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

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 2:   Work and Study Tips/
  5.    wt: 1:   LAMP Lean Applied Mathematics Program/
  6.    wt: 1:   Archives/
  7.    wt: 1:   9 Proportionality Backwards and Forwards/
  8.    wt: 1:   8 Unifying Theme For Algebra/
  9.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 1:   1 Working With Sets/
  11.    wt: 1:   Volume 2 Three Skills For Algebra/
  12.    wt: 1:   Mathematics Skill Development Framework/

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200 matches:

  1.    wt: 5:   10 Ends values for work study instruction
  2.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  3.    wt: 3:   Formula Usage Show Work Format
  4.    wt: 3:   1 Written work formats for developing and showing skill
  5.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  6.    wt: 3:   G. Written work formats for developing and showing skill
  7.    wt: 2:   Education Reform Inconsistencies
  8.    wt: 2:   three goals for Mathematics Education
  9.    wt: 2:   formal or informal peer review
  10.    wt: 2:   Four ways to improve education reform
  11.    wt: 2:   Prequel In For A Penny In For A Pound
  12.    wt: 2:   5 Function notation for geometric transformations
  13.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  14.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  15.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  16.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  17.    wt: 2:   26 Formulas for products of sines and cosines
  18.    wt: 2:   17E Trig Formulas for dot and cross Products
  19.    wt: 2:   17D cis formulas for sine cosines and tangent
  20.    wt: 2:   13 Trig Formulas for dot and cross Products
  21.    wt: 2:   12 cis formulas for sine cosines and tangent
  22.    wt: 2:   4 Equations for lines three forms
  23.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  24.    wt: 2:   Formula Evaluation how to show work
  25.    wt: 2:   38 Formulas and derivatives for powers and roots
  26.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  27.    wt: 2:   Postscript For Better Performance
  28.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  29.    wt: 1:   K LAMP Musings Science Education
  30.    wt: 1:   I LAMP Introduction Study Habits
  31.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  32.    wt: 1:   three goals to set for students
  33.    wt: 1:   permissions for teachers
  34.    wt: 1:   activities for students
  35.    wt: 1:   links Education Resources online
  36.    wt: 1:   Mathematics Education Professors
  37.    wt: 1:   modern education
  38.    wt: 1:   geometric implications for algebra
  39.    wt: 1:   02 21 words for teachers
  40.    wt: 1:   02 20 mathematics education references
  41.    wt: 1:   three aims for mathematics students
  42.    wt: 1:   standards for course material
  43.    wt: 1:   Education in mathematics science and technology
  44.    wt: 1:   need for a mixed mathematics curriculum
  45.    wt: 1:   education an empirical art
  46.    wt: 1:   fairness and inductive principles for instruction
  47.    wt: 1:   words for mathematics instructor
  48.    wt: 1:   C Electromotive force conventional current02
  49.    wt: 1:   B Electromotive force conventional current01
  50.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  51.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  52.    wt: 1:   24 Standards For Skill Develoment Take II
  53.    wt: 1:   24 Standards For Skill Develoment
  54.    wt: 1:   17 Math Booklets for children and young teenagers
  55.    wt: 1:   15 Counting For Parents
  56.    wt: 1:   12 Goals and Objectives For Mathematics
  57.    wt: 1:   11 Help and Defend Your Child or Teens Education
  58.    wt: 1:   5 Patience Please for Yourself and Your Charges
  59.    wt: 1:   4 Learning Takes Time and Effort
  60.    wt: 1:   3 Preparing for Science Studies
  61.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  62.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  63.    wt: 1:   6 Set Existence Formation and Notation
  64.    wt: 1:   3 Formula or function graphing exercise
  65.    wt: 1:   8 quadratics backward use of various formulas
  66.    wt: 1:   7 quadratic formulla derivation
  67.    wt: 1:   8 Notes for instructors or tutors
  68.    wt: 1:   12 motivation for term arctan
  69.    wt: 1:   9 motivation for name arcsin
  70.    wt: 1:   4 possible motivation for term arccos
  71.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  72.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  73.    wt: 1:   Straight Lines ASA Intersection Study More
  74.    wt: 1:   Straight Lines ASA Intersection Study
  75.    wt: 1:   8 Straight Lines Equation for vertical
  76.    wt: 1:   17 tangent function angle sum formulas
  77.    wt: 1:   29 secant cosecant and cotangent for acute angles
  78.    wt: 1:   25 tangent double angle formula Slope connection
  79.    wt: 1:   24 tangent Angle Difference Formula
  80.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  81.    wt: 1:   21 sine and cosine Half Angle Formulas
  82.    wt: 1:   20 sine and cosine Double Angle Formulas
  83.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  84.    wt: 1:   17C sine and cosine double triple angle formulas
  85.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  86.    wt: 1:   12 Graph of tangent function for one period
  87.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  88.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  89.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  90.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  91.    wt: 1:   11 sine and cosine double triple angle formulas
  92.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  93.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  94.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  95.    wt: 1:   8 Mid Point Formula
  96.    wt: 1:   3 Slope product for perpendicular lines
  97.    wt: 1:   2 point slope equation for a line
  98.    wt: 1:   13 Pythagorean spatial distance formulas
  99.    wt: 1:   10 Pythagorean plane distance formula
  100.    wt: 1:   PS H Distributive Law For Complex Numbers
  101.    wt: 1:   6 Column Methods for Decimal Multiplication
  102.    wt: 1:   5 Distributive Law for Whole Numbers
  103.    wt: 1:   4 Commutative Law Groups Counting Form
  104.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  105.    wt: 1:   6 Compound Interest Forward and Backwards
  106.    wt: 1:   5 Triangle Area Formula Backwards
  107.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  108.    wt: 1:   3 Product Axioms Two Forms
  109.    wt: 1:   2 More and Less Than for Counts and Measures
  110.    wt: 1:   9 Coordinates for Regions in Space
  111.    wt: 1:   8 Coordinates for Maps and Planes
  112.    wt: 1:   3 Geometric Formulas and Function Notation
  113.    wt: 1:   1 Formulas Dependence and Function Notation
  114.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  115.    wt: 1:   Using Letters for Physical Quantities
  116.    wt: 1:   13 Naming Identifying Formulas with Words
  117.    wt: 1:   8 Compound Interest Formula Evaluation
  118.    wt: 1:   7 Compound Interest Formula Introduction
  119.    wt: 1:   5 Box Volume Formula Example
  120.    wt: 1:   4 Circle Area Formula Example
  121.    wt: 1:   3 Triangle Area Formula Example
  122.    wt: 1:   2 Another Rectangle Area Formula Example
  123.    wt: 1:   1 Three Skills For Algebra
  124.    wt: 1:   arithmetic videos Real Player Format
  125.    wt: 1:   1 More and Less Than for Counts and Measures
  126.    wt: 1:   4 signed coordinates for regions in space
  127.    wt: 1:   3 signed coordinates for maps and planes
  128.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  129.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  130.    wt: 1:   21 Working With Signs
  131.    wt: 1:   21 Reciprocals for Fractions and Wholes
  132.    wt: 1:   11 Adding Integers Formulas and Examples
  133.    wt: 1:   10 Integer Multiplication Formulas
  134.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  135.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  136.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  137.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  138.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  139.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  140.    wt: 1:   Long Division forwards and backwards Example 3
  141.    wt: 1:   Long Division forwards and backwards Example 2
  142.    wt: 1:   Long Division forwards and backwards Example 1
  143.    wt: 1:   12 Why Long Division Works Take III
  144.    wt: 1:   9 Why Long Division Works Take II
  145.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  146.    wt: 1:   A Elementary Basis for Multiplication Methods
  147.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  148.    wt: 1:   5 A Tip for Efficent Subtraction
  149.    wt: 1:   8 What skills and work habits to require
  150.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  151.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  152.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  153.    wt: 1:   Expression Evaluation how to show work
  154.    wt: 1:   015 School and work day counting tables
  155.    wt: 1:   28 Chain Rule Preparation for a Proof
  156.    wt: 1:   22 Chain Rule for polynomials
  157.    wt: 1:   21 Chain Rule for powers
  158.    wt: 1:   20 Chain Rule for Pulley Systems
  159.    wt: 1:   19 Chain Rule for linear functions
  160.    wt: 1:   10 Power rule for negative integers
  161.    wt: 1:   3 Motivation for Limit Definition Take 2
  162.    wt: 1:   2 Motivation for Limit Definition Take 1
  163.    wt: 1:   10 Three one sided limits with infinite values
  164.    wt: 1:   3 Decimal insights for limits continuity convergence
  165.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  166.    wt: 1:   PostScript For and Against Decimal Perspectives
  167.    wt: 1:   Foreword
  168.    wt: 1:   Postscript More on Better Performance
  169.    wt: 1:   Appendix E. How To Study Mathematics and Why
  170.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  171.    wt: 1:   Chapter 23. Notation For Sums
  172.    wt: 1:   Chapter 18. Rules for Algebra
  173.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  174.    wt: 1:   Chapter 8 Three Skills For Algebra
  175.    wt: 1:   Solutions For Arithmetic Exercises
  176.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  177.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  178.    wt: 1:   Foreword
  179.    wt: 1:   Postscript B Mathematics Education References
  180.    wt: 1:   Chapter 9 The Two Ends
  181.    wt: 1:   Chapter 2 For and Against Mathematics
  182.    wt: 1:   Foreword
  183.    wt: 1:   Postscript C Consistency as a Tool for Reason
  184.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  185.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  186.    wt: 1:   Foreword
  187.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  188.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  189.    wt: 1:   N Mathematics Prepare for College Studies
  190.    wt: 1:   J. More on written work and showing skill
  191.    wt: 1:   D. Check work a must with a caution
  192.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  193.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  194.    wt: 1:   7 Games and Activities for Instruction
  195.    wt: 1:   Mathematics Education References
  196.    wt: 1:   Mathematics Education References
  197.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  198.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  199.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  200.    wt: 1:   The Math Forum and Site Content

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358 matches:

  1.    wt: 6:   Education Reform Inconsistencies
  2.    wt: 6:   three goals for Mathematics Education
  3.    wt: 6:   formal or informal peer review
  4.    wt: 6:   Four ways to improve education reform
  5.    wt: 6:   Prequel In For A Penny In For A Pound
  6.    wt: 5:   three goals to set for students
  7.    wt: 5:   permissions for teachers
  8.    wt: 5:   activities for students
  9.    wt: 5:   links Education Resources online
  10.    wt: 5:   Mathematics Education Professors
  11.    wt: 5:   modern education
  12.    wt: 5:   geometric implications for algebra
  13.    wt: 5:   02 21 words for teachers
  14.    wt: 5:   02 20 mathematics education references
  15.    wt: 5:   three aims for mathematics students
  16.    wt: 5:   standards for course material
  17.    wt: 5:   Education in mathematics science and technology
  18.    wt: 5:   need for a mixed mathematics curriculum
  19.    wt: 5:   education an empirical art
  20.    wt: 5:   fairness and inductive principles for instruction
  21.    wt: 5:   words for mathematics instructor
  22.    wt: 5:   10 Ends values for work study instruction
  23.    wt: 5:   1 Written work formats for developing and showing skill
  24.    wt: 5:   G. Written work formats for developing and showing skill
  25.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  26.    wt: 4:   why bother
  27.    wt: 4:   which way to go
  28.    wt: 4:   website reviews
  29.    wt: 4:   Teach the teachers plus goals
  30.    wt: 4:   Math Ed if it must be short make it lean effective
  31.    wt: 4:   Applied Maths Program14092009 POMME variant
  32.    wt: 4:   site origins
  33.    wt: 4:   site eurekas
  34.    wt: 4:   About site lesson plans
  35.    wt: 4:   key notes and themes
  36.    wt: 4:   teacher certification
  37.    wt: 4:   learning takes time
  38.    wt: 4:   grouping students according to ability
  39.    wt: 4:   what should be learnt and When
  40.    wt: 4:   mathematics in context
  41.    wt: 4:   Postscript 2007 01 10
  42.    wt: 4:   five decades make a difference
  43.    wt: 4:   Maps Plans Drawings
  44.    wt: 4:   how letters appear
  45.    wt: 4:   Secondary Three Mathematics
  46.    wt: 4:   Secondary Two Mathematics
  47.    wt: 4:   Secondary One Mathematics
  48.    wt: 4:   talk the algebra talk
  49.    wt: 4:   three difficulties
  50.    wt: 4:   teaching tips
  51.    wt: 4:   What to Tell Students
  52.    wt: 4:   mathematics curriculum shifts
  53.    wt: 4:   teaching tutoring algebraic reason
  54.    wt: 4:   Lessening Algebra Difficulties
  55.    wt: 4:   the trouble with algebra
  56.    wt: 4:   05 13 OldSiteEntrancePage
  57.    wt: 4:   04 29 New Mathematics Curriculum
  58.    wt: 4:   04 25 when to stop or suspend mathemat
  59.    wt: 4:   Operational Viewpoint to Value
  60.    wt: 4:   Theory of Knowledge
  61.    wt: 4:   mathematics instruction in general
  62.    wt: 4:   Different Kinds of Reasoning in maths
  63.    wt: 4:   three kinds of reason in mathematics
  64.    wt: 4:   cultivating intelligence
  65.    wt: 4:   How to be a better instructor
  66.    wt: 4:   Motivation and Context Problem
  67.    wt: 4:   Leaner mathematics curriculum
  68.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  69.    wt: 3:   Formula Usage Show Work Format
  70.    wt: 3:   13 Naming Identifying Formulas with Words
  71.    wt: 3:   8 Compound Interest Formula Evaluation
  72.    wt: 3:   7 Compound Interest Formula Introduction
  73.    wt: 3:   5 Box Volume Formula Example
  74.    wt: 3:   4 Circle Area Formula Example
  75.    wt: 3:   3 Triangle Area Formula Example
  76.    wt: 3:   2 Another Rectangle Area Formula Example
  77.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  78.    wt: 3:   Postscript For Better Performance
  79.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  80.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  81.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  82.    wt: 3:   N Mathematics Prepare for College Studies
  83.    wt: 3:   J. More on written work and showing skill
  84.    wt: 3:   D. Check work a must with a caution
  85.    wt: 2:   K LAMP Musings Science Education
  86.    wt: 2:   I LAMP Introduction Study Habits
  87.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  88.    wt: 2:   11 pure mathematics
  89.    wt: 2:   10 statistics
  90.    wt: 2:   9 combinatorics probability sets
  91.    wt: 2:   8 analytic geometry etc
  92.    wt: 2:   7 logic review and decimals an odd combination
  93.    wt: 2:   6 polynomials etc
  94.    wt: 2:   5 logarithms and exponentials etc
  95.    wt: 2:   4 algebra
  96.    wt: 2:   3 Euclidean Geometry Leanly
  97.    wt: 2:   2 arithmetic with signed numbers
  98.    wt: 2:   1 arithmetic with unsigned numbers
  99.    wt: 2:   What is POMME
  100.    wt: 2:   5 Function notation for geometric transformations
  101.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  102.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  103.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  104.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  105.    wt: 2:   26 Formulas for products of sines and cosines
  106.    wt: 2:   17E Trig Formulas for dot and cross Products
  107.    wt: 2:   17D cis formulas for sine cosines and tangent
  108.    wt: 2:   13 Trig Formulas for dot and cross Products
  109.    wt: 2:   12 cis formulas for sine cosines and tangent
  110.    wt: 2:   4 Equations for lines three forms
  111.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  112.    wt: 2:   6 Compound Interest Forward and Backwards
  113.    wt: 2:   5 Triangle Area Formula Backwards
  114.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  115.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  116.    wt: 2:   11 Volume of Sphere
  117.    wt: 2:   10 Volume of Pyramid
  118.    wt: 2:   9 Volume of Cone
  119.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  120.    wt: 2:   Formula Evaluation how to show work
  121.    wt: 2:   38 Formulas and derivatives for powers and roots
  122.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  123.    wt: 2:   Postscript More on Better Performance
  124.    wt: 2:   Appendix E. How To Study Mathematics and Why
  125.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  126.    wt: 2:   Chapter 23. Notation For Sums
  127.    wt: 2:   Chapter 18. Rules for Algebra
  128.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  129.    wt: 2:   Chapter 8 Three Skills For Algebra
  130.    wt: 2:   Solutions For Arithmetic Exercises
  131.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  132.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  133.    wt: 2:   Foreword
  134.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  135.    wt: 2:   S Adding words to algebra
  136.    wt: 2:   R Why Learn Mathematics Skills
  137.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  138.    wt: 2:   O On Learning Mathematics and Science
  139.    wt: 2:   M Words to extend arithmetic
  140.    wt: 2:   L Skills with take home value
  141.    wt: 2:   N Improving Marks on Tests and Finals
  142.    wt: 2:   I. Logic and language skills
  143.    wt: 2:   H more Routine to non routine problem solving
  144.    wt: 2:   H Jigsaw puzzles and problem solving
  145.    wt: 2:   F. The student teacher tutor feedback loop
  146.    wt: 2:   E. When and how to correct errors
  147.    wt: 2:   C. Domino effect of being careful
  148.    wt: 2:   B. Domino effect of errors
  149.    wt: 2:   A. Skill has to be seen to believed
  150.    wt: 2:   How to Build Skills and Confidence
  151.    wt: 2:   Mathematics Education References
  152.    wt: 2:   Mathematics Education References
  153.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  154.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  155.    wt: 1:   Appendix 2 primary school Arithmetic 01
  156.    wt: 1:   Appendix 1 primary and preschool mathematic
  157.    wt: 1:   J LAMP Introduction Extrinsic Origins
  158.    wt: 1:   H LAMP Introduction Instructional Concepts
  159.    wt: 1:   G LAMP Introduction Problem Solving Skills
  160.    wt: 1:   F LAMP Introduction Prerequisites
  161.    wt: 1:   E LAMP Introduction Modern Mathematics
  162.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  163.    wt: 1:   A Introduction Objectives
  164.    wt: 1:   Skills Chapter 5 Calculus
  165.    wt: 1:   Skills Chapter 4 Logic
  166.    wt: 1:   Ramblings Extrinsic numbers theory
  167.    wt: 1:   Ramblings Introduction Algebra Essay
  168.    wt: 1:   Skills Chapter 3 Algebra
  169.    wt: 1:   Skills Chapter 2 Geometry
  170.    wt: 1:   Skills Chapter 1 Arithmetic
  171.    wt: 1:   Skills Chapter 0 Introduction
  172.    wt: 1:   C Electromotive force conventional current02
  173.    wt: 1:   B Electromotive force conventional current01
  174.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  175.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  176.    wt: 1:   24 Standards For Skill Develoment Take II
  177.    wt: 1:   24 Standards For Skill Develoment
  178.    wt: 1:   17 Math Booklets for children and young teenagers
  179.    wt: 1:   15 Counting For Parents
  180.    wt: 1:   12 Goals and Objectives For Mathematics
  181.    wt: 1:   11 Help and Defend Your Child or Teens Education
  182.    wt: 1:   5 Patience Please for Yourself and Your Charges
  183.    wt: 1:   4 Learning Takes Time and Effort
  184.    wt: 1:   3 Preparing for Science Studies
  185.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  186.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  187.    wt: 1:   6 Set Existence Formation and Notation
  188.    wt: 1:   3 Formula or function graphing exercise
  189.    wt: 1:   8 quadratics backward use of various formulas
  190.    wt: 1:   7 quadratic formulla derivation
  191.    wt: 1:   8 Notes for instructors or tutors
  192.    wt: 1:   12 motivation for term arctan
  193.    wt: 1:   9 motivation for name arcsin
  194.    wt: 1:   4 possible motivation for term arccos
  195.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  196.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  197.    wt: 1:   Straight Lines ASA Intersection Study More
  198.    wt: 1:   Straight Lines ASA Intersection Study
  199.    wt: 1:   8 Straight Lines Equation for vertical
  200.    wt: 1:   17 tangent function angle sum formulas
  201.    wt: 1:   29 secant cosecant and cotangent for acute angles
  202.    wt: 1:   25 tangent double angle formula Slope connection
  203.    wt: 1:   24 tangent Angle Difference Formula
  204.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  205.    wt: 1:   21 sine and cosine Half Angle Formulas
  206.    wt: 1:   20 sine and cosine Double Angle Formulas
  207.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  208.    wt: 1:   17C sine and cosine double triple angle formulas
  209.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  210.    wt: 1:   12 Graph of tangent function for one period
  211.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  212.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  213.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  214.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  215.    wt: 1:   11 sine and cosine double triple angle formulas
  216.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  217.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  218.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  219.    wt: 1:   8 Mid Point Formula
  220.    wt: 1:   3 Slope product for perpendicular lines
  221.    wt: 1:   2 point slope equation for a line
  222.    wt: 1:   13 Pythagorean spatial distance formulas
  223.    wt: 1:   10 Pythagorean plane distance formula
  224.    wt: 1:   PS H Distributive Law For Complex Numbers
  225.    wt: 1:   6 Column Methods for Decimal Multiplication
  226.    wt: 1:   5 Distributive Law for Whole Numbers
  227.    wt: 1:   4 Commutative Law Groups Counting Form
  228.    wt: 1:   5 Proportionality in Equivalent Fractions
  229.    wt: 1:   4 Rates Ratios and Proporitionality
  230.    wt: 1:   3 Proportionality Examples
  231.    wt: 1:   2 Algebraic View
  232.    wt: 1:   1 What is Proportionality
  233.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  234.    wt: 1:   3 Linear Equation Literal Solution More
  235.    wt: 1:   2 Linear Equation Literal Solution
  236.    wt: 1:   1 Changing Calculations
  237.    wt: 1:   3 Product Axioms Two Forms
  238.    wt: 1:   2 More and Less Than for Counts and Measures
  239.    wt: 1:   9 Coordinates for Regions in Space
  240.    wt: 1:   8 Coordinates for Maps and Planes
  241.    wt: 1:   3 Geometric Formulas and Function Notation
  242.    wt: 1:   1 Formulas Dependence and Function Notation
  243.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  244.    wt: 1:   6 Algebraic Solution Example
  245.    wt: 1:   5 Algebraic Solutions Introduction
  246.    wt: 1:   4 Four Examples Fractional Coefficients
  247.    wt: 1:   3 Four Examples
  248.    wt: 1:   2 Three Examples
  249.    wt: 1:   1 Proper Equal Sign Usage
  250.    wt: 1:   Using Letters for Physical Quantities
  251.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  252.    wt: 1:   9 Sets in Probability and Statistics
  253.    wt: 1:   8 Sets of Numbers
  254.    wt: 1:   7 Cautious or Safe Set Construction
  255.    wt: 1:   6 Power Set Notation
  256.    wt: 1:   5 Product Builder Notation
  257.    wt: 1:   4 Subset Builder Notation
  258.    wt: 1:   3 Counting with Sets etc
  259.    wt: 1:   2 Venn Diagrams
  260.    wt: 1:   1 Finite Sets
  261.    wt: 1:   1 Three Skills For Algebra
  262.    wt: 1:   arithmetic videos Real Player Format
  263.    wt: 1:   1 More and Less Than for Counts and Measures
  264.    wt: 1:   4 signed coordinates for regions in space
  265.    wt: 1:   3 signed coordinates for maps and planes
  266.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  267.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  268.    wt: 1:   21 Working With Signs
  269.    wt: 1:   21 Reciprocals for Fractions and Wholes
  270.    wt: 1:   11 Adding Integers Formulas and Examples
  271.    wt: 1:   10 Integer Multiplication Formulas
  272.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  273.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  274.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  275.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  276.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  277.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  278.    wt: 1:   Long Division forwards and backwards Example 3
  279.    wt: 1:   Long Division forwards and backwards Example 2
  280.    wt: 1:   Long Division forwards and backwards Example 1
  281.    wt: 1:   12 Why Long Division Works Take III
  282.    wt: 1:   9 Why Long Division Works Take II
  283.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  284.    wt: 1:   A Elementary Basis for Multiplication Methods
  285.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  286.    wt: 1:   5 A Tip for Efficent Subtraction
  287.    wt: 1:   8 What skills and work habits to require
  288.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  289.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  290.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  291.    wt: 1:   Expression Evaluation how to show work
  292.    wt: 1:   015 School and work day counting tables
  293.    wt: 1:   28 Chain Rule Preparation for a Proof
  294.    wt: 1:   22 Chain Rule for polynomials
  295.    wt: 1:   21 Chain Rule for powers
  296.    wt: 1:   20 Chain Rule for Pulley Systems
  297.    wt: 1:   19 Chain Rule for linear functions
  298.    wt: 1:   10 Power rule for negative integers
  299.    wt: 1:   3 Motivation for Limit Definition Take 2
  300.    wt: 1:   2 Motivation for Limit Definition Take 1
  301.    wt: 1:   10 Three one sided limits with infinite values
  302.    wt: 1:   3 Decimal insights for limits continuity convergence
  303.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  304.    wt: 1:   PostScript For and Against Decimal Perspectives
  305.    wt: 1:   Foreword
  306.    wt: 1:   Appendix D. What to do in School and Why
  307.    wt: 1:   Appendix C. How to Read
  308.    wt: 1:   Appendix B. How To Learn
  309.    wt: 1:   Chapter 31 Direct and Indirect Reason
  310.    wt: 1:   Chapter 30 Truth Tables
  311.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  312.    wt: 1:   Chapter 28 Occurrence Tables
  313.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  314.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  315.    wt: 1:   Chapter 25. Mathematical Induction Examples
  316.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  317.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  318.    wt: 1:   Chapter 21. Third Reading Guide
  319.    wt: 1:   Chapter 20. Degrees and Radians
  320.    wt: 1:   Chapter 19. Functions and Sets
  321.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  322.    wt: 1:   Chapter 16. Painless Theorem Proving
  323.    wt: 1:   Chapter 15. Solving Linear Equations
  324.    wt: 1:   Chapter 13. Second Reading Guide
  325.    wt: 1:   Chapter 12. Shorthand Usage Guide
  326.    wt: 1:   Chapter 11. Why Shorthand
  327.    wt: 1:   Chapter 10 Describing and Changing Calculations
  328.    wt: 1:   Postscript What is a Variable
  329.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  330.    wt: 1:   Chapter 6 Change of Language
  331.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  332.    wt: 1:   Chapter 4 Longer Chains of Reason
  333.    wt: 1:   Chapter 3 Chains of Reason
  334.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  335.    wt: 1:   Postscript B Mathematics Education References
  336.    wt: 1:   Chapter 9 The Two Ends
  337.    wt: 1:   Chapter 2 For and Against Mathematics
  338.    wt: 1:   Foreword
  339.    wt: 1:   Postscript C Consistency as a Tool for Reason
  340.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  341.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  342.    wt: 1:   Foreword
  343.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  344.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  345.    wt: 1:   7 Games and Activities for Instruction
  346.    wt: 1:   Helping the Blind in Logic and Mathematics
  347.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  348.    wt: 1:   Implementation Notes
  349.    wt: 1:   More Algebra and Slope based Calculus Preview
  350.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  351.    wt: 1:   Systematic Algebra Skill Development Missing Links
  352.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  353.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  354.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  355.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  356.    wt: 1:   Which Way To Go
  357.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  358.    wt: 1:   The Math Forum and Site Content
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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