Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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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13 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Archives/
  6.    wt: 1:   Volume 1A Regles et modeles/
  7.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 1:   B Real Numbers Extrinsic Development/
  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:   Volume 2 Three Skills For Algebra/
  13.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

204 matches:

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

Extended Search

406 matches:

  1.    wt: 6:   Education Reform Inconsistencies
  2.    wt: 6:   three goals for Mathematics Education
  3.    wt: 6:   formal or informal peer review
  4.    wt: 6:   Four ways to improve education reform
  5.    wt: 6:   Prequel In For A Penny In For A Pound
  6.    wt: 5:   three goals to set for students
  7.    wt: 5:   permissions for teachers
  8.    wt: 5:   activities for students
  9.    wt: 5:   links Education Resources online
  10.    wt: 5:   Mathematics Education Professors
  11.    wt: 5:   modern education
  12.    wt: 5:   geometric implications for algebra
  13.    wt: 5:   02 21 words for teachers
  14.    wt: 5:   02 20 mathematics education references
  15.    wt: 5:   three aims for mathematics students
  16.    wt: 5:   standards for course material
  17.    wt: 5:   Education in mathematics science and technology
  18.    wt: 5:   need for a mixed mathematics curriculum
  19.    wt: 5:   education an empirical art
  20.    wt: 5:   fairness and inductive principles for instruction
  21.    wt: 5:   words for mathematics instructor
  22.    wt: 4:   why bother
  23.    wt: 4:   which way to go
  24.    wt: 4:   website reviews
  25.    wt: 4:   Teach the teachers plus goals
  26.    wt: 4:   Math Ed if it must be short make it lean effective
  27.    wt: 4:   Applied Maths Program14092009 POMME variant
  28.    wt: 4:   site origins
  29.    wt: 4:   site eurekas
  30.    wt: 4:   About site lesson plans
  31.    wt: 4:   key notes and themes
  32.    wt: 4:   teacher certification
  33.    wt: 4:   learning takes time
  34.    wt: 4:   grouping students according to ability
  35.    wt: 4:   what should be learnt and When
  36.    wt: 4:   mathematics in context
  37.    wt: 4:   Postscript 2007 01 10
  38.    wt: 4:   five decades make a difference
  39.    wt: 4:   Maps Plans Drawings
  40.    wt: 4:   how letters appear
  41.    wt: 4:   Secondary Three Mathematics
  42.    wt: 4:   Secondary Two Mathematics
  43.    wt: 4:   Secondary One Mathematics
  44.    wt: 4:   talk the algebra talk
  45.    wt: 4:   three difficulties
  46.    wt: 4:   teaching tips
  47.    wt: 4:   What to Tell Students
  48.    wt: 4:   mathematics curriculum shifts
  49.    wt: 4:   teaching tutoring algebraic reason
  50.    wt: 4:   Lessening Algebra Difficulties
  51.    wt: 4:   the trouble with algebra
  52.    wt: 4:   05 13 OldSiteEntrancePage
  53.    wt: 4:   04 29 New Mathematics Curriculum
  54.    wt: 4:   04 25 when to stop or suspend mathemat
  55.    wt: 4:   Operational Viewpoint to Value
  56.    wt: 4:   Theory of Knowledge
  57.    wt: 4:   mathematics instruction in general
  58.    wt: 4:   Different Kinds of Reasoning in maths
  59.    wt: 4:   three kinds of reason in mathematics
  60.    wt: 4:   cultivating intelligence
  61.    wt: 4:   How to be a better instructor
  62.    wt: 4:   Motivation and Context Problem
  63.    wt: 4:   Leaner mathematics curriculum
  64.    wt: 4:   1 Written work formats for developing and showing skill
  65.    wt: 3:   3 Euclidean Geometry Leanly
  66.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  67.    wt: 3:   13 Naming Identifying Formulas with Words
  68.    wt: 3:   8 Compound Interest Formula Evaluation
  69.    wt: 3:   7 Compound Interest Formula Introduction
  70.    wt: 3:   5 Box Volume Formula Example
  71.    wt: 3:   4 Circle Area Formula Example
  72.    wt: 3:   3 Triangle Area Formula Example
  73.    wt: 3:   2 Another Rectangle Area Formula Example
  74.    wt: 3:   Postscript For Better Performance
  75.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  76.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  77.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  78.    wt: 2:   K LAMP Musings Science Education
  79.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  80.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  81.    wt: 2:   11 pure mathematics
  82.    wt: 2:   10 statistics
  83.    wt: 2:   9 combinatorics probability sets
  84.    wt: 2:   8 analytic geometry etc
  85.    wt: 2:   7 logic review and decimals an odd combination
  86.    wt: 2:   6 polynomials etc
  87.    wt: 2:   5 logarithms and exponentials etc
  88.    wt: 2:   4 algebra
  89.    wt: 2:   2 arithmetic with signed numbers
  90.    wt: 2:   1 arithmetic with unsigned numbers
  91.    wt: 2:   What is POMME
  92.    wt: 2:   5 Function notation for geometric transformations
  93.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  94.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  95.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  96.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  97.    wt: 2:   26 Formulas for products of sines and cosines
  98.    wt: 2:   17E Trig Formulas for dot and cross Products
  99.    wt: 2:   17D cis formulas for sine cosines and tangent
  100.    wt: 2:   13 Trig Formulas for dot and cross Products
  101.    wt: 2:   12 cis formulas for sine cosines and tangent
  102.    wt: 2:   4 Equations for lines three forms
  103.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  104.    wt: 2:   PS H Distributive Law For Complex Numbers
  105.    wt: 2:   Short Course on Euclidean Geometry
  106.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  107.    wt: 2:   6 Compound Interest Forward and Backwards
  108.    wt: 2:   5 Triangle Area Formula Backwards
  109.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  110.    wt: 2:   Formula Usage Show Work Format
  111.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  112.    wt: 2:   11 Volume of Sphere
  113.    wt: 2:   10 Volume of Pyramid
  114.    wt: 2:   9 Volume of Cone
  115.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  116.    wt: 2:   38 Formulas and derivatives for powers and roots
  117.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  118.    wt: 2:   Postscript More on Better Performance
  119.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  120.    wt: 2:   Chapter 23. Notation For Sums
  121.    wt: 2:   Chapter 18. Rules for Algebra
  122.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  123.    wt: 2:   Chapter 8 Three Skills For Algebra
  124.    wt: 2:   Solutions For Arithmetic Exercises
  125.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  126.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  127.    wt: 2:   Foreword
  128.    wt: 2:   G. Written work formats for developing and showing skill
  129.    wt: 2:   Mathematics Education References
  130.    wt: 2:   Mathematics Education References
  131.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  132.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  133.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  134.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  135.    wt: 2:   Systematic Algebra Skill Development Missing Links
  136.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  137.    wt: 1:   Appendix 2 primary school Arithmetic 01
  138.    wt: 1:   Appendix 1 primary and preschool mathematic
  139.    wt: 1:   J LAMP Introduction Extrinsic Origins
  140.    wt: 1:   I LAMP Introduction Study Habits
  141.    wt: 1:   H LAMP Introduction Instructional Concepts
  142.    wt: 1:   G LAMP Introduction Problem Solving Skills
  143.    wt: 1:   F LAMP Introduction Prerequisites
  144.    wt: 1:   E LAMP Introduction Modern Mathematics
  145.    wt: 1:   A Introduction Objectives
  146.    wt: 1:   Skills Chapter 5 Calculus
  147.    wt: 1:   Skills Chapter 4 Logic
  148.    wt: 1:   Ramblings Extrinsic numbers theory
  149.    wt: 1:   Ramblings Introduction Algebra Essay
  150.    wt: 1:   Skills Chapter 3 Algebra
  151.    wt: 1:   Skills Chapter 2 Geometry
  152.    wt: 1:   Skills Chapter 1 Arithmetic
  153.    wt: 1:   Skills Chapter 0 Introduction
  154.    wt: 1:   chapitre 12 00 les iles et division
  155.    wt: 1:   chapitre 07 01 principle D induction mathematique
  156.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  157.    wt: 1:   chapitre 06 00 Chaines de la raison
  158.    wt: 1:   chapitre 05 00 Deception
  159.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  160.    wt: 1:   chapitre 04 09 Regles accidentelles
  161.    wt: 1:   chapitre 04 08 Limitations et benefices
  162.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  163.    wt: 1:   chapitre 04 06 engagements
  164.    wt: 1:   chapitre 04 05 Implication versus suggestion
  165.    wt: 1:   chapitre 04 04 Parlons de la logique
  166.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  167.    wt: 1:   chapitre 04 02 Deuxieme enigme
  168.    wt: 1:   chapitre 04 01 Premiere enigme
  169.    wt: 1:   chapitre 04 00 Les regles d implication
  170.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  171.    wt: 1:   chapitre 02 00 La Communication des idees
  172.    wt: 1:   chapitre 01 00 Introduction
  173.    wt: 1:   C Electromotive force conventional current02
  174.    wt: 1:   B Electromotive force conventional current01
  175.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  176.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  177.    wt: 1:   24 Standards For Skill Develoment Take II
  178.    wt: 1:   24 Standards For Skill Develoment
  179.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  180.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  181.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  182.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  183.    wt: 1:   17 Math Booklets for children and young teenagers
  184.    wt: 1:   15 Counting For Parents
  185.    wt: 1:   12 Goals and Objectives For Mathematics
  186.    wt: 1:   11 Help and Defend Your Child or Teens Education
  187.    wt: 1:   10 Ends values for work study instruction
  188.    wt: 1:   5 Patience Please for Yourself and Your Charges
  189.    wt: 1:   4 Learning Takes Time and Effort
  190.    wt: 1:   3 Preparing for Science Studies
  191.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  192.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  193.    wt: 1:   6 Set Existence Formation and Notation
  194.    wt: 1:   3 Formula or function graphing exercise
  195.    wt: 1:   8 quadratics backward use of various formulas
  196.    wt: 1:   7 quadratic formulla derivation
  197.    wt: 1:   10 Exponential Growth and Decay Models
  198.    wt: 1:   8 Notes for instructors or tutors
  199.    wt: 1:   12 motivation for term arctan
  200.    wt: 1:   9 motivation for name arcsin
  201.    wt: 1:   4 possible motivation for term arccos
  202.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  203.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  204.    wt: 1:   8 Straight Lines Equation for vertical
  205.    wt: 1:   17 tangent function angle sum formulas
  206.    wt: 1:   29 secant cosecant and cotangent for acute angles
  207.    wt: 1:   25 tangent double angle formula Slope connection
  208.    wt: 1:   24 tangent Angle Difference Formula
  209.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  210.    wt: 1:   21 sine and cosine Half Angle Formulas
  211.    wt: 1:   20 sine and cosine Double Angle Formulas
  212.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  213.    wt: 1:   17C sine and cosine double triple angle formulas
  214.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  215.    wt: 1:   12 Graph of tangent function for one period
  216.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  217.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  218.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  219.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  220.    wt: 1:   Unit Circle Development of Trigonometry
  221.    wt: 1:   11 sine and cosine double triple angle formulas
  222.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  223.    wt: 1:   8 Unit Circle Development of Trigonometry
  224.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  225.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  226.    wt: 1:   8 Mid Point Formula
  227.    wt: 1:   3 Slope product for perpendicular lines
  228.    wt: 1:   2 point slope equation for a line
  229.    wt: 1:   13 Pythagorean spatial distance formulas
  230.    wt: 1:   10 Pythagorean plane distance formula
  231.    wt: 1:   PS G Rotation Distributes over Addition
  232.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  233.    wt: 1:   PS E Multiplication with Polar Coordinates
  234.    wt: 1:   PS D Addition with Cartesian Coordinates
  235.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  236.    wt: 1:   PS B Parallelogram Construction Methods
  237.    wt: 1:   PS A Kite Construction Methods
  238.    wt: 1:   21 Parallelograms
  239.    wt: 1:   19 Right Triangle Similarity
  240.    wt: 1:   18 Triangle Similarity Take 1
  241.    wt: 1:   17 Right Bisectors of Triangle Sides
  242.    wt: 1:   16 Angles Subtended By Chords and Diameters
  243.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  244.    wt: 1:   14 Parallel Lines Postulate
  245.    wt: 1:   13 Angle Side Angle Failure
  246.    wt: 1:   12 Side Angle Side Failure
  247.    wt: 1:   11 Triangle Construction Fails
  248.    wt: 1:   10 Dropping a perpendicular to line
  249.    wt: 1:   9 Construction of a right bisector
  250.    wt: 1:   8 Isoceles Triangles
  251.    wt: 1:   7 Angle Side Angle
  252.    wt: 1:   6 Ruler and compass Angle Bisection
  253.    wt: 1:   5 Side Angle Side
  254.    wt: 1:   4 Side Side Side
  255.    wt: 1:   3 Isometry of Triangles Congruence
  256.    wt: 1:   2 Correspondence between Triangles
  257.    wt: 1:   1 Initial Concepts and Terms
  258.    wt: 1:   musings do not puiblish real numbers
  259.    wt: 1:   A Modular and Remainder Arithmetic
  260.    wt: 1:   A Signed Number Arithmetic Review
  261.    wt: 1:   26 More Less Greater Than Comparison
  262.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  263.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  264.    wt: 1:   23 Distributive Law Two Derivations
  265.    wt: 1:   22 Multiplication of Signed Numbers
  266.    wt: 1:   21 Addition of Multiples of a Single Vector
  267.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  268.    wt: 1:   19 Signed Multiples of Vectors
  269.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  270.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  271.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  272.    wt: 1:   15 Head to Tails in place Addition Associative
  273.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  274.    wt: 1:   13 Arrows and Vectors in a Plane
  275.    wt: 1:   12 Real Numbers Line Signed Coordinates
  276.    wt: 1:   11 Signed Number Addition and Addition Properties
  277.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  278.    wt: 1:   9 Division with Digits after Decimal Point
  279.    wt: 1:   8 Division and Mulplication of Compound Fractions
  280.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  281.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  282.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  283.    wt: 1:   4 Location of Point in Decimal Addition
  284.    wt: 1:   3 Location of Point in Decimal Multiplication
  285.    wt: 1:   2 Counting Digits in Decimal Multiplication
  286.    wt: 1:   1 Fractions with Finite Decimal Expansions
  287.    wt: 1:   6 Column Methods for Decimal Multiplication
  288.    wt: 1:   5 Distributive Law for Whole Numbers
  289.    wt: 1:   4 Commutative Law Groups Counting Form
  290.    wt: 1:   4 Fraction Operations Axiomatic Development
  291.    wt: 1:   2 Fraction Operations Physical Development
  292.    wt: 1:   5 Proportionality in Equivalent Fractions
  293.    wt: 1:   4 Rates Ratios and Proporitionality
  294.    wt: 1:   3 Proportionality Examples
  295.    wt: 1:   2 Algebraic View
  296.    wt: 1:   1 What is Proportionality
  297.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  298.    wt: 1:   3 Linear Equation Literal Solution More
  299.    wt: 1:   2 Linear Equation Literal Solution
  300.    wt: 1:   1 Changing Calculations
  301.    wt: 1:   3 Product Axioms Two Forms
  302.    wt: 1:   2 More and Less Than for Counts and Measures
  303.    wt: 1:   9 Coordinates for Regions in Space
  304.    wt: 1:   8 Coordinates for Maps and Planes
  305.    wt: 1:   3 Geometric Formulas and Function Notation
  306.    wt: 1:   1 Formulas Dependence and Function Notation
  307.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  308.    wt: 1:   6 Algebraic Solution Example
  309.    wt: 1:   5 Algebraic Solutions Introduction
  310.    wt: 1:   4 Four Examples Fractional Coefficients
  311.    wt: 1:   3 Four Examples
  312.    wt: 1:   2 Three Examples
  313.    wt: 1:   1 Proper Equal Sign Usage
  314.    wt: 1:   Skill Development Notes
  315.    wt: 1:   Using Letters for Physical Quantities
  316.    wt: 1:   1 Three Skills For Algebra
  317.    wt: 1:   arithmetic videos Real Player Format
  318.    wt: 1:   1 More and Less Than for Counts and Measures
  319.    wt: 1:   8 GCD from Euclidean Algorithm
  320.    wt: 1:   4 signed coordinates for regions in space
  321.    wt: 1:   3 signed coordinates for maps and planes
  322.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  323.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  324.    wt: 1:   21 Reciprocals for Fractions and Wholes
  325.    wt: 1:   11 Adding Integers Formulas and Examples
  326.    wt: 1:   10 Integer Multiplication Formulas
  327.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  328.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  329.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  330.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  331.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  332.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  333.    wt: 1:   Long Division forwards and backwards Example 3
  334.    wt: 1:   Long Division forwards and backwards Example 2
  335.    wt: 1:   Long Division forwards and backwards Example 1
  336.    wt: 1:   A Elementary Basis for Multiplication Methods
  337.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  338.    wt: 1:   5 A Tip for Efficent Subtraction
  339.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  340.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  341.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  342.    wt: 1:   Formula Evaluation how to show work
  343.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  344.    wt: 1:   28 Chain Rule Preparation for a Proof
  345.    wt: 1:   22 Chain Rule for polynomials
  346.    wt: 1:   21 Chain Rule for powers
  347.    wt: 1:   20 Chain Rule for Pulley Systems
  348.    wt: 1:   19 Chain Rule for linear functions
  349.    wt: 1:   10 Power rule for negative integers
  350.    wt: 1:   3 Motivation for Limit Definition Take 2
  351.    wt: 1:   2 Motivation for Limit Definition Take 1
  352.    wt: 1:   3 Decimal insights for limits continuity convergence
  353.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  354.    wt: 1:   PostScript For and Against Decimal Perspectives
  355.    wt: 1:   Foreword
  356.    wt: 1:   Appendix E. How To Study Mathematics and Why
  357.    wt: 1:   Appendix D. What to do in School and Why
  358.    wt: 1:   Appendix C. How to Read
  359.    wt: 1:   Appendix B. How To Learn
  360.    wt: 1:   Chapter 31 Direct and Indirect Reason
  361.    wt: 1:   Chapter 30 Truth Tables
  362.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  363.    wt: 1:   Chapter 28 Occurrence Tables
  364.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  365.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  366.    wt: 1:   Chapter 25. Mathematical Induction Examples
  367.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  368.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  369.    wt: 1:   Chapter 21. Third Reading Guide
  370.    wt: 1:   Chapter 20. Degrees and Radians
  371.    wt: 1:   Chapter 19. Functions and Sets
  372.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  373.    wt: 1:   Chapter 16. Painless Theorem Proving
  374.    wt: 1:   Chapter 15. Solving Linear Equations
  375.    wt: 1:   Chapter 13. Second Reading Guide
  376.    wt: 1:   Chapter 12. Shorthand Usage Guide
  377.    wt: 1:   Chapter 11. Why Shorthand
  378.    wt: 1:   Chapter 10 Describing and Changing Calculations
  379.    wt: 1:   Postscript What is a Variable
  380.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  381.    wt: 1:   Chapter 6 Change of Language
  382.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  383.    wt: 1:   Chapter 4 Longer Chains of Reason
  384.    wt: 1:   Chapter 3 Chains of Reason
  385.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  386.    wt: 1:   Postscript B Mathematics Education References
  387.    wt: 1:   Chapter 2 For and Against Mathematics
  388.    wt: 1:   Foreword
  389.    wt: 1:   Postscript C Consistency as a Tool for Reason
  390.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  391.    wt: 1:   Chapter 2 Skill Development
  392.    wt: 1:   Foreword
  393.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  394.    wt: 1:   N Mathematics Prepare for College Studies
  395.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  396.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  397.    wt: 1:   7 Games and Activities for Instruction
  398.    wt: 1:   Helping the Blind in Logic and Mathematics
  399.    wt: 1:   Implementation Notes
  400.    wt: 1:   More Algebra and Slope based Calculus Preview
  401.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  402.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  403.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  404.    wt: 1:   Which Way To Go
  405.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  406.    wt: 1:   The Math Forum and Site Content
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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