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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54 matches:

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

Web Page Search

467 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 3:   geometric implications for algebra
  5.    wt: 3:   02 21 words for teachers
  6.    wt: 3:   13 From one to one to many to one
  7.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  8.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  9.    wt: 3:   26 Formulas for products of sines and cosines
  10.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  11.    wt: 3:   12 Graph of tangent function for one period
  12.    wt: 3:   12 cis formulas for sine cosines and tangent
  13.    wt: 3:   4 Equations for lines three forms
  14.    wt: 3:   2 Essentially one exercises three with solution
  15.    wt: 3:   12 GCD 2700 288 via Prime
  16.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  17.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  18.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  19.    wt: 3:   22 Chain Rule for polynomials
  20.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  21.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  22.    wt: 2:   Skills Chapter 3 Algebra
  23.    wt: 2:   Skills Chapter 2 Geometry
  24.    wt: 2:   three goals to set for students
  25.    wt: 2:   three goals for Mathematics Education
  26.    wt: 2:   02 20 mathematics education references
  27.    wt: 2:   three aims for mathematics students
  28.    wt: 2:   formal or informal peer review
  29.    wt: 2:   Four ways to improve education reform
  30.    wt: 2:   Prequel In For A Penny In For A Pound
  31.    wt: 2:   2 Conductance Resistance Duality02
  32.    wt: 2:   C Electromotive force conventional current02
  33.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  34.    wt: 2:   24 Standards For Skill Develoment Take II
  35.    wt: 2:   24 Standards For Skill Develoment
  36.    wt: 2:   22 Student Centered Highschool Mathematics
  37.    wt: 2:   12 Goals and Objectives For Mathematics
  38.    wt: 2:   2 Reading and Writing Skills
  39.    wt: 2:   Ages 12 to 14 Skills with take home value
  40.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  41.    wt: 2:   26 Function definitions done and coming
  42.    wt: 2:   22 Square Root function graphically
  43.    wt: 2:   5 Function notation for geometric transformations
  44.    wt: 2:   2 Algebraic use of function notation
  45.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  46.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  47.    wt: 2:   12 motivation for term arctan
  48.    wt: 2:   2 Radian Measure Numerical Value of one degree
  49.    wt: 2:   29 secant cosecant and cotangent for acute angles
  50.    wt: 2:   25 tangent double angle formula Slope connection
  51.    wt: 2:   24 tangent Angle Difference Formula
  52.    wt: 2:   21 sine and cosine Half Angle Formulas
  53.    wt: 2:   20 sine and cosine Double Angle Formulas
  54.    wt: 2:   17E Trig Formulas for dot and cross Products
  55.    wt: 2:   17D cis formulas for sine cosines and tangent
  56.    wt: 2:   21 Logarithms Powers and Exponentials
  57.    wt: 2:   13 Trig Formulas for dot and cross Products
  58.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  59.    wt: 2:   2 point slope equation for a line
  60.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  61.    wt: 2:   23 Distributive Law Two Derivations
  62.    wt: 2:   22 Multiplication of Signed Numbers
  63.    wt: 2:   2 Combing Counts Addition Skills and Principles
  64.    wt: 2:   2 Algebraic View
  65.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  66.    wt: 2:   3 Product Axioms Two Forms
  67.    wt: 2:   2 More and Less Than for Counts and Measures
  68.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  69.    wt: 2:   2 Three Examples
  70.    wt: 2:   2 Three Examples
  71.    wt: 2:   Formula Usage Show Work Format
  72.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  73.    wt: 2:   2 Another Rectangle Area Formula Example
  74.    wt: 2:   1 Written work formats for developing and showing skill
  75.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  76.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  77.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  78.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  79.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  80.    wt: 2:   22 Complex Compound Fractions
  81.    wt: 2:   21 Reciprocals for Fractions and Wholes
  82.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  83.    wt: 2:   26 Divisibility by 2 3 5 Example
  84.    wt: 2:   23 Remainder Arithmetic Modulo 2
  85.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  86.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  87.    wt: 2:   Long Division forwards and backwards Example 2
  88.    wt: 2:   4 Two and Three Digit Multipliers
  89.    wt: 2:   2 One Digit Multipliers
  90.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  91.    wt: 2:   9 22 Minute Subtraction Review Video
  92.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  93.    wt: 2:   Example 2 volume of a cone
  94.    wt: 2:   38 Formulas and derivatives for powers and roots
  95.    wt: 2:   28 Chain Rule Preparation for a Proof
  96.    wt: 2:   21 Chain Rule for powers
  97.    wt: 2:   20 Chain Rule for Pulley Systems
  98.    wt: 2:   3 Motivation for Limit Definition Take 2
  99.    wt: 2:   2 Motivation for Limit Definition Take 1
  100.    wt: 2:   10 Three one sided limits with infinite values
  101.    wt: 2:   2 Algebraic codification
  102.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  103.    wt: 2:   E2 Algebraic Properties of Limits
  104.    wt: 2:   D2 Limits of Monotone Sequences
  105.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  106.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  107.    wt: 2:   Chapter 22 Complex Numbers
  108.    wt: 2:   Postscript For Better Performance
  109.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  110.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  111.    wt: 2:   Chapter 23. Notation For Sums
  112.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  113.    wt: 2:   Chapter 18. Rules for Algebra
  114.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  115.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  116.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  117.    wt: 2:   Chapter 2 For and Against Mathematics
  118.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  119.    wt: 2:   G. Written work formats for developing and showing skill
  120.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  121.    wt: 1:   Appendix 2 primary school Arithmetic 01
  122.    wt: 1:   G LAMP Introduction Problem Solving Skills
  123.    wt: 1:   Skills Chapter 5 Calculus
  124.    wt: 1:   Skills Chapter 4 Logic
  125.    wt: 1:   Ramblings Introduction Algebra Essay
  126.    wt: 1:   Skills Chapter 1 Arithmetic
  127.    wt: 1:   Skills Chapter 0 Introduction
  128.    wt: 1:   5 logarithms and exponentials etc
  129.    wt: 1:   4 algebra
  130.    wt: 1:   2 arithmetic with signed numbers
  131.    wt: 1:   which way to go
  132.    wt: 1:   permissions for teachers
  133.    wt: 1:   Applied Maths Program14092009 POMME variant
  134.    wt: 1:   activities for students
  135.    wt: 1:   Postscript 2007 01 10
  136.    wt: 1:   Education Reform Inconsistencies
  137.    wt: 1:   Secondary Three Mathematics
  138.    wt: 1:   Secondary Two Mathematics
  139.    wt: 1:   Secondary One Mathematics
  140.    wt: 1:   talk the algebra talk
  141.    wt: 1:   three difficulties
  142.    wt: 1:   teaching tutoring algebraic reason
  143.    wt: 1:   Lessening Algebra Difficulties
  144.    wt: 1:   the trouble with algebra
  145.    wt: 1:   04 29 New Mathematics Curriculum
  146.    wt: 1:   04 25 when to stop or suspend mathemat
  147.    wt: 1:   standards for course material
  148.    wt: 1:   three kinds of reason in mathematics
  149.    wt: 1:   need for a mixed mathematics curriculum
  150.    wt: 1:   fairness and inductive principles for instruction
  151.    wt: 1:   words for mathematics instructor
  152.    wt: 1:   chapitre 12 00 les iles et division
  153.    wt: 1:   chapitre 04 05 Implication versus suggestion
  154.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  155.    wt: 1:   chapitre 04 02 Deuxieme enigme
  156.    wt: 1:   chapitre 02 00 La Communication des idees
  157.    wt: 1:   2 Energy Power Heat07
  158.    wt: 1:   B Energy Power02
  159.    wt: 1:   D Wire Resistance Calculation02
  160.    wt: 1:   B Wire Resistance Qualitative02
  161.    wt: 1:   2 Unlike resistors in parallel01
  162.    wt: 1:   H Series Circuit02
  163.    wt: 1:   B Electromotive force conventional current01
  164.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  165.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  166.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  167.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  168.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  169.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  170.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  171.    wt: 1:   17 Math Booklets for children and young teenagers
  172.    wt: 1:   15 Counting For Parents
  173.    wt: 1:   10 Ends values for work study instruction
  174.    wt: 1:   5 Patience Please for Yourself and Your Charges
  175.    wt: 1:   4 Learning Takes Time and Effort
  176.    wt: 1:   3 Preparing for Science Studies
  177.    wt: 1:   1 Speaking Skills
  178.    wt: 1:   Ages 12 to 14 Geometry
  179.    wt: 1:   Ages 12 to 14 Arithmetic
  180.    wt: 1:   Ages 10 to 12 Geometry
  181.    wt: 1:   Ages 10 to 12 Arithmetic
  182.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  183.    wt: 1:   sign monoticity analysis example 2
  184.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  185.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  186.    wt: 1:   23 Inverse Functions
  187.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  188.    wt: 1:   20 Interchanging coordinates a reflection
  189.    wt: 1:   12 Function Domain Recognition Exercises
  190.    wt: 1:   6 Set Existence Formation and Notation
  191.    wt: 1:   3 Formula or function graphing exercise
  192.    wt: 1:   8 quadratics backward use of various formulas
  193.    wt: 1:   7 quadratic formulla derivation
  194.    wt: 1:   4 quadratics difference of two squares
  195.    wt: 1:   2 quadratics graphing in general
  196.    wt: 1:   10 Exponential Growth and Decay Models
  197.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  198.    wt: 1:   2 Square Root Simplification a prequel
  199.    wt: 1:   8 Notes for instructors or tutors
  200.    wt: 1:   2 Column Multiplication Method
  201.    wt: 1:   Rewriting algebraic substitution as function substitutions
  202.    wt: 1:   9 motivation for name arcsin
  203.    wt: 1:   4 possible motivation for term arccos
  204.    wt: 1:   2 cosine function more properties
  205.    wt: 1:   12 From Applied To Pure Mathematics
  206.    wt: 1:   11 Component Method
  207.    wt: 1:   2 Signed Coordinates
  208.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  209.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  210.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  211.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  212.    wt: 1:   12 Straight Lines Graphing mx plus b
  213.    wt: 1:   8 Straight Lines Equation for vertical
  214.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  215.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  216.    wt: 1:   17 tangent function angle sum formulas
  217.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  218.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  219.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  220.    wt: 1:   32 seven rows of pascals triangle
  221.    wt: 1:   28 Expressing products of sines cosines as sums
  222.    wt: 1:   27 Logarithmic use of products of sines and cosines
  223.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  224.    wt: 1:   17C sine and cosine double triple angle formulas
  225.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  226.    wt: 1:   9 Graphs of sine and cosine over one period
  227.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  228.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  229.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  230.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  231.    wt: 1:   2 Quadrant I reference Angles
  232.    wt: 1:   20 N th Roots of Complex Numbers
  233.    wt: 1:   11 sine and cosine double triple angle formulas
  234.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  235.    wt: 1:   7 Second Way to Calculate Products
  236.    wt: 1:   2 Complex Numbers made easier we hope
  237.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  238.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  239.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  240.    wt: 1:   12 Triangles Similarity More Problems
  241.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  242.    wt: 1:   2 Similarity By Design
  243.    wt: 1:   12 Links Lessons elsewhere
  244.    wt: 1:   8 Mid Point Formula
  245.    wt: 1:   5 Algebraic View of Slopes
  246.    wt: 1:   3 Slope product for perpendicular lines
  247.    wt: 1:   13 Pythagorean spatial distance formulas
  248.    wt: 1:   12 Spatial Coordinates
  249.    wt: 1:   10 Pythagorean plane distance formula
  250.    wt: 1:   2 Cartesian Coordinates with signs
  251.    wt: 1:   PS H Distributive Law For Complex Numbers
  252.    wt: 1:   21 Parallelograms
  253.    wt: 1:   12 Side Angle Side Failure
  254.    wt: 1:   2 Correspondence between Triangles
  255.    wt: 1:   2 Measuring Area Directly
  256.    wt: 1:   26 More Less Greater Than Comparison
  257.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  258.    wt: 1:   21 Addition of Multiples of a Single Vector
  259.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  260.    wt: 1:   12 Real Numbers Line Signed Coordinates
  261.    wt: 1:   2 Counting Digits in Decimal Multiplication
  262.    wt: 1:   C Three Decimal Subtraction Methods
  263.    wt: 1:   6 Column Methods for Decimal Multiplication
  264.    wt: 1:   5 Distributive Law for Whole Numbers
  265.    wt: 1:   4 Commutative Law Groups Counting Form
  266.    wt: 1:   3 Multiplicative Counting Skills Principles
  267.    wt: 1:   3 Inequalities Algebraically
  268.    wt: 1:   2 Fraction Operations Physical Development
  269.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  270.    wt: 1:   6 Compound Interest Forward and Backwards
  271.    wt: 1:   5 Triangle Area Formula Backwards
  272.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  273.    wt: 1:   2 Linear Equation Literal Solution
  274.    wt: 1:   5 Equality in Algebra
  275.    wt: 1:   2 Addition and Multiplication Axioms
  276.    wt: 1:   12 Real Number Additive Inverses or Negatives
  277.    wt: 1:   9 Coordinates for Regions in Space
  278.    wt: 1:   8 Coordinates for Maps and Planes
  279.    wt: 1:   2 Integers
  280.    wt: 1:   5 Independent versus Dependent Variables
  281.    wt: 1:   3 Geometric Formulas and Function Notation
  282.    wt: 1:   2 Computation Rules Evaluation
  283.    wt: 1:   1 Formulas Dependence and Function Notation
  284.    wt: 1:   2 GE II Comparison
  285.    wt: 1:   1 Essentially One Unknown
  286.    wt: 1:   6 Algebraic Solution Example
  287.    wt: 1:   5 Algebraic Solutions Introduction
  288.    wt: 1:   10 One Example
  289.    wt: 1:   9 Three Examples
  290.    wt: 1:   8 One Example
  291.    wt: 1:   7 Two Examples
  292.    wt: 1:   6 Three Examples
  293.    wt: 1:   5 Three Examples
  294.    wt: 1:   4 Two Examples
  295.    wt: 1:   3 Two Examples
  296.    wt: 1:   Using Letters for Physical Quantities
  297.    wt: 1:   13 Naming Identifying Formulas with Words
  298.    wt: 1:   9 Volume of Cone
  299.    wt: 1:   8 Compound Interest Formula Evaluation
  300.    wt: 1:   7 Compound Interest Formula Introduction
  301.    wt: 1:   5 Box Volume Formula Example
  302.    wt: 1:   4 Circle Area Formula Example
  303.    wt: 1:   3 Triangle Area Formula Example
  304.    wt: 1:   2 Venn Diagrams
  305.    wt: 1:   6 Three Notions of What is a Variable
  306.    wt: 1:   4 A Brief Story of numbers and algebra
  307.    wt: 1:   2 What is a Variable
  308.    wt: 1:   arithmetic videos Real Player Format
  309.    wt: 1:   2 More and Less Than with Unlike Signs
  310.    wt: 1:   1 More and Less Than for Counts and Measures
  311.    wt: 1:   2 Square Roots with Prime
  312.    wt: 1:   2 Least Common Multiple LCM intro via list method
  313.    wt: 1:   2 Counting with Tables and Trees I
  314.    wt: 1:   4 signed coordinates for regions in space
  315.    wt: 1:   3 signed coordinates for maps and planes
  316.    wt: 1:   2 signed and unsigned numbers as coordinates
  317.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  318.    wt: 1:   2 Equality and Units
  319.    wt: 1:   D Three Term Ratios
  320.    wt: 1:   B Fractions and Two Term Ratios
  321.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  322.    wt: 1:   21 Working With Signs
  323.    wt: 1:   20 Dividing Fractions the Why
  324.    wt: 1:   18 Efficient Ways to Multiply
  325.    wt: 1:   17 Efficient Ways to Add and Subtract
  326.    wt: 1:   13 Fraction Comparison Algebraic View
  327.    wt: 1:   12 Fraction Comparison
  328.    wt: 1:   11 Simplification an Algebraic View
  329.    wt: 1:   6 Multiplication Algebraically Take II
  330.    wt: 1:   2 Unit Fraction Multiplication
  331.    wt: 1:   12 Adding Integers More Examples
  332.    wt: 1:   11 Adding Integers Formulas and Examples
  333.    wt: 1:   10 Integer Multiplication Formulas
  334.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  335.    wt: 1:   21 Remainder Arithmetic Modulo 3
  336.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  337.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  338.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  339.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  340.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  341.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  342.    wt: 1:   20 Uniqueness of Prime Factorization
  343.    wt: 1:   15 video Factors of 20 using Prime Factorization
  344.    wt: 1:   14 video Factors of 24 Take II
  345.    wt: 1:   13 video Factors of 24 using prime
  346.    wt: 1:   12 LCD GCD and LCM using Primes
  347.    wt: 1:   10 video Prime Factorization upto 23 squared
  348.    wt: 1:   2 Prime and Composites less than 16
  349.    wt: 1:   Long Division forwards and backwards Example 3
  350.    wt: 1:   Long Division forwards and backwards Example 1
  351.    wt: 1:   12 Why Long Division Works Take III
  352.    wt: 1:   10 Division by Five Long and Short Ways
  353.    wt: 1:   4 Division with 2 Digit Divsors
  354.    wt: 1:   2 Division with Single Digit Divisors
  355.    wt: 1:   A Elementary Basis for Multiplication Methods
  356.    wt: 1:   3 More One Digit Multipliers
  357.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  358.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  359.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  360.    wt: 1:   5 A Tip for Efficent Subtraction
  361.    wt: 1:   2 Subtraction Easy Case Examples
  362.    wt: 1:   8 What skills and work habits to require
  363.    wt: 1:   2 Decimal Counting Practices
  364.    wt: 1:   11 Place Value SI Standard International way
  365.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  366.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  367.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  368.    wt: 1:   Quick history of numbers and algebra
  369.    wt: 1:   Formula Evaluation how to show work
  370.    wt: 1:   The 20 Times Table
  371.    wt: 1:   The 12 Times Table Visually
  372.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  373.    wt: 1:   012 Division of Time Intervals by Time Intervals
  374.    wt: 1:   2 Time and Date Matters in School
  375.    wt: 1:   1 Intro of Kids To Time Date Skills
  376.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  377.    wt: 1:   Example 2
  378.    wt: 1:   Area Between Curves Lesson Take 2
  379.    wt: 1:   3 Two Chain Rule Method Exercises
  380.    wt: 1:   2 Indefinite Integrals Exercises
  381.    wt: 1:   2 Second derivative test prequel
  382.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  383.    wt: 1:   34 Derivative of exponential function
  384.    wt: 1:   29 Chain Rule Optional Reading
  385.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  386.    wt: 1:   26 Chain Rule Recognising outer inner functions
  387.    wt: 1:   25 Chain Rule Animated Examples Continued
  388.    wt: 1:   24 Chain Rule Animated Examples
  389.    wt: 1:   23 Chain Rule in general
  390.    wt: 1:   19 Chain Rule for linear functions
  391.    wt: 1:   14 sine and cosine derivatives 2nd step
  392.    wt: 1:   12 Quotient rule examples
  393.    wt: 1:   10 Power rule for negative integers
  394.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  395.    wt: 1:   11 Limits at infinity Three Examples
  396.    wt: 1:   3 Decimal insights for limits continuity convergence
  397.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  398.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  399.    wt: 1:   F.2 Closed Range Theorem
  400.    wt: 1:   PostScript For and Against Decimal Perspectives
  401.    wt: 1:   Chapter 23 Links To Trigonometry
  402.    wt: 1:   Chapter 21 Arrow Addition
  403.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  404.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  405.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  406.    wt: 1:   Chapter 12. Units and Slopes
  407.    wt: 1:   Chapter 11. Graphing Slope versus Position
  408.    wt: 1:   Chapter 2. Slopes and Ski Trails
  409.    wt: 1:   Foreword
  410.    wt: 1:   Postscript More on Better Performance
  411.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  412.    wt: 1:   Chapter 28 Occurrence Tables
  413.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  414.    wt: 1:   Chapter 25. Mathematical Induction Examples
  415.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  416.    wt: 1:   Chapter 21. Third Reading Guide
  417.    wt: 1:   Chapter 20. Degrees and Radians
  418.    wt: 1:   Chapter 12. Shorthand Usage Guide
  419.    wt: 1:   Solutions For Arithmetic Exercises
  420.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  421.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  422.    wt: 1:   Foreword
  423.    wt: 1:   Postscript A Three Remarks
  424.    wt: 1:   Chapter 12 Four Phases
  425.    wt: 1:   Chapter 9 The Two Ends
  426.    wt: 1:   Chapter 7 Two Treatments of Geometry
  427.    wt: 1:   Chapter 3 Algebra Difficulties
  428.    wt: 1:   Foreword
  429.    wt: 1:   Postscript C Consistency as a Tool for Reason
  430.    wt: 1:   Chapter 24 Direct and Indirect Reason
  431.    wt: 1:   Chapter 23 Truth Tables
  432.    wt: 1:   Chapter 21 Occurrence Tables
  433.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  434.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  435.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  436.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  437.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  438.    wt: 1:   Chapter 2 Skill Development
  439.    wt: 1:   Three Remarks
  440.    wt: 1:   Foreword
  441.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  442.    wt: 1:   S Adding words to algebra
  443.    wt: 1:   R Why Learn Mathematics Skills
  444.    wt: 1:   N Mathematics Prepare for College Studies
  445.    wt: 1:   L Skills with take home value
  446.    wt: 1:   I. Logic and language skills
  447.    wt: 1:   How to Build Skills and Confidence
  448.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  449.    wt: 1:   Chapter 6 More Algebra and Geometry
  450.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  451.    wt: 1:   Chapter 3 Algebra Starter Lessons
  452.    wt: 1:   Chapter 2 Why Sets
  453.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  454.    wt: 1:   7 Games and Activities for Instruction
  455.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  456.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  457.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  458.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  459.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  460.    wt: 1:   More Algebra and Slope based Calculus Preview
  461.    wt: 1:   Systematic Algebra Skill Development Missing Links
  462.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  463.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  464.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  465.    wt: 1:   Which Way To Go
  466.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  467.    wt: 1:   The Math Forum and Site Content

Extended Search

901 matches:

  1.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  2.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 9:   Chapter 23. Notation For Sums
  4.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  5.    wt: 8:   6 Algebraic Solution Example
  6.    wt: 8:   5 Algebraic Solutions Introduction
  7.    wt: 8:   Postscript For Better Performance
  8.    wt: 8:   Chapter 28 Occurrence Tables
  9.    wt: 8:   Chapter 27 Shorthand Symbols as Pronouns
  10.    wt: 8:   Chapter 25. Mathematical Induction Examples
  11.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  12.    wt: 8:   Chapter 21. Third Reading Guide
  13.    wt: 8:   Chapter 20. Degrees and Radians
  14.    wt: 8:   Chapter 18. Rules for Algebra
  15.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  16.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  17.    wt: 8:   Chapter 12. Shorthand Usage Guide
  18.    wt: 7:   9 Formulas for Real Exponents with Logarithms
  19.    wt: 7:   8 Formulas for Fractional Exponents with Logarithms
  20.    wt: 7:   2 Essentially one exercises three with solution
  21.    wt: 7:   4 Four Examples Fractional Coefficients
  22.    wt: 7:   3 Four Examples
  23.    wt: 7:   1 Proper Equal Sign Usage
  24.    wt: 7:   12 Cone Cylinder Sphere Lesson Idea
  25.    wt: 7:   2 Another Rectangle Area Formula Example
  26.    wt: 7:   1 Written work formats for developing and showing skill
  27.    wt: 7:   Postscript More on Better Performance
  28.    wt: 7:   Appendix B. How To Learn
  29.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  30.    wt: 7:   Solutions For Arithmetic Exercises
  31.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  32.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  33.    wt: 7:   Foreword
  34.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  35.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  36.    wt: 6:   2 Square Root Simplification a prequel
  37.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  38.    wt: 6:   2 Algebraic View
  39.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  40.    wt: 6:   13 Naming Identifying Formulas with Words
  41.    wt: 6:   9 Volume of Cone
  42.    wt: 6:   8 Compound Interest Formula Evaluation
  43.    wt: 6:   7 Compound Interest Formula Introduction
  44.    wt: 6:   5 Box Volume Formula Example
  45.    wt: 6:   4 Circle Area Formula Example
  46.    wt: 6:   3 Triangle Area Formula Example
  47.    wt: 6:   1 Three Skills For Algebra
  48.    wt: 6:   Long Division forwards and backwards Example 2
  49.    wt: 6:   2 One Digit Multipliers
  50.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  51.    wt: 6:   9 22 Minute Subtraction Review Video
  52.    wt: 6:   2 Subtraction Easy Case Examples
  53.    wt: 6:   Appendix E. How To Study Mathematics and Why
  54.    wt: 6:   Appendix D. What to do in School and Why
  55.    wt: 6:   Appendix C. How to Read
  56.    wt: 6:   Chapter 31 Direct and Indirect Reason
  57.    wt: 6:   Chapter 30 Truth Tables
  58.    wt: 6:   Chapter 19. Functions and Sets
  59.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  60.    wt: 6:   Chapter 16. Painless Theorem Proving
  61.    wt: 6:   Chapter 15. Solving Linear Equations
  62.    wt: 6:   Chapter 13. Second Reading Guide
  63.    wt: 6:   Chapter 11. Why Shorthand
  64.    wt: 6:   Chapter 10 Describing and Changing Calculations
  65.    wt: 6:   Postscript What is a Variable
  66.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  67.    wt: 6:   Chapter 6 Change of Language
  68.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  69.    wt: 6:   Chapter 4 Longer Chains of Reason
  70.    wt: 6:   Chapter 3 Chains of Reason
  71.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  72.    wt: 5:   22 Square Root function graphically
  73.    wt: 5:   10 Exponential Growth and Decay Models
  74.    wt: 5:   3 Natural Logarithms and Exponentials Basic Properties
  75.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  76.    wt: 5:   2 Combing Counts Addition Skills and Principles
  77.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  78.    wt: 5:   6 Compound Interest Forward and Backwards
  79.    wt: 5:   5 Triangle Area Formula Backwards
  80.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  81.    wt: 5:   2 Linear Equation Literal Solution
  82.    wt: 5:   2 Three Examples
  83.    wt: 5:   11 Volume of Sphere
  84.    wt: 5:   10 Volume of Pyramid
  85.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  86.    wt: 5:   2 More and Less Than with Unlike Signs
  87.    wt: 5:   Long Division forwards and backwards Example 3
  88.    wt: 5:   12 Why Long Division Works Take III
  89.    wt: 5:   2 Division with Single Digit Divisors
  90.    wt: 5:   4 Two and Three Digit Multipliers
  91.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  92.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  93.    wt: 5:   Video Power Notation in Decimal Expansion
  94.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  95.    wt: 5:   5 A Tip for Efficent Subtraction
  96.    wt: 5:   2 Decimal Counting Practices
  97.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  98.    wt: 4:   geometric implications for algebra
  99.    wt: 4:   three goals for Mathematics Education
  100.    wt: 4:   02 21 words for teachers
  101.    wt: 4:   22 Student Centered Highschool Mathematics
  102.    wt: 4:   Ages 12 to 14 Skills with take home value
  103.    wt: 4:   26 Function definitions done and coming
  104.    wt: 4:   13 From one to one to many to one
  105.    wt: 4:   2 Algebraic use of function notation
  106.    wt: 4:   11 Growth and Decay in Biology
  107.    wt: 4:   5 Natural Logarithm Calculator Exercises
  108.    wt: 4:   1 Calculator Starter Exercises
  109.    wt: 4:   26 Formulas for products of sines and cosines
  110.    wt: 4:   12 cis formulas for sine cosines and tangent
  111.    wt: 4:   PS H Distributive Law For Complex Numbers
  112.    wt: 4:   PS B Parallelogram Construction Methods
  113.    wt: 4:   21 Parallelograms
  114.    wt: 4:   12 Side Angle Side Failure
  115.    wt: 4:   2 Correspondence between Triangles
  116.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  117.    wt: 4:   23 Distributive Law Two Derivations
  118.    wt: 4:   22 Multiplication of Signed Numbers
  119.    wt: 4:   21 Addition of Multiples of a Single Vector
  120.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  121.    wt: 4:   12 Real Numbers Line Signed Coordinates
  122.    wt: 4:   3 Inequalities Algebraically
  123.    wt: 4:   2 Fraction Operations Physical Development
  124.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  125.    wt: 4:   3 Linear Equation Literal Solution More
  126.    wt: 4:   1 Changing Calculations
  127.    wt: 4:   3 Product Axioms Two Forms
  128.    wt: 4:   2 More and Less Than for Counts and Measures
  129.    wt: 4:   12 Real Number Additive Inverses or Negatives
  130.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  131.    wt: 4:   2 GE II Comparison
  132.    wt: 4:   1 Essentially One Unknown
  133.    wt: 4:   Formula Usage Show Work Format
  134.    wt: 4:   1 More and Less Than for Counts and Measures
  135.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  136.    wt: 4:   12 GCD 2700 288 via Prime
  137.    wt: 4:   22 Complex Compound Fractions
  138.    wt: 4:   21 Reciprocals for Fractions and Wholes
  139.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  140.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  141.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  142.    wt: 4:   20 Uniqueness of Prime Factorization
  143.    wt: 4:   12 LCD GCD and LCM using Primes
  144.    wt: 4:   2 Prime and Composites less than 16
  145.    wt: 4:   Long Division Backwards more
  146.    wt: 4:   Long Division Backward
  147.    wt: 4:   Long Division forwards and backwards Example 1
  148.    wt: 4:   10 Division by Five Long and Short Ways
  149.    wt: 4:   4 Division with 2 Digit Divsors
  150.    wt: 4:   A Elementary Basis for Multiplication Methods
  151.    wt: 4:   3 More One Digit Multipliers
  152.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  153.    wt: 4:   Subtraction with J Conversions Example
  154.    wt: 4:   Subtraction Another Video Lesson
  155.    wt: 4:   8 Subtraction with Units of Measure
  156.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  157.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  158.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  159.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  160.    wt: 4:   8 What skills and work habits to require
  161.    wt: 4:   22 Chain Rule for polynomials
  162.    wt: 4:   21 Chain Rule for powers
  163.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  164.    wt: 4:   Chapter 22 Complex Numbers
  165.    wt: 4:   Chapter 2 For and Against Mathematics
  166.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  167.    wt: 3:   Skills Chapter 2 Geometry
  168.    wt: 3:   2 arithmetic with signed numbers
  169.    wt: 3:   Lessening Algebra Difficulties
  170.    wt: 3:   the trouble with algebra
  171.    wt: 3:   02 20 mathematics education references
  172.    wt: 3:   three aims for mathematics students
  173.    wt: 3:   Prequel In For A Penny In For A Pound
  174.    wt: 3:   B Energy Power02
  175.    wt: 3:   2 Conductance Resistance Duality02
  176.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  177.    wt: 3:   24 Standards For Skill Develoment Take II
  178.    wt: 3:   24 Standards For Skill Develoment
  179.    wt: 3:   12 Goals and Objectives For Mathematics
  180.    wt: 3:   2 Reading and Writing Skills
  181.    wt: 3:   Ages 12 to 14 Geometry
  182.    wt: 3:   Ages 12 to 14 Arithmetic
  183.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  184.    wt: 3:   sign monoticity analysis example 2
  185.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  186.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  187.    wt: 3:   23 Inverse Functions
  188.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  189.    wt: 3:   20 Interchanging coordinates a reflection
  190.    wt: 3:   12 Function Domain Recognition Exercises
  191.    wt: 3:   5 Function notation for geometric transformations
  192.    wt: 3:   12 motivation for term arctan
  193.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  194.    wt: 3:   8 Straight Lines Equation for vertical
  195.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  196.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  197.    wt: 3:   29 secant cosecant and cotangent for acute angles
  198.    wt: 3:   25 tangent double angle formula Slope connection
  199.    wt: 3:   24 tangent Angle Difference Formula
  200.    wt: 3:   21 sine and cosine Half Angle Formulas
  201.    wt: 3:   12 Graph of tangent function for one period
  202.    wt: 3:   21 Logarithms Powers and Exponentials
  203.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  204.    wt: 3:   4 Equations for lines three forms
  205.    wt: 3:   2 point slope equation for a line
  206.    wt: 3:   PS G Rotation Distributes over Addition
  207.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  208.    wt: 3:   PS E Multiplication with Polar Coordinates
  209.    wt: 3:   PS D Addition with Cartesian Coordinates
  210.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  211.    wt: 3:   PS A Kite Construction Methods
  212.    wt: 3:   26 More Less Greater Than Comparison
  213.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  214.    wt: 3:   19 Signed Multiples of Vectors
  215.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  216.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  217.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  218.    wt: 3:   15 Head to Tails in place Addition Associative
  219.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  220.    wt: 3:   13 Arrows and Vectors in a Plane
  221.    wt: 3:   11 Signed Number Addition and Addition Properties
  222.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  223.    wt: 3:   2 Counting Digits in Decimal Multiplication
  224.    wt: 3:   C Three Decimal Subtraction Methods
  225.    wt: 3:   6 Column Methods for Decimal Multiplication
  226.    wt: 3:   5 Distributive Law for Whole Numbers
  227.    wt: 3:   4 Commutative Law Groups Counting Form
  228.    wt: 3:   3 Multiplicative Counting Skills Principles
  229.    wt: 3:   5 Areas of Rectangles Revisited
  230.    wt: 3:   4 Fraction Operations Axiomatic Development
  231.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  232.    wt: 3:   5 Proportionality in Equivalent Fractions
  233.    wt: 3:   4 Rates Ratios and Proporitionality
  234.    wt: 3:   3 Proportionality Examples
  235.    wt: 3:   1 What is Proportionality
  236.    wt: 3:   5 Equality in Algebra
  237.    wt: 3:   2 Addition and Multiplication Axioms
  238.    wt: 3:   16 Real Numbers Comparison
  239.    wt: 3:   15 Real Number Division
  240.    wt: 3:   14 Real Number Multiplication
  241.    wt: 3:   13 Real Number Subtraction
  242.    wt: 3:   11 Real Number Addition
  243.    wt: 3:   10 Real Number Lengths and Signs
  244.    wt: 3:   9 Coordinates for Regions in Space
  245.    wt: 3:   8 Coordinates for Maps and Planes
  246.    wt: 3:   2 Integers
  247.    wt: 3:   5 Independent versus Dependent Variables
  248.    wt: 3:   3 Geometric Formulas and Function Notation
  249.    wt: 3:   2 Computation Rules Evaluation
  250.    wt: 3:   1 Formulas Dependence and Function Notation
  251.    wt: 3:   4 Solving a triangular system exercise
  252.    wt: 3:   3 Solving triangular system example
  253.    wt: 3:   10 One Example
  254.    wt: 3:   9 Three Examples
  255.    wt: 3:   8 One Example
  256.    wt: 3:   7 Two Examples
  257.    wt: 3:   6 Three Examples
  258.    wt: 3:   5 Three Examples
  259.    wt: 3:   4 Two Examples
  260.    wt: 3:   3 Two Examples
  261.    wt: 3:   Using Letters for Physical Quantities
  262.    wt: 3:   2 Venn Diagrams
  263.    wt: 3:   6 Three Notions of What is a Variable
  264.    wt: 3:   4 A Brief Story of numbers and algebra
  265.    wt: 3:   2 What is a Variable
  266.    wt: 3:   4 Greater More Less Than Signs in General
  267.    wt: 3:   3 Comparison of Negative Numbers
  268.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  269.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  270.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  271.    wt: 3:   3 signed coordinates for maps and planes
  272.    wt: 3:   2 signed and unsigned numbers as coordinates
  273.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  274.    wt: 3:   21 Working With Signs
  275.    wt: 3:   20 Dividing Fractions the Why
  276.    wt: 3:   2 Unit Fraction Multiplication
  277.    wt: 3:   12 Adding Integers More Examples
  278.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  279.    wt: 3:   26 Divisibility by 2 3 5 Example
  280.    wt: 3:   23 Remainder Arithmetic Modulo 2
  281.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  282.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  283.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  284.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  285.    wt: 3:   15 video Factors of 20 using Prime Factorization
  286.    wt: 3:   14 video Factors of 24 Take II
  287.    wt: 3:   13 video Factors of 24 using prime
  288.    wt: 3:   10 video Prime Factorization upto 23 squared
  289.    wt: 3:   Division with Counts and Length
  290.    wt: 3:   11 Another Single Digit Divisor Example
  291.    wt: 3:   9 Why Long Division Works Take II
  292.    wt: 3:   8 Correcting the Mistake
  293.    wt: 3:   7 Long Divison Mistake Catching
  294.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  295.    wt: 3:   5 Long Division Include Zeroes or not
  296.    wt: 3:   3 Division Single Digit Divisor Example
  297.    wt: 3:   1 Divsion Physical Examples
  298.    wt: 3:   D Decimal Multiplication Methods Derived
  299.    wt: 3:   C Counting Areas with Powers of Ten
  300.    wt: 3:   B Powers of Ten
  301.    wt: 3:   6 Multiplication Commutes Order Not Important
  302.    wt: 3:   5 Decimal Fraction Multiplication
  303.    wt: 3:   1 Why 3 times 5 gives 15
  304.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  305.    wt: 3:   7 Adding decimal fractions using decimal point
  306.    wt: 3:   6. Counting and adding units and mixed units
  307.    wt: 3:   5. How to add decimals C. Examples
  308.    wt: 3:   4. How to add with decimals B with conversions
  309.    wt: 3:   3. How to add with decimals A sans conversions
  310.    wt: 3:   1. Explaining Addition Table
  311.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  312.    wt: 3:   The 20 Times Table
  313.    wt: 3:   Example 2 volume of a cone
  314.    wt: 3:   38 Formulas and derivatives for powers and roots
  315.    wt: 3:   28 Chain Rule Preparation for a Proof
  316.    wt: 3:   20 Chain Rule for Pulley Systems
  317.    wt: 3:   10 Power rule for negative integers
  318.    wt: 3:   4 Sum Rule
  319.    wt: 3:   3 Motivation for Limit Definition Take 2
  320.    wt: 3:   2 Motivation for Limit Definition Take 1
  321.    wt: 3:   2 Algebraic codification
  322.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  323.    wt: 3:   Chapter 12 Four Phases
  324.    wt: 3:   Postscript C Consistency as a Tool for Reason
  325.    wt: 3:   Chapter 24 Direct and Indirect Reason
  326.    wt: 3:   Chapter 23 Truth Tables
  327.    wt: 3:   Chapter 21 Occurrence Tables
  328.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  329.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  330.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  331.    wt: 3:   Chapter 2 Skill Development
  332.    wt: 3:   Three Remarks
  333.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  334.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  335.    wt: 2:   Skills Chapter 3 Algebra
  336.    wt: 2:   5 logarithms and exponentials etc
  337.    wt: 2:   4 algebra
  338.    wt: 2:   three goals to set for students
  339.    wt: 2:   Applied Maths Program14092009 POMME variant
  340.    wt: 2:   Secondary Three Mathematics
  341.    wt: 2:   Secondary Two Mathematics
  342.    wt: 2:   Secondary One Mathematics
  343.    wt: 2:   talk the algebra talk
  344.    wt: 2:   three difficulties
  345.    wt: 2:   teaching tutoring algebraic reason
  346.    wt: 2:   04 29 New Mathematics Curriculum
  347.    wt: 2:   04 25 when to stop or suspend mathemat
  348.    wt: 2:   formal or informal peer review
  349.    wt: 2:   three kinds of reason in mathematics
  350.    wt: 2:   Four ways to improve education reform
  351.    wt: 2:   fairness and inductive principles for instruction
  352.    wt: 2:   2 Energy Power Heat07
  353.    wt: 2:   C Electromotive force conventional current02
  354.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  355.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  356.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  357.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  358.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  359.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  360.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  361.    wt: 2:   Ages 10 to 12 Geometry
  362.    wt: 2:   Ages 10 to 12 Arithmetic
  363.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  364.    wt: 2:   6 Set Existence Formation and Notation
  365.    wt: 2:   3 Formula or function graphing exercise
  366.    wt: 2:   8 quadratics backward use of various formulas
  367.    wt: 2:   7 quadratic formulla derivation
  368.    wt: 2:   4 quadratics difference of two squares
  369.    wt: 2:   2 quadratics graphing in general
  370.    wt: 2:   8 Notes for instructors or tutors
  371.    wt: 2:   2 Column Multiplication Method
  372.    wt: 2:   Rewriting algebraic substitution as function substitutions
  373.    wt: 2:   2 Radian Measure Numerical Value of one degree
  374.    wt: 2:   12 From Applied To Pure Mathematics
  375.    wt: 2:   2 Signed Coordinates
  376.    wt: 2:   4 graphing y=Asin(x c)
  377.    wt: 2:   3 graphing y=f(x c) plus K
  378.    wt: 2:   1 graphing y=f(x a)
  379.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  380.    wt: 2:   C Straight Lines Slope from Coordinates
  381.    wt: 2:   B Straight Line Slope Scaling Properties More
  382.    wt: 2:   A Straight Line Slope Scaling Properties
  383.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  384.    wt: 2:   12 Straight Lines Graphing mx plus b
  385.    wt: 2:   11 Straight Lines Graphing y=mx
  386.    wt: 2:   7 Tangent Function is odd on this domain
  387.    wt: 2:   5 Tangent Function Graph
  388.    wt: 2:   4 Tangent Function Properties
  389.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  390.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  391.    wt: 2:   28 Expressing products of sines cosines as sums
  392.    wt: 2:   27 Logarithmic use of products of sines and cosines
  393.    wt: 2:   20 sine and cosine Double Angle Formulas
  394.    wt: 2:   17E Trig Formulas for dot and cross Products
  395.    wt: 2:   17D cis formulas for sine cosines and tangent
  396.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  397.    wt: 2:   20 N th Roots of Complex Numbers
  398.    wt: 2:   13 Trig Formulas for dot and cross Products
  399.    wt: 2:   2 Complex Numbers made easier we hope
  400.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  401.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  402.    wt: 2:   12 Triangles Similarity More Problems
  403.    wt: 2:   2 Similarity By Design
  404.    wt: 2:   12 Links Lessons elsewhere
  405.    wt: 2:   12 Spatial Coordinates
  406.    wt: 2:   2 Cartesian Coordinates with signs
  407.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  408.    wt: 2:   19 Right Triangle Similarity
  409.    wt: 2:   18 Triangle Similarity Take 1
  410.    wt: 2:   17 Right Bisectors of Triangle Sides
  411.    wt: 2:   16 Angles Subtended By Chords and Diameters
  412.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  413.    wt: 2:   14 Parallel Lines Postulate
  414.    wt: 2:   13 Angle Side Angle Failure
  415.    wt: 2:   11 Triangle Construction Fails
  416.    wt: 2:   10 Dropping a perpendicular to line
  417.    wt: 2:   9 Construction of a right bisector
  418.    wt: 2:   8 Isoceles Triangles
  419.    wt: 2:   7 Angle Side Angle
  420.    wt: 2:   6 Ruler and compass Angle Bisection
  421.    wt: 2:   5 Side Angle Side
  422.    wt: 2:   4 Side Side Side
  423.    wt: 2:   3 Isometry of Triangles Congruence
  424.    wt: 2:   1 Initial Concepts and Terms
  425.    wt: 2:   Short Course on Euclidean Geometry
  426.    wt: 2:   musings do not puiblish real numbers
  427.    wt: 2:   A Modular and Remainder Arithmetic
  428.    wt: 2:   A Signed Number Arithmetic Review
  429.    wt: 2:   9 Division with Digits after Decimal Point
  430.    wt: 2:   8 Division and Mulplication of Compound Fractions
  431.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  432.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  433.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  434.    wt: 2:   4 Location of Point in Decimal Addition
  435.    wt: 2:   3 Location of Point in Decimal Multiplication
  436.    wt: 2:   1 Fractions with Finite Decimal Expansions
  437.    wt: 2:   E Long Division Methods more
  438.    wt: 2:   D Long Division Methods
  439.    wt: 2:   B Decimal Comparison and Subtraction
  440.    wt: 2:   A Decimal Addition Columm Methods
  441.    wt: 2:   8 Column Multiplication Methods in General
  442.    wt: 2:   7 Decimals Multiplication Methods Examples
  443.    wt: 2:   1 The Counting Origins of Numbers
  444.    wt: 2:   6 Equations and Systems Equivalent or Implied
  445.    wt: 2:   4 Subtraction and Division Axioms
  446.    wt: 2:   1 Equivalent Computation Rules
  447.    wt: 2:   5 Greater More Less Than Signs in General
  448.    wt: 2:   4 Comparison of Negative Numbers
  449.    wt: 2:   3 More and Less Than with Unlike Signs
  450.    wt: 2:   1 Real Numbers Comparison
  451.    wt: 2:   7 Real Numbers as Line Cordinates
  452.    wt: 2:   6 Unsigned Real Numbers
  453.    wt: 2:   5 Rational Numbers More
  454.    wt: 2:   4 Rational Numbers
  455.    wt: 2:   3 Fractions
  456.    wt: 2:   1 Whole and Natural Numbers
  457.    wt: 2:   4 Changing Letters
  458.    wt: 2:   More Exercises
  459.    wt: 2:   Simple Exercises
  460.    wt: 2:   4 GE III Animated Examples
  461.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  462.    wt: 2:   3 GE III Equation Addition and Multiplication
  463.    wt: 2:   1 GE Substitution four examples
  464.    wt: 2:   Skill Development Notes
  465.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  466.    wt: 2:   9 Sets in Probability and Statistics
  467.    wt: 2:   8 Sets of Numbers
  468.    wt: 2:   7 Cautious or Safe Set Construction
  469.    wt: 2:   6 Power Set Notation
  470.    wt: 2:   5 Product Builder Notation
  471.    wt: 2:   4 Subset Builder Notation
  472.    wt: 2:   3 Counting with Sets etc
  473.    wt: 2:   1 Finite Sets
  474.    wt: 2:   5 Talking about Numbers and Quantities
  475.    wt: 2:   3 Adding Words To Arithmetic
  476.    wt: 2:   About Folder Contents
  477.    wt: 2:   arithmetic videos Real Player Format
  478.    wt: 2:   2 Square Roots with Prime
  479.    wt: 2:   8 GCD from Euclidean Algorithm
  480.    wt: 2:   2 Least Common Multiple LCM intro via list method
  481.    wt: 2:   2 Counting with Tables and Trees I
  482.    wt: 2:   4 signed coordinates for regions in space
  483.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  484.    wt: 2:   2 Equality and Units
  485.    wt: 2:   D Three Term Ratios
  486.    wt: 2:   B Fractions and Two Term Ratios
  487.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  488.    wt: 2:   19 Dividing Fractions How TO
  489.    wt: 2:   18 Efficient Ways to Multiply
  490.    wt: 2:   17 Efficient Ways to Add and Subtract
  491.    wt: 2:   13 Fraction Comparison Algebraic View
  492.    wt: 2:   12 Fraction Comparison
  493.    wt: 2:   11 Simplification an Algebraic View
  494.    wt: 2:   6 Multiplication Algebraically Take II
  495.    wt: 2:   13 Subtraction with Additive Inverse
  496.    wt: 2:   11 Adding Integers Formulas and Examples
  497.    wt: 2:   10 Integer Multiplication Formulas
  498.    wt: 2:   21 Remainder Arithmetic Modulo 3
  499.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  500.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  501.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  502.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  503.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  504.    wt: 2:   5 Remainder Arithmetic Modulo 5
  505.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  506.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  507.    wt: 2:   1 Remainder Arithmetic Modulo 10
  508.    wt: 2:   19 video Prime Factorization Unique
  509.    wt: 2:   18 video Count Factors given Prime Factorization
  510.    wt: 2:   17 Identify and Count Factors using Primes
  511.    wt: 2:   16 video Factors of 980 using prime
  512.    wt: 2:   11 Efficient Square Rule Use
  513.    wt: 2:   9 video Prime Factorization upto 19 squared
  514.    wt: 2:   8 video Prime Factorization upto 19
  515.    wt: 2:   7 Calculator Usage Notes and Cautions
  516.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  517.    wt: 2:   5 Prime Factorization and a Square Rule
  518.    wt: 2:   4 video Prime Factorization Introduction
  519.    wt: 2:   3 video Primes and Composites from 9 times table
  520.    wt: 2:   1 video how Products are bigger than factor
  521.    wt: 2:   11 Place Value SI Standard International way
  522.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  523.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  524.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  525.    wt: 2:   Quick history of numbers and algebra
  526.    wt: 2:   Formula Evaluation how to show work
  527.    wt: 2:   The 12 Times Table Visually
  528.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  529.    wt: 2:   012 Division of Time Intervals by Time Intervals
  530.    wt: 2:   2 Time and Date Matters in School
  531.    wt: 2:   1 Intro of Kids To Time Date Skills
  532.    wt: 2:   Example 1. Area Between x and x squared
  533.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  534.    wt: 2:   Example 3
  535.    wt: 2:   Example 2
  536.    wt: 2:   Area Between Curves Lesson Take 2
  537.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  538.    wt: 2:   A Chain Rule Real Player video examples
  539.    wt: 2:   34 Derivative of exponential function
  540.    wt: 2:   30Chain Rule A Proof
  541.    wt: 2:   29 Chain Rule Optional Reading
  542.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  543.    wt: 2:   26 Chain Rule Recognising outer inner functions
  544.    wt: 2:   25 Chain Rule Animated Examples Continued
  545.    wt: 2:   24 Chain Rule Animated Examples
  546.    wt: 2:   23 Chain Rule in general
  547.    wt: 2:   19 Chain Rule for linear functions
  548.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  549.    wt: 2:   14 sine and cosine derivatives 2nd step
  550.    wt: 2:   12 Quotient rule examples
  551.    wt: 2:   11 Quotient rule
  552.    wt: 2:   9 Reciprocal rule
  553.    wt: 2:   8 Differentiation of polynomials
  554.    wt: 2:   7 Animated Differentiation Examples
  555.    wt: 2:   6 Power rule from product rule
  556.    wt: 2:   5 Product Rule
  557.    wt: 2:   11 Limits at infinity Three Examples
  558.    wt: 2:   10 Three one sided limits with infinite values
  559.    wt: 2:   3 Decimal insights for limits continuity convergence
  560.    wt: 2:   E2 Algebraic Properties of Limits
  561.    wt: 2:   D2 Limits of Monotone Sequences
  562.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  563.    wt: 2:   Chapter 23 Links To Trigonometry
  564.    wt: 2:   Chapter 21 Arrow Addition
  565.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  566.    wt: 2:   Chapter 12. Units and Slopes
  567.    wt: 2:   Chapter 2. Slopes and Ski Trails
  568.    wt: 2:   Postscript A Three Remarks
  569.    wt: 2:   Chapter 9 The Two Ends
  570.    wt: 2:   Chapter 7 Two Treatments of Geometry
  571.    wt: 2:   Chapter 3 Algebra Difficulties
  572.    wt: 2:   Foreword
  573.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  574.    wt: 2:   Postscript B More on Story Telling and Reason
  575.    wt: 2:   Postscript A Story Telling
  576.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  577.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  578.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  579.    wt: 2:   Foreword
  580.    wt: 2:   L Skills with take home value
  581.    wt: 2:   G. Written work formats for developing and showing skill
  582.    wt: 2:   Chapter 2 Why Sets
  583.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  584.    wt: 2:   7 Games and Activities for Instruction
  585.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  586.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  587.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  588.    wt: 1:   Appendix 2 primary school Arithmetic 01
  589.    wt: 1:   G LAMP Introduction Problem Solving Skills
  590.    wt: 1:   Skills Chapter 5 Calculus
  591.    wt: 1:   Skills Chapter 4 Logic
  592.    wt: 1:   Ramblings Introduction Algebra Essay
  593.    wt: 1:   Skills Chapter 1 Arithmetic
  594.    wt: 1:   Skills Chapter 0 Introduction
  595.    wt: 1:   11 pure mathematics
  596.    wt: 1:   10 statistics
  597.    wt: 1:   9 combinatorics probability sets
  598.    wt: 1:   8 analytic geometry etc
  599.    wt: 1:   7 logic review and decimals an odd combination
  600.    wt: 1:   6 polynomials etc
  601.    wt: 1:   3 Euclidean Geometry Leanly
  602.    wt: 1:   1 arithmetic with unsigned numbers
  603.    wt: 1:   What is POMME
  604.    wt: 1:   why bother
  605.    wt: 1:   which way to go
  606.    wt: 1:   permissions for teachers
  607.    wt: 1:   activities for students
  608.    wt: 1:   About site lesson plans
  609.    wt: 1:   learning takes time
  610.    wt: 1:   Postscript 2007 01 10
  611.    wt: 1:   Education Reform Inconsistencies
  612.    wt: 1:   Maps Plans Drawings
  613.    wt: 1:   how letters appear
  614.    wt: 1:   teaching tips
  615.    wt: 1:   What to Tell Students
  616.    wt: 1:   mathematics curriculum shifts
  617.    wt: 1:   05 13 OldSiteEntrancePage
  618.    wt: 1:   standards for course material
  619.    wt: 1:   need for a mixed mathematics curriculum
  620.    wt: 1:   education an empirical art
  621.    wt: 1:   words for mathematics instructor
  622.    wt: 1:   chapitre 12 00 les iles et division
  623.    wt: 1:   chapitre 04 05 Implication versus suggestion
  624.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  625.    wt: 1:   chapitre 04 02 Deuxieme enigme
  626.    wt: 1:   chapitre 02 00 La Communication des idees
  627.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  628.    wt: 1:   4 Energy Power Heat09
  629.    wt: 1:   3 Energy Power Heat08
  630.    wt: 1:   1 Energy Power Heat06
  631.    wt: 1:   E Energy Power05
  632.    wt: 1:   D Energy Power04
  633.    wt: 1:   C Energy Power03
  634.    wt: 1:   A Energy Power01
  635.    wt: 1:   D Wire Resistance Calculation02
  636.    wt: 1:   B Wire Resistance Qualitative02
  637.    wt: 1:   3 Like resistors in parallel
  638.    wt: 1:   2 Unlike resistors in parallel01
  639.    wt: 1:   H Series Circuit02
  640.    wt: 1:   B Electromotive force conventional current01
  641.    wt: 1:   17 Math Booklets for children and young teenagers
  642.    wt: 1:   15 Counting For Parents
  643.    wt: 1:   10 Ends values for work study instruction
  644.    wt: 1:   5 Patience Please for Yourself and Your Charges
  645.    wt: 1:   4 Learning Takes Time and Effort
  646.    wt: 1:   3 Preparing for Science Studies
  647.    wt: 1:   1 Speaking Skills
  648.    wt: 1:   Ages 9 to 10
  649.    wt: 1:   Ages 8 to 9
  650.    wt: 1:   Ages 7 to 8
  651.    wt: 1:   Ages 6 to 7
  652.    wt: 1:   Ages 4 plus to 5 plus
  653.    wt: 1:   Ages 3 plus to 4 plus
  654.    wt: 1:   sign monoticity analysis example 4
  655.    wt: 1:   sign monoticity analysis example 3
  656.    wt: 1:   sign monoticity analysis example 1
  657.    wt: 1:   19 Horizontal line rule and method
  658.    wt: 1:   18 Vertical Line Rule and Method
  659.    wt: 1:   17 Function maxima minima and their location
  660.    wt: 1:   16 Increasing or decreasing on intervals
  661.    wt: 1:   15 Sign analysis of functions
  662.    wt: 1:   14 Surjections Injections Bijections
  663.    wt: 1:   11 Function Domain Range Source and Targets
  664.    wt: 1:   10 Interval Notation
  665.    wt: 1:   9 Set theory term relation possible origins
  666.    wt: 1:   8 Set view of relations and functions
  667.    wt: 1:   7 Functions with finite domains
  668.    wt: 1:   4 Function notation in and beyond mathematics
  669.    wt: 1:   1 Geometric Introduction of Function Notation
  670.    wt: 1:   Introduction Reading Guide
  671.    wt: 1:   A Quadratics Summary
  672.    wt: 1:   10 quadratic exercises
  673.    wt: 1:   9 quadratics physical and further context
  674.    wt: 1:   6 quadratics numerical approach
  675.    wt: 1:   5 quadratics completing the square
  676.    wt: 1:   3 quadratics factoring by inspection
  677.    wt: 1:   1 quadratics graphing exercises
  678.    wt: 1:   Quadratics in 10 steps
  679.    wt: 1:   7 Links Lessons Elsewhere
  680.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  681.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  682.    wt: 1:   4 Polynomials Long division linear divisor
  683.    wt: 1:   3 Polynomials Multiplication Addition
  684.    wt: 1:   1 Polynomials Distributive Law
  685.    wt: 1:   16 cotangent function Definition Graph and Inverse
  686.    wt: 1:   15 cosecant function Definition Graph and Inverse
  687.    wt: 1:   14 secant function Definition Graph and Inverse
  688.    wt: 1:   13 cosecant function Definition Graph and Inverse
  689.    wt: 1:   11 arctan left inverse of tangent Graph
  690.    wt: 1:   10 arctan left inverse of tangent Definition
  691.    wt: 1:   9 motivation for name arcsin
  692.    wt: 1:   4 possible motivation for term arccos
  693.    wt: 1:   2 cosine function more properties
  694.    wt: 1:   9 Summary Degrees to Radians and back
  695.    wt: 1:   11 Component Method
  696.    wt: 1:   Parallel Lines and Interior Angles
  697.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  698.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  699.    wt: 1:   Straight Lines ASA Intersection Study More
  700.    wt: 1:   14 Straight Lines Equations General Case
  701.    wt: 1:   10 Straight Lines through Origin Equations More
  702.    wt: 1:   9 Straight Lines through Origin Equations
  703.    wt: 1:   1 Straight Lines Slope Concept
  704.    wt: 1:   17 tangent function angle sum formulas
  705.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  706.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  707.    wt: 1:   32 seven rows of pascals triangle
  708.    wt: 1:   30 unit circle calculation of six trigonometric functions
  709.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  710.    wt: 1:   17C sine and cosine double triple angle formulas
  711.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  712.    wt: 1:   9 Graphs of sine and cosine over one period
  713.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  714.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  715.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  716.    wt: 1:   2 Quadrant I reference Angles
  717.    wt: 1:   11 sine and cosine double triple angle formulas
  718.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  719.    wt: 1:   7 Second Way to Calculate Products
  720.    wt: 1:   8 Triangles Cascade Problem Solving
  721.    wt: 1:   7 Trignometric Ratios Unit Circle
  722.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  723.    wt: 1:   3 Trigonometric Ratios sine and cosine
  724.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  725.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  726.    wt: 1:   4 Similarity Definition with Coordinate
  727.    wt: 1:   8 Mid Point Formula
  728.    wt: 1:   5 Algebraic View of Slopes
  729.    wt: 1:   3 Slope product for perpendicular lines
  730.    wt: 1:   13 Pythagorean spatial distance formulas
  731.    wt: 1:   10 Pythagorean plane distance formula
  732.    wt: 1:   2 Measuring Area Directly
  733.    wt: 1:   5 Square Roots with primes more still
  734.    wt: 1:   4 Square Roots with primes more
  735.    wt: 1:   3 Properties of Square Roots with example
  736.    wt: 1:   1 Squares and Square Roots Introduction
  737.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  738.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  739.    wt: 1:   13 GCD from given Prime Factorization
  740.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  741.    wt: 1:   7 GCD and LCM from prime factorization
  742.    wt: 1:   6 GCD from Prime
  743.    wt: 1:   5 Common Divisors 60 45 via Prime
  744.    wt: 1:   4 LCM of 8 and 10 via Prime
  745.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  746.    wt: 1:   1 Least Common Multiples LCM Introduction
  747.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  748.    wt: 1:   4 Counting with Trees Product Rule Take I
  749.    wt: 1:   3 Counting with Tables and Trees II
  750.    wt: 1:   1 Counting and Counting Methods I
  751.    wt: 1:   11 What are real lengths and numbers
  752.    wt: 1:   10 dividing signed numbers
  753.    wt: 1:   9 subtracting signed numbers
  754.    wt: 1:   8 multiplying signed numbers
  755.    wt: 1:   7 negative and additive inverse
  756.    wt: 1:   6 adding signed numbers
  757.    wt: 1:   5 lengths and signs of numbers
  758.    wt: 1:   7 Converting or Changing Units
  759.    wt: 1:   6 Simplification of Fractions with Units
  760.    wt: 1:   4 Fractions with Units
  761.    wt: 1:   3 Multiplying Units and Numbers
  762.    wt: 1:   1 Addition and Subtraction with Units
  763.    wt: 1:   16 Addition Subtraction Comparision Compared
  764.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  765.    wt: 1:   14 Adding and Subtracting with Like Denominators
  766.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  767.    wt: 1:   9 Improper Fractions and Mixed Numbers
  768.    wt: 1:   8 Numerals Fractionals Quantals Take II
  769.    wt: 1:   7 Numerals Fractionals Quantals
  770.    wt: 1:   6 Multiplication of Mixed Numbers
  771.    wt: 1:   5 Equivalent Fractions
  772.    wt: 1:   4 Fraction Multiplication
  773.    wt: 1:   3 Unit fraction of a fraction
  774.    wt: 1:   1 What is a fraction Take II
  775.    wt: 1:   1 What is a fraction
  776.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  777.    wt: 1:   D Remainders Modulo 11 Pair Rule
  778.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  779.    wt: 1:   B Integer Long Division Multiple Choices
  780.    wt: 1:   A Associative Law Theorectical Note
  781.    wt: 1:   9 Multiplying Integers
  782.    wt: 1:   8 Multiplication by Signed Numbers Integers
  783.    wt: 1:   7 Multiplication by Signs
  784.    wt: 1:   6 Multiplication by Natural Numbers
  785.    wt: 1:   5 Zero Movement and Additive Inverses
  786.    wt: 1:   4 Adding Movements wiht opposite directions
  787.    wt: 1:   3 Adding Movements with same direction
  788.    wt: 1:   1 Integers as Coordinates
  789.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  790.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  791.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  792.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  793.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  794.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  795.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  796.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  797.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  798.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  799.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  800.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  801.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  802.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  803.    wt: 1:   Exact Arithmetic Wholes and Fractions
  804.    wt: 1:   Expression Evaluation how to show work
  805.    wt: 1:   About folder contents
  806.    wt: 1:   016 Numbering Occidental Calendar Days
  807.    wt: 1:   015 School and work day counting tables
  808.    wt: 1:   014 Counting Days with Calendars
  809.    wt: 1:   013 Travel Time Tables
  810.    wt: 1:   011 Division of Time Intervals By Numbers
  811.    wt: 1:   010 Repeated Addition of Time Intervals
  812.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  813.    wt: 1:   8 Addition of Time Intervals via subtotaling
  814.    wt: 1:   7 Addition of Time Intervals
  815.    wt: 1:   6 How long is a million seconds
  816.    wt: 1:   5 Conversion Arithmetic
  817.    wt: 1:   4 Mixing and Changing Units of Time
  818.    wt: 1:   3 Units and Lengths of Time
  819.    wt: 1:   Example 1 volume of a pyramid
  820.    wt: 1:   Volume of Solid by Cross Sections Lesson
  821.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  822.    wt: 1:   Example 4 with x function of y
  823.    wt: 1:   Example 1
  824.    wt: 1:   Area Between Curves Lesson Take 1
  825.    wt: 1:   Summary
  826.    wt: 1:   3 Two Chain Rule Method Exercises
  827.    wt: 1:   2 Indefinite Integrals Exercises
  828.    wt: 1:   1 Chain Rule in Reverse Integration Method
  829.    wt: 1:   2 Second derivative test prequel
  830.    wt: 1:   36 Cube root derivative animated
  831.    wt: 1:   33 Chain Rule Real Player video examples
  832.    wt: 1:   31 Derivatives of inverse functions
  833.    wt: 1:   18 Chain Rule Introduction
  834.    wt: 1:   17 Derivatives of quotients of sine and cosine
  835.    wt: 1:   15 sine and cosine derivatives 3rd step
  836.    wt: 1:   13 sine and cosine derivatives 1st step
  837.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  838.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  839.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  840.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  841.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  842.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  843.    wt: 1:   F.4 Finite Covering Theorem
  844.    wt: 1:   F.2 Closed Range Theorem
  845.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  846.    wt: 1:   PostScript For and Against Decimal Perspectives
  847.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  848.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  849.    wt: 1:   Chapter 11. Graphing Slope versus Position
  850.    wt: 1:   Fall 1983 Calculus Appetizer
  851.    wt: 1:   Foreword
  852.    wt: 1:   Annotated Links to Material Elsehwere
  853.    wt: 1:   Postscript B Mathematics Education References
  854.    wt: 1:   Chapter 11 Elementary Instruction
  855.    wt: 1:   Chapter 10 Transition
  856.    wt: 1:   Chapter 8 Modern Instruction
  857.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  858.    wt: 1:   Chapter 5 Four References
  859.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  860.    wt: 1:   Chapter 1 Introduction
  861.    wt: 1:   Chapter 18 Sense and Knowledge
  862.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  863.    wt: 1:   Chapter 15 Objective Processes
  864.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  865.    wt: 1:   Chapter 11 Accidental Patterns
  866.    wt: 1:   Chapter 10 Responsibility
  867.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  868.    wt: 1:   Chapter 8 Change of Language
  869.    wt: 1:   Chapter 7 Longer Chains of Reason
  870.    wt: 1:   Chapter 6 Chains of Reason
  871.    wt: 1:   Chapter 5 Deception
  872.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  873.    wt: 1:   Chapter 1 Introduction
  874.    wt: 1:   S Adding words to algebra
  875.    wt: 1:   R Why Learn Mathematics Skills
  876.    wt: 1:   N Mathematics Prepare for College Studies
  877.    wt: 1:   I. Logic and language skills
  878.    wt: 1:   B. Domino effect of errors
  879.    wt: 1:   How to Build Skills and Confidence
  880.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  881.    wt: 1:   Chapter 6 More Algebra and Geometry
  882.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  883.    wt: 1:   Chapter 3 Algebra Starter Lessons
  884.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  885.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  886.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  887.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  888.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  889.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  890.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  891.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  892.    wt: 1:   More Algebra and Slope based Calculus Preview
  893.    wt: 1:   Systematic Algebra Skill Development Missing Links
  894.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  895.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  896.    wt: 1:   Which Way To Go
  897.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  898.    wt: 1:   The Math Forum and Site Content
  899.    wt: 10:   2 Three Examples
  900.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  901.    wt: 10:   Chapter 8 Three Skills For Algebra

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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