Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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: 8:   3 Prime Factorization Skills/
  2.    wt: 8:   C Decimal Multiplication Methods/
  3.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  4.    wt: 8:   A Decimal Counting and Adding Methods/
  5.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 7:   D Decimal Long Division Methods/
  7.    wt: 6:   11 Squares and Square Roots/
  8.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  9.    wt: 6:   9 Combinatorics Trees Tables and Products/
  10.    wt: 6:   8 Arithmetic with Signed Numbers/
  11.    wt: 6:   7 Arithmetic and Fractions with Units/
  12.    wt: 6:   6 Fractions and Ratios/
  13.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 3:   3 Cartesian and Polar Coordinates/
  19.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  20.    wt: 2:   3 Quadratics Geometrically/
  21.    wt: 2:   13 Vectors/
  22.    wt: 2:   A Origins of Counting and Figuring Methods/
  23.    wt: 2:   Step 1 Stick diagram and fractions/
  24.    wt: 2:   13 Lessons on Limits and Continuity/
  25.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  26.    wt: 1:   LAMP Lean Applied Mathematics Program/
  27.    wt: 1:   Mathematics Skills Year by Year/
  28.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  29.    wt: 1:   12 Function Translating and Rescaling/
  30.    wt: 1:   11 Parallel Straight Lines and Transversals/
  31.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  32.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  33.    wt: 1:   7 Complex Numbers/
  34.    wt: 1:   4 Lines and Slopes Take 1/
  35.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  36.    wt: 1:   B Real Numbers Extrinsic Development/
  37.    wt: 1:   9 Proportionality Backwards and Forwards/
  38.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  39.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  40.    wt: 1:   5 Real Numbers/
  41.    wt: 1:   4 Computation Rules and Function Notation/
  42.    wt: 1:   Step 4 Gaussian Elimination/
  43.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  44.    wt: 1:   3 Solving Linear Equations/
  45.    wt: 1:   Time Date Matters/
  46.    wt: 1:   Skills with take home value/
  47.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  48.    wt: 1:   4 Lessons on Using Derivatives/
  49.    wt: 1:   38 Lessons on Calculating Derivatives/
  50.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  51.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  52.    wt: 1:   Volume 2 Three Skills For Algebra/
  53.    wt: 1:   Work and Study Tips/
  54.    wt: 1:   Resources and Reciprocal Links/
  55.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

476 matches:

  1.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  3.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 3:   3 Lengths and Areas on Maps and Plans
  6.    wt: 3:   13 Real Number Subtraction
  7.    wt: 3:   3 Multiplying Units and Numbers
  8.    wt: 3:   38 Formulas and derivatives for powers and roots
  9.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  10.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  11.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  12.    wt: 2:   Ramblings Extrinsic numbers theory
  13.    wt: 2:   Skills Chapter 3 Algebra
  14.    wt: 2:   7 logic review and decimals an odd combination
  15.    wt: 2:   13 Addition and Addition Tables
  16.    wt: 2:   2 Reading and Writing Skills
  17.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  18.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  19.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  20.    wt: 2:   13 cosecant function Definition Graph and Inverse
  21.    wt: 2:   Vector and Complex Number Applet
  22.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  23.    wt: 2:   14 cosine even and sine and tangent are odd
  24.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  25.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  26.    wt: 2:   13 Trig Formulas for dot and cross Products
  27.    wt: 2:   3 Trigonometric Ratios sine and cosine
  28.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  29.    wt: 2:   13 Arrows and Vectors in a Plane
  30.    wt: 2:   11 Signed Number Addition and Addition Properties
  31.    wt: 2:   C Three Decimal Subtraction Methods
  32.    wt: 2:   B Decimal Comparison and Subtraction
  33.    wt: 2:   7 Decimals Multiplication Methods Examples
  34.    wt: 2:   3 Multiplicative Counting Skills Principles
  35.    wt: 2:   2 Combing Counts Addition Skills and Principles
  36.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  37.    wt: 2:   4 Subtraction and Division Axioms
  38.    wt: 2:   3 More and Less Than with Unlike Signs
  39.    wt: 2:   2 More and Less Than for Counts and Measures
  40.    wt: 2:   10 Real Number Lengths and Signs
  41.    wt: 2:   1 Whole and Natural Numbers
  42.    wt: 2:   3 Geometric Formulas and Function Notation
  43.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  44.    wt: 2:   3 GE III Equation Addition and Multiplication
  45.    wt: 2:   5 Talking about Numbers and Quantities
  46.    wt: 2:   4 A Brief Story of numbers and algebra
  47.    wt: 2:   3 Comparison of Negative Numbers
  48.    wt: 2:   1 More and Less Than for Counts and Measures
  49.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  50.    wt: 2:   3 Counting with Tables and Trees II
  51.    wt: 2:   1 Counting and Counting Methods I
  52.    wt: 2:   11 What are real lengths and numbers
  53.    wt: 2:   5 lengths and signs of numbers
  54.    wt: 2:   3 signed coordinates for maps and planes
  55.    wt: 2:   2 signed and unsigned numbers as coordinates
  56.    wt: 2:   1 Addition and Subtraction with Units
  57.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  58.    wt: 2:   9 Improper Fractions and Mixed Numbers
  59.    wt: 2:   13 Subtraction with Additive Inverse
  60.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  61.    wt: 2:   3 video Primes and Composites from 9 times table
  62.    wt: 2:   Long Division forwards and backwards Example 3
  63.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  64.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  65.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  66.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  67.    wt: 2:   8 What skills and work habits to require
  68.    wt: 2:   6. Counting and adding units and mixed units
  69.    wt: 2:   3. How to add with decimals A sans conversions
  70.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  71.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  72.    wt: 2:   Quick history of numbers and algebra
  73.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  74.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  75.    wt: 2:   3 Units and Lengths of Time
  76.    wt: 2:   33 Chain Rule Real Player video examples
  77.    wt: 2:   15 sine and cosine derivatives 3rd step
  78.    wt: 2:   13 sine and cosine derivatives 1st step
  79.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  80.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  81.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  82.    wt: 2:   Chapter 31 Direct and Indirect Reason
  83.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  84.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  85.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  86.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  87.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  88.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  89.    wt: 2:   I. Logic and language skills
  90.    wt: 2:   How to Build Skills and Confidence
  91.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  92.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  93.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  94.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  95.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  96.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  97.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  98.    wt: 1:   Appendix 1 primary and preschool mathematic
  99.    wt: 1:   G LAMP Introduction Problem Solving Skills
  100.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  101.    wt: 1:   Skills Chapter 5 Calculus
  102.    wt: 1:   Skills Chapter 4 Logic
  103.    wt: 1:   Skills Chapter 2 Geometry
  104.    wt: 1:   Skills Chapter 1 Arithmetic
  105.    wt: 1:   Skills Chapter 0 Introduction
  106.    wt: 1:   5 logarithms and exponentials etc
  107.    wt: 1:   3 Euclidean Geometry Leanly
  108.    wt: 1:   2 arithmetic with signed numbers
  109.    wt: 1:   1 arithmetic with unsigned numbers
  110.    wt: 1:   key notes and themes
  111.    wt: 1:   what should be learnt and When
  112.    wt: 1:   05 13 OldSiteEntrancePage
  113.    wt: 1:   standards for course material
  114.    wt: 1:   Theory of Knowledge
  115.    wt: 1:   Education in mathematics science and technology
  116.    wt: 1:   Motivation and Context Problem
  117.    wt: 1:   fairness and inductive principles for instruction
  118.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  119.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  120.    wt: 1:   3 Energy Power Heat08
  121.    wt: 1:   C Energy Power03
  122.    wt: 1:   E Wire Resistance Calculation03
  123.    wt: 1:   3 Like resistors in parallel
  124.    wt: 1:   Home Tutoring and Home Schooling
  125.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  126.    wt: 1:   24 Standards For Skill Develoment Take II
  127.    wt: 1:   24 Standards For Skill Develoment
  128.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  129.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  130.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  131.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  132.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  133.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  134.    wt: 1:   17 Math Booklets for children and young teenagers
  135.    wt: 1:   14 Multiplication and Times Tables
  136.    wt: 1:   12 Goals and Objectives For Mathematics
  137.    wt: 1:   11 Help and Defend Your Child or Teens Education
  138.    wt: 1:   5 Patience Please for Yourself and Your Charges
  139.    wt: 1:   4 Learning Takes Time and Effort
  140.    wt: 1:   3 Preparing for Science Studies
  141.    wt: 1:   1 Speaking Skills
  142.    wt: 1:   Ages 12 to 14 Skills with take home value
  143.    wt: 1:   Ages 3 plus to 4 plus
  144.    wt: 1:   sign monoticity analysis example 3
  145.    wt: 1:   26 Function definitions done and coming
  146.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  147.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  148.    wt: 1:   23 Inverse Functions
  149.    wt: 1:   19 Horizontal line rule and method
  150.    wt: 1:   18 Vertical Line Rule and Method
  151.    wt: 1:   17 Function maxima minima and their location
  152.    wt: 1:   13 From one to one to many to one
  153.    wt: 1:   11 Function Domain Range Source and Targets
  154.    wt: 1:   9 Set theory term relation possible origins
  155.    wt: 1:   8 Set view of relations and functions
  156.    wt: 1:   6 Set Existence Formation and Notation
  157.    wt: 1:   4 Function notation in and beyond mathematics
  158.    wt: 1:   3 Formula or function graphing exercise
  159.    wt: 1:   9 quadratics physical and further context
  160.    wt: 1:   3 quadratics factoring by inspection
  161.    wt: 1:   11 Growth and Decay in Biology
  162.    wt: 1:   10 Exponential Growth and Decay Models
  163.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  164.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  165.    wt: 1:   3 Polynomials Multiplication Addition
  166.    wt: 1:   16 cotangent function Definition Graph and Inverse
  167.    wt: 1:   15 cosecant function Definition Graph and Inverse
  168.    wt: 1:   14 secant function Definition Graph and Inverse
  169.    wt: 1:   3 Left Inverse of cosine arccos definition
  170.    wt: 1:   9 Summary Degrees to Radians and back
  171.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  172.    wt: 1:   1 Degrees and Radians Introduction
  173.    wt: 1:   A Global Time and Navigation
  174.    wt: 1:   15 Dot and Cross Product
  175.    wt: 1:   13 Velocity Vectors in Physics
  176.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  177.    wt: 1:   3 Navigation with Arrows or Vectors
  178.    wt: 1:   3 graphing y=f(x c) plus K
  179.    wt: 1:   Parallel Lines and Parallel Transversals
  180.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  181.    wt: 1:   Parallel Lines and Interior Angles
  182.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  183.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  184.    wt: 1:   32 seven rows of pascals triangle
  185.    wt: 1:   31 basic secant cosecant cotangent trig identities
  186.    wt: 1:   30 unit circle calculation of six trigonometric functions
  187.    wt: 1:   29 secant cosecant and cotangent for acute angles
  188.    wt: 1:   27 Logarithmic use of products of sines and cosines
  189.    wt: 1:   26 Formulas for products of sines and cosines
  190.    wt: 1:   21 sine and cosine Half Angle Formulas
  191.    wt: 1:   20 sine and cosine Double Angle Formulas
  192.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  193.    wt: 1:   17E Trig Formulas for dot and cross Products
  194.    wt: 1:   17D cis formulas for sine cosines and tangent
  195.    wt: 1:   17C sine and cosine double triple angle formulas
  196.    wt: 1:   17A The complex number valued trig function cis
  197.    wt: 1:   13 Graph of tangent function many periods
  198.    wt: 1:   10 Graphs of sines and cosines many periods
  199.    wt: 1:   9 Graphs of sine and cosine over one period
  200.    wt: 1:   7 period of sine and cosine
  201.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  202.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  203.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  204.    wt: 1:   21 Logarithms Powers and Exponentials
  205.    wt: 1:   20 N th Roots of Complex Numbers
  206.    wt: 1:   16 References and Originality Question
  207.    wt: 1:   12 cis formulas for sine cosines and tangent
  208.    wt: 1:   11 sine and cosine double triple angle formulas
  209.    wt: 1:   9 The complex number valued trig function cis
  210.    wt: 1:   6 Field Properties of Complex Number
  211.    wt: 1:   3 Addition Properties
  212.    wt: 1:   2 Complex Numbers made easier we hope
  213.    wt: 1:   Appetizer A Complex Number Applet
  214.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  215.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  216.    wt: 1:   8 Similarity of Triangles and Polygons
  217.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  218.    wt: 1:   3 Similarity by Design with coordinates
  219.    wt: 1:   10 Midpoint of [a b] and [b a]
  220.    wt: 1:   7 Exercises to test skill and concept mastery
  221.    wt: 1:   3 Slope product for perpendicular lines
  222.    wt: 1:   1 Numerical view of lines and their equations
  223.    wt: 1:   What is and is not here
  224.    wt: 1:   13 Pythagorean spatial distance formulas
  225.    wt: 1:   7 Complex Numbers Appetizer
  226.    wt: 1:   6 Polar Multiplication and Rotation
  227.    wt: 1:   5 Cartesian Addition and Translation
  228.    wt: 1:   4 Polar Coordinates to and from
  229.    wt: 1:   3 Rectangular Coordinates Review
  230.    wt: 1:   PS H Distributive Law For Complex Numbers
  231.    wt: 1:   PS B Parallelogram Construction Methods
  232.    wt: 1:   PS A Kite Construction Methods
  233.    wt: 1:   16 Angles Subtended By Chords and Diameters
  234.    wt: 1:   13 Angle Side Angle Failure
  235.    wt: 1:   6 Ruler and compass Angle Bisection
  236.    wt: 1:   3 Isometry of Triangles Congruence
  237.    wt: 1:   1 Initial Concepts and Terms
  238.    wt: 1:   musings do not puiblish real numbers
  239.    wt: 1:   A Modular and Remainder Arithmetic
  240.    wt: 1:   A Signed Number Arithmetic Review
  241.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  242.    wt: 1:   23 Distributive Law Two Derivations
  243.    wt: 1:   22 Multiplication of Signed Numbers
  244.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  245.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  246.    wt: 1:   12 Real Numbers Line Signed Coordinates
  247.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  248.    wt: 1:   8 Division and Mulplication of Compound Fractions
  249.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  250.    wt: 1:   3 Location of Point in Decimal Multiplication
  251.    wt: 1:   E Long Division Methods more
  252.    wt: 1:   D Long Division Methods
  253.    wt: 1:   A Decimal Addition Columm Methods
  254.    wt: 1:   8 Column Multiplication Methods in General
  255.    wt: 1:   6 Column Methods for Decimal Multiplication
  256.    wt: 1:   5 Distributive Law for Whole Numbers
  257.    wt: 1:   1 The Counting Origins of Numbers
  258.    wt: 1:   3 Inequalities Algebraically
  259.    wt: 1:   4 Rates Ratios and Proporitionality
  260.    wt: 1:   3 Proportionality Examples
  261.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  262.    wt: 1:   6 Compound Interest Forward and Backwards
  263.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  264.    wt: 1:   3 Linear Equation Literal Solution More
  265.    wt: 1:   6 Equations and Systems Equivalent or Implied
  266.    wt: 1:   3 Product Axioms Two Forms
  267.    wt: 1:   2 Addition and Multiplication Axioms
  268.    wt: 1:   4 Comparison of Negative Numbers
  269.    wt: 1:   1 Real Numbers Comparison
  270.    wt: 1:   16 Real Numbers Comparison
  271.    wt: 1:   15 Real Number Division
  272.    wt: 1:   14 Real Number Multiplication
  273.    wt: 1:   12 Real Number Additive Inverses or Negatives
  274.    wt: 1:   11 Real Number Addition
  275.    wt: 1:   8 Coordinates for Maps and Planes
  276.    wt: 1:   7 Real Numbers as Line Cordinates
  277.    wt: 1:   6 Unsigned Real Numbers
  278.    wt: 1:   5 Rational Numbers More
  279.    wt: 1:   4 Rational Numbers
  280.    wt: 1:   3 Fractions
  281.    wt: 1:   1 Formulas Dependence and Function Notation
  282.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  283.    wt: 1:   3 Solving triangular system example
  284.    wt: 1:   3 Four Examples
  285.    wt: 1:   3 Two Examples
  286.    wt: 1:   13 Naming Identifying Formulas with Words
  287.    wt: 1:   3 Triangle Area Formula Example
  288.    wt: 1:   1 Written work formats for developing and showing skill
  289.    wt: 1:   9 Sets in Probability and Statistics
  290.    wt: 1:   8 Sets of Numbers
  291.    wt: 1:   3 Counting with Sets etc
  292.    wt: 1:   3 Adding Words To Arithmetic
  293.    wt: 1:   1 Three Skills For Algebra
  294.    wt: 1:   2 More and Less Than with Unlike Signs
  295.    wt: 1:   3 Properties of Square Roots with example
  296.    wt: 1:   1 Squares and Square Roots Introduction
  297.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  298.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  299.    wt: 1:   13 GCD from given Prime Factorization
  300.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  301.    wt: 1:   7 GCD and LCM from prime factorization
  302.    wt: 1:   4 LCM of 8 and 10 via Prime
  303.    wt: 1:   2 Counting with Tables and Trees I
  304.    wt: 1:   10 dividing signed numbers
  305.    wt: 1:   9 subtracting signed numbers
  306.    wt: 1:   8 multiplying signed numbers
  307.    wt: 1:   7 negative and additive inverse
  308.    wt: 1:   6 adding signed numbers
  309.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  310.    wt: 1:   2 Equality and Units
  311.    wt: 1:   B Fractions and Two Term Ratios
  312.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  313.    wt: 1:   21 Reciprocals for Fractions and Wholes
  314.    wt: 1:   17 Efficient Ways to Add and Subtract
  315.    wt: 1:   16 Addition Subtraction Comparision Compared
  316.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  317.    wt: 1:   14 Adding and Subtracting with Like Denominators
  318.    wt: 1:   13 Fraction Comparison Algebraic View
  319.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  320.    wt: 1:   6 Multiplication of Mixed Numbers
  321.    wt: 1:   3 Unit fraction of a fraction
  322.    wt: 1:   11 Adding Integers Formulas and Examples
  323.    wt: 1:   8 Multiplication by Signed Numbers Integers
  324.    wt: 1:   6 Multiplication by Natural Numbers
  325.    wt: 1:   5 Zero Movement and Additive Inverses
  326.    wt: 1:   3 Adding Movements with same direction
  327.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  328.    wt: 1:   26 Divisibility by 2 3 5 Example
  329.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  330.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  331.    wt: 1:   23 Remainder Arithmetic Modulo 2
  332.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  333.    wt: 1:   21 Remainder Arithmetic Modulo 3
  334.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  335.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  336.    wt: 1:   17 Identify and Count Factors using Primes
  337.    wt: 1:   13 video Factors of 24 using prime
  338.    wt: 1:   12 LCD GCD and LCM using Primes
  339.    wt: 1:   10 video Prime Factorization upto 23 squared
  340.    wt: 1:   7 Calculator Usage Notes and Cautions
  341.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  342.    wt: 1:   5 Prime Factorization and a Square Rule
  343.    wt: 1:   2 Prime and Composites less than 16
  344.    wt: 1:   Division with Counts and Length
  345.    wt: 1:   Long Division forwards and backwards Example 2
  346.    wt: 1:   Long Division forwards and backwards Example 1
  347.    wt: 1:   10 Division by Five Long and Short Ways
  348.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  349.    wt: 1:   3 Division Single Digit Divisor Example
  350.    wt: 1:   D Decimal Multiplication Methods Derived
  351.    wt: 1:   A Elementary Basis for Multiplication Methods
  352.    wt: 1:   4 Two and Three Digit Multipliers
  353.    wt: 1:   3 More One Digit Multipliers
  354.    wt: 1:   1 Why 3 times 5 gives 15
  355.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  356.    wt: 1:   Subtraction with J Conversions Example
  357.    wt: 1:   Subtraction Another Video Lesson
  358.    wt: 1:   9 22 Minute Subtraction Review Video
  359.    wt: 1:   8 Subtraction with Units of Measure
  360.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  361.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  362.    wt: 1:   5 A Tip for Efficent Subtraction
  363.    wt: 1:   2 Subtraction Easy Case Examples
  364.    wt: 1:   5. How to add decimals C. Examples
  365.    wt: 1:   4. How to add with decimals B with conversions
  366.    wt: 1:   11 Place Value SI Standard International way
  367.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  368.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  369.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  370.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  371.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  372.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  373.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  374.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  375.    wt: 1:   Exact Arithmetic Wholes and Fractions
  376.    wt: 1:   016 Numbering Occidental Calendar Days
  377.    wt: 1:   015 School and work day counting tables
  378.    wt: 1:   013 Travel Time Tables
  379.    wt: 1:   011 Division of Time Intervals By Numbers
  380.    wt: 1:   4 Mixing and Changing Units of Time
  381.    wt: 1:   2 Time and Date Matters in School
  382.    wt: 1:   1 Intro of Kids To Time Date Skills
  383.    wt: 1:   Example 1. Area Between x and x squared
  384.    wt: 1:   Example 3
  385.    wt: 1:   A Related Material in Volume 3
  386.    wt: 1:   3 Two Chain Rule Method Exercises
  387.    wt: 1:   A Related lessons in Volume 3
  388.    wt: 1:   3 Second derivative test
  389.    wt: 1:   36 Cube root derivative animated
  390.    wt: 1:   34 Derivative of exponential function
  391.    wt: 1:   31 Derivatives of inverse functions
  392.    wt: 1:   30Chain Rule A Proof
  393.    wt: 1:   23 Chain Rule in general
  394.    wt: 1:   17 Derivatives of quotients of sine and cosine
  395.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  396.    wt: 1:   14 sine and cosine derivatives 2nd step
  397.    wt: 1:   3 Motivation for Limit Definition Take 2
  398.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  399.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  400.    wt: 1:   9 Limits Continuity and Composition
  401.    wt: 1:   5 Jumps and absence of unlimited error control
  402.    wt: 1:   3 Decimal insights for limits continuity convergence
  403.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  404.    wt: 1:   G.3 Constant Difference Theorem Proof
  405.    wt: 1:   F.3 Intermediate Value Theorem
  406.    wt: 1:   B3 Bolzano Weierstrass Theorem
  407.    wt: 1:   PostScript For and Against Decimal Perspectives
  408.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  409.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  410.    wt: 1:   Chapter 23 Links To Trigonometry
  411.    wt: 1:   Chapter 22 Complex Numbers
  412.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  413.    wt: 1:   Chapter 13. Acceleration
  414.    wt: 1:   Chapter 12. Units and Slopes
  415.    wt: 1:   Chapter 10 Slopes and Units
  416.    wt: 1:   Chapter 7 Slopes and Velocity
  417.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  418.    wt: 1:   Chapter 3. Slope Sign Analysis
  419.    wt: 1:   Chapter 2. Slopes and Ski Trails
  420.    wt: 1:   Fall 1983 Calculus Appetizer
  421.    wt: 1:   Appendix E. How To Study Mathematics and Why
  422.    wt: 1:   Appendix D. What to do in School and Why
  423.    wt: 1:   Chapter 30 Truth Tables
  424.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  425.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  426.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  427.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  428.    wt: 1:   Chapter 23. Notation For Sums
  429.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  430.    wt: 1:   Chapter 20. Degrees and Radians
  431.    wt: 1:   Chapter 19. Functions and Sets
  432.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  433.    wt: 1:   Chapter 13. Second Reading Guide
  434.    wt: 1:   Chapter 12. Shorthand Usage Guide
  435.    wt: 1:   Chapter 11. Why Shorthand
  436.    wt: 1:   Chapter 10 Describing and Changing Calculations
  437.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  438.    wt: 1:   Chapter 8 Three Skills For Algebra
  439.    wt: 1:   Chapter 3 Chains of Reason
  440.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  441.    wt: 1:   Chapter 3 Algebra Difficulties
  442.    wt: 1:   Chapter 2 For and Against Mathematics
  443.    wt: 1:   Postscript B More on Story Telling and Reason
  444.    wt: 1:   Chapter 24 Direct and Indirect Reason
  445.    wt: 1:   Chapter 23 Truth Tables
  446.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  447.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  448.    wt: 1:   Chapter 18 Sense and Knowledge
  449.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  450.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  451.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  452.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  453.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  454.    wt: 1:   R Why Learn Mathematics Skills
  455.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  456.    wt: 1:   O On Learning Mathematics and Science
  457.    wt: 1:   L Skills with take home value
  458.    wt: 1:   N Improving Marks on Tests and Finals
  459.    wt: 1:   J. More on written work and showing skill
  460.    wt: 1:   H Jigsaw puzzles and problem solving
  461.    wt: 1:   G. Written work formats for developing and showing skill
  462.    wt: 1:   E. When and how to correct errors
  463.    wt: 1:   Chapter 8 Skipped Topics and Why
  464.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  465.    wt: 1:   Chapter 6 More Algebra and Geometry
  466.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  467.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  468.    wt: 1:   Chapter 3 Algebra Starter Lessons
  469.    wt: 1:   7 Games and Activities for Instruction
  470.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  471.    wt: 1:   Helping the Blind in Logic and Mathematics
  472.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  473.    wt: 1:   More Algebra and Slope based Calculus Preview
  474.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  475.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  476.    wt: 1:   The Math Forum and Site Content

Extended Search

895 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 9:   9 GCD of 360 110 via Primes and Euclid Algorithm
  3.    wt: 9:   3 Multiplying Units and Numbers
  4.    wt: 9:   A Decimals Modular and Remainder Arithmetic
  5.    wt: 9:   17 Identify and Count Factors using Primes
  6.    wt: 9:   12 LCD GCD and LCM using Primes
  7.    wt: 9:   10 video Prime Factorization upto 23 squared
  8.    wt: 9:   7 Calculator Usage Notes and Cautions
  9.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  10.    wt: 9:   5 Prime Factorization and a Square Rule
  11.    wt: 9:   2 Prime and Composites less than 16
  12.    wt: 9:   Long Division forwards and backwards Example 3
  13.    wt: 9:   3 Division Single Digit Divisor Example
  14.    wt: 9:   D Decimal Multiplication Methods Derived
  15.    wt: 9:   A Elementary Basis for Multiplication Methods
  16.    wt: 9:   4 Two and Three Digit Multipliers
  17.    wt: 9:   Video Decimal Multiplication Geometric View Example 2
  18.    wt: 9:   1 Why 3 times 5 gives 15
  19.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  20.    wt: 9:   Subtraction with J Conversions Example
  21.    wt: 9:   9 22 Minute Subtraction Review Video
  22.    wt: 9:   8 Subtraction with Units of Measure
  23.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  24.    wt: 9:   6 Subtraction with Conversion Example with Exercises
  25.    wt: 9:   5 A Tip for Efficent Subtraction
  26.    wt: 9:   2 Subtraction Easy Case Examples
  27.    wt: 9:   5. How to add decimals C. Examples
  28.    wt: 9:   4. How to add with decimals B with conversions
  29.    wt: 8:   2 More and Less Than with Unlike Signs
  30.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  31.    wt: 8:   3 Counting with Tables and Trees II
  32.    wt: 8:   1 Counting and Counting Methods I
  33.    wt: 8:   11 What are real lengths and numbers
  34.    wt: 8:   5 lengths and signs of numbers
  35.    wt: 8:   3 signed coordinates for maps and planes
  36.    wt: 8:   2 signed and unsigned numbers as coordinates
  37.    wt: 8:   1 Addition and Subtraction with Units
  38.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  39.    wt: 8:   9 Improper Fractions and Mixed Numbers
  40.    wt: 8:   3 Unit fraction of a fraction
  41.    wt: 8:   13 Remainder Arithmetic Modulo 5 Example
  42.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  43.    wt: 8:   20 Uniqueness of Prime Factorization
  44.    wt: 8:   19 video Prime Factorization Unique
  45.    wt: 8:   18 video Count Factors given Prime Factorization
  46.    wt: 8:   16 video Factors of 980 using prime
  47.    wt: 8:   15 video Factors of 20 using Prime Factorization
  48.    wt: 8:   14 video Factors of 24 Take II
  49.    wt: 8:   11 Efficient Square Rule Use
  50.    wt: 8:   9 video Prime Factorization upto 19 squared
  51.    wt: 8:   8 video Prime Factorization upto 19
  52.    wt: 8:   4 video Prime Factorization Introduction
  53.    wt: 8:   1 video how Products are bigger than factor
  54.    wt: 8:   Long Division Backward
  55.    wt: 8:   Division with Counts and Length
  56.    wt: 8:   Long Division forwards and backwards Example 2
  57.    wt: 8:   Long Division forwards and backwards Example 1
  58.    wt: 8:   10 Division by Five Long and Short Ways
  59.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  60.    wt: 8:   C Counting Areas with Powers of Ten
  61.    wt: 8:   B Powers of Ten
  62.    wt: 8:   6 Multiplication Commutes Order Not Important
  63.    wt: 8:   5 Decimal Fraction Multiplication
  64.    wt: 8:   2 One Digit Multipliers
  65.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  66.    wt: 8:   Video Power Notation in Decimal Expansion
  67.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  68.    wt: 8:   7 Adding decimal fractions using decimal point
  69.    wt: 8:   2 Decimal Counting Practices
  70.    wt: 8:   1. Explaining Addition Table
  71.    wt: 8:   3 More on Groups of 3 Multi Digit Place Value
  72.    wt: 7:   4 Greater More Less Than Signs in General
  73.    wt: 7:   3 Properties of Square Roots with example
  74.    wt: 7:   1 Squares and Square Roots Introduction
  75.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  76.    wt: 7:   13 GCD from given Prime Factorization
  77.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  78.    wt: 7:   7 GCD and LCM from prime factorization
  79.    wt: 7:   4 LCM of 8 and 10 via Prime
  80.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  81.    wt: 7:   2 Least Common Multiple LCM intro via list method
  82.    wt: 7:   2 Counting with Tables and Trees I
  83.    wt: 7:   10 dividing signed numbers
  84.    wt: 7:   9 subtracting signed numbers
  85.    wt: 7:   8 multiplying signed numbers
  86.    wt: 7:   7 negative and additive inverse
  87.    wt: 7:   6 adding signed numbers
  88.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  89.    wt: 7:   2 Equality and Units
  90.    wt: 7:   B Fractions and Two Term Ratios
  91.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  92.    wt: 7:   21 Reciprocals for Fractions and Wholes
  93.    wt: 7:   17 Efficient Ways to Add and Subtract
  94.    wt: 7:   16 Addition Subtraction Comparision Compared
  95.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  96.    wt: 7:   14 Adding and Subtracting with Like Denominators
  97.    wt: 7:   13 Fraction Comparison Algebraic View
  98.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  99.    wt: 7:   6 Multiplication of Mixed Numbers
  100.    wt: 7:   13 Subtraction with Additive Inverse
  101.    wt: 7:   3 Adding Movements with same direction
  102.    wt: 7:   27 Divisibility by 2 3 6 5 9 10 Example
  103.    wt: 7:   26 Divisibility by 2 3 5 Example
  104.    wt: 7:   25 Divisibility Tests for 2 3 5 9 10 Example
  105.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
  106.    wt: 7:   23 Remainder Arithmetic Modulo 2
  107.    wt: 7:   22 Remainder Arithmetic Modulo 3 more
  108.    wt: 7:   21 Remainder Arithmetic Modulo 3
  109.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  110.    wt: 7:   15 Remainder Arithmetic Modulo 9 Example
  111.    wt: 7:   14 Remainder Arithmetic Modulo 9 Example
  112.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  113.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  114.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  115.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  116.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  117.    wt: 7:   6 Remainder Arithmetic Modulo 5 Propertie
  118.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  119.    wt: 7:   Long Division Backwards more
  120.    wt: 7:   12 Why Long Division Works Take III
  121.    wt: 7:   11 Another Single Digit Divisor Example
  122.    wt: 7:   9 Why Long Division Works Take II
  123.    wt: 7:   8 Correcting the Mistake
  124.    wt: 7:   7 Long Divison Mistake Catching
  125.    wt: 7:   5 Long Division Include Zeroes or not
  126.    wt: 7:   4 Division with 2 Digit Divsors
  127.    wt: 7:   2 Division with Single Digit Divisors
  128.    wt: 7:   1 Divsion Physical Examples
  129.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  130.    wt: 7:   Quick history of numbers and algebra
  131.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  132.    wt: 6:   5 Square Roots with primes more still
  133.    wt: 6:   4 Square Roots with primes more
  134.    wt: 6:   2 Square Roots with Prime
  135.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  136.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  137.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  138.    wt: 6:   8 GCD from Euclidean Algorithm
  139.    wt: 6:   6 GCD from Prime
  140.    wt: 6:   5 Common Divisors 60 45 via Prime
  141.    wt: 6:   1 Least Common Multiples LCM Introduction
  142.    wt: 6:   12 GCD 2700 288 via Prime
  143.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  144.    wt: 6:   4 Counting with Trees Product Rule Take I
  145.    wt: 6:   4 signed coordinates for regions in space
  146.    wt: 6:   7 Converting or Changing Units
  147.    wt: 6:   6 Simplification of Fractions with Units
  148.    wt: 6:   4 Fractions with Units
  149.    wt: 6:   D Three Term Ratios
  150.    wt: 6:   22 Complex Compound Fractions
  151.    wt: 6:   21 Working With Signs
  152.    wt: 6:   20 Dividing Fractions the Why
  153.    wt: 6:   19 Dividing Fractions How TO
  154.    wt: 6:   18 Efficient Ways to Multiply
  155.    wt: 6:   12 Fraction Comparison
  156.    wt: 6:   11 Simplification an Algebraic View
  157.    wt: 6:   8 Numerals Fractionals Quantals Take II
  158.    wt: 6:   7 Numerals Fractionals Quantals
  159.    wt: 6:   6 Multiplication Algebraically Take II
  160.    wt: 6:   5 Equivalent Fractions
  161.    wt: 6:   4 Fraction Multiplication
  162.    wt: 6:   2 Unit Fraction Multiplication
  163.    wt: 6:   1 What is a fraction Take II
  164.    wt: 6:   1 What is a fraction
  165.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  166.    wt: 6:   A Associative Law Theorectical Note
  167.    wt: 6:   11 Adding Integers Formulas and Examples
  168.    wt: 6:   8 Multiplication by Signed Numbers Integers
  169.    wt: 6:   6 Multiplication by Natural Numbers
  170.    wt: 6:   5 Zero Movement and Additive Inverses
  171.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  172.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  173.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  174.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  175.    wt: 6:   5 Remainder Arithmetic Modulo 5
  176.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  177.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  178.    wt: 6:   1 Remainder Arithmetic Modulo 10
  179.    wt: 6:   11 Place Value SI Standard International way
  180.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  181.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  182.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  183.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  184.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  185.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  186.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  187.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  188.    wt: 6:   Exact Arithmetic Wholes and Fractions
  189.    wt: 6:   Expression Evaluation how to show work
  190.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  191.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  192.    wt: 5:   13 Pythagorean spatial distance formulas
  193.    wt: 5:   3 Rectangular Coordinates Review
  194.    wt: 5:   3 Multiplicative Counting Skills Principles
  195.    wt: 5:   3 Solving triangular system example
  196.    wt: 5:   arithmetic videos Real Player Format
  197.    wt: 5:   D Remainders Modulo 11 Pair Rule
  198.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  199.    wt: 5:   B Integer Long Division Multiple Choices
  200.    wt: 5:   12 Adding Integers More Examples
  201.    wt: 5:   10 Integer Multiplication Formulas
  202.    wt: 5:   9 Multiplying Integers
  203.    wt: 5:   7 Multiplication by Signs
  204.    wt: 5:   4 Adding Movements wiht opposite directions
  205.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  206.    wt: 5:   1 Integers as Coordinates
  207.    wt: 5:   Formula Evaluation how to show work
  208.    wt: 5:   The 20 Times Table
  209.    wt: 5:   The 12 Times Table Visually
  210.    wt: 5:   About folder contents
  211.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  212.    wt: 5:   3 Telling Tracking Time Temporal and More Place Sense
  213.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  214.    wt: 4:   Ramblings Extrinsic numbers theory
  215.    wt: 4:   Skills Chapter 3 Algebra
  216.    wt: 4:   13 Velocity Vectors in Physics
  217.    wt: 4:   3 Navigation with Arrows or Vectors
  218.    wt: 4:   Vector and Complex Number Applet
  219.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  220.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  221.    wt: 4:   13 Trig Formulas for dot and cross Products
  222.    wt: 4:   7 Complex Numbers Appetizer
  223.    wt: 4:   6 Polar Multiplication and Rotation
  224.    wt: 4:   5 Cartesian Addition and Translation
  225.    wt: 4:   4 Polar Coordinates to and from
  226.    wt: 4:   C Three Decimal Subtraction Methods
  227.    wt: 4:   B Decimal Comparison and Subtraction
  228.    wt: 4:   7 Decimals Multiplication Methods Examples
  229.    wt: 4:   2 Combing Counts Addition Skills and Principles
  230.    wt: 4:   13 Real Number Subtraction
  231.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  232.    wt: 4:   3 GE III Equation Addition and Multiplication
  233.    wt: 4:   3 Two Examples
  234.    wt: 4:   38 Formulas and derivatives for powers and roots
  235.    wt: 4:   13 Limits with Parameters and Derivatives Take II
  236.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  237.    wt: 4:   Chapter 31 Direct and Indirect Reason
  238.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  239.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  240.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  241.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  242.    wt: 4:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  243.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  244.    wt: 3:   13 Addition and Addition Tables
  245.    wt: 3:   Ages 3 plus to 4 plus
  246.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  247.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  248.    wt: 3:   9 quadratics physical and further context
  249.    wt: 3:   3 quadratics factoring by inspection
  250.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  251.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  252.    wt: 3:   A Global Time and Navigation
  253.    wt: 3:   15 Dot and Cross Product
  254.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  255.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  256.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  257.    wt: 3:   12 Straight Lines Graphing mx plus b
  258.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  259.    wt: 3:   3 Addition Properties
  260.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  261.    wt: 3:   3 Slope product for perpendicular lines
  262.    wt: 3:   12 Spatial Coordinates
  263.    wt: 3:   11 Triangle Inequality
  264.    wt: 3:   10 Pythagorean plane distance formula
  265.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  266.    wt: 3:   8 Distance Between Points on a Line
  267.    wt: 3:   2 Cartesian Coordinates with signs
  268.    wt: 3:   1 Cartesian Coordinates sans signs
  269.    wt: 3:   13 Angle Side Angle Failure
  270.    wt: 3:   3 Isometry of Triangles Congruence
  271.    wt: 3:   3 Lengths and Areas on Maps and Plans
  272.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  273.    wt: 3:   23 Distributive Law Two Derivations
  274.    wt: 3:   22 Multiplication of Signed Numbers
  275.    wt: 3:   13 Arrows and Vectors in a Plane
  276.    wt: 3:   11 Signed Number Addition and Addition Properties
  277.    wt: 3:   E Long Division Methods more
  278.    wt: 3:   D Long Division Methods
  279.    wt: 3:   A Decimal Addition Columm Methods
  280.    wt: 3:   8 Column Multiplication Methods in General
  281.    wt: 3:   6 Column Methods for Decimal Multiplication
  282.    wt: 3:   5 Distributive Law for Whole Numbers
  283.    wt: 3:   1 The Counting Origins of Numbers
  284.    wt: 3:   3 Proportionality Examples
  285.    wt: 3:   4 Subtraction and Division Axioms
  286.    wt: 3:   3 More and Less Than with Unlike Signs
  287.    wt: 3:   2 More and Less Than for Counts and Measures
  288.    wt: 3:   10 Real Number Lengths and Signs
  289.    wt: 3:   1 Whole and Natural Numbers
  290.    wt: 3:   3 Geometric Formulas and Function Notation
  291.    wt: 3:   4 Solving a triangular system exercise
  292.    wt: 3:   2 Essentially one exercises three with solution
  293.    wt: 3:   1 Essentially One Unknown
  294.    wt: 3:   3 Four Examples
  295.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  296.    wt: 3:   3 Units and Lengths of Time
  297.    wt: 3:   Example 3
  298.    wt: 3:   33 Chain Rule Real Player video examples
  299.    wt: 3:   31 Derivatives of inverse functions
  300.    wt: 3:   15 sine and cosine derivatives 3rd step
  301.    wt: 3:   13 sine and cosine derivatives 1st step
  302.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  303.    wt: 3:   9 Limits Continuity and Composition
  304.    wt: 3:   5 Jumps and absence of unlimited error control
  305.    wt: 3:   4 Numerical properties
  306.    wt: 3:   3 Decimal insights for limits continuity convergence
  307.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  308.    wt: 3:   B3 Bolzano Weierstrass Theorem
  309.    wt: 3:   Chapter 23 Links To Trigonometry
  310.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  311.    wt: 3:   Chapter 13. Acceleration
  312.    wt: 3:   Chapter 3. Slope Sign Analysis
  313.    wt: 3:   Chapter 30 Truth Tables
  314.    wt: 3:   Chapter 23. Notation For Sums
  315.    wt: 3:   Chapter 13. Second Reading Guide
  316.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  317.    wt: 3:   Chapter 3 Chains of Reason
  318.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  319.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  320.    wt: 3:   I. Logic and language skills
  321.    wt: 3:   How to Build Skills and Confidence
  322.    wt: 3:   7 Games and Activities for Instruction
  323.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  324.    wt: 3:   More Algebra and Slope based Calculus Preview
  325.    wt: 3:   Systematic Algebra Skill Development Missing Links
  326.    wt: 2:   Appendix 1 primary and preschool mathematic
  327.    wt: 2:   G LAMP Introduction Problem Solving Skills
  328.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  329.    wt: 2:   Skills Chapter 5 Calculus
  330.    wt: 2:   Skills Chapter 4 Logic
  331.    wt: 2:   Ramblings Introduction Algebra Essay
  332.    wt: 2:   Skills Chapter 2 Geometry
  333.    wt: 2:   Skills Chapter 1 Arithmetic
  334.    wt: 2:   Skills Chapter 0 Introduction
  335.    wt: 2:   7 logic review and decimals an odd combination
  336.    wt: 2:   3 Euclidean Geometry Leanly
  337.    wt: 2:   what should be learnt and When
  338.    wt: 2:   Education Reform Inconsistencies
  339.    wt: 2:   Theory of Knowledge
  340.    wt: 2:   C Energy Power03
  341.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  342.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  343.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  344.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  345.    wt: 2:   3 Preparing for Science Studies
  346.    wt: 2:   2 Reading and Writing Skills
  347.    wt: 2:   Ages 12 to 14 Skills with take home value
  348.    wt: 2:   sign monoticity analysis example 3
  349.    wt: 2:   23 Inverse Functions
  350.    wt: 2:   13 From one to one to many to one
  351.    wt: 2:   3 Formula or function graphing exercise
  352.    wt: 2:   A Quadratics Summary
  353.    wt: 2:   10 quadratic exercises
  354.    wt: 2:   8 quadratics backward use of various formulas
  355.    wt: 2:   7 quadratic formulla derivation
  356.    wt: 2:   6 quadratics numerical approach
  357.    wt: 2:   5 quadratics completing the square
  358.    wt: 2:   4 quadratics difference of two squares
  359.    wt: 2:   2 quadratics graphing in general
  360.    wt: 2:   1 quadratics graphing exercises
  361.    wt: 2:   Quadratics in 10 steps
  362.    wt: 2:   13 cosecant function Definition Graph and Inverse
  363.    wt: 2:   9 Summary Degrees to Radians and back
  364.    wt: 2:   1 Degrees and Radians Introduction
  365.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  366.    wt: 2:   12 From Applied To Pure Mathematics
  367.    wt: 2:   11 Component Method
  368.    wt: 2:   10 Parallelogram Addition Method
  369.    wt: 2:   9 Head to Tail Coordinate View
  370.    wt: 2:   8 Parallel Vectors
  371.    wt: 2:   6 Vectors with Coordinates
  372.    wt: 2:   5 Head To Tail Arrow Addition
  373.    wt: 2:   4 Resultant of a Sum of Movements
  374.    wt: 2:   2 Signed Coordinates
  375.    wt: 2:   1 Unsigned Coordinates
  376.    wt: 2:   3 graphing y=f(x c) plus K
  377.    wt: 2:   Parallel Lines and Parallel Transversals
  378.    wt: 2:   Parallel Lines and Interior Angles
  379.    wt: 2:   Straight Lines Intersection of
  380.    wt: 2:   14 Straight Lines Equations General Case
  381.    wt: 2:   11 Straight Lines Graphing y=mx
  382.    wt: 2:   10 Straight Lines through Origin Equations More
  383.    wt: 2:   9 Straight Lines through Origin Equations
  384.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  385.    wt: 2:   32 seven rows of pascals triangle
  386.    wt: 2:   31 basic secant cosecant cotangent trig identities
  387.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  388.    wt: 2:   14 cosine even and sine and tangent are odd
  389.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  390.    wt: 2:   21 Logarithms Powers and Exponentials
  391.    wt: 2:   20 N th Roots of Complex Numbers
  392.    wt: 2:   16 References and Originality Question
  393.    wt: 2:   12 cis formulas for sine cosines and tangent
  394.    wt: 2:   11 sine and cosine double triple angle formulas
  395.    wt: 2:   9 The complex number valued trig function cis
  396.    wt: 2:   6 Field Properties of Complex Number
  397.    wt: 2:   2 Complex Numbers made easier we hope
  398.    wt: 2:   Appetizer A Complex Number Applet
  399.    wt: 2:   3 Trigonometric Ratios sine and cosine
  400.    wt: 2:   3 Similarity by Design with coordinates
  401.    wt: 2:   10 Midpoint of [a b] and [b a]
  402.    wt: 2:   7 Exercises to test skill and concept mastery
  403.    wt: 2:   1 Numerical view of lines and their equations
  404.    wt: 2:   What is and is not here
  405.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  406.    wt: 2:   PS H Distributive Law For Complex Numbers
  407.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  408.    wt: 2:   PS B Parallelogram Construction Methods
  409.    wt: 2:   PS A Kite Construction Methods
  410.    wt: 2:   16 Angles Subtended By Chords and Diameters
  411.    wt: 2:   6 Ruler and compass Angle Bisection
  412.    wt: 2:   1 Initial Concepts and Terms
  413.    wt: 2:   musings do not puiblish real numbers
  414.    wt: 2:   A Modular and Remainder Arithmetic
  415.    wt: 2:   A Signed Number Arithmetic Review
  416.    wt: 2:   26 More Less Greater Than Comparison
  417.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  418.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  419.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  420.    wt: 2:   12 Real Numbers Line Signed Coordinates
  421.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  422.    wt: 2:   8 Division and Mulplication of Compound Fractions
  423.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  424.    wt: 2:   3 Location of Point in Decimal Multiplication
  425.    wt: 2:   4 Commutative Law Groups Counting Form
  426.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  427.    wt: 2:   4 Rates Ratios and Proporitionality
  428.    wt: 2:   6 Equations and Systems Equivalent or Implied
  429.    wt: 2:   3 Product Axioms Two Forms
  430.    wt: 2:   2 Addition and Multiplication Axioms
  431.    wt: 2:   4 Comparison of Negative Numbers
  432.    wt: 2:   1 Real Numbers Comparison
  433.    wt: 2:   16 Real Numbers Comparison
  434.    wt: 2:   15 Real Number Division
  435.    wt: 2:   14 Real Number Multiplication
  436.    wt: 2:   12 Real Number Additive Inverses or Negatives
  437.    wt: 2:   11 Real Number Addition
  438.    wt: 2:   8 Coordinates for Maps and Planes
  439.    wt: 2:   7 Real Numbers as Line Cordinates
  440.    wt: 2:   6 Unsigned Real Numbers
  441.    wt: 2:   5 Rational Numbers More
  442.    wt: 2:   4 Rational Numbers
  443.    wt: 2:   3 Fractions
  444.    wt: 2:   1 Formulas Dependence and Function Notation
  445.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  446.    wt: 2:   Skill Development Notes
  447.    wt: 2:   10 One Example
  448.    wt: 2:   9 Three Examples
  449.    wt: 2:   8 One Example
  450.    wt: 2:   7 Two Examples
  451.    wt: 2:   6 Three Examples
  452.    wt: 2:   5 Three Examples
  453.    wt: 2:   4 Two Examples
  454.    wt: 2:   2 Three Examples
  455.    wt: 2:   5 Talking about Numbers and Quantities
  456.    wt: 2:   4 A Brief Story of numbers and algebra
  457.    wt: 2:   016 Numbering Occidental Calendar Days
  458.    wt: 2:   015 School and work day counting tables
  459.    wt: 2:   013 Travel Time Tables
  460.    wt: 2:   011 Division of Time Intervals By Numbers
  461.    wt: 2:   4 Mixing and Changing Units of Time
  462.    wt: 2:   2 Time and Date Matters in School
  463.    wt: 2:   1 Intro of Kids To Time Date Skills
  464.    wt: 2:   Example 1. Area Between x and x squared
  465.    wt: 2:   Example 4 with x function of y
  466.    wt: 2:   Example 2
  467.    wt: 2:   Example 1
  468.    wt: 2:   A Related lessons in Volume 3
  469.    wt: 2:   3 Second derivative test
  470.    wt: 2:   2 Second derivative test prequel
  471.    wt: 2:   36 Cube root derivative animated
  472.    wt: 2:   34 Derivative of exponential function
  473.    wt: 2:   30Chain Rule A Proof
  474.    wt: 2:   23 Chain Rule in general
  475.    wt: 2:   22 Chain Rule for polynomials
  476.    wt: 2:   17 Derivatives of quotients of sine and cosine
  477.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  478.    wt: 2:   14 sine and cosine derivatives 2nd step
  479.    wt: 2:   12 Quotient rule examples
  480.    wt: 2:   5 Product Rule
  481.    wt: 2:   3 Motivation for Limit Definition Take 2
  482.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  483.    wt: 2:   11 Limits at infinity Three Examples
  484.    wt: 2:   10 Three one sided limits with infinite values
  485.    wt: 2:   8 Four Animated Examples
  486.    wt: 2:   7 Evaluation by immediate or delayed substitution
  487.    wt: 2:   6 Continuity at a point
  488.    wt: 2:   2 Algebraic codification
  489.    wt: 2:   1 Numerical introduction
  490.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  491.    wt: 2:   G.3 Constant Difference Theorem Proof
  492.    wt: 2:   F.5a Equicontinuity Theorems
  493.    wt: 2:   F.3 Intermediate Value Theorem
  494.    wt: 2:   PostScript For and Against Decimal Perspectives
  495.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  496.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  497.    wt: 2:   Chapter 22 Complex Numbers
  498.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  499.    wt: 2:   Chapter 12. Units and Slopes
  500.    wt: 2:   Chapter 10 Slopes and Units
  501.    wt: 2:   Chapter 7 Slopes and Velocity
  502.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  503.    wt: 2:   Chapter 2. Slopes and Ski Trails
  504.    wt: 2:   Fall 1983 Calculus Appetizer
  505.    wt: 2:   Appendix E. How To Study Mathematics and Why
  506.    wt: 2:   Appendix D. What to do in School and Why
  507.    wt: 2:   Appendix C. How to Read
  508.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  509.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  510.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  511.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  512.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  513.    wt: 2:   Chapter 20. Degrees and Radians
  514.    wt: 2:   Chapter 19. Functions and Sets
  515.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  516.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  517.    wt: 2:   Chapter 12. Shorthand Usage Guide
  518.    wt: 2:   Chapter 11. Why Shorthand
  519.    wt: 2:   Chapter 10 Describing and Changing Calculations
  520.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  521.    wt: 2:   Chapter 8 Three Skills For Algebra
  522.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  523.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  524.    wt: 2:   Chapter 3 Algebra Difficulties
  525.    wt: 2:   Chapter 23 Truth Tables
  526.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  527.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  528.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  529.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  530.    wt: 2:   R Why Learn Mathematics Skills
  531.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  532.    wt: 2:   O On Learning Mathematics and Science
  533.    wt: 2:   M Words to extend arithmetic
  534.    wt: 2:   L Skills with take home value
  535.    wt: 2:   N Improving Marks on Tests and Finals
  536.    wt: 2:   J. More on written work and showing skill
  537.    wt: 2:   H Jigsaw puzzles and problem solving
  538.    wt: 2:   G. Written work formats for developing and showing skill
  539.    wt: 2:   E. When and how to correct errors
  540.    wt: 2:   C. Domino effect of being careful
  541.    wt: 2:   Chapter 3 Algebra Starter Lessons
  542.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  543.    wt: 2:   Helping the Blind in Logic and Mathematics
  544.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  545.    wt: 2:   Implementation Notes
  546.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  547.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  548.    wt: 1:   Appendix 2 primary school Arithmetic 01
  549.    wt: 1:   K LAMP Musings Science Education
  550.    wt: 1:   J LAMP Introduction Extrinsic Origins
  551.    wt: 1:   I LAMP Introduction Study Habits
  552.    wt: 1:   H LAMP Introduction Instructional Concepts
  553.    wt: 1:   F LAMP Introduction Prerequisites
  554.    wt: 1:   E LAMP Introduction Modern Mathematics
  555.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  556.    wt: 1:   A Introduction Objectives
  557.    wt: 1:   5 logarithms and exponentials etc
  558.    wt: 1:   2 arithmetic with signed numbers
  559.    wt: 1:   1 arithmetic with unsigned numbers
  560.    wt: 1:   permissions for teachers
  561.    wt: 1:   Math Ed if it must be short make it lean effective
  562.    wt: 1:   key notes and themes
  563.    wt: 1:   modern education
  564.    wt: 1:   learning takes time
  565.    wt: 1:   grouping students according to ability
  566.    wt: 1:   mathematics in context
  567.    wt: 1:   Postscript 2007 01 10
  568.    wt: 1:   five decades make a difference
  569.    wt: 1:   teaching tutoring algebraic reason
  570.    wt: 1:   the trouble with algebra
  571.    wt: 1:   05 13 OldSiteEntrancePage
  572.    wt: 1:   standards for course material
  573.    wt: 1:   Education in mathematics science and technology
  574.    wt: 1:   Different Kinds of Reasoning in maths
  575.    wt: 1:   Motivation and Context Problem
  576.    wt: 1:   fairness and inductive principles for instruction
  577.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  578.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  579.    wt: 1:   liens
  580.    wt: 1:   3 Energy Power Heat08
  581.    wt: 1:   E Wire Resistance Calculation03
  582.    wt: 1:   A Wire Resistance Qualitative01
  583.    wt: 1:   3 Like resistors in parallel
  584.    wt: 1:   B Electromotive force conventional current01
  585.    wt: 1:   Home Tutoring and Home Schooling
  586.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  587.    wt: 1:   24 Standards For Skill Develoment Take II
  588.    wt: 1:   24 Standards For Skill Develoment
  589.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  590.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  591.    wt: 1:   17 Math Booklets for children and young teenagers
  592.    wt: 1:   14 Multiplication and Times Tables
  593.    wt: 1:   12 Goals and Objectives For Mathematics
  594.    wt: 1:   11 Help and Defend Your Child or Teens Education
  595.    wt: 1:   5 Patience Please for Yourself and Your Charges
  596.    wt: 1:   4 Learning Takes Time and Effort
  597.    wt: 1:   1 Speaking Skills
  598.    wt: 1:   Ages 12 to 14 Geometry
  599.    wt: 1:   Ages 12 to 14 Arithmetic
  600.    wt: 1:   Ages 10 to 12 Geometry
  601.    wt: 1:   Ages 10 to 12 Arithmetic
  602.    wt: 1:   Ages 9 to 10
  603.    wt: 1:   Ages 8 to 9
  604.    wt: 1:   Ages 7 to 8
  605.    wt: 1:   Ages 6 to 7
  606.    wt: 1:   Ages 4 plus to 5 plus
  607.    wt: 1:   26 Function definitions done and coming
  608.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  609.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  610.    wt: 1:   19 Horizontal line rule and method
  611.    wt: 1:   18 Vertical Line Rule and Method
  612.    wt: 1:   17 Function maxima minima and their location
  613.    wt: 1:   11 Function Domain Range Source and Targets
  614.    wt: 1:   9 Set theory term relation possible origins
  615.    wt: 1:   8 Set view of relations and functions
  616.    wt: 1:   6 Set Existence Formation and Notation
  617.    wt: 1:   4 Function notation in and beyond mathematics
  618.    wt: 1:   11 Growth and Decay in Biology
  619.    wt: 1:   10 Exponential Growth and Decay Models
  620.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  621.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  622.    wt: 1:   3 Polynomials Multiplication Addition
  623.    wt: 1:   16 cotangent function Definition Graph and Inverse
  624.    wt: 1:   15 cosecant function Definition Graph and Inverse
  625.    wt: 1:   14 secant function Definition Graph and Inverse
  626.    wt: 1:   3 Left Inverse of cosine arccos definition
  627.    wt: 1:   8 Radian Measures of Common Angles
  628.    wt: 1:   7 Radian Measures in special Triangles
  629.    wt: 1:   6 Radian Measure to Degrees
  630.    wt: 1:   5 Degrees to Radian Measure
  631.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  632.    wt: 1:   2 Radian Measure Numerical Value of one degree
  633.    wt: 1:   4 graphing y=Asin(x c)
  634.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  635.    wt: 1:   1 graphing y=f(x a)
  636.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  637.    wt: 1:   Triangle Angles Sum To 180 Degrees
  638.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  639.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  640.    wt: 1:   Straight Lines ASA Intersection Study More
  641.    wt: 1:   Straight Lines ASA Intersection Study
  642.    wt: 1:   Straight Lines Instersection Solving Equations
  643.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  644.    wt: 1:   C Straight Lines Slope from Coordinates
  645.    wt: 1:   B Straight Line Slope Scaling Properties More
  646.    wt: 1:   A Straight Line Slope Scaling Properties
  647.    wt: 1:   8 Straight Lines Equation for vertical
  648.    wt: 1:   7 Tangent Function is odd on this domain
  649.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  650.    wt: 1:   5 Tangent Function Graph
  651.    wt: 1:   4 Tangent Function Properties
  652.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  653.    wt: 1:   1 Straight Lines Slope Concept
  654.    wt: 1:   30 unit circle calculation of six trigonometric functions
  655.    wt: 1:   29 secant cosecant and cotangent for acute angles
  656.    wt: 1:   27 Logarithmic use of products of sines and cosines
  657.    wt: 1:   26 Formulas for products of sines and cosines
  658.    wt: 1:   24 tangent Angle Difference Formula
  659.    wt: 1:   21 sine and cosine Half Angle Formulas
  660.    wt: 1:   20 sine and cosine Double Angle Formulas
  661.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  662.    wt: 1:   17E Trig Formulas for dot and cross Products
  663.    wt: 1:   17D cis formulas for sine cosines and tangent
  664.    wt: 1:   17C sine and cosine double triple angle formulas
  665.    wt: 1:   17A The complex number valued trig function cis
  666.    wt: 1:   15 sine cosine Complementary Angle Relations
  667.    wt: 1:   13 Graph of tangent function many periods
  668.    wt: 1:   10 Graphs of sines and cosines many periods
  669.    wt: 1:   9 Graphs of sine and cosine over one period
  670.    wt: 1:   7 period of sine and cosine
  671.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  672.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  673.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  674.    wt: 1:   19 N th Roots of Unity
  675.    wt: 1:   18 Sixth Roots of Unity
  676.    wt: 1:   17 Cube Roots of unity
  677.    wt: 1:   15 Pythagorean Theorem Converse
  678.    wt: 1:   14 Law of cosines
  679.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  680.    wt: 1:   8 Unit Circle Development of Trigonometry
  681.    wt: 1:   7 Second Way to Calculate Products
  682.    wt: 1:   5 An Easy Proof of the Distributive Law
  683.    wt: 1:   4 Multiplication Properties
  684.    wt: 1:   1 Rectangular Polar Coordinates Review
  685.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  686.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  687.    wt: 1:   8 Similarity of Triangles and Polygons
  688.    wt: 1:   6 Geometric Diagrams in Class
  689.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  690.    wt: 1:   Four Simple Exercises
  691.    wt: 1:   12 Links Lessons elsewhere
  692.    wt: 1:   11 A Partial Summary
  693.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  694.    wt: 1:   8 Mid Point Formula
  695.    wt: 1:   6 Intersection of lines by solving linear systems
  696.    wt: 1:   5 Algebraic View of Slopes
  697.    wt: 1:   4 Equations for lines three forms
  698.    wt: 1:   2 point slope equation for a line
  699.    wt: 1:   PS G Rotation Distributes over Addition
  700.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  701.    wt: 1:   PS E Multiplication with Polar Coordinates
  702.    wt: 1:   PS D Addition with Cartesian Coordinates
  703.    wt: 1:   21 Parallelograms
  704.    wt: 1:   19 Right Triangle Similarity
  705.    wt: 1:   18 Triangle Similarity Take 1
  706.    wt: 1:   17 Right Bisectors of Triangle Sides
  707.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  708.    wt: 1:   14 Parallel Lines Postulate
  709.    wt: 1:   12 Side Angle Side Failure
  710.    wt: 1:   11 Triangle Construction Fails
  711.    wt: 1:   10 Dropping a perpendicular to line
  712.    wt: 1:   9 Construction of a right bisector
  713.    wt: 1:   8 Isoceles Triangles
  714.    wt: 1:   7 Angle Side Angle
  715.    wt: 1:   5 Side Angle Side
  716.    wt: 1:   4 Side Side Side
  717.    wt: 1:   2 Correspondence between Triangles
  718.    wt: 1:   Short Course on Euclidean Geometry
  719.    wt: 1:   21 Addition of Multiples of a Single Vector
  720.    wt: 1:   19 Signed Multiples of Vectors
  721.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  722.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  723.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  724.    wt: 1:   15 Head to Tails in place Addition Associative
  725.    wt: 1:   9 Division with Digits after Decimal Point
  726.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  727.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  728.    wt: 1:   4 Location of Point in Decimal Addition
  729.    wt: 1:   2 Counting Digits in Decimal Multiplication
  730.    wt: 1:   1 Fractions with Finite Decimal Expansions
  731.    wt: 1:   3 Inequalities Algebraically
  732.    wt: 1:   5 Proportionality in Equivalent Fractions
  733.    wt: 1:   2 Algebraic View
  734.    wt: 1:   1 What is Proportionality
  735.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  736.    wt: 1:   6 Compound Interest Forward and Backwards
  737.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  738.    wt: 1:   3 Linear Equation Literal Solution More
  739.    wt: 1:   5 Equality in Algebra
  740.    wt: 1:   1 Equivalent Computation Rules
  741.    wt: 1:   5 Greater More Less Than Signs in General
  742.    wt: 1:   9 Coordinates for Regions in Space
  743.    wt: 1:   2 Integers
  744.    wt: 1:   5 Independent versus Dependent Variables
  745.    wt: 1:   4 Changing Letters
  746.    wt: 1:   2 Computation Rules Evaluation
  747.    wt: 1:   More Exercises
  748.    wt: 1:   Simple Exercises
  749.    wt: 1:   4 GE III Animated Examples
  750.    wt: 1:   2 GE II Comparison
  751.    wt: 1:   1 GE Substitution four examples
  752.    wt: 1:   6 Algebraic Solution Example
  753.    wt: 1:   5 Algebraic Solutions Introduction
  754.    wt: 1:   4 Four Examples Fractional Coefficients
  755.    wt: 1:   2 Three Examples
  756.    wt: 1:   1 Proper Equal Sign Usage
  757.    wt: 1:   Using Letters for Physical Quantities
  758.    wt: 1:   Formula Usage Show Work Format
  759.    wt: 1:   13 Naming Identifying Formulas with Words
  760.    wt: 1:   3 Triangle Area Formula Example
  761.    wt: 1:   1 Written work formats for developing and showing skill
  762.    wt: 1:   9 Sets in Probability and Statistics
  763.    wt: 1:   8 Sets of Numbers
  764.    wt: 1:   3 Counting with Sets etc
  765.    wt: 1:   3 Adding Words To Arithmetic
  766.    wt: 1:   1 Three Skills For Algebra
  767.    wt: 1:   014 Counting Days with Calendars
  768.    wt: 1:   012 Division of Time Intervals by Time Intervals
  769.    wt: 1:   010 Repeated Addition of Time Intervals
  770.    wt: 1:   8 Addition of Time Intervals via subtotaling
  771.    wt: 1:   7 Addition of Time Intervals
  772.    wt: 1:   6 How long is a million seconds
  773.    wt: 1:   5 Conversion Arithmetic
  774.    wt: 1:   Example 2 volume of a cone
  775.    wt: 1:   Example 1 volume of a pyramid
  776.    wt: 1:   Volume of Solid by Cross Sections Lesson
  777.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  778.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  779.    wt: 1:   Area Between Curves Lesson Take 2
  780.    wt: 1:   Area Between Curves Lesson Take 1
  781.    wt: 1:   Summary
  782.    wt: 1:   A Related Material in Volume 3
  783.    wt: 1:   3 Two Chain Rule Method Exercises
  784.    wt: 1:   4 Second derivative test exercise example
  785.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  786.    wt: 1:   A Chain Rule Real Player video examples
  787.    wt: 1:   29 Chain Rule Optional Reading
  788.    wt: 1:   28 Chain Rule Preparation for a Proof
  789.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  790.    wt: 1:   26 Chain Rule Recognising outer inner functions
  791.    wt: 1:   25 Chain Rule Animated Examples Continued
  792.    wt: 1:   24 Chain Rule Animated Examples
  793.    wt: 1:   21 Chain Rule for powers
  794.    wt: 1:   20 Chain Rule for Pulley Systems
  795.    wt: 1:   19 Chain Rule for linear functions
  796.    wt: 1:   18 Chain Rule Introduction
  797.    wt: 1:   11 Quotient rule
  798.    wt: 1:   10 Power rule for negative integers
  799.    wt: 1:   9 Reciprocal rule
  800.    wt: 1:   8 Differentiation of polynomials
  801.    wt: 1:   7 Animated Differentiation Examples
  802.    wt: 1:   6 Power rule from product rule
  803.    wt: 1:   4 Sum Rule
  804.    wt: 1:   2 Motivation for Limit Definition Take 1
  805.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  806.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  807.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  808.    wt: 1:   G.5 Motions With Bounded Velocities
  809.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  810.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  811.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  812.    wt: 1:   F.5b Extreme Value Theorem
  813.    wt: 1:   F.4 Finite Covering Theorem
  814.    wt: 1:   F.2 Closed Range Theorem
  815.    wt: 1:   F.1 What Functions are Continuous
  816.    wt: 1:   E2 Algebraic Properties of Limits
  817.    wt: 1:   E1 Error Control Inequalities
  818.    wt: 1:   D2 Limits of Monotone Sequences
  819.    wt: 1:   C Triangle Inequalities
  820.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  821.    wt: 1:   A1. Introduction
  822.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  823.    wt: 1:   Chapter 21 Arrow Addition
  824.    wt: 1:   Chapter 18. Slopes Areas Integration
  825.    wt: 1:   Chapter 17. Area Approximation
  826.    wt: 1:   Chapter 16. Velocity Approximation
  827.    wt: 1:   Chapter 15. Slope Approximation
  828.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  829.    wt: 1:   Chapter 11. Graphing Slope versus Position
  830.    wt: 1:   Chapter 9 About First Courses in Calculus
  831.    wt: 1:   Chapter 8. Slope Interpretation
  832.    wt: 1:   Chapter 5. Slope Sign Tests
  833.    wt: 1:   Chapter 4. More Slope Sign Analysis
  834.    wt: 1:   Chapter 1.Introduction
  835.    wt: 1:   Foreword
  836.    wt: 1:   Postscript More on Better Performance
  837.    wt: 1:   Postscript For Better Performance
  838.    wt: 1:   Appendix B. How To Learn
  839.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  840.    wt: 1:   Chapter 28 Occurrence Tables
  841.    wt: 1:   Chapter 25. Mathematical Induction Examples
  842.    wt: 1:   Chapter 21. Third Reading Guide
  843.    wt: 1:   Chapter 18. Rules for Algebra
  844.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  845.    wt: 1:   Chapter 16. Painless Theorem Proving
  846.    wt: 1:   Chapter 15. Solving Linear Equations
  847.    wt: 1:   Postscript What is a Variable
  848.    wt: 1:   Solutions For Arithmetic Exercises
  849.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  850.    wt: 1:   Chapter 6 Change of Language
  851.    wt: 1:   Chapter 4 Longer Chains of Reason
  852.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  853.    wt: 1:   Foreword
  854.    wt: 1:   Postscript A Three Remarks
  855.    wt: 1:   Chapter 2 For and Against Mathematics
  856.    wt: 1:   Postscript B More on Story Telling and Reason
  857.    wt: 1:   Chapter 24 Direct and Indirect Reason
  858.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  859.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  860.    wt: 1:   Chapter 18 Sense and Knowledge
  861.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  862.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  863.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  864.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  865.    wt: 1:   S Adding words to algebra
  866.    wt: 1:   N Mathematics Prepare for College Studies
  867.    wt: 1:   H more Routine to non routine problem solving
  868.    wt: 1:   F. The student teacher tutor feedback loop
  869.    wt: 1:   D. Check work a must with a caution
  870.    wt: 1:   B. Domino effect of errors
  871.    wt: 1:   A. Skill has to be seen to believed
  872.    wt: 1:   Chapter 8 Skipped Topics and Why
  873.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  874.    wt: 1:   Chapter 6 More Algebra and Geometry
  875.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  876.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  877.    wt: 1:   Mathematics Education References
  878.    wt: 1:   Mathematics Education References
  879.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  880.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  881.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  882.    wt: 1:   Which Way To Go
  883.    wt: 1:   The Math Forum and Site Content
  884.    wt: 11:   3 video Primes and Composites from 9 times table
  885.    wt: 11:   3 Harder Cases Convert to Compare and Subtract
  886.    wt: 11:   3. How to add with decimals A sans conversions
  887.    wt: 10:   3 Comparison of Negative Numbers
  888.    wt: 10:   13 video Factors of 24 using prime
  889.    wt: 10:   3 More One Digit Multipliers
  890.    wt: 10:   Appendix 2 Three Decimal Subtraction Methods
  891.    wt: 10:   Subtraction Another Video Lesson
  892.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  893.    wt: 10:   1 Comparison and Subtraction Easy Direct Cases
  894.    wt: 10:   8 What skills and work habits to require
  895.    wt: 10:   6. Counting and adding units and mixed units

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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