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.

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  1.    wt: 2:   Parent Center/
  2.    wt: 2:   2 Formula Forward Use Evaluation/
  3.    wt: 1:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  5.    wt: 1:   Mathematics Education Essays/
  6.    wt: 1:   Mathematics Skills Year by Year/
  7.    wt: 1:   9 Proportionality Backwards and Forwards/
  8.    wt: 1:   8 Unifying Theme For Algebra/
  9.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 1:   Volume 2 Three Skills For Algebra/
  11.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  12.    wt: 1:   Work and Study Tips/
  13.    wt: 1:   Mathematics 506 Lessons/
  14.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

201 matches:

  1.    wt: 3:   16 Secondary Mathematics Tips
  2.    wt: 2:   Secondary Three Mathematics
  3.    wt: 2:   Secondary Two Mathematics
  4.    wt: 2:   Secondary One Mathematics
  5.    wt: 2:   three goals for Mathematics Education
  6.    wt: 2:   three aims for mathematics students
  7.    wt: 2:   formal or informal peer review
  8.    wt: 2:   need for a mixed mathematics curriculum
  9.    wt: 2:   Prequel In For A Penny In For A Pound
  10.    wt: 2:   words for mathematics instructor
  11.    wt: 2:   22 Student Centered Highschool Mathematics
  12.    wt: 2:   15 Counting For Parents
  13.    wt: 2:   12 Goals and Objectives For Mathematics
  14.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  15.    wt: 2:   5 Function notation for geometric transformations
  16.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  17.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  18.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  19.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  20.    wt: 2:   26 Formulas for products of sines and cosines
  21.    wt: 2:   17E Trig Formulas for dot and cross Products
  22.    wt: 2:   17D cis formulas for sine cosines and tangent
  23.    wt: 2:   13 Trig Formulas for dot and cross Products
  24.    wt: 2:   12 cis formulas for sine cosines and tangent
  25.    wt: 2:   4 Equations for lines three forms
  26.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  27.    wt: 2:   Formula Usage Show Work Format
  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 Better Performance
  31.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  32.    wt: 2:   Chapter 2 For and Against Mathematics
  33.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  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:   11 pure mathematics
  39.    wt: 1:   three goals to set for students
  40.    wt: 1:   permissions for teachers
  41.    wt: 1:   activities for students
  42.    wt: 1:   Mathematics Education Professors
  43.    wt: 1:   mathematics in context
  44.    wt: 1:   Education Reform Inconsistencies
  45.    wt: 1:   teaching tips
  46.    wt: 1:   mathematics curriculum shifts
  47.    wt: 1:   geometric implications for algebra
  48.    wt: 1:   04 29 New Mathematics Curriculum
  49.    wt: 1:   02 21 words for teachers
  50.    wt: 1:   02 20 mathematics education references
  51.    wt: 1:   standards for course material
  52.    wt: 1:   mathematics instruction in general
  53.    wt: 1:   Education in mathematics science and technology
  54.    wt: 1:   three kinds of reason in mathematics
  55.    wt: 1:   Four ways to improve education reform
  56.    wt: 1:   Leaner mathematics curriculum
  57.    wt: 1:   fairness and inductive principles for instruction
  58.    wt: 1:   C Electromotive force conventional current02
  59.    wt: 1:   B Electromotive force conventional current01
  60.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  61.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  62.    wt: 1:   24 Standards For Skill Develoment Take II
  63.    wt: 1:   24 Standards For Skill Develoment
  64.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  65.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  66.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  67.    wt: 1:   18 Primary School Mathematics
  68.    wt: 1:   17 Math Booklets for children and young teenagers
  69.    wt: 1:   10 Ends values for work study instruction
  70.    wt: 1:   5 Patience Please for Yourself and Your Charges
  71.    wt: 1:   4 Learning Takes Time and Effort
  72.    wt: 1:   3 Preparing for Science Studies
  73.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  74.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  75.    wt: 1:   6 Set Existence Formation and Notation
  76.    wt: 1:   4 Function notation in and beyond mathematics
  77.    wt: 1:   3 Formula or function graphing exercise
  78.    wt: 1:   8 quadratics backward use of various formulas
  79.    wt: 1:   7 quadratic formulla derivation
  80.    wt: 1:   8 Notes for instructors or tutors
  81.    wt: 1:   12 motivation for term arctan
  82.    wt: 1:   9 motivation for name arcsin
  83.    wt: 1:   4 possible motivation for term arccos
  84.    wt: 1:   12 From Applied To Pure Mathematics
  85.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  86.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  87.    wt: 1:   8 Straight Lines Equation for vertical
  88.    wt: 1:   17 tangent function angle sum formulas
  89.    wt: 1:   29 secant cosecant and cotangent for acute angles
  90.    wt: 1:   25 tangent double angle formula Slope connection
  91.    wt: 1:   24 tangent Angle Difference Formula
  92.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  93.    wt: 1:   21 sine and cosine Half Angle Formulas
  94.    wt: 1:   20 sine and cosine Double Angle Formulas
  95.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  96.    wt: 1:   17C sine and cosine double triple angle formulas
  97.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  98.    wt: 1:   12 Graph of tangent function for one period
  99.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  100.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  101.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  102.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  103.    wt: 1:   11 sine and cosine double triple angle formulas
  104.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  105.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  106.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  107.    wt: 1:   8 Mid Point Formula
  108.    wt: 1:   3 Slope product for perpendicular lines
  109.    wt: 1:   2 point slope equation for a line
  110.    wt: 1:   13 Pythagorean spatial distance formulas
  111.    wt: 1:   10 Pythagorean plane distance formula
  112.    wt: 1:   PS H Distributive Law For Complex Numbers
  113.    wt: 1:   6 Column Methods for Decimal Multiplication
  114.    wt: 1:   5 Distributive Law for Whole Numbers
  115.    wt: 1:   4 Commutative Law Groups Counting Form
  116.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  117.    wt: 1:   6 Compound Interest Forward and Backwards
  118.    wt: 1:   5 Triangle Area Formula Backwards
  119.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  120.    wt: 1:   3 Product Axioms Two Forms
  121.    wt: 1:   2 More and Less Than for Counts and Measures
  122.    wt: 1:   9 Coordinates for Regions in Space
  123.    wt: 1:   8 Coordinates for Maps and Planes
  124.    wt: 1:   3 Geometric Formulas and Function Notation
  125.    wt: 1:   1 Formulas Dependence and Function Notation
  126.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  127.    wt: 1:   Using Letters for Physical Quantities
  128.    wt: 1:   13 Naming Identifying Formulas with Words
  129.    wt: 1:   8 Compound Interest Formula Evaluation
  130.    wt: 1:   7 Compound Interest Formula Introduction
  131.    wt: 1:   5 Box Volume Formula Example
  132.    wt: 1:   4 Circle Area Formula Example
  133.    wt: 1:   3 Triangle Area Formula Example
  134.    wt: 1:   2 Another Rectangle Area Formula Example
  135.    wt: 1:   1 Three Skills For Algebra
  136.    wt: 1:   arithmetic videos Real Player Format
  137.    wt: 1:   1 More and Less Than for Counts and Measures
  138.    wt: 1:   4 signed coordinates for regions in space
  139.    wt: 1:   3 signed coordinates for maps and planes
  140.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  141.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  142.    wt: 1:   21 Reciprocals for Fractions and Wholes
  143.    wt: 1:   11 Adding Integers Formulas and Examples
  144.    wt: 1:   10 Integer Multiplication Formulas
  145.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  146.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  147.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  148.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  149.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  150.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  151.    wt: 1:   Long Division forwards and backwards Example 3
  152.    wt: 1:   Long Division forwards and backwards Example 2
  153.    wt: 1:   Long Division forwards and backwards Example 1
  154.    wt: 1:   A Elementary Basis for Multiplication Methods
  155.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  156.    wt: 1:   5 A Tip for Efficent Subtraction
  157.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  158.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  159.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  160.    wt: 1:   Formula Evaluation how to show work
  161.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  162.    wt: 1:   28 Chain Rule Preparation for a Proof
  163.    wt: 1:   22 Chain Rule for polynomials
  164.    wt: 1:   21 Chain Rule for powers
  165.    wt: 1:   20 Chain Rule for Pulley Systems
  166.    wt: 1:   19 Chain Rule for linear functions
  167.    wt: 1:   10 Power rule for negative integers
  168.    wt: 1:   3 Motivation for Limit Definition Take 2
  169.    wt: 1:   2 Motivation for Limit Definition Take 1
  170.    wt: 1:   3 Decimal insights for limits continuity convergence
  171.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  172.    wt: 1:   PostScript For and Against Decimal Perspectives
  173.    wt: 1:   Foreword
  174.    wt: 1:   Postscript More on Better Performance
  175.    wt: 1:   Appendix E. How To Study Mathematics and Why
  176.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  177.    wt: 1:   Chapter 23. Notation For Sums
  178.    wt: 1:   Chapter 18. Rules for Algebra
  179.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  180.    wt: 1:   Chapter 8 Three Skills For Algebra
  181.    wt: 1:   Solutions For Arithmetic Exercises
  182.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  183.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  184.    wt: 1:   Foreword
  185.    wt: 1:   Postscript B Mathematics Education References
  186.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  187.    wt: 1:   Foreword
  188.    wt: 1:   Postscript C Consistency as a Tool for Reason
  189.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  190.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  191.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  192.    wt: 1:   Foreword
  193.    wt: 1:   R Why Learn Mathematics Skills
  194.    wt: 1:   O On Learning Mathematics and Science
  195.    wt: 1:   Helping the Blind in Logic and Mathematics
  196.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  197.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  198.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  199.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  200.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  201.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

378 matches:

  1.    wt: 5:   16 Secondary Mathematics Tips
  2.    wt: 4:   22 Student Centered Highschool Mathematics
  3.    wt: 4:   15 Counting For Parents
  4.    wt: 4:   12 Goals and Objectives For Mathematics
  5.    wt: 4:   1 Written work formats for developing and showing skill
  6.    wt: 3:   Secondary Three Mathematics
  7.    wt: 3:   Secondary Two Mathematics
  8.    wt: 3:   Secondary One Mathematics
  9.    wt: 3:   three goals for Mathematics Education
  10.    wt: 3:   three aims for mathematics students
  11.    wt: 3:   formal or informal peer review
  12.    wt: 3:   need for a mixed mathematics curriculum
  13.    wt: 3:   Prequel In For A Penny In For A Pound
  14.    wt: 3:   words for mathematics instructor
  15.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  16.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  17.    wt: 3:   24 Standards For Skill Develoment Take II
  18.    wt: 3:   24 Standards For Skill Develoment
  19.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  20.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  21.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  22.    wt: 3:   18 Primary School Mathematics
  23.    wt: 3:   17 Math Booklets for children and young teenagers
  24.    wt: 3:   10 Ends values for work study instruction
  25.    wt: 3:   5 Patience Please for Yourself and Your Charges
  26.    wt: 3:   4 Learning Takes Time and Effort
  27.    wt: 3:   3 Preparing for Science Studies
  28.    wt: 3:   Objectives for Mathematics and Logic Language Skill Development
  29.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  30.    wt: 3:   13 Naming Identifying Formulas with Words
  31.    wt: 3:   8 Compound Interest Formula Evaluation
  32.    wt: 3:   7 Compound Interest Formula Introduction
  33.    wt: 3:   5 Box Volume Formula Example
  34.    wt: 3:   4 Circle Area Formula Example
  35.    wt: 3:   3 Triangle Area Formula Example
  36.    wt: 3:   2 Another Rectangle Area Formula Example
  37.    wt: 3:   Postscript For Better Performance
  38.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  39.    wt: 3:   Chapter 2 For and Against Mathematics
  40.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  41.    wt: 3:   N Mathematics Prepare for College Studies
  42.    wt: 3:   G. Written work formats for developing and showing skill
  43.    wt: 2:   E LAMP Introduction Modern Mathematics
  44.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  45.    wt: 2:   11 pure mathematics
  46.    wt: 2:   three goals to set for students
  47.    wt: 2:   permissions for teachers
  48.    wt: 2:   activities for students
  49.    wt: 2:   Mathematics Education Professors
  50.    wt: 2:   mathematics in context
  51.    wt: 2:   Education Reform Inconsistencies
  52.    wt: 2:   teaching tips
  53.    wt: 2:   mathematics curriculum shifts
  54.    wt: 2:   geometric implications for algebra
  55.    wt: 2:   04 29 New Mathematics Curriculum
  56.    wt: 2:   02 21 words for teachers
  57.    wt: 2:   02 20 mathematics education references
  58.    wt: 2:   standards for course material
  59.    wt: 2:   mathematics instruction in general
  60.    wt: 2:   Education in mathematics science and technology
  61.    wt: 2:   three kinds of reason in mathematics
  62.    wt: 2:   Four ways to improve education reform
  63.    wt: 2:   Leaner mathematics curriculum
  64.    wt: 2:   fairness and inductive principles for instruction
  65.    wt: 2:   Home Tutoring and Home Schooling
  66.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  67.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  68.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  69.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  70.    wt: 2:   14 Multiplication and Times Tables
  71.    wt: 2:   13 Addition and Addition Tables
  72.    wt: 2:   11 Help and Defend Your Child or Teens Education
  73.    wt: 2:   9 Streaming by Student Cooperation
  74.    wt: 2:   8 The Effect of Negative Remarks
  75.    wt: 2:   7 Student Motivation
  76.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  77.    wt: 2:   2 Reading and Writing Skills
  78.    wt: 2:   1 Speaking Skills
  79.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  80.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  81.    wt: 2:   5 Function notation for geometric transformations
  82.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  83.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  84.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  85.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  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:   11 Volume of Sphere
  99.    wt: 2:   10 Volume of Pyramid
  100.    wt: 2:   9 Volume of Cone
  101.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  102.    wt: 2:   38 Formulas and derivatives for powers and roots
  103.    wt: 2:   Postscript More on Better Performance
  104.    wt: 2:   Appendix E. How To Study Mathematics and Why
  105.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  106.    wt: 2:   Chapter 23. Notation For Sums
  107.    wt: 2:   Chapter 18. Rules for Algebra
  108.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  109.    wt: 2:   Chapter 8 Three Skills For Algebra
  110.    wt: 2:   Solutions For Arithmetic Exercises
  111.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  112.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  113.    wt: 2:   Foreword
  114.    wt: 2:   Postscript B Mathematics Education References
  115.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  116.    wt: 2:   Foreword
  117.    wt: 2:   R Why Learn Mathematics Skills
  118.    wt: 2:   O On Learning Mathematics and Science
  119.    wt: 2:   Helping the Blind in Logic and Mathematics
  120.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  121.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  122.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  123.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  124.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  125.    wt: 1:   Appendix 2 primary school Arithmetic 01
  126.    wt: 1:   Appendix 1 primary and preschool mathematic
  127.    wt: 1:   K LAMP Musings Science Education
  128.    wt: 1:   J LAMP Introduction Extrinsic Origins
  129.    wt: 1:   I LAMP Introduction Study Habits
  130.    wt: 1:   H LAMP Introduction Instructional Concepts
  131.    wt: 1:   G LAMP Introduction Problem Solving Skills
  132.    wt: 1:   F LAMP Introduction Prerequisites
  133.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  134.    wt: 1:   A Introduction Objectives
  135.    wt: 1:   Skills Chapter 5 Calculus
  136.    wt: 1:   Skills Chapter 4 Logic
  137.    wt: 1:   Ramblings Extrinsic numbers theory
  138.    wt: 1:   Ramblings Introduction Algebra Essay
  139.    wt: 1:   Skills Chapter 3 Algebra
  140.    wt: 1:   Skills Chapter 2 Geometry
  141.    wt: 1:   Skills Chapter 1 Arithmetic
  142.    wt: 1:   Skills Chapter 0 Introduction
  143.    wt: 1:   10 statistics
  144.    wt: 1:   9 combinatorics probability sets
  145.    wt: 1:   8 analytic geometry etc
  146.    wt: 1:   7 logic review and decimals an odd combination
  147.    wt: 1:   6 polynomials etc
  148.    wt: 1:   5 logarithms and exponentials etc
  149.    wt: 1:   4 algebra
  150.    wt: 1:   3 Euclidean Geometry Leanly
  151.    wt: 1:   2 arithmetic with signed numbers
  152.    wt: 1:   1 arithmetic with unsigned numbers
  153.    wt: 1:   What is POMME
  154.    wt: 1:   why bother
  155.    wt: 1:   which way to go
  156.    wt: 1:   website reviews
  157.    wt: 1:   Teach the teachers plus goals
  158.    wt: 1:   Math Ed if it must be short make it lean effective
  159.    wt: 1:   Applied Maths Program14092009 POMME variant
  160.    wt: 1:   links Education Resources online
  161.    wt: 1:   site origins
  162.    wt: 1:   site eurekas
  163.    wt: 1:   About site lesson plans
  164.    wt: 1:   key notes and themes
  165.    wt: 1:   teacher certification
  166.    wt: 1:   modern education
  167.    wt: 1:   learning takes time
  168.    wt: 1:   grouping students according to ability
  169.    wt: 1:   what should be learnt and When
  170.    wt: 1:   Postscript 2007 01 10
  171.    wt: 1:   five decades make a difference
  172.    wt: 1:   Maps Plans Drawings
  173.    wt: 1:   how letters appear
  174.    wt: 1:   talk the algebra talk
  175.    wt: 1:   three difficulties
  176.    wt: 1:   What to Tell Students
  177.    wt: 1:   teaching tutoring algebraic reason
  178.    wt: 1:   Lessening Algebra Difficulties
  179.    wt: 1:   the trouble with algebra
  180.    wt: 1:   05 13 OldSiteEntrancePage
  181.    wt: 1:   04 25 when to stop or suspend mathemat
  182.    wt: 1:   Operational Viewpoint to Value
  183.    wt: 1:   Theory of Knowledge
  184.    wt: 1:   Different Kinds of Reasoning in maths
  185.    wt: 1:   cultivating intelligence
  186.    wt: 1:   How to be a better instructor
  187.    wt: 1:   Motivation and Context Problem
  188.    wt: 1:   education an empirical art
  189.    wt: 1:   C Electromotive force conventional current02
  190.    wt: 1:   B Electromotive force conventional current01
  191.    wt: 1:   Ages 12 to 14 Skills with take home value
  192.    wt: 1:   Ages 12 to 14 Geometry
  193.    wt: 1:   Ages 12 to 14 Arithmetic
  194.    wt: 1:   Ages 10 to 12 Geometry
  195.    wt: 1:   Ages 10 to 12 Arithmetic
  196.    wt: 1:   Ages 9 to 10
  197.    wt: 1:   Ages 8 to 9
  198.    wt: 1:   Ages 7 to 8
  199.    wt: 1:   Ages 6 to 7
  200.    wt: 1:   Ages 4 plus to 5 plus
  201.    wt: 1:   Ages 3 plus to 4 plus
  202.    wt: 1:   6 Set Existence Formation and Notation
  203.    wt: 1:   4 Function notation in and beyond mathematics
  204.    wt: 1:   3 Formula or function graphing exercise
  205.    wt: 1:   8 quadratics backward use of various formulas
  206.    wt: 1:   7 quadratic formulla derivation
  207.    wt: 1:   8 Notes for instructors or tutors
  208.    wt: 1:   12 motivation for term arctan
  209.    wt: 1:   9 motivation for name arcsin
  210.    wt: 1:   4 possible motivation for term arccos
  211.    wt: 1:   12 From Applied To Pure Mathematics
  212.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  213.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  214.    wt: 1:   8 Straight Lines Equation for vertical
  215.    wt: 1:   17 tangent function angle sum formulas
  216.    wt: 1:   29 secant cosecant and cotangent for acute angles
  217.    wt: 1:   25 tangent double angle formula Slope connection
  218.    wt: 1:   24 tangent Angle Difference Formula
  219.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  220.    wt: 1:   21 sine and cosine Half Angle Formulas
  221.    wt: 1:   20 sine and cosine Double Angle Formulas
  222.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  223.    wt: 1:   17C sine and cosine double triple angle formulas
  224.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  225.    wt: 1:   12 Graph of tangent function for one period
  226.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  227.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  228.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  229.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  230.    wt: 1:   11 sine and cosine double triple angle formulas
  231.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  232.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  233.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  234.    wt: 1:   8 Mid Point Formula
  235.    wt: 1:   3 Slope product for perpendicular lines
  236.    wt: 1:   2 point slope equation for a line
  237.    wt: 1:   13 Pythagorean spatial distance formulas
  238.    wt: 1:   10 Pythagorean plane distance formula
  239.    wt: 1:   PS H Distributive Law For Complex Numbers
  240.    wt: 1:   6 Column Methods for Decimal Multiplication
  241.    wt: 1:   5 Distributive Law for Whole Numbers
  242.    wt: 1:   4 Commutative Law Groups Counting Form
  243.    wt: 1:   5 Proportionality in Equivalent Fractions
  244.    wt: 1:   4 Rates Ratios and Proporitionality
  245.    wt: 1:   3 Proportionality Examples
  246.    wt: 1:   2 Algebraic View
  247.    wt: 1:   1 What is Proportionality
  248.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  249.    wt: 1:   3 Linear Equation Literal Solution More
  250.    wt: 1:   2 Linear Equation Literal Solution
  251.    wt: 1:   1 Changing Calculations
  252.    wt: 1:   3 Product Axioms Two Forms
  253.    wt: 1:   2 More and Less Than for Counts and Measures
  254.    wt: 1:   9 Coordinates for Regions in Space
  255.    wt: 1:   8 Coordinates for Maps and Planes
  256.    wt: 1:   3 Geometric Formulas and Function Notation
  257.    wt: 1:   1 Formulas Dependence and Function Notation
  258.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  259.    wt: 1:   6 Algebraic Solution Example
  260.    wt: 1:   5 Algebraic Solutions Introduction
  261.    wt: 1:   4 Four Examples Fractional Coefficients
  262.    wt: 1:   3 Four Examples
  263.    wt: 1:   2 Three Examples
  264.    wt: 1:   1 Proper Equal Sign Usage
  265.    wt: 1:   Using Letters for Physical Quantities
  266.    wt: 1:   1 Three Skills For Algebra
  267.    wt: 1:   arithmetic videos Real Player Format
  268.    wt: 1:   1 More and Less Than for Counts and Measures
  269.    wt: 1:   4 signed coordinates for regions in space
  270.    wt: 1:   3 signed coordinates for maps and planes
  271.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  272.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  273.    wt: 1:   21 Reciprocals for Fractions and Wholes
  274.    wt: 1:   11 Adding Integers Formulas and Examples
  275.    wt: 1:   10 Integer Multiplication Formulas
  276.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  277.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  278.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  279.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  280.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  281.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  282.    wt: 1:   Long Division forwards and backwards Example 3
  283.    wt: 1:   Long Division forwards and backwards Example 2
  284.    wt: 1:   Long Division forwards and backwards Example 1
  285.    wt: 1:   A Elementary Basis for Multiplication Methods
  286.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  287.    wt: 1:   5 A Tip for Efficent Subtraction
  288.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  289.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  290.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  291.    wt: 1:   Formula Evaluation how to show work
  292.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  293.    wt: 1:   28 Chain Rule Preparation for a Proof
  294.    wt: 1:   22 Chain Rule for polynomials
  295.    wt: 1:   21 Chain Rule for powers
  296.    wt: 1:   20 Chain Rule for Pulley Systems
  297.    wt: 1:   19 Chain Rule for linear functions
  298.    wt: 1:   10 Power rule for negative integers
  299.    wt: 1:   3 Motivation for Limit Definition Take 2
  300.    wt: 1:   2 Motivation for Limit Definition Take 1
  301.    wt: 1:   3 Decimal insights for limits continuity convergence
  302.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  303.    wt: 1:   PostScript For and Against Decimal Perspectives
  304.    wt: 1:   Foreword
  305.    wt: 1:   Appendix D. What to do in School and Why
  306.    wt: 1:   Appendix C. How to Read
  307.    wt: 1:   Appendix B. How To Learn
  308.    wt: 1:   Chapter 31 Direct and Indirect Reason
  309.    wt: 1:   Chapter 30 Truth Tables
  310.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  311.    wt: 1:   Chapter 28 Occurrence Tables
  312.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  313.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  314.    wt: 1:   Chapter 25. Mathematical Induction Examples
  315.    wt: 1:   Chapter 25. Mathematical Induction Examples
  316.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  317.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  318.    wt: 1:   Chapter 21. Third Reading Guide
  319.    wt: 1:   Chapter 20. Degrees and Radians
  320.    wt: 1:   Chapter 19. Functions and Sets
  321.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  322.    wt: 1:   Chapter 16. Painless Theorem Proving
  323.    wt: 1:   Chapter 15. Solving Linear Equations
  324.    wt: 1:   Chapter 13. Second Reading Guide
  325.    wt: 1:   Chapter 12. Shorthand Usage Guide
  326.    wt: 1:   Chapter 11. Why Shorthand
  327.    wt: 1:   Chapter 10 Describing and Changing Calculations
  328.    wt: 1:   Postscript What is a Variable
  329.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  330.    wt: 1:   Chapter 6 Change of Language
  331.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  332.    wt: 1:   Chapter 4 Longer Chains of Reason
  333.    wt: 1:   Chapter 3 Chains of Reason
  334.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  335.    wt: 1:   Annotated Links to Material Elsehwere
  336.    wt: 1:   Postscript A Three Remarks
  337.    wt: 1:   Chapter 12 Four Phases
  338.    wt: 1:   Chapter 11 Elementary Instruction
  339.    wt: 1:   Chapter 10 Transition
  340.    wt: 1:   Chapter 9 The Two Ends
  341.    wt: 1:   Chapter 8 Modern Instruction
  342.    wt: 1:   Chapter 7 Two Treatments of Geometry
  343.    wt: 1:   Chapter 5 Four References
  344.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  345.    wt: 1:   Chapter 3 Algebra Difficulties
  346.    wt: 1:   Chapter 1 Introduction
  347.    wt: 1:   Postscript C Consistency as a Tool for Reason
  348.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  349.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  350.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  351.    wt: 1:   Foreword
  352.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  353.    wt: 1:   S Adding words to algebra
  354.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  355.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  356.    wt: 1:   M Words to extend arithmetic
  357.    wt: 1:   L Skills with take home value
  358.    wt: 1:   N Improving Marks on Tests and Finals
  359.    wt: 1:   J. More on written work and showing skill
  360.    wt: 1:   I. Logic and language skills
  361.    wt: 1:   H more Routine to non routine problem solving
  362.    wt: 1:   H Jigsaw puzzles and problem solving
  363.    wt: 1:   F. The student teacher tutor feedback loop
  364.    wt: 1:   E. When and how to correct errors
  365.    wt: 1:   D. Check work a must with a caution
  366.    wt: 1:   C. Domino effect of being careful
  367.    wt: 1:   B. Domino effect of errors
  368.    wt: 1:   A. Skill has to be seen to believed
  369.    wt: 1:   How to Build Skills and Confidence
  370.    wt: 1:   Implementation Notes
  371.    wt: 1:   More Algebra and Slope based Calculus Preview
  372.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  373.    wt: 1:   Systematic Algebra Skill Development Missing Links
  374.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  375.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  376.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  377.    wt: 1:   Which Way To Go
  378.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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.

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6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
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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.

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6 Trigonometry first steps
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11 Parallel Straight Lines and Transversals
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13 Vectors
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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.

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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.

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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
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1 Maps + Plans Use
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3 Rct +Polr Coordinates
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5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
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What is a Variable
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