Curriculum
  7.    wt: 2:   three aims for mathematics students
  8.    wt: 2:   formal or informal peer review
  9.    wt: 2:   Leaner mathematics curriculum
  10.    wt: 2:   Prequel In For A Penny In For A Pound
  11.    wt: 2:   words for mathematics instructor
  12.    wt: 2:   12 Goals and Objectives For Mathematics
  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:   6 Formulas for Even and Odd Roots with Logarithms
  18.    wt: 2:   8 Notes for instructors or tutors
  19.    wt: 2:   26 Formulas for products of sines and cosines
  20.    wt: 2:   17E Trig Formulas for dot and cross Products
  21.    wt: 2:   17D cis formulas for sine cosines and tangent
  22.    wt: 2:   13 Trig Formulas for dot and cross Products
  23.    wt: 2:   12 cis formulas for sine cosines and tangent
  24.    wt: 2:   4 Equations for lines three forms
  25.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  26.    wt: 2:   Formula Usage Show Work Format
  27.    wt: 2:   5 Box Volume Formula Example
  28.    wt: 2:   1 Written work formats for developing and showing skill
  29.    wt: 2:   38 Formulas and derivatives for powers and roots
  30.    wt: 2:   PostScript For and Against Decimal Perspectives
  31.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  32.    wt: 2:   Postscript For Better Performance
  33.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  34.    wt: 2:   N Mathematics Prepare for College Studies
  35.    wt: 2:   G. Written work formats for developing and showing skill
  36.    wt: 1:   E LAMP Introduction Modern Mathematics
  37.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  38.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  39.    wt: 1:   11 pure mathematics
  40.    wt: 1:   three goals to set for students
  41.    wt: 1:   permissions for teachers
  42.    wt: 1:   activities for students
  43.    wt: 1:   key notes and themes
  44.    wt: 1:   Mathematics Education Professors
  45.    wt: 1:   mathematics in context
  46.    wt: 1:   Education Reform Inconsistencies
  47.    wt: 1:   Secondary Three Mathematics
  48.    wt: 1:   Secondary Two Mathematics
  49.    wt: 1:   Secondary One Mathematics
  50.    wt: 1:   geometric implications for algebra
  51.    wt: 1:   02 21 words for teachers
  52.    wt: 1:   02 20 mathematics education references
  53.    wt: 1:   standards for course material
  54.    wt: 1:   mathematics instruction in general
  55.    wt: 1:   Education in mathematics science and technology
  56.    wt: 1:   three kinds of reason in mathematics
  57.    wt: 1:   Four ways to improve education reform
  58.    wt: 1:   fairness and inductive principles for instruction
  59.    wt: 1:   C Electromotive force conventional current02
  60.    wt: 1:   B Electromotive force conventional current01
  61.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  62.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  63.    wt: 1:   24 Standards For Skill Develoment Take II
  64.    wt: 1:   24 Standards For Skill Develoment
  65.    wt: 1:   22 Student Centered Highschool Mathematics
  66.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  67.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  68.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  69.    wt: 1:   18 Primary School Mathematics
  70.    wt: 1:   17 Math Booklets for children and young teenagers
  71.    wt: 1:   16 Secondary Mathematics Tips
  72.    wt: 1:   15 Counting For Parents
  73.    wt: 1:   10 Ends values for work study instruction
  74.    wt: 1:   5 Patience Please for Yourself and Your Charges
  75.    wt: 1:   4 Learning Takes Time and Effort
  76.    wt: 1:   3 Preparing for Science Studies
  77.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  78.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  79.    wt: 1:   6 Set Existence Formation and Notation
  80.    wt: 1:   4 Function notation in and beyond mathematics
  81.    wt: 1:   3 Formula or function graphing exercise
  82.    wt: 1:   8 quadratics backward use of various formulas
  83.    wt: 1:   7 quadratic formulla derivation
  84.    wt: 1:   12 motivation for term arctan
  85.    wt: 1:   9 motivation for name arcsin
  86.    wt: 1:   4 possible motivation for term arccos
  87.    wt: 1:   12 From Applied To Pure Mathematics
  88.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  89.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  90.    wt: 1:   8 Straight Lines Equation for vertical
  91.    wt: 1:   17 tangent function angle sum formulas
  92.    wt: 1:   29 secant cosecant and cotangent for acute angles
  93.    wt: 1:   25 tangent double angle formula Slope connection
  94.    wt: 1:   24 tangent Angle Difference Formula
  95.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  96.    wt: 1:   21 sine and cosine Half Angle Formulas
  97.    wt: 1:   20 sine and cosine Double Angle Formulas
  98.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  99.    wt: 1:   17C sine and cosine double triple angle formulas
  100.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  101.    wt: 1:   12 Graph of tangent function for one period
  102.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  103.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  104.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  105.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  106.    wt: 1:   11 sine and cosine double triple angle formulas
  107.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  108.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  109.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  110.    wt: 1:   8 Mid Point Formula
  111.    wt: 1:   3 Slope product for perpendicular lines
  112.    wt: 1:   2 point slope equation for a line
  113.    wt: 1:   13 Pythagorean spatial distance formulas
  114.    wt: 1:   10 Pythagorean plane distance formula
  115.    wt: 1:   PS H Distributive Law For Complex Numbers
  116.    wt: 1:   6 Column Methods for Decimal Multiplication
  117.    wt: 1:   5 Distributive Law for Whole Numbers
  118.    wt: 1:   4 Commutative Law Groups Counting Form
  119.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  120.    wt: 1:   6 Compound Interest Forward and Backwards
  121.    wt: 1:   5 Triangle Area Formula Backwards
  122.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  123.    wt: 1:   3 Product Axioms Two Forms
  124.    wt: 1:   2 More and Less Than for Counts and Measures
  125.    wt: 1:   9 Coordinates for Regions in Space
  126.    wt: 1:   8 Coordinates for Maps and Planes
  127.    wt: 1:   3 Geometric Formulas and Function Notation
  128.    wt: 1:   1 Formulas Dependence and Function Notation
  129.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  130.    wt: 1:   Skill Development Notes
  131.    wt: 1:   Using Letters for Physical Quantities
  132.    wt: 1:   13 Naming Identifying Formulas with Words
  133.    wt: 1:   11 Volume of Sphere
  134.    wt: 1:   10 Volume of Pyramid
  135.    wt: 1:   9 Volume of Cone
  136.    wt: 1:   8 Compound Interest Formula Evaluation
  137.    wt: 1:   7 Compound Interest Formula Introduction
  138.    wt: 1:   4 Circle Area Formula Example
  139.    wt: 1:   3 Triangle Area Formula Example
  140.    wt: 1:   2 Another Rectangle Area Formula Example
  141.    wt: 1:   1 Three Skills For Algebra
  142.    wt: 1:   arithmetic videos Real Player Format
  143.    wt: 1:   1 More and Less Than for Counts and Measures
  144.    wt: 1:   4 signed coordinates for regions in space
  145.    wt: 1:   3 signed coordinates for maps and planes
  146.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  147.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  148.    wt: 1:   21 Reciprocals for Fractions and Wholes
  149.    wt: 1:   11 Adding Integers Formulas and Examples
  150.    wt: 1:   10 Integer Multiplication Formulas
  151.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  152.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  153.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  154.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  155.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  156.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  157.    wt: 1:   7 Calculator Usage Notes and Cautions
  158.    wt: 1:   Long Division forwards and backwards Example 3
  159.    wt: 1:   Long Division forwards and backwards Example 2
  160.    wt: 1:   Long Division forwards and backwards Example 1
  161.    wt: 1:   A Elementary Basis for Multiplication Methods
  162.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  163.    wt: 1:   5 A Tip for Efficent Subtraction
  164.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  165.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  166.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  167.    wt: 1:   Formula Evaluation how to show work
  168.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  169.    wt: 1:   Example 2 volume of a cone
  170.    wt: 1:   Example 1 volume of a pyramid
  171.    wt: 1:   Volume of Solid by Cross Sections Lesson
  172.    wt: 1:   A Related Material in Volume 3
  173.    wt: 1:   A Related lessons in Volume 3
  174.    wt: 1:   28 Chain Rule Preparation for a Proof
  175.    wt: 1:   22 Chain Rule for polynomials
  176.    wt: 1:   21 Chain Rule for powers
  177.    wt: 1:   20 Chain Rule for Pulley Systems
  178.    wt: 1:   19 Chain Rule for linear functions
  179.    wt: 1:   10 Power rule for negative integers
  180.    wt: 1:   3 Motivation for Limit Definition Take 2
  181.    wt: 1:   2 Motivation for Limit Definition Take 1
  182.    wt: 1:   3 Decimal insights for limits continuity convergence
  183.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  184.    wt: 1:   Foreword
  185.    wt: 1:   Postscript More on Better Performance
  186.    wt: 1:   Appendix E. How To Study Mathematics and Why
  187.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  188.    wt: 1:   Chapter 23. Notation For Sums
  189.    wt: 1:   Chapter 18. Rules for Algebra
  190.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  191.    wt: 1:   Chapter 8 Three Skills For Algebra
  192.    wt: 1:   Solutions For Arithmetic Exercises
  193.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  194.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  195.    wt: 1:   Foreword
  196.    wt: 1:   Postscript B Mathematics Education References
  197.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  198.    wt: 1:   Foreword
  199.    wt: 1:   Postscript C Consistency as a Tool for Reason
  200.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  201.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  202.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  203.    wt: 1:   Foreword
  204.    wt: 1:   R Why Learn Mathematics Skills
  205.    wt: 1:   O On Learning Mathematics and Science
  206.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  207.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  208.    wt: 1:   7 Games and Activities for Instruction
  209.    wt: 1:   Helping the Blind in Logic and Mathematics
  210.    wt: 1:   Mathematics Education References
  211.    wt: 1:   Mathematics Education References
  212.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  213.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  214.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  215.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  216.    wt: 1:   Implementation Notes
  217.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  218.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  219.    wt: 1:   The Math Forum and Site Content

Extended Search

476 matches:

  1.    wt: 9:   Chapter 2 For and Against Mathematics
  2.    wt: 7:   Postscript B Mathematics Education References
  3.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  4.    wt: 7:   Foreword
  5.    wt: 6:   Annotated Links to Material Elsehwere
  6.    wt: 6:   Postscript A Three Remarks
  7.    wt: 6:   Chapter 12 Four Phases
  8.    wt: 6:   Chapter 11 Elementary Instruction
  9.    wt: 6:   Chapter 10 Transition
  10.    wt: 6:   Chapter 9 The Two Ends
  11.    wt: 6:   Chapter 8 Modern Instruction
  12.    wt: 6:   Chapter 7 Two Treatments of Geometry
  13.    wt: 6:   Chapter 5 Four References
  14.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  15.    wt: 6:   Chapter 3 Algebra Difficulties
  16.    wt: 6:   Chapter 1 Introduction
  17.    wt: 4:   need for a mixed mathematics curriculum
  18.    wt: 4:   5 Box Volume Formula Example
  19.    wt: 4:   1 Written work formats for developing and showing skill
  20.    wt: 4:   Postscript For Better Performance
  21.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  22.    wt: 3:   mathematics curriculum shifts
  23.    wt: 3:   three goals for Mathematics Education
  24.    wt: 3:   04 29 New Mathematics Curriculum
  25.    wt: 3:   three aims for mathematics students
  26.    wt: 3:   formal or informal peer review
  27.    wt: 3:   Leaner mathematics curriculum
  28.    wt: 3:   Prequel In For A Penny In For A Pound
  29.    wt: 3:   words for mathematics instructor
  30.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  31.    wt: 3:   13 Naming Identifying Formulas with Words
  32.    wt: 3:   11 Volume of Sphere
  33.    wt: 3:   10 Volume of Pyramid
  34.    wt: 3:   9 Volume of Cone
  35.    wt: 3:   8 Compound Interest Formula Evaluation
  36.    wt: 3:   7 Compound Interest Formula Introduction
  37.    wt: 3:   4 Circle Area Formula Example
  38.    wt: 3:   3 Triangle Area Formula Example
  39.    wt: 3:   2 Another Rectangle Area Formula Example
  40.    wt: 3:   PostScript For and Against Decimal Perspectives
  41.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  42.    wt: 3:   Postscript More on Better Performance
  43.    wt: 3:   Appendix E. How To Study Mathematics and Why
  44.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  45.    wt: 3:   Chapter 23. Notation For Sums
  46.    wt: 3:   Chapter 18. Rules for Algebra
  47.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  48.    wt: 3:   Chapter 8 Three Skills For Algebra
  49.    wt: 3:   Solutions For Arithmetic Exercises
  50.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  51.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  52.    wt: 3:   Foreword
  53.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  54.    wt: 2:   E LAMP Introduction Modern Mathematics
  55.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  56.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  57.    wt: 2:   11 pure mathematics
  58.    wt: 2:   three goals to set for students
  59.    wt: 2:   permissions for teachers
  60.    wt: 2:   activities for students
  61.    wt: 2:   key notes and themes
  62.    wt: 2:   Mathematics Education Professors
  63.    wt: 2:   mathematics in context
  64.    wt: 2:   Education Reform Inconsistencies
  65.    wt: 2:   Secondary Three Mathematics
  66.    wt: 2:   Secondary Two Mathematics
  67.    wt: 2:   Secondary One Mathematics
  68.    wt: 2:   geometric implications for algebra
  69.    wt: 2:   02 21 words for teachers
  70.    wt: 2:   02 20 mathematics education references
  71.    wt: 2:   standards for course material
  72.    wt: 2:   mathematics instruction in general
  73.    wt: 2:   Education in mathematics science and technology
  74.    wt: 2:   three kinds of reason in mathematics
  75.    wt: 2:   Four ways to improve education reform
  76.    wt: 2:   fairness and inductive principles for instruction
  77.    wt: 2:   12 Goals and Objectives For Mathematics
  78.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  79.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  80.    wt: 2:   5 Function notation for geometric transformations
  81.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  82.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  83.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  84.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  85.    wt: 2:   8 Notes for instructors or tutors
  86.    wt: 2:   26 Formulas for products of sines and cosines
  87.    wt: 2:   17E Trig Formulas for dot and cross Products
  88.    wt: 2:   17D cis formulas for sine cosines and tangent
  89.    wt: 2:   13 Trig Formulas for dot and cross Products
  90.    wt: 2:   12 cis formulas for sine cosines and tangent
  91.    wt: 2:   4 Equations for lines three forms
  92.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  93.    wt: 2:   6 Compound Interest Forward and Backwards
  94.    wt: 2:   5 Triangle Area Formula Backwards
  95.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  96.    wt: 2:   Formula Usage Show Work Format
  97.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  98.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  99.    wt: 2:   Example 2 volume of a cone
  100.    wt: 2:   Example 1 volume of a pyramid
  101.    wt: 2:   Volume of Solid by Cross Sections Lesson
  102.    wt: 2:   38 Formulas and derivatives for powers and roots
  103.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  104.    wt: 2:   Foreword
  105.    wt: 2:   Appendix D. What to do in School and Why
  106.    wt: 2:   Appendix C. How to Read
  107.    wt: 2:   Appendix B. How To Learn
  108.    wt: 2:   Chapter 31 Direct and Indirect Reason
  109.    wt: 2:   Chapter 30 Truth Tables
  110.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  111.    wt: 2:   Chapter 28 Occurrence Tables
  112.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  113.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  114.    wt: 2:   Chapter 25. Mathematical Induction Examples
  115.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  116.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  117.    wt: 2:   Chapter 21. Third Reading Guide
  118.    wt: 2:   Chapter 20. Degrees and Radians
  119.    wt: 2:   Chapter 19. Functions and Sets
  120.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  121.    wt: 2:   Chapter 16. Painless Theorem Proving
  122.    wt: 2:   Chapter 15. Solving Linear Equations
  123.    wt: 2:   Chapter 13. Second Reading Guide
  124.    wt: 2:   Chapter 12. Shorthand Usage Guide
  125.    wt: 2:   Chapter 11. Why Shorthand
  126.    wt: 2:   Chapter 10 Describing and Changing Calculations
  127.    wt: 2:   Postscript What is a Variable
  128.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  129.    wt: 2:   Chapter 6 Change of Language
  130.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  131.    wt: 2:   Chapter 4 Longer Chains of Reason
  132.    wt: 2:   Chapter 3 Chains of Reason
  133.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  134.    wt: 2:   Postscript C Consistency as a Tool for Reason
  135.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  136.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  137.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  138.    wt: 2:   Foreword
  139.    wt: 2:   N Mathematics Prepare for College Studies
  140.    wt: 2:   G. Written work formats for developing and showing skill
  141.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  142.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  143.    wt: 2:   7 Games and Activities for Instruction
  144.    wt: 2:   Helping the Blind in Logic and Mathematics
  145.    wt: 2:   Mathematics Education References
  146.    wt: 2:   Mathematics Education References
  147.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  148.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  149.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  150.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  151.    wt: 2:   Implementation Notes
  152.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  153.    wt: 1:   Appendix 2 primary school Arithmetic 01
  154.    wt: 1:   Appendix 1 primary and preschool mathematic
  155.    wt: 1:   K LAMP Musings Science Education
  156.    wt: 1:   J LAMP Introduction Extrinsic Origins
  157.    wt: 1:   I LAMP Introduction Study Habits
  158.    wt: 1:   H LAMP Introduction Instructional Concepts
  159.    wt: 1:   G LAMP Introduction Problem Solving Skills
  160.    wt: 1:   F LAMP Introduction Prerequisites
  161.    wt: 1:   A Introduction Objectives
  162.    wt: 1:   Skills Chapter 5 Calculus
  163.    wt: 1:   Skills Chapter 4 Logic
  164.    wt: 1:   Ramblings Extrinsic numbers theory
  165.    wt: 1:   Ramblings Introduction Algebra Essay
  166.    wt: 1:   Skills Chapter 3 Algebra
  167.    wt: 1:   Skills Chapter 2 Geometry
  168.    wt: 1:   Skills Chapter 1 Arithmetic
  169.    wt: 1:   Skills Chapter 0 Introduction
  170.    wt: 1:   10 statistics
  171.    wt: 1:   9 combinatorics probability sets
  172.    wt: 1:   8 analytic geometry etc
  173.    wt: 1:   7 logic review and decimals an odd combination
  174.    wt: 1:   6 polynomials etc
  175.    wt: 1:   5 logarithms and exponentials etc
  176.    wt: 1:   4 algebra
  177.    wt: 1:   3 Euclidean Geometry Leanly
  178.    wt: 1:   2 arithmetic with signed numbers
  179.    wt: 1:   1 arithmetic with unsigned numbers
  180.    wt: 1:   What is POMME
  181.    wt: 1:   why bother
  182.    wt: 1:   which way to go
  183.    wt: 1:   website reviews
  184.    wt: 1:   Teach the teachers plus goals
  185.    wt: 1:   Math Ed if it must be short make it lean effective
  186.    wt: 1:   Applied Maths Program14092009 POMME variant
  187.    wt: 1:   links Education Resources online
  188.    wt: 1:   site origins
  189.    wt: 1:   site eurekas
  190.    wt: 1:   About site lesson plans
  191.    wt: 1:   teacher certification
  192.    wt: 1:   modern education
  193.    wt: 1:   learning takes time
  194.    wt: 1:   grouping students according to ability
  195.    wt: 1:   what should be learnt and When
  196.    wt: 1:   Postscript 2007 01 10
  197.    wt: 1:   five decades make a difference
  198.    wt: 1:   Maps Plans Drawings
  199.    wt: 1:   how letters appear
  200.    wt: 1:   talk the algebra talk
  201.    wt: 1:   three difficulties
  202.    wt: 1:   teaching tips
  203.    wt: 1:   What to Tell Students
  204.    wt: 1:   teaching tutoring algebraic reason
  205.    wt: 1:   Lessening Algebra Difficulties
  206.    wt: 1:   the trouble with algebra
  207.    wt: 1:   05 13 OldSiteEntrancePage
  208.    wt: 1:   04 25 when to stop or suspend mathemat
  209.    wt: 1:   Operational Viewpoint to Value
  210.    wt: 1:   Theory of Knowledge
  211.    wt: 1:   Different Kinds of Reasoning in maths
  212.    wt: 1:   cultivating intelligence
  213.    wt: 1:   How to be a better instructor
  214.    wt: 1:   Motivation and Context Problem
  215.    wt: 1:   education an empirical art
  216.    wt: 1:   chapitre 12 00 les iles et division
  217.    wt: 1:   chapitre 07 01 principle D induction mathematique
  218.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  219.    wt: 1:   chapitre 06 00 Chaines de la raison
  220.    wt: 1:   chapitre 05 00 Deception
  221.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  222.    wt: 1:   chapitre 04 09 Regles accidentelles
  223.    wt: 1:   chapitre 04 08 Limitations et benefices
  224.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  225.    wt: 1:   chapitre 04 06 engagements
  226.    wt: 1:   chapitre 04 05 Implication versus suggestion
  227.    wt: 1:   chapitre 04 04 Parlons de la logique
  228.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  229.    wt: 1:   chapitre 04 02 Deuxieme enigme
  230.    wt: 1:   chapitre 04 01 Premiere enigme
  231.    wt: 1:   chapitre 04 00 Les regles d implication
  232.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  233.    wt: 1:   chapitre 02 00 La Communication des idees
  234.    wt: 1:   chapitre 01 00 Introduction
  235.    wt: 1:   C Electromotive force conventional current02
  236.    wt: 1:   B Electromotive force conventional current01
  237.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  238.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  239.    wt: 1:   24 Standards For Skill Develoment Take II
  240.    wt: 1:   24 Standards For Skill Develoment
  241.    wt: 1:   22 Student Centered Highschool Mathematics
  242.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  243.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  244.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  245.    wt: 1:   18 Primary School Mathematics
  246.    wt: 1:   17 Math Booklets for children and young teenagers
  247.    wt: 1:   16 Secondary Mathematics Tips
  248.    wt: 1:   15 Counting For Parents
  249.    wt: 1:   10 Ends values for work study instruction
  250.    wt: 1:   5 Patience Please for Yourself and Your Charges
  251.    wt: 1:   4 Learning Takes Time and Effort
  252.    wt: 1:   3 Preparing for Science Studies
  253.    wt: 1:   Ages 12 to 14 Skills with take home value
  254.    wt: 1:   Ages 12 to 14 Geometry
  255.    wt: 1:   Ages 12 to 14 Arithmetic
  256.    wt: 1:   Ages 10 to 12 Geometry
  257.    wt: 1:   Ages 10 to 12 Arithmetic
  258.    wt: 1:   Ages 9 to 10
  259.    wt: 1:   Ages 8 to 9
  260.    wt: 1:   Ages 7 to 8
  261.    wt: 1:   Ages 6 to 7
  262.    wt: 1:   Ages 4 plus to 5 plus
  263.    wt: 1:   Ages 3 plus to 4 plus
  264.    wt: 1:   6 Set Existence Formation and Notation
  265.    wt: 1:   4 Function notation in and beyond mathematics
  266.    wt: 1:   3 Formula or function graphing exercise
  267.    wt: 1:   8 quadratics backward use of various formulas
  268.    wt: 1:   7 quadratic formulla derivation
  269.    wt: 1:   12 motivation for term arctan
  270.    wt: 1:   9 motivation for name arcsin
  271.    wt: 1:   4 possible motivation for term arccos
  272.    wt: 1:   12 From Applied To Pure Mathematics
  273.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  274.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  275.    wt: 1:   8 Straight Lines Equation for vertical
  276.    wt: 1:   17 tangent function angle sum formulas
  277.    wt: 1:   29 secant cosecant and cotangent for acute angles
  278.    wt: 1:   25 tangent double angle formula Slope connection
  279.    wt: 1:   24 tangent Angle Difference Formula
  280.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  281.    wt: 1:   21 sine and cosine Half Angle Formulas
  282.    wt: 1:   20 sine and cosine Double Angle Formulas
  283.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  284.    wt: 1:   17C sine and cosine double triple angle formulas
  285.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  286.    wt: 1:   12 Graph of tangent function for one period
  287.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  288.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  289.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  290.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  291.    wt: 1:   11 sine and cosine double triple angle formulas
  292.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  293.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  294.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  295.    wt: 1:   8 Mid Point Formula
  296.    wt: 1:   3 Slope product for perpendicular lines
  297.    wt: 1:   2 point slope equation for a line
  298.    wt: 1:   13 Pythagorean spatial distance formulas
  299.    wt: 1:   10 Pythagorean plane distance formula
  300.    wt: 1:   PS H Distributive Law For Complex Numbers
  301.    wt: 1:   6 Column Methods for Decimal Multiplication
  302.    wt: 1:   5 Distributive Law for Whole Numbers
  303.    wt: 1:   4 Commutative Law Groups Counting Form
  304.    wt: 1:   5 Proportionality in Equivalent Fractions
  305.    wt: 1:   4 Rates Ratios and Proporitionality
  306.    wt: 1:   3 Proportionality Examples
  307.    wt: 1:   2 Algebraic View
  308.    wt: 1:   1 What is Proportionality
  309.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  310.    wt: 1:   3 Linear Equation Literal Solution More
  311.    wt: 1:   2 Linear Equation Literal Solution
  312.    wt: 1:   1 Changing Calculations
  313.    wt: 1:   3 Product Axioms Two Forms
  314.    wt: 1:   2 More and Less Than for Counts and Measures
  315.    wt: 1:   9 Coordinates for Regions in Space
  316.    wt: 1:   8 Coordinates for Maps and Planes
  317.    wt: 1:   3 Geometric Formulas and Function Notation
  318.    wt: 1:   1 Formulas Dependence and Function Notation
  319.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  320.    wt: 1:   6 Algebraic Solution Example
  321.    wt: 1:   5 Algebraic Solutions Introduction
  322.    wt: 1:   4 Four Examples Fractional Coefficients
  323.    wt: 1:   3 Four Examples
  324.    wt: 1:   2 Three Examples
  325.    wt: 1:   1 Proper Equal Sign Usage
  326.    wt: 1:   Skill Development Notes
  327.    wt: 1:   Using Letters for Physical Quantities
  328.    wt: 1:   1 Three Skills For Algebra
  329.    wt: 1:   arithmetic videos Real Player Format
  330.    wt: 1:   1 More and Less Than for Counts and Measures
  331.    wt: 1:   4 signed coordinates for regions in space
  332.    wt: 1:   3 signed coordinates for maps and planes
  333.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  334.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  335.    wt: 1:   21 Reciprocals for Fractions and Wholes
  336.    wt: 1:   11 Adding Integers Formulas and Examples
  337.    wt: 1:   10 Integer Multiplication Formulas
  338.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  339.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  340.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  341.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  342.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  343.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  344.    wt: 1:   7 Calculator Usage Notes and Cautions
  345.    wt: 1:   Long Division forwards and backwards Example 3
  346.    wt: 1:   Long Division forwards and backwards Example 2
  347.    wt: 1:   Long Division forwards and backwards Example 1
  348.    wt: 1:   A Elementary Basis for Multiplication Methods
  349.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  350.    wt: 1:   5 A Tip for Efficent Subtraction
  351.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  352.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  353.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  354.    wt: 1:   Formula Evaluation how to show work
  355.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  356.    wt: 1:   Example 1. Area Between x and x squared
  357.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  358.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  359.    wt: 1:   Example 4 with x function of y
  360.    wt: 1:   Example 3
  361.    wt: 1:   Example 2
  362.    wt: 1:   Example 1
  363.    wt: 1:   Area Between Curves Lesson Take 2
  364.    wt: 1:   Area Between Curves Lesson Take 1
  365.    wt: 1:   Summary
  366.    wt: 1:   A Related Material in Volume 3
  367.    wt: 1:   A Related lessons in Volume 3
  368.    wt: 1:   28 Chain Rule Preparation for a Proof
  369.    wt: 1:   22 Chain Rule for polynomials
  370.    wt: 1:   21 Chain Rule for powers
  371.    wt: 1:   20 Chain Rule for Pulley Systems
  372.    wt: 1:   19 Chain Rule for linear functions
  373.    wt: 1:   10 Power rule for negative integers
  374.    wt: 1:   3 Motivation for Limit Definition Take 2
  375.    wt: 1:   2 Motivation for Limit Definition Take 1
  376.    wt: 1:   3 Decimal insights for limits continuity convergence
  377.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  378.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  379.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  380.    wt: 1:   G.5 Motions With Bounded Velocities
  381.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  382.    wt: 1:   G.3 Constant Difference Theorem Proof
  383.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  384.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  385.    wt: 1:   F.5b Extreme Value Theorem
  386.    wt: 1:   F.5a Equicontinuity Theorems
  387.    wt: 1:   F.4 Finite Covering Theorem
  388.    wt: 1:   F.3 Intermediate Value Theorem
  389.    wt: 1:   F.2 Closed Range Theorem
  390.    wt: 1:   F.1 What Functions are Continuous
  391.    wt: 1:   E2 Algebraic Properties of Limits
  392.    wt: 1:   E1 Error Control Inequalities
  393.    wt: 1:   D2 Limits of Monotone Sequences
  394.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  395.    wt: 1:   C Triangle Inequalities
  396.    wt: 1:   B3 Bolzano Weierstrass Theorem
  397.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  398.    wt: 1:   A1. Introduction
  399.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  400.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  401.    wt: 1:   Chapter 23 Links To Trigonometry
  402.    wt: 1:   Chapter 22 Complex Numbers
  403.    wt: 1:   Chapter 21 Arrow Addition
  404.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  405.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  406.    wt: 1:   Chapter 18. Slopes Areas Integration
  407.    wt: 1:   Chapter 17. Area Approximation
  408.    wt: 1:   Chapter 16. Velocity Approximation
  409.    wt: 1:   Chapter 15. Slope Approximation
  410.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  411.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  412.    wt: 1:   Chapter 13. Acceleration
  413.    wt: 1:   Chapter 12. Units and Slopes
  414.    wt: 1:   Chapter 11. Graphing Slope versus Position
  415.    wt: 1:   Chapter 10 Slopes and Units
  416.    wt: 1:   Chapter 9 About First Courses in Calculus
  417.    wt: 1:   Chapter 8. Slope Interpretation
  418.    wt: 1:   Chapter 7 Slopes and Velocity
  419.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  420.    wt: 1:   Chapter 5. Slope Sign Tests
  421.    wt: 1:   Chapter 4. More Slope Sign Analysis
  422.    wt: 1:   Chapter 3. Slope Sign Analysis
  423.    wt: 1:   Chapter 2. Slopes and Ski Trails
  424.    wt: 1:   Chapter 1.Introduction
  425.    wt: 1:   Fall 1983 Calculus Appetizer
  426.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  427.    wt: 1:   Postscript B More on Story Telling and Reason
  428.    wt: 1:   Postscript A Story Telling
  429.    wt: 1:   Chapter 24 Direct and Indirect Reason
  430.    wt: 1:   Chapter 23 Truth Tables
  431.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  432.    wt: 1:   Chapter 21 Occurrence Tables
  433.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  434.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  435.    wt: 1:   Chapter 18 Sense and Knowledge
  436.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  437.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  438.    wt: 1:   Chapter 15 Objective Processes
  439.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  440.    wt: 1:   Chapter 11 Accidental Patterns
  441.    wt: 1:   Chapter 10 Responsibility
  442.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  443.    wt: 1:   Chapter 8 Change of Language
  444.    wt: 1:   Chapter 7 Longer Chains of Reason
  445.    wt: 1:   Chapter 6 Chains of Reason
  446.    wt: 1:   Chapter 5 Deception
  447.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  448.    wt: 1:   Chapter 2 Skill Development
  449.    wt: 1:   Chapter 1 Introduction
  450.    wt: 1:   Three Remarks
  451.    wt: 1:   R Why Learn Mathematics Skills
  452.    wt: 1:   O On Learning Mathematics and Science
  453.    wt: 1:   Chapter 8 Skipped Topics and Why
  454.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  455.    wt: 1:   Chapter 6 More Algebra and Geometry
  456.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  457.    wt: 1:   Chapter 3 Algebra Starter Lessons
  458.    wt: 1:   Chapter 2 Why Sets
  459.    wt: 1:   Chapter 1 Arithmetic
  460.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  461.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  462.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  463.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  464.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  465.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  466.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  467.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  468.    wt: 1:   More Algebra and Slope based Calculus Preview
  469.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  470.    wt: 1:   Systematic Algebra Skill Development Missing Links
  471.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  472.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  473.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  474.    wt: 1:   Which Way To Go
  475.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  476.    wt: 1:   The Math Forum and Site Content

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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