Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

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

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

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62 matches:

  1.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 6:   Volume 2 Three Skills For Algebra/
  4.    wt: 5:   2 Formula Forward Use Evaluation/
  5.    wt: 5:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 5:   A Decimal Counting and Adding Methods/
  7.    wt: 4:   9 Proportionality Backwards and Forwards/
  8.    wt: 4:   8 Unifying Theme For Algebra/
  9.    wt: 4:   9 Combinatorics Trees Tables and Products/
  10.    wt: 4:   D Decimal Long Division Methods/
  11.    wt: 4:   C Decimal Multiplication Methods/
  12.    wt: 4:   2 Arithmetic with Decimals/
  13.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  14.    wt: 3:   12 Function Translating and Rescaling/
  15.    wt: 3:   A Origins of Counting and Figuring Methods/
  16.    wt: 3:   10 Examples of Algebraic Reasoning/
  17.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  18.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  19.    wt: 3:   4 Computation Rules and Function Notation/
  20.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  21.    wt: 3:   Step 1 Stick diagram and fractions/
  22.    wt: 3:   11 Squares and Square Roots/
  23.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 3:   7 Arithmetic and Fractions with Units/
  25.    wt: 3:   6 Fractions and Ratios/
  26.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 3:   3 Prime Factorization Skills/
  28.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  29.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  30.    wt: 2:   B Real Numbers Extrinsic Development/
  31.    wt: 2:   5 Real Numbers/
  32.    wt: 2:   Step 4 Gaussian Elimination/
  33.    wt: 2:   3 Solving Linear Equations/
  34.    wt: 2:   1 Working With Sets/
  35.    wt: 2:   Algebra Starter Lessons/
  36.    wt: 2:   8 Arithmetic with Signed Numbers/
  37.    wt: 2:   5 Integers/
  38.    wt: 2:   1 Decimal Place Value/
  39.    wt: 2:   Arithmetic and Number Theory Skills/
  40.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  42.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  43.    wt: 1:   Mathematics Skills Year by Year/
  44.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  45.    wt: 1:   4 Functions/
  46.    wt: 1:   3 Quadratics Geometrically/
  47.    wt: 1:   1 Five Polynomial Operations/
  48.    wt: 1:   More Algebra/
  49.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  50.    wt: 1:   11 Parallel Straight Lines and Transversals/
  51.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  52.    wt: 1:   4 Lines and Slopes Take 1/
  53.    wt: 1:   3 Cartesian and Polar Coordinates/
  54.    wt: 1:   Time Date Matters/
  55.    wt: 1:   Skills with take home value/
  56.    wt: 1:   38 Lessons on Calculating Derivatives/
  57.    wt: 1:   13 Lessons on Limits and Continuity/
  58.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  59.    wt: 1:   Volume 1A Pattern Based Reason/
  60.    wt: 1:   Volume 1 Elements of Reason/
  61.    wt: 1:   Work and Study Tips/
  62.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

592 matches:

  1.    wt: 5:   26 Formulas for products of sines and cosines
  2.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  3.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  4.    wt: 4:   17E Trig Formulas for dot and cross Products
  5.    wt: 4:   13 Trig Formulas for dot and cross Products
  6.    wt: 4:   12 cis formulas for sine cosines and tangent
  7.    wt: 4:   2 More and Less Than for Counts and Measures
  8.    wt: 4:   1 Three Skills For Algebra
  9.    wt: 4:   38 Formulas and derivatives for powers and roots
  10.    wt: 4:   Chapter 8 Three Skills For Algebra
  11.    wt: 3:   02 21 words for teachers
  12.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  13.    wt: 3:   24 Standards For Skill Develoment Take II
  14.    wt: 3:   24 Standards For Skill Develoment
  15.    wt: 3:   12 Goals and Objectives For Mathematics
  16.    wt: 3:   2 Reading and Writing Skills
  17.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  18.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  19.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  20.    wt: 3:   29 secant cosecant and cotangent for acute angles
  21.    wt: 3:   27 Logarithmic use of products of sines and cosines
  22.    wt: 3:   21 sine and cosine Half Angle Formulas
  23.    wt: 3:   20 sine and cosine Double Angle Formulas
  24.    wt: 3:   17D cis formulas for sine cosines and tangent
  25.    wt: 3:   4 Equations for lines three forms
  26.    wt: 3:   2 Combing Counts Addition Skills and Principles
  27.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  28.    wt: 3:   1 Written work formats for developing and showing skill
  29.    wt: 3:   1 More and Less Than for Counts and Measures
  30.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  31.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  32.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  33.    wt: 3:   12 GCD 2700 288 via Prime
  34.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  35.    wt: 3:   21 Reciprocals for Fractions and Wholes
  36.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  37.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  38.    wt: 3:   Long Division forwards and backwards Example 2
  39.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  40.    wt: 3:   22 Chain Rule for polynomials
  41.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  42.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  43.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  44.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  45.    wt: 3:   Chapter 2 For and Against Mathematics
  46.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  47.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  48.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  49.    wt: 3:   G. Written work formats for developing and showing skill
  50.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  51.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  52.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  53.    wt: 2:   Skills Chapter 3 Algebra
  54.    wt: 2:   Skills Chapter 2 Geometry
  55.    wt: 2:   three goals to set for students
  56.    wt: 2:   geometric implications for algebra
  57.    wt: 2:   three goals for Mathematics Education
  58.    wt: 2:   02 20 mathematics education references
  59.    wt: 2:   three aims for mathematics students
  60.    wt: 2:   standards for course material
  61.    wt: 2:   formal or informal peer review
  62.    wt: 2:   Prequel In For A Penny In For A Pound
  63.    wt: 2:   fairness and inductive principles for instruction
  64.    wt: 2:   2 Conductance Resistance Duality02
  65.    wt: 2:   C Electromotive force conventional current02
  66.    wt: 2:   22 Student Centered Highschool Mathematics
  67.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  68.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  69.    wt: 2:   17 Math Booklets for children and young teenagers
  70.    wt: 2:   5 Patience Please for Yourself and Your Charges
  71.    wt: 2:   4 Learning Takes Time and Effort
  72.    wt: 2:   Ages 12 to 14 Skills with take home value
  73.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  74.    wt: 2:   26 Function definitions done and coming
  75.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  76.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  77.    wt: 2:   22 Square Root function graphically
  78.    wt: 2:   6 Set Existence Formation and Notation
  79.    wt: 2:   5 Function notation for geometric transformations
  80.    wt: 2:   2 Algebraic use of function notation
  81.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  82.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  83.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  84.    wt: 2:   12 motivation for term arctan
  85.    wt: 2:   15 Dot and Cross Product
  86.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  87.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  88.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  89.    wt: 2:   28 Expressing products of sines cosines as sums
  90.    wt: 2:   25 tangent double angle formula Slope connection
  91.    wt: 2:   24 tangent Angle Difference Formula
  92.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  93.    wt: 2:   17C sine and cosine double triple angle formulas
  94.    wt: 2:   14 cosine even and sine and tangent are odd
  95.    wt: 2:   12 Graph of tangent function for one period
  96.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  97.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  98.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  99.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  100.    wt: 2:   21 Logarithms Powers and Exponentials
  101.    wt: 2:   11 sine and cosine double triple angle formulas
  102.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  103.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  104.    wt: 2:   3 Slope product for perpendicular lines
  105.    wt: 2:   2 point slope equation for a line
  106.    wt: 2:   3 Lengths and Areas on Maps and Plans
  107.    wt: 2:   22 Multiplication of Signed Numbers
  108.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  109.    wt: 2:   2 Algebraic View
  110.    wt: 2:   6 Compound Interest Forward and Backwards
  111.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  112.    wt: 2:   3 Product Axioms Two Forms
  113.    wt: 2:   2 Addition and Multiplication Axioms
  114.    wt: 2:   8 Coordinates for Maps and Planes
  115.    wt: 2:   3 Geometric Formulas and Function Notation
  116.    wt: 2:   1 Formulas Dependence and Function Notation
  117.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  118.    wt: 2:   2 Essentially one exercises three with solution
  119.    wt: 2:   2 Three Examples
  120.    wt: 2:   2 Three Examples
  121.    wt: 2:   Formula Usage Show Work Format
  122.    wt: 2:   2 Another Rectangle Area Formula Example
  123.    wt: 2:   4 A Brief Story of numbers and algebra
  124.    wt: 2:   2 More and Less Than with Unlike Signs
  125.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  126.    wt: 2:   2 Counting with Tables and Trees I
  127.    wt: 2:   3 signed coordinates for maps and planes
  128.    wt: 2:   2 signed and unsigned numbers as coordinates
  129.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  130.    wt: 2:   2 Equality and Units
  131.    wt: 2:   22 Complex Compound Fractions
  132.    wt: 2:   11 Adding Integers Formulas and Examples
  133.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  134.    wt: 2:   26 Divisibility by 2 3 5 Example
  135.    wt: 2:   23 Remainder Arithmetic Modulo 2
  136.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  137.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  138.    wt: 2:   12 LCD GCD and LCM using Primes
  139.    wt: 2:   2 Prime and Composites less than 16
  140.    wt: 2:   Long Division forwards and backwards Example 3
  141.    wt: 2:   Long Division forwards and backwards Example 1
  142.    wt: 2:   4 Two and Three Digit Multipliers
  143.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  144.    wt: 2:   9 22 Minute Subtraction Review Video
  145.    wt: 2:   8 What skills and work habits to require
  146.    wt: 2:   6. Counting and adding units and mixed units
  147.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  148.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  149.    wt: 2:   Quick history of numbers and algebra
  150.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  151.    wt: 2:   2 Time and Date Matters in School
  152.    wt: 2:   28 Chain Rule Preparation for a Proof
  153.    wt: 2:   21 Chain Rule for powers
  154.    wt: 2:   20 Chain Rule for Pulley Systems
  155.    wt: 2:   14 sine and cosine derivatives 2nd step
  156.    wt: 2:   3 Motivation for Limit Definition Take 2
  157.    wt: 2:   2 Motivation for Limit Definition Take 1
  158.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  159.    wt: 2:   2 Algebraic codification
  160.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  161.    wt: 2:   E2 Algebraic Properties of Limits
  162.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  163.    wt: 2:   PostScript For and Against Decimal Perspectives
  164.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  165.    wt: 2:   Chapter 22 Complex Numbers
  166.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  167.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  168.    wt: 2:   Chapter 12. Units and Slopes
  169.    wt: 2:   Chapter 2. Slopes and Ski Trails
  170.    wt: 2:   Postscript For Better Performance
  171.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  172.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  173.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  174.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  175.    wt: 2:   Chapter 23. Notation For Sums
  176.    wt: 2:   Chapter 20. Degrees and Radians
  177.    wt: 2:   Chapter 18. Rules for Algebra
  178.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  179.    wt: 2:   Chapter 12. Shorthand Usage Guide
  180.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  181.    wt: 2:   Chapter 24 Direct and Indirect Reason
  182.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  183.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  184.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  185.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  186.    wt: 2:   I. Logic and language skills
  187.    wt: 2:   How to Build Skills and Confidence
  188.    wt: 2:   Chapter 6 More Algebra and Geometry
  189.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  190.    wt: 2:   7 Games and Activities for Instruction
  191.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  192.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  193.    wt: 2:   More Algebra and Slope based Calculus Preview
  194.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  195.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  196.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  197.    wt: 2:   The Math Forum and Site Content
  198.    wt: 1:   Appendix 2 primary school Arithmetic 01
  199.    wt: 1:   Appendix 1 primary and preschool mathematic
  200.    wt: 1:   G LAMP Introduction Problem Solving Skills
  201.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  202.    wt: 1:   Skills Chapter 5 Calculus
  203.    wt: 1:   Skills Chapter 4 Logic
  204.    wt: 1:   Ramblings Introduction Algebra Essay
  205.    wt: 1:   Skills Chapter 1 Arithmetic
  206.    wt: 1:   Skills Chapter 0 Introduction
  207.    wt: 1:   7 logic review and decimals an odd combination
  208.    wt: 1:   5 logarithms and exponentials etc
  209.    wt: 1:   4 algebra
  210.    wt: 1:   2 arithmetic with signed numbers
  211.    wt: 1:   permissions for teachers
  212.    wt: 1:   Applied Maths Program14092009 POMME variant
  213.    wt: 1:   activities for students
  214.    wt: 1:   key notes and themes
  215.    wt: 1:   grouping students according to ability
  216.    wt: 1:   what should be learnt and When
  217.    wt: 1:   Postscript 2007 01 10
  218.    wt: 1:   Education Reform Inconsistencies
  219.    wt: 1:   Secondary Three Mathematics
  220.    wt: 1:   talk the algebra talk
  221.    wt: 1:   three difficulties
  222.    wt: 1:   teaching tutoring algebraic reason
  223.    wt: 1:   Lessening Algebra Difficulties
  224.    wt: 1:   the trouble with algebra
  225.    wt: 1:   04 29 New Mathematics Curriculum
  226.    wt: 1:   04 25 when to stop or suspend mathemat
  227.    wt: 1:   Education in mathematics science and technology
  228.    wt: 1:   three kinds of reason in mathematics
  229.    wt: 1:   Four ways to improve education reform
  230.    wt: 1:   Motivation and Context Problem
  231.    wt: 1:   need for a mixed mathematics curriculum
  232.    wt: 1:   words for mathematics instructor
  233.    wt: 1:   chapitre 12 00 les iles et division
  234.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  235.    wt: 1:   chapitre 04 02 Deuxieme enigme
  236.    wt: 1:   chapitre 02 00 La Communication des idees
  237.    wt: 1:   2 Energy Power Heat07
  238.    wt: 1:   B Energy Power02
  239.    wt: 1:   D Wire Resistance Calculation02
  240.    wt: 1:   B Wire Resistance Qualitative02
  241.    wt: 1:   2 Unlike resistors in parallel01
  242.    wt: 1:   H Series Circuit02
  243.    wt: 1:   B Electromotive force conventional current01
  244.    wt: 1:   Home Tutoring and Home Schooling
  245.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  246.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  247.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  248.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  249.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  250.    wt: 1:   15 Counting For Parents
  251.    wt: 1:   14 Multiplication and Times Tables
  252.    wt: 1:   13 Addition and Addition Tables
  253.    wt: 1:   11 Help and Defend Your Child or Teens Education
  254.    wt: 1:   10 Ends values for work study instruction
  255.    wt: 1:   3 Preparing for Science Studies
  256.    wt: 1:   1 Speaking Skills
  257.    wt: 1:   Ages 12 to 14 Geometry
  258.    wt: 1:   Ages 12 to 14 Arithmetic
  259.    wt: 1:   Ages 10 to 12 Geometry
  260.    wt: 1:   Ages 10 to 12 Arithmetic
  261.    wt: 1:   sign monoticity analysis example 2
  262.    wt: 1:   23 Inverse Functions
  263.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  264.    wt: 1:   20 Interchanging coordinates a reflection
  265.    wt: 1:   19 Horizontal line rule and method
  266.    wt: 1:   18 Vertical Line Rule and Method
  267.    wt: 1:   17 Function maxima minima and their location
  268.    wt: 1:   12 Function Domain Recognition Exercises
  269.    wt: 1:   11 Function Domain Range Source and Targets
  270.    wt: 1:   8 Set view of relations and functions
  271.    wt: 1:   4 Function notation in and beyond mathematics
  272.    wt: 1:   3 Formula or function graphing exercise
  273.    wt: 1:   9 quadratics physical and further context
  274.    wt: 1:   8 quadratics backward use of various formulas
  275.    wt: 1:   7 quadratic formulla derivation
  276.    wt: 1:   2 quadratics graphing in general
  277.    wt: 1:   11 Growth and Decay in Biology
  278.    wt: 1:   10 Exponential Growth and Decay Models
  279.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  280.    wt: 1:   2 Square Root Simplification a prequel
  281.    wt: 1:   8 Notes for instructors or tutors
  282.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  283.    wt: 1:   2 Column Multiplication Method
  284.    wt: 1:   Rewriting algebraic substitution as function substitutions
  285.    wt: 1:   16 cotangent function Definition Graph and Inverse
  286.    wt: 1:   15 cosecant function Definition Graph and Inverse
  287.    wt: 1:   14 secant function Definition Graph and Inverse
  288.    wt: 1:   13 cosecant function Definition Graph and Inverse
  289.    wt: 1:   9 motivation for name arcsin
  290.    wt: 1:   4 possible motivation for term arccos
  291.    wt: 1:   2 cosine function more properties
  292.    wt: 1:   9 Summary Degrees to Radians and back
  293.    wt: 1:   2 Radian Measure Numerical Value of one degree
  294.    wt: 1:   1 Degrees and Radians Introduction
  295.    wt: 1:   A Global Time and Navigation
  296.    wt: 1:   12 From Applied To Pure Mathematics
  297.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  298.    wt: 1:   2 Signed Coordinates
  299.    wt: 1:   Vector and Complex Number Applet
  300.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  301.    wt: 1:   Parallel Lines and Parallel Transversals
  302.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  303.    wt: 1:   Parallel Lines and Interior Angles
  304.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  305.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  306.    wt: 1:   12 Straight Lines Graphing mx plus b
  307.    wt: 1:   8 Straight Lines Equation for vertical
  308.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  309.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  310.    wt: 1:   17 tangent function angle sum formulas
  311.    wt: 1:   32 seven rows of pascals triangle
  312.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  313.    wt: 1:   10 Graphs of sines and cosines many periods
  314.    wt: 1:   9 Graphs of sine and cosine over one period
  315.    wt: 1:   7 period of sine and cosine
  316.    wt: 1:   2 Quadrant I reference Angles
  317.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  318.    wt: 1:   20 N th Roots of Complex Numbers
  319.    wt: 1:   16 References and Originality Question
  320.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  321.    wt: 1:   7 Second Way to Calculate Products
  322.    wt: 1:   2 Complex Numbers made easier we hope
  323.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  324.    wt: 1:   3 Trigonometric Ratios sine and cosine
  325.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  326.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  327.    wt: 1:   12 Triangles Similarity More Problems
  328.    wt: 1:   8 Similarity of Triangles and Polygons
  329.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  330.    wt: 1:   2 Similarity By Design
  331.    wt: 1:   12 Links Lessons elsewhere
  332.    wt: 1:   10 Midpoint of [a b] and [b a]
  333.    wt: 1:   8 Mid Point Formula
  334.    wt: 1:   7 Exercises to test skill and concept mastery
  335.    wt: 1:   5 Algebraic View of Slopes
  336.    wt: 1:   1 Numerical view of lines and their equations
  337.    wt: 1:   What is and is not here
  338.    wt: 1:   13 Pythagorean spatial distance formulas
  339.    wt: 1:   12 Spatial Coordinates
  340.    wt: 1:   10 Pythagorean plane distance formula
  341.    wt: 1:   6 Polar Multiplication and Rotation
  342.    wt: 1:   5 Cartesian Addition and Translation
  343.    wt: 1:   4 Polar Coordinates to and from
  344.    wt: 1:   2 Cartesian Coordinates with signs
  345.    wt: 1:   PS H Distributive Law For Complex Numbers
  346.    wt: 1:   21 Parallelograms
  347.    wt: 1:   16 Angles Subtended By Chords and Diameters
  348.    wt: 1:   12 Side Angle Side Failure
  349.    wt: 1:   6 Ruler and compass Angle Bisection
  350.    wt: 1:   2 Correspondence between Triangles
  351.    wt: 1:   1 Initial Concepts and Terms
  352.    wt: 1:   2 Measuring Area Directly
  353.    wt: 1:   A Modular and Remainder Arithmetic
  354.    wt: 1:   26 More Less Greater Than Comparison
  355.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  356.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  357.    wt: 1:   23 Distributive Law Two Derivations
  358.    wt: 1:   21 Addition of Multiples of a Single Vector
  359.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  360.    wt: 1:   13 Arrows and Vectors in a Plane
  361.    wt: 1:   12 Real Numbers Line Signed Coordinates
  362.    wt: 1:   11 Signed Number Addition and Addition Properties
  363.    wt: 1:   8 Division and Mulplication of Compound Fractions
  364.    wt: 1:   2 Counting Digits in Decimal Multiplication
  365.    wt: 1:   C Three Decimal Subtraction Methods
  366.    wt: 1:   B Decimal Comparison and Subtraction
  367.    wt: 1:   6 Column Methods for Decimal Multiplication
  368.    wt: 1:   5 Distributive Law for Whole Numbers
  369.    wt: 1:   4 Commutative Law Groups Counting Form
  370.    wt: 1:   3 Multiplicative Counting Skills Principles
  371.    wt: 1:   3 Inequalities Algebraically
  372.    wt: 1:   2 Fraction Operations Physical Development
  373.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  374.    wt: 1:   4 Rates Ratios and Proporitionality
  375.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  376.    wt: 1:   5 Triangle Area Formula Backwards
  377.    wt: 1:   2 Linear Equation Literal Solution
  378.    wt: 1:   6 Equations and Systems Equivalent or Implied
  379.    wt: 1:   5 Equality in Algebra
  380.    wt: 1:   4 Subtraction and Division Axioms
  381.    wt: 1:   3 More and Less Than with Unlike Signs
  382.    wt: 1:   12 Real Number Additive Inverses or Negatives
  383.    wt: 1:   10 Real Number Lengths and Signs
  384.    wt: 1:   9 Coordinates for Regions in Space
  385.    wt: 1:   2 Integers
  386.    wt: 1:   1 Whole and Natural Numbers
  387.    wt: 1:   2 Computation Rules Evaluation
  388.    wt: 1:   3 GE III Equation Addition and Multiplication
  389.    wt: 1:   2 GE II Comparison
  390.    wt: 1:   6 Algebraic Solution Example
  391.    wt: 1:   5 Algebraic Solutions Introduction
  392.    wt: 1:   9 Three Examples
  393.    wt: 1:   6 Three Examples
  394.    wt: 1:   5 Three Examples
  395.    wt: 1:   Using Letters for Physical Quantities
  396.    wt: 1:   13 Naming Identifying Formulas with Words
  397.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  398.    wt: 1:   8 Compound Interest Formula Evaluation
  399.    wt: 1:   7 Compound Interest Formula Introduction
  400.    wt: 1:   5 Box Volume Formula Example
  401.    wt: 1:   4 Circle Area Formula Example
  402.    wt: 1:   3 Triangle Area Formula Example
  403.    wt: 1:   9 Sets in Probability and Statistics
  404.    wt: 1:   5 Product Builder Notation
  405.    wt: 1:   2 Venn Diagrams
  406.    wt: 1:   6 Three Notions of What is a Variable
  407.    wt: 1:   5 Talking about Numbers and Quantities
  408.    wt: 1:   2 What is a Variable
  409.    wt: 1:   arithmetic videos Real Player Format
  410.    wt: 1:   2 Square Roots with Prime
  411.    wt: 1:   1 Squares and Square Roots Introduction
  412.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  413.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  414.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  415.    wt: 1:   7 GCD and LCM from prime factorization
  416.    wt: 1:   4 LCM of 8 and 10 via Prime
  417.    wt: 1:   2 Least Common Multiple LCM intro via list method
  418.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  419.    wt: 1:   4 Counting with Trees Product Rule Take I
  420.    wt: 1:   3 Counting with Tables and Trees II
  421.    wt: 1:   1 Counting and Counting Methods I
  422.    wt: 1:   11 What are real lengths and numbers
  423.    wt: 1:   7 negative and additive inverse
  424.    wt: 1:   5 lengths and signs of numbers
  425.    wt: 1:   4 signed coordinates for regions in space
  426.    wt: 1:   3 Multiplying Units and Numbers
  427.    wt: 1:   1 Addition and Subtraction with Units
  428.    wt: 1:   D Three Term Ratios
  429.    wt: 1:   B Fractions and Two Term Ratios
  430.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  431.    wt: 1:   21 Working With Signs
  432.    wt: 1:   20 Dividing Fractions the Why
  433.    wt: 1:   17 Efficient Ways to Add and Subtract
  434.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  435.    wt: 1:   14 Adding and Subtracting with Like Denominators
  436.    wt: 1:   13 Fraction Comparison Algebraic View
  437.    wt: 1:   12 Fraction Comparison
  438.    wt: 1:   11 Simplification an Algebraic View
  439.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  440.    wt: 1:   9 Improper Fractions and Mixed Numbers
  441.    wt: 1:   6 Multiplication Algebraically Take II
  442.    wt: 1:   2 Unit Fraction Multiplication
  443.    wt: 1:   12 Adding Integers More Examples
  444.    wt: 1:   10 Integer Multiplication Formulas
  445.    wt: 1:   5 Zero Movement and Additive Inverses
  446.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  447.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  448.    wt: 1:   21 Remainder Arithmetic Modulo 3
  449.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  450.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  451.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  452.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  453.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  454.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  455.    wt: 1:   20 Uniqueness of Prime Factorization
  456.    wt: 1:   17 Identify and Count Factors using Primes
  457.    wt: 1:   15 video Factors of 20 using Prime Factorization
  458.    wt: 1:   14 video Factors of 24 Take II
  459.    wt: 1:   13 video Factors of 24 using prime
  460.    wt: 1:   10 video Prime Factorization upto 23 squared
  461.    wt: 1:   7 Calculator Usage Notes and Cautions
  462.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  463.    wt: 1:   5 Prime Factorization and a Square Rule
  464.    wt: 1:   3 video Primes and Composites from 9 times table
  465.    wt: 1:   1 video how Products are bigger than factor
  466.    wt: 1:   Division with Counts and Length
  467.    wt: 1:   12 Why Long Division Works Take III
  468.    wt: 1:   10 Division by Five Long and Short Ways
  469.    wt: 1:   4 Division with 2 Digit Divsors
  470.    wt: 1:   2 Division with Single Digit Divisors
  471.    wt: 1:   A Elementary Basis for Multiplication Methods
  472.    wt: 1:   2 One Digit Multipliers
  473.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  474.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  475.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  476.    wt: 1:   5 A Tip for Efficent Subtraction
  477.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  478.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  479.    wt: 1:   2 Subtraction Easy Case Examples
  480.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  481.    wt: 1:   2 Decimal Counting Practices
  482.    wt: 1:   11 Place Value SI Standard International way
  483.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  484.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  485.    wt: 1:   Exact Arithmetic Wholes and Fractions
  486.    wt: 1:   Formula Evaluation how to show work
  487.    wt: 1:   The 20 Times Table
  488.    wt: 1:   The 12 Times Table Visually
  489.    wt: 1:   015 School and work day counting tables
  490.    wt: 1:   012 Division of Time Intervals by Time Intervals
  491.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  492.    wt: 1:   4 Mixing and Changing Units of Time
  493.    wt: 1:   3 Units and Lengths of Time
  494.    wt: 1:   1 Intro of Kids To Time Date Skills
  495.    wt: 1:   Example 2 volume of a cone
  496.    wt: 1:   Example 1. Area Between x and x squared
  497.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  498.    wt: 1:   Example 2
  499.    wt: 1:   Area Between Curves Lesson Take 2
  500.    wt: 1:   2 Indefinite Integrals Exercises
  501.    wt: 1:   2 Second derivative test prequel
  502.    wt: 1:   29 Chain Rule Optional Reading
  503.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  504.    wt: 1:   26 Chain Rule Recognising outer inner functions
  505.    wt: 1:   25 Chain Rule Animated Examples Continued
  506.    wt: 1:   24 Chain Rule Animated Examples
  507.    wt: 1:   23 Chain Rule in general
  508.    wt: 1:   19 Chain Rule for linear functions
  509.    wt: 1:   17 Derivatives of quotients of sine and cosine
  510.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  511.    wt: 1:   15 sine and cosine derivatives 3rd step
  512.    wt: 1:   13 sine and cosine derivatives 1st step
  513.    wt: 1:   12 Quotient rule examples
  514.    wt: 1:   10 Power rule for negative integers
  515.    wt: 1:   6 Power rule from product rule
  516.    wt: 1:   5 Product Rule
  517.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  518.    wt: 1:   11 Limits at infinity Three Examples
  519.    wt: 1:   10 Three one sided limits with infinite values
  520.    wt: 1:   9 Limits Continuity and Composition
  521.    wt: 1:   5 Jumps and absence of unlimited error control
  522.    wt: 1:   3 Decimal insights for limits continuity convergence
  523.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  524.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  525.    wt: 1:   F.2 Closed Range Theorem
  526.    wt: 1:   D2 Limits of Monotone Sequences
  527.    wt: 1:   Chapter 23 Links To Trigonometry
  528.    wt: 1:   Chapter 21 Arrow Addition
  529.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  530.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  531.    wt: 1:   Chapter 10 Slopes and Units
  532.    wt: 1:   Chapter 7 Slopes and Velocity
  533.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  534.    wt: 1:   Foreword
  535.    wt: 1:   Postscript More on Better Performance
  536.    wt: 1:   Appendix E. How To Study Mathematics and Why
  537.    wt: 1:   Appendix D. What to do in School and Why
  538.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  539.    wt: 1:   Chapter 31 Direct and Indirect Reason
  540.    wt: 1:   Chapter 28 Occurrence Tables
  541.    wt: 1:   Chapter 25. Mathematical Induction Examples
  542.    wt: 1:   Chapter 21. Third Reading Guide
  543.    wt: 1:   Chapter 19. Functions and Sets
  544.    wt: 1:   Chapter 11. Why Shorthand
  545.    wt: 1:   Chapter 10 Describing and Changing Calculations
  546.    wt: 1:   Solutions For Arithmetic Exercises
  547.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  548.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  549.    wt: 1:   Foreword
  550.    wt: 1:   Postscript A Three Remarks
  551.    wt: 1:   Chapter 12 Four Phases
  552.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  553.    wt: 1:   Chapter 3 Algebra Difficulties
  554.    wt: 1:   Foreword
  555.    wt: 1:   Postscript C Consistency as a Tool for Reason
  556.    wt: 1:   Postscript B More on Story Telling and Reason
  557.    wt: 1:   Chapter 23 Truth Tables
  558.    wt: 1:   Chapter 21 Occurrence Tables
  559.    wt: 1:   Chapter 18 Sense and Knowledge
  560.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  561.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  562.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  563.    wt: 1:   Chapter 2 Skill Development
  564.    wt: 1:   Three Remarks
  565.    wt: 1:   Foreword
  566.    wt: 1:   S Adding words to algebra
  567.    wt: 1:   R Why Learn Mathematics Skills
  568.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  569.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  570.    wt: 1:   O On Learning Mathematics and Science
  571.    wt: 1:   N Mathematics Prepare for College Studies
  572.    wt: 1:   L Skills with take home value
  573.    wt: 1:   N Improving Marks on Tests and Finals
  574.    wt: 1:   J. More on written work and showing skill
  575.    wt: 1:   H Jigsaw puzzles and problem solving
  576.    wt: 1:   E. When and how to correct errors
  577.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  578.    wt: 1:   Chapter 8 Skipped Topics and Why
  579.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  580.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  581.    wt: 1:   Chapter 3 Algebra Starter Lessons
  582.    wt: 1:   Chapter 2 Why Sets
  583.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  584.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  585.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  586.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  587.    wt: 1:   Helping the Blind in Logic and Mathematics
  588.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  589.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  590.    wt: 1:   Systematic Algebra Skill Development Missing Links
  591.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  592.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

981 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  3.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  4.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  5.    wt: 9:   Chapter 24. Personal Investment and Pension EGS
  6.    wt: 9:   Chapter 23. Notation For Sums
  7.    wt: 9:   Chapter 20. Degrees and Radians
  8.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  9.    wt: 9:   Chapter 12. Shorthand Usage Guide
  10.    wt: 8:   1 Written work formats for developing and showing skill
  11.    wt: 8:   2 More and Less Than with Unlike Signs
  12.    wt: 8:   1 More and Less Than for Counts and Measures
  13.    wt: 8:   Long Division forwards and backwards Example 2
  14.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  15.    wt: 8:   9 22 Minute Subtraction Review Video
  16.    wt: 8:   2 Subtraction Easy Case Examples
  17.    wt: 8:   Postscript For Better Performance
  18.    wt: 8:   Chapter 28 Occurrence Tables
  19.    wt: 8:   Chapter 25. Mathematical Induction Examples
  20.    wt: 8:   Chapter 21. Third Reading Guide
  21.    wt: 8:   Chapter 18. Rules for Algebra
  22.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  23.    wt: 8:   Chapter 5 Islands and Divisions of Knowledge
  24.    wt: 7:   2 Combing Counts Addition Skills and Principles
  25.    wt: 7:   2 Algebraic View
  26.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  27.    wt: 7:   2 More and Less Than for Counts and Measures
  28.    wt: 7:   6 Algebraic Solution Example
  29.    wt: 7:   5 Algebraic Solutions Introduction
  30.    wt: 7:   2 Another Rectangle Area Formula Example
  31.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  32.    wt: 7:   21 Reciprocals for Fractions and Wholes
  33.    wt: 7:   Long Division forwards and backwards Example 3
  34.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  35.    wt: 7:   5 A Tip for Efficent Subtraction
  36.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  37.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  38.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  39.    wt: 7:   8 What skills and work habits to require
  40.    wt: 7:   6. Counting and adding units and mixed units
  41.    wt: 7:   2 Decimal Counting Practices
  42.    wt: 7:   Postscript More on Better Performance
  43.    wt: 7:   Appendix E. How To Study Mathematics and Why
  44.    wt: 7:   Appendix D. What to do in School and Why
  45.    wt: 7:   Appendix B. How To Learn
  46.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  47.    wt: 7:   Chapter 31 Direct and Indirect Reason
  48.    wt: 7:   Chapter 19. Functions and Sets
  49.    wt: 7:   Chapter 11. Why Shorthand
  50.    wt: 7:   Chapter 10 Describing and Changing Calculations
  51.    wt: 7:   Solutions For Arithmetic Exercises
  52.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  53.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  54.    wt: 7:   Foreword
  55.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  56.    wt: 6:   26 Formulas for products of sines and cosines
  57.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  58.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  59.    wt: 6:   6 Compound Interest Forward and Backwards
  60.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  61.    wt: 6:   2 Essentially one exercises three with solution
  62.    wt: 6:   4 Four Examples Fractional Coefficients
  63.    wt: 6:   3 Four Examples
  64.    wt: 6:   1 Proper Equal Sign Usage
  65.    wt: 6:   2 Three Examples
  66.    wt: 6:   13 Naming Identifying Formulas with Words
  67.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  68.    wt: 6:   8 Compound Interest Formula Evaluation
  69.    wt: 6:   7 Compound Interest Formula Introduction
  70.    wt: 6:   5 Box Volume Formula Example
  71.    wt: 6:   4 Circle Area Formula Example
  72.    wt: 6:   3 Triangle Area Formula Example
  73.    wt: 6:   1 Three Skills For Algebra
  74.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  75.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  76.    wt: 6:   12 GCD 2700 288 via Prime
  77.    wt: 6:   2 Counting with Tables and Trees I
  78.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  79.    wt: 6:   22 Complex Compound Fractions
  80.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  81.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  82.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  83.    wt: 6:   12 LCD GCD and LCM using Primes
  84.    wt: 6:   2 Prime and Composites less than 16
  85.    wt: 6:   Long Division forwards and backwards Example 1
  86.    wt: 6:   12 Why Long Division Works Take III
  87.    wt: 6:   2 Division with Single Digit Divisors
  88.    wt: 6:   4 Two and Three Digit Multipliers
  89.    wt: 6:   2 One Digit Multipliers
  90.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  91.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  92.    wt: 6:   Video Power Notation in Decimal Expansion
  93.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  94.    wt: 6:   Subtraction with J Conversions Example
  95.    wt: 6:   Subtraction Another Video Lesson
  96.    wt: 6:   8 Subtraction with Units of Measure
  97.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  98.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  99.    wt: 6:   Appendix C. How to Read
  100.    wt: 6:   Chapter 30 Truth Tables
  101.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  102.    wt: 6:   Chapter 16. Painless Theorem Proving
  103.    wt: 6:   Chapter 15. Solving Linear Equations
  104.    wt: 6:   Chapter 13. Second Reading Guide
  105.    wt: 6:   Postscript What is a Variable
  106.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  107.    wt: 6:   Chapter 6 Change of Language
  108.    wt: 6:   Chapter 4 Longer Chains of Reason
  109.    wt: 6:   Chapter 3 Chains of Reason
  110.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  111.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  112.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  113.    wt: 5:   22 Square Root function graphically
  114.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  115.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  116.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  117.    wt: 5:   2 Square Root Simplification a prequel
  118.    wt: 5:   12 cis formulas for sine cosines and tangent
  119.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  120.    wt: 5:   4 Rates Ratios and Proporitionality
  121.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  122.    wt: 5:   5 Triangle Area Formula Backwards
  123.    wt: 5:   2 Linear Equation Literal Solution
  124.    wt: 5:   3 Product Axioms Two Forms
  125.    wt: 5:   2 Addition and Multiplication Axioms
  126.    wt: 5:   3 Geometric Formulas and Function Notation
  127.    wt: 5:   1 Formulas Dependence and Function Notation
  128.    wt: 5:   11 Volume of Sphere
  129.    wt: 5:   10 Volume of Pyramid
  130.    wt: 5:   9 Volume of Cone
  131.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  132.    wt: 5:   4 Greater More Less Than Signs in General
  133.    wt: 5:   3 Comparison of Negative Numbers
  134.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  135.    wt: 5:   5 Counting with Tables Trees Product Rule Take II
  136.    wt: 5:   4 Counting with Trees Product Rule Take I
  137.    wt: 5:   3 Counting with Tables and Trees II
  138.    wt: 5:   1 Counting and Counting Methods I
  139.    wt: 5:   3 signed coordinates for maps and planes
  140.    wt: 5:   2 signed and unsigned numbers as coordinates
  141.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  142.    wt: 5:   2 Equality and Units
  143.    wt: 5:   21 Working With Signs
  144.    wt: 5:   20 Dividing Fractions the Why
  145.    wt: 5:   2 Unit Fraction Multiplication
  146.    wt: 5:   26 Divisibility by 2 3 5 Example
  147.    wt: 5:   23 Remainder Arithmetic Modulo 2
  148.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  149.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  150.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  151.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  152.    wt: 5:   20 Uniqueness of Prime Factorization
  153.    wt: 5:   Long Division Backwards more
  154.    wt: 5:   Long Division Backward
  155.    wt: 5:   Division with Counts and Length
  156.    wt: 5:   10 Division by Five Long and Short Ways
  157.    wt: 5:   4 Division with 2 Digit Divsors
  158.    wt: 5:   A Elementary Basis for Multiplication Methods
  159.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  160.    wt: 5:   7 Adding decimal fractions using decimal point
  161.    wt: 5:   5. How to add decimals C. Examples
  162.    wt: 5:   4. How to add with decimals B with conversions
  163.    wt: 5:   3. How to add with decimals A sans conversions
  164.    wt: 5:   1. Explaining Addition Table
  165.    wt: 5:   38 Formulas and derivatives for powers and roots
  166.    wt: 5:   Chapter 2 For and Against Mathematics
  167.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  168.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  169.    wt: 4:   three goals for Mathematics Education
  170.    wt: 4:   02 21 words for teachers
  171.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  172.    wt: 4:   24 Standards For Skill Develoment Take II
  173.    wt: 4:   24 Standards For Skill Develoment
  174.    wt: 4:   22 Student Centered Highschool Mathematics
  175.    wt: 4:   12 Goals and Objectives For Mathematics
  176.    wt: 4:   2 Reading and Writing Skills
  177.    wt: 4:   Ages 12 to 14 Skills with take home value
  178.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  179.    wt: 4:   26 Function definitions done and coming
  180.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  181.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  182.    wt: 4:   2 Algebraic use of function notation
  183.    wt: 4:   11 Growth and Decay in Biology
  184.    wt: 4:   10 Exponential Growth and Decay Models
  185.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  186.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  187.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  188.    wt: 4:   8 Straight Lines Equation for vertical
  189.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  190.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  191.    wt: 4:   29 secant cosecant and cotangent for acute angles
  192.    wt: 4:   27 Logarithmic use of products of sines and cosines
  193.    wt: 4:   21 sine and cosine Half Angle Formulas
  194.    wt: 4:   17E Trig Formulas for dot and cross Products
  195.    wt: 4:   13 Trig Formulas for dot and cross Products
  196.    wt: 4:   4 Equations for lines three forms
  197.    wt: 4:   2 point slope equation for a line
  198.    wt: 4:   PS H Distributive Law For Complex Numbers
  199.    wt: 4:   PS B Parallelogram Construction Methods
  200.    wt: 4:   21 Parallelograms
  201.    wt: 4:   12 Side Angle Side Failure
  202.    wt: 4:   2 Correspondence between Triangles
  203.    wt: 4:   22 Multiplication of Signed Numbers
  204.    wt: 4:   21 Addition of Multiples of a Single Vector
  205.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  206.    wt: 4:   13 Arrows and Vectors in a Plane
  207.    wt: 4:   12 Real Numbers Line Signed Coordinates
  208.    wt: 4:   11 Signed Number Addition and Addition Properties
  209.    wt: 4:   C Three Decimal Subtraction Methods
  210.    wt: 4:   B Decimal Comparison and Subtraction
  211.    wt: 4:   6 Column Methods for Decimal Multiplication
  212.    wt: 4:   5 Distributive Law for Whole Numbers
  213.    wt: 4:   4 Commutative Law Groups Counting Form
  214.    wt: 4:   3 Multiplicative Counting Skills Principles
  215.    wt: 4:   3 Inequalities Algebraically
  216.    wt: 4:   2 Fraction Operations Physical Development
  217.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  218.    wt: 4:   5 Proportionality in Equivalent Fractions
  219.    wt: 4:   3 Proportionality Examples
  220.    wt: 4:   1 What is Proportionality
  221.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  222.    wt: 4:   3 Linear Equation Literal Solution More
  223.    wt: 4:   1 Changing Calculations
  224.    wt: 4:   6 Equations and Systems Equivalent or Implied
  225.    wt: 4:   5 Equality in Algebra
  226.    wt: 4:   4 Subtraction and Division Axioms
  227.    wt: 4:   3 More and Less Than with Unlike Signs
  228.    wt: 4:   12 Real Number Additive Inverses or Negatives
  229.    wt: 4:   10 Real Number Lengths and Signs
  230.    wt: 4:   8 Coordinates for Maps and Planes
  231.    wt: 4:   2 Computation Rules Evaluation
  232.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  233.    wt: 4:   2 GE II Comparison
  234.    wt: 4:   9 Three Examples
  235.    wt: 4:   6 Three Examples
  236.    wt: 4:   5 Three Examples
  237.    wt: 4:   Formula Usage Show Work Format
  238.    wt: 4:   4 A Brief Story of numbers and algebra
  239.    wt: 4:   2 Square Roots with Prime
  240.    wt: 4:   1 Squares and Square Roots Introduction
  241.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  242.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  243.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  244.    wt: 4:   8 GCD from Euclidean Algorithm
  245.    wt: 4:   7 GCD and LCM from prime factorization
  246.    wt: 4:   4 LCM of 8 and 10 via Prime
  247.    wt: 4:   2 Least Common Multiple LCM intro via list method
  248.    wt: 4:   3 Multiplying Units and Numbers
  249.    wt: 4:   1 Addition and Subtraction with Units
  250.    wt: 4:   D Three Term Ratios
  251.    wt: 4:   B Fractions and Two Term Ratios
  252.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  253.    wt: 4:   19 Dividing Fractions How TO
  254.    wt: 4:   17 Efficient Ways to Add and Subtract
  255.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  256.    wt: 4:   14 Adding and Subtracting with Like Denominators
  257.    wt: 4:   13 Fraction Comparison Algebraic View
  258.    wt: 4:   12 Fraction Comparison
  259.    wt: 4:   11 Simplification an Algebraic View
  260.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  261.    wt: 4:   9 Improper Fractions and Mixed Numbers
  262.    wt: 4:   6 Multiplication Algebraically Take II
  263.    wt: 4:   12 Adding Integers More Examples
  264.    wt: 4:   11 Adding Integers Formulas and Examples
  265.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  266.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  267.    wt: 4:   21 Remainder Arithmetic Modulo 3
  268.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  269.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  270.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  271.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  272.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  273.    wt: 4:   5 Remainder Arithmetic Modulo 5
  274.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  275.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  276.    wt: 4:   1 Remainder Arithmetic Modulo 10
  277.    wt: 4:   17 Identify and Count Factors using Primes
  278.    wt: 4:   15 video Factors of 20 using Prime Factorization
  279.    wt: 4:   14 video Factors of 24 Take II
  280.    wt: 4:   13 video Factors of 24 using prime
  281.    wt: 4:   10 video Prime Factorization upto 23 squared
  282.    wt: 4:   7 Calculator Usage Notes and Cautions
  283.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  284.    wt: 4:   5 Prime Factorization and a Square Rule
  285.    wt: 4:   3 video Primes and Composites from 9 times table
  286.    wt: 4:   1 video how Products are bigger than factor
  287.    wt: 4:   11 Another Single Digit Divisor Example
  288.    wt: 4:   9 Why Long Division Works Take II
  289.    wt: 4:   8 Correcting the Mistake
  290.    wt: 4:   7 Long Divison Mistake Catching
  291.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  292.    wt: 4:   5 Long Division Include Zeroes or not
  293.    wt: 4:   3 Division Single Digit Divisor Example
  294.    wt: 4:   1 Divsion Physical Examples
  295.    wt: 4:   D Decimal Multiplication Methods Derived
  296.    wt: 4:   C Counting Areas with Powers of Ten
  297.    wt: 4:   B Powers of Ten
  298.    wt: 4:   6 Multiplication Commutes Order Not Important
  299.    wt: 4:   5 Decimal Fraction Multiplication
  300.    wt: 4:   3 More One Digit Multipliers
  301.    wt: 4:   1 Why 3 times 5 gives 15
  302.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  303.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  304.    wt: 4:   Quick history of numbers and algebra
  305.    wt: 4:   The 20 Times Table
  306.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  307.    wt: 4:   Example 1. Area Between x and x squared
  308.    wt: 4:   22 Chain Rule for polynomials
  309.    wt: 4:   21 Chain Rule for powers
  310.    wt: 4:   2 Algebraic codification
  311.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  312.    wt: 4:   Chapter 22 Complex Numbers
  313.    wt: 4:   Chapter 24 Direct and Indirect Reason
  314.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  315.    wt: 4:   G. Written work formats for developing and showing skill
  316.    wt: 4:   7 Games and Activities for Instruction
  317.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  318.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  319.    wt: 3:   Skills Chapter 2 Geometry
  320.    wt: 3:   2 arithmetic with signed numbers
  321.    wt: 3:   geometric implications for algebra
  322.    wt: 3:   Lessening Algebra Difficulties
  323.    wt: 3:   the trouble with algebra
  324.    wt: 3:   02 20 mathematics education references
  325.    wt: 3:   three aims for mathematics students
  326.    wt: 3:   Prequel In For A Penny In For A Pound
  327.    wt: 3:   fairness and inductive principles for instruction
  328.    wt: 3:   B Energy Power02
  329.    wt: 3:   2 Conductance Resistance Duality02
  330.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  331.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  332.    wt: 3:   Ages 12 to 14 Geometry
  333.    wt: 3:   Ages 12 to 14 Arithmetic
  334.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  335.    wt: 3:   sign monoticity analysis example 2
  336.    wt: 3:   23 Inverse Functions
  337.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  338.    wt: 3:   20 Interchanging coordinates a reflection
  339.    wt: 3:   12 Function Domain Recognition Exercises
  340.    wt: 3:   6 Set Existence Formation and Notation
  341.    wt: 3:   5 Function notation for geometric transformations
  342.    wt: 3:   5 Natural Logarithm Calculator Exercises
  343.    wt: 3:   1 Calculator Starter Exercises
  344.    wt: 3:   12 motivation for term arctan
  345.    wt: 3:   9 Summary Degrees to Radians and back
  346.    wt: 3:   4 graphing y=Asin(x c)
  347.    wt: 3:   3 graphing y=f(x c) plus K
  348.    wt: 3:   1 graphing y=f(x a)
  349.    wt: 3:   Parallel Lines and Interior Angles
  350.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  351.    wt: 3:   C Straight Lines Slope from Coordinates
  352.    wt: 3:   B Straight Line Slope Scaling Properties More
  353.    wt: 3:   A Straight Line Slope Scaling Properties
  354.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  355.    wt: 3:   12 Straight Lines Graphing mx plus b
  356.    wt: 3:   11 Straight Lines Graphing y=mx
  357.    wt: 3:   7 Tangent Function is odd on this domain
  358.    wt: 3:   5 Tangent Function Graph
  359.    wt: 3:   4 Tangent Function Properties
  360.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  361.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  362.    wt: 3:   28 Expressing products of sines cosines as sums
  363.    wt: 3:   25 tangent double angle formula Slope connection
  364.    wt: 3:   24 tangent Angle Difference Formula
  365.    wt: 3:   20 sine and cosine Double Angle Formulas
  366.    wt: 3:   17D cis formulas for sine cosines and tangent
  367.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  368.    wt: 3:   21 Logarithms Powers and Exponentials
  369.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  370.    wt: 3:   12 Links Lessons elsewhere
  371.    wt: 3:   3 Slope product for perpendicular lines
  372.    wt: 3:   12 Spatial Coordinates
  373.    wt: 3:   2 Cartesian Coordinates with signs
  374.    wt: 3:   PS G Rotation Distributes over Addition
  375.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  376.    wt: 3:   PS E Multiplication with Polar Coordinates
  377.    wt: 3:   PS D Addition with Cartesian Coordinates
  378.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  379.    wt: 3:   PS A Kite Construction Methods
  380.    wt: 3:   16 Angles Subtended By Chords and Diameters
  381.    wt: 3:   6 Ruler and compass Angle Bisection
  382.    wt: 3:   1 Initial Concepts and Terms
  383.    wt: 3:   A Modular and Remainder Arithmetic
  384.    wt: 3:   26 More Less Greater Than Comparison
  385.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  386.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  387.    wt: 3:   23 Distributive Law Two Derivations
  388.    wt: 3:   19 Signed Multiples of Vectors
  389.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  390.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  391.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  392.    wt: 3:   15 Head to Tails in place Addition Associative
  393.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  394.    wt: 3:   8 Division and Mulplication of Compound Fractions
  395.    wt: 3:   2 Counting Digits in Decimal Multiplication
  396.    wt: 3:   E Long Division Methods more
  397.    wt: 3:   D Long Division Methods
  398.    wt: 3:   A Decimal Addition Columm Methods
  399.    wt: 3:   8 Column Multiplication Methods in General
  400.    wt: 3:   7 Decimals Multiplication Methods Examples
  401.    wt: 3:   1 The Counting Origins of Numbers
  402.    wt: 3:   5 Areas of Rectangles Revisited
  403.    wt: 3:   4 Fraction Operations Axiomatic Development
  404.    wt: 3:   1 Equivalent Computation Rules
  405.    wt: 3:   5 Greater More Less Than Signs in General
  406.    wt: 3:   4 Comparison of Negative Numbers
  407.    wt: 3:   1 Real Numbers Comparison
  408.    wt: 3:   16 Real Numbers Comparison
  409.    wt: 3:   15 Real Number Division
  410.    wt: 3:   14 Real Number Multiplication
  411.    wt: 3:   13 Real Number Subtraction
  412.    wt: 3:   11 Real Number Addition
  413.    wt: 3:   9 Coordinates for Regions in Space
  414.    wt: 3:   2 Integers
  415.    wt: 3:   1 Whole and Natural Numbers
  416.    wt: 3:   5 Independent versus Dependent Variables
  417.    wt: 3:   4 Changing Letters
  418.    wt: 3:   3 GE III Equation Addition and Multiplication
  419.    wt: 3:   4 Solving a triangular system exercise
  420.    wt: 3:   3 Solving triangular system example
  421.    wt: 3:   1 Essentially One Unknown
  422.    wt: 3:   Skill Development Notes
  423.    wt: 3:   10 One Example
  424.    wt: 3:   8 One Example
  425.    wt: 3:   7 Two Examples
  426.    wt: 3:   4 Two Examples
  427.    wt: 3:   3 Two Examples
  428.    wt: 3:   Using Letters for Physical Quantities
  429.    wt: 3:   9 Sets in Probability and Statistics
  430.    wt: 3:   5 Product Builder Notation
  431.    wt: 3:   2 Venn Diagrams
  432.    wt: 3:   6 Three Notions of What is a Variable
  433.    wt: 3:   5 Talking about Numbers and Quantities
  434.    wt: 3:   2 What is a Variable
  435.    wt: 3:   arithmetic videos Real Player Format
  436.    wt: 3:   5 Square Roots with primes more still
  437.    wt: 3:   4 Square Roots with primes more
  438.    wt: 3:   3 Properties of Square Roots with example
  439.    wt: 3:   13 GCD from given Prime Factorization
  440.    wt: 3:   6 GCD from Prime
  441.    wt: 3:   5 Common Divisors 60 45 via Prime
  442.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  443.    wt: 3:   1 Least Common Multiples LCM Introduction
  444.    wt: 3:   11 What are real lengths and numbers
  445.    wt: 3:   7 negative and additive inverse
  446.    wt: 3:   5 lengths and signs of numbers
  447.    wt: 3:   4 signed coordinates for regions in space
  448.    wt: 3:   7 Converting or Changing Units
  449.    wt: 3:   6 Simplification of Fractions with Units
  450.    wt: 3:   4 Fractions with Units
  451.    wt: 3:   18 Efficient Ways to Multiply
  452.    wt: 3:   16 Addition Subtraction Comparision Compared
  453.    wt: 3:   8 Numerals Fractionals Quantals Take II
  454.    wt: 3:   7 Numerals Fractionals Quantals
  455.    wt: 3:   6 Multiplication of Mixed Numbers
  456.    wt: 3:   5 Equivalent Fractions
  457.    wt: 3:   4 Fraction Multiplication
  458.    wt: 3:   3 Unit fraction of a fraction
  459.    wt: 3:   1 What is a fraction Take II
  460.    wt: 3:   1 What is a fraction
  461.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  462.    wt: 3:   13 Subtraction with Additive Inverse
  463.    wt: 3:   10 Integer Multiplication Formulas
  464.    wt: 3:   5 Zero Movement and Additive Inverses
  465.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  466.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  467.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  468.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  469.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  470.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  471.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  472.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  473.    wt: 3:   19 video Prime Factorization Unique
  474.    wt: 3:   18 video Count Factors given Prime Factorization
  475.    wt: 3:   16 video Factors of 980 using prime
  476.    wt: 3:   11 Efficient Square Rule Use
  477.    wt: 3:   9 video Prime Factorization upto 19 squared
  478.    wt: 3:   8 video Prime Factorization upto 19
  479.    wt: 3:   4 video Prime Factorization Introduction
  480.    wt: 3:   11 Place Value SI Standard International way
  481.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  482.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  483.    wt: 3:   Exact Arithmetic Wholes and Fractions
  484.    wt: 3:   Formula Evaluation how to show work
  485.    wt: 3:   The 12 Times Table Visually
  486.    wt: 3:   2 Time and Date Matters in School
  487.    wt: 3:   Example 2 volume of a cone
  488.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  489.    wt: 3:   Example 3
  490.    wt: 3:   Example 2
  491.    wt: 3:   Area Between Curves Lesson Take 2
  492.    wt: 3:   28 Chain Rule Preparation for a Proof
  493.    wt: 3:   20 Chain Rule for Pulley Systems
  494.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  495.    wt: 3:   14 sine and cosine derivatives 2nd step
  496.    wt: 3:   10 Power rule for negative integers
  497.    wt: 3:   6 Power rule from product rule
  498.    wt: 3:   5 Product Rule
  499.    wt: 3:   4 Sum Rule
  500.    wt: 3:   3 Motivation for Limit Definition Take 2
  501.    wt: 3:   2 Motivation for Limit Definition Take 1
  502.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  503.    wt: 3:   11 Limits at infinity Three Examples
  504.    wt: 3:   3 Decimal insights for limits continuity convergence
  505.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  506.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  507.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  508.    wt: 3:   Chapter 12. Units and Slopes
  509.    wt: 3:   Chapter 2. Slopes and Ski Trails
  510.    wt: 3:   Chapter 12 Four Phases
  511.    wt: 3:   Postscript C Consistency as a Tool for Reason
  512.    wt: 3:   Postscript B More on Story Telling and Reason
  513.    wt: 3:   Chapter 23 Truth Tables
  514.    wt: 3:   Chapter 21 Occurrence Tables
  515.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  516.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  517.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  518.    wt: 3:   Chapter 2 Skill Development
  519.    wt: 3:   Three Remarks
  520.    wt: 3:   L Skills with take home value
  521.    wt: 3:   I. Logic and language skills
  522.    wt: 3:   How to Build Skills and Confidence
  523.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  524.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  525.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  526.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  527.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  528.    wt: 2:   Skills Chapter 3 Algebra
  529.    wt: 2:   7 logic review and decimals an odd combination
  530.    wt: 2:   5 logarithms and exponentials etc
  531.    wt: 2:   4 algebra
  532.    wt: 2:   three goals to set for students
  533.    wt: 2:   Applied Maths Program14092009 POMME variant
  534.    wt: 2:   Secondary Three Mathematics
  535.    wt: 2:   talk the algebra talk
  536.    wt: 2:   three difficulties
  537.    wt: 2:   teaching tutoring algebraic reason
  538.    wt: 2:   04 29 New Mathematics Curriculum
  539.    wt: 2:   04 25 when to stop or suspend mathemat
  540.    wt: 2:   standards for course material
  541.    wt: 2:   formal or informal peer review
  542.    wt: 2:   three kinds of reason in mathematics
  543.    wt: 2:   2 Energy Power Heat07
  544.    wt: 2:   C Electromotive force conventional current02
  545.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  546.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  547.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  548.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  549.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  550.    wt: 2:   17 Math Booklets for children and young teenagers
  551.    wt: 2:   5 Patience Please for Yourself and Your Charges
  552.    wt: 2:   4 Learning Takes Time and Effort
  553.    wt: 2:   Ages 10 to 12 Geometry
  554.    wt: 2:   Ages 10 to 12 Arithmetic
  555.    wt: 2:   19 Horizontal line rule and method
  556.    wt: 2:   18 Vertical Line Rule and Method
  557.    wt: 2:   17 Function maxima minima and their location
  558.    wt: 2:   11 Function Domain Range Source and Targets
  559.    wt: 2:   8 Set view of relations and functions
  560.    wt: 2:   4 Function notation in and beyond mathematics
  561.    wt: 2:   3 Formula or function graphing exercise
  562.    wt: 2:   9 quadratics physical and further context
  563.    wt: 2:   8 quadratics backward use of various formulas
  564.    wt: 2:   7 quadratic formulla derivation
  565.    wt: 2:   2 quadratics graphing in general
  566.    wt: 2:   8 Notes for instructors or tutors
  567.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  568.    wt: 2:   2 Column Multiplication Method
  569.    wt: 2:   Rewriting algebraic substitution as function substitutions
  570.    wt: 2:   16 cotangent function Definition Graph and Inverse
  571.    wt: 2:   15 cosecant function Definition Graph and Inverse
  572.    wt: 2:   14 secant function Definition Graph and Inverse
  573.    wt: 2:   13 cosecant function Definition Graph and Inverse
  574.    wt: 2:   2 Radian Measure Numerical Value of one degree
  575.    wt: 2:   1 Degrees and Radians Introduction
  576.    wt: 2:   15 Dot and Cross Product
  577.    wt: 2:   12 From Applied To Pure Mathematics
  578.    wt: 2:   2 Signed Coordinates
  579.    wt: 2:   Parallel Lines and Parallel Transversals
  580.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  581.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  582.    wt: 2:   Straight Lines ASA Intersection Study More
  583.    wt: 2:   14 Straight Lines Equations General Case
  584.    wt: 2:   10 Straight Lines through Origin Equations More
  585.    wt: 2:   9 Straight Lines through Origin Equations
  586.    wt: 2:   1 Straight Lines Slope Concept
  587.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  588.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  589.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  590.    wt: 2:   17C sine and cosine double triple angle formulas
  591.    wt: 2:   14 cosine even and sine and tangent are odd
  592.    wt: 2:   12 Graph of tangent function for one period
  593.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  594.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  595.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  596.    wt: 2:   20 N th Roots of Complex Numbers
  597.    wt: 2:   11 sine and cosine double triple angle formulas
  598.    wt: 2:   2 Complex Numbers made easier we hope
  599.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  600.    wt: 2:   3 Trigonometric Ratios sine and cosine
  601.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  602.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  603.    wt: 2:   12 Triangles Similarity More Problems
  604.    wt: 2:   2 Similarity By Design
  605.    wt: 2:   10 Midpoint of [a b] and [b a]
  606.    wt: 2:   8 Mid Point Formula
  607.    wt: 2:   7 Exercises to test skill and concept mastery
  608.    wt: 2:   5 Algebraic View of Slopes
  609.    wt: 2:   1 Numerical view of lines and their equations
  610.    wt: 2:   What is and is not here
  611.    wt: 2:   13 Pythagorean spatial distance formulas
  612.    wt: 2:   10 Pythagorean plane distance formula
  613.    wt: 2:   6 Polar Multiplication and Rotation
  614.    wt: 2:   5 Cartesian Addition and Translation
  615.    wt: 2:   4 Polar Coordinates to and from
  616.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  617.    wt: 2:   19 Right Triangle Similarity
  618.    wt: 2:   18 Triangle Similarity Take 1
  619.    wt: 2:   17 Right Bisectors of Triangle Sides
  620.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  621.    wt: 2:   14 Parallel Lines Postulate
  622.    wt: 2:   13 Angle Side Angle Failure
  623.    wt: 2:   11 Triangle Construction Fails
  624.    wt: 2:   10 Dropping a perpendicular to line
  625.    wt: 2:   9 Construction of a right bisector
  626.    wt: 2:   8 Isoceles Triangles
  627.    wt: 2:   7 Angle Side Angle
  628.    wt: 2:   5 Side Angle Side
  629.    wt: 2:   4 Side Side Side
  630.    wt: 2:   3 Isometry of Triangles Congruence
  631.    wt: 2:   Short Course on Euclidean Geometry
  632.    wt: 2:   3 Lengths and Areas on Maps and Plans
  633.    wt: 2:   musings do not puiblish real numbers
  634.    wt: 2:   A Signed Number Arithmetic Review
  635.    wt: 2:   9 Division with Digits after Decimal Point
  636.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  637.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  638.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  639.    wt: 2:   4 Location of Point in Decimal Addition
  640.    wt: 2:   3 Location of Point in Decimal Multiplication
  641.    wt: 2:   1 Fractions with Finite Decimal Expansions
  642.    wt: 2:   7 Real Numbers as Line Cordinates
  643.    wt: 2:   6 Unsigned Real Numbers
  644.    wt: 2:   5 Rational Numbers More
  645.    wt: 2:   4 Rational Numbers
  646.    wt: 2:   3 Fractions
  647.    wt: 2:   More Exercises
  648.    wt: 2:   Simple Exercises
  649.    wt: 2:   4 GE III Animated Examples
  650.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  651.    wt: 2:   1 GE Substitution four examples
  652.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  653.    wt: 2:   8 Sets of Numbers
  654.    wt: 2:   7 Cautious or Safe Set Construction
  655.    wt: 2:   6 Power Set Notation
  656.    wt: 2:   4 Subset Builder Notation
  657.    wt: 2:   3 Counting with Sets etc
  658.    wt: 2:   1 Finite Sets
  659.    wt: 2:   3 Adding Words To Arithmetic
  660.    wt: 2:   About Folder Contents
  661.    wt: 2:   10 dividing signed numbers
  662.    wt: 2:   9 subtracting signed numbers
  663.    wt: 2:   8 multiplying signed numbers
  664.    wt: 2:   6 adding signed numbers
  665.    wt: 2:   D Remainders Modulo 11 Pair Rule
  666.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  667.    wt: 2:   B Integer Long Division Multiple Choices
  668.    wt: 2:   A Associative Law Theorectical Note
  669.    wt: 2:   9 Multiplying Integers
  670.    wt: 2:   8 Multiplication by Signed Numbers Integers
  671.    wt: 2:   7 Multiplication by Signs
  672.    wt: 2:   6 Multiplication by Natural Numbers
  673.    wt: 2:   4 Adding Movements wiht opposite directions
  674.    wt: 2:   3 Adding Movements with same direction
  675.    wt: 2:   1 Integers as Coordinates
  676.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  677.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  678.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  679.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  680.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  681.    wt: 2:   Expression Evaluation how to show work
  682.    wt: 2:   About folder contents
  683.    wt: 2:   015 School and work day counting tables
  684.    wt: 2:   012 Division of Time Intervals by Time Intervals
  685.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  686.    wt: 2:   4 Mixing and Changing Units of Time
  687.    wt: 2:   3 Units and Lengths of Time
  688.    wt: 2:   1 Intro of Kids To Time Date Skills
  689.    wt: 2:   Example 1 volume of a pyramid
  690.    wt: 2:   Volume of Solid by Cross Sections Lesson
  691.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  692.    wt: 2:   Example 4 with x function of y
  693.    wt: 2:   Example 1
  694.    wt: 2:   Area Between Curves Lesson Take 1
  695.    wt: 2:   Summary
  696.    wt: 2:   A Chain Rule Real Player video examples
  697.    wt: 2:   30Chain Rule A Proof
  698.    wt: 2:   29 Chain Rule Optional Reading
  699.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  700.    wt: 2:   26 Chain Rule Recognising outer inner functions
  701.    wt: 2:   25 Chain Rule Animated Examples Continued
  702.    wt: 2:   24 Chain Rule Animated Examples
  703.    wt: 2:   23 Chain Rule in general
  704.    wt: 2:   19 Chain Rule for linear functions
  705.    wt: 2:   17 Derivatives of quotients of sine and cosine
  706.    wt: 2:   15 sine and cosine derivatives 3rd step
  707.    wt: 2:   13 sine and cosine derivatives 1st step
  708.    wt: 2:   12 Quotient rule examples
  709.    wt: 2:   11 Quotient rule
  710.    wt: 2:   9 Reciprocal rule
  711.    wt: 2:   8 Differentiation of polynomials
  712.    wt: 2:   7 Animated Differentiation Examples
  713.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  714.    wt: 2:   10 Three one sided limits with infinite values
  715.    wt: 2:   9 Limits Continuity and Composition
  716.    wt: 2:   5 Jumps and absence of unlimited error control
  717.    wt: 2:   E2 Algebraic Properties of Limits
  718.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  719.    wt: 2:   PostScript For and Against Decimal Perspectives
  720.    wt: 2:   Chapter 23 Links To Trigonometry
  721.    wt: 2:   Chapter 21 Arrow Addition
  722.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  723.    wt: 2:   Postscript A Three Remarks
  724.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  725.    wt: 2:   Chapter 3 Algebra Difficulties
  726.    wt: 2:   Foreword
  727.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  728.    wt: 2:   Postscript A Story Telling
  729.    wt: 2:   Chapter 18 Sense and Knowledge
  730.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  731.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  732.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  733.    wt: 2:   Foreword
  734.    wt: 2:   S Adding words to algebra
  735.    wt: 2:   R Why Learn Mathematics Skills
  736.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  737.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  738.    wt: 2:   O On Learning Mathematics and Science
  739.    wt: 2:   N Mathematics Prepare for College Studies
  740.    wt: 2:   N Improving Marks on Tests and Finals
  741.    wt: 2:   J. More on written work and showing skill
  742.    wt: 2:   H Jigsaw puzzles and problem solving
  743.    wt: 2:   E. When and how to correct errors
  744.    wt: 2:   B. Domino effect of errors
  745.    wt: 2:   Chapter 6 More Algebra and Geometry
  746.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  747.    wt: 2:   Chapter 2 Why Sets
  748.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  749.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  750.    wt: 2:   More Algebra and Slope based Calculus Preview
  751.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  752.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  753.    wt: 2:   The Math Forum and Site Content
  754.    wt: 1:   Appendix 2 primary school Arithmetic 01
  755.    wt: 1:   Appendix 1 primary and preschool mathematic
  756.    wt: 1:   G LAMP Introduction Problem Solving Skills
  757.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  758.    wt: 1:   Skills Chapter 5 Calculus
  759.    wt: 1:   Skills Chapter 4 Logic
  760.    wt: 1:   Ramblings Introduction Algebra Essay
  761.    wt: 1:   Skills Chapter 1 Arithmetic
  762.    wt: 1:   Skills Chapter 0 Introduction
  763.    wt: 1:   11 pure mathematics
  764.    wt: 1:   10 statistics
  765.    wt: 1:   9 combinatorics probability sets
  766.    wt: 1:   8 analytic geometry etc
  767.    wt: 1:   6 polynomials etc
  768.    wt: 1:   3 Euclidean Geometry Leanly
  769.    wt: 1:   1 arithmetic with unsigned numbers
  770.    wt: 1:   What is POMME
  771.    wt: 1:   why bother
  772.    wt: 1:   permissions for teachers
  773.    wt: 1:   activities for students
  774.    wt: 1:   About site lesson plans
  775.    wt: 1:   key notes and themes
  776.    wt: 1:   learning takes time
  777.    wt: 1:   grouping students according to ability
  778.    wt: 1:   what should be learnt and When
  779.    wt: 1:   Postscript 2007 01 10
  780.    wt: 1:   Education Reform Inconsistencies
  781.    wt: 1:   Maps Plans Drawings
  782.    wt: 1:   how letters appear
  783.    wt: 1:   Secondary Two Mathematics
  784.    wt: 1:   Secondary One Mathematics
  785.    wt: 1:   teaching tips
  786.    wt: 1:   What to Tell Students
  787.    wt: 1:   mathematics curriculum shifts
  788.    wt: 1:   05 13 OldSiteEntrancePage
  789.    wt: 1:   Education in mathematics science and technology
  790.    wt: 1:   Four ways to improve education reform
  791.    wt: 1:   Motivation and Context Problem
  792.    wt: 1:   need for a mixed mathematics curriculum
  793.    wt: 1:   education an empirical art
  794.    wt: 1:   words for mathematics instructor
  795.    wt: 1:   chapitre 12 00 les iles et division
  796.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  797.    wt: 1:   chapitre 04 02 Deuxieme enigme
  798.    wt: 1:   chapitre 02 00 La Communication des idees
  799.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  800.    wt: 1:   4 Energy Power Heat09
  801.    wt: 1:   3 Energy Power Heat08
  802.    wt: 1:   1 Energy Power Heat06
  803.    wt: 1:   E Energy Power05
  804.    wt: 1:   D Energy Power04
  805.    wt: 1:   C Energy Power03
  806.    wt: 1:   A Energy Power01
  807.    wt: 1:   D Wire Resistance Calculation02
  808.    wt: 1:   B Wire Resistance Qualitative02
  809.    wt: 1:   3 Like resistors in parallel
  810.    wt: 1:   2 Unlike resistors in parallel01
  811.    wt: 1:   H Series Circuit02
  812.    wt: 1:   B Electromotive force conventional current01
  813.    wt: 1:   Home Tutoring and Home Schooling
  814.    wt: 1:   15 Counting For Parents
  815.    wt: 1:   14 Multiplication and Times Tables
  816.    wt: 1:   13 Addition and Addition Tables
  817.    wt: 1:   11 Help and Defend Your Child or Teens Education
  818.    wt: 1:   10 Ends values for work study instruction
  819.    wt: 1:   3 Preparing for Science Studies
  820.    wt: 1:   1 Speaking Skills
  821.    wt: 1:   Ages 9 to 10
  822.    wt: 1:   Ages 8 to 9
  823.    wt: 1:   Ages 7 to 8
  824.    wt: 1:   Ages 6 to 7
  825.    wt: 1:   Ages 4 plus to 5 plus
  826.    wt: 1:   Ages 3 plus to 4 plus
  827.    wt: 1:   sign monoticity analysis example 4
  828.    wt: 1:   sign monoticity analysis example 3
  829.    wt: 1:   sign monoticity analysis example 1
  830.    wt: 1:   16 Increasing or decreasing on intervals
  831.    wt: 1:   15 Sign analysis of functions
  832.    wt: 1:   14 Surjections Injections Bijections
  833.    wt: 1:   13 From one to one to many to one
  834.    wt: 1:   10 Interval Notation
  835.    wt: 1:   9 Set theory term relation possible origins
  836.    wt: 1:   7 Functions with finite domains
  837.    wt: 1:   1 Geometric Introduction of Function Notation
  838.    wt: 1:   Introduction Reading Guide
  839.    wt: 1:   A Quadratics Summary
  840.    wt: 1:   10 quadratic exercises
  841.    wt: 1:   6 quadratics numerical approach
  842.    wt: 1:   5 quadratics completing the square
  843.    wt: 1:   4 quadratics difference of two squares
  844.    wt: 1:   3 quadratics factoring by inspection
  845.    wt: 1:   1 quadratics graphing exercises
  846.    wt: 1:   Quadratics in 10 steps
  847.    wt: 1:   7 Links Lessons Elsewhere
  848.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  849.    wt: 1:   4 Polynomials Long division linear divisor
  850.    wt: 1:   3 Polynomials Multiplication Addition
  851.    wt: 1:   1 Polynomials Distributive Law
  852.    wt: 1:   11 arctan left inverse of tangent Graph
  853.    wt: 1:   10 arctan left inverse of tangent Definition
  854.    wt: 1:   9 motivation for name arcsin
  855.    wt: 1:   4 possible motivation for term arccos
  856.    wt: 1:   2 cosine function more properties
  857.    wt: 1:   8 Radian Measures of Common Angles
  858.    wt: 1:   7 Radian Measures in special Triangles
  859.    wt: 1:   6 Radian Measure to Degrees
  860.    wt: 1:   5 Degrees to Radian Measure
  861.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  862.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  863.    wt: 1:   A Global Time and Navigation
  864.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  865.    wt: 1:   Vector and Complex Number Applet
  866.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  867.    wt: 1:   Triangle Angles Sum To 180 Degrees
  868.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  869.    wt: 1:   Straight Lines ASA Intersection Study
  870.    wt: 1:   Straight Lines Instersection Solving Equations
  871.    wt: 1:   Straight Lines Intersection of
  872.    wt: 1:   17 tangent function angle sum formulas
  873.    wt: 1:   32 seven rows of pascals triangle
  874.    wt: 1:   30 unit circle calculation of six trigonometric functions
  875.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  876.    wt: 1:   10 Graphs of sines and cosines many periods
  877.    wt: 1:   9 Graphs of sine and cosine over one period
  878.    wt: 1:   7 period of sine and cosine
  879.    wt: 1:   2 Quadrant I reference Angles
  880.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  881.    wt: 1:   16 References and Originality Question
  882.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  883.    wt: 1:   7 Second Way to Calculate Products
  884.    wt: 1:   8 Triangles Cascade Problem Solving
  885.    wt: 1:   7 Trignometric Ratios Unit Circle
  886.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  887.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  888.    wt: 1:   8 Similarity of Triangles and Polygons
  889.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  890.    wt: 1:   4 Similarity Definition with Coordinate
  891.    wt: 1:   Four Simple Exercises
  892.    wt: 1:   11 A Partial Summary
  893.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  894.    wt: 1:   6 Intersection of lines by solving linear systems
  895.    wt: 1:   11 Triangle Inequality
  896.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  897.    wt: 1:   8 Distance Between Points on a Line
  898.    wt: 1:   7 Complex Numbers Appetizer
  899.    wt: 1:   3 Rectangular Coordinates Review
  900.    wt: 1:   1 Cartesian Coordinates sans signs
  901.    wt: 1:   2 Measuring Area Directly
  902.    wt: 1:   016 Numbering Occidental Calendar Days
  903.    wt: 1:   014 Counting Days with Calendars
  904.    wt: 1:   013 Travel Time Tables
  905.    wt: 1:   011 Division of Time Intervals By Numbers
  906.    wt: 1:   010 Repeated Addition of Time Intervals
  907.    wt: 1:   8 Addition of Time Intervals via subtotaling
  908.    wt: 1:   7 Addition of Time Intervals
  909.    wt: 1:   6 How long is a million seconds
  910.    wt: 1:   5 Conversion Arithmetic
  911.    wt: 1:   2 Indefinite Integrals Exercises
  912.    wt: 1:   1 Chain Rule in Reverse Integration Method
  913.    wt: 1:   2 Second derivative test prequel
  914.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  915.    wt: 1:   36 Cube root derivative animated
  916.    wt: 1:   34 Derivative of exponential function
  917.    wt: 1:   33 Chain Rule Real Player video examples
  918.    wt: 1:   31 Derivatives of inverse functions
  919.    wt: 1:   18 Chain Rule Introduction
  920.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  921.    wt: 1:   8 Four Animated Examples
  922.    wt: 1:   7 Evaluation by immediate or delayed substitution
  923.    wt: 1:   6 Continuity at a point
  924.    wt: 1:   4 Numerical properties
  925.    wt: 1:   1 Numerical introduction
  926.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  927.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  928.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  929.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  930.    wt: 1:   F.4 Finite Covering Theorem
  931.    wt: 1:   F.2 Closed Range Theorem
  932.    wt: 1:   D2 Limits of Monotone Sequences
  933.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  934.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  935.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  936.    wt: 1:   Chapter 10 Slopes and Units
  937.    wt: 1:   Chapter 7 Slopes and Velocity
  938.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  939.    wt: 1:   Fall 1983 Calculus Appetizer
  940.    wt: 1:   Foreword
  941.    wt: 1:   Annotated Links to Material Elsehwere
  942.    wt: 1:   Postscript B Mathematics Education References
  943.    wt: 1:   Chapter 11 Elementary Instruction
  944.    wt: 1:   Chapter 10 Transition
  945.    wt: 1:   Chapter 9 The Two Ends
  946.    wt: 1:   Chapter 8 Modern Instruction
  947.    wt: 1:   Chapter 7 Two Treatments of Geometry
  948.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  949.    wt: 1:   Chapter 5 Four References
  950.    wt: 1:   Chapter 1 Introduction
  951.    wt: 1:   Chapter 15 Objective Processes
  952.    wt: 1:   Chapter 11 Accidental Patterns
  953.    wt: 1:   Chapter 10 Responsibility
  954.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  955.    wt: 1:   Chapter 8 Change of Language
  956.    wt: 1:   Chapter 7 Longer Chains of Reason
  957.    wt: 1:   Chapter 6 Chains of Reason
  958.    wt: 1:   Chapter 5 Deception
  959.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  960.    wt: 1:   Chapter 1 Introduction
  961.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  962.    wt: 1:   M Words to extend arithmetic
  963.    wt: 1:   H more Routine to non routine problem solving
  964.    wt: 1:   F. The student teacher tutor feedback loop
  965.    wt: 1:   D. Check work a must with a caution
  966.    wt: 1:   C. Domino effect of being careful
  967.    wt: 1:   A. Skill has to be seen to believed
  968.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  969.    wt: 1:   Chapter 8 Skipped Topics and Why
  970.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  971.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  972.    wt: 1:   Chapter 3 Algebra Starter Lessons
  973.    wt: 1:   Helping the Blind in Logic and Mathematics
  974.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  975.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  976.    wt: 1:   Systematic Algebra Skill Development Missing Links
  977.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  978.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  979.    wt: 11:   Chapter 22. Geometric Sums and Sequences
  980.    wt: 10:   Chapter 8 Three Skills For Algebra
  981.    wt: 10:   Chapter 2 Implication Rules Forwards and Backwards

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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