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

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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16 matches:

  1.    wt: 2:   Parent Center/
  2.    wt: 2:   2 Formula Forward Use Evaluation/
  3.    wt: 2:   Secondary Mathematics A Practical Approach/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 1:   Mathematics Education Essays/
  7.    wt: 1:   Mathematics Skills Year by Year/
  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:   Volume 2 Three Skills For Algebra/
  12.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  13.    wt: 1:   Work and Study Tips/
  14.    wt: 1:   Mathematics 506 Lessons/
  15.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  16.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

208 matches:

  1.    wt: 3:   16 Secondary Mathematics Tips
  2.    wt: 2:   Secondary Three Mathematics
  3.    wt: 2:   Secondary Two Mathematics
  4.    wt: 2:   Secondary One Mathematics
  5.    wt: 2:   three goals for Mathematics Education
  6.    wt: 2:   three aims for mathematics students
  7.    wt: 2:   formal or informal peer review
  8.    wt: 2:   need for a mixed mathematics curriculum
  9.    wt: 2:   Prequel In For A Penny In For A Pound
  10.    wt: 2:   words for mathematics instructor
  11.    wt: 2:   22 Student Centered Highschool Mathematics
  12.    wt: 2:   15 Counting For Parents
  13.    wt: 2:   12 Goals and Objectives For Mathematics
  14.    wt: 2:   5 Function notation for geometric transformations
  15.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  16.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  17.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  18.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  19.    wt: 2:   26 Formulas for products of sines and cosines
  20.    wt: 2:   17E Trig Formulas for dot and cross Products
  21.    wt: 2:   17D cis formulas for sine cosines and tangent
  22.    wt: 2:   13 Trig Formulas for dot and cross Products
  23.    wt: 2:   12 cis formulas for sine cosines and tangent
  24.    wt: 2:   4 Equations for lines three forms
  25.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  26.    wt: 2:   Formula Usage Show Work Format
  27.    wt: 2:   1 Written work formats for developing and showing skill
  28.    wt: 2:   38 Formulas and derivatives for powers and roots
  29.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  30.    wt: 2:   Postscript For Better Performance
  31.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  32.    wt: 2:   Chapter 2 For and Against Mathematics
  33.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  34.    wt: 2:   N Mathematics Prepare for College Studies
  35.    wt: 2:   G. Written work formats for developing and showing skill
  36.    wt: 1:   E LAMP Introduction Modern Mathematics
  37.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  38.    wt: 1:   11 pure mathematics
  39.    wt: 1:   three goals to set for students
  40.    wt: 1:   permissions for teachers
  41.    wt: 1:   activities for students
  42.    wt: 1:   Mathematics Education Professors
  43.    wt: 1:   mathematics in context
  44.    wt: 1:   Education Reform Inconsistencies
  45.    wt: 1:   teaching tips
  46.    wt: 1:   mathematics curriculum shifts
  47.    wt: 1:   geometric implications for algebra
  48.    wt: 1:   04 29 New Mathematics Curriculum
  49.    wt: 1:   02 21 words for teachers
  50.    wt: 1:   02 20 mathematics education references
  51.    wt: 1:   standards for course material
  52.    wt: 1:   mathematics instruction in general
  53.    wt: 1:   Education in mathematics science and technology
  54.    wt: 1:   three kinds of reason in mathematics
  55.    wt: 1:   Four ways to improve education reform
  56.    wt: 1:   Leaner mathematics curriculum
  57.    wt: 1:   fairness and inductive principles for instruction
  58.    wt: 1:   C Electromotive force conventional current02
  59.    wt: 1:   B Electromotive force conventional current01
  60.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  61.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  62.    wt: 1:   24 Standards For Skill Develoment Take II
  63.    wt: 1:   24 Standards For Skill Develoment
  64.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  65.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  66.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  67.    wt: 1:   18 Primary School Mathematics
  68.    wt: 1:   17 Math Booklets for children and young teenagers
  69.    wt: 1:   10 Ends values for work study instruction
  70.    wt: 1:   5 Patience Please for Yourself and Your Charges
  71.    wt: 1:   4 Learning Takes Time and Effort
  72.    wt: 1:   3 Preparing for Science Studies
  73.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  74.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  75.    wt: 1:   6 Set Existence Formation and Notation
  76.    wt: 1:   4 Function notation in and beyond mathematics
  77.    wt: 1:   3 Formula or function graphing exercise
  78.    wt: 1:   8 quadratics backward use of various formulas
  79.    wt: 1:   7 quadratic formulla derivation
  80.    wt: 1:   8 Notes for instructors or tutors
  81.    wt: 1:   12 motivation for term arctan
  82.    wt: 1:   9 motivation for name arcsin
  83.    wt: 1:   4 possible motivation for term arccos
  84.    wt: 1:   12 From Applied To Pure Mathematics
  85.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  86.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  87.    wt: 1:   8 Straight Lines Equation for vertical
  88.    wt: 1:   17 tangent function angle sum formulas
  89.    wt: 1:   29 secant cosecant and cotangent for acute angles
  90.    wt: 1:   25 tangent double angle formula Slope connection
  91.    wt: 1:   24 tangent Angle Difference Formula
  92.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  93.    wt: 1:   21 sine and cosine Half Angle Formulas
  94.    wt: 1:   20 sine and cosine Double Angle Formulas
  95.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  96.    wt: 1:   17C sine and cosine double triple angle formulas
  97.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  98.    wt: 1:   12 Graph of tangent function for one period
  99.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  100.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  101.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  102.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  103.    wt: 1:   11 sine and cosine double triple angle formulas
  104.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  105.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  106.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  107.    wt: 1:   8 Mid Point Formula
  108.    wt: 1:   3 Slope product for perpendicular lines
  109.    wt: 1:   2 point slope equation for a line
  110.    wt: 1:   13 Pythagorean spatial distance formulas
  111.    wt: 1:   10 Pythagorean plane distance formula
  112.    wt: 1:   PS H Distributive Law For Complex Numbers
  113.    wt: 1:   6 Column Methods for Decimal Multiplication
  114.    wt: 1:   5 Distributive Law for Whole Numbers
  115.    wt: 1:   4 Commutative Law Groups Counting Form
  116.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  117.    wt: 1:   6 Compound Interest Forward and Backwards
  118.    wt: 1:   5 Triangle Area Formula Backwards
  119.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  120.    wt: 1:   3 Product Axioms Two Forms
  121.    wt: 1:   2 More and Less Than for Counts and Measures
  122.    wt: 1:   9 Coordinates for Regions in Space
  123.    wt: 1:   8 Coordinates for Maps and Planes
  124.    wt: 1:   3 Geometric Formulas and Function Notation
  125.    wt: 1:   1 Formulas Dependence and Function Notation
  126.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  127.    wt: 1:   Using Letters for Physical Quantities
  128.    wt: 1:   13 Naming Identifying Formulas with Words
  129.    wt: 1:   8 Compound Interest Formula Evaluation
  130.    wt: 1:   7 Compound Interest Formula Introduction
  131.    wt: 1:   5 Box Volume Formula Example
  132.    wt: 1:   4 Circle Area Formula Example
  133.    wt: 1:   3 Triangle Area Formula Example
  134.    wt: 1:   2 Another Rectangle Area Formula Example
  135.    wt: 1:   1 Three Skills For Algebra
  136.    wt: 1:   arithmetic videos Real Player Format
  137.    wt: 1:   1 More and Less Than for Counts and Measures
  138.    wt: 1:   4 signed coordinates for regions in space
  139.    wt: 1:   3 signed coordinates for maps and planes
  140.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  141.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  142.    wt: 1:   21 Reciprocals for Fractions and Wholes
  143.    wt: 1:   11 Adding Integers Formulas and Examples
  144.    wt: 1:   10 Integer Multiplication Formulas
  145.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  146.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  147.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  148.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  149.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  150.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  151.    wt: 1:   Long Division forwards and backwards Example 3
  152.    wt: 1:   Long Division forwards and backwards Example 2
  153.    wt: 1:   Long Division forwards and backwards Example 1
  154.    wt: 1:   A Elementary Basis for Multiplication Methods
  155.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  156.    wt: 1:   5 A Tip for Efficent Subtraction
  157.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  158.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  159.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  160.    wt: 1:   Formula Evaluation how to show work
  161.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  162.    wt: 1:   28 Chain Rule Preparation for a Proof
  163.    wt: 1:   22 Chain Rule for polynomials
  164.    wt: 1:   21 Chain Rule for powers
  165.    wt: 1:   20 Chain Rule for Pulley Systems
  166.    wt: 1:   19 Chain Rule for linear functions
  167.    wt: 1:   10 Power rule for negative integers
  168.    wt: 1:   3 Motivation for Limit Definition Take 2
  169.    wt: 1:   2 Motivation for Limit Definition Take 1
  170.    wt: 1:   3 Decimal insights for limits continuity convergence
  171.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  172.    wt: 1:   PostScript For and Against Decimal Perspectives
  173.    wt: 1:   Foreword
  174.    wt: 1:   Postscript More on Better Performance
  175.    wt: 1:   Appendix E. How To Study Mathematics and Why
  176.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  177.    wt: 1:   Chapter 23. Notation For Sums
  178.    wt: 1:   Chapter 18. Rules for Algebra
  179.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  180.    wt: 1:   Chapter 8 Three Skills For Algebra
  181.    wt: 1:   Solutions For Arithmetic Exercises
  182.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  183.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  184.    wt: 1:   Foreword
  185.    wt: 1:   Postscript B Mathematics Education References
  186.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  187.    wt: 1:   Foreword
  188.    wt: 1:   Postscript C Consistency as a Tool for Reason
  189.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  190.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  191.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  192.    wt: 1:   Foreword
  193.    wt: 1:   R Why Learn Mathematics Skills
  194.    wt: 1:   O On Learning Mathematics and Science
  195.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  196.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  197.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  198.    wt: 1:   7 Games and Activities for Instruction
  199.    wt: 1:   Helping the Blind in Logic and Mathematics
  200.    wt: 1:   Mathematics Education References
  201.    wt: 1:   Mathematics Education References
  202.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  203.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  204.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  205.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  206.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  207.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  208.    wt: 1:   The Math Forum and Site Content

Extended Search

398 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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