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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42 matches:

  1.    wt: 4:   Progressive Observable Motivated Mathematics Education/
  2.    wt: 4:   Mathematics Education Essays/
  3.    wt: 4:   Step 2 Algebraic solutions for one unknown/
  4.    wt: 4:   2 Formula Forward Use Evaluation/
  5.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 2:   LAMP Lean Applied Mathematics Program/
  7.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  8.    wt: 2:   12 Function Translating and Rescaling/
  9.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  10.    wt: 2:   9 Proportionality Backwards and Forwards/
  11.    wt: 2:   8 Unifying Theme For Algebra/
  12.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  13.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  14.    wt: 2:   D Decimal Long Division Methods/
  15.    wt: 2:   C Decimal Multiplication Methods/
  16.    wt: 2:   A Decimal Counting and Adding Methods/
  17.    wt: 2:   2 Arithmetic with Decimals/
  18.    wt: 2:   Volume 2 Three Skills For Algebra/
  19.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  20.    wt: 1:   Archives/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   B Real Numbers Extrinsic Development/
  24.    wt: 1:   A Origins of Counting and Figuring Methods/
  25.    wt: 1:   10 Examples of Algebraic Reasoning/
  26.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   5 Real Numbers/
  29.    wt: 1:   4 Computation Rules and Function Notation/
  30.    wt: 1:   Step 4 Gaussian Elimination/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   3 Solving Linear Equations/
  33.    wt: 1:   1 Working With Sets/
  34.    wt: 1:   Algebra Starter Lessons/
  35.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  36.    wt: 1:   38 Lessons on Calculating Derivatives/
  37.    wt: 1:   Volume 1A Pattern Based Reason/
  38.    wt: 1:   Volume 1 Elements of Reason/
  39.    wt: 1:   Mathematics 506 Lessons/
  40.    wt: 1:   Secondary Mathematics A Practical Approach/
  41.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  42.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

406 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   02 20 mathematics education references
  3.    wt: 3:   three goals for Mathematics Education
  4.    wt: 3:   02 21 words for teachers
  5.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  6.    wt: 3:   22 Student Centered Highschool Mathematics
  7.    wt: 3:   12 Goals and Objectives For Mathematics
  8.    wt: 3:   26 Formulas for products of sines and cosines
  9.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 3:   12 cis formulas for sine cosines and tangent
  11.    wt: 3:   12 GCD 2700 288 via Prime
  12.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  13.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  14.    wt: 3:   22 Chain Rule for polynomials
  15.    wt: 3:   Chapter 2 For and Against Mathematics
  16.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  17.    wt: 2:   Mathematics Education Professors
  18.    wt: 2:   Education Reform Inconsistencies
  19.    wt: 2:   04 29 New Mathematics Curriculum
  20.    wt: 2:   three aims for mathematics students
  21.    wt: 2:   formal or informal peer review
  22.    wt: 2:   Education in mathematics science and technology
  23.    wt: 2:   Four ways to improve education reform
  24.    wt: 2:   need for a mixed mathematics curriculum
  25.    wt: 2:   Prequel In For A Penny In For A Pound
  26.    wt: 2:   words for mathematics instructor
  27.    wt: 2:   2 Conductance Resistance Duality02
  28.    wt: 2:   C Electromotive force conventional current02
  29.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  30.    wt: 2:   24 Standards For Skill Develoment Take II
  31.    wt: 2:   24 Standards For Skill Develoment
  32.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  33.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  34.    wt: 2:   22 Square Root function graphically
  35.    wt: 2:   5 Function notation for geometric transformations
  36.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  37.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  38.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  39.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  40.    wt: 2:   12 motivation for term arctan
  41.    wt: 2:   12 From Applied To Pure Mathematics
  42.    wt: 2:   29 secant cosecant and cotangent for acute angles
  43.    wt: 2:   25 tangent double angle formula Slope connection
  44.    wt: 2:   24 tangent Angle Difference Formula
  45.    wt: 2:   21 sine and cosine Half Angle Formulas
  46.    wt: 2:   20 sine and cosine Double Angle Formulas
  47.    wt: 2:   17E Trig Formulas for dot and cross Products
  48.    wt: 2:   17D cis formulas for sine cosines and tangent
  49.    wt: 2:   12 Graph of tangent function for one period
  50.    wt: 2:   13 Trig Formulas for dot and cross Products
  51.    wt: 2:   4 Equations for lines three forms
  52.    wt: 2:   2 point slope equation for a line
  53.    wt: 2:   22 Multiplication of Signed Numbers
  54.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  55.    wt: 2:   2 More and Less Than for Counts and Measures
  56.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  57.    wt: 2:   Formula Usage Show Work Format
  58.    wt: 2:   2 Another Rectangle Area Formula Example
  59.    wt: 2:   1 Written work formats for developing and showing skill
  60.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  61.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  62.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  63.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  64.    wt: 2:   22 Complex Compound Fractions
  65.    wt: 2:   21 Reciprocals for Fractions and Wholes
  66.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  67.    wt: 2:   26 Divisibility by 2 3 5 Example
  68.    wt: 2:   23 Remainder Arithmetic Modulo 2
  69.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  70.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  71.    wt: 2:   Long Division forwards and backwards Example 2
  72.    wt: 2:   9 22 Minute Subtraction Review Video
  73.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  74.    wt: 2:   38 Formulas and derivatives for powers and roots
  75.    wt: 2:   28 Chain Rule Preparation for a Proof
  76.    wt: 2:   21 Chain Rule for powers
  77.    wt: 2:   20 Chain Rule for Pulley Systems
  78.    wt: 2:   3 Motivation for Limit Definition Take 2
  79.    wt: 2:   2 Motivation for Limit Definition Take 1
  80.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  81.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  82.    wt: 2:   Chapter 22 Complex Numbers
  83.    wt: 2:   Postscript For Better Performance
  84.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  85.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  86.    wt: 2:   Chapter 23. Notation For Sums
  87.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  88.    wt: 2:   Chapter 21. Third Reading Guide
  89.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  90.    wt: 2:   Chapter 12. Shorthand Usage Guide
  91.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  92.    wt: 2:   Postscript B Mathematics Education References
  93.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  94.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  95.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  96.    wt: 2:   N Mathematics Prepare for College Studies
  97.    wt: 2:   G. Written work formats for developing and showing skill
  98.    wt: 2:   Mathematics Education References
  99.    wt: 2:   Mathematics Education References
  100.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  101.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  102.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  103.    wt: 1:   Appendix 2 primary school Arithmetic 01
  104.    wt: 1:   K LAMP Musings Science Education
  105.    wt: 1:   E LAMP Introduction Modern Mathematics
  106.    wt: 1:   Skills Chapter 2 Geometry
  107.    wt: 1:   11 pure mathematics
  108.    wt: 1:   2 arithmetic with signed numbers
  109.    wt: 1:   three goals to set for students
  110.    wt: 1:   permissions for teachers
  111.    wt: 1:   Applied Maths Program14092009 POMME variant
  112.    wt: 1:   activities for students
  113.    wt: 1:   links Education Resources online
  114.    wt: 1:   modern education
  115.    wt: 1:   mathematics in context
  116.    wt: 1:   Postscript 2007 01 10
  117.    wt: 1:   Secondary Three Mathematics
  118.    wt: 1:   Secondary Two Mathematics
  119.    wt: 1:   Secondary One Mathematics
  120.    wt: 1:   mathematics curriculum shifts
  121.    wt: 1:   geometric implications for algebra
  122.    wt: 1:   04 25 when to stop or suspend mathemat
  123.    wt: 1:   standards for course material
  124.    wt: 1:   mathematics instruction in general
  125.    wt: 1:   three kinds of reason in mathematics
  126.    wt: 1:   Leaner mathematics curriculum
  127.    wt: 1:   education an empirical art
  128.    wt: 1:   fairness and inductive principles for instruction
  129.    wt: 1:   chapitre 12 00 les iles et division
  130.    wt: 1:   chapitre 04 02 Deuxieme enigme
  131.    wt: 1:   chapitre 02 00 La Communication des idees
  132.    wt: 1:   2 Energy Power Heat07
  133.    wt: 1:   B Energy Power02
  134.    wt: 1:   D Wire Resistance Calculation02
  135.    wt: 1:   B Wire Resistance Qualitative02
  136.    wt: 1:   2 Unlike resistors in parallel01
  137.    wt: 1:   H Series Circuit02
  138.    wt: 1:   B Electromotive force conventional current01
  139.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  140.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  141.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  142.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  143.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  144.    wt: 1:   18 Primary School Mathematics
  145.    wt: 1:   17 Math Booklets for children and young teenagers
  146.    wt: 1:   16 Secondary Mathematics Tips
  147.    wt: 1:   15 Counting For Parents
  148.    wt: 1:   11 Help and Defend Your Child or Teens Education
  149.    wt: 1:   10 Ends values for work study instruction
  150.    wt: 1:   5 Patience Please for Yourself and Your Charges
  151.    wt: 1:   4 Learning Takes Time and Effort
  152.    wt: 1:   3 Preparing for Science Studies
  153.    wt: 1:   2 Reading and Writing Skills
  154.    wt: 1:   Ages 12 to 14 Skills with take home value
  155.    wt: 1:   Ages 12 to 14 Geometry
  156.    wt: 1:   Ages 12 to 14 Arithmetic
  157.    wt: 1:   Ages 10 to 12 Geometry
  158.    wt: 1:   Ages 10 to 12 Arithmetic
  159.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  160.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  161.    wt: 1:   sign monoticity analysis example 2
  162.    wt: 1:   26 Function definitions done and coming
  163.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  164.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  165.    wt: 1:   23 Inverse Functions
  166.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  167.    wt: 1:   20 Interchanging coordinates a reflection
  168.    wt: 1:   12 Function Domain Recognition Exercises
  169.    wt: 1:   6 Set Existence Formation and Notation
  170.    wt: 1:   4 Function notation in and beyond mathematics
  171.    wt: 1:   3 Formula or function graphing exercise
  172.    wt: 1:   2 Algebraic use of function notation
  173.    wt: 1:   Introduction Reading Guide
  174.    wt: 1:   8 quadratics backward use of various formulas
  175.    wt: 1:   7 quadratic formulla derivation
  176.    wt: 1:   2 quadratics graphing in general
  177.    wt: 1:   2 Square Root Simplification a prequel
  178.    wt: 1:   8 Notes for instructors or tutors
  179.    wt: 1:   2 Column Multiplication Method
  180.    wt: 1:   9 motivation for name arcsin
  181.    wt: 1:   4 possible motivation for term arccos
  182.    wt: 1:   2 cosine function more properties
  183.    wt: 1:   2 Radian Measure Numerical Value of one degree
  184.    wt: 1:   2 Signed Coordinates
  185.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  186.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  187.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  188.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  189.    wt: 1:   12 Straight Lines Graphing mx plus b
  190.    wt: 1:   8 Straight Lines Equation for vertical
  191.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  192.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  193.    wt: 1:   17 tangent function angle sum formulas
  194.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  195.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  196.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  197.    wt: 1:   32 seven rows of pascals triangle
  198.    wt: 1:   28 Expressing products of sines cosines as sums
  199.    wt: 1:   27 Logarithmic use of products of sines and cosines
  200.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  201.    wt: 1:   17C sine and cosine double triple angle formulas
  202.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  203.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  204.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  205.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  206.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  207.    wt: 1:   2 Quadrant I reference Angles
  208.    wt: 1:   21 Logarithms Powers and Exponentials
  209.    wt: 1:   20 N th Roots of Complex Numbers
  210.    wt: 1:   11 sine and cosine double triple angle formulas
  211.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  212.    wt: 1:   2 Complex Numbers made easier we hope
  213.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  214.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  215.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  216.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  217.    wt: 1:   12 Triangles Similarity More Problems
  218.    wt: 1:   2 Similarity By Design
  219.    wt: 1:   12 Links Lessons elsewhere
  220.    wt: 1:   8 Mid Point Formula
  221.    wt: 1:   3 Slope product for perpendicular lines
  222.    wt: 1:   13 Pythagorean spatial distance formulas
  223.    wt: 1:   12 Spatial Coordinates
  224.    wt: 1:   10 Pythagorean plane distance formula
  225.    wt: 1:   2 Cartesian Coordinates with signs
  226.    wt: 1:   PS H Distributive Law For Complex Numbers
  227.    wt: 1:   21 Parallelograms
  228.    wt: 1:   12 Side Angle Side Failure
  229.    wt: 1:   2 Correspondence between Triangles
  230.    wt: 1:   2 Measuring Area Directly
  231.    wt: 1:   26 More Less Greater Than Comparison
  232.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  233.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  234.    wt: 1:   23 Distributive Law Two Derivations
  235.    wt: 1:   21 Addition of Multiples of a Single Vector
  236.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  237.    wt: 1:   12 Real Numbers Line Signed Coordinates
  238.    wt: 1:   2 Counting Digits in Decimal Multiplication
  239.    wt: 1:   6 Column Methods for Decimal Multiplication
  240.    wt: 1:   5 Distributive Law for Whole Numbers
  241.    wt: 1:   4 Commutative Law Groups Counting Form
  242.    wt: 1:   2 Combing Counts Addition Skills and Principles
  243.    wt: 1:   2 Fraction Operations Physical Development
  244.    wt: 1:   2 Algebraic View
  245.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  246.    wt: 1:   6 Compound Interest Forward and Backwards
  247.    wt: 1:   5 Triangle Area Formula Backwards
  248.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  249.    wt: 1:   2 Linear Equation Literal Solution
  250.    wt: 1:   3 Product Axioms Two Forms
  251.    wt: 1:   2 Addition and Multiplication Axioms
  252.    wt: 1:   12 Real Number Additive Inverses or Negatives
  253.    wt: 1:   9 Coordinates for Regions in Space
  254.    wt: 1:   8 Coordinates for Maps and Planes
  255.    wt: 1:   2 Integers
  256.    wt: 1:   3 Geometric Formulas and Function Notation
  257.    wt: 1:   2 Computation Rules Evaluation
  258.    wt: 1:   1 Formulas Dependence and Function Notation
  259.    wt: 1:   2 GE II Comparison
  260.    wt: 1:   2 Essentially one exercises three with solution
  261.    wt: 1:   2 Three Examples
  262.    wt: 1:   2 Three Examples
  263.    wt: 1:   Using Letters for Physical Quantities
  264.    wt: 1:   13 Naming Identifying Formulas with Words
  265.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  266.    wt: 1:   8 Compound Interest Formula Evaluation
  267.    wt: 1:   7 Compound Interest Formula Introduction
  268.    wt: 1:   5 Box Volume Formula Example
  269.    wt: 1:   4 Circle Area Formula Example
  270.    wt: 1:   3 Triangle Area Formula Example
  271.    wt: 1:   2 Venn Diagrams
  272.    wt: 1:   2 What is a Variable
  273.    wt: 1:   1 Three Skills For Algebra
  274.    wt: 1:   arithmetic videos Real Player Format
  275.    wt: 1:   2 More and Less Than with Unlike Signs
  276.    wt: 1:   1 More and Less Than for Counts and Measures
  277.    wt: 1:   2 Square Roots with Prime
  278.    wt: 1:   2 Least Common Multiple LCM intro via list method
  279.    wt: 1:   2 Counting with Tables and Trees I
  280.    wt: 1:   4 signed coordinates for regions in space
  281.    wt: 1:   3 signed coordinates for maps and planes
  282.    wt: 1:   2 signed and unsigned numbers as coordinates
  283.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  284.    wt: 1:   2 Equality and Units
  285.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  286.    wt: 1:   21 Working With Signs
  287.    wt: 1:   20 Dividing Fractions the Why
  288.    wt: 1:   12 Fraction Comparison
  289.    wt: 1:   2 Unit Fraction Multiplication
  290.    wt: 1:   12 Adding Integers More Examples
  291.    wt: 1:   11 Adding Integers Formulas and Examples
  292.    wt: 1:   10 Integer Multiplication Formulas
  293.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  294.    wt: 1:   21 Remainder Arithmetic Modulo 3
  295.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  296.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  297.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  298.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  299.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  300.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  301.    wt: 1:   20 Uniqueness of Prime Factorization
  302.    wt: 1:   15 video Factors of 20 using Prime Factorization
  303.    wt: 1:   14 video Factors of 24 Take II
  304.    wt: 1:   13 video Factors of 24 using prime
  305.    wt: 1:   12 LCD GCD and LCM using Primes
  306.    wt: 1:   10 video Prime Factorization upto 23 squared
  307.    wt: 1:   2 Prime and Composites less than 16
  308.    wt: 1:   Long Division forwards and backwards Example 3
  309.    wt: 1:   Long Division forwards and backwards Example 1
  310.    wt: 1:   12 Why Long Division Works Take III
  311.    wt: 1:   4 Division with 2 Digit Divsors
  312.    wt: 1:   2 Division with Single Digit Divisors
  313.    wt: 1:   A Elementary Basis for Multiplication Methods
  314.    wt: 1:   2 One Digit Multipliers
  315.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  316.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  317.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  318.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  319.    wt: 1:   5 A Tip for Efficent Subtraction
  320.    wt: 1:   2 Subtraction Easy Case Examples
  321.    wt: 1:   2 Decimal Counting Practices
  322.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  323.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  324.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  325.    wt: 1:   Formula Evaluation how to show work
  326.    wt: 1:   The 20 Times Table
  327.    wt: 1:   The 12 Times Table Visually
  328.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  329.    wt: 1:   012 Division of Time Intervals by Time Intervals
  330.    wt: 1:   2 Time and Date Matters in School
  331.    wt: 1:   Example 2 volume of a cone
  332.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  333.    wt: 1:   Example 2
  334.    wt: 1:   Area Between Curves Lesson Take 2
  335.    wt: 1:   2 Indefinite Integrals Exercises
  336.    wt: 1:   2 Second derivative test prequel
  337.    wt: 1:   29 Chain Rule Optional Reading
  338.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  339.    wt: 1:   26 Chain Rule Recognising outer inner functions
  340.    wt: 1:   25 Chain Rule Animated Examples Continued
  341.    wt: 1:   24 Chain Rule Animated Examples
  342.    wt: 1:   23 Chain Rule in general
  343.    wt: 1:   19 Chain Rule for linear functions
  344.    wt: 1:   14 sine and cosine derivatives 2nd step
  345.    wt: 1:   12 Quotient rule examples
  346.    wt: 1:   10 Power rule for negative integers
  347.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  348.    wt: 1:   3 Decimal insights for limits continuity convergence
  349.    wt: 1:   2 Algebraic codification
  350.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  351.    wt: 1:   F.2 Closed Range Theorem
  352.    wt: 1:   E2 Algebraic Properties of Limits
  353.    wt: 1:   D2 Limits of Monotone Sequences
  354.    wt: 1:   PostScript For and Against Decimal Perspectives
  355.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  356.    wt: 1:   Chapter 23 Links To Trigonometry
  357.    wt: 1:   Chapter 21 Arrow Addition
  358.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  359.    wt: 1:   Chapter 12. Units and Slopes
  360.    wt: 1:   Chapter 2. Slopes and Ski Trails
  361.    wt: 1:   Foreword
  362.    wt: 1:   Postscript More on Better Performance
  363.    wt: 1:   Appendix E. How To Study Mathematics and Why
  364.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  365.    wt: 1:   Chapter 28 Occurrence Tables
  366.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  367.    wt: 1:   Chapter 25. Mathematical Induction Examples
  368.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  369.    wt: 1:   Chapter 20. Degrees and Radians
  370.    wt: 1:   Chapter 18. Rules for Algebra
  371.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  372.    wt: 1:   Chapter 13. Second Reading Guide
  373.    wt: 1:   Chapter 8 Three Skills For Algebra
  374.    wt: 1:   Solutions For Arithmetic Exercises
  375.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  376.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  377.    wt: 1:   Foreword
  378.    wt: 1:   Chapter 12 Four Phases
  379.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  380.    wt: 1:   Foreword
  381.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  382.    wt: 1:   Postscript C Consistency as a Tool for Reason
  383.    wt: 1:   Chapter 24 Direct and Indirect Reason
  384.    wt: 1:   Chapter 23 Truth Tables
  385.    wt: 1:   Chapter 21 Occurrence Tables
  386.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  387.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  388.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  389.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  390.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  391.    wt: 1:   Chapter 2 Skill Development
  392.    wt: 1:   Foreword
  393.    wt: 1:   R Why Learn Mathematics Skills
  394.    wt: 1:   O On Learning Mathematics and Science
  395.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  396.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  397.    wt: 1:   Chapter 2 Why Sets
  398.    wt: 1:   7 Games and Activities for Instruction
  399.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  400.    wt: 1:   Helping the Blind in Logic and Mathematics
  401.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  402.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  403.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  404.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  405.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  406.    wt: 1:   The Math Forum and Site Content

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  1.    wt: 9:   three goals for Mathematics Education
  2.    wt: 9:   02 20 mathematics education references
  3.    wt: 8:   02 21 words for teachers
  4.    wt: 7:   04 29 New Mathematics Curriculum
  5.    wt: 7:   three aims for mathematics students
  6.    wt: 7:   Prequel In For A Penny In For A Pound
  7.    wt: 6:   2 arithmetic with signed numbers
  8.    wt: 6:   Applied Maths Program14092009 POMME variant
  9.    wt: 6:   Mathematics Education Professors
  10.    wt: 6:   Education Reform Inconsistencies
  11.    wt: 6:   Secondary Three Mathematics
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  18.    wt: 6:   04 25 when to stop or suspend mathemat
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  20.    wt: 6:   Education in mathematics science and technology
  21.    wt: 6:   three kinds of reason in mathematics
  22.    wt: 6:   Four ways to improve education reform
  23.    wt: 6:   need for a mixed mathematics curriculum
  24.    wt: 6:   education an empirical art
  25.    wt: 6:   fairness and inductive principles for instruction
  26.    wt: 6:   words for mathematics instructor
  27.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  28.    wt: 6:   2 Three Examples
  29.    wt: 6:   2 Another Rectangle Area Formula Example
  30.    wt: 6:   1 Written work formats for developing and showing skill
  31.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  32.    wt: 6:   Chapter 2 For and Against Mathematics
  33.    wt: 5:   11 pure mathematics
  34.    wt: 5:   why bother
  35.    wt: 5:   three goals to set for students
  36.    wt: 5:   permissions for teachers
  37.    wt: 5:   activities for students
  38.    wt: 5:   links Education Resources online
  39.    wt: 5:   About site lesson plans
  40.    wt: 5:   modern education
  41.    wt: 5:   learning takes time
  42.    wt: 5:   mathematics in context
  43.    wt: 5:   Postscript 2007 01 10
  44.    wt: 5:   Maps Plans Drawings
  45.    wt: 5:   how letters appear
  46.    wt: 5:   talk the algebra talk
  47.    wt: 5:   three difficulties
  48.    wt: 5:   teaching tips
  49.    wt: 5:   What to Tell Students
  50.    wt: 5:   teaching tutoring algebraic reason
  51.    wt: 5:   05 13 OldSiteEntrancePage
  52.    wt: 5:   standards for course material
  53.    wt: 5:   mathematics instruction in general
  54.    wt: 5:   Leaner mathematics curriculum
  55.    wt: 5:   22 Student Centered Highschool Mathematics
  56.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  57.    wt: 5:   13 Naming Identifying Formulas with Words
  58.    wt: 5:   12 Cone Cylinder Sphere Lesson Idea
  59.    wt: 5:   8 Compound Interest Formula Evaluation
  60.    wt: 5:   7 Compound Interest Formula Introduction
  61.    wt: 5:   5 Box Volume Formula Example
  62.    wt: 5:   4 Circle Area Formula Example
  63.    wt: 5:   3 Triangle Area Formula Example
  64.    wt: 5:   Long Division forwards and backwards Example 2
  65.    wt: 5:   9 22 Minute Subtraction Review Video
  66.    wt: 5:   2 Subtraction Easy Case Examples
  67.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  68.    wt: 5:   Chapter 23. Notation For Sums
  69.    wt: 5:   Chapter 21. Third Reading Guide
  70.    wt: 5:   Chapter 12. Shorthand Usage Guide
  71.    wt: 5:   Chapter 2 Implication Rules Forwards and Backwards
  72.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  73.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  74.    wt: 4:   Skills Chapter 2 Geometry
  75.    wt: 4:   10 statistics
  76.    wt: 4:   9 combinatorics probability sets
  77.    wt: 4:   8 analytic geometry etc
  78.    wt: 4:   7 logic review and decimals an odd combination
  79.    wt: 4:   6 polynomials etc
  80.    wt: 4:   5 logarithms and exponentials etc
  81.    wt: 4:   4 algebra
  82.    wt: 4:   3 Euclidean Geometry Leanly
  83.    wt: 4:   1 arithmetic with unsigned numbers
  84.    wt: 4:   What is POMME
  85.    wt: 4:   which way to go
  86.    wt: 4:   website reviews
  87.    wt: 4:   Teach the teachers plus goals
  88.    wt: 4:   Math Ed if it must be short make it lean effective
  89.    wt: 4:   site origins
  90.    wt: 4:   site eurekas
  91.    wt: 4:   key notes and themes
  92.    wt: 4:   teacher certification
  93.    wt: 4:   grouping students according to ability
  94.    wt: 4:   what should be learnt and When
  95.    wt: 4:   five decades make a difference
  96.    wt: 4:   Operational Viewpoint to Value
  97.    wt: 4:   Theory of Knowledge
  98.    wt: 4:   Different Kinds of Reasoning in maths
  99.    wt: 4:   cultivating intelligence
  100.    wt: 4:   How to be a better instructor
  101.    wt: 4:   Motivation and Context Problem
  102.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  103.    wt: 4:   12 Goals and Objectives For Mathematics
  104.    wt: 4:   22 Square Root function graphically
  105.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  106.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  107.    wt: 4:   7 Formulas for Roots with Logarithms Derivation
  108.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  109.    wt: 4:   2 Square Root Simplification a prequel
  110.    wt: 4:   26 Formulas for products of sines and cosines
  111.    wt: 4:   12 cis formulas for sine cosines and tangent
  112.    wt: 4:   PS H Distributive Law For Complex Numbers
  113.    wt: 4:   PS B Parallelogram Construction Methods
  114.    wt: 4:   21 Parallelograms
  115.    wt: 4:   12 Side Angle Side Failure
  116.    wt: 4:   2 Correspondence between Triangles
  117.    wt: 4:   2 Algebraic View
  118.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  119.    wt: 4:   2 Essentially one exercises three with solution
  120.    wt: 4:   6 Algebraic Solution Example
  121.    wt: 4:   5 Algebraic Solutions Introduction
  122.    wt: 4:   4 Four Examples Fractional Coefficients
  123.    wt: 4:   3 Four Examples
  124.    wt: 4:   1 Proper Equal Sign Usage
  125.    wt: 4:   11 Volume of Sphere
  126.    wt: 4:   10 Volume of Pyramid
  127.    wt: 4:   9 Volume of Cone
  128.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  129.    wt: 4:   2 More and Less Than with Unlike Signs
  130.    wt: 4:   Long Division forwards and backwards Example 3
  131.    wt: 4:   12 Why Long Division Works Take III
  132.    wt: 4:   2 Division with Single Digit Divisors
  133.    wt: 4:   2 One Digit Multipliers
  134.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  135.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  136.    wt: 4:   Video Power Notation in Decimal Expansion
  137.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  138.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  139.    wt: 4:   5 A Tip for Efficent Subtraction
  140.    wt: 4:   2 Decimal Counting Practices
  141.    wt: 4:   22 Chain Rule for polynomials
  142.    wt: 4:   21 Chain Rule for powers
  143.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  144.    wt: 4:   Chapter 22 Complex Numbers
  145.    wt: 4:   Postscript For Better Performance
  146.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  147.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  148.    wt: 4:   Chapter 28 Occurrence Tables
  149.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  150.    wt: 4:   Chapter 25. Mathematical Induction Examples
  151.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  152.    wt: 4:   Chapter 20. Degrees and Radians
  153.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  154.    wt: 4:   Postscript B Mathematics Education References
  155.    wt: 4:   Chapter 12 Four Phases
  156.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  157.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  158.    wt: 3:   Appendix 2 primary school Arithmetic 01
  159.    wt: 3:   K LAMP Musings Science Education
  160.    wt: 3:   E LAMP Introduction Modern Mathematics
  161.    wt: 3:   B Energy Power02
  162.    wt: 3:   2 Conductance Resistance Duality02
  163.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  164.    wt: 3:   24 Standards For Skill Develoment Take II
  165.    wt: 3:   24 Standards For Skill Develoment
  166.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  167.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  168.    wt: 3:   Ages 12 to 14 Skills with take home value
  169.    wt: 3:   Ages 12 to 14 Geometry
  170.    wt: 3:   Ages 12 to 14 Arithmetic
  171.    wt: 3:   12 motivation for term arctan
  172.    wt: 3:   12 From Applied To Pure Mathematics
  173.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  174.    wt: 3:   8 Straight Lines Equation for vertical
  175.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  176.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  177.    wt: 3:   29 secant cosecant and cotangent for acute angles
  178.    wt: 3:   25 tangent double angle formula Slope connection
  179.    wt: 3:   24 tangent Angle Difference Formula
  180.    wt: 3:   21 sine and cosine Half Angle Formulas
  181.    wt: 3:   2 point slope equation for a line
  182.    wt: 3:   PS G Rotation Distributes over Addition
  183.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  184.    wt: 3:   PS E Multiplication with Polar Coordinates
  185.    wt: 3:   PS D Addition with Cartesian Coordinates
  186.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  187.    wt: 3:   PS A Kite Construction Methods
  188.    wt: 3:   22 Multiplication of Signed Numbers
  189.    wt: 3:   21 Addition of Multiples of a Single Vector
  190.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  191.    wt: 3:   12 Real Numbers Line Signed Coordinates
  192.    wt: 3:   2 Combing Counts Addition Skills and Principles
  193.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  194.    wt: 3:   6 Compound Interest Forward and Backwards
  195.    wt: 3:   5 Triangle Area Formula Backwards
  196.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  197.    wt: 3:   2 Linear Equation Literal Solution
  198.    wt: 3:   2 More and Less Than for Counts and Measures
  199.    wt: 3:   12 Real Number Additive Inverses or Negatives
  200.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  201.    wt: 3:   2 GE II Comparison
  202.    wt: 3:   2 Three Examples
  203.    wt: 3:   Formula Usage Show Work Format
  204.    wt: 3:   1 More and Less Than for Counts and Measures
  205.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  206.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  207.    wt: 3:   12 GCD 2700 288 via Prime
  208.    wt: 3:   22 Complex Compound Fractions
  209.    wt: 3:   21 Reciprocals for Fractions and Wholes
  210.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  211.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  212.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  213.    wt: 3:   Long Division Backwards more
  214.    wt: 3:   Long Division Backward
  215.    wt: 3:   Long Division forwards and backwards Example 1
  216.    wt: 3:   4 Division with 2 Digit Divsors
  217.    wt: 3:   A Elementary Basis for Multiplication Methods
  218.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  219.    wt: 3:   Subtraction with J Conversions Example
  220.    wt: 3:   Subtraction Another Video Lesson
  221.    wt: 3:   8 Subtraction with Units of Measure
  222.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  223.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  224.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  225.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  226.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  227.    wt: 3:   38 Formulas and derivatives for powers and roots
  228.    wt: 3:   28 Chain Rule Preparation for a Proof
  229.    wt: 3:   20 Chain Rule for Pulley Systems
  230.    wt: 3:   10 Power rule for negative integers
  231.    wt: 3:   4 Sum Rule
  232.    wt: 3:   3 Motivation for Limit Definition Take 2
  233.    wt: 3:   2 Motivation for Limit Definition Take 1
  234.    wt: 3:   Postscript More on Better Performance
  235.    wt: 3:   Appendix E. How To Study Mathematics and Why
  236.    wt: 3:   Appendix B. How To Learn
  237.    wt: 3:   Chapter 18. Rules for Algebra
  238.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  239.    wt: 3:   Chapter 13. Second Reading Guide
  240.    wt: 3:   Chapter 8 Three Skills For Algebra
  241.    wt: 3:   Solutions For Arithmetic Exercises
  242.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  243.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  244.    wt: 3:   Foreword
  245.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  246.    wt: 3:   Foreword
  247.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  248.    wt: 3:   Postscript C Consistency as a Tool for Reason
  249.    wt: 3:   Chapter 24 Direct and Indirect Reason
  250.    wt: 3:   Chapter 23 Truth Tables
  251.    wt: 3:   Chapter 21 Occurrence Tables
  252.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  253.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  254.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  255.    wt: 3:   Chapter 2 Skill Development
  256.    wt: 3:   Chapter 2 Why Sets
  257.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  258.    wt: 3:   Mathematics Education References
  259.    wt: 3:   Mathematics Education References
  260.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  261.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  262.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  263.    wt: 2:   Appendix 1 primary and preschool mathematic
  264.    wt: 2:   J LAMP Introduction Extrinsic Origins
  265.    wt: 2:   I LAMP Introduction Study Habits
  266.    wt: 2:   H LAMP Introduction Instructional Concepts
  267.    wt: 2:   G LAMP Introduction Problem Solving Skills
  268.    wt: 2:   F LAMP Introduction Prerequisites
  269.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  270.    wt: 2:   A Introduction Objectives
  271.    wt: 2:   Skills Chapter 5 Calculus
  272.    wt: 2:   Skills Chapter 4 Logic
  273.    wt: 2:   Ramblings Extrinsic numbers theory
  274.    wt: 2:   Ramblings Introduction Algebra Essay
  275.    wt: 2:   Skills Chapter 3 Algebra
  276.    wt: 2:   Skills Chapter 1 Arithmetic
  277.    wt: 2:   Skills Chapter 0 Introduction
  278.    wt: 2:   2 Energy Power Heat07
  279.    wt: 2:   C Electromotive force conventional current02
  280.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  281.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  282.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  283.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  284.    wt: 2:   2 Reading and Writing Skills
  285.    wt: 2:   Ages 10 to 12 Geometry
  286.    wt: 2:   Ages 10 to 12 Arithmetic
  287.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  288.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  289.    wt: 2:   sign monoticity analysis example 2
  290.    wt: 2:   26 Function definitions done and coming
  291.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  292.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  293.    wt: 2:   23 Inverse Functions
  294.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  295.    wt: 2:   20 Interchanging coordinates a reflection
  296.    wt: 2:   12 Function Domain Recognition Exercises
  297.    wt: 2:   5 Function notation for geometric transformations
  298.    wt: 2:   2 Algebraic use of function notation
  299.    wt: 2:   11 Growth and Decay in Biology
  300.    wt: 2:   10 Exponential Growth and Decay Models
  301.    wt: 2:   5 Natural Logarithm Calculator Exercises
  302.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  303.    wt: 2:   1 Calculator Starter Exercises
  304.    wt: 2:   2 Signed Coordinates
  305.    wt: 2:   4 graphing y=Asin(x c)
  306.    wt: 2:   3 graphing y=f(x c) plus K
  307.    wt: 2:   1 graphing y=f(x a)
  308.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  309.    wt: 2:   C Straight Lines Slope from Coordinates
  310.    wt: 2:   B Straight Line Slope Scaling Properties More
  311.    wt: 2:   A Straight Line Slope Scaling Properties
  312.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  313.    wt: 2:   12 Straight Lines Graphing mx plus b
  314.    wt: 2:   11 Straight Lines Graphing y=mx
  315.    wt: 2:   7 Tangent Function is odd on this domain
  316.    wt: 2:   5 Tangent Function Graph
  317.    wt: 2:   4 Tangent Function Properties
  318.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  319.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  320.    wt: 2:   28 Expressing products of sines cosines as sums
  321.    wt: 2:   27 Logarithmic use of products of sines and cosines
  322.    wt: 2:   20 sine and cosine Double Angle Formulas
  323.    wt: 2:   17E Trig Formulas for dot and cross Products
  324.    wt: 2:   17D cis formulas for sine cosines and tangent
  325.    wt: 2:   12 Graph of tangent function for one period
  326.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  327.    wt: 2:   21 Logarithms Powers and Exponentials
  328.    wt: 2:   20 N th Roots of Complex Numbers
  329.    wt: 2:   13 Trig Formulas for dot and cross Products
  330.    wt: 2:   2 Complex Numbers made easier we hope
  331.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  332.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  333.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  334.    wt: 2:   12 Triangles Similarity More Problems
  335.    wt: 2:   2 Similarity By Design
  336.    wt: 2:   12 Links Lessons elsewhere
  337.    wt: 2:   4 Equations for lines three forms
  338.    wt: 2:   12 Spatial Coordinates
  339.    wt: 2:   2 Cartesian Coordinates with signs
  340.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  341.    wt: 2:   19 Right Triangle Similarity
  342.    wt: 2:   18 Triangle Similarity Take 1
  343.    wt: 2:   17 Right Bisectors of Triangle Sides
  344.    wt: 2:   16 Angles Subtended By Chords and Diameters
  345.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  346.    wt: 2:   14 Parallel Lines Postulate
  347.    wt: 2:   13 Angle Side Angle Failure
  348.    wt: 2:   11 Triangle Construction Fails
  349.    wt: 2:   10 Dropping a perpendicular to line
  350.    wt: 2:   9 Construction of a right bisector
  351.    wt: 2:   8 Isoceles Triangles
  352.    wt: 2:   7 Angle Side Angle
  353.    wt: 2:   6 Ruler and compass Angle Bisection
  354.    wt: 2:   5 Side Angle Side
  355.    wt: 2:   4 Side Side Side
  356.    wt: 2:   3 Isometry of Triangles Congruence
  357.    wt: 2:   1 Initial Concepts and Terms
  358.    wt: 2:   Short Course on Euclidean Geometry
  359.    wt: 2:   26 More Less Greater Than Comparison
  360.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  361.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  362.    wt: 2:   23 Distributive Law Two Derivations
  363.    wt: 2:   19 Signed Multiples of Vectors
  364.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  365.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  366.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  367.    wt: 2:   15 Head to Tails in place Addition Associative
  368.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  369.    wt: 2:   13 Arrows and Vectors in a Plane
  370.    wt: 2:   11 Signed Number Addition and Addition Properties
  371.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  372.    wt: 2:   2 Counting Digits in Decimal Multiplication
  373.    wt: 2:   6 Column Methods for Decimal Multiplication
  374.    wt: 2:   5 Distributive Law for Whole Numbers
  375.    wt: 2:   4 Commutative Law Groups Counting Form
  376.    wt: 2:   2 Fraction Operations Physical Development
  377.    wt: 2:   5 Proportionality in Equivalent Fractions
  378.    wt: 2:   4 Rates Ratios and Proporitionality
  379.    wt: 2:   3 Proportionality Examples
  380.    wt: 2:   1 What is Proportionality
  381.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  382.    wt: 2:   3 Linear Equation Literal Solution More
  383.    wt: 2:   1 Changing Calculations
  384.    wt: 2:   3 Product Axioms Two Forms
  385.    wt: 2:   2 Addition and Multiplication Axioms
  386.    wt: 2:   16 Real Numbers Comparison
  387.    wt: 2:   15 Real Number Division
  388.    wt: 2:   14 Real Number Multiplication
  389.    wt: 2:   13 Real Number Subtraction
  390.    wt: 2:   11 Real Number Addition
  391.    wt: 2:   10 Real Number Lengths and Signs
  392.    wt: 2:   9 Coordinates for Regions in Space
  393.    wt: 2:   8 Coordinates for Maps and Planes
  394.    wt: 2:   2 Integers
  395.    wt: 2:   3 Geometric Formulas and Function Notation
  396.    wt: 2:   2 Computation Rules Evaluation
  397.    wt: 2:   1 Formulas Dependence and Function Notation
  398.    wt: 2:   4 Solving a triangular system exercise
  399.    wt: 2:   3 Solving triangular system example
  400.    wt: 2:   1 Essentially One Unknown
  401.    wt: 2:   Using Letters for Physical Quantities
  402.    wt: 2:   2 Venn Diagrams
  403.    wt: 2:   2 What is a Variable
  404.    wt: 2:   1 Three Skills For Algebra
  405.    wt: 2:   4 Greater More Less Than Signs in General
  406.    wt: 2:   3 Comparison of Negative Numbers
  407.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  408.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  409.    wt: 2:   3 signed coordinates for maps and planes
  410.    wt: 2:   2 signed and unsigned numbers as coordinates
  411.    wt: 2:   21 Working With Signs
  412.    wt: 2:   20 Dividing Fractions the Why
  413.    wt: 2:   2 Unit Fraction Multiplication
  414.    wt: 2:   12 Adding Integers More Examples
  415.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  416.    wt: 2:   26 Divisibility by 2 3 5 Example
  417.    wt: 2:   23 Remainder Arithmetic Modulo 2
  418.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  419.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  420.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  421.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  422.    wt: 2:   20 Uniqueness of Prime Factorization
  423.    wt: 2:   12 LCD GCD and LCM using Primes
  424.    wt: 2:   2 Prime and Composites less than 16
  425.    wt: 2:   Division with Counts and Length
  426.    wt: 2:   11 Another Single Digit Divisor Example
  427.    wt: 2:   10 Division by Five Long and Short Ways
  428.    wt: 2:   9 Why Long Division Works Take II
  429.    wt: 2:   8 Correcting the Mistake
  430.    wt: 2:   7 Long Divison Mistake Catching
  431.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  432.    wt: 2:   5 Long Division Include Zeroes or not
  433.    wt: 2:   3 Division Single Digit Divisor Example
  434.    wt: 2:   1 Divsion Physical Examples
  435.    wt: 2:   D Decimal Multiplication Methods Derived
  436.    wt: 2:   C Counting Areas with Powers of Ten
  437.    wt: 2:   B Powers of Ten
  438.    wt: 2:   6 Multiplication Commutes Order Not Important
  439.    wt: 2:   5 Decimal Fraction Multiplication
  440.    wt: 2:   4 Two and Three Digit Multipliers
  441.    wt: 2:   3 More One Digit Multipliers
  442.    wt: 2:   1 Why 3 times 5 gives 15
  443.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  444.    wt: 2:   8 What skills and work habits to require
  445.    wt: 2:   7 Adding decimal fractions using decimal point
  446.    wt: 2:   6. Counting and adding units and mixed units
  447.    wt: 2:   5. How to add decimals C. Examples
  448.    wt: 2:   4. How to add with decimals B with conversions
  449.    wt: 2:   3. How to add with decimals A sans conversions
  450.    wt: 2:   1. Explaining Addition Table
  451.    wt: 2:   The 20 Times Table
  452.    wt: 2:   Example 2 volume of a cone
  453.    wt: 2:   Example 1. Area Between x and x squared
  454.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  455.    wt: 2:   Example 3
  456.    wt: 2:   Example 2
  457.    wt: 2:   Area Between Curves Lesson Take 2
  458.    wt: 2:   A Chain Rule Real Player video examples
  459.    wt: 2:   30Chain Rule A Proof
  460.    wt: 2:   29 Chain Rule Optional Reading
  461.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  462.    wt: 2:   26 Chain Rule Recognising outer inner functions
  463.    wt: 2:   25 Chain Rule Animated Examples Continued
  464.    wt: 2:   24 Chain Rule Animated Examples
  465.    wt: 2:   23 Chain Rule in general
  466.    wt: 2:   19 Chain Rule for linear functions
  467.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  468.    wt: 2:   14 sine and cosine derivatives 2nd step
  469.    wt: 2:   12 Quotient rule examples
  470.    wt: 2:   11 Quotient rule
  471.    wt: 2:   9 Reciprocal rule
  472.    wt: 2:   8 Differentiation of polynomials
  473.    wt: 2:   7 Animated Differentiation Examples
  474.    wt: 2:   6 Power rule from product rule
  475.    wt: 2:   5 Product Rule
  476.    wt: 2:   3 Decimal insights for limits continuity convergence
  477.    wt: 2:   2 Algebraic codification
  478.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  479.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  480.    wt: 2:   Chapter 23 Links To Trigonometry
  481.    wt: 2:   Chapter 21 Arrow Addition
  482.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  483.    wt: 2:   Chapter 12. Units and Slopes
  484.    wt: 2:   Chapter 2. Slopes and Ski Trails
  485.    wt: 2:   Appendix D. What to do in School and Why
  486.    wt: 2:   Appendix C. How to Read
  487.    wt: 2:   Chapter 31 Direct and Indirect Reason
  488.    wt: 2:   Chapter 30 Truth Tables
  489.    wt: 2:   Chapter 19. Functions and Sets
  490.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  491.    wt: 2:   Chapter 16. Painless Theorem Proving
  492.    wt: 2:   Chapter 15. Solving Linear Equations
  493.    wt: 2:   Chapter 11. Why Shorthand
  494.    wt: 2:   Chapter 10 Describing and Changing Calculations
  495.    wt: 2:   Postscript What is a Variable
  496.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  497.    wt: 2:   Chapter 6 Change of Language
  498.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  499.    wt: 2:   Chapter 4 Longer Chains of Reason
  500.    wt: 2:   Chapter 3 Chains of Reason
  501.    wt: 2:   Annotated Links to Material Elsehwere
  502.    wt: 2:   Postscript A Three Remarks
  503.    wt: 2:   Chapter 11 Elementary Instruction
  504.    wt: 2:   Chapter 10 Transition
  505.    wt: 2:   Chapter 9 The Two Ends
  506.    wt: 2:   Chapter 8 Modern Instruction
  507.    wt: 2:   Chapter 7 Two Treatments of Geometry
  508.    wt: 2:   Chapter 5 Four References
  509.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  510.    wt: 2:   Chapter 3 Algebra Difficulties
  511.    wt: 2:   Chapter 1 Introduction
  512.    wt: 2:   Postscript B More on Story Telling and Reason
  513.    wt: 2:   Postscript A Story Telling
  514.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  515.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  516.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  517.    wt: 2:   Three Remarks
  518.    wt: 2:   Foreword
  519.    wt: 2:   N Mathematics Prepare for College Studies
  520.    wt: 2:   G. Written work formats for developing and showing skill
  521.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  522.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  523.    wt: 2:   7 Games and Activities for Instruction
  524.    wt: 2:   Helping the Blind in Logic and Mathematics
  525.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  526.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  527.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  528.    wt: 1:   chapitre 12 00 les iles et division
  529.    wt: 1:   chapitre 04 02 Deuxieme enigme
  530.    wt: 1:   chapitre 02 00 La Communication des idees
  531.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  532.    wt: 1:   4 Energy Power Heat09
  533.    wt: 1:   3 Energy Power Heat08
  534.    wt: 1:   1 Energy Power Heat06
  535.    wt: 1:   E Energy Power05
  536.    wt: 1:   D Energy Power04
  537.    wt: 1:   C Energy Power03
  538.    wt: 1:   A Energy Power01
  539.    wt: 1:   D Wire Resistance Calculation02
  540.    wt: 1:   B Wire Resistance Qualitative02
  541.    wt: 1:   3 Like resistors in parallel
  542.    wt: 1:   2 Unlike resistors in parallel01
  543.    wt: 1:   H Series Circuit02
  544.    wt: 1:   B Electromotive force conventional current01
  545.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  546.    wt: 1:   18 Primary School Mathematics
  547.    wt: 1:   17 Math Booklets for children and young teenagers
  548.    wt: 1:   16 Secondary Mathematics Tips
  549.    wt: 1:   15 Counting For Parents
  550.    wt: 1:   11 Help and Defend Your Child or Teens Education
  551.    wt: 1:   10 Ends values for work study instruction
  552.    wt: 1:   5 Patience Please for Yourself and Your Charges
  553.    wt: 1:   4 Learning Takes Time and Effort
  554.    wt: 1:   3 Preparing for Science Studies
  555.    wt: 1:   Ages 9 to 10
  556.    wt: 1:   Ages 8 to 9
  557.    wt: 1:   Ages 7 to 8
  558.    wt: 1:   Ages 6 to 7
  559.    wt: 1:   Ages 4 plus to 5 plus
  560.    wt: 1:   Ages 3 plus to 4 plus
  561.    wt: 1:   6 Set Existence Formation and Notation
  562.    wt: 1:   4 Function notation in and beyond mathematics
  563.    wt: 1:   3 Formula or function graphing exercise
  564.    wt: 1:   Introduction Reading Guide
  565.    wt: 1:   8 quadratics backward use of various formulas
  566.    wt: 1:   7 quadratic formulla derivation
  567.    wt: 1:   2 quadratics graphing in general
  568.    wt: 1:   8 Notes for instructors or tutors
  569.    wt: 1:   2 Column Multiplication Method
  570.    wt: 1:   16 cotangent function Definition Graph and Inverse
  571.    wt: 1:   15 cosecant function Definition Graph and Inverse
  572.    wt: 1:   14 secant function Definition Graph and Inverse
  573.    wt: 1:   13 cosecant function Definition Graph and Inverse
  574.    wt: 1:   11 arctan left inverse of tangent Graph
  575.    wt: 1:   10 arctan left inverse of tangent Definition
  576.    wt: 1:   9 motivation for name arcsin
  577.    wt: 1:   4 possible motivation for term arccos
  578.    wt: 1:   2 cosine function more properties
  579.    wt: 1:   9 Summary Degrees to Radians and back
  580.    wt: 1:   2 Radian Measure Numerical Value of one degree
  581.    wt: 1:   Parallel Lines and Interior Angles
  582.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  583.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  584.    wt: 1:   Straight Lines ASA Intersection Study More
  585.    wt: 1:   14 Straight Lines Equations General Case
  586.    wt: 1:   10 Straight Lines through Origin Equations More
  587.    wt: 1:   9 Straight Lines through Origin Equations
  588.    wt: 1:   1 Straight Lines Slope Concept
  589.    wt: 1:   17 tangent function angle sum formulas
  590.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  591.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  592.    wt: 1:   32 seven rows of pascals triangle
  593.    wt: 1:   30 unit circle calculation of six trigonometric functions
  594.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  595.    wt: 1:   17C sine and cosine double triple angle formulas
  596.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  597.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  598.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  599.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  600.    wt: 1:   2 Quadrant I reference Angles
  601.    wt: 1:   11 sine and cosine double triple angle formulas
  602.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  603.    wt: 1:   8 Triangles Cascade Problem Solving
  604.    wt: 1:   7 Trignometric Ratios Unit Circle
  605.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  606.    wt: 1:   3 Trigonometric Ratios sine and cosine
  607.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  608.    wt: 1:   4 Similarity Definition with Coordinate
  609.    wt: 1:   8 Mid Point Formula
  610.    wt: 1:   3 Slope product for perpendicular lines
  611.    wt: 1:   13 Pythagorean spatial distance formulas
  612.    wt: 1:   10 Pythagorean plane distance formula
  613.    wt: 1:   2 Measuring Area Directly
  614.    wt: 1:   musings do not puiblish real numbers
  615.    wt: 1:   A Modular and Remainder Arithmetic
  616.    wt: 1:   A Signed Number Arithmetic Review
  617.    wt: 1:   9 Division with Digits after Decimal Point
  618.    wt: 1:   8 Division and Mulplication of Compound Fractions
  619.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  620.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  621.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  622.    wt: 1:   4 Location of Point in Decimal Addition
  623.    wt: 1:   3 Location of Point in Decimal Multiplication
  624.    wt: 1:   1 Fractions with Finite Decimal Expansions
  625.    wt: 1:   E Long Division Methods more
  626.    wt: 1:   D Long Division Methods
  627.    wt: 1:   C Three Decimal Subtraction Methods
  628.    wt: 1:   B Decimal Comparison and Subtraction
  629.    wt: 1:   A Decimal Addition Columm Methods
  630.    wt: 1:   8 Column Multiplication Methods in General
  631.    wt: 1:   7 Decimals Multiplication Methods Examples
  632.    wt: 1:   3 Multiplicative Counting Skills Principles
  633.    wt: 1:   1 The Counting Origins of Numbers
  634.    wt: 1:   5 Areas of Rectangles Revisited
  635.    wt: 1:   4 Fraction Operations Axiomatic Development
  636.    wt: 1:   3 Inequalities Algebraically
  637.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  638.    wt: 1:   6 Equations and Systems Equivalent or Implied
  639.    wt: 1:   5 Equality in Algebra
  640.    wt: 1:   4 Subtraction and Division Axioms
  641.    wt: 1:   1 Equivalent Computation Rules
  642.    wt: 1:   5 Greater More Less Than Signs in General
  643.    wt: 1:   4 Comparison of Negative Numbers
  644.    wt: 1:   3 More and Less Than with Unlike Signs
  645.    wt: 1:   1 Real Numbers Comparison
  646.    wt: 1:   7 Real Numbers as Line Cordinates
  647.    wt: 1:   6 Unsigned Real Numbers
  648.    wt: 1:   5 Rational Numbers More
  649.    wt: 1:   4 Rational Numbers
  650.    wt: 1:   3 Fractions
  651.    wt: 1:   1 Whole and Natural Numbers
  652.    wt: 1:   5 Independent versus Dependent Variables
  653.    wt: 1:   4 Changing Letters
  654.    wt: 1:   More Exercises
  655.    wt: 1:   Simple Exercises
  656.    wt: 1:   4 GE III Animated Examples
  657.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  658.    wt: 1:   3 GE III Equation Addition and Multiplication
  659.    wt: 1:   1 GE Substitution four examples
  660.    wt: 1:   Skill Development Notes
  661.    wt: 1:   10 One Example
  662.    wt: 1:   9 Three Examples
  663.    wt: 1:   8 One Example
  664.    wt: 1:   7 Two Examples
  665.    wt: 1:   6 Three Examples
  666.    wt: 1:   5 Three Examples
  667.    wt: 1:   4 Two Examples
  668.    wt: 1:   3 Two Examples
  669.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  670.    wt: 1:   9 Sets in Probability and Statistics
  671.    wt: 1:   8 Sets of Numbers
  672.    wt: 1:   7 Cautious or Safe Set Construction
  673.    wt: 1:   6 Power Set Notation
  674.    wt: 1:   5 Product Builder Notation
  675.    wt: 1:   4 Subset Builder Notation
  676.    wt: 1:   3 Counting with Sets etc
  677.    wt: 1:   1 Finite Sets
  678.    wt: 1:   6 Three Notions of What is a Variable
  679.    wt: 1:   5 Talking about Numbers and Quantities
  680.    wt: 1:   4 A Brief Story of numbers and algebra
  681.    wt: 1:   3 Adding Words To Arithmetic
  682.    wt: 1:   About Folder Contents
  683.    wt: 1:   arithmetic videos Real Player Format
  684.    wt: 1:   2 Square Roots with Prime
  685.    wt: 1:   8 GCD from Euclidean Algorithm
  686.    wt: 1:   2 Least Common Multiple LCM intro via list method
  687.    wt: 1:   2 Counting with Tables and Trees I
  688.    wt: 1:   4 signed coordinates for regions in space
  689.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  690.    wt: 1:   2 Equality and Units
  691.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  692.    wt: 1:   19 Dividing Fractions How TO
  693.    wt: 1:   12 Fraction Comparison
  694.    wt: 1:   13 Subtraction with Additive Inverse
  695.    wt: 1:   11 Adding Integers Formulas and Examples
  696.    wt: 1:   10 Integer Multiplication Formulas
  697.    wt: 1:   21 Remainder Arithmetic Modulo 3
  698.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  699.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  700.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  701.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  702.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  703.    wt: 1:   5 Remainder Arithmetic Modulo 5
  704.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  705.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  706.    wt: 1:   1 Remainder Arithmetic Modulo 10
  707.    wt: 1:   15 video Factors of 20 using Prime Factorization
  708.    wt: 1:   14 video Factors of 24 Take II
  709.    wt: 1:   13 video Factors of 24 using prime
  710.    wt: 1:   10 video Prime Factorization upto 23 squared
  711.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  712.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  713.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  714.    wt: 1:   Formula Evaluation how to show work
  715.    wt: 1:   The 12 Times Table Visually
  716.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  717.    wt: 1:   012 Division of Time Intervals by Time Intervals
  718.    wt: 1:   2 Time and Date Matters in School
  719.    wt: 1:   Example 1 volume of a pyramid
  720.    wt: 1:   Volume of Solid by Cross Sections Lesson
  721.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  722.    wt: 1:   Example 4 with x function of y
  723.    wt: 1:   Example 1
  724.    wt: 1:   Area Between Curves Lesson Take 1
  725.    wt: 1:   Summary
  726.    wt: 1:   2 Indefinite Integrals Exercises
  727.    wt: 1:   1 Chain Rule in Reverse Integration Method
  728.    wt: 1:   2 Second derivative test prequel
  729.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  730.    wt: 1:   36 Cube root derivative animated
  731.    wt: 1:   34 Derivative of exponential function
  732.    wt: 1:   33 Chain Rule Real Player video examples
  733.    wt: 1:   31 Derivatives of inverse functions
  734.    wt: 1:   18 Chain Rule Introduction
  735.    wt: 1:   17 Derivatives of quotients of sine and cosine
  736.    wt: 1:   15 sine and cosine derivatives 3rd step
  737.    wt: 1:   13 sine and cosine derivatives 1st step
  738.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  739.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  740.    wt: 1:   11 Limits at infinity Three Examples
  741.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  742.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  743.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  744.    wt: 1:   F.4 Finite Covering Theorem
  745.    wt: 1:   F.2 Closed Range Theorem
  746.    wt: 1:   E2 Algebraic Properties of Limits
  747.    wt: 1:   D2 Limits of Monotone Sequences
  748.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  749.    wt: 1:   PostScript For and Against Decimal Perspectives
  750.    wt: 1:   Fall 1983 Calculus Appetizer
  751.    wt: 1:   Foreword
  752.    wt: 1:   Chapter 18 Sense and Knowledge
  753.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  754.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  755.    wt: 1:   Chapter 15 Objective Processes
  756.    wt: 1:   Chapter 11 Accidental Patterns
  757.    wt: 1:   Chapter 10 Responsibility
  758.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  759.    wt: 1:   Chapter 8 Change of Language
  760.    wt: 1:   Chapter 7 Longer Chains of Reason
  761.    wt: 1:   Chapter 6 Chains of Reason
  762.    wt: 1:   Chapter 5 Deception
  763.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  764.    wt: 1:   Chapter 1 Introduction
  765.    wt: 1:   R Why Learn Mathematics Skills
  766.    wt: 1:   O On Learning Mathematics and Science
  767.    wt: 1:   L Skills with take home value
  768.    wt: 1:   B. Domino effect of errors
  769.    wt: 1:   Chapter 8 Skipped Topics and Why
  770.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  771.    wt: 1:   Chapter 6 More Algebra and Geometry
  772.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  773.    wt: 1:   Chapter 3 Algebra Starter Lessons
  774.    wt: 1:   Chapter 1 Arithmetic
  775.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  776.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  777.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  778.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  779.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  780.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  781.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  782.    wt: 1:   Implementation Notes
  783.    wt: 1:   More Algebra and Slope based Calculus Preview
  784.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  785.    wt: 1:   Systematic Algebra Skill Development Missing Links
  786.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  787.    wt: 1:   Which Way To Go
  788.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  789.    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:

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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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