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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55 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:   10 Examples of Algebraic Reasoning/
  5.    wt: 4:   8 Unifying Theme For Algebra/
  6.    wt: 4:   Step 3 Easy systems in 2 or more unknowns/
  7.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  8.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  9.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  10.    wt: 3:   9 Proportionality Backwards and Forwards/
  11.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  12.    wt: 3:   D Decimal Long Division Methods/
  13.    wt: 3:   C Decimal Multiplication Methods/
  14.    wt: 3:   A Decimal Counting and Adding Methods/
  15.    wt: 3:   2 Arithmetic with Decimals/
  16.    wt: 3:   Volume 1A Pattern Based Reason/
  17.    wt: 2:   12 Function Translating and Rescaling/
  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: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  31.    wt: 2:   38 Lessons on Calculating Derivatives/
  32.    wt: 2:   Volume 1 Elements of Reason/
  33.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  34.    wt: 1:   Mathematics Skills Year by Year/
  35.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  36.    wt: 1:   4 Functions/
  37.    wt: 1:   3 Quadratics Geometrically/
  38.    wt: 1:   1 Five Polynomial Operations/
  39.    wt: 1:   More Algebra/
  40.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  41.    wt: 1:   1 Maps Plans Measurement/
  42.    wt: 1:   11 Squares and Square Roots/
  43.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  44.    wt: 1:   9 Combinatorics Trees Tables and Products/
  45.    wt: 1:   8 Arithmetic with Signed Numbers/
  46.    wt: 1:   7 Arithmetic and Fractions with Units/
  47.    wt: 1:   6 Fractions and Ratios/
  48.    wt: 1:   5 Integers/
  49.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  50.    wt: 1:   1 Decimal Place Value/
  51.    wt: 1:   Arithmetic and Number Theory Skills/
  52.    wt: 1:   Time Date Matters/
  53.    wt: 1:   Skills with take home value/
  54.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  55.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

483 matches:

  1.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  3.    wt: 4:   26 Formulas for products of sines and cosines
  4.    wt: 4:   12 cis formulas for sine cosines and tangent
  5.    wt: 4:   1 Three Skills For Algebra
  6.    wt: 4:   Chapter 8 Three Skills For Algebra
  7.    wt: 3:   02 21 words for teachers
  8.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  9.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  10.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  11.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  12.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  13.    wt: 3:   21 sine and cosine Half Angle Formulas
  14.    wt: 3:   20 sine and cosine Double Angle Formulas
  15.    wt: 3:   17E Trig Formulas for dot and cross Products
  16.    wt: 3:   17D cis formulas for sine cosines and tangent
  17.    wt: 3:   13 Trig Formulas for dot and cross Products
  18.    wt: 3:   4 Equations for lines three forms
  19.    wt: 3:   2 More and Less Than for Counts and Measures
  20.    wt: 3:   12 GCD 2700 288 via Prime
  21.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  22.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  23.    wt: 3:   2 Subtraction Easy Case Examples
  24.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  25.    wt: 3:   38 Formulas and derivatives for powers and roots
  26.    wt: 3:   22 Chain Rule for polynomials
  27.    wt: 3:   Postscript C Consistency as a Tool for Reason
  28.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  29.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  30.    wt: 2:   Skills Chapter 3 Algebra
  31.    wt: 2:   Skills Chapter 2 Geometry
  32.    wt: 2:   three goals to set for students
  33.    wt: 2:   geometric implications for algebra
  34.    wt: 2:   teaching tutoring algebraic reason
  35.    wt: 2:   three goals for Mathematics Education
  36.    wt: 2:   02 20 mathematics education references
  37.    wt: 2:   three aims for mathematics students
  38.    wt: 2:   formal or informal peer review
  39.    wt: 2:   three kinds of reason in mathematics
  40.    wt: 2:   Prequel In For A Penny In For A Pound
  41.    wt: 2:   2 Conductance Resistance Duality02
  42.    wt: 2:   D Wire Resistance Calculation02
  43.    wt: 2:   C Electromotive force conventional current02
  44.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  45.    wt: 2:   24 Standards For Skill Develoment Take II
  46.    wt: 2:   24 Standards For Skill Develoment
  47.    wt: 2:   22 Student Centered Highschool Mathematics
  48.    wt: 2:   12 Goals and Objectives For Mathematics
  49.    wt: 2:   5 Patience Please for Yourself and Your Charges
  50.    wt: 2:   2 Reading and Writing Skills
  51.    wt: 2:   Ages 12 to 14 Skills with take home value
  52.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  53.    wt: 2:   22 Square Root function graphically
  54.    wt: 2:   16 Increasing or decreasing on intervals
  55.    wt: 2:   5 Function notation for geometric transformations
  56.    wt: 2:   2 Algebraic use of function notation
  57.    wt: 2:   8 quadratics backward use of various formulas
  58.    wt: 2:   Rewriting algebraic substitution as function substitutions
  59.    wt: 2:   12 motivation for term arctan
  60.    wt: 2:   2 Radian Measure Numerical Value of one degree
  61.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  62.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  63.    wt: 2:   17 tangent function angle sum formulas
  64.    wt: 2:   32 seven rows of pascals triangle
  65.    wt: 2:   29 secant cosecant and cotangent for acute angles
  66.    wt: 2:   28 Expressing products of sines cosines as sums
  67.    wt: 2:   25 tangent double angle formula Slope connection
  68.    wt: 2:   24 tangent Angle Difference Formula
  69.    wt: 2:   17C sine and cosine double triple angle formulas
  70.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  71.    wt: 2:   12 Graph of tangent function for one period
  72.    wt: 2:   11 sine and cosine double triple angle formulas
  73.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  74.    wt: 2:   2 Complex Numbers made easier we hope
  75.    wt: 2:   2 point slope equation for a line
  76.    wt: 2:   13 Pythagorean spatial distance formulas
  77.    wt: 2:   2 Measuring Area Directly
  78.    wt: 2:   22 Multiplication of Signed Numbers
  79.    wt: 2:   2 Combing Counts Addition Skills and Principles
  80.    wt: 2:   2 Algebraic View
  81.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  82.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  83.    wt: 2:   3 Geometric Formulas and Function Notation
  84.    wt: 2:   1 Formulas Dependence and Function Notation
  85.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  86.    wt: 2:   2 Essentially one exercises three with solution
  87.    wt: 2:   2 Three Examples
  88.    wt: 2:   2 Three Examples
  89.    wt: 2:   Formula Usage Show Work Format
  90.    wt: 2:   13 Naming Identifying Formulas with Words
  91.    wt: 2:   2 Another Rectangle Area Formula Example
  92.    wt: 2:   1 Written work formats for developing and showing skill
  93.    wt: 2:   1 More and Less Than for Counts and Measures
  94.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  95.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  96.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  97.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  98.    wt: 2:   2 Least Common Multiple LCM intro via list method
  99.    wt: 2:   2 signed and unsigned numbers as coordinates
  100.    wt: 2:   22 Complex Compound Fractions
  101.    wt: 2:   21 Reciprocals for Fractions and Wholes
  102.    wt: 2:   11 Adding Integers Formulas and Examples
  103.    wt: 2:   10 Integer Multiplication Formulas
  104.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  105.    wt: 2:   26 Divisibility by 2 3 5 Example
  106.    wt: 2:   23 Remainder Arithmetic Modulo 2
  107.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  108.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  109.    wt: 2:   Long Division forwards and backwards Example 2
  110.    wt: 2:   A Elementary Basis for Multiplication Methods
  111.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  112.    wt: 2:   9 22 Minute Subtraction Review Video
  113.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  114.    wt: 2:   28 Chain Rule Preparation for a Proof
  115.    wt: 2:   21 Chain Rule for powers
  116.    wt: 2:   20 Chain Rule for Pulley Systems
  117.    wt: 2:   3 Motivation for Limit Definition Take 2
  118.    wt: 2:   2 Motivation for Limit Definition Take 1
  119.    wt: 2:   2 Algebraic codification
  120.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  121.    wt: 2:   E2 Algebraic Properties of Limits
  122.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  123.    wt: 2:   Chapter 22 Complex Numbers
  124.    wt: 2:   Postscript For Better Performance
  125.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  126.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  127.    wt: 2:   Chapter 23. Notation For Sums
  128.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  129.    wt: 2:   Chapter 18. Rules for Algebra
  130.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  131.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  132.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  133.    wt: 2:   Chapter 12 Four Phases
  134.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  135.    wt: 2:   Chapter 2 For and Against Mathematics
  136.    wt: 2:   Chapter 24 Direct and Indirect Reason
  137.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  138.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  139.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  140.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  141.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  142.    wt: 2:   G. Written work formats for developing and showing skill
  143.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  144.    wt: 2:   More Algebra and Slope based Calculus Preview
  145.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  146.    wt: 1:   Appendix 2 primary school Arithmetic 01
  147.    wt: 1:   G LAMP Introduction Problem Solving Skills
  148.    wt: 1:   Skills Chapter 5 Calculus
  149.    wt: 1:   Skills Chapter 4 Logic
  150.    wt: 1:   Ramblings Introduction Algebra Essay
  151.    wt: 1:   Skills Chapter 1 Arithmetic
  152.    wt: 1:   Skills Chapter 0 Introduction
  153.    wt: 1:   4 algebra
  154.    wt: 1:   2 arithmetic with signed numbers
  155.    wt: 1:   permissions for teachers
  156.    wt: 1:   Applied Maths Program14092009 POMME variant
  157.    wt: 1:   activities for students
  158.    wt: 1:   site eurekas
  159.    wt: 1:   Postscript 2007 01 10
  160.    wt: 1:   Education Reform Inconsistencies
  161.    wt: 1:   Secondary Three Mathematics
  162.    wt: 1:   talk the algebra talk
  163.    wt: 1:   three difficulties
  164.    wt: 1:   Lessening Algebra Difficulties
  165.    wt: 1:   the trouble with algebra
  166.    wt: 1:   04 29 New Mathematics Curriculum
  167.    wt: 1:   04 25 when to stop or suspend mathemat
  168.    wt: 1:   standards for course material
  169.    wt: 1:   Different Kinds of Reasoning in maths
  170.    wt: 1:   Four ways to improve education reform
  171.    wt: 1:   need for a mixed mathematics curriculum
  172.    wt: 1:   fairness and inductive principles for instruction
  173.    wt: 1:   words for mathematics instructor
  174.    wt: 1:   chapitre 12 00 les iles et division
  175.    wt: 1:   chapitre 04 02 Deuxieme enigme
  176.    wt: 1:   chapitre 02 00 La Communication des idees
  177.    wt: 1:   2 Energy Power Heat07
  178.    wt: 1:   B Energy Power02
  179.    wt: 1:   F Wire Resistance Calculation04
  180.    wt: 1:   E Wire Resistance Calculation03
  181.    wt: 1:   C Wire Resistance Calculation01
  182.    wt: 1:   B Wire Resistance Qualitative02
  183.    wt: 1:   2 Unlike resistors in parallel01
  184.    wt: 1:   H Series Circuit02
  185.    wt: 1:   B Electromotive force conventional current01
  186.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  187.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  188.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  189.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  190.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  191.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  192.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  193.    wt: 1:   17 Math Booklets for children and young teenagers
  194.    wt: 1:   15 Counting For Parents
  195.    wt: 1:   10 Ends values for work study instruction
  196.    wt: 1:   4 Learning Takes Time and Effort
  197.    wt: 1:   3 Preparing for Science Studies
  198.    wt: 1:   1 Speaking Skills
  199.    wt: 1:   Ages 12 to 14 Geometry
  200.    wt: 1:   Ages 12 to 14 Arithmetic
  201.    wt: 1:   Ages 10 to 12 Geometry
  202.    wt: 1:   Ages 10 to 12 Arithmetic
  203.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  204.    wt: 1:   sign monoticity analysis example 2
  205.    wt: 1:   26 Function definitions done and coming
  206.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  207.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  208.    wt: 1:   23 Inverse Functions
  209.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  210.    wt: 1:   20 Interchanging coordinates a reflection
  211.    wt: 1:   12 Function Domain Recognition Exercises
  212.    wt: 1:   6 Set Existence Formation and Notation
  213.    wt: 1:   3 Formula or function graphing exercise
  214.    wt: 1:   7 quadratic formulla derivation
  215.    wt: 1:   2 quadratics graphing in general
  216.    wt: 1:   5 Natural Logarithm Calculator Exercises
  217.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  218.    wt: 1:   2 Square Root Simplification a prequel
  219.    wt: 1:   1 Calculator Starter Exercises
  220.    wt: 1:   8 Notes for instructors or tutors
  221.    wt: 1:   2 Column Multiplication Method
  222.    wt: 1:   9 motivation for name arcsin
  223.    wt: 1:   4 possible motivation for term arccos
  224.    wt: 1:   2 cosine function more properties
  225.    wt: 1:   8 Radian Measures of Common Angles
  226.    wt: 1:   7 Radian Measures in special Triangles
  227.    wt: 1:   6 Radian Measure to Degrees
  228.    wt: 1:   5 Degrees to Radian Measure
  229.    wt: 1:   12 From Applied To Pure Mathematics
  230.    wt: 1:   2 Signed Coordinates
  231.    wt: 1:   4 graphing y=Asin(x c)
  232.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  233.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  234.    wt: 1:   Straight Lines ASA Intersection Study More
  235.    wt: 1:   Straight Lines ASA Intersection Study
  236.    wt: 1:   14 Straight Lines Equations General Case
  237.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  238.    wt: 1:   12 Straight Lines Graphing mx plus b
  239.    wt: 1:   8 Straight Lines Equation for vertical
  240.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  241.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  242.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  243.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  244.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  245.    wt: 1:   31 basic secant cosecant cotangent trig identities
  246.    wt: 1:   30 unit circle calculation of six trigonometric functions
  247.    wt: 1:   27 Logarithmic use of products of sines and cosines
  248.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  249.    wt: 1:   18 sum of sinusoidal waves as a single wave
  250.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  251.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  252.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  253.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  254.    wt: 1:   2 Quadrant I reference Angles
  255.    wt: 1:   21 Logarithms Powers and Exponentials
  256.    wt: 1:   20 N th Roots of Complex Numbers
  257.    wt: 1:   7 Second Way to Calculate Products
  258.    wt: 1:   5 An Easy Proof of the Distributive Law
  259.    wt: 1:   8 Triangles Cascade Problem Solving
  260.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  261.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  262.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  263.    wt: 1:   1 Angle Measurement with Degrees
  264.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  265.    wt: 1:   12 Triangles Similarity More Problems
  266.    wt: 1:   6 Geometric Diagrams in Class
  267.    wt: 1:   2 Similarity By Design
  268.    wt: 1:   12 Links Lessons elsewhere
  269.    wt: 1:   8 Mid Point Formula
  270.    wt: 1:   7 Exercises to test skill and concept mastery
  271.    wt: 1:   5 Algebraic View of Slopes
  272.    wt: 1:   3 Slope product for perpendicular lines
  273.    wt: 1:   12 Spatial Coordinates
  274.    wt: 1:   10 Pythagorean plane distance formula
  275.    wt: 1:   2 Cartesian Coordinates with signs
  276.    wt: 1:   PS H Distributive Law For Complex Numbers
  277.    wt: 1:   21 Parallelograms
  278.    wt: 1:   12 Side Angle Side Failure
  279.    wt: 1:   6 Ruler and compass Angle Bisection
  280.    wt: 1:   2 Correspondence between Triangles
  281.    wt: 1:   A Measurement with Ruler Proper Use
  282.    wt: 1:   3 Lengths and Areas on Maps and Plans
  283.    wt: 1:   1 Length Measurement
  284.    wt: 1:   26 More Less Greater Than Comparison
  285.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  286.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  287.    wt: 1:   23 Distributive Law Two Derivations
  288.    wt: 1:   21 Addition of Multiples of a Single Vector
  289.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  290.    wt: 1:   15 Head to Tails in place Addition Associative
  291.    wt: 1:   12 Real Numbers Line Signed Coordinates
  292.    wt: 1:   2 Counting Digits in Decimal Multiplication
  293.    wt: 1:   C Three Decimal Subtraction Methods
  294.    wt: 1:   6 Column Methods for Decimal Multiplication
  295.    wt: 1:   5 Distributive Law for Whole Numbers
  296.    wt: 1:   4 Commutative Law Groups Counting Form
  297.    wt: 1:   3 Multiplicative Counting Skills Principles
  298.    wt: 1:   5 Areas of Rectangles Revisited
  299.    wt: 1:   3 Inequalities Algebraically
  300.    wt: 1:   2 Fraction Operations Physical Development
  301.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  302.    wt: 1:   6 Compound Interest Forward and Backwards
  303.    wt: 1:   5 Triangle Area Formula Backwards
  304.    wt: 1:   2 Linear Equation Literal Solution
  305.    wt: 1:   1 Changing Calculations
  306.    wt: 1:   5 Equality in Algebra
  307.    wt: 1:   3 Product Axioms Two Forms
  308.    wt: 1:   2 Addition and Multiplication Axioms
  309.    wt: 1:   12 Real Number Additive Inverses or Negatives
  310.    wt: 1:   9 Coordinates for Regions in Space
  311.    wt: 1:   8 Coordinates for Maps and Planes
  312.    wt: 1:   7 Real Numbers as Line Cordinates
  313.    wt: 1:   2 Integers
  314.    wt: 1:   2 Computation Rules Evaluation
  315.    wt: 1:   2 GE II Comparison
  316.    wt: 1:   6 Algebraic Solution Example
  317.    wt: 1:   5 Algebraic Solutions Introduction
  318.    wt: 1:   9 Three Examples
  319.    wt: 1:   6 Three Examples
  320.    wt: 1:   5 Three Examples
  321.    wt: 1:   Using Letters for Physical Quantities
  322.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  323.    wt: 1:   8 Compound Interest Formula Evaluation
  324.    wt: 1:   7 Compound Interest Formula Introduction
  325.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  326.    wt: 1:   5 Box Volume Formula Example
  327.    wt: 1:   4 Circle Area Formula Example
  328.    wt: 1:   3 Triangle Area Formula Example
  329.    wt: 1:   2 Venn Diagrams
  330.    wt: 1:   6 Three Notions of What is a Variable
  331.    wt: 1:   4 A Brief Story of numbers and algebra
  332.    wt: 1:   2 What is a Variable
  333.    wt: 1:   arithmetic videos Real Player Format
  334.    wt: 1:   2 More and Less Than with Unlike Signs
  335.    wt: 1:   2 Square Roots with Prime
  336.    wt: 1:   1 Least Common Multiples LCM Introduction
  337.    wt: 1:   2 Counting with Tables and Trees I
  338.    wt: 1:   4 signed coordinates for regions in space
  339.    wt: 1:   3 signed coordinates for maps and planes
  340.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  341.    wt: 1:   2 Equality and Units
  342.    wt: 1:   D Three Term Ratios
  343.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  344.    wt: 1:   21 Working With Signs
  345.    wt: 1:   20 Dividing Fractions the Why
  346.    wt: 1:   13 Fraction Comparison Algebraic View
  347.    wt: 1:   12 Fraction Comparison
  348.    wt: 1:   11 Simplification an Algebraic View
  349.    wt: 1:   6 Multiplication Algebraically Take II
  350.    wt: 1:   2 Unit Fraction Multiplication
  351.    wt: 1:   A Associative Law Theorectical Note
  352.    wt: 1:   12 Adding Integers More Examples
  353.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  354.    wt: 1:   1 Integers as Coordinates
  355.    wt: 1:   21 Remainder Arithmetic Modulo 3
  356.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  357.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  358.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  359.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  360.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  361.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  362.    wt: 1:   20 Uniqueness of Prime Factorization
  363.    wt: 1:   15 video Factors of 20 using Prime Factorization
  364.    wt: 1:   14 video Factors of 24 Take II
  365.    wt: 1:   13 video Factors of 24 using prime
  366.    wt: 1:   12 LCD GCD and LCM using Primes
  367.    wt: 1:   10 video Prime Factorization upto 23 squared
  368.    wt: 1:   7 Calculator Usage Notes and Cautions
  369.    wt: 1:   2 Prime and Composites less than 16
  370.    wt: 1:   Long Division forwards and backwards Example 3
  371.    wt: 1:   Long Division forwards and backwards Example 1
  372.    wt: 1:   12 Why Long Division Works Take III
  373.    wt: 1:   4 Division with 2 Digit Divsors
  374.    wt: 1:   2 Division with Single Digit Divisors
  375.    wt: 1:   C Counting Areas with Powers of Ten
  376.    wt: 1:   4 Two and Three Digit Multipliers
  377.    wt: 1:   2 One Digit Multipliers
  378.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  379.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  380.    wt: 1:   8 Subtraction with Units of Measure
  381.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  382.    wt: 1:   5 A Tip for Efficent Subtraction
  383.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  384.    wt: 1:   8 What skills and work habits to require
  385.    wt: 1:   2 Decimal Counting Practices
  386.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  387.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  388.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  389.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  390.    wt: 1:   Quick history of numbers and algebra
  391.    wt: 1:   Formula Evaluation how to show work
  392.    wt: 1:   The 20 Times Table
  393.    wt: 1:   The 12 Times Table Visually
  394.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  395.    wt: 1:   012 Division of Time Intervals by Time Intervals
  396.    wt: 1:   2 Time and Date Matters in School
  397.    wt: 1:   1 Intro of Kids To Time Date Skills
  398.    wt: 1:   Example 2 volume of a cone
  399.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  400.    wt: 1:   Example 2
  401.    wt: 1:   Area Between Curves Lesson Take 2
  402.    wt: 1:   2 Indefinite Integrals Exercises
  403.    wt: 1:   2 Second derivative test prequel
  404.    wt: 1:   29 Chain Rule Optional Reading
  405.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  406.    wt: 1:   26 Chain Rule Recognising outer inner functions
  407.    wt: 1:   25 Chain Rule Animated Examples Continued
  408.    wt: 1:   24 Chain Rule Animated Examples
  409.    wt: 1:   23 Chain Rule in general
  410.    wt: 1:   19 Chain Rule for linear functions
  411.    wt: 1:   14 sine and cosine derivatives 2nd step
  412.    wt: 1:   12 Quotient rule examples
  413.    wt: 1:   10 Power rule for negative integers
  414.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  415.    wt: 1:   11 Limits at infinity Three Examples
  416.    wt: 1:   10 Three one sided limits with infinite values
  417.    wt: 1:   3 Decimal insights for limits continuity convergence
  418.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  419.    wt: 1:   F.2 Closed Range Theorem
  420.    wt: 1:   D2 Limits of Monotone Sequences
  421.    wt: 1:   B3 Bolzano Weierstrass Theorem
  422.    wt: 1:   PostScript For and Against Decimal Perspectives
  423.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  424.    wt: 1:   Chapter 23 Links To Trigonometry
  425.    wt: 1:   Chapter 21 Arrow Addition
  426.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  427.    wt: 1:   Chapter 18. Slopes Areas Integration
  428.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  429.    wt: 1:   Chapter 12. Units and Slopes
  430.    wt: 1:   Chapter 2. Slopes and Ski Trails
  431.    wt: 1:   Foreword
  432.    wt: 1:   Postscript More on Better Performance
  433.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  434.    wt: 1:   Chapter 31 Direct and Indirect Reason
  435.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  436.    wt: 1:   Chapter 28 Occurrence Tables
  437.    wt: 1:   Chapter 25. Mathematical Induction Examples
  438.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  439.    wt: 1:   Chapter 21. Third Reading Guide
  440.    wt: 1:   Chapter 20. Degrees and Radians
  441.    wt: 1:   Chapter 12. Shorthand Usage Guide
  442.    wt: 1:   Chapter 10 Describing and Changing Calculations
  443.    wt: 1:   Solutions For Arithmetic Exercises
  444.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  445.    wt: 1:   Chapter 4 Longer Chains of Reason
  446.    wt: 1:   Chapter 3 Chains of Reason
  447.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  448.    wt: 1:   Foreword
  449.    wt: 1:   Postscript A Three Remarks
  450.    wt: 1:   Chapter 3 Algebra Difficulties
  451.    wt: 1:   Foreword
  452.    wt: 1:   Postscript B More on Story Telling and Reason
  453.    wt: 1:   Chapter 23 Truth Tables
  454.    wt: 1:   Chapter 21 Occurrence Tables
  455.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  456.    wt: 1:   Chapter 7 Longer Chains of Reason
  457.    wt: 1:   Chapter 6 Chains of Reason
  458.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  459.    wt: 1:   Chapter 2 Skill Development
  460.    wt: 1:   Three Remarks
  461.    wt: 1:   Foreword
  462.    wt: 1:   S Adding words to algebra
  463.    wt: 1:   R Why Learn Mathematics Skills
  464.    wt: 1:   N Mathematics Prepare for College Studies
  465.    wt: 1:   L Skills with take home value
  466.    wt: 1:   I. Logic and language skills
  467.    wt: 1:   A. Skill has to be seen to believed
  468.    wt: 1:   How to Build Skills and Confidence
  469.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  470.    wt: 1:   Chapter 6 More Algebra and Geometry
  471.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  472.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  473.    wt: 1:   Chapter 3 Algebra Starter Lessons
  474.    wt: 1:   Chapter 2 Why Sets
  475.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  476.    wt: 1:   7 Games and Activities for Instruction
  477.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  478.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  479.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  480.    wt: 1:   Systematic Algebra Skill Development Missing Links
  481.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  482.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  483.    wt: 1:   The Math Forum and Site Content

Extended Search

916 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  3.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  4.    wt: 9:   Chapter 23. Notation For Sums
  5.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  6.    wt: 8:   2 Subtraction Easy Case Examples
  7.    wt: 8:   Postscript For Better Performance
  8.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  9.    wt: 8:   Chapter 28 Occurrence Tables
  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:   22 sine of 22.5 degrees via half angle formulas
  19.    wt: 7:   2 Essentially one exercises three with solution
  20.    wt: 7:   6 Algebraic Solution Example
  21.    wt: 7:   5 Algebraic Solutions Introduction
  22.    wt: 7:   13 Naming Identifying Formulas with Words
  23.    wt: 7:   2 Another Rectangle Area Formula Example
  24.    wt: 7:   1 Written work formats for developing and showing skill
  25.    wt: 7:   Postscript More on Better Performance
  26.    wt: 7:   Appendix B. How To Learn
  27.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  28.    wt: 7:   Chapter 31 Direct and Indirect Reason
  29.    wt: 7:   Chapter 10 Describing and Changing Calculations
  30.    wt: 7:   Solutions For Arithmetic Exercises
  31.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  32.    wt: 7:   Chapter 4 Longer Chains of Reason
  33.    wt: 7:   Chapter 3 Chains of Reason
  34.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  35.    wt: 7:   Foreword
  36.    wt: 7:   Postscript C Consistency as a Tool for Reason
  37.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  38.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  39.    wt: 6:   8 Formulas for Fractional Exponents with Logarithms
  40.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  41.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  42.    wt: 6:   2 Algebraic View
  43.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  44.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  45.    wt: 6:   4 Four Examples Fractional Coefficients
  46.    wt: 6:   3 Four Examples
  47.    wt: 6:   1 Proper Equal Sign Usage
  48.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  49.    wt: 6:   8 Compound Interest Formula Evaluation
  50.    wt: 6:   7 Compound Interest Formula Introduction
  51.    wt: 6:   6 Pythagorean Hypotenuse Calculation Example
  52.    wt: 6:   5 Box Volume Formula Example
  53.    wt: 6:   4 Circle Area Formula Example
  54.    wt: 6:   3 Triangle Area Formula Example
  55.    wt: 6:   1 Three Skills For Algebra
  56.    wt: 6:   Long Division forwards and backwards Example 2
  57.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  58.    wt: 6:   9 22 Minute Subtraction Review Video
  59.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  60.    wt: 6:   Appendix E. How To Study Mathematics and Why
  61.    wt: 6:   Appendix D. What to do in School and Why
  62.    wt: 6:   Appendix C. How to Read
  63.    wt: 6:   Chapter 30 Truth Tables
  64.    wt: 6:   Chapter 19. Functions and Sets
  65.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  66.    wt: 6:   Chapter 16. Painless Theorem Proving
  67.    wt: 6:   Chapter 15. Solving Linear Equations
  68.    wt: 6:   Chapter 13. Second Reading Guide
  69.    wt: 6:   Chapter 11. Why Shorthand
  70.    wt: 6:   Postscript What is a Variable
  71.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  72.    wt: 6:   Chapter 6 Change of Language
  73.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  74.    wt: 6:   Chapter 24 Direct and Indirect Reason
  75.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  76.    wt: 6:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  77.    wt: 5:   22 Square Root function graphically
  78.    wt: 5:   2 Square Root Simplification a prequel
  79.    wt: 5:   26 Formulas for products of sines and cosines
  80.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  81.    wt: 5:   12 cis formulas for sine cosines and tangent
  82.    wt: 5:   PS H Distributive Law For Complex Numbers
  83.    wt: 5:   PS B Parallelogram Construction Methods
  84.    wt: 5:   21 Parallelograms
  85.    wt: 5:   12 Side Angle Side Failure
  86.    wt: 5:   2 Correspondence between Triangles
  87.    wt: 5:   2 Combing Counts Addition Skills and Principles
  88.    wt: 5:   5 Areas of Rectangles Revisited
  89.    wt: 5:   3 Inequalities Algebraically
  90.    wt: 5:   2 Fraction Operations Physical Development
  91.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  92.    wt: 5:   6 Compound Interest Forward and Backwards
  93.    wt: 5:   5 Triangle Area Formula Backwards
  94.    wt: 5:   2 Linear Equation Literal Solution
  95.    wt: 5:   1 Changing Calculations
  96.    wt: 5:   2 More and Less Than for Counts and Measures
  97.    wt: 5:   2 Three Examples
  98.    wt: 5:   11 Volume of Sphere
  99.    wt: 5:   10 Volume of Pyramid
  100.    wt: 5:   9 Volume of Cone
  101.    wt: 5:   2 More and Less Than with Unlike Signs
  102.    wt: 5:   1 More and Less Than for Counts and Measures
  103.    wt: 5:   Long Division forwards and backwards Example 3
  104.    wt: 5:   12 Why Long Division Works Take III
  105.    wt: 5:   2 Division with Single Digit Divisors
  106.    wt: 5:   A Elementary Basis for Multiplication Methods
  107.    wt: 5:   2 One Digit Multipliers
  108.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  109.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  110.    wt: 5:   Video Power Notation in Decimal Expansion
  111.    wt: 5:   8 Subtraction with Units of Measure
  112.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  113.    wt: 5:   5 A Tip for Efficent Subtraction
  114.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  115.    wt: 5:   2 Decimal Counting Practices
  116.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  117.    wt: 5:   38 Formulas and derivatives for powers and roots
  118.    wt: 5:   22 Chain Rule for polynomials
  119.    wt: 5:   21 Chain Rule for powers
  120.    wt: 5:   Postscript B More on Story Telling and Reason
  121.    wt: 5:   Chapter 23 Truth Tables
  122.    wt: 5:   Chapter 21 Occurrence Tables
  123.    wt: 5:   Chapter 19 What is in chapters 20 to 24
  124.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  125.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  126.    wt: 5:   Chapter 2 Skill Development
  127.    wt: 5:   Three Remarks
  128.    wt: 4:   three goals for Mathematics Education
  129.    wt: 4:   02 21 words for teachers
  130.    wt: 4:   22 Student Centered Highschool Mathematics
  131.    wt: 4:   Ages 12 to 14 Skills with take home value
  132.    wt: 4:   2 Algebraic use of function notation
  133.    wt: 4:   5 Natural Logarithm Calculator Exercises
  134.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  135.    wt: 4:   1 Calculator Starter Exercises
  136.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  137.    wt: 4:   21 sine and cosine Half Angle Formulas
  138.    wt: 4:   PS G Rotation Distributes over Addition
  139.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  140.    wt: 4:   PS E Multiplication with Polar Coordinates
  141.    wt: 4:   PS D Addition with Cartesian Coordinates
  142.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  143.    wt: 4:   PS A Kite Construction Methods
  144.    wt: 4:   6 Ruler and compass Angle Bisection
  145.    wt: 4:   22 Multiplication of Signed Numbers
  146.    wt: 4:   21 Addition of Multiples of a Single Vector
  147.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  148.    wt: 4:   15 Head to Tails in place Addition Associative
  149.    wt: 4:   12 Real Numbers Line Signed Coordinates
  150.    wt: 4:   4 Fraction Operations Axiomatic Development
  151.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  152.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  153.    wt: 4:   3 Linear Equation Literal Solution More
  154.    wt: 4:   12 Real Number Additive Inverses or Negatives
  155.    wt: 4:   3 Geometric Formulas and Function Notation
  156.    wt: 4:   1 Formulas Dependence and Function Notation
  157.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  158.    wt: 4:   2 GE II Comparison
  159.    wt: 4:   4 Solving a triangular system exercise
  160.    wt: 4:   3 Solving triangular system example
  161.    wt: 4:   1 Essentially One Unknown
  162.    wt: 4:   Formula Usage Show Work Format
  163.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  164.    wt: 4:   12 GCD 2700 288 via Prime
  165.    wt: 4:   2 signed and unsigned numbers as coordinates
  166.    wt: 4:   22 Complex Compound Fractions
  167.    wt: 4:   21 Reciprocals for Fractions and Wholes
  168.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  169.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  170.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  171.    wt: 4:   20 Uniqueness of Prime Factorization
  172.    wt: 4:   12 LCD GCD and LCM using Primes
  173.    wt: 4:   2 Prime and Composites less than 16
  174.    wt: 4:   Long Division Backwards more
  175.    wt: 4:   Long Division Backward
  176.    wt: 4:   Long Division forwards and backwards Example 1
  177.    wt: 4:   4 Division with 2 Digit Divsors
  178.    wt: 4:   C Counting Areas with Powers of Ten
  179.    wt: 4:   4 Two and Three Digit Multipliers
  180.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  181.    wt: 4:   Subtraction with J Conversions Example
  182.    wt: 4:   Subtraction Another Video Lesson
  183.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  184.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  185.    wt: 4:   8 What skills and work habits to require
  186.    wt: 4:   28 Chain Rule Preparation for a Proof
  187.    wt: 4:   20 Chain Rule for Pulley Systems
  188.    wt: 4:   10 Power rule for negative integers
  189.    wt: 4:   4 Sum Rule
  190.    wt: 4:   3 Motivation for Limit Definition Take 2
  191.    wt: 4:   2 Motivation for Limit Definition Take 1
  192.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  193.    wt: 4:   Chapter 22 Complex Numbers
  194.    wt: 4:   Chapter 12 Four Phases
  195.    wt: 4:   Chapter 2 For and Against Mathematics
  196.    wt: 4:   Postscript D Reflections on Law of the Excluded Middle
  197.    wt: 4:   Postscript A Story Telling
  198.    wt: 4:   Chapter 7 Longer Chains of Reason
  199.    wt: 4:   Chapter 6 Chains of Reason
  200.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  201.    wt: 4:   Foreword
  202.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  203.    wt: 3:   Skills Chapter 2 Geometry
  204.    wt: 3:   2 arithmetic with signed numbers
  205.    wt: 3:   geometric implications for algebra
  206.    wt: 3:   teaching tutoring algebraic reason
  207.    wt: 3:   Lessening Algebra Difficulties
  208.    wt: 3:   the trouble with algebra
  209.    wt: 3:   02 20 mathematics education references
  210.    wt: 3:   three aims for mathematics students
  211.    wt: 3:   three kinds of reason in mathematics
  212.    wt: 3:   Prequel In For A Penny In For A Pound
  213.    wt: 3:   B Energy Power02
  214.    wt: 3:   2 Conductance Resistance Duality02
  215.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  216.    wt: 3:   24 Standards For Skill Develoment Take II
  217.    wt: 3:   24 Standards For Skill Develoment
  218.    wt: 3:   12 Goals and Objectives For Mathematics
  219.    wt: 3:   2 Reading and Writing Skills
  220.    wt: 3:   Ages 12 to 14 Geometry
  221.    wt: 3:   Ages 12 to 14 Arithmetic
  222.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  223.    wt: 3:   sign monoticity analysis example 2
  224.    wt: 3:   26 Function definitions done and coming
  225.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  226.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  227.    wt: 3:   23 Inverse Functions
  228.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  229.    wt: 3:   20 Interchanging coordinates a reflection
  230.    wt: 3:   16 Increasing or decreasing on intervals
  231.    wt: 3:   12 Function Domain Recognition Exercises
  232.    wt: 3:   5 Function notation for geometric transformations
  233.    wt: 3:   8 quadratics backward use of various formulas
  234.    wt: 3:   11 Growth and Decay in Biology
  235.    wt: 3:   10 Exponential Growth and Decay Models
  236.    wt: 3:   Rewriting algebraic substitution as function substitutions
  237.    wt: 3:   12 motivation for term arctan
  238.    wt: 3:   4 graphing y=Asin(x c)
  239.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  240.    wt: 3:   8 Straight Lines Equation for vertical
  241.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  242.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  243.    wt: 3:   29 secant cosecant and cotangent for acute angles
  244.    wt: 3:   28 Expressing products of sines cosines as sums
  245.    wt: 3:   25 tangent double angle formula Slope connection
  246.    wt: 3:   24 tangent Angle Difference Formula
  247.    wt: 3:   20 sine and cosine Double Angle Formulas
  248.    wt: 3:   17E Trig Formulas for dot and cross Products
  249.    wt: 3:   17D cis formulas for sine cosines and tangent
  250.    wt: 3:   13 Trig Formulas for dot and cross Products
  251.    wt: 3:   2 Complex Numbers made easier we hope
  252.    wt: 3:   4 Equations for lines three forms
  253.    wt: 3:   2 point slope equation for a line
  254.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  255.    wt: 3:   19 Right Triangle Similarity
  256.    wt: 3:   18 Triangle Similarity Take 1
  257.    wt: 3:   17 Right Bisectors of Triangle Sides
  258.    wt: 3:   16 Angles Subtended By Chords and Diameters
  259.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  260.    wt: 3:   14 Parallel Lines Postulate
  261.    wt: 3:   13 Angle Side Angle Failure
  262.    wt: 3:   11 Triangle Construction Fails
  263.    wt: 3:   10 Dropping a perpendicular to line
  264.    wt: 3:   9 Construction of a right bisector
  265.    wt: 3:   8 Isoceles Triangles
  266.    wt: 3:   7 Angle Side Angle
  267.    wt: 3:   5 Side Angle Side
  268.    wt: 3:   4 Side Side Side
  269.    wt: 3:   3 Isometry of Triangles Congruence
  270.    wt: 3:   1 Initial Concepts and Terms
  271.    wt: 3:   Short Course on Euclidean Geometry
  272.    wt: 3:   2 Measuring Area Directly
  273.    wt: 3:   26 More Less Greater Than Comparison
  274.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  275.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  276.    wt: 3:   23 Distributive Law Two Derivations
  277.    wt: 3:   19 Signed Multiples of Vectors
  278.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  279.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  280.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  281.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  282.    wt: 3:   13 Arrows and Vectors in a Plane
  283.    wt: 3:   11 Signed Number Addition and Addition Properties
  284.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  285.    wt: 3:   2 Counting Digits in Decimal Multiplication
  286.    wt: 3:   C Three Decimal Subtraction Methods
  287.    wt: 3:   6 Column Methods for Decimal Multiplication
  288.    wt: 3:   5 Distributive Law for Whole Numbers
  289.    wt: 3:   4 Commutative Law Groups Counting Form
  290.    wt: 3:   3 Multiplicative Counting Skills Principles
  291.    wt: 3:   5 Proportionality in Equivalent Fractions
  292.    wt: 3:   4 Rates Ratios and Proporitionality
  293.    wt: 3:   3 Proportionality Examples
  294.    wt: 3:   1 What is Proportionality
  295.    wt: 3:   5 Equality in Algebra
  296.    wt: 3:   3 Product Axioms Two Forms
  297.    wt: 3:   2 Addition and Multiplication Axioms
  298.    wt: 3:   16 Real Numbers Comparison
  299.    wt: 3:   15 Real Number Division
  300.    wt: 3:   14 Real Number Multiplication
  301.    wt: 3:   13 Real Number Subtraction
  302.    wt: 3:   11 Real Number Addition
  303.    wt: 3:   10 Real Number Lengths and Signs
  304.    wt: 3:   9 Coordinates for Regions in Space
  305.    wt: 3:   8 Coordinates for Maps and Planes
  306.    wt: 3:   7 Real Numbers as Line Cordinates
  307.    wt: 3:   2 Integers
  308.    wt: 3:   2 Computation Rules Evaluation
  309.    wt: 3:   9 Three Examples
  310.    wt: 3:   6 Three Examples
  311.    wt: 3:   5 Three Examples
  312.    wt: 3:   Using Letters for Physical Quantities
  313.    wt: 3:   2 Venn Diagrams
  314.    wt: 3:   6 Three Notions of What is a Variable
  315.    wt: 3:   4 A Brief Story of numbers and algebra
  316.    wt: 3:   2 What is a Variable
  317.    wt: 3:   4 Greater More Less Than Signs in General
  318.    wt: 3:   3 Comparison of Negative Numbers
  319.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  320.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  321.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  322.    wt: 3:   2 Least Common Multiple LCM intro via list method
  323.    wt: 3:   3 signed coordinates for maps and planes
  324.    wt: 3:   21 Working With Signs
  325.    wt: 3:   20 Dividing Fractions the Why
  326.    wt: 3:   2 Unit Fraction Multiplication
  327.    wt: 3:   12 Adding Integers More Examples
  328.    wt: 3:   11 Adding Integers Formulas and Examples
  329.    wt: 3:   10 Integer Multiplication Formulas
  330.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  331.    wt: 3:   26 Divisibility by 2 3 5 Example
  332.    wt: 3:   23 Remainder Arithmetic Modulo 2
  333.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  334.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  335.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  336.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  337.    wt: 3:   15 video Factors of 20 using Prime Factorization
  338.    wt: 3:   14 video Factors of 24 Take II
  339.    wt: 3:   13 video Factors of 24 using prime
  340.    wt: 3:   10 video Prime Factorization upto 23 squared
  341.    wt: 3:   7 Calculator Usage Notes and Cautions
  342.    wt: 3:   Division with Counts and Length
  343.    wt: 3:   11 Another Single Digit Divisor Example
  344.    wt: 3:   10 Division by Five Long and Short Ways
  345.    wt: 3:   9 Why Long Division Works Take II
  346.    wt: 3:   8 Correcting the Mistake
  347.    wt: 3:   7 Long Divison Mistake Catching
  348.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  349.    wt: 3:   5 Long Division Include Zeroes or not
  350.    wt: 3:   3 Division Single Digit Divisor Example
  351.    wt: 3:   1 Divsion Physical Examples
  352.    wt: 3:   D Decimal Multiplication Methods Derived
  353.    wt: 3:   B Powers of Ten
  354.    wt: 3:   6 Multiplication Commutes Order Not Important
  355.    wt: 3:   5 Decimal Fraction Multiplication
  356.    wt: 3:   3 More One Digit Multipliers
  357.    wt: 3:   1 Why 3 times 5 gives 15
  358.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  359.    wt: 3:   7 Adding decimal fractions using decimal point
  360.    wt: 3:   6. Counting and adding units and mixed units
  361.    wt: 3:   5. How to add decimals C. Examples
  362.    wt: 3:   4. How to add with decimals B with conversions
  363.    wt: 3:   3. How to add with decimals A sans conversions
  364.    wt: 3:   1. Explaining Addition Table
  365.    wt: 3:   The 20 Times Table
  366.    wt: 3:   Example 2 volume of a cone
  367.    wt: 3:   Example 1. Area Between x and x squared
  368.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  369.    wt: 3:   Example 3
  370.    wt: 3:   Example 2
  371.    wt: 3:   Area Between Curves Lesson Take 2
  372.    wt: 3:   A Chain Rule Real Player video examples
  373.    wt: 3:   30Chain Rule A Proof
  374.    wt: 3:   29 Chain Rule Optional Reading
  375.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  376.    wt: 3:   26 Chain Rule Recognising outer inner functions
  377.    wt: 3:   25 Chain Rule Animated Examples Continued
  378.    wt: 3:   24 Chain Rule Animated Examples
  379.    wt: 3:   23 Chain Rule in general
  380.    wt: 3:   19 Chain Rule for linear functions
  381.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  382.    wt: 3:   14 sine and cosine derivatives 2nd step
  383.    wt: 3:   12 Quotient rule examples
  384.    wt: 3:   11 Quotient rule
  385.    wt: 3:   9 Reciprocal rule
  386.    wt: 3:   8 Differentiation of polynomials
  387.    wt: 3:   7 Animated Differentiation Examples
  388.    wt: 3:   6 Power rule from product rule
  389.    wt: 3:   5 Product Rule
  390.    wt: 3:   2 Algebraic codification
  391.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  392.    wt: 3:   Chapter 18 Sense and Knowledge
  393.    wt: 3:   Chapter 17 Objective Ways Trial and Error Discovery
  394.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  395.    wt: 3:   Chapter 15 Objective Processes
  396.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  397.    wt: 3:   Chapter 11 Accidental Patterns
  398.    wt: 3:   Chapter 10 Responsibility
  399.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  400.    wt: 3:   Chapter 8 Change of Language
  401.    wt: 3:   Chapter 5 Deception
  402.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  403.    wt: 3:   Chapter 1 Introduction
  404.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  405.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  406.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  407.    wt: 2:   Skills Chapter 3 Algebra
  408.    wt: 2:   4 algebra
  409.    wt: 2:   three goals to set for students
  410.    wt: 2:   Applied Maths Program14092009 POMME variant
  411.    wt: 2:   Secondary Three Mathematics
  412.    wt: 2:   talk the algebra talk
  413.    wt: 2:   three difficulties
  414.    wt: 2:   04 29 New Mathematics Curriculum
  415.    wt: 2:   04 25 when to stop or suspend mathemat
  416.    wt: 2:   formal or informal peer review
  417.    wt: 2:   fairness and inductive principles for instruction
  418.    wt: 2:   2 Energy Power Heat07
  419.    wt: 2:   D Wire Resistance Calculation02
  420.    wt: 2:   C Electromotive force conventional current02
  421.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  422.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  423.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  424.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  425.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  426.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  427.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  428.    wt: 2:   5 Patience Please for Yourself and Your Charges
  429.    wt: 2:   Ages 10 to 12 Geometry
  430.    wt: 2:   Ages 10 to 12 Arithmetic
  431.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  432.    wt: 2:   6 Set Existence Formation and Notation
  433.    wt: 2:   3 Formula or function graphing exercise
  434.    wt: 2:   7 quadratic formulla derivation
  435.    wt: 2:   2 quadratics graphing in general
  436.    wt: 2:   8 Notes for instructors or tutors
  437.    wt: 2:   2 Column Multiplication Method
  438.    wt: 2:   2 Radian Measure Numerical Value of one degree
  439.    wt: 2:   12 From Applied To Pure Mathematics
  440.    wt: 2:   2 Signed Coordinates
  441.    wt: 2:   3 graphing y=f(x c) plus K
  442.    wt: 2:   1 graphing y=f(x a)
  443.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  444.    wt: 2:   Straight Lines ASA Intersection Study More
  445.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  446.    wt: 2:   C Straight Lines Slope from Coordinates
  447.    wt: 2:   B Straight Line Slope Scaling Properties More
  448.    wt: 2:   A Straight Line Slope Scaling Properties
  449.    wt: 2:   14 Straight Lines Equations General Case
  450.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  451.    wt: 2:   12 Straight Lines Graphing mx plus b
  452.    wt: 2:   11 Straight Lines Graphing y=mx
  453.    wt: 2:   7 Tangent Function is odd on this domain
  454.    wt: 2:   5 Tangent Function Graph
  455.    wt: 2:   4 Tangent Function Properties
  456.    wt: 2:   17 tangent function angle sum formulas
  457.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  458.    wt: 2:   32 seven rows of pascals triangle
  459.    wt: 2:   30 unit circle calculation of six trigonometric functions
  460.    wt: 2:   27 Logarithmic use of products of sines and cosines
  461.    wt: 2:   17C sine and cosine double triple angle formulas
  462.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  463.    wt: 2:   12 Graph of tangent function for one period
  464.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  465.    wt: 2:   21 Logarithms Powers and Exponentials
  466.    wt: 2:   20 N th Roots of Complex Numbers
  467.    wt: 2:   11 sine and cosine double triple angle formulas
  468.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  469.    wt: 2:   8 Triangles Cascade Problem Solving
  470.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  471.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  472.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  473.    wt: 2:   12 Triangles Similarity More Problems
  474.    wt: 2:   2 Similarity By Design
  475.    wt: 2:   12 Links Lessons elsewhere
  476.    wt: 2:   13 Pythagorean spatial distance formulas
  477.    wt: 2:   12 Spatial Coordinates
  478.    wt: 2:   2 Cartesian Coordinates with signs
  479.    wt: 2:   A Measurement with Ruler Proper Use
  480.    wt: 2:   3 Lengths and Areas on Maps and Plans
  481.    wt: 2:   1 Length Measurement
  482.    wt: 2:   musings do not puiblish real numbers
  483.    wt: 2:   A Modular and Remainder Arithmetic
  484.    wt: 2:   A Signed Number Arithmetic Review
  485.    wt: 2:   9 Division with Digits after Decimal Point
  486.    wt: 2:   8 Division and Mulplication of Compound Fractions
  487.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  488.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  489.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  490.    wt: 2:   4 Location of Point in Decimal Addition
  491.    wt: 2:   3 Location of Point in Decimal Multiplication
  492.    wt: 2:   1 Fractions with Finite Decimal Expansions
  493.    wt: 2:   E Long Division Methods more
  494.    wt: 2:   D Long Division Methods
  495.    wt: 2:   B Decimal Comparison and Subtraction
  496.    wt: 2:   A Decimal Addition Columm Methods
  497.    wt: 2:   8 Column Multiplication Methods in General
  498.    wt: 2:   7 Decimals Multiplication Methods Examples
  499.    wt: 2:   1 The Counting Origins of Numbers
  500.    wt: 2:   6 Equations and Systems Equivalent or Implied
  501.    wt: 2:   4 Subtraction and Division Axioms
  502.    wt: 2:   1 Equivalent Computation Rules
  503.    wt: 2:   5 Greater More Less Than Signs in General
  504.    wt: 2:   4 Comparison of Negative Numbers
  505.    wt: 2:   3 More and Less Than with Unlike Signs
  506.    wt: 2:   1 Real Numbers Comparison
  507.    wt: 2:   6 Unsigned Real Numbers
  508.    wt: 2:   5 Rational Numbers More
  509.    wt: 2:   4 Rational Numbers
  510.    wt: 2:   3 Fractions
  511.    wt: 2:   1 Whole and Natural Numbers
  512.    wt: 2:   5 Independent versus Dependent Variables
  513.    wt: 2:   4 Changing Letters
  514.    wt: 2:   More Exercises
  515.    wt: 2:   Simple Exercises
  516.    wt: 2:   4 GE III Animated Examples
  517.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  518.    wt: 2:   3 GE III Equation Addition and Multiplication
  519.    wt: 2:   1 GE Substitution four examples
  520.    wt: 2:   Skill Development Notes
  521.    wt: 2:   10 One Example
  522.    wt: 2:   8 One Example
  523.    wt: 2:   7 Two Examples
  524.    wt: 2:   4 Two Examples
  525.    wt: 2:   3 Two Examples
  526.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  527.    wt: 2:   9 Sets in Probability and Statistics
  528.    wt: 2:   8 Sets of Numbers
  529.    wt: 2:   7 Cautious or Safe Set Construction
  530.    wt: 2:   6 Power Set Notation
  531.    wt: 2:   5 Product Builder Notation
  532.    wt: 2:   4 Subset Builder Notation
  533.    wt: 2:   3 Counting with Sets etc
  534.    wt: 2:   1 Finite Sets
  535.    wt: 2:   5 Talking about Numbers and Quantities
  536.    wt: 2:   3 Adding Words To Arithmetic
  537.    wt: 2:   About Folder Contents
  538.    wt: 2:   arithmetic videos Real Player Format
  539.    wt: 2:   2 Square Roots with Prime
  540.    wt: 2:   8 GCD from Euclidean Algorithm
  541.    wt: 2:   1 Least Common Multiples LCM Introduction
  542.    wt: 2:   2 Counting with Tables and Trees I
  543.    wt: 2:   4 signed coordinates for regions in space
  544.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  545.    wt: 2:   2 Equality and Units
  546.    wt: 2:   D Three Term Ratios
  547.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  548.    wt: 2:   19 Dividing Fractions How TO
  549.    wt: 2:   13 Fraction Comparison Algebraic View
  550.    wt: 2:   12 Fraction Comparison
  551.    wt: 2:   11 Simplification an Algebraic View
  552.    wt: 2:   6 Multiplication Algebraically Take II
  553.    wt: 2:   A Associative Law Theorectical Note
  554.    wt: 2:   13 Subtraction with Additive Inverse
  555.    wt: 2:   1 Integers as Coordinates
  556.    wt: 2:   21 Remainder Arithmetic Modulo 3
  557.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  558.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  559.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  560.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  561.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  562.    wt: 2:   5 Remainder Arithmetic Modulo 5
  563.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  564.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  565.    wt: 2:   1 Remainder Arithmetic Modulo 10
  566.    wt: 2:   19 video Prime Factorization Unique
  567.    wt: 2:   18 video Count Factors given Prime Factorization
  568.    wt: 2:   17 Identify and Count Factors using Primes
  569.    wt: 2:   16 video Factors of 980 using prime
  570.    wt: 2:   11 Efficient Square Rule Use
  571.    wt: 2:   9 video Prime Factorization upto 19 squared
  572.    wt: 2:   8 video Prime Factorization upto 19
  573.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  574.    wt: 2:   5 Prime Factorization and a Square Rule
  575.    wt: 2:   4 video Prime Factorization Introduction
  576.    wt: 2:   3 video Primes and Composites from 9 times table
  577.    wt: 2:   1 video how Products are bigger than factor
  578.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  579.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  580.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  581.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  582.    wt: 2:   Quick history of numbers and algebra
  583.    wt: 2:   Formula Evaluation how to show work
  584.    wt: 2:   The 12 Times Table Visually
  585.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  586.    wt: 2:   012 Division of Time Intervals by Time Intervals
  587.    wt: 2:   2 Time and Date Matters in School
  588.    wt: 2:   1 Intro of Kids To Time Date Skills
  589.    wt: 2:   Example 1 volume of a pyramid
  590.    wt: 2:   Volume of Solid by Cross Sections Lesson
  591.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  592.    wt: 2:   Example 4 with x function of y
  593.    wt: 2:   Example 1
  594.    wt: 2:   Area Between Curves Lesson Take 1
  595.    wt: 2:   Summary
  596.    wt: 2:   36 Cube root derivative animated
  597.    wt: 2:   34 Derivative of exponential function
  598.    wt: 2:   33 Chain Rule Real Player video examples
  599.    wt: 2:   31 Derivatives of inverse functions
  600.    wt: 2:   18 Chain Rule Introduction
  601.    wt: 2:   17 Derivatives of quotients of sine and cosine
  602.    wt: 2:   15 sine and cosine derivatives 3rd step
  603.    wt: 2:   13 sine and cosine derivatives 1st step
  604.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  605.    wt: 2:   11 Limits at infinity Three Examples
  606.    wt: 2:   3 Decimal insights for limits continuity convergence
  607.    wt: 2:   E2 Algebraic Properties of Limits
  608.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  609.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  610.    wt: 2:   Chapter 23 Links To Trigonometry
  611.    wt: 2:   Chapter 21 Arrow Addition
  612.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  613.    wt: 2:   Chapter 12. Units and Slopes
  614.    wt: 2:   Chapter 2. Slopes and Ski Trails
  615.    wt: 2:   Postscript A Three Remarks
  616.    wt: 2:   Chapter 3 Algebra Difficulties
  617.    wt: 2:   Foreword
  618.    wt: 2:   L Skills with take home value
  619.    wt: 2:   G. Written work formats for developing and showing skill
  620.    wt: 2:   Chapter 2 Why Sets
  621.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  622.    wt: 2:   7 Games and Activities for Instruction
  623.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  624.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  625.    wt: 2:   More Algebra and Slope based Calculus Preview
  626.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  627.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  628.    wt: 1:   Appendix 2 primary school Arithmetic 01
  629.    wt: 1:   G LAMP Introduction Problem Solving Skills
  630.    wt: 1:   Skills Chapter 5 Calculus
  631.    wt: 1:   Skills Chapter 4 Logic
  632.    wt: 1:   Ramblings Introduction Algebra Essay
  633.    wt: 1:   Skills Chapter 1 Arithmetic
  634.    wt: 1:   Skills Chapter 0 Introduction
  635.    wt: 1:   11 pure mathematics
  636.    wt: 1:   10 statistics
  637.    wt: 1:   9 combinatorics probability sets
  638.    wt: 1:   8 analytic geometry etc
  639.    wt: 1:   7 logic review and decimals an odd combination
  640.    wt: 1:   6 polynomials etc
  641.    wt: 1:   5 logarithms and exponentials etc
  642.    wt: 1:   3 Euclidean Geometry Leanly
  643.    wt: 1:   1 arithmetic with unsigned numbers
  644.    wt: 1:   What is POMME
  645.    wt: 1:   why bother
  646.    wt: 1:   permissions for teachers
  647.    wt: 1:   activities for students
  648.    wt: 1:   site eurekas
  649.    wt: 1:   About site lesson plans
  650.    wt: 1:   learning takes time
  651.    wt: 1:   Postscript 2007 01 10
  652.    wt: 1:   Education Reform Inconsistencies
  653.    wt: 1:   Maps Plans Drawings
  654.    wt: 1:   how letters appear
  655.    wt: 1:   Secondary Two Mathematics
  656.    wt: 1:   Secondary One Mathematics
  657.    wt: 1:   teaching tips
  658.    wt: 1:   What to Tell Students
  659.    wt: 1:   mathematics curriculum shifts
  660.    wt: 1:   05 13 OldSiteEntrancePage
  661.    wt: 1:   standards for course material
  662.    wt: 1:   Different Kinds of Reasoning in maths
  663.    wt: 1:   Four ways to improve education reform
  664.    wt: 1:   need for a mixed mathematics curriculum
  665.    wt: 1:   education an empirical art
  666.    wt: 1:   words for mathematics instructor
  667.    wt: 1:   chapitre 12 00 les iles et division
  668.    wt: 1:   chapitre 04 02 Deuxieme enigme
  669.    wt: 1:   chapitre 02 00 La Communication des idees
  670.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  671.    wt: 1:   4 Energy Power Heat09
  672.    wt: 1:   3 Energy Power Heat08
  673.    wt: 1:   1 Energy Power Heat06
  674.    wt: 1:   E Energy Power05
  675.    wt: 1:   D Energy Power04
  676.    wt: 1:   C Energy Power03
  677.    wt: 1:   A Energy Power01
  678.    wt: 1:   F Wire Resistance Calculation04
  679.    wt: 1:   E Wire Resistance Calculation03
  680.    wt: 1:   C Wire Resistance Calculation01
  681.    wt: 1:   B Wire Resistance Qualitative02
  682.    wt: 1:   3 Like resistors in parallel
  683.    wt: 1:   2 Unlike resistors in parallel01
  684.    wt: 1:   H Series Circuit02
  685.    wt: 1:   B Electromotive force conventional current01
  686.    wt: 1:   17 Math Booklets for children and young teenagers
  687.    wt: 1:   15 Counting For Parents
  688.    wt: 1:   10 Ends values for work study instruction
  689.    wt: 1:   4 Learning Takes Time and Effort
  690.    wt: 1:   3 Preparing for Science Studies
  691.    wt: 1:   1 Speaking Skills
  692.    wt: 1:   Ages 9 to 10
  693.    wt: 1:   Ages 8 to 9
  694.    wt: 1:   Ages 7 to 8
  695.    wt: 1:   Ages 6 to 7
  696.    wt: 1:   Ages 4 plus to 5 plus
  697.    wt: 1:   Ages 3 plus to 4 plus
  698.    wt: 1:   sign monoticity analysis example 4
  699.    wt: 1:   sign monoticity analysis example 3
  700.    wt: 1:   sign monoticity analysis example 1
  701.    wt: 1:   19 Horizontal line rule and method
  702.    wt: 1:   18 Vertical Line Rule and Method
  703.    wt: 1:   17 Function maxima minima and their location
  704.    wt: 1:   15 Sign analysis of functions
  705.    wt: 1:   14 Surjections Injections Bijections
  706.    wt: 1:   13 From one to one to many to one
  707.    wt: 1:   11 Function Domain Range Source and Targets
  708.    wt: 1:   10 Interval Notation
  709.    wt: 1:   9 Set theory term relation possible origins
  710.    wt: 1:   8 Set view of relations and functions
  711.    wt: 1:   7 Functions with finite domains
  712.    wt: 1:   4 Function notation in and beyond mathematics
  713.    wt: 1:   1 Geometric Introduction of Function Notation
  714.    wt: 1:   Introduction Reading Guide
  715.    wt: 1:   A Quadratics Summary
  716.    wt: 1:   10 quadratic exercises
  717.    wt: 1:   9 quadratics physical and further context
  718.    wt: 1:   6 quadratics numerical approach
  719.    wt: 1:   5 quadratics completing the square
  720.    wt: 1:   4 quadratics difference of two squares
  721.    wt: 1:   3 quadratics factoring by inspection
  722.    wt: 1:   1 quadratics graphing exercises
  723.    wt: 1:   Quadratics in 10 steps
  724.    wt: 1:   7 Links Lessons Elsewhere
  725.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  726.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  727.    wt: 1:   4 Polynomials Long division linear divisor
  728.    wt: 1:   3 Polynomials Multiplication Addition
  729.    wt: 1:   1 Polynomials Distributive Law
  730.    wt: 1:   16 cotangent function Definition Graph and Inverse
  731.    wt: 1:   15 cosecant function Definition Graph and Inverse
  732.    wt: 1:   14 secant function Definition Graph and Inverse
  733.    wt: 1:   13 cosecant function Definition Graph and Inverse
  734.    wt: 1:   11 arctan left inverse of tangent Graph
  735.    wt: 1:   10 arctan left inverse of tangent Definition
  736.    wt: 1:   9 motivation for name arcsin
  737.    wt: 1:   4 possible motivation for term arccos
  738.    wt: 1:   2 cosine function more properties
  739.    wt: 1:   9 Summary Degrees to Radians and back
  740.    wt: 1:   8 Radian Measures of Common Angles
  741.    wt: 1:   7 Radian Measures in special Triangles
  742.    wt: 1:   6 Radian Measure to Degrees
  743.    wt: 1:   5 Degrees to Radian Measure
  744.    wt: 1:   Parallel Lines and Interior Angles
  745.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  746.    wt: 1:   Straight Lines ASA Intersection Study
  747.    wt: 1:   10 Straight Lines through Origin Equations More
  748.    wt: 1:   9 Straight Lines through Origin Equations
  749.    wt: 1:   1 Straight Lines Slope Concept
  750.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  751.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  752.    wt: 1:   31 basic secant cosecant cotangent trig identities
  753.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  754.    wt: 1:   18 sum of sinusoidal waves as a single wave
  755.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  756.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  757.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  758.    wt: 1:   2 Quadrant I reference Angles
  759.    wt: 1:   7 Second Way to Calculate Products
  760.    wt: 1:   5 An Easy Proof of the Distributive Law
  761.    wt: 1:   7 Trignometric Ratios Unit Circle
  762.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  763.    wt: 1:   3 Trigonometric Ratios sine and cosine
  764.    wt: 1:   1 Angle Measurement with Degrees
  765.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  766.    wt: 1:   6 Geometric Diagrams in Class
  767.    wt: 1:   4 Similarity Definition with Coordinate
  768.    wt: 1:   8 Mid Point Formula
  769.    wt: 1:   7 Exercises to test skill and concept mastery
  770.    wt: 1:   5 Algebraic View of Slopes
  771.    wt: 1:   3 Slope product for perpendicular lines
  772.    wt: 1:   10 Pythagorean plane distance formula
  773.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  774.    wt: 1:   6 Figuring with Maps Not to Scale
  775.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  776.    wt: 1:   4 Angles on Maps Plans drawn to scale
  777.    wt: 1:   5 Square Roots with primes more still
  778.    wt: 1:   4 Square Roots with primes more
  779.    wt: 1:   3 Properties of Square Roots with example
  780.    wt: 1:   1 Squares and Square Roots Introduction
  781.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  782.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  783.    wt: 1:   13 GCD from given Prime Factorization
  784.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  785.    wt: 1:   7 GCD and LCM from prime factorization
  786.    wt: 1:   6 GCD from Prime
  787.    wt: 1:   5 Common Divisors 60 45 via Prime
  788.    wt: 1:   4 LCM of 8 and 10 via Prime
  789.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  790.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  791.    wt: 1:   4 Counting with Trees Product Rule Take I
  792.    wt: 1:   3 Counting with Tables and Trees II
  793.    wt: 1:   1 Counting and Counting Methods I
  794.    wt: 1:   11 What are real lengths and numbers
  795.    wt: 1:   10 dividing signed numbers
  796.    wt: 1:   9 subtracting signed numbers
  797.    wt: 1:   8 multiplying signed numbers
  798.    wt: 1:   7 negative and additive inverse
  799.    wt: 1:   6 adding signed numbers
  800.    wt: 1:   5 lengths and signs of numbers
  801.    wt: 1:   7 Converting or Changing Units
  802.    wt: 1:   6 Simplification of Fractions with Units
  803.    wt: 1:   4 Fractions with Units
  804.    wt: 1:   3 Multiplying Units and Numbers
  805.    wt: 1:   1 Addition and Subtraction with Units
  806.    wt: 1:   B Fractions and Two Term Ratios
  807.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  808.    wt: 1:   18 Efficient Ways to Multiply
  809.    wt: 1:   17 Efficient Ways to Add and Subtract
  810.    wt: 1:   16 Addition Subtraction Comparision Compared
  811.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  812.    wt: 1:   14 Adding and Subtracting with Like Denominators
  813.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  814.    wt: 1:   9 Improper Fractions and Mixed Numbers
  815.    wt: 1:   8 Numerals Fractionals Quantals Take II
  816.    wt: 1:   7 Numerals Fractionals Quantals
  817.    wt: 1:   6 Multiplication of Mixed Numbers
  818.    wt: 1:   5 Equivalent Fractions
  819.    wt: 1:   4 Fraction Multiplication
  820.    wt: 1:   3 Unit fraction of a fraction
  821.    wt: 1:   1 What is a fraction Take II
  822.    wt: 1:   1 What is a fraction
  823.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  824.    wt: 1:   D Remainders Modulo 11 Pair Rule
  825.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  826.    wt: 1:   B Integer Long Division Multiple Choices
  827.    wt: 1:   9 Multiplying Integers
  828.    wt: 1:   8 Multiplication by Signed Numbers Integers
  829.    wt: 1:   7 Multiplication by Signs
  830.    wt: 1:   6 Multiplication by Natural Numbers
  831.    wt: 1:   5 Zero Movement and Additive Inverses
  832.    wt: 1:   4 Adding Movements wiht opposite directions
  833.    wt: 1:   3 Adding Movements with same direction
  834.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  835.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  836.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  837.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  838.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  839.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  840.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  841.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  842.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  843.    wt: 1:   11 Place Value SI Standard International way
  844.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  845.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  846.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  847.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  848.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  849.    wt: 1:   Exact Arithmetic Wholes and Fractions
  850.    wt: 1:   Expression Evaluation how to show work
  851.    wt: 1:   About folder contents
  852.    wt: 1:   016 Numbering Occidental Calendar Days
  853.    wt: 1:   015 School and work day counting tables
  854.    wt: 1:   014 Counting Days with Calendars
  855.    wt: 1:   013 Travel Time Tables
  856.    wt: 1:   011 Division of Time Intervals By Numbers
  857.    wt: 1:   010 Repeated Addition of Time Intervals
  858.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  859.    wt: 1:   8 Addition of Time Intervals via subtotaling
  860.    wt: 1:   7 Addition of Time Intervals
  861.    wt: 1:   6 How long is a million seconds
  862.    wt: 1:   5 Conversion Arithmetic
  863.    wt: 1:   4 Mixing and Changing Units of Time
  864.    wt: 1:   3 Units and Lengths of Time
  865.    wt: 1:   2 Indefinite Integrals Exercises
  866.    wt: 1:   1 Chain Rule in Reverse Integration Method
  867.    wt: 1:   2 Second derivative test prequel
  868.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  869.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  870.    wt: 1:   10 Three one sided limits with infinite values
  871.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  872.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  873.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  874.    wt: 1:   F.4 Finite Covering Theorem
  875.    wt: 1:   F.2 Closed Range Theorem
  876.    wt: 1:   D2 Limits of Monotone Sequences
  877.    wt: 1:   B3 Bolzano Weierstrass Theorem
  878.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  879.    wt: 1:   PostScript For and Against Decimal Perspectives
  880.    wt: 1:   Chapter 18. Slopes Areas Integration
  881.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  882.    wt: 1:   Fall 1983 Calculus Appetizer
  883.    wt: 1:   Foreword
  884.    wt: 1:   Annotated Links to Material Elsehwere
  885.    wt: 1:   Postscript B Mathematics Education References
  886.    wt: 1:   Chapter 11 Elementary Instruction
  887.    wt: 1:   Chapter 10 Transition
  888.    wt: 1:   Chapter 9 The Two Ends
  889.    wt: 1:   Chapter 8 Modern Instruction
  890.    wt: 1:   Chapter 7 Two Treatments of Geometry
  891.    wt: 1:   Chapter 5 Four References
  892.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  893.    wt: 1:   Chapter 1 Introduction
  894.    wt: 1:   S Adding words to algebra
  895.    wt: 1:   R Why Learn Mathematics Skills
  896.    wt: 1:   N Mathematics Prepare for College Studies
  897.    wt: 1:   I. Logic and language skills
  898.    wt: 1:   B. Domino effect of errors
  899.    wt: 1:   A. Skill has to be seen to believed
  900.    wt: 1:   How to Build Skills and Confidence
  901.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  902.    wt: 1:   Chapter 6 More Algebra and Geometry
  903.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  904.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  905.    wt: 1:   Chapter 3 Algebra Starter Lessons
  906.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  907.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  908.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  909.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  910.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  911.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  912.    wt: 1:   Systematic Algebra Skill Development Missing Links
  913.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  914.    wt: 1:   The Math Forum and Site Content
  915.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  916.    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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