Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

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

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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14 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 3:   Volume 1A Regles et modeles/
  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 2:   Volume 2 Three Skills For Algebra/
  5.    wt: 2:   Volume 1 Elements of Reason/
  6.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  7.    wt: 1:   10 Examples of Algebraic Reasoning/
  8.    wt: 1:   9 Proportionality Backwards and Forwards/
  9.    wt: 1:   8 Unifying Theme For Algebra/
  10.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  11.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  12.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  13.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  14.    wt: 1:   Volume 1B Mathematics Curriculum Notes/

Web Page Search

201 matches:

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

Extended Search

388 matches:

  1.    wt: 8:   Postscript C Consistency as a Tool for Reason
  2.    wt: 7:   Postscript B More on Story Telling and Reason
  3.    wt: 7:   Chapter 24 Direct and Indirect Reason
  4.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  5.    wt: 7:   Chapter 11 Accidental Patterns
  6.    wt: 7:   Chapter 7 Longer Chains of Reason
  7.    wt: 7:   Chapter 6 Chains of Reason
  8.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  9.    wt: 7:   Foreword
  10.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  11.    wt: 6:   Postscript A Story Telling
  12.    wt: 6:   Chapter 23 Truth Tables
  13.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  14.    wt: 6:   Chapter 21 Occurrence Tables
  15.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  16.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  17.    wt: 6:   Chapter 18 Sense and Knowledge
  18.    wt: 6:   Chapter 17 Objective Ways Trial and Error Discovery
  19.    wt: 6:   Chapter 15 Objective Processes
  20.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  21.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  22.    wt: 6:   Chapter 10 Responsibility
  23.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  24.    wt: 6:   Chapter 8 Change of Language
  25.    wt: 6:   Chapter 5 Deception
  26.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 4:   5 Box Volume Formula Example
  31.    wt: 4:   1 Written work formats for developing and showing skill
  32.    wt: 4:   Postscript For Better Performance
  33.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  34.    wt: 3:   chapitre 12 00 les iles et division
  35.    wt: 3:   chapitre 07 01 principle D induction mathematique
  36.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  37.    wt: 3:   chapitre 06 00 Chaines de la raison
  38.    wt: 3:   chapitre 05 00 Deception
  39.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  40.    wt: 3:   chapitre 04 09 Regles accidentelles
  41.    wt: 3:   chapitre 04 08 Limitations et benefices
  42.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  43.    wt: 3:   chapitre 04 06 engagements
  44.    wt: 3:   chapitre 04 05 Implication versus suggestion
  45.    wt: 3:   chapitre 04 04 Parlons de la logique
  46.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  47.    wt: 3:   chapitre 04 02 Deuxieme enigme
  48.    wt: 3:   chapitre 04 01 Premiere enigme
  49.    wt: 3:   chapitre 04 00 Les regles d implication
  50.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  51.    wt: 3:   chapitre 02 00 La Communication des idees
  52.    wt: 3:   chapitre 01 00 Introduction
  53.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  54.    wt: 3:   13 Naming Identifying Formulas with Words
  55.    wt: 3:   11 Volume of Sphere
  56.    wt: 3:   10 Volume of Pyramid
  57.    wt: 3:   9 Volume of Cone
  58.    wt: 3:   8 Compound Interest Formula Evaluation
  59.    wt: 3:   7 Compound Interest Formula Introduction
  60.    wt: 3:   4 Circle Area Formula Example
  61.    wt: 3:   3 Triangle Area Formula Example
  62.    wt: 3:   2 Another Rectangle Area Formula Example
  63.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  64.    wt: 3:   Postscript More on Better Performance
  65.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  66.    wt: 3:   Chapter 31 Direct and Indirect Reason
  67.    wt: 3:   Chapter 23. Notation For Sums
  68.    wt: 3:   Chapter 18. Rules for Algebra
  69.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  70.    wt: 3:   Chapter 8 Three Skills For Algebra
  71.    wt: 3:   Solutions For Arithmetic Exercises
  72.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  73.    wt: 3:   Chapter 4 Longer Chains of Reason
  74.    wt: 3:   Chapter 3 Chains of Reason
  75.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  76.    wt: 3:   Foreword
  77.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  78.    wt: 2:   formal or informal peer review
  79.    wt: 2:   Prequel In For A Penny In For A Pound
  80.    wt: 2:   5 Function notation for geometric transformations
  81.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  82.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  83.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  84.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  85.    wt: 2:   26 Formulas for products of sines and cosines
  86.    wt: 2:   17E Trig Formulas for dot and cross Products
  87.    wt: 2:   17D cis formulas for sine cosines and tangent
  88.    wt: 2:   13 Trig Formulas for dot and cross Products
  89.    wt: 2:   12 cis formulas for sine cosines and tangent
  90.    wt: 2:   4 Equations for lines three forms
  91.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  92.    wt: 2:   PS H Distributive Law For Complex Numbers
  93.    wt: 2:   Short Course on Euclidean Geometry
  94.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  95.    wt: 2:   6 Compound Interest Forward and Backwards
  96.    wt: 2:   5 Triangle Area Formula Backwards
  97.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  98.    wt: 2:   Formula Usage Show Work Format
  99.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  100.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  101.    wt: 2:   Example 2 volume of a cone
  102.    wt: 2:   Example 1 volume of a pyramid
  103.    wt: 2:   Volume of Solid by Cross Sections Lesson
  104.    wt: 2:   Area Between Curves Lesson Take 2
  105.    wt: 2:   A Related Material in Volume 3
  106.    wt: 2:   38 Formulas and derivatives for powers and roots
  107.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  108.    wt: 2:   PostScript For and Against Decimal Perspectives
  109.    wt: 2:   Foreword
  110.    wt: 2:   Appendix E. How To Study Mathematics and Why
  111.    wt: 2:   Appendix D. What to do in School and Why
  112.    wt: 2:   Appendix C. How to Read
  113.    wt: 2:   Appendix B. How To Learn
  114.    wt: 2:   Chapter 30 Truth Tables
  115.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  116.    wt: 2:   Chapter 28 Occurrence Tables
  117.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  118.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  119.    wt: 2:   Chapter 25. Mathematical Induction Examples
  120.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  121.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  122.    wt: 2:   Chapter 21. Third Reading Guide
  123.    wt: 2:   Chapter 20. Degrees and Radians
  124.    wt: 2:   Chapter 19. Functions and Sets
  125.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  126.    wt: 2:   Chapter 16. Painless Theorem Proving
  127.    wt: 2:   Chapter 15. Solving Linear Equations
  128.    wt: 2:   Chapter 13. Second Reading Guide
  129.    wt: 2:   Chapter 12. Shorthand Usage Guide
  130.    wt: 2:   Chapter 11. Why Shorthand
  131.    wt: 2:   Chapter 10 Describing and Changing Calculations
  132.    wt: 2:   Postscript What is a Variable
  133.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  134.    wt: 2:   Chapter 6 Change of Language
  135.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  136.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  137.    wt: 2:   Chapter 2 For and Against Mathematics
  138.    wt: 2:   Foreword
  139.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  140.    wt: 2:   G. Written work formats for developing and showing skill
  141.    wt: 1:   3 Euclidean Geometry Leanly
  142.    wt: 1:   three goals to set for students
  143.    wt: 1:   permissions for teachers
  144.    wt: 1:   activities for students
  145.    wt: 1:   Education Reform Inconsistencies
  146.    wt: 1:   geometric implications for algebra
  147.    wt: 1:   teaching tutoring algebraic reason
  148.    wt: 1:   three goals for Mathematics Education
  149.    wt: 1:   02 21 words for teachers
  150.    wt: 1:   three aims for mathematics students
  151.    wt: 1:   standards for course material
  152.    wt: 1:   Different Kinds of Reasoning in maths
  153.    wt: 1:   three kinds of reason in mathematics
  154.    wt: 1:   Four ways to improve education reform
  155.    wt: 1:   need for a mixed mathematics curriculum
  156.    wt: 1:   fairness and inductive principles for instruction
  157.    wt: 1:   words for mathematics instructor
  158.    wt: 1:   C Electromotive force conventional current02
  159.    wt: 1:   B Electromotive force conventional current01
  160.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  161.    wt: 1:   24 Standards For Skill Develoment Take II
  162.    wt: 1:   24 Standards For Skill Develoment
  163.    wt: 1:   17 Math Booklets for children and young teenagers
  164.    wt: 1:   15 Counting For Parents
  165.    wt: 1:   12 Goals and Objectives For Mathematics
  166.    wt: 1:   10 Ends values for work study instruction
  167.    wt: 1:   5 Patience Please for Yourself and Your Charges
  168.    wt: 1:   4 Learning Takes Time and Effort
  169.    wt: 1:   3 Preparing for Science Studies
  170.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  171.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  172.    wt: 1:   6 Set Existence Formation and Notation
  173.    wt: 1:   3 Formula or function graphing exercise
  174.    wt: 1:   8 quadratics backward use of various formulas
  175.    wt: 1:   7 quadratic formulla derivation
  176.    wt: 1:   10 Exponential Growth and Decay Models
  177.    wt: 1:   8 Notes for instructors or tutors
  178.    wt: 1:   12 motivation for term arctan
  179.    wt: 1:   9 motivation for name arcsin
  180.    wt: 1:   4 possible motivation for term arccos
  181.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  182.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  183.    wt: 1:   8 Straight Lines Equation for vertical
  184.    wt: 1:   17 tangent function angle sum formulas
  185.    wt: 1:   29 secant cosecant and cotangent for acute angles
  186.    wt: 1:   25 tangent double angle formula Slope connection
  187.    wt: 1:   24 tangent Angle Difference Formula
  188.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  189.    wt: 1:   21 sine and cosine Half Angle Formulas
  190.    wt: 1:   20 sine and cosine Double Angle Formulas
  191.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  192.    wt: 1:   17C sine and cosine double triple angle formulas
  193.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  194.    wt: 1:   12 Graph of tangent function for one period
  195.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  196.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  197.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  198.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  199.    wt: 1:   11 sine and cosine double triple angle formulas
  200.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  201.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  202.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  203.    wt: 1:   8 Mid Point Formula
  204.    wt: 1:   3 Slope product for perpendicular lines
  205.    wt: 1:   2 point slope equation for a line
  206.    wt: 1:   13 Pythagorean spatial distance formulas
  207.    wt: 1:   10 Pythagorean plane distance formula
  208.    wt: 1:   PS G Rotation Distributes over Addition
  209.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  210.    wt: 1:   PS E Multiplication with Polar Coordinates
  211.    wt: 1:   PS D Addition with Cartesian Coordinates
  212.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  213.    wt: 1:   PS B Parallelogram Construction Methods
  214.    wt: 1:   PS A Kite Construction Methods
  215.    wt: 1:   21 Parallelograms
  216.    wt: 1:   19 Right Triangle Similarity
  217.    wt: 1:   18 Triangle Similarity Take 1
  218.    wt: 1:   17 Right Bisectors of Triangle Sides
  219.    wt: 1:   16 Angles Subtended By Chords and Diameters
  220.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  221.    wt: 1:   14 Parallel Lines Postulate
  222.    wt: 1:   13 Angle Side Angle Failure
  223.    wt: 1:   12 Side Angle Side Failure
  224.    wt: 1:   11 Triangle Construction Fails
  225.    wt: 1:   10 Dropping a perpendicular to line
  226.    wt: 1:   9 Construction of a right bisector
  227.    wt: 1:   8 Isoceles Triangles
  228.    wt: 1:   7 Angle Side Angle
  229.    wt: 1:   6 Ruler and compass Angle Bisection
  230.    wt: 1:   5 Side Angle Side
  231.    wt: 1:   4 Side Side Side
  232.    wt: 1:   3 Isometry of Triangles Congruence
  233.    wt: 1:   2 Correspondence between Triangles
  234.    wt: 1:   1 Initial Concepts and Terms
  235.    wt: 1:   6 Column Methods for Decimal Multiplication
  236.    wt: 1:   5 Distributive Law for Whole Numbers
  237.    wt: 1:   4 Commutative Law Groups Counting Form
  238.    wt: 1:   5 Areas of Rectangles Revisited
  239.    wt: 1:   4 Fraction Operations Axiomatic Development
  240.    wt: 1:   3 Inequalities Algebraically
  241.    wt: 1:   2 Fraction Operations Physical Development
  242.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  243.    wt: 1:   5 Proportionality in Equivalent Fractions
  244.    wt: 1:   4 Rates Ratios and Proporitionality
  245.    wt: 1:   3 Proportionality Examples
  246.    wt: 1:   2 Algebraic View
  247.    wt: 1:   1 What is Proportionality
  248.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  249.    wt: 1:   3 Linear Equation Literal Solution More
  250.    wt: 1:   2 Linear Equation Literal Solution
  251.    wt: 1:   1 Changing Calculations
  252.    wt: 1:   3 Product Axioms Two Forms
  253.    wt: 1:   2 More and Less Than for Counts and Measures
  254.    wt: 1:   9 Coordinates for Regions in Space
  255.    wt: 1:   8 Coordinates for Maps and Planes
  256.    wt: 1:   3 Geometric Formulas and Function Notation
  257.    wt: 1:   1 Formulas Dependence and Function Notation
  258.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  259.    wt: 1:   6 Algebraic Solution Example
  260.    wt: 1:   5 Algebraic Solutions Introduction
  261.    wt: 1:   4 Four Examples Fractional Coefficients
  262.    wt: 1:   3 Four Examples
  263.    wt: 1:   2 Three Examples
  264.    wt: 1:   1 Proper Equal Sign Usage
  265.    wt: 1:   Using Letters for Physical Quantities
  266.    wt: 1:   1 Three Skills For Algebra
  267.    wt: 1:   arithmetic videos Real Player Format
  268.    wt: 1:   1 More and Less Than for Counts and Measures
  269.    wt: 1:   8 GCD from Euclidean Algorithm
  270.    wt: 1:   4 signed coordinates for regions in space
  271.    wt: 1:   3 signed coordinates for maps and planes
  272.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  273.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  274.    wt: 1:   21 Reciprocals for Fractions and Wholes
  275.    wt: 1:   11 Adding Integers Formulas and Examples
  276.    wt: 1:   10 Integer Multiplication Formulas
  277.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  278.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  279.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  280.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  281.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  282.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  283.    wt: 1:   Long Division forwards and backwards Example 3
  284.    wt: 1:   Long Division forwards and backwards Example 2
  285.    wt: 1:   Long Division forwards and backwards Example 1
  286.    wt: 1:   A Elementary Basis for Multiplication Methods
  287.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  288.    wt: 1:   5 A Tip for Efficent Subtraction
  289.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  290.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  291.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  292.    wt: 1:   Formula Evaluation how to show work
  293.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  294.    wt: 1:   Example 1. Area Between x and x squared
  295.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  296.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  297.    wt: 1:   Example 4 with x function of y
  298.    wt: 1:   Example 3
  299.    wt: 1:   Example 2
  300.    wt: 1:   Example 1
  301.    wt: 1:   Area Between Curves Lesson Take 1
  302.    wt: 1:   Summary
  303.    wt: 1:   A Related lessons in Volume 3
  304.    wt: 1:   28 Chain Rule Preparation for a Proof
  305.    wt: 1:   22 Chain Rule for polynomials
  306.    wt: 1:   21 Chain Rule for powers
  307.    wt: 1:   20 Chain Rule for Pulley Systems
  308.    wt: 1:   19 Chain Rule for linear functions
  309.    wt: 1:   10 Power rule for negative integers
  310.    wt: 1:   3 Motivation for Limit Definition Take 2
  311.    wt: 1:   2 Motivation for Limit Definition Take 1
  312.    wt: 1:   3 Decimal insights for limits continuity convergence
  313.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  314.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  315.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  316.    wt: 1:   G.5 Motions With Bounded Velocities
  317.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  318.    wt: 1:   G.3 Constant Difference Theorem Proof
  319.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  320.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  321.    wt: 1:   F.5b Extreme Value Theorem
  322.    wt: 1:   F.5a Equicontinuity Theorems
  323.    wt: 1:   F.4 Finite Covering Theorem
  324.    wt: 1:   F.3 Intermediate Value Theorem
  325.    wt: 1:   F.2 Closed Range Theorem
  326.    wt: 1:   F.1 What Functions are Continuous
  327.    wt: 1:   E2 Algebraic Properties of Limits
  328.    wt: 1:   E1 Error Control Inequalities
  329.    wt: 1:   D2 Limits of Monotone Sequences
  330.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  331.    wt: 1:   C Triangle Inequalities
  332.    wt: 1:   B3 Bolzano Weierstrass Theorem
  333.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  334.    wt: 1:   A1. Introduction
  335.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  336.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  337.    wt: 1:   Chapter 23 Links To Trigonometry
  338.    wt: 1:   Chapter 22 Complex Numbers
  339.    wt: 1:   Chapter 21 Arrow Addition
  340.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  341.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  342.    wt: 1:   Chapter 18. Slopes Areas Integration
  343.    wt: 1:   Chapter 17. Area Approximation
  344.    wt: 1:   Chapter 16. Velocity Approximation
  345.    wt: 1:   Chapter 15. Slope Approximation
  346.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  347.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  348.    wt: 1:   Chapter 13. Acceleration
  349.    wt: 1:   Chapter 12. Units and Slopes
  350.    wt: 1:   Chapter 11. Graphing Slope versus Position
  351.    wt: 1:   Chapter 10 Slopes and Units
  352.    wt: 1:   Chapter 9 About First Courses in Calculus
  353.    wt: 1:   Chapter 8. Slope Interpretation
  354.    wt: 1:   Chapter 7 Slopes and Velocity
  355.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  356.    wt: 1:   Chapter 5. Slope Sign Tests
  357.    wt: 1:   Chapter 4. More Slope Sign Analysis
  358.    wt: 1:   Chapter 3. Slope Sign Analysis
  359.    wt: 1:   Chapter 2. Slopes and Ski Trails
  360.    wt: 1:   Chapter 1.Introduction
  361.    wt: 1:   Fall 1983 Calculus Appetizer
  362.    wt: 1:   Annotated Links to Material Elsehwere
  363.    wt: 1:   Postscript B Mathematics Education References
  364.    wt: 1:   Postscript A Three Remarks
  365.    wt: 1:   Chapter 12 Four Phases
  366.    wt: 1:   Chapter 11 Elementary Instruction
  367.    wt: 1:   Chapter 10 Transition
  368.    wt: 1:   Chapter 9 The Two Ends
  369.    wt: 1:   Chapter 8 Modern Instruction
  370.    wt: 1:   Chapter 7 Two Treatments of Geometry
  371.    wt: 1:   Chapter 5 Four References
  372.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  373.    wt: 1:   Chapter 3 Algebra Difficulties
  374.    wt: 1:   Chapter 1 Introduction
  375.    wt: 1:   N Mathematics Prepare for College Studies
  376.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  377.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  378.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  379.    wt: 1:   7 Games and Activities for Instruction
  380.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  381.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  382.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  383.    wt: 1:   More Algebra and Slope based Calculus Preview
  384.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  385.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  386.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  387.    wt: 1:   The Math Forum and Site Content
  388.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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