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: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  3.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 2:   Mathematics Education Essays/
  5.    wt: 2:   4 Functions/
  6.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 2:   4 Lines and Slopes Take 1/
  8.    wt: 2:   Step 4 Gaussian Elimination/
  9.    wt: 2:   D Decimal Long Division Methods/
  10.    wt: 2:   5 Lessons on Integration/
  11.    wt: 2:   4 Lessons on Using Derivatives/
  12.    wt: 2:   Volume 2 Three Skills For Algebra/
  13.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  14.    wt: 2:   Secondary Mathematics A Practical Approach/
  15.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  16.    wt: 1:   Archives/
  17.    wt: 1:   Mathematics Skills Year by Year/
  18.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  19.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  20.    wt: 1:   4 Computation Rules and Function Notation/
  21.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  22.    wt: 1:   11 Squares and Square Roots/
  23.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 1:   9 Combinatorics Trees Tables and Products/
  25.    wt: 1:   8 Arithmetic with Signed Numbers/
  26.    wt: 1:   7 Arithmetic and Fractions with Units/
  27.    wt: 1:   6 Fractions and Ratios/
  28.    wt: 1:   5 Integers/
  29.    wt: 1:   3 Prime Factorization Skills/
  30.    wt: 1:   C Decimal Multiplication Methods/
  31.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 1:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   2 Arithmetic with Decimals/
  34.    wt: 1:   1 Decimal Place Value/
  35.    wt: 1:   Arithmetic and Number Theory Skills/
  36.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  37.    wt: 1:   38 Lessons on Calculating Derivatives/
  38.    wt: 1:   13 Lessons on Limits and Continuity/
  39.    wt: 1:   70 Calculus Starter Lessons/
  40.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  41.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  42.    wt: 1:   Volume 1A Pattern Based Reason/
  43.    wt: 1:   Volume 1 Elements of Reason/
  44.    wt: 1:   Mathematics 506 Lessons/
  45.    wt: 1:   Mathematics Skill Development Framework/

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267 matches:

  1.    wt: 3:   Skills Chapter 4 Logic
  2.    wt: 3:   Applied Maths Program14092009 POMME variant
  3.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  4.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  5.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  6.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  7.    wt: 2:   04 29 New Mathematics Curriculum
  8.    wt: 2:   Leaner mathematics curriculum
  9.    wt: 2:   chapitre 04 04 Parlons de la logique
  10.    wt: 2:   4 Function notation in and beyond mathematics
  11.    wt: 2:   12 From Applied To Pure Mathematics
  12.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  13.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  14.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  15.    wt: 2:   14 video Factors of 24 Take II
  16.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  17.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  18.    wt: 2:   Chapter 4. More Slope Sign Analysis
  19.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  20.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  21.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  22.    wt: 2:   Chapter 4 Longer Chains of Reason
  23.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  24.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  25.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  26.    wt: 2:   Chapter 2 For and Against Mathematics
  27.    wt: 2:   Chapter 24 Direct and Indirect Reason
  28.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  29.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  30.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  31.    wt: 2:   Helping the Blind in Logic and Mathematics
  32.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  33.    wt: 1:   E LAMP Introduction Modern Mathematics
  34.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  35.    wt: 1:   Skills Chapter 5 Calculus
  36.    wt: 1:   Skills Chapter 3 Algebra
  37.    wt: 1:   Skills Chapter 2 Geometry
  38.    wt: 1:   Skills Chapter 1 Arithmetic
  39.    wt: 1:   Skills Chapter 0 Introduction
  40.    wt: 1:   11 pure mathematics
  41.    wt: 1:   7 logic review and decimals an odd combination
  42.    wt: 1:   4 algebra
  43.    wt: 1:   3 Euclidean Geometry Leanly
  44.    wt: 1:   Math Ed if it must be short make it lean effective
  45.    wt: 1:   Mathematics Education Professors
  46.    wt: 1:   mathematics in context
  47.    wt: 1:   Secondary Three Mathematics
  48.    wt: 1:   Secondary Two Mathematics
  49.    wt: 1:   Secondary One Mathematics
  50.    wt: 1:   mathematics curriculum shifts
  51.    wt: 1:   three goals for Mathematics Education
  52.    wt: 1:   04 25 when to stop or suspend mathemat
  53.    wt: 1:   02 20 mathematics education references
  54.    wt: 1:   three aims for mathematics students
  55.    wt: 1:   mathematics instruction in general
  56.    wt: 1:   Education in mathematics science and technology
  57.    wt: 1:   three kinds of reason in mathematics
  58.    wt: 1:   need for a mixed mathematics curriculum
  59.    wt: 1:   words for mathematics instructor
  60.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  61.    wt: 1:   chapitre 04 09 Regles accidentelles
  62.    wt: 1:   chapitre 04 08 Limitations et benefices
  63.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  64.    wt: 1:   chapitre 04 06 engagements
  65.    wt: 1:   chapitre 04 05 Implication versus suggestion
  66.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  67.    wt: 1:   chapitre 04 02 Deuxieme enigme
  68.    wt: 1:   chapitre 04 01 Premiere enigme
  69.    wt: 1:   chapitre 04 00 Les regles d implication
  70.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  71.    wt: 1:   4 Energy Power Heat09
  72.    wt: 1:   D Energy Power04
  73.    wt: 1:   F Wire Resistance Calculation04
  74.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  75.    wt: 1:   24 Standards For Skill Develoment Take II
  76.    wt: 1:   24 Standards For Skill Develoment
  77.    wt: 1:   22 Student Centered Highschool Mathematics
  78.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  79.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  80.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  81.    wt: 1:   18 Primary School Mathematics
  82.    wt: 1:   16 Secondary Mathematics Tips
  83.    wt: 1:   14 Multiplication and Times Tables
  84.    wt: 1:   12 Goals and Objectives For Mathematics
  85.    wt: 1:   4 Learning Takes Time and Effort
  86.    wt: 1:   Ages 12 to 14 Skills with take home value
  87.    wt: 1:   Ages 12 to 14 Geometry
  88.    wt: 1:   Ages 12 to 14 Arithmetic
  89.    wt: 1:   Ages 4 plus to 5 plus
  90.    wt: 1:   Ages 3 plus to 4 plus
  91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  93.    wt: 1:   sign monoticity analysis example 4
  94.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  95.    wt: 1:   14 Surjections Injections Bijections
  96.    wt: 1:   4 quadratics difference of two squares
  97.    wt: 1:   4 Polynomials Long division linear divisor
  98.    wt: 1:   14 secant function Definition Graph and Inverse
  99.    wt: 1:   4 possible motivation for term arccos
  100.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  101.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  102.    wt: 1:   4 Resultant of a Sum of Movements
  103.    wt: 1:   4 graphing y=Asin(x c)
  104.    wt: 1:   14 Straight Lines Equations General Case
  105.    wt: 1:   4 Tangent Function Properties
  106.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  107.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  108.    wt: 1:   24 tangent Angle Difference Formula
  109.    wt: 1:   14 cosine even and sine and tangent are odd
  110.    wt: 1:   14 Law of cosines
  111.    wt: 1:   4 Multiplication Properties
  112.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  113.    wt: 1:   4 Similarity Definition with Coordinate
  114.    wt: 1:   4 Equations for lines three forms
  115.    wt: 1:   4 Polar Coordinates to and from
  116.    wt: 1:   14 Parallel Lines Postulate
  117.    wt: 1:   4 Side Side Side
  118.    wt: 1:   4 Angles on Maps Plans drawn to scale
  119.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  120.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  121.    wt: 1:   4 Location of Point in Decimal Addition
  122.    wt: 1:   4 Commutative Law Groups Counting Form
  123.    wt: 1:   4 Fraction Operations Axiomatic Development
  124.    wt: 1:   4 Rates Ratios and Proporitionality
  125.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  126.    wt: 1:   4 Subtraction and Division Axioms
  127.    wt: 1:   4 Comparison of Negative Numbers
  128.    wt: 1:   14 Real Number Multiplication
  129.    wt: 1:   4 Rational Numbers
  130.    wt: 1:   4 Changing Letters
  131.    wt: 1:   4 GE III Animated Examples
  132.    wt: 1:   4 Solving a triangular system exercise
  133.    wt: 1:   4 Four Examples Fractional Coefficients
  134.    wt: 1:   4 Two Examples
  135.    wt: 1:   4 Circle Area Formula Example
  136.    wt: 1:   4 Subset Builder Notation
  137.    wt: 1:   4 A Brief Story of numbers and algebra
  138.    wt: 1:   4 Greater More Less Than Signs in General
  139.    wt: 1:   4 Square Roots with primes more
  140.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  141.    wt: 1:   5 Common Divisors 60 45 via Prime
  142.    wt: 1:   4 LCM of 8 and 10 via Prime
  143.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  144.    wt: 1:   4 Counting with Trees Product Rule Take I
  145.    wt: 1:   4 signed coordinates for regions in space
  146.    wt: 1:   4 Fractions with Units
  147.    wt: 1:   14 Adding and Subtracting with Like Denominators
  148.    wt: 1:   4 Fraction Multiplication
  149.    wt: 1:   4 Adding Movements wiht opposite directions
  150.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  151.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  152.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  153.    wt: 1:   13 video Factors of 24 using prime
  154.    wt: 1:   4 video Prime Factorization Introduction
  155.    wt: 1:   4 Division with 2 Digit Divsors
  156.    wt: 1:   4 Two and Three Digit Multipliers
  157.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  158.    wt: 1:   4. How to add with decimals B with conversions
  159.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  160.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  161.    wt: 1:   014 Counting Days with Calendars
  162.    wt: 1:   4 Mixing and Changing Units of Time
  163.    wt: 1:   Example 4 with x function of y
  164.    wt: 1:   4 Definite Integrals Evaluation Exercises
  165.    wt: 1:   4 Second derivative test exercise example
  166.    wt: 1:   34 Derivative of exponential function
  167.    wt: 1:   24 Chain Rule Animated Examples
  168.    wt: 1:   14 sine and cosine derivatives 2nd step
  169.    wt: 1:   4 Sum Rule
  170.    wt: 1:   4 Numerical properties
  171.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  172.    wt: 1:   F.4 Finite Covering Theorem
  173.    wt: 1:   Chapter 23 Links To Trigonometry
  174.    wt: 1:   Chapter 22 Complex Numbers
  175.    wt: 1:   Chapter 21 Arrow Addition
  176.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  177.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  178.    wt: 1:   Chapter 18. Slopes Areas Integration
  179.    wt: 1:   Chapter 17. Area Approximation
  180.    wt: 1:   Chapter 16. Velocity Approximation
  181.    wt: 1:   Chapter 15. Slope Approximation
  182.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  183.    wt: 1:   Chapter 13. Acceleration
  184.    wt: 1:   Chapter 12. Units and Slopes
  185.    wt: 1:   Chapter 11. Graphing Slope versus Position
  186.    wt: 1:   Chapter 10 Slopes and Units
  187.    wt: 1:   Chapter 9 About First Courses in Calculus
  188.    wt: 1:   Chapter 8. Slope Interpretation
  189.    wt: 1:   Chapter 7 Slopes and Velocity
  190.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  191.    wt: 1:   Chapter 5. Slope Sign Tests
  192.    wt: 1:   Chapter 3. Slope Sign Analysis
  193.    wt: 1:   Chapter 2. Slopes and Ski Trails
  194.    wt: 1:   Chapter 1.Introduction
  195.    wt: 1:   Appendix E. How To Study Mathematics and Why
  196.    wt: 1:   Chapter 31 Direct and Indirect Reason
  197.    wt: 1:   Chapter 30 Truth Tables
  198.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  199.    wt: 1:   Chapter 28 Occurrence Tables
  200.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  201.    wt: 1:   Chapter 25. Mathematical Induction Examples
  202.    wt: 1:   Chapter 23. Notation For Sums
  203.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  204.    wt: 1:   Chapter 21. Third Reading Guide
  205.    wt: 1:   Chapter 20. Degrees and Radians
  206.    wt: 1:   Chapter 19. Functions and Sets
  207.    wt: 1:   Chapter 18. Rules for Algebra
  208.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  209.    wt: 1:   Chapter 16. Painless Theorem Proving
  210.    wt: 1:   Chapter 15. Solving Linear Equations
  211.    wt: 1:   Chapter 13. Second Reading Guide
  212.    wt: 1:   Chapter 12. Shorthand Usage Guide
  213.    wt: 1:   Chapter 11. Why Shorthand
  214.    wt: 1:   Chapter 10 Describing and Changing Calculations
  215.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  216.    wt: 1:   Chapter 8 Three Skills For Algebra
  217.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  218.    wt: 1:   Chapter 6 Change of Language
  219.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  220.    wt: 1:   Chapter 3 Chains of Reason
  221.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  222.    wt: 1:   Postscript B Mathematics Education References
  223.    wt: 1:   Chapter 12 Four Phases
  224.    wt: 1:   Chapter 11 Elementary Instruction
  225.    wt: 1:   Chapter 10 Transition
  226.    wt: 1:   Chapter 9 The Two Ends
  227.    wt: 1:   Chapter 8 Modern Instruction
  228.    wt: 1:   Chapter 7 Two Treatments of Geometry
  229.    wt: 1:   Chapter 5 Four References
  230.    wt: 1:   Chapter 3 Algebra Difficulties
  231.    wt: 1:   Chapter 1 Introduction
  232.    wt: 1:   Chapter 23 Truth Tables
  233.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  234.    wt: 1:   Chapter 21 Occurrence Tables
  235.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  236.    wt: 1:   Chapter 18 Sense and Knowledge
  237.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  238.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  239.    wt: 1:   Chapter 15 Objective Processes
  240.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  241.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  242.    wt: 1:   Chapter 11 Accidental Patterns
  243.    wt: 1:   Chapter 10 Responsibility
  244.    wt: 1:   Chapter 8 Change of Language
  245.    wt: 1:   Chapter 7 Longer Chains of Reason
  246.    wt: 1:   Chapter 6 Chains of Reason
  247.    wt: 1:   Chapter 5 Deception
  248.    wt: 1:   Chapter 2 Skill Development
  249.    wt: 1:   Chapter 1 Introduction
  250.    wt: 1:   R Why Learn Mathematics Skills
  251.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  252.    wt: 1:   O On Learning Mathematics and Science
  253.    wt: 1:   N Mathematics Prepare for College Studies
  254.    wt: 1:   I. Logic and language skills
  255.    wt: 1:   Chapter 8 Skipped Topics and Why
  256.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  257.    wt: 1:   Chapter 6 More Algebra and Geometry
  258.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  259.    wt: 1:   Chapter 3 Algebra Starter Lessons
  260.    wt: 1:   Chapter 2 Why Sets
  261.    wt: 1:   Chapter 1 Arithmetic
  262.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  263.    wt: 1:   Mathematics Education References
  264.    wt: 1:   Mathematics Education References
  265.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  266.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  267.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

736 matches:

  1.    wt: 8:   E LAMP Introduction Modern Mathematics
  2.    wt: 8:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 7:   K LAMP Musings Science Education
  4.    wt: 7:   J LAMP Introduction Extrinsic Origins
  5.    wt: 7:   I LAMP Introduction Study Habits
  6.    wt: 7:   H LAMP Introduction Instructional Concepts
  7.    wt: 7:   G LAMP Introduction Problem Solving Skills
  8.    wt: 7:   F LAMP Introduction Prerequisites
  9.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  10.    wt: 7:   A Introduction Objectives
  11.    wt: 7:   Skills Chapter 5 Calculus
  12.    wt: 7:   Skills Chapter 3 Algebra
  13.    wt: 7:   Skills Chapter 2 Geometry
  14.    wt: 7:   Skills Chapter 1 Arithmetic
  15.    wt: 7:   Skills Chapter 0 Introduction
  16.    wt: 6:   Appendix 2 primary school Arithmetic 01
  17.    wt: 6:   Appendix 1 primary and preschool mathematic
  18.    wt: 6:   Ramblings Extrinsic numbers theory
  19.    wt: 6:   Ramblings Introduction Algebra Essay
  20.    wt: 6:   Chapter 4 Logic for Reading Writing and Geometry etc
  21.    wt: 5:   Applied Maths Program14092009 POMME variant
  22.    wt: 5:   Leaner mathematics curriculum
  23.    wt: 5:   4 Function notation in and beyond mathematics
  24.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  25.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  26.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  27.    wt: 5:   Chapter 14. Forward and Backward Use of a Formula
  28.    wt: 5:   Chapter 4 Longer Chains of Reason
  29.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  30.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  31.    wt: 4:   4 algebra
  32.    wt: 4:   Mathematics Education Professors
  33.    wt: 4:   04 29 New Mathematics Curriculum
  34.    wt: 4:   Education in mathematics science and technology
  35.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  36.    wt: 4:   14 Surjections Injections Bijections
  37.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  38.    wt: 4:   4 Equations for lines three forms
  39.    wt: 4:   4 GE III Animated Examples
  40.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  41.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  42.    wt: 4:   23 Remainder Arithmetic Modulo 2
  43.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  44.    wt: 4:   21 Remainder Arithmetic Modulo 3
  45.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  46.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  47.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  48.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  49.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  50.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  51.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  52.    wt: 4:   14 video Factors of 24 Take II
  53.    wt: 4:   4 Division with 2 Digit Divsors
  54.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  55.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  56.    wt: 4:   Chapter 4. More Slope Sign Analysis
  57.    wt: 4:   Appendix E. How To Study Mathematics and Why
  58.    wt: 4:   Appendix D. What to do in School and Why
  59.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  60.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  61.    wt: 4:   Postscript B Mathematics Education References
  62.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  63.    wt: 4:   Chapter 2 For and Against Mathematics
  64.    wt: 4:   Chapter 24 Direct and Indirect Reason
  65.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  66.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  67.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  68.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  69.    wt: 3:   11 pure mathematics
  70.    wt: 3:   7 logic review and decimals an odd combination
  71.    wt: 3:   3 Euclidean Geometry Leanly
  72.    wt: 3:   Teach the teachers plus goals
  73.    wt: 3:   Math Ed if it must be short make it lean effective
  74.    wt: 3:   site eurekas
  75.    wt: 3:   teacher certification
  76.    wt: 3:   modern education
  77.    wt: 3:   mathematics in context
  78.    wt: 3:   how letters appear
  79.    wt: 3:   Secondary Three Mathematics
  80.    wt: 3:   Secondary Two Mathematics
  81.    wt: 3:   Secondary One Mathematics
  82.    wt: 3:   mathematics curriculum shifts
  83.    wt: 3:   geometric implications for algebra
  84.    wt: 3:   three goals for Mathematics Education
  85.    wt: 3:   04 25 when to stop or suspend mathemat
  86.    wt: 3:   02 20 mathematics education references
  87.    wt: 3:   three aims for mathematics students
  88.    wt: 3:   mathematics instruction in general
  89.    wt: 3:   three kinds of reason in mathematics
  90.    wt: 3:   need for a mixed mathematics curriculum
  91.    wt: 3:   words for mathematics instructor
  92.    wt: 3:   Ages 4 plus to 5 plus
  93.    wt: 3:   sign monoticity analysis example 4
  94.    wt: 3:   Four Simple Exercises
  95.    wt: 3:   4 Greater More Less Than Signs in General
  96.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  97.    wt: 3:   4 signed coordinates for regions in space
  98.    wt: 3:   4 Fraction Multiplication
  99.    wt: 3:   4 Adding Movements wiht opposite directions
  100.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  101.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  102.    wt: 3:   26 Divisibility by 2 3 5 Example
  103.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  104.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  105.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  106.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  107.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  108.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  109.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  110.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  111.    wt: 3:   5 Remainder Arithmetic Modulo 5
  112.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  113.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  114.    wt: 3:   1 Remainder Arithmetic Modulo 10
  115.    wt: 3:   4 video Prime Factorization Introduction
  116.    wt: 3:   Long Division Backwards more
  117.    wt: 3:   4 Two and Three Digit Multipliers
  118.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  119.    wt: 3:   4. How to add with decimals B with conversions
  120.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  121.    wt: 3:   Example 4 with x function of y
  122.    wt: 3:   4 Definite Integrals Evaluation Exercises
  123.    wt: 3:   2 Indefinite Integrals Exercises
  124.    wt: 3:   4 Second derivative test exercise example
  125.    wt: 3:   3 Second derivative test
  126.    wt: 3:   34 Derivative of exponential function
  127.    wt: 3:   24 Chain Rule Animated Examples
  128.    wt: 3:   14 sine and cosine derivatives 2nd step
  129.    wt: 3:   Appendix C. How to Read
  130.    wt: 3:   Appendix B. How To Learn
  131.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  132.    wt: 3:   Chapter 31 Direct and Indirect Reason
  133.    wt: 3:   Chapter 30 Truth Tables
  134.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  135.    wt: 3:   Chapter 28 Occurrence Tables
  136.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  137.    wt: 3:   Chapter 25. Mathematical Induction Examples
  138.    wt: 3:   Chapter 23. Notation For Sums
  139.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  140.    wt: 3:   Chapter 21. Third Reading Guide
  141.    wt: 3:   Chapter 20. Degrees and Radians
  142.    wt: 3:   Chapter 19. Functions and Sets
  143.    wt: 3:   Chapter 18. Rules for Algebra
  144.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  145.    wt: 3:   Chapter 16. Painless Theorem Proving
  146.    wt: 3:   Chapter 15. Solving Linear Equations
  147.    wt: 3:   Chapter 13. Second Reading Guide
  148.    wt: 3:   Chapter 12. Shorthand Usage Guide
  149.    wt: 3:   Chapter 11. Why Shorthand
  150.    wt: 3:   Chapter 10 Describing and Changing Calculations
  151.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  152.    wt: 3:   Chapter 8 Three Skills For Algebra
  153.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  154.    wt: 3:   Chapter 6 Change of Language
  155.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  156.    wt: 3:   Chapter 3 Chains of Reason
  157.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  158.    wt: 3:   Chapter 12 Four Phases
  159.    wt: 3:   Chapter 11 Elementary Instruction
  160.    wt: 3:   Chapter 10 Transition
  161.    wt: 3:   Chapter 9 The Two Ends
  162.    wt: 3:   Chapter 8 Modern Instruction
  163.    wt: 3:   Chapter 7 Two Treatments of Geometry
  164.    wt: 3:   Chapter 5 Four References
  165.    wt: 3:   Chapter 3 Algebra Difficulties
  166.    wt: 3:   Chapter 1 Introduction
  167.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  168.    wt: 3:   Chapter 8 Skipped Topics and Why
  169.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  170.    wt: 3:   Chapter 6 More Algebra and Geometry
  171.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  172.    wt: 3:   Chapter 3 Algebra Starter Lessons
  173.    wt: 3:   Chapter 2 Why Sets
  174.    wt: 3:   Chapter 1 Arithmetic
  175.    wt: 3:   Helping the Blind in Logic and Mathematics
  176.    wt: 3:   Mathematics Education References
  177.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  178.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  179.    wt: 2:   10 statistics
  180.    wt: 2:   9 combinatorics probability sets
  181.    wt: 2:   8 analytic geometry etc
  182.    wt: 2:   6 polynomials etc
  183.    wt: 2:   5 logarithms and exponentials etc
  184.    wt: 2:   2 arithmetic with signed numbers
  185.    wt: 2:   1 arithmetic with unsigned numbers
  186.    wt: 2:   What is POMME
  187.    wt: 2:   why bother
  188.    wt: 2:   which way to go
  189.    wt: 2:   website reviews
  190.    wt: 2:   three goals to set for students
  191.    wt: 2:   permissions for teachers
  192.    wt: 2:   activities for students
  193.    wt: 2:   links Education Resources online
  194.    wt: 2:   site origins
  195.    wt: 2:   About site lesson plans
  196.    wt: 2:   key notes and themes
  197.    wt: 2:   learning takes time
  198.    wt: 2:   grouping students according to ability
  199.    wt: 2:   what should be learnt and When
  200.    wt: 2:   Postscript 2007 01 10
  201.    wt: 2:   Education Reform Inconsistencies
  202.    wt: 2:   five decades make a difference
  203.    wt: 2:   Maps Plans Drawings
  204.    wt: 2:   talk the algebra talk
  205.    wt: 2:   three difficulties
  206.    wt: 2:   teaching tips
  207.    wt: 2:   What to Tell Students
  208.    wt: 2:   teaching tutoring algebraic reason
  209.    wt: 2:   Lessening Algebra Difficulties
  210.    wt: 2:   the trouble with algebra
  211.    wt: 2:   05 13 OldSiteEntrancePage
  212.    wt: 2:   02 21 words for teachers
  213.    wt: 2:   standards for course material
  214.    wt: 2:   Operational Viewpoint to Value
  215.    wt: 2:   formal or informal peer review
  216.    wt: 2:   Theory of Knowledge
  217.    wt: 2:   Different Kinds of Reasoning in maths
  218.    wt: 2:   cultivating intelligence
  219.    wt: 2:   Four ways to improve education reform
  220.    wt: 2:   How to be a better instructor
  221.    wt: 2:   Motivation and Context Problem
  222.    wt: 2:   Prequel In For A Penny In For A Pound
  223.    wt: 2:   education an empirical art
  224.    wt: 2:   fairness and inductive principles for instruction
  225.    wt: 2:   chapitre 04 04 Parlons de la logique
  226.    wt: 2:   D Energy Power04
  227.    wt: 2:   24 Standards For Skill Develoment Take II
  228.    wt: 2:   24 Standards For Skill Develoment
  229.    wt: 2:   14 Multiplication and Times Tables
  230.    wt: 2:   4 Learning Takes Time and Effort
  231.    wt: 2:   Ages 12 to 14 Skills with take home value
  232.    wt: 2:   Ages 12 to 14 Geometry
  233.    wt: 2:   Ages 12 to 14 Arithmetic
  234.    wt: 2:   Ages 3 plus to 4 plus
  235.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  236.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  237.    wt: 2:   26 Function definitions done and coming
  238.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  239.    wt: 2:   23 Inverse Functions
  240.    wt: 2:   22 Square Root function graphically
  241.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  242.    wt: 2:   20 Interchanging coordinates a reflection
  243.    wt: 2:   19 Horizontal line rule and method
  244.    wt: 2:   18 Vertical Line Rule and Method
  245.    wt: 2:   17 Function maxima minima and their location
  246.    wt: 2:   16 Increasing or decreasing on intervals
  247.    wt: 2:   15 Sign analysis of functions
  248.    wt: 2:   13 From one to one to many to one
  249.    wt: 2:   12 Function Domain Recognition Exercises
  250.    wt: 2:   11 Function Domain Range Source and Targets
  251.    wt: 2:   10 Interval Notation
  252.    wt: 2:   9 Set theory term relation possible origins
  253.    wt: 2:   8 Set view of relations and functions
  254.    wt: 2:   7 Functions with finite domains
  255.    wt: 2:   6 Set Existence Formation and Notation
  256.    wt: 2:   5 Function notation for geometric transformations
  257.    wt: 2:   3 Formula or function graphing exercise
  258.    wt: 2:   2 Algebraic use of function notation
  259.    wt: 2:   1 Geometric Introduction of Function Notation
  260.    wt: 2:   Introduction Reading Guide
  261.    wt: 2:   9 Summary Degrees to Radians and back
  262.    wt: 2:   8 Radian Measures of Common Angles
  263.    wt: 2:   7 Radian Measures in special Triangles
  264.    wt: 2:   6 Radian Measure to Degrees
  265.    wt: 2:   5 Degrees to Radian Measure
  266.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  267.    wt: 2:   2 Radian Measure Numerical Value of one degree
  268.    wt: 2:   1 Degrees and Radians Introduction
  269.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  270.    wt: 2:   12 From Applied To Pure Mathematics
  271.    wt: 2:   4 Resultant of a Sum of Movements
  272.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  273.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  274.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  275.    wt: 2:   14 Law of cosines
  276.    wt: 2:   4 Multiplication Properties
  277.    wt: 2:   4 Similarity Definition with Coordinate
  278.    wt: 2:   12 Links Lessons elsewhere
  279.    wt: 2:   11 A Partial Summary
  280.    wt: 2:   10 Midpoint of [a b] and [b a]
  281.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  282.    wt: 2:   8 Mid Point Formula
  283.    wt: 2:   7 Exercises to test skill and concept mastery
  284.    wt: 2:   6 Intersection of lines by solving linear systems
  285.    wt: 2:   5 Algebraic View of Slopes
  286.    wt: 2:   3 Slope product for perpendicular lines
  287.    wt: 2:   2 point slope equation for a line
  288.    wt: 2:   1 Numerical view of lines and their equations
  289.    wt: 2:   What is and is not here
  290.    wt: 2:   4 Polar Coordinates to and from
  291.    wt: 2:   14 Parallel Lines Postulate
  292.    wt: 2:   4 Side Side Side
  293.    wt: 2:   4 Commutative Law Groups Counting Form
  294.    wt: 2:   4 Rates Ratios and Proporitionality
  295.    wt: 2:   4 Subtraction and Division Axioms
  296.    wt: 2:   4 Changing Letters
  297.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  298.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  299.    wt: 2:   3 GE III Equation Addition and Multiplication
  300.    wt: 2:   2 GE II Comparison
  301.    wt: 2:   1 GE Substitution four examples
  302.    wt: 2:   4 Solving a triangular system exercise
  303.    wt: 2:   4 Four Examples Fractional Coefficients
  304.    wt: 2:   4 Two Examples
  305.    wt: 2:   4 Square Roots with primes more
  306.    wt: 2:   1 Squares and Square Roots Introduction
  307.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  308.    wt: 2:   5 Common Divisors 60 45 via Prime
  309.    wt: 2:   4 LCM of 8 and 10 via Prime
  310.    wt: 2:   4 Counting with Trees Product Rule Take I
  311.    wt: 2:   4 Fractions with Units
  312.    wt: 2:   14 Adding and Subtracting with Like Denominators
  313.    wt: 2:   B Integer Long Division Multiple Choices
  314.    wt: 2:   13 video Factors of 24 using prime
  315.    wt: 2:   Long Division Backward
  316.    wt: 2:   Division with Counts and Length
  317.    wt: 2:   Long Division forwards and backwards Example 3
  318.    wt: 2:   Long Division forwards and backwards Example 2
  319.    wt: 2:   Long Division forwards and backwards Example 1
  320.    wt: 2:   12 Why Long Division Works Take III
  321.    wt: 2:   11 Another Single Digit Divisor Example
  322.    wt: 2:   10 Division by Five Long and Short Ways
  323.    wt: 2:   9 Why Long Division Works Take II
  324.    wt: 2:   8 Correcting the Mistake
  325.    wt: 2:   7 Long Divison Mistake Catching
  326.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  327.    wt: 2:   5 Long Division Include Zeroes or not
  328.    wt: 2:   3 Division Single Digit Divisor Example
  329.    wt: 2:   2 Division with Single Digit Divisors
  330.    wt: 2:   1 Divsion Physical Examples
  331.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  332.    wt: 2:   Subtraction with J Conversions Example
  333.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  334.    wt: 2:   Formula Evaluation how to show work
  335.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  336.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  337.    wt: 2:   A Related Material in Volume 3
  338.    wt: 2:   5 Area Under Curve Exercise
  339.    wt: 2:   3 Two Chain Rule Method Exercises
  340.    wt: 2:   1 Chain Rule in Reverse Integration Method
  341.    wt: 2:   A Related lessons in Volume 3
  342.    wt: 2:   2 Second derivative test prequel
  343.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  344.    wt: 2:   33 Chain Rule Real Player video examples
  345.    wt: 2:   25 Chain Rule Animated Examples Continued
  346.    wt: 2:   23 Chain Rule in general
  347.    wt: 2:   17 Derivatives of quotients of sine and cosine
  348.    wt: 2:   13 sine and cosine derivatives 1st step
  349.    wt: 2:   6 Power rule from product rule
  350.    wt: 2:   4 Sum Rule
  351.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  352.    wt: 2:   4 Numerical properties
  353.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  354.    wt: 2:   F.5b Extreme Value Theorem
  355.    wt: 2:   F.4 Finite Covering Theorem
  356.    wt: 2:   C Triangle Inequalities
  357.    wt: 2:   Chapter 23 Links To Trigonometry
  358.    wt: 2:   Chapter 22 Complex Numbers
  359.    wt: 2:   Chapter 21 Arrow Addition
  360.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  361.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  362.    wt: 2:   Chapter 18. Slopes Areas Integration
  363.    wt: 2:   Chapter 17. Area Approximation
  364.    wt: 2:   Chapter 16. Velocity Approximation
  365.    wt: 2:   Chapter 15. Slope Approximation
  366.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  367.    wt: 2:   Chapter 13. Acceleration
  368.    wt: 2:   Chapter 12. Units and Slopes
  369.    wt: 2:   Chapter 11. Graphing Slope versus Position
  370.    wt: 2:   Chapter 10 Slopes and Units
  371.    wt: 2:   Chapter 9 About First Courses in Calculus
  372.    wt: 2:   Chapter 8. Slope Interpretation
  373.    wt: 2:   Chapter 7 Slopes and Velocity
  374.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  375.    wt: 2:   Chapter 5. Slope Sign Tests
  376.    wt: 2:   Chapter 3. Slope Sign Analysis
  377.    wt: 2:   Chapter 2. Slopes and Ski Trails
  378.    wt: 2:   Chapter 1.Introduction
  379.    wt: 2:   Postscript More on Better Performance
  380.    wt: 2:   Postscript For Better Performance
  381.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  382.    wt: 2:   Postscript What is a Variable
  383.    wt: 2:   Solutions For Arithmetic Exercises
  384.    wt: 2:   Foreword
  385.    wt: 2:   Annotated Links to Material Elsehwere
  386.    wt: 2:   Postscript A Three Remarks
  387.    wt: 2:   Foreword
  388.    wt: 2:   Chapter 23 Truth Tables
  389.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  390.    wt: 2:   Chapter 21 Occurrence Tables
  391.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  392.    wt: 2:   Chapter 18 Sense and Knowledge
  393.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  394.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  395.    wt: 2:   Chapter 15 Objective Processes
  396.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  397.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  398.    wt: 2:   Chapter 11 Accidental Patterns
  399.    wt: 2:   Chapter 10 Responsibility
  400.    wt: 2:   Chapter 8 Change of Language
  401.    wt: 2:   Chapter 7 Longer Chains of Reason
  402.    wt: 2:   Chapter 6 Chains of Reason
  403.    wt: 2:   Chapter 5 Deception
  404.    wt: 2:   Chapter 2 Skill Development
  405.    wt: 2:   Chapter 1 Introduction
  406.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  407.    wt: 2:   N Mathematics Prepare for College Studies
  408.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  409.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  410.    wt: 2:   7 Games and Activities for Instruction
  411.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  412.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  413.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  414.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  415.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  416.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  417.    wt: 2:   Mathematics Education References
  418.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  419.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  420.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  421.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  422.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  423.    wt: 1:   chapitre 04 09 Regles accidentelles
  424.    wt: 1:   chapitre 04 08 Limitations et benefices
  425.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  426.    wt: 1:   chapitre 04 06 engagements
  427.    wt: 1:   chapitre 04 05 Implication versus suggestion
  428.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  429.    wt: 1:   chapitre 04 02 Deuxieme enigme
  430.    wt: 1:   chapitre 04 01 Premiere enigme
  431.    wt: 1:   chapitre 04 00 Les regles d implication
  432.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  433.    wt: 1:   4 Energy Power Heat09
  434.    wt: 1:   F Wire Resistance Calculation04
  435.    wt: 1:   B Wire Resistance Qualitative02
  436.    wt: 1:   C Electromotive force conventional current02
  437.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  438.    wt: 1:   22 Student Centered Highschool Mathematics
  439.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  440.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  441.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  442.    wt: 1:   18 Primary School Mathematics
  443.    wt: 1:   16 Secondary Mathematics Tips
  444.    wt: 1:   12 Goals and Objectives For Mathematics
  445.    wt: 1:   Ages 10 to 12 Geometry
  446.    wt: 1:   Ages 10 to 12 Arithmetic
  447.    wt: 1:   Ages 9 to 10
  448.    wt: 1:   Ages 8 to 9
  449.    wt: 1:   Ages 7 to 8
  450.    wt: 1:   Ages 6 to 7
  451.    wt: 1:   sign monoticity analysis example 3
  452.    wt: 1:   sign monoticity analysis example 2
  453.    wt: 1:   sign monoticity analysis example 1
  454.    wt: 1:   4 quadratics difference of two squares
  455.    wt: 1:   4 Polynomials Long division linear divisor
  456.    wt: 1:   14 secant function Definition Graph and Inverse
  457.    wt: 1:   4 possible motivation for term arccos
  458.    wt: 1:   5 Head To Tail Arrow Addition
  459.    wt: 1:   4 graphing y=Asin(x c)
  460.    wt: 1:   Triangle Angles Sum To 180 Degrees
  461.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  462.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  463.    wt: 1:   Straight Lines ASA Intersection Study More
  464.    wt: 1:   Straight Lines ASA Intersection Study
  465.    wt: 1:   Straight Lines Instersection Solving Equations
  466.    wt: 1:   14 Straight Lines Equations General Case
  467.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  468.    wt: 1:   4 Tangent Function Properties
  469.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  470.    wt: 1:   25 tangent double angle formula Slope connection
  471.    wt: 1:   24 tangent Angle Difference Formula
  472.    wt: 1:   16 Right Triangle Complementary Angle Relations
  473.    wt: 1:   14 cosine even and sine and tangent are odd
  474.    wt: 1:   7 period of sine and cosine
  475.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  476.    wt: 1:   8 Similarity of Triangles and Polygons
  477.    wt: 1:   PS D Addition with Cartesian Coordinates
  478.    wt: 1:   4 Angles on Maps Plans drawn to scale
  479.    wt: 1:   A Modular and Remainder Arithmetic
  480.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  481.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  482.    wt: 1:   4 Location of Point in Decimal Addition
  483.    wt: 1:   4 Fraction Operations Axiomatic Development
  484.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  485.    wt: 1:   6 Equations and Systems Equivalent or Implied
  486.    wt: 1:   5 Equality in Algebra
  487.    wt: 1:   3 Product Axioms Two Forms
  488.    wt: 1:   2 Addition and Multiplication Axioms
  489.    wt: 1:   1 Equivalent Computation Rules
  490.    wt: 1:   4 Comparison of Negative Numbers
  491.    wt: 1:   14 Real Number Multiplication
  492.    wt: 1:   4 Rational Numbers
  493.    wt: 1:   5 Independent versus Dependent Variables
  494.    wt: 1:   3 Geometric Formulas and Function Notation
  495.    wt: 1:   2 Computation Rules Evaluation
  496.    wt: 1:   1 Formulas Dependence and Function Notation
  497.    wt: 1:   Simple Exercises
  498.    wt: 1:   4 Circle Area Formula Example
  499.    wt: 1:   4 Subset Builder Notation
  500.    wt: 1:   4 A Brief Story of numbers and algebra
  501.    wt: 1:   arithmetic videos Real Player Format
  502.    wt: 1:   3 Comparison of Negative Numbers
  503.    wt: 1:   2 More and Less Than with Unlike Signs
  504.    wt: 1:   1 More and Less Than for Counts and Measures
  505.    wt: 1:   5 Square Roots with primes more still
  506.    wt: 1:   3 Properties of Square Roots with example
  507.    wt: 1:   2 Square Roots with Prime
  508.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  509.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  510.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  511.    wt: 1:   13 GCD from given Prime Factorization
  512.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  513.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  514.    wt: 1:   8 GCD from Euclidean Algorithm
  515.    wt: 1:   7 GCD and LCM from prime factorization
  516.    wt: 1:   6 GCD from Prime
  517.    wt: 1:   2 Least Common Multiple LCM intro via list method
  518.    wt: 1:   1 Least Common Multiples LCM Introduction
  519.    wt: 1:   12 GCD 2700 288 via Prime
  520.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  521.    wt: 1:   3 Counting with Tables and Trees II
  522.    wt: 1:   2 Counting with Tables and Trees I
  523.    wt: 1:   1 Counting and Counting Methods I
  524.    wt: 1:   11 What are real lengths and numbers
  525.    wt: 1:   10 dividing signed numbers
  526.    wt: 1:   9 subtracting signed numbers
  527.    wt: 1:   8 multiplying signed numbers
  528.    wt: 1:   7 negative and additive inverse
  529.    wt: 1:   6 adding signed numbers
  530.    wt: 1:   5 lengths and signs of numbers
  531.    wt: 1:   3 signed coordinates for maps and planes
  532.    wt: 1:   2 signed and unsigned numbers as coordinates
  533.    wt: 1:   7 Converting or Changing Units
  534.    wt: 1:   6 Simplification of Fractions with Units
  535.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  536.    wt: 1:   3 Multiplying Units and Numbers
  537.    wt: 1:   2 Equality and Units
  538.    wt: 1:   1 Addition and Subtraction with Units
  539.    wt: 1:   D Three Term Ratios
  540.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  541.    wt: 1:   B Fractions and Two Term Ratios
  542.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  543.    wt: 1:   22 Complex Compound Fractions
  544.    wt: 1:   21 Working With Signs
  545.    wt: 1:   21 Reciprocals for Fractions and Wholes
  546.    wt: 1:   20 Dividing Fractions the Why
  547.    wt: 1:   19 Dividing Fractions How TO
  548.    wt: 1:   18 Efficient Ways to Multiply
  549.    wt: 1:   17 Efficient Ways to Add and Subtract
  550.    wt: 1:   16 Addition Subtraction Comparision Compared
  551.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  552.    wt: 1:   13 Fraction Comparison Algebraic View
  553.    wt: 1:   12 Fraction Comparison
  554.    wt: 1:   11 Simplification an Algebraic View
  555.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  556.    wt: 1:   9 Improper Fractions and Mixed Numbers
  557.    wt: 1:   8 Numerals Fractionals Quantals Take II
  558.    wt: 1:   7 Numerals Fractionals Quantals
  559.    wt: 1:   6 Multiplication of Mixed Numbers
  560.    wt: 1:   6 Multiplication Algebraically Take II
  561.    wt: 1:   5 Equivalent Fractions
  562.    wt: 1:   3 Unit fraction of a fraction
  563.    wt: 1:   2 Unit Fraction Multiplication
  564.    wt: 1:   1 What is a fraction Take II
  565.    wt: 1:   1 What is a fraction
  566.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  567.    wt: 1:   D Remainders Modulo 11 Pair Rule
  568.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  569.    wt: 1:   A Associative Law Theorectical Note
  570.    wt: 1:   13 Subtraction with Additive Inverse
  571.    wt: 1:   12 Adding Integers More Examples
  572.    wt: 1:   11 Adding Integers Formulas and Examples
  573.    wt: 1:   10 Integer Multiplication Formulas
  574.    wt: 1:   9 Multiplying Integers
  575.    wt: 1:   8 Multiplication by Signed Numbers Integers
  576.    wt: 1:   7 Multiplication by Signs
  577.    wt: 1:   6 Multiplication by Natural Numbers
  578.    wt: 1:   5 Zero Movement and Additive Inverses
  579.    wt: 1:   3 Adding Movements with same direction
  580.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  581.    wt: 1:   1 Integers as Coordinates
  582.    wt: 1:   20 Uniqueness of Prime Factorization
  583.    wt: 1:   19 video Prime Factorization Unique
  584.    wt: 1:   18 video Count Factors given Prime Factorization
  585.    wt: 1:   17 Identify and Count Factors using Primes
  586.    wt: 1:   16 video Factors of 980 using prime
  587.    wt: 1:   15 video Factors of 20 using Prime Factorization
  588.    wt: 1:   12 LCD GCD and LCM using Primes
  589.    wt: 1:   11 Efficient Square Rule Use
  590.    wt: 1:   10 video Prime Factorization upto 23 squared
  591.    wt: 1:   9 video Prime Factorization upto 19 squared
  592.    wt: 1:   8 video Prime Factorization upto 19
  593.    wt: 1:   7 Calculator Usage Notes and Cautions
  594.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  595.    wt: 1:   5 Prime Factorization and a Square Rule
  596.    wt: 1:   3 video Primes and Composites from 9 times table
  597.    wt: 1:   2 Prime and Composites less than 16
  598.    wt: 1:   1 video how Products are bigger than factor
  599.    wt: 1:   D Decimal Multiplication Methods Derived
  600.    wt: 1:   C Counting Areas with Powers of Ten
  601.    wt: 1:   B Powers of Ten
  602.    wt: 1:   A Elementary Basis for Multiplication Methods
  603.    wt: 1:   6 Multiplication Commutes Order Not Important
  604.    wt: 1:   5 Decimal Fraction Multiplication
  605.    wt: 1:   3 More One Digit Multipliers
  606.    wt: 1:   2 One Digit Multipliers
  607.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  608.    wt: 1:   Video Power Notation in Decimal Expansion
  609.    wt: 1:   1 Why 3 times 5 gives 15
  610.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  611.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  612.    wt: 1:   Subtraction Another Video Lesson
  613.    wt: 1:   9 22 Minute Subtraction Review Video
  614.    wt: 1:   8 Subtraction with Units of Measure
  615.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  616.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  617.    wt: 1:   5 A Tip for Efficent Subtraction
  618.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  619.    wt: 1:   2 Subtraction Easy Case Examples
  620.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  621.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  622.    wt: 1:   8 What skills and work habits to require
  623.    wt: 1:   7 Adding decimal fractions using decimal point
  624.    wt: 1:   6. Counting and adding units and mixed units
  625.    wt: 1:   5. How to add decimals C. Examples
  626.    wt: 1:   3. How to add with decimals A sans conversions
  627.    wt: 1:   2 Decimal Counting Practices
  628.    wt: 1:   1. Explaining Addition Table
  629.    wt: 1:   11 Place Value SI Standard International way
  630.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  631.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  632.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  633.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  634.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  635.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  636.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  637.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  638.    wt: 1:   Quick history of numbers and algebra
  639.    wt: 1:   Exact Arithmetic Wholes and Fractions
  640.    wt: 1:   Expression Evaluation how to show work
  641.    wt: 1:   The 20 Times Table
  642.    wt: 1:   The 12 Times Table Visually
  643.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  644.    wt: 1:   About folder contents
  645.    wt: 1:   014 Counting Days with Calendars
  646.    wt: 1:   4 Mixing and Changing Units of Time
  647.    wt: 1:   Example 2 volume of a cone
  648.    wt: 1:   Example 1 volume of a pyramid
  649.    wt: 1:   Volume of Solid by Cross Sections Lesson
  650.    wt: 1:   Example 1. Area Between x and x squared
  651.    wt: 1:   Example 3
  652.    wt: 1:   Example 2
  653.    wt: 1:   Example 1
  654.    wt: 1:   Area Between Curves Lesson Take 2
  655.    wt: 1:   Area Between Curves Lesson Take 1
  656.    wt: 1:   Summary
  657.    wt: 1:   A Chain Rule Real Player video examples
  658.    wt: 1:   38 Formulas and derivatives for powers and roots
  659.    wt: 1:   36 Cube root derivative animated
  660.    wt: 1:   31 Derivatives of inverse functions
  661.    wt: 1:   30Chain Rule A Proof
  662.    wt: 1:   29 Chain Rule Optional Reading
  663.    wt: 1:   28 Chain Rule Preparation for a Proof
  664.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  665.    wt: 1:   26 Chain Rule Recognising outer inner functions
  666.    wt: 1:   22 Chain Rule for polynomials
  667.    wt: 1:   21 Chain Rule for powers
  668.    wt: 1:   20 Chain Rule for Pulley Systems
  669.    wt: 1:   19 Chain Rule for linear functions
  670.    wt: 1:   18 Chain Rule Introduction
  671.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  672.    wt: 1:   15 sine and cosine derivatives 3rd step
  673.    wt: 1:   12 Quotient rule examples
  674.    wt: 1:   11 Quotient rule
  675.    wt: 1:   10 Power rule for negative integers
  676.    wt: 1:   9 Reciprocal rule
  677.    wt: 1:   8 Differentiation of polynomials
  678.    wt: 1:   7 Animated Differentiation Examples
  679.    wt: 1:   5 Product Rule
  680.    wt: 1:   3 Motivation for Limit Definition Take 2
  681.    wt: 1:   2 Motivation for Limit Definition Take 1
  682.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  683.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  684.    wt: 1:   11 Limits at infinity Three Examples
  685.    wt: 1:   10 Three one sided limits with infinite values
  686.    wt: 1:   9 Limits Continuity and Composition
  687.    wt: 1:   8 Four Animated Examples
  688.    wt: 1:   7 Evaluation by immediate or delayed substitution
  689.    wt: 1:   6 Continuity at a point
  690.    wt: 1:   5 Jumps and absence of unlimited error control
  691.    wt: 1:   3 Decimal insights for limits continuity convergence
  692.    wt: 1:   2 Algebraic codification
  693.    wt: 1:   1 Numerical introduction
  694.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  695.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  696.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  697.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  698.    wt: 1:   G.5 Motions With Bounded Velocities
  699.    wt: 1:   G.3 Constant Difference Theorem Proof
  700.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  701.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  702.    wt: 1:   F.5a Equicontinuity Theorems
  703.    wt: 1:   F.3 Intermediate Value Theorem
  704.    wt: 1:   F.2 Closed Range Theorem
  705.    wt: 1:   F.1 What Functions are Continuous
  706.    wt: 1:   E2 Algebraic Properties of Limits
  707.    wt: 1:   E1 Error Control Inequalities
  708.    wt: 1:   D2 Limits of Monotone Sequences
  709.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  710.    wt: 1:   B3 Bolzano Weierstrass Theorem
  711.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  712.    wt: 1:   PostScript For and Against Decimal Perspectives
  713.    wt: 1:   A1. Introduction
  714.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  715.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  716.    wt: 1:   Fall 1983 Calculus Appetizer
  717.    wt: 1:   Foreword
  718.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  719.    wt: 1:   Postscript C Consistency as a Tool for Reason
  720.    wt: 1:   Postscript B More on Story Telling and Reason
  721.    wt: 1:   Postscript A Story Telling
  722.    wt: 1:   Three Remarks
  723.    wt: 1:   Foreword
  724.    wt: 1:   R Why Learn Mathematics Skills
  725.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  726.    wt: 1:   O On Learning Mathematics and Science
  727.    wt: 1:   I. Logic and language skills
  728.    wt: 1:   D. Check work a must with a caution
  729.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  730.    wt: 1:   Implementation Notes
  731.    wt: 1:   More Algebra and Slope based Calculus Preview
  732.    wt: 1:   Systematic Algebra Skill Development Missing Links
  733.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  734.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  735.    wt: 1:   Which Way To Go
  736.    wt: 10:   Skills Chapter 4 Logic
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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