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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   5 What is Similarity/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Archives/
  6.    wt: 1:   Volume 1A Regles et modeles/
  7.    wt: 1:   francais/
  8.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  9.    wt: 1:   10 Examples of Algebraic Reasoning/
  10.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  11.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  12.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 1:   D Decimal Long Division Methods/
  14.    wt: 1:   Volume 1A Pattern Based Reason/
  15.    wt: 1:   Volume 1 Elements of Reason/

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198 matches:

  1.    wt: 3:   What is and is not here
  2.    wt: 2:   What is POMME
  3.    wt: 2:   Education Reform Inconsistencies
  4.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  5.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  6.    wt: 2:   4 Polynomials Long division linear divisor
  7.    wt: 2:   7 Tangent Function is odd on this domain
  8.    wt: 2:   1 What is Proportionality
  9.    wt: 2:   6 Three Notions of What is a Variable
  10.    wt: 2:   2 What is a Variable
  11.    wt: 2:   1 What is a fraction Take II
  12.    wt: 2:   1 What is a fraction
  13.    wt: 2:   7 Long Divison Mistake Catching
  14.    wt: 2:   3 Division Single Digit Divisor Example
  15.    wt: 2:   2 Division with Single Digit Divisors
  16.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  17.    wt: 2:   Postscript What is a Variable
  18.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  19.    wt: 2:   Postscript C Consistency as a Tool for Reason
  20.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  21.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  22.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  23.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  24.    wt: 1:   K LAMP Musings Science Education
  25.    wt: 1:   F LAMP Introduction Prerequisites
  26.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  27.    wt: 1:   10 statistics
  28.    wt: 1:   permissions for teachers
  29.    wt: 1:   links Education Resources online
  30.    wt: 1:   Mathematics Education Professors
  31.    wt: 1:   modern education
  32.    wt: 1:   what should be learnt and When
  33.    wt: 1:   What to Tell Students
  34.    wt: 1:   teaching tutoring algebraic reason
  35.    wt: 1:   three goals for Mathematics Education
  36.    wt: 1:   02 20 mathematics education references
  37.    wt: 1:   Education in mathematics science and technology
  38.    wt: 1:   Different Kinds of Reasoning in maths
  39.    wt: 1:   three kinds of reason in mathematics
  40.    wt: 1:   Four ways to improve education reform
  41.    wt: 1:   education an empirical art
  42.    wt: 1:   chapitre 12 00 les iles et division
  43.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  44.    wt: 1:   chapitre 06 00 Chaines de la raison
  45.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  46.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  47.    wt: 1:   Trois Notions qui menent a algebre
  48.    wt: 1:   2 Conductance Resistance Duality02
  49.    wt: 1:   1 Conductance Resistance Duality01
  50.    wt: 1:   F Wire Resistance Calculation04
  51.    wt: 1:   E Wire Resistance Calculation03
  52.    wt: 1:   D Wire Resistance Calculation02
  53.    wt: 1:   C Wire Resistance Calculation01
  54.    wt: 1:   B Wire Resistance Qualitative02
  55.    wt: 1:   A Wire Resistance Qualitative01
  56.    wt: 1:   3 Like resistors in parallel
  57.    wt: 1:   2 Unlike resistors in parallel01
  58.    wt: 1:   1 Like resistors in series
  59.    wt: 1:   F Unlike Resistors in Series
  60.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  61.    wt: 1:   11 Help and Defend Your Child or Teens Education
  62.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  63.    wt: 1:   sign monoticity analysis example 4
  64.    wt: 1:   sign monoticity analysis example 3
  65.    wt: 1:   sign monoticity analysis example 2
  66.    wt: 1:   sign monoticity analysis example 1
  67.    wt: 1:   15 Sign analysis of functions
  68.    wt: 1:   12 Function Domain Recognition Exercises
  69.    wt: 1:   6 Set Existence Formation and Notation
  70.    wt: 1:   3 Formula or function graphing exercise
  71.    wt: 1:   10 quadratic exercises
  72.    wt: 1:   1 quadratics graphing exercises
  73.    wt: 1:   5 Natural Logarithm Calculator Exercises
  74.    wt: 1:   1 Calculator Starter Exercises
  75.    wt: 1:   1 Polynomials Distributive Law
  76.    wt: 1:   5 Swapping Coordinates is a reflection
  77.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  78.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  79.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  80.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  81.    wt: 1:   17D cis formulas for sine cosines and tangent
  82.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  83.    wt: 1:   17A The complex number valued trig function cis
  84.    wt: 1:   12 cis formulas for sine cosines and tangent
  85.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  86.    wt: 1:   9 The complex number valued trig function cis
  87.    wt: 1:   5 An Easy Proof of the Distributive Law
  88.    wt: 1:   11 Triangle Similarity Missing Side Problem
  89.    wt: 1:   Four Simple Exercises
  90.    wt: 1:   7 Exercises to test skill and concept mastery
  91.    wt: 1:   13 Pythagorean spatial distance formulas
  92.    wt: 1:   10 Pythagorean plane distance formula
  93.    wt: 1:   8 Distance Between Points on a Line
  94.    wt: 1:   PS H Distributive Law For Complex Numbers
  95.    wt: 1:   PS G Rotation Distributes over Addition
  96.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  97.    wt: 1:   17 Right Bisectors of Triangle Sides
  98.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  99.    wt: 1:   9 Construction of a right bisector
  100.    wt: 1:   8 Isoceles Triangles
  101.    wt: 1:   6 Ruler and compass Angle Bisection
  102.    wt: 1:   3 Isometry of Triangles Congruence
  103.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  104.    wt: 1:   musings do not puiblish real numbers
  105.    wt: 1:   26 More Less Greater Than Comparison
  106.    wt: 1:   23 Distributive Law Two Derivations
  107.    wt: 1:   9 Division with Digits after Decimal Point
  108.    wt: 1:   8 Division and Mulplication of Compound Fractions
  109.    wt: 1:   E Long Division Methods more
  110.    wt: 1:   D Long Division Methods
  111.    wt: 1:   B Decimal Comparison and Subtraction
  112.    wt: 1:   5 Distributive Law for Whole Numbers
  113.    wt: 1:   5 Areas of Rectangles Revisited
  114.    wt: 1:   4 Subtraction and Division Axioms
  115.    wt: 1:   4 Comparison of Negative Numbers
  116.    wt: 1:   1 Real Numbers Comparison
  117.    wt: 1:   16 Real Numbers Comparison
  118.    wt: 1:   15 Real Number Division
  119.    wt: 1:   More Exercises
  120.    wt: 1:   Simple Exercises
  121.    wt: 1:   2 GE II Comparison
  122.    wt: 1:   4 Solving a triangular system exercise
  123.    wt: 1:   2 Essentially one exercises three with solution
  124.    wt: 1:   9 Sets in Probability and Statistics
  125.    wt: 1:   3 Comparison of Negative Numbers
  126.    wt: 1:   5 Common Divisors 60 45 via Prime
  127.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  128.    wt: 1:   2 Least Common Multiple LCM intro via list method
  129.    wt: 1:   11 What are real lengths and numbers
  130.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  131.    wt: 1:   16 Addition Subtraction Comparision Compared
  132.    wt: 1:   13 Fraction Comparison Algebraic View
  133.    wt: 1:   12 Fraction Comparison
  134.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  135.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  136.    wt: 1:   B Integer Long Division Multiple Choices
  137.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  138.    wt: 1:   26 Divisibility by 2 3 5 Example
  139.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  140.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  141.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  142.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  143.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  144.    wt: 1:   Long Division Backwards more
  145.    wt: 1:   Long Division Backward
  146.    wt: 1:   Division with Counts and Length
  147.    wt: 1:   Long Division forwards and backwards Example 3
  148.    wt: 1:   Long Division forwards and backwards Example 2
  149.    wt: 1:   Long Division forwards and backwards Example 1
  150.    wt: 1:   12 Why Long Division Works Take III
  151.    wt: 1:   11 Another Single Digit Divisor Example
  152.    wt: 1:   10 Division by Five Long and Short Ways
  153.    wt: 1:   9 Why Long Division Works Take II
  154.    wt: 1:   8 Correcting the Mistake
  155.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  156.    wt: 1:   5 Long Division Include Zeroes or not
  157.    wt: 1:   4 Division with 2 Digit Divsors
  158.    wt: 1:   A Elementary Basis for Multiplication Methods
  159.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  160.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  161.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  162.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  163.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  164.    wt: 1:   8 What skills and work habits to require
  165.    wt: 1:   Quick history of numbers and algebra
  166.    wt: 1:   The 12 Times Table Visually
  167.    wt: 1:   012 Division of Time Intervals by Time Intervals
  168.    wt: 1:   011 Division of Time Intervals By Numbers
  169.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  170.    wt: 1:   6 How long is a million seconds
  171.    wt: 1:   5 Area Under Curve Exercise
  172.    wt: 1:   4 Definite Integrals Evaluation Exercises
  173.    wt: 1:   3 Two Chain Rule Method Exercises
  174.    wt: 1:   2 Indefinite Integrals Exercises
  175.    wt: 1:   4 Second derivative test exercise example
  176.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  177.    wt: 1:   26 Chain Rule Recognising outer inner functions
  178.    wt: 1:   F.1 What Functions are Continuous
  179.    wt: 1:   Chapter 4. More Slope Sign Analysis
  180.    wt: 1:   Chapter 3. Slope Sign Analysis
  181.    wt: 1:   Appendix D. What to do in School and Why
  182.    wt: 1:   Chapter 31 Direct and Indirect Reason
  183.    wt: 1:   Solutions For Arithmetic Exercises
  184.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  185.    wt: 1:   Chapter 4 Longer Chains of Reason
  186.    wt: 1:   Chapter 3 Chains of Reason
  187.    wt: 1:   Postscript B Mathematics Education References
  188.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  189.    wt: 1:   Postscript B More on Story Telling and Reason
  190.    wt: 1:   Chapter 24 Direct and Indirect Reason
  191.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  192.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  193.    wt: 1:   Chapter 7 Longer Chains of Reason
  194.    wt: 1:   Chapter 6 Chains of Reason
  195.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  196.    wt: 1:   Mathematics Education References
  197.    wt: 1:   Mathematics Education References
  198.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

356 matches:

  1.    wt: 6:   Education Reform Inconsistencies
  2.    wt: 5:   permissions for teachers
  3.    wt: 5:   links Education Resources online
  4.    wt: 5:   Mathematics Education Professors
  5.    wt: 5:   modern education
  6.    wt: 5:   what should be learnt and When
  7.    wt: 5:   What to Tell Students
  8.    wt: 5:   teaching tutoring algebraic reason
  9.    wt: 5:   three goals for Mathematics Education
  10.    wt: 5:   02 20 mathematics education references
  11.    wt: 5:   Education in mathematics science and technology
  12.    wt: 5:   Different Kinds of Reasoning in maths
  13.    wt: 5:   three kinds of reason in mathematics
  14.    wt: 5:   Four ways to improve education reform
  15.    wt: 5:   education an empirical art
  16.    wt: 4:   What is POMME
  17.    wt: 4:   why bother
  18.    wt: 4:   which way to go
  19.    wt: 4:   website reviews
  20.    wt: 4:   three goals to set for students
  21.    wt: 4:   Teach the teachers plus goals
  22.    wt: 4:   Math Ed if it must be short make it lean effective
  23.    wt: 4:   Applied Maths Program14092009 POMME variant
  24.    wt: 4:   activities for students
  25.    wt: 4:   site origins
  26.    wt: 4:   site eurekas
  27.    wt: 4:   About site lesson plans
  28.    wt: 4:   key notes and themes
  29.    wt: 4:   teacher certification
  30.    wt: 4:   learning takes time
  31.    wt: 4:   grouping students according to ability
  32.    wt: 4:   mathematics in context
  33.    wt: 4:   Postscript 2007 01 10
  34.    wt: 4:   five decades make a difference
  35.    wt: 4:   Maps Plans Drawings
  36.    wt: 4:   how letters appear
  37.    wt: 4:   Secondary Three Mathematics
  38.    wt: 4:   Secondary Two Mathematics
  39.    wt: 4:   Secondary One Mathematics
  40.    wt: 4:   talk the algebra talk
  41.    wt: 4:   three difficulties
  42.    wt: 4:   teaching tips
  43.    wt: 4:   mathematics curriculum shifts
  44.    wt: 4:   geometric implications for algebra
  45.    wt: 4:   Lessening Algebra Difficulties
  46.    wt: 4:   the trouble with algebra
  47.    wt: 4:   05 13 OldSiteEntrancePage
  48.    wt: 4:   04 29 New Mathematics Curriculum
  49.    wt: 4:   04 25 when to stop or suspend mathemat
  50.    wt: 4:   02 21 words for teachers
  51.    wt: 4:   three aims for mathematics students
  52.    wt: 4:   standards for course material
  53.    wt: 4:   Operational Viewpoint to Value
  54.    wt: 4:   formal or informal peer review
  55.    wt: 4:   Theory of Knowledge
  56.    wt: 4:   mathematics instruction in general
  57.    wt: 4:   cultivating intelligence
  58.    wt: 4:   How to be a better instructor
  59.    wt: 4:   Motivation and Context Problem
  60.    wt: 4:   need for a mixed mathematics curriculum
  61.    wt: 4:   Leaner mathematics curriculum
  62.    wt: 4:   Prequel In For A Penny In For A Pound
  63.    wt: 4:   fairness and inductive principles for instruction
  64.    wt: 4:   words for mathematics instructor
  65.    wt: 3:   10 statistics
  66.    wt: 3:   11 Triangle Similarity Missing Side Problem
  67.    wt: 3:   What is and is not here
  68.    wt: 3:   7 Long Divison Mistake Catching
  69.    wt: 3:   3 Division Single Digit Divisor Example
  70.    wt: 3:   2 Division with Single Digit Divisors
  71.    wt: 3:   Postscript C Consistency as a Tool for Reason
  72.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  73.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  74.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  75.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  76.    wt: 2:   K LAMP Musings Science Education
  77.    wt: 2:   F LAMP Introduction Prerequisites
  78.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  79.    wt: 2:   11 pure mathematics
  80.    wt: 2:   9 combinatorics probability sets
  81.    wt: 2:   8 analytic geometry etc
  82.    wt: 2:   7 logic review and decimals an odd combination
  83.    wt: 2:   6 polynomials etc
  84.    wt: 2:   5 logarithms and exponentials etc
  85.    wt: 2:   4 algebra
  86.    wt: 2:   3 Euclidean Geometry Leanly
  87.    wt: 2:   2 arithmetic with signed numbers
  88.    wt: 2:   1 arithmetic with unsigned numbers
  89.    wt: 2:   chapitre 12 00 les iles et division
  90.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  91.    wt: 2:   chapitre 06 00 Chaines de la raison
  92.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  93.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  94.    wt: 2:   Trois Notions qui menent a algebre
  95.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  96.    wt: 2:   sign monoticity analysis example 4
  97.    wt: 2:   sign monoticity analysis example 3
  98.    wt: 2:   sign monoticity analysis example 2
  99.    wt: 2:   sign monoticity analysis example 1
  100.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  101.    wt: 2:   4 Polynomials Long division linear divisor
  102.    wt: 2:   7 Tangent Function is odd on this domain
  103.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  104.    wt: 2:   12 Triangles Similarity More Problems
  105.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  106.    wt: 2:   9 Similarity of Triangles Usual Criteria
  107.    wt: 2:   8 Similarity of Triangles and Polygons
  108.    wt: 2:   7 Translations Rotations Reflections Dilatations
  109.    wt: 2:   6 Geometric Diagrams in Class
  110.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  111.    wt: 2:   4 Similarity Definition with Coordinate
  112.    wt: 2:   3 Similarity by Design with coordinates
  113.    wt: 2:   2 Similarity By Design
  114.    wt: 2:   1 Early Concept of Like or Similar Shapes
  115.    wt: 2:   5 Areas of Rectangles Revisited
  116.    wt: 2:   1 What is Proportionality
  117.    wt: 2:   4 Comparison of Negative Numbers
  118.    wt: 2:   1 Real Numbers Comparison
  119.    wt: 2:   6 Three Notions of What is a Variable
  120.    wt: 2:   2 What is a Variable
  121.    wt: 2:   3 Comparison of Negative Numbers
  122.    wt: 2:   1 What is a fraction Take II
  123.    wt: 2:   1 What is a fraction
  124.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  125.    wt: 2:   26 Divisibility by 2 3 5 Example
  126.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  127.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  128.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  129.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  130.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  131.    wt: 2:   Long Division Backwards more
  132.    wt: 2:   Long Division Backward
  133.    wt: 2:   Division with Counts and Length
  134.    wt: 2:   Long Division forwards and backwards Example 3
  135.    wt: 2:   Long Division forwards and backwards Example 2
  136.    wt: 2:   Long Division forwards and backwards Example 1
  137.    wt: 2:   12 Why Long Division Works Take III
  138.    wt: 2:   11 Another Single Digit Divisor Example
  139.    wt: 2:   10 Division by Five Long and Short Ways
  140.    wt: 2:   9 Why Long Division Works Take II
  141.    wt: 2:   8 Correcting the Mistake
  142.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  143.    wt: 2:   5 Long Division Include Zeroes or not
  144.    wt: 2:   4 Division with 2 Digit Divsors
  145.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  146.    wt: 2:   Postscript What is a Variable
  147.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  148.    wt: 2:   Postscript B More on Story Telling and Reason
  149.    wt: 2:   Chapter 24 Direct and Indirect Reason
  150.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  151.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  152.    wt: 2:   Chapter 7 Longer Chains of Reason
  153.    wt: 2:   Chapter 6 Chains of Reason
  154.    wt: 1:   Appendix 2 primary school Arithmetic 01
  155.    wt: 1:   Appendix 1 primary and preschool mathematic
  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:   E LAMP Introduction Modern Mathematics
  161.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  162.    wt: 1:   A Introduction Objectives
  163.    wt: 1:   Skills Chapter 5 Calculus
  164.    wt: 1:   Skills Chapter 4 Logic
  165.    wt: 1:   Ramblings Extrinsic numbers theory
  166.    wt: 1:   Ramblings Introduction Algebra Essay
  167.    wt: 1:   Skills Chapter 3 Algebra
  168.    wt: 1:   Skills Chapter 2 Geometry
  169.    wt: 1:   Skills Chapter 1 Arithmetic
  170.    wt: 1:   Skills Chapter 0 Introduction
  171.    wt: 1:   chapitre 07 01 principle D induction mathematique
  172.    wt: 1:   chapitre 05 00 Deception
  173.    wt: 1:   chapitre 04 09 Regles accidentelles
  174.    wt: 1:   chapitre 04 08 Limitations et benefices
  175.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  176.    wt: 1:   chapitre 04 06 engagements
  177.    wt: 1:   chapitre 04 05 Implication versus suggestion
  178.    wt: 1:   chapitre 04 04 Parlons de la logique
  179.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  180.    wt: 1:   chapitre 04 02 Deuxieme enigme
  181.    wt: 1:   chapitre 04 01 Premiere enigme
  182.    wt: 1:   chapitre 04 00 Les regles d implication
  183.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  184.    wt: 1:   chapitre 02 00 La Communication des idees
  185.    wt: 1:   chapitre 01 00 Introduction
  186.    wt: 1:   liens
  187.    wt: 1:   problemes responses
  188.    wt: 1:   problemes algebre et arithmetique
  189.    wt: 1:   deux definitions pour variable
  190.    wt: 1:   logique deux enigme
  191.    wt: 1:   2 Conductance Resistance Duality02
  192.    wt: 1:   1 Conductance Resistance Duality01
  193.    wt: 1:   F Wire Resistance Calculation04
  194.    wt: 1:   E Wire Resistance Calculation03
  195.    wt: 1:   D Wire Resistance Calculation02
  196.    wt: 1:   C Wire Resistance Calculation01
  197.    wt: 1:   B Wire Resistance Qualitative02
  198.    wt: 1:   A Wire Resistance Qualitative01
  199.    wt: 1:   3 Like resistors in parallel
  200.    wt: 1:   2 Unlike resistors in parallel01
  201.    wt: 1:   1 Like resistors in series
  202.    wt: 1:   F Unlike Resistors in Series
  203.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  204.    wt: 1:   11 Help and Defend Your Child or Teens Education
  205.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  206.    wt: 1:   15 Sign analysis of functions
  207.    wt: 1:   12 Function Domain Recognition Exercises
  208.    wt: 1:   6 Set Existence Formation and Notation
  209.    wt: 1:   3 Formula or function graphing exercise
  210.    wt: 1:   10 quadratic exercises
  211.    wt: 1:   1 quadratics graphing exercises
  212.    wt: 1:   5 Natural Logarithm Calculator Exercises
  213.    wt: 1:   1 Calculator Starter Exercises
  214.    wt: 1:   1 Polynomials Distributive Law
  215.    wt: 1:   5 Swapping Coordinates is a reflection
  216.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  217.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  218.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  219.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  220.    wt: 1:   17D cis formulas for sine cosines and tangent
  221.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  222.    wt: 1:   17A The complex number valued trig function cis
  223.    wt: 1:   12 cis formulas for sine cosines and tangent
  224.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  225.    wt: 1:   9 The complex number valued trig function cis
  226.    wt: 1:   5 An Easy Proof of the Distributive Law
  227.    wt: 1:   Four Simple Exercises
  228.    wt: 1:   7 Exercises to test skill and concept mastery
  229.    wt: 1:   13 Pythagorean spatial distance formulas
  230.    wt: 1:   10 Pythagorean plane distance formula
  231.    wt: 1:   8 Distance Between Points on a Line
  232.    wt: 1:   PS H Distributive Law For Complex Numbers
  233.    wt: 1:   PS G Rotation Distributes over Addition
  234.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  235.    wt: 1:   17 Right Bisectors of Triangle Sides
  236.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  237.    wt: 1:   9 Construction of a right bisector
  238.    wt: 1:   8 Isoceles Triangles
  239.    wt: 1:   6 Ruler and compass Angle Bisection
  240.    wt: 1:   3 Isometry of Triangles Congruence
  241.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  242.    wt: 1:   musings do not puiblish real numbers
  243.    wt: 1:   26 More Less Greater Than Comparison
  244.    wt: 1:   23 Distributive Law Two Derivations
  245.    wt: 1:   9 Division with Digits after Decimal Point
  246.    wt: 1:   8 Division and Mulplication of Compound Fractions
  247.    wt: 1:   E Long Division Methods more
  248.    wt: 1:   D Long Division Methods
  249.    wt: 1:   B Decimal Comparison and Subtraction
  250.    wt: 1:   5 Distributive Law for Whole Numbers
  251.    wt: 1:   4 Fraction Operations Axiomatic Development
  252.    wt: 1:   3 Inequalities Algebraically
  253.    wt: 1:   2 Fraction Operations Physical Development
  254.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  255.    wt: 1:   4 Subtraction and Division Axioms
  256.    wt: 1:   5 Greater More Less Than Signs in General
  257.    wt: 1:   3 More and Less Than with Unlike Signs
  258.    wt: 1:   2 More and Less Than for Counts and Measures
  259.    wt: 1:   16 Real Numbers Comparison
  260.    wt: 1:   15 Real Number Division
  261.    wt: 1:   More Exercises
  262.    wt: 1:   Simple Exercises
  263.    wt: 1:   2 GE II Comparison
  264.    wt: 1:   4 Solving a triangular system exercise
  265.    wt: 1:   2 Essentially one exercises three with solution
  266.    wt: 1:   9 Sets in Probability and Statistics
  267.    wt: 1:   4 Greater More Less Than Signs in General
  268.    wt: 1:   2 More and Less Than with Unlike Signs
  269.    wt: 1:   1 More and Less Than for Counts and Measures
  270.    wt: 1:   5 Common Divisors 60 45 via Prime
  271.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  272.    wt: 1:   2 Least Common Multiple LCM intro via list method
  273.    wt: 1:   11 What are real lengths and numbers
  274.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  275.    wt: 1:   16 Addition Subtraction Comparision Compared
  276.    wt: 1:   13 Fraction Comparison Algebraic View
  277.    wt: 1:   12 Fraction Comparison
  278.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  279.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  280.    wt: 1:   B Integer Long Division Multiple Choices
  281.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  282.    wt: 1:   23 Remainder Arithmetic Modulo 2
  283.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  284.    wt: 1:   21 Remainder Arithmetic Modulo 3
  285.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  286.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  287.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  288.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  289.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  290.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  291.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  292.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  293.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  294.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  295.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  296.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  297.    wt: 1:   5 Remainder Arithmetic Modulo 5
  298.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  299.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  300.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  301.    wt: 1:   1 Remainder Arithmetic Modulo 10
  302.    wt: 1:   1 Divsion Physical Examples
  303.    wt: 1:   A Elementary Basis for Multiplication Methods
  304.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  305.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  306.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  307.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  308.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  309.    wt: 1:   8 What skills and work habits to require
  310.    wt: 1:   Quick history of numbers and algebra
  311.    wt: 1:   The 12 Times Table Visually
  312.    wt: 1:   012 Division of Time Intervals by Time Intervals
  313.    wt: 1:   011 Division of Time Intervals By Numbers
  314.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  315.    wt: 1:   6 How long is a million seconds
  316.    wt: 1:   5 Area Under Curve Exercise
  317.    wt: 1:   4 Definite Integrals Evaluation Exercises
  318.    wt: 1:   3 Two Chain Rule Method Exercises
  319.    wt: 1:   2 Indefinite Integrals Exercises
  320.    wt: 1:   4 Second derivative test exercise example
  321.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  322.    wt: 1:   26 Chain Rule Recognising outer inner functions
  323.    wt: 1:   F.1 What Functions are Continuous
  324.    wt: 1:   Chapter 4. More Slope Sign Analysis
  325.    wt: 1:   Chapter 3. Slope Sign Analysis
  326.    wt: 1:   Appendix D. What to do in School and Why
  327.    wt: 1:   Chapter 31 Direct and Indirect Reason
  328.    wt: 1:   Solutions For Arithmetic Exercises
  329.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  330.    wt: 1:   Chapter 4 Longer Chains of Reason
  331.    wt: 1:   Chapter 3 Chains of Reason
  332.    wt: 1:   Postscript B Mathematics Education References
  333.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  334.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  335.    wt: 1:   Postscript A Story Telling
  336.    wt: 1:   Chapter 23 Truth Tables
  337.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  338.    wt: 1:   Chapter 21 Occurrence Tables
  339.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  340.    wt: 1:   Chapter 18 Sense and Knowledge
  341.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  342.    wt: 1:   Chapter 15 Objective Processes
  343.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  344.    wt: 1:   Chapter 11 Accidental Patterns
  345.    wt: 1:   Chapter 10 Responsibility
  346.    wt: 1:   Chapter 8 Change of Language
  347.    wt: 1:   Chapter 5 Deception
  348.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  349.    wt: 1:   Chapter 2 Skill Development
  350.    wt: 1:   Chapter 1 Introduction
  351.    wt: 1:   Three Remarks
  352.    wt: 1:   Foreword
  353.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  354.    wt: 1:   Mathematics Education References
  355.    wt: 1:   Mathematics Education References
  356.    wt: 1:   Systematic Algebra Skill Development Missing Links
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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