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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

54 matches:

  1.    wt: 6:   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:   8 Unifying Theme For Algebra/
  5.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  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:   Mathematics Skills Year by Year/
  16.    wt: 2:   12 Function Translating and Rescaling/
  17.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  18.    wt: 2:   B Real Numbers Extrinsic Development/
  19.    wt: 2:   A Origins of Counting and Figuring Methods/
  20.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  21.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  22.    wt: 2:   5 Real Numbers/
  23.    wt: 2:   4 Computation Rules and Function Notation/
  24.    wt: 2:   Step 4 Gaussian Elimination/
  25.    wt: 2:   Step 1 Stick diagram and fractions/
  26.    wt: 2:   3 Solving Linear Equations/
  27.    wt: 2:   1 Working With Sets/
  28.    wt: 2:   Algebra Starter Lessons/
  29.    wt: 2:   3 Prime Factorization Skills/
  30.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  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

478 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:   02 21 words for teachers
  5.    wt: 3:   26 Formulas for products of sines and cosines
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   4 Equations for lines three forms
  9.    wt: 3:   2 Combing Counts Addition Skills and Principles
  10.    wt: 3:   12 GCD 2700 288 via Prime
  11.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  12.    wt: 3:   26 Divisibility by 2 3 5 Example
  13.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  14.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  15.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  16.    wt: 3:   9 22 Minute Subtraction Review Video
  17.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  18.    wt: 3:   22 Chain Rule for polynomials
  19.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  20.    wt: 2:   Skills Chapter 3 Algebra
  21.    wt: 2:   Skills Chapter 2 Geometry
  22.    wt: 2:   three goals to set for students
  23.    wt: 2:   geometric implications for algebra
  24.    wt: 2:   three goals for Mathematics Education
  25.    wt: 2:   02 20 mathematics education references
  26.    wt: 2:   three aims for mathematics students
  27.    wt: 2:   formal or informal peer review
  28.    wt: 2:   Prequel In For A Penny In For A Pound
  29.    wt: 2:   2 Conductance Resistance Duality02
  30.    wt: 2:   C Electromotive force conventional current02
  31.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  32.    wt: 2:   24 Standards For Skill Develoment Take II
  33.    wt: 2:   24 Standards For Skill Develoment
  34.    wt: 2:   22 Student Centered Highschool Mathematics
  35.    wt: 2:   13 Addition and Addition Tables
  36.    wt: 2:   12 Goals and Objectives For Mathematics
  37.    wt: 2:   2 Reading and Writing Skills
  38.    wt: 2:   Ages 12 to 14 Skills with take home value
  39.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  40.    wt: 2:   22 Square Root function graphically
  41.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  42.    wt: 2:   5 Function notation for geometric transformations
  43.    wt: 2:   2 Algebraic use of function notation
  44.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  45.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  46.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  47.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  48.    wt: 2:   12 motivation for term arctan
  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:   12 Graph of tangent function for one period
  57.    wt: 2:   13 Trig Formulas for dot and cross Products
  58.    wt: 2:   2 Similarity By Design
  59.    wt: 2:   2 point slope equation for a line
  60.    wt: 2:   22 Multiplication of Signed Numbers
  61.    wt: 2:   21 Addition of Multiples of a Single Vector
  62.    wt: 2:   11 Signed Number Addition and Addition Properties
  63.    wt: 2:   C Three Decimal Subtraction Methods
  64.    wt: 2:   2 Algebraic View
  65.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  66.    wt: 2:   2 Addition and Multiplication Axioms
  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 Essentially one exercises three with solution
  70.    wt: 2:   2 Three Examples
  71.    wt: 2:   2 Three Examples
  72.    wt: 2:   Formula Usage Show Work Format
  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:   1 Addition and Subtraction with Units
  80.    wt: 2:   22 Complex Compound Fractions
  81.    wt: 2:   21 Reciprocals for Fractions and Wholes
  82.    wt: 2:   16 Addition Subtraction Comparision Compared
  83.    wt: 2:   23 Remainder Arithmetic Modulo 2
  84.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  85.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  86.    wt: 2:   Long Division forwards and backwards Example 2
  87.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  88.    wt: 2:   5 A Tip for Efficent Subtraction
  89.    wt: 2:   2 Subtraction Easy Case Examples
  90.    wt: 2:   012 Division of Time Intervals by Time Intervals
  91.    wt: 2:   38 Formulas and derivatives for powers and roots
  92.    wt: 2:   28 Chain Rule Preparation for a Proof
  93.    wt: 2:   21 Chain Rule for powers
  94.    wt: 2:   20 Chain Rule for Pulley Systems
  95.    wt: 2:   3 Motivation for Limit Definition Take 2
  96.    wt: 2:   2 Motivation for Limit Definition Take 1
  97.    wt: 2:   2 Algebraic codification
  98.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  99.    wt: 2:   E2 Algebraic Properties of Limits
  100.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  101.    wt: 2:   Chapter 22 Complex Numbers
  102.    wt: 2:   Chapter 21 Arrow Addition
  103.    wt: 2:   Postscript For Better Performance
  104.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  105.    wt: 2:   Chapter 23. Notation For Sums
  106.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  107.    wt: 2:   Chapter 18. Rules for Algebra
  108.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  109.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  110.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  111.    wt: 2:   Chapter 2 For and Against Mathematics
  112.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  113.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  114.    wt: 2:   G. Written work formats for developing and showing skill
  115.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  116.    wt: 1:   Appendix 2 primary school Arithmetic 01
  117.    wt: 1:   G LAMP Introduction Problem Solving Skills
  118.    wt: 1:   Skills Chapter 5 Calculus
  119.    wt: 1:   Skills Chapter 4 Logic
  120.    wt: 1:   Ramblings Introduction Algebra Essay
  121.    wt: 1:   Skills Chapter 1 Arithmetic
  122.    wt: 1:   Skills Chapter 0 Introduction
  123.    wt: 1:   4 algebra
  124.    wt: 1:   2 arithmetic with signed numbers
  125.    wt: 1:   permissions for teachers
  126.    wt: 1:   Applied Maths Program14092009 POMME variant
  127.    wt: 1:   activities for students
  128.    wt: 1:   Postscript 2007 01 10
  129.    wt: 1:   Education Reform Inconsistencies
  130.    wt: 1:   Secondary Three Mathematics
  131.    wt: 1:   talk the algebra talk
  132.    wt: 1:   three difficulties
  133.    wt: 1:   teaching tutoring algebraic reason
  134.    wt: 1:   Lessening Algebra Difficulties
  135.    wt: 1:   the trouble with algebra
  136.    wt: 1:   04 29 New Mathematics Curriculum
  137.    wt: 1:   04 25 when to stop or suspend mathemat
  138.    wt: 1:   standards for course material
  139.    wt: 1:   three kinds of reason in mathematics
  140.    wt: 1:   Four ways to improve education reform
  141.    wt: 1:   need for a mixed mathematics curriculum
  142.    wt: 1:   fairness and inductive principles for instruction
  143.    wt: 1:   words for mathematics instructor
  144.    wt: 1:   chapitre 12 00 les iles et division
  145.    wt: 1:   chapitre 04 02 Deuxieme enigme
  146.    wt: 1:   chapitre 02 00 La Communication des idees
  147.    wt: 1:   2 Energy Power Heat07
  148.    wt: 1:   B Energy Power02
  149.    wt: 1:   D Wire Resistance Calculation02
  150.    wt: 1:   B Wire Resistance Qualitative02
  151.    wt: 1:   2 Unlike resistors in parallel01
  152.    wt: 1:   H Series Circuit02
  153.    wt: 1:   B Electromotive force conventional current01
  154.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  155.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  156.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  157.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  158.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  159.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  160.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  161.    wt: 1:   17 Math Booklets for children and young teenagers
  162.    wt: 1:   15 Counting For Parents
  163.    wt: 1:   10 Ends values for work study instruction
  164.    wt: 1:   9 Streaming by Student Cooperation
  165.    wt: 1:   5 Patience Please for Yourself and Your Charges
  166.    wt: 1:   4 Learning Takes Time and Effort
  167.    wt: 1:   3 Preparing for Science Studies
  168.    wt: 1:   1 Speaking Skills
  169.    wt: 1:   Ages 12 to 14 Geometry
  170.    wt: 1:   Ages 12 to 14 Arithmetic
  171.    wt: 1:   Ages 10 to 12 Geometry
  172.    wt: 1:   Ages 10 to 12 Arithmetic
  173.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  174.    wt: 1:   sign monoticity analysis example 2
  175.    wt: 1:   26 Function definitions done and coming
  176.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  177.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  178.    wt: 1:   23 Inverse Functions
  179.    wt: 1:   20 Interchanging coordinates a reflection
  180.    wt: 1:   12 Function Domain Recognition Exercises
  181.    wt: 1:   6 Set Existence Formation and Notation
  182.    wt: 1:   3 Formula or function graphing exercise
  183.    wt: 1:   8 quadratics backward use of various formulas
  184.    wt: 1:   7 quadratic formulla derivation
  185.    wt: 1:   3 quadratics factoring by inspection
  186.    wt: 1:   2 quadratics graphing in general
  187.    wt: 1:   2 Square Root Simplification a prequel
  188.    wt: 1:   8 Notes for instructors or tutors
  189.    wt: 1:   3 Polynomials Multiplication Addition
  190.    wt: 1:   2 Column Multiplication Method
  191.    wt: 1:   Rewriting algebraic substitution as function substitutions
  192.    wt: 1:   9 motivation for name arcsin
  193.    wt: 1:   4 possible motivation for term arccos
  194.    wt: 1:   2 cosine function more properties
  195.    wt: 1:   2 Radian Measure Numerical Value of one degree
  196.    wt: 1:   12 From Applied To Pure Mathematics
  197.    wt: 1:   10 Parallelogram Addition Method
  198.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  199.    wt: 1:   5 Head To Tail Arrow Addition
  200.    wt: 1:   2 Signed Coordinates
  201.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  202.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  203.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  204.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  205.    wt: 1:   12 Straight Lines Graphing mx plus b
  206.    wt: 1:   8 Straight Lines Equation for vertical
  207.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  208.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  209.    wt: 1:   17 tangent function angle sum formulas
  210.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  211.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  212.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  213.    wt: 1:   32 seven rows of pascals triangle
  214.    wt: 1:   28 Expressing products of sines cosines as sums
  215.    wt: 1:   27 Logarithmic use of products of sines and cosines
  216.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  217.    wt: 1:   17C sine and cosine double triple angle formulas
  218.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  219.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  220.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  221.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  222.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  223.    wt: 1:   2 Quadrant I reference Angles
  224.    wt: 1:   21 Logarithms Powers and Exponentials
  225.    wt: 1:   20 N th Roots of Complex Numbers
  226.    wt: 1:   11 sine and cosine double triple angle formulas
  227.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  228.    wt: 1:   3 Addition Properties
  229.    wt: 1:   2 Complex Numbers made easier we hope
  230.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  231.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  232.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  233.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  234.    wt: 1:   12 Triangles Similarity More Problems
  235.    wt: 1:   3 Similarity by Design with coordinates
  236.    wt: 1:   12 Links Lessons elsewhere
  237.    wt: 1:   8 Mid Point Formula
  238.    wt: 1:   6 Intersection of lines by solving linear systems
  239.    wt: 1:   5 Algebraic View of Slopes
  240.    wt: 1:   3 Slope product for perpendicular lines
  241.    wt: 1:   13 Pythagorean spatial distance formulas
  242.    wt: 1:   12 Spatial Coordinates
  243.    wt: 1:   10 Pythagorean plane distance formula
  244.    wt: 1:   5 Cartesian Addition and Translation
  245.    wt: 1:   2 Cartesian Coordinates with signs
  246.    wt: 1:   PS H Distributive Law For Complex Numbers
  247.    wt: 1:   PS G Rotation Distributes over Addition
  248.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  249.    wt: 1:   PS D Addition with Cartesian Coordinates
  250.    wt: 1:   21 Parallelograms
  251.    wt: 1:   16 Angles Subtended By Chords and Diameters
  252.    wt: 1:   12 Side Angle Side Failure
  253.    wt: 1:   2 Correspondence between Triangles
  254.    wt: 1:   2 Measuring Area Directly
  255.    wt: 1:   26 More Less Greater Than Comparison
  256.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  257.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  258.    wt: 1:   23 Distributive Law Two Derivations
  259.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  260.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  261.    wt: 1:   15 Head to Tails in place Addition Associative
  262.    wt: 1:   12 Real Numbers Line Signed Coordinates
  263.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  264.    wt: 1:   4 Location of Point in Decimal Addition
  265.    wt: 1:   2 Counting Digits in Decimal Multiplication
  266.    wt: 1:   B Decimal Comparison and Subtraction
  267.    wt: 1:   A Decimal Addition Columm Methods
  268.    wt: 1:   6 Column Methods for Decimal Multiplication
  269.    wt: 1:   5 Distributive Law for Whole Numbers
  270.    wt: 1:   4 Commutative Law Groups Counting Form
  271.    wt: 1:   3 Multiplicative Counting Skills Principles
  272.    wt: 1:   3 Inequalities Algebraically
  273.    wt: 1:   2 Fraction Operations Physical Development
  274.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  275.    wt: 1:   6 Compound Interest Forward and Backwards
  276.    wt: 1:   5 Triangle Area Formula Backwards
  277.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  278.    wt: 1:   2 Linear Equation Literal Solution
  279.    wt: 1:   5 Equality in Algebra
  280.    wt: 1:   4 Subtraction and Division Axioms
  281.    wt: 1:   3 Product Axioms Two Forms
  282.    wt: 1:   13 Real Number Subtraction
  283.    wt: 1:   12 Real Number Additive Inverses or Negatives
  284.    wt: 1:   11 Real Number Addition
  285.    wt: 1:   9 Coordinates for Regions in Space
  286.    wt: 1:   8 Coordinates for Maps and Planes
  287.    wt: 1:   2 Integers
  288.    wt: 1:   3 Geometric Formulas and Function Notation
  289.    wt: 1:   2 Computation Rules Evaluation
  290.    wt: 1:   1 Formulas Dependence and Function Notation
  291.    wt: 1:   3 GE III Equation Addition and Multiplication
  292.    wt: 1:   2 GE II Comparison
  293.    wt: 1:   6 Algebraic Solution Example
  294.    wt: 1:   5 Algebraic Solutions Introduction
  295.    wt: 1:   9 Three Examples
  296.    wt: 1:   6 Three Examples
  297.    wt: 1:   5 Three Examples
  298.    wt: 1:   Using Letters for Physical Quantities
  299.    wt: 1:   13 Naming Identifying Formulas with Words
  300.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  301.    wt: 1:   8 Compound Interest Formula Evaluation
  302.    wt: 1:   7 Compound Interest Formula Introduction
  303.    wt: 1:   5 Box Volume Formula Example
  304.    wt: 1:   4 Circle Area Formula Example
  305.    wt: 1:   3 Triangle Area Formula Example
  306.    wt: 1:   2 Venn Diagrams
  307.    wt: 1:   6 Three Notions of What is a Variable
  308.    wt: 1:   4 A Brief Story of numbers and algebra
  309.    wt: 1:   2 What is a Variable
  310.    wt: 1:   arithmetic videos Real Player Format
  311.    wt: 1:   2 More and Less Than with Unlike Signs
  312.    wt: 1:   1 More and Less Than for Counts and Measures
  313.    wt: 1:   2 Square Roots with Prime
  314.    wt: 1:   2 Least Common Multiple LCM intro via list method
  315.    wt: 1:   2 Counting with Tables and Trees I
  316.    wt: 1:   4 signed coordinates for regions in space
  317.    wt: 1:   3 signed coordinates for maps and planes
  318.    wt: 1:   2 signed and unsigned numbers as coordinates
  319.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  320.    wt: 1:   2 Equality and Units
  321.    wt: 1:   D Three Term Ratios
  322.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  323.    wt: 1:   21 Working With Signs
  324.    wt: 1:   20 Dividing Fractions the Why
  325.    wt: 1:   13 Fraction Comparison Algebraic View
  326.    wt: 1:   12 Fraction Comparison
  327.    wt: 1:   11 Simplification an Algebraic View
  328.    wt: 1:   6 Multiplication Algebraically Take II
  329.    wt: 1:   2 Unit Fraction Multiplication
  330.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  331.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  332.    wt: 1:   13 Subtraction with Additive Inverse
  333.    wt: 1:   12 Adding Integers More Examples
  334.    wt: 1:   11 Adding Integers Formulas and Examples
  335.    wt: 1:   10 Integer Multiplication Formulas
  336.    wt: 1:   8 Multiplication by Signed Numbers Integers
  337.    wt: 1:   7 Multiplication by Signs
  338.    wt: 1:   6 Multiplication by Natural Numbers
  339.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  340.    wt: 1:   21 Remainder Arithmetic Modulo 3
  341.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  342.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  343.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  344.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  345.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  346.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  347.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  348.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  349.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  350.    wt: 1:   20 Uniqueness of Prime Factorization
  351.    wt: 1:   15 video Factors of 20 using Prime Factorization
  352.    wt: 1:   14 video Factors of 24 Take II
  353.    wt: 1:   13 video Factors of 24 using prime
  354.    wt: 1:   12 LCD GCD and LCM using Primes
  355.    wt: 1:   10 video Prime Factorization upto 23 squared
  356.    wt: 1:   2 Prime and Composites less than 16
  357.    wt: 1:   Long Division forwards and backwards Example 3
  358.    wt: 1:   Long Division forwards and backwards Example 1
  359.    wt: 1:   12 Why Long Division Works Take III
  360.    wt: 1:   10 Division by Five Long and Short Ways
  361.    wt: 1:   4 Division with 2 Digit Divsors
  362.    wt: 1:   2 Division with Single Digit Divisors
  363.    wt: 1:   A Elementary Basis for Multiplication Methods
  364.    wt: 1:   4 Two and Three Digit Multipliers
  365.    wt: 1:   2 One Digit Multipliers
  366.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  367.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  368.    wt: 1:   Subtraction with J Conversions Example
  369.    wt: 1:   Subtraction Another Video Lesson
  370.    wt: 1:   8 Subtraction with Units of Measure
  371.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  372.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  373.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  374.    wt: 1:   8 What skills and work habits to require
  375.    wt: 1:   2 Decimal Counting Practices
  376.    wt: 1:   1. Explaining Addition Table
  377.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  378.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  379.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  380.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  381.    wt: 1:   Quick history of numbers and algebra
  382.    wt: 1:   Formula Evaluation how to show work
  383.    wt: 1:   The 20 Times Table
  384.    wt: 1:   The 12 Times Table Visually
  385.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  386.    wt: 1:   011 Division of Time Intervals By Numbers
  387.    wt: 1:   010 Repeated Addition of Time Intervals
  388.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  389.    wt: 1:   8 Addition of Time Intervals via subtotaling
  390.    wt: 1:   7 Addition of Time Intervals
  391.    wt: 1:   2 Time and Date Matters in School
  392.    wt: 1:   1 Intro of Kids To Time Date Skills
  393.    wt: 1:   Example 2 volume of a cone
  394.    wt: 1:   Volume of Solid by Cross Sections Lesson
  395.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  396.    wt: 1:   Example 2
  397.    wt: 1:   Area Between Curves Lesson Take 2
  398.    wt: 1:   2 Indefinite Integrals Exercises
  399.    wt: 1:   2 Second derivative test prequel
  400.    wt: 1:   29 Chain Rule Optional Reading
  401.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  402.    wt: 1:   26 Chain Rule Recognising outer inner functions
  403.    wt: 1:   25 Chain Rule Animated Examples Continued
  404.    wt: 1:   24 Chain Rule Animated Examples
  405.    wt: 1:   23 Chain Rule in general
  406.    wt: 1:   19 Chain Rule for linear functions
  407.    wt: 1:   14 sine and cosine derivatives 2nd step
  408.    wt: 1:   12 Quotient rule examples
  409.    wt: 1:   10 Power rule for negative integers
  410.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  411.    wt: 1:   11 Limits at infinity Three Examples
  412.    wt: 1:   10 Three one sided limits with infinite values
  413.    wt: 1:   7 Evaluation by immediate or delayed substitution
  414.    wt: 1:   3 Decimal insights for limits continuity convergence
  415.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  416.    wt: 1:   F.2 Closed Range Theorem
  417.    wt: 1:   D2 Limits of Monotone Sequences
  418.    wt: 1:   PostScript For and Against Decimal Perspectives
  419.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  420.    wt: 1:   Chapter 23 Links To Trigonometry
  421.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  422.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  423.    wt: 1:   Chapter 12. Units and Slopes
  424.    wt: 1:   Chapter 2. Slopes and Ski Trails
  425.    wt: 1:   Foreword
  426.    wt: 1:   Postscript More on Better Performance
  427.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  428.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  429.    wt: 1:   Chapter 28 Occurrence Tables
  430.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  431.    wt: 1:   Chapter 25. Mathematical Induction Examples
  432.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  433.    wt: 1:   Chapter 21. Third Reading Guide
  434.    wt: 1:   Chapter 20. Degrees and Radians
  435.    wt: 1:   Chapter 12. Shorthand Usage Guide
  436.    wt: 1:   Solutions For Arithmetic Exercises
  437.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  438.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  439.    wt: 1:   Foreword
  440.    wt: 1:   Postscript A Three Remarks
  441.    wt: 1:   Chapter 12 Four Phases
  442.    wt: 1:   Chapter 3 Algebra Difficulties
  443.    wt: 1:   Foreword
  444.    wt: 1:   Postscript C Consistency as a Tool for Reason
  445.    wt: 1:   Chapter 24 Direct and Indirect Reason
  446.    wt: 1:   Chapter 23 Truth Tables
  447.    wt: 1:   Chapter 21 Occurrence Tables
  448.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  449.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  450.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  451.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  452.    wt: 1:   Chapter 2 Skill Development
  453.    wt: 1:   Three Remarks
  454.    wt: 1:   Foreword
  455.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  456.    wt: 1:   S Adding words to algebra
  457.    wt: 1:   R Why Learn Mathematics Skills
  458.    wt: 1:   N Mathematics Prepare for College Studies
  459.    wt: 1:   L Skills with take home value
  460.    wt: 1:   I. Logic and language skills
  461.    wt: 1:   How to Build Skills and Confidence
  462.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  463.    wt: 1:   Chapter 6 More Algebra and Geometry
  464.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  465.    wt: 1:   Chapter 3 Algebra Starter Lessons
  466.    wt: 1:   Chapter 2 Why Sets
  467.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  468.    wt: 1:   7 Games and Activities for Instruction
  469.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  470.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  471.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  472.    wt: 1:   More Algebra and Slope based Calculus Preview
  473.    wt: 1:   Systematic Algebra Skill Development Missing Links
  474.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  475.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  476.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  477.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  478.    wt: 1:   The Math Forum and Site Content

Extended Search

898 matches:

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

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.