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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67 matches:

  1.    wt: 6:   9 Combinatorics Trees Tables and Products/
  2.    wt: 4:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 4:   9 Lines and Slopes Take 2 with tangent function/
  4.    wt: 4:   8 Arithmetic with Signed Numbers/
  5.    wt: 4:   3 Prime Factorization Skills/
  6.    wt: 4:   Mathematics Skill Development Framework/
  7.    wt: 3:   LAMP Lean Applied Mathematics Program/
  8.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 3:   Mathematics Education Essays/
  10.    wt: 3:   8 Unit Circle Trigonometry/
  11.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  12.    wt: 3:   11 Squares and Square Roots/
  13.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  14.    wt: 3:   7 Arithmetic and Fractions with Units/
  15.    wt: 3:   6 Fractions and Ratios/
  16.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  17.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  18.    wt: 3:   A Decimal Counting and Adding Methods/
  19.    wt: 2:   Parent Center/
  20.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  21.    wt: 2:   13 Vectors/
  22.    wt: 2:   12 Function Translating and Rescaling/
  23.    wt: 2:   11 Parallel Straight Lines and Transversals/
  24.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 2:   4 Lines and Slopes Take 1/
  26.    wt: 2:   3 Cartesian and Polar Coordinates/
  27.    wt: 2:   9 Proportionality Backwards and Forwards/
  28.    wt: 2:   5 Integers/
  29.    wt: 2:   D Decimal Long Division Methods/
  30.    wt: 2:   C Decimal Multiplication Methods/
  31.    wt: 2:   2 Arithmetic with Decimals/
  32.    wt: 2:   1 Decimal Place Value/
  33.    wt: 2:   Arithmetic and Number Theory Skills/
  34.    wt: 2:   Work and Study Tips/
  35.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  36.    wt: 1:   Archives/
  37.    wt: 1:   Volume 1A Regles et modeles/
  38.    wt: 1:   francais/
  39.    wt: 1:   Direct Current Electric Circuits/
  40.    wt: 1:   Mathematics Skills Year by Year/
  41.    wt: 1:   4 Functions/
  42.    wt: 1:   3 Quadratics Geometrically/
  43.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  44.    wt: 1:   1 Five Polynomial Operations/
  45.    wt: 1:   More Algebra/
  46.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  47.    wt: 1:   7 Complex Numbers/
  48.    wt: 1:   6 Trigonometry first steps/
  49.    wt: 1:   5 What is Similarity/
  50.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  51.    wt: 1:   1 Maps Plans Measurement/
  52.    wt: 1:   Geometry maps plans trigonometry vectors/
  53.    wt: 1:   B Real Numbers Extrinsic Development/
  54.    wt: 1:   A Origins of Counting and Figuring Methods/
  55.    wt: 1:   8 Unifying Theme For Algebra/
  56.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  57.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  58.    wt: 1:   4 Computation Rules and Function Notation/
  59.    wt: 1:   Step 1 Stick diagram and fractions/
  60.    wt: 1:   Time Date Matters/
  61.    wt: 1:   Skills with take home value/
  62.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  63.    wt: 1:   38 Lessons on Calculating Derivatives/
  64.    wt: 1:   13 Lessons on Limits and Continuity/
  65.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  66.    wt: 1:   Volume 2 Three Skills For Algebra/
  67.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

502 matches:

  1.    wt: 4:   Ages 8 to 9
  2.    wt: 4:   9 video Prime Factorization upto 19 squared
  3.    wt: 4:   8 video Prime Factorization upto 19
  4.    wt: 4:   8 What skills and work habits to require
  5.    wt: 3:   Ages 12 to 14 Skills with take home value
  6.    wt: 3:   Ages 9 to 10
  7.    wt: 3:   Ages 7 to 8
  8.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  9.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  10.    wt: 3:   13 From one to one to many to one
  11.    wt: 3:   8 Notes for instructors or tutors
  12.    wt: 3:   9 Summary Degrees to Radians and back
  13.    wt: 3:   7 Exercises to test skill and concept mastery
  14.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  15.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  16.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  17.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  18.    wt: 3:   18 video Count Factors given Prime Factorization
  19.    wt: 3:   16 video Factors of 980 using prime
  20.    wt: 3:   7 Calculator Usage Notes and Cautions
  21.    wt: 3:   38 Formulas and derivatives for powers and roots
  22.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  23.    wt: 3:   I. Logic and language skills
  24.    wt: 3:   A. Skill has to be seen to believed
  25.    wt: 3:   How to Build Skills and Confidence
  26.    wt: 3:   Chapter 8 Skipped Topics and Why
  27.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  28.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  29.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  30.    wt: 2:   9 combinatorics probability sets
  31.    wt: 2:   Applied Maths Program14092009 POMME variant
  32.    wt: 2:   04 25 when to stop or suspend mathemat
  33.    wt: 2:   How to be a better instructor
  34.    wt: 2:   Home Tutoring and Home Schooling
  35.    wt: 2:   24 Standards For Skill Develoment Take II
  36.    wt: 2:   24 Standards For Skill Develoment
  37.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  38.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  39.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  40.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  41.    wt: 2:   17 Math Booklets for children and young teenagers
  42.    wt: 2:   2 Reading and Writing Skills
  43.    wt: 2:   Ages 12 to 14 Geometry
  44.    wt: 2:   Ages 12 to 14 Arithmetic
  45.    wt: 2:   Ages 10 to 12 Geometry
  46.    wt: 2:   Ages 10 to 12 Arithmetic
  47.    wt: 2:   Ages 6 to 7
  48.    wt: 2:   Ages 4 plus to 5 plus
  49.    wt: 2:   Ages 3 plus to 4 plus
  50.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  51.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  52.    wt: 2:   19 Horizontal line rule and method
  53.    wt: 2:   18 Vertical Line Rule and Method
  54.    wt: 2:   8 Set view of relations and functions
  55.    wt: 2:   9 quadratics physical and further context
  56.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  57.    wt: 2:   9 Head to Tail Coordinate View
  58.    wt: 2:   8 Parallel Vectors
  59.    wt: 2:   Vector and Complex Number Applet
  60.    wt: 2:   Triangle Angles Sum To 180 Degrees
  61.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  62.    wt: 2:   29 secant cosecant and cotangent for acute angles
  63.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  64.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  65.    wt: 2:   14 cosine even and sine and tangent are odd
  66.    wt: 2:   9 Graphs of sine and cosine over one period
  67.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  68.    wt: 2:   8 Unit Circle Development of Trigonometry
  69.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  70.    wt: 2:   8 Similarity of Triangles and Polygons
  71.    wt: 2:   4 Polar Coordinates to and from
  72.    wt: 2:   9 Construction of a right bisector
  73.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  74.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  75.    wt: 2:   3 Lengths and Areas on Maps and Plans
  76.    wt: 2:   19 Signed Multiples of Vectors
  77.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  78.    wt: 2:   13 Arrows and Vectors in a Plane
  79.    wt: 2:   8 Division and Mulplication of Compound Fractions
  80.    wt: 2:   2 Combing Counts Addition Skills and Principles
  81.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  82.    wt: 2:   2 More and Less Than for Counts and Measures
  83.    wt: 2:   8 Coordinates for Maps and Planes
  84.    wt: 2:   Skill Development Notes
  85.    wt: 2:   1 Written work formats for developing and showing skill
  86.    wt: 2:   9 Sets in Probability and Statistics
  87.    wt: 2:   4 A Brief Story of numbers and algebra
  88.    wt: 2:   1 More and Less Than for Counts and Measures
  89.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  90.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  91.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  92.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  93.    wt: 2:   7 GCD and LCM from prime factorization
  94.    wt: 2:   4 LCM of 8 and 10 via Prime
  95.    wt: 2:   12 GCD 2700 288 via Prime
  96.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  97.    wt: 2:   19 Dividing Fractions How TO
  98.    wt: 2:   18 Efficient Ways to Multiply
  99.    wt: 2:   17 Efficient Ways to Add and Subtract
  100.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  101.    wt: 2:   14 Adding and Subtracting with Like Denominators
  102.    wt: 2:   9 Improper Fractions and Mixed Numbers
  103.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  104.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  105.    wt: 2:   19 video Prime Factorization Unique
  106.    wt: 2:   17 Identify and Count Factors using Primes
  107.    wt: 2:   15 video Factors of 20 using Prime Factorization
  108.    wt: 2:   10 video Prime Factorization upto 23 squared
  109.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  110.    wt: 2:   5 Prime Factorization and a Square Rule
  111.    wt: 2:   3 video Primes and Composites from 9 times table
  112.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  113.    wt: 2:   6. Counting and adding units and mixed units
  114.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  115.    wt: 2:   Quick history of numbers and algebra
  116.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  117.    wt: 2:   8 Addition of Time Intervals via subtotaling
  118.    wt: 2:   1 Intro of Kids To Time Date Skills
  119.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  120.    wt: 2:   9 Limits Continuity and Composition
  121.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  122.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  123.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  124.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  125.    wt: 2:   Fall 1983 Calculus Appetizer
  126.    wt: 2:   Appendix E. How To Study Mathematics and Why
  127.    wt: 2:   Appendix D. What to do in School and Why
  128.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  129.    wt: 2:   Chapter 19. Functions and Sets
  130.    wt: 2:   Chapter 12. Shorthand Usage Guide
  131.    wt: 2:   Chapter 8 Three Skills For Algebra
  132.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  133.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  134.    wt: 2:   Postscript B More on Story Telling and Reason
  135.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  136.    wt: 2:   Chapter 18 Sense and Knowledge
  137.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  138.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  139.    wt: 2:   Chapter 8 Change of Language
  140.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  141.    wt: 2:   Chapter 2 Skill Development
  142.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  143.    wt: 2:   J. More on written work and showing skill
  144.    wt: 2:   G. Written work formats for developing and showing skill
  145.    wt: 2:   E. When and how to correct errors
  146.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  147.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  148.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  149.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  150.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  151.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  152.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  153.    wt: 2:   Systematic Algebra Skill Development Missing Links
  154.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  155.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  156.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  157.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  158.    wt: 1:   Appendix 1 primary and preschool mathematic
  159.    wt: 1:   G LAMP Introduction Problem Solving Skills
  160.    wt: 1:   Skills Chapter 5 Calculus
  161.    wt: 1:   Skills Chapter 4 Logic
  162.    wt: 1:   Skills Chapter 3 Algebra
  163.    wt: 1:   Skills Chapter 2 Geometry
  164.    wt: 1:   Skills Chapter 1 Arithmetic
  165.    wt: 1:   Skills Chapter 0 Introduction
  166.    wt: 1:   8 analytic geometry etc
  167.    wt: 1:   7 logic review and decimals an odd combination
  168.    wt: 1:   5 logarithms and exponentials etc
  169.    wt: 1:   which way to go
  170.    wt: 1:   three goals to set for students
  171.    wt: 1:   key notes and themes
  172.    wt: 1:   grouping students according to ability
  173.    wt: 1:   what should be learnt and When
  174.    wt: 1:   What to Tell Students
  175.    wt: 1:   teaching tutoring algebraic reason
  176.    wt: 1:   05 13 OldSiteEntrancePage
  177.    wt: 1:   04 29 New Mathematics Curriculum
  178.    wt: 1:   standards for course material
  179.    wt: 1:   Operational Viewpoint to Value
  180.    wt: 1:   Education in mathematics science and technology
  181.    wt: 1:   Four ways to improve education reform
  182.    wt: 1:   Motivation and Context Problem
  183.    wt: 1:   fairness and inductive principles for instruction
  184.    wt: 1:   words for mathematics instructor
  185.    wt: 1:   chapitre 04 09 Regles accidentelles
  186.    wt: 1:   chapitre 04 08 Limitations et benefices
  187.    wt: 1:   chapitre 04 06 engagements
  188.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  189.    wt: 1:   4 Energy Power Heat09
  190.    wt: 1:   3 Energy Power Heat08
  191.    wt: 1:   3 Like resistors in parallel
  192.    wt: 1:   2 Unlike resistors in parallel01
  193.    wt: 1:   1 Like resistors in series
  194.    wt: 1:   F Unlike Resistors in Series
  195.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  196.    wt: 1:   22 Student Centered Highschool Mathematics
  197.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  198.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  199.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  200.    wt: 1:   18 Primary School Mathematics
  201.    wt: 1:   14 Multiplication and Times Tables
  202.    wt: 1:   13 Addition and Addition Tables
  203.    wt: 1:   12 Goals and Objectives For Mathematics
  204.    wt: 1:   11 Help and Defend Your Child or Teens Education
  205.    wt: 1:   9 Streaming by Student Cooperation
  206.    wt: 1:   8 The Effect of Negative Remarks
  207.    wt: 1:   5 Patience Please for Yourself and Your Charges
  208.    wt: 1:   4 Learning Takes Time and Effort
  209.    wt: 1:   1 Speaking Skills
  210.    wt: 1:   26 Function definitions done and coming
  211.    wt: 1:   17 Function maxima minima and their location
  212.    wt: 1:   11 Function Domain Range Source and Targets
  213.    wt: 1:   9 Set theory term relation possible origins
  214.    wt: 1:   6 Set Existence Formation and Notation
  215.    wt: 1:   4 Function notation in and beyond mathematics
  216.    wt: 1:   8 quadratics backward use of various formulas
  217.    wt: 1:   3 quadratics factoring by inspection
  218.    wt: 1:   11 Growth and Decay in Biology
  219.    wt: 1:   10 Exponential Growth and Decay Models
  220.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  221.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  222.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  223.    wt: 1:   5 Natural Logarithm Calculator Exercises
  224.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  225.    wt: 1:   1 Calculator Starter Exercises
  226.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  227.    wt: 1:   16 cotangent function Definition Graph and Inverse
  228.    wt: 1:   15 cosecant function Definition Graph and Inverse
  229.    wt: 1:   14 secant function Definition Graph and Inverse
  230.    wt: 1:   13 cosecant function Definition Graph and Inverse
  231.    wt: 1:   9 motivation for name arcsin
  232.    wt: 1:   8 arcsin left inverse of sine Graph
  233.    wt: 1:   8 Radian Measures of Common Angles
  234.    wt: 1:   6 Radian Measure to Degrees
  235.    wt: 1:   5 Degrees to Radian Measure
  236.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  237.    wt: 1:   1 Degrees and Radians Introduction
  238.    wt: 1:   A Global Time and Navigation
  239.    wt: 1:   15 Dot and Cross Product
  240.    wt: 1:   13 Velocity Vectors in Physics
  241.    wt: 1:   12 From Applied To Pure Mathematics
  242.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  243.    wt: 1:   6 Vectors with Coordinates
  244.    wt: 1:   5 Head To Tail Arrow Addition
  245.    wt: 1:   3 Navigation with Arrows or Vectors
  246.    wt: 1:   Parallel Lines and Parallel Transversals
  247.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  248.    wt: 1:   Parallel Lines and Interior Angles
  249.    wt: 1:   9 Straight Lines through Origin Equations
  250.    wt: 1:   8 Straight Lines Equation for vertical
  251.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  252.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  253.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  254.    wt: 1:   28 Expressing products of sines cosines as sums
  255.    wt: 1:   27 Logarithmic use of products of sines and cosines
  256.    wt: 1:   26 Formulas for products of sines and cosines
  257.    wt: 1:   21 sine and cosine Half Angle Formulas
  258.    wt: 1:   20 sine and cosine Double Angle Formulas
  259.    wt: 1:   18 sum of sinusoidal waves as a single wave
  260.    wt: 1:   17E Trig Formulas for dot and cross Products
  261.    wt: 1:   17D cis formulas for sine cosines and tangent
  262.    wt: 1:   17C sine and cosine double triple angle formulas
  263.    wt: 1:   10 Graphs of sines and cosines many periods
  264.    wt: 1:   8 period of tangent function
  265.    wt: 1:   7 period of sine and cosine
  266.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  267.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  268.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  269.    wt: 1:   Unit Circle Development of Trigonometry
  270.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  271.    wt: 1:   21 Logarithms Powers and Exponentials
  272.    wt: 1:   19 N th Roots of Unity
  273.    wt: 1:   18 Sixth Roots of Unity
  274.    wt: 1:   16 References and Originality Question
  275.    wt: 1:   13 Trig Formulas for dot and cross Products
  276.    wt: 1:   12 cis formulas for sine cosines and tangent
  277.    wt: 1:   11 sine and cosine double triple angle formulas
  278.    wt: 1:   9 The complex number valued trig function cis
  279.    wt: 1:   7 Second Way to Calculate Products
  280.    wt: 1:   8 Triangles Cascade Problem Solving
  281.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  282.    wt: 1:   3 Trigonometric Ratios sine and cosine
  283.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  284.    wt: 1:   9 Similarity of Triangles Usual Criteria
  285.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  286.    wt: 1:   10 Midpoint of [a b] and [b a]
  287.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  288.    wt: 1:   8 Mid Point Formula
  289.    wt: 1:   1 Numerical view of lines and their equations
  290.    wt: 1:   What is and is not here
  291.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  292.    wt: 1:   8 Distance Between Points on a Line
  293.    wt: 1:   6 Polar Multiplication and Rotation
  294.    wt: 1:   5 Cartesian Addition and Translation
  295.    wt: 1:   19 Right Triangle Similarity
  296.    wt: 1:   18 Triangle Similarity Take 1
  297.    wt: 1:   17 Right Bisectors of Triangle Sides
  298.    wt: 1:   16 Angles Subtended By Chords and Diameters
  299.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  300.    wt: 1:   10 Dropping a perpendicular to line
  301.    wt: 1:   8 Isoceles Triangles
  302.    wt: 1:   6 Ruler and compass Angle Bisection
  303.    wt: 1:   1 Initial Concepts and Terms
  304.    wt: 1:   6 Figuring with Maps Not to Scale
  305.    wt: 1:   4 Angles on Maps Plans drawn to scale
  306.    wt: 1:   A Modular and Remainder Arithmetic
  307.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  308.    wt: 1:   21 Addition of Multiples of a Single Vector
  309.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  310.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  311.    wt: 1:   15 Head to Tails in place Addition Associative
  312.    wt: 1:   11 Signed Number Addition and Addition Properties
  313.    wt: 1:   9 Division with Digits after Decimal Point
  314.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  315.    wt: 1:   B Decimal Comparison and Subtraction
  316.    wt: 1:   8 Column Multiplication Methods in General
  317.    wt: 1:   3 Multiplicative Counting Skills Principles
  318.    wt: 1:   4 Fraction Operations Axiomatic Development
  319.    wt: 1:   2 Fraction Operations Physical Development
  320.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  321.    wt: 1:   4 Rates Ratios and Proporitionality
  322.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  323.    wt: 1:   6 Compound Interest Forward and Backwards
  324.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  325.    wt: 1:   6 Equations and Systems Equivalent or Implied
  326.    wt: 1:   4 Subtraction and Division Axioms
  327.    wt: 1:   2 Addition and Multiplication Axioms
  328.    wt: 1:   3 More and Less Than with Unlike Signs
  329.    wt: 1:   10 Real Number Lengths and Signs
  330.    wt: 1:   9 Coordinates for Regions in Space
  331.    wt: 1:   1 Whole and Natural Numbers
  332.    wt: 1:   3 Geometric Formulas and Function Notation
  333.    wt: 1:   1 Formulas Dependence and Function Notation
  334.    wt: 1:   3 GE III Equation Addition and Multiplication
  335.    wt: 1:   1 Proper Equal Sign Usage
  336.    wt: 1:   9 Three Examples
  337.    wt: 1:   8 One Example
  338.    wt: 1:   Formula Usage Show Work Format
  339.    wt: 1:   9 Volume of Cone
  340.    wt: 1:   8 Compound Interest Formula Evaluation
  341.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  342.    wt: 1:   8 Sets of Numbers
  343.    wt: 1:   5 Talking about Numbers and Quantities
  344.    wt: 1:   3 Adding Words To Arithmetic
  345.    wt: 1:   1 Three Skills For Algebra
  346.    wt: 1:   2 More and Less Than with Unlike Signs
  347.    wt: 1:   1 Squares and Square Roots Introduction
  348.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  349.    wt: 1:   13 GCD from given Prime Factorization
  350.    wt: 1:   8 GCD from Euclidean Algorithm
  351.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  352.    wt: 1:   2 Least Common Multiple LCM intro via list method
  353.    wt: 1:   3 Counting with Tables and Trees II
  354.    wt: 1:   2 Counting with Tables and Trees I
  355.    wt: 1:   1 Counting and Counting Methods I
  356.    wt: 1:   11 What are real lengths and numbers
  357.    wt: 1:   9 subtracting signed numbers
  358.    wt: 1:   8 multiplying signed numbers
  359.    wt: 1:   7 negative and additive inverse
  360.    wt: 1:   5 lengths and signs of numbers
  361.    wt: 1:   3 signed coordinates for maps and planes
  362.    wt: 1:   2 signed and unsigned numbers as coordinates
  363.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  364.    wt: 1:   3 Multiplying Units and Numbers
  365.    wt: 1:   2 Equality and Units
  366.    wt: 1:   1 Addition and Subtraction with Units
  367.    wt: 1:   B Fractions and Two Term Ratios
  368.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  369.    wt: 1:   21 Reciprocals for Fractions and Wholes
  370.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  371.    wt: 1:   8 Numerals Fractionals Quantals Take II
  372.    wt: 1:   11 Adding Integers Formulas and Examples
  373.    wt: 1:   9 Multiplying Integers
  374.    wt: 1:   8 Multiplication by Signed Numbers Integers
  375.    wt: 1:   5 Zero Movement and Additive Inverses
  376.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  377.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  378.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  379.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  380.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  381.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  382.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  383.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  384.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  385.    wt: 1:   20 Uniqueness of Prime Factorization
  386.    wt: 1:   14 video Factors of 24 Take II
  387.    wt: 1:   13 video Factors of 24 using prime
  388.    wt: 1:   12 LCD GCD and LCM using Primes
  389.    wt: 1:   4 video Prime Factorization Introduction
  390.    wt: 1:   2 Prime and Composites less than 16
  391.    wt: 1:   1 video how Products are bigger than factor
  392.    wt: 1:   Division with Counts and Length
  393.    wt: 1:   Long Division forwards and backwards Example 3
  394.    wt: 1:   Long Division forwards and backwards Example 2
  395.    wt: 1:   Long Division forwards and backwards Example 1
  396.    wt: 1:   10 Division by Five Long and Short Ways
  397.    wt: 1:   9 Why Long Division Works Take II
  398.    wt: 1:   8 Correcting the Mistake
  399.    wt: 1:   4 Two and Three Digit Multipliers
  400.    wt: 1:   9 22 Minute Subtraction Review Video
  401.    wt: 1:   8 Subtraction with Units of Measure
  402.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  403.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  404.    wt: 1:   5. How to add decimals C. Examples
  405.    wt: 1:   4. How to add with decimals B with conversions
  406.    wt: 1:   3. How to add with decimals A sans conversions
  407.    wt: 1:   11 Place Value SI Standard International way
  408.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  409.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  410.    wt: 1:   Exact Arithmetic Wholes and Fractions
  411.    wt: 1:   Formula Evaluation how to show work
  412.    wt: 1:   Expression Evaluation how to show work
  413.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  414.    wt: 1:   015 School and work day counting tables
  415.    wt: 1:   4 Mixing and Changing Units of Time
  416.    wt: 1:   3 Units and Lengths of Time
  417.    wt: 1:   2 Time and Date Matters in School
  418.    wt: 1:   Example 1. Area Between x and x squared
  419.    wt: 1:   29 Chain Rule Optional Reading
  420.    wt: 1:   28 Chain Rule Preparation for a Proof
  421.    wt: 1:   19 Chain Rule for linear functions
  422.    wt: 1:   18 Chain Rule Introduction
  423.    wt: 1:   17 Derivatives of quotients of sine and cosine
  424.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  425.    wt: 1:   15 sine and cosine derivatives 3rd step
  426.    wt: 1:   14 sine and cosine derivatives 2nd step
  427.    wt: 1:   13 sine and cosine derivatives 1st step
  428.    wt: 1:   9 Reciprocal rule
  429.    wt: 1:   8 Differentiation of polynomials
  430.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  431.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  432.    wt: 1:   8 Four Animated Examples
  433.    wt: 1:   5 Jumps and absence of unlimited error control
  434.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  435.    wt: 1:   D2 Limits of Monotone Sequences
  436.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  437.    wt: 1:   PostScript For and Against Decimal Perspectives
  438.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  439.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  440.    wt: 1:   Chapter 23 Links To Trigonometry
  441.    wt: 1:   Chapter 18. Slopes Areas Integration
  442.    wt: 1:   Chapter 12. Units and Slopes
  443.    wt: 1:   Chapter 10 Slopes and Units
  444.    wt: 1:   Chapter 9 About First Courses in Calculus
  445.    wt: 1:   Chapter 8. Slope Interpretation
  446.    wt: 1:   Chapter 7 Slopes and Velocity
  447.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  448.    wt: 1:   Chapter 2. Slopes and Ski Trails
  449.    wt: 1:   Appendix C. How to Read
  450.    wt: 1:   Appendix B. How To Learn
  451.    wt: 1:   Chapter 31 Direct and Indirect Reason
  452.    wt: 1:   Chapter 28 Occurrence Tables
  453.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  454.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  455.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  456.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  457.    wt: 1:   Chapter 20. Degrees and Radians
  458.    wt: 1:   Chapter 18. Rules for Algebra
  459.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  460.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  461.    wt: 1:   Chapter 11. Why Shorthand
  462.    wt: 1:   Chapter 10 Describing and Changing Calculations
  463.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  464.    wt: 1:   Chapter 6 Change of Language
  465.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  466.    wt: 1:   Annotated Links to Material Elsehwere
  467.    wt: 1:   Chapter 9 The Two Ends
  468.    wt: 1:   Chapter 8 Modern Instruction
  469.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  470.    wt: 1:   Chapter 2 For and Against Mathematics
  471.    wt: 1:   Postscript C Consistency as a Tool for Reason
  472.    wt: 1:   Postscript A Story Telling
  473.    wt: 1:   Chapter 24 Direct and Indirect Reason
  474.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  475.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  476.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  477.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  478.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  479.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  480.    wt: 1:   S Adding words to algebra
  481.    wt: 1:   R Why Learn Mathematics Skills
  482.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  483.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  484.    wt: 1:   O On Learning Mathematics and Science
  485.    wt: 1:   M Words to extend arithmetic
  486.    wt: 1:   L Skills with take home value
  487.    wt: 1:   N Improving Marks on Tests and Finals
  488.    wt: 1:   H more Routine to non routine problem solving
  489.    wt: 1:   H Jigsaw puzzles and problem solving
  490.    wt: 1:   F. The student teacher tutor feedback loop
  491.    wt: 1:   D. Check work a must with a caution
  492.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  493.    wt: 1:   Chapter 6 More Algebra and Geometry
  494.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  495.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  496.    wt: 1:   7 Games and Activities for Instruction
  497.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  498.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  499.    wt: 1:   Helping the Blind in Logic and Mathematics
  500.    wt: 1:   More Algebra and Slope based Calculus Preview
  501.    wt: 1:   Which Way To Go
  502.    wt: 1:   The Math Forum and Site Content

Extended Search

1046 matches:

  1.    wt: 9:   9 video Prime Factorization upto 19 squared
  2.    wt: 9:   8 video Prime Factorization upto 19
  3.    wt: 8:   18 video Count Factors given Prime Factorization
  4.    wt: 8:   8 What skills and work habits to require
  5.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  6.    wt: 7:   9 Summary Degrees to Radians and back
  7.    wt: 7:   8 Radian Measures of Common Angles
  8.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  9.    wt: 7:   5 Counting with Tables Trees Product Rule Take II
  10.    wt: 7:   4 Counting with Trees Product Rule Take I
  11.    wt: 7:   3 Counting with Tables and Trees II
  12.    wt: 7:   2 Counting with Tables and Trees I
  13.    wt: 7:   1 Counting and Counting Methods I
  14.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  15.    wt: 7:   14 Adding and Subtracting with Like Denominators
  16.    wt: 7:   19 video Prime Factorization Unique
  17.    wt: 7:   16 video Factors of 980 using prime
  18.    wt: 7:   7 Calculator Usage Notes and Cautions
  19.    wt: 7:   1 Links to Online Resources Elsewhere Take 1
  20.    wt: 7:   Ends Values Methods For Skill Development Framework Prequel
  21.    wt: 6:   Appendix 1 primary and preschool mathematic
  22.    wt: 6:   9 combinatorics probability sets
  23.    wt: 6:   How to be a better instructor
  24.    wt: 6:   Ages 8 to 9
  25.    wt: 6:   7 Radian Measures in special Triangles
  26.    wt: 6:   6 Radian Measure to Degrees
  27.    wt: 6:   5 Degrees to Radian Measure
  28.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  29.    wt: 6:   8 Straight Lines Equation for vertical
  30.    wt: 6:   29 secant cosecant and cotangent for acute angles
  31.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  32.    wt: 6:   arithmetic videos Real Player Format
  33.    wt: 6:   4 LCM of 8 and 10 via Prime
  34.    wt: 6:   9 subtracting signed numbers
  35.    wt: 6:   8 multiplying signed numbers
  36.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  37.    wt: 6:   19 Dividing Fractions How TO
  38.    wt: 6:   18 Efficient Ways to Multiply
  39.    wt: 6:   17 Efficient Ways to Add and Subtract
  40.    wt: 6:   9 Improper Fractions and Mixed Numbers
  41.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  42.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  43.    wt: 6:   17 Identify and Count Factors using Primes
  44.    wt: 6:   15 video Factors of 20 using Prime Factorization
  45.    wt: 6:   10 video Prime Factorization upto 23 squared
  46.    wt: 6:   6 Sieve of Eratosthenes and Square Rule
  47.    wt: 6:   5 Prime Factorization and a Square Rule
  48.    wt: 6:   3 video Primes and Composites from 9 times table
  49.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  50.    wt: 6:   I. Logic and language skills
  51.    wt: 6:   Primary and Secondary Skills and Practices with Take Home Value
  52.    wt: 6:   Helping the Blind in Logic and Mathematics
  53.    wt: 6:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  54.    wt: 6:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  55.    wt: 6:   Systematic Algebra Skill Development Missing Links
  56.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  57.    wt: 6:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  58.    wt: 6:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  59.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  60.    wt: 5:   Appendix 2 primary school Arithmetic 01
  61.    wt: 5:   B LAMP Introduction Curriculum Development Standards
  62.    wt: 5:   8 analytic geometry etc
  63.    wt: 5:   Applied Maths Program14092009 POMME variant
  64.    wt: 5:   04 25 when to stop or suspend mathemat
  65.    wt: 5:   Ages 9 to 10
  66.    wt: 5:   8 Notes for instructors or tutors
  67.    wt: 5:   2 Radian Measure Numerical Value of one degree
  68.    wt: 5:   1 Degrees and Radians Introduction
  69.    wt: 5:   9 Head to Tail Coordinate View
  70.    wt: 5:   8 Parallel Vectors
  71.    wt: 5:   9 Straight Lines through Origin Equations
  72.    wt: 5:   7 Tangent Function is odd on this domain
  73.    wt: 5:   1 Straight Lines Slope Concept
  74.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  75.    wt: 5:   20 sine and cosine Double Angle Formulas
  76.    wt: 5:   14 cosine even and sine and tangent are odd
  77.    wt: 5:   9 Graphs of sine and cosine over one period
  78.    wt: 5:   3 sines and cosines for reference angle 90 degrees
  79.    wt: 5:   2 Quadrant I reference Angles
  80.    wt: 5:   1 Unit Points Reflections Rotations
  81.    wt: 5:   7 Exercises to test skill and concept mastery
  82.    wt: 5:   musings do not puiblish real numbers
  83.    wt: 5:   1 More and Less Than for Counts and Measures
  84.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  85.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  86.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  87.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  88.    wt: 5:   7 GCD and LCM from prime factorization
  89.    wt: 5:   12 GCD 2700 288 via Prime
  90.    wt: 5:   11 What are real lengths and numbers
  91.    wt: 5:   7 negative and additive inverse
  92.    wt: 5:   5 lengths and signs of numbers
  93.    wt: 5:   3 signed coordinates for maps and planes
  94.    wt: 5:   2 signed and unsigned numbers as coordinates
  95.    wt: 5:   B Fractions and Two Term Ratios
  96.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  97.    wt: 5:   21 Reciprocals for Fractions and Wholes
  98.    wt: 5:   16 Addition Subtraction Comparision Compared
  99.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  100.    wt: 5:   8 Numerals Fractionals Quantals Take II
  101.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  102.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  103.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  104.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  105.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  106.    wt: 5:   20 Uniqueness of Prime Factorization
  107.    wt: 5:   14 video Factors of 24 Take II
  108.    wt: 5:   13 video Factors of 24 using prime
  109.    wt: 5:   12 LCD GCD and LCM using Primes
  110.    wt: 5:   4 video Prime Factorization Introduction
  111.    wt: 5:   2 Prime and Composites less than 16
  112.    wt: 5:   1 video how Products are bigger than factor
  113.    wt: 5:   9 22 Minute Subtraction Review Video
  114.    wt: 5:   8 Subtraction with Units of Measure
  115.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  116.    wt: 5:   6. Counting and adding units and mixed units
  117.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  118.    wt: 5:   38 Formulas and derivatives for powers and roots
  119.    wt: 5:   A. Skill has to be seen to believed
  120.    wt: 5:   How to Build Skills and Confidence
  121.    wt: 5:   Mathematics Education References
  122.    wt: 5:   Mathematics Education References
  123.    wt: 5:   More Algebra and Slope based Calculus Preview
  124.    wt: 5:   Which Way To Go
  125.    wt: 4:   G LAMP Introduction Problem Solving Skills
  126.    wt: 4:   Skills Chapter 5 Calculus
  127.    wt: 4:   Skills Chapter 4 Logic
  128.    wt: 4:   Skills Chapter 3 Algebra
  129.    wt: 4:   Skills Chapter 2 Geometry
  130.    wt: 4:   Skills Chapter 1 Arithmetic
  131.    wt: 4:   Skills Chapter 0 Introduction
  132.    wt: 4:   7 logic review and decimals an odd combination
  133.    wt: 4:   5 logarithms and exponentials etc
  134.    wt: 4:   which way to go
  135.    wt: 4:   three goals to set for students
  136.    wt: 4:   key notes and themes
  137.    wt: 4:   grouping students according to ability
  138.    wt: 4:   what should be learnt and When
  139.    wt: 4:   mathematics in context
  140.    wt: 4:   Secondary One Mathematics
  141.    wt: 4:   talk the algebra talk
  142.    wt: 4:   What to Tell Students
  143.    wt: 4:   teaching tutoring algebraic reason
  144.    wt: 4:   05 13 OldSiteEntrancePage
  145.    wt: 4:   04 29 New Mathematics Curriculum
  146.    wt: 4:   standards for course material
  147.    wt: 4:   Operational Viewpoint to Value
  148.    wt: 4:   Education in mathematics science and technology
  149.    wt: 4:   Four ways to improve education reform
  150.    wt: 4:   Motivation and Context Problem
  151.    wt: 4:   Prequel In For A Penny In For A Pound
  152.    wt: 4:   fairness and inductive principles for instruction
  153.    wt: 4:   words for mathematics instructor
  154.    wt: 4:   Home Tutoring and Home Schooling
  155.    wt: 4:   24 Standards For Skill Develoment Take II
  156.    wt: 4:   24 Standards For Skill Develoment
  157.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  158.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  159.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  160.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  161.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  162.    wt: 4:   18 Primary School Mathematics
  163.    wt: 4:   17 Math Booklets for children and young teenagers
  164.    wt: 4:   9 Streaming by Student Cooperation
  165.    wt: 4:   8 The Effect of Negative Remarks
  166.    wt: 4:   2 Reading and Writing Skills
  167.    wt: 4:   Ages 12 to 14 Skills with take home value
  168.    wt: 4:   Ages 7 to 8
  169.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  170.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  171.    wt: 4:   19 Horizontal line rule and method
  172.    wt: 4:   18 Vertical Line Rule and Method
  173.    wt: 4:   13 From one to one to many to one
  174.    wt: 4:   8 Set view of relations and functions
  175.    wt: 4:   A Global Time and Navigation
  176.    wt: 4:   Vector and Complex Number Applet
  177.    wt: 4:   Triangle Angles Sum To 180 Degrees
  178.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  179.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  180.    wt: 4:   C Straight Lines Slope from Coordinates
  181.    wt: 4:   B Straight Line Slope Scaling Properties More
  182.    wt: 4:   A Straight Line Slope Scaling Properties
  183.    wt: 4:   14 Straight Lines Equations General Case
  184.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  185.    wt: 4:   12 Straight Lines Graphing mx plus b
  186.    wt: 4:   11 Straight Lines Graphing y=mx
  187.    wt: 4:   10 Straight Lines through Origin Equations More
  188.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  189.    wt: 4:   5 Tangent Function Graph
  190.    wt: 4:   4 Tangent Function Properties
  191.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  192.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  193.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  194.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  195.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  196.    wt: 4:   30 unit circle calculation of six trigonometric functions
  197.    wt: 4:   28 Expressing products of sines cosines as sums
  198.    wt: 4:   27 Logarithmic use of products of sines and cosines
  199.    wt: 4:   26 Formulas for products of sines and cosines
  200.    wt: 4:   21 sine and cosine Half Angle Formulas
  201.    wt: 4:   18 sum of sinusoidal waves as a single wave
  202.    wt: 4:   17E Trig Formulas for dot and cross Products
  203.    wt: 4:   17D cis formulas for sine cosines and tangent
  204.    wt: 4:   17C sine and cosine double triple angle formulas
  205.    wt: 4:   12 Graph of tangent function for one period
  206.    wt: 4:   11 tangent function undefined when terminal side vertical
  207.    wt: 4:   10 Graphs of sines and cosines many periods
  208.    wt: 4:   8 period of tangent function
  209.    wt: 4:   7 period of sine and cosine
  210.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  211.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  212.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  213.    wt: 4:   Unit Circle Development of Trigonometry
  214.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  215.    wt: 4:   8 Unit Circle Development of Trigonometry
  216.    wt: 4:   8 Similarity of Triangles and Polygons
  217.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  218.    wt: 4:   8 Mid Point Formula
  219.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  220.    wt: 4:   8 Distance Between Points on a Line
  221.    wt: 4:   4 Polar Coordinates to and from
  222.    wt: 4:   9 Construction of a right bisector
  223.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  224.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  225.    wt: 4:   2 More and Less Than with Unlike Signs
  226.    wt: 4:   5 Square Roots with primes more still
  227.    wt: 4:   1 Squares and Square Roots Introduction
  228.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  229.    wt: 4:   13 GCD from given Prime Factorization
  230.    wt: 4:   8 GCD from Euclidean Algorithm
  231.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  232.    wt: 4:   2 Least Common Multiple LCM intro via list method
  233.    wt: 4:   1 Least Common Multiples LCM Introduction
  234.    wt: 4:   10 dividing signed numbers
  235.    wt: 4:   6 adding signed numbers
  236.    wt: 4:   4 signed coordinates for regions in space
  237.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  238.    wt: 4:   3 Multiplying Units and Numbers
  239.    wt: 4:   2 Equality and Units
  240.    wt: 4:   1 Addition and Subtraction with Units
  241.    wt: 4:   D Three Term Ratios
  242.    wt: 4:   22 Complex Compound Fractions
  243.    wt: 4:   21 Working With Signs
  244.    wt: 4:   20 Dividing Fractions the Why
  245.    wt: 4:   13 Fraction Comparison Algebraic View
  246.    wt: 4:   12 Fraction Comparison
  247.    wt: 4:   11 Simplification an Algebraic View
  248.    wt: 4:   7 Numerals Fractionals Quantals
  249.    wt: 4:   6 Multiplication of Mixed Numbers
  250.    wt: 4:   6 Multiplication Algebraically Take II
  251.    wt: 4:   5 Equivalent Fractions
  252.    wt: 4:   4 Fraction Multiplication
  253.    wt: 4:   3 Unit fraction of a fraction
  254.    wt: 4:   2 Unit Fraction Multiplication
  255.    wt: 4:   1 What is a fraction Take II
  256.    wt: 4:   1 What is a fraction
  257.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  258.    wt: 4:   9 Multiplying Integers
  259.    wt: 4:   8 Multiplication by Signed Numbers Integers
  260.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  261.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  262.    wt: 4:   26 Divisibility by 2 3 5 Example
  263.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  264.    wt: 4:   23 Remainder Arithmetic Modulo 2
  265.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  266.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  267.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  268.    wt: 4:   5 Remainder Arithmetic Modulo 5
  269.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  270.    wt: 4:   11 Efficient Square Rule Use
  271.    wt: 4:   Division with Counts and Length
  272.    wt: 4:   Long Division forwards and backwards Example 1
  273.    wt: 4:   9 Why Long Division Works Take II
  274.    wt: 4:   8 Correcting the Mistake
  275.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  276.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  277.    wt: 4:   Subtraction with J Conversions Example
  278.    wt: 4:   Subtraction Another Video Lesson
  279.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  280.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  281.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  282.    wt: 4:   5. How to add decimals C. Examples
  283.    wt: 4:   4. How to add with decimals B with conversions
  284.    wt: 4:   3. How to add with decimals A sans conversions
  285.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  286.    wt: 4:   Quick history of numbers and algebra
  287.    wt: 4:   A Related lessons in Volume 3
  288.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  289.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  290.    wt: 4:   Chapter 19. Functions and Sets
  291.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  292.    wt: 4:   Chapter 8 Three Skills For Algebra
  293.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  294.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  295.    wt: 4:   S Adding words to algebra
  296.    wt: 4:   R Why Learn Mathematics Skills
  297.    wt: 4:   J. More on written work and showing skill
  298.    wt: 4:   H more Routine to non routine problem solving
  299.    wt: 4:   H Jigsaw puzzles and problem solving
  300.    wt: 4:   G. Written work formats for developing and showing skill
  301.    wt: 4:   E. When and how to correct errors
  302.    wt: 4:   Chapter 8 Skipped Topics and Why
  303.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  304.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  305.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  306.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  307.    wt: 4:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  308.    wt: 4:   Implementation Notes
  309.    wt: 3:   K LAMP Musings Science Education
  310.    wt: 3:   J LAMP Introduction Extrinsic Origins
  311.    wt: 3:   I LAMP Introduction Study Habits
  312.    wt: 3:   H LAMP Introduction Instructional Concepts
  313.    wt: 3:   F LAMP Introduction Prerequisites
  314.    wt: 3:   E LAMP Introduction Modern Mathematics
  315.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  316.    wt: 3:   A Introduction Objectives
  317.    wt: 3:   Ramblings Extrinsic numbers theory
  318.    wt: 3:   Ramblings Introduction Algebra Essay
  319.    wt: 3:   11 pure mathematics
  320.    wt: 3:   10 statistics
  321.    wt: 3:   6 polynomials etc
  322.    wt: 3:   4 algebra
  323.    wt: 3:   3 Euclidean Geometry Leanly
  324.    wt: 3:   2 arithmetic with signed numbers
  325.    wt: 3:   1 arithmetic with unsigned numbers
  326.    wt: 3:   What is POMME
  327.    wt: 3:   why bother
  328.    wt: 3:   website reviews
  329.    wt: 3:   Teach the teachers plus goals
  330.    wt: 3:   permissions for teachers
  331.    wt: 3:   Math Ed if it must be short make it lean effective
  332.    wt: 3:   activities for students
  333.    wt: 3:   links Education Resources online
  334.    wt: 3:   site origins
  335.    wt: 3:   site eurekas
  336.    wt: 3:   About site lesson plans
  337.    wt: 3:   Mathematics Education Professors
  338.    wt: 3:   teacher certification
  339.    wt: 3:   modern education
  340.    wt: 3:   learning takes time
  341.    wt: 3:   Postscript 2007 01 10
  342.    wt: 3:   Education Reform Inconsistencies
  343.    wt: 3:   five decades make a difference
  344.    wt: 3:   Maps Plans Drawings
  345.    wt: 3:   how letters appear
  346.    wt: 3:   Secondary Three Mathematics
  347.    wt: 3:   Secondary Two Mathematics
  348.    wt: 3:   three difficulties
  349.    wt: 3:   teaching tips
  350.    wt: 3:   mathematics curriculum shifts
  351.    wt: 3:   geometric implications for algebra
  352.    wt: 3:   Lessening Algebra Difficulties
  353.    wt: 3:   the trouble with algebra
  354.    wt: 3:   three goals for Mathematics Education
  355.    wt: 3:   02 21 words for teachers
  356.    wt: 3:   02 20 mathematics education references
  357.    wt: 3:   three aims for mathematics students
  358.    wt: 3:   formal or informal peer review
  359.    wt: 3:   Theory of Knowledge
  360.    wt: 3:   mathematics instruction in general
  361.    wt: 3:   Different Kinds of Reasoning in maths
  362.    wt: 3:   three kinds of reason in mathematics
  363.    wt: 3:   cultivating intelligence
  364.    wt: 3:   need for a mixed mathematics curriculum
  365.    wt: 3:   Leaner mathematics curriculum
  366.    wt: 3:   education an empirical art
  367.    wt: 3:   4 Energy Power Heat09
  368.    wt: 3:   3 Energy Power Heat08
  369.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  370.    wt: 3:   22 Student Centered Highschool Mathematics
  371.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  372.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  373.    wt: 3:   14 Multiplication and Times Tables
  374.    wt: 3:   13 Addition and Addition Tables
  375.    wt: 3:   12 Goals and Objectives For Mathematics
  376.    wt: 3:   11 Help and Defend Your Child or Teens Education
  377.    wt: 3:   5 Patience Please for Yourself and Your Charges
  378.    wt: 3:   4 Learning Takes Time and Effort
  379.    wt: 3:   1 Speaking Skills
  380.    wt: 3:   Ages 12 to 14 Geometry
  381.    wt: 3:   Ages 12 to 14 Arithmetic
  382.    wt: 3:   Ages 10 to 12 Geometry
  383.    wt: 3:   Ages 10 to 12 Arithmetic
  384.    wt: 3:   Ages 6 to 7
  385.    wt: 3:   Ages 4 plus to 5 plus
  386.    wt: 3:   Ages 3 plus to 4 plus
  387.    wt: 3:   sign monoticity analysis example 4
  388.    wt: 3:   sign monoticity analysis example 3
  389.    wt: 3:   sign monoticity analysis example 2
  390.    wt: 3:   sign monoticity analysis example 1
  391.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  392.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  393.    wt: 3:   9 Set theory term relation possible origins
  394.    wt: 3:   9 quadratics physical and further context
  395.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  396.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  397.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  398.    wt: 3:   15 Dot and Cross Product
  399.    wt: 3:   13 Velocity Vectors in Physics
  400.    wt: 3:   12 From Applied To Pure Mathematics
  401.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  402.    wt: 3:   6 Vectors with Coordinates
  403.    wt: 3:   5 Head To Tail Arrow Addition
  404.    wt: 3:   3 Navigation with Arrows or Vectors
  405.    wt: 3:   Parallel Lines and Parallel Transversals
  406.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  407.    wt: 3:   Parallel Lines and Interior Angles
  408.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  409.    wt: 3:   Straight Lines Intersection of
  410.    wt: 3:   17 tangent function angle sum formulas
  411.    wt: 3:   32 seven rows of pascals triangle
  412.    wt: 3:   31 basic secant cosecant cotangent trig identities
  413.    wt: 3:   25 tangent double angle formula Slope connection
  414.    wt: 3:   24 tangent Angle Difference Formula
  415.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  416.    wt: 3:   17G Pythagorean Theorem Converse
  417.    wt: 3:   17F Law of cosines
  418.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  419.    wt: 3:   17A The complex number valued trig function cis
  420.    wt: 3:   16 Right Triangle Complementary Angle Relations
  421.    wt: 3:   15 sine cosine Complementary Angle Relations
  422.    wt: 3:   13 Graph of tangent function many periods
  423.    wt: 3:   19 N th Roots of Unity
  424.    wt: 3:   18 Sixth Roots of Unity
  425.    wt: 3:   9 The complex number valued trig function cis
  426.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  427.    wt: 3:   9 Similarity of Triangles Usual Criteria
  428.    wt: 3:   10 Midpoint of [a b] and [b a]
  429.    wt: 3:   1 Numerical view of lines and their equations
  430.    wt: 3:   What is and is not here
  431.    wt: 3:   6 Polar Multiplication and Rotation
  432.    wt: 3:   5 Cartesian Addition and Translation
  433.    wt: 3:   19 Right Triangle Similarity
  434.    wt: 3:   18 Triangle Similarity Take 1
  435.    wt: 3:   8 Isoceles Triangles
  436.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  437.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  438.    wt: 3:   3 Lengths and Areas on Maps and Plans
  439.    wt: 3:   19 Signed Multiples of Vectors
  440.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  441.    wt: 3:   13 Arrows and Vectors in a Plane
  442.    wt: 3:   8 Division and Mulplication of Compound Fractions
  443.    wt: 3:   B Decimal Comparison and Subtraction
  444.    wt: 3:   2 Combing Counts Addition Skills and Principles
  445.    wt: 3:   4 Rates Ratios and Proporitionality
  446.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  447.    wt: 3:   2 More and Less Than for Counts and Measures
  448.    wt: 3:   Skill Development Notes
  449.    wt: 3:   9 Three Examples
  450.    wt: 3:   8 One Example
  451.    wt: 3:   4 Greater More Less Than Signs in General
  452.    wt: 3:   3 Comparison of Negative Numbers
  453.    wt: 3:   4 Square Roots with primes more
  454.    wt: 3:   3 Properties of Square Roots with example
  455.    wt: 3:   2 Square Roots with Prime
  456.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  457.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  458.    wt: 3:   6 GCD from Prime
  459.    wt: 3:   5 Common Divisors 60 45 via Prime
  460.    wt: 3:   7 Converting or Changing Units
  461.    wt: 3:   6 Simplification of Fractions with Units
  462.    wt: 3:   4 Fractions with Units
  463.    wt: 3:   11 Adding Integers Formulas and Examples
  464.    wt: 3:   5 Zero Movement and Additive Inverses
  465.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  466.    wt: 3:   21 Remainder Arithmetic Modulo 3
  467.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  468.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  469.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  470.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  471.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  472.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  473.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  474.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  475.    wt: 3:   1 Remainder Arithmetic Modulo 10
  476.    wt: 3:   Long Division Backwards more
  477.    wt: 3:   Long Division Backward
  478.    wt: 3:   Long Division forwards and backwards Example 3
  479.    wt: 3:   Long Division forwards and backwards Example 2
  480.    wt: 3:   10 Division by Five Long and Short Ways
  481.    wt: 3:   C Counting Areas with Powers of Ten
  482.    wt: 3:   B Powers of Ten
  483.    wt: 3:   4 Two and Three Digit Multipliers
  484.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  485.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  486.    wt: 3:   5 A Tip for Efficent Subtraction
  487.    wt: 3:   2 Subtraction Easy Case Examples
  488.    wt: 3:   7 Adding decimal fractions using decimal point
  489.    wt: 3:   2 Decimal Counting Practices
  490.    wt: 3:   1. Explaining Addition Table
  491.    wt: 3:   11 Place Value SI Standard International way
  492.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  493.    wt: 3:   Exact Arithmetic Wholes and Fractions
  494.    wt: 3:   Formula Evaluation how to show work
  495.    wt: 3:   Expression Evaluation how to show work
  496.    wt: 3:   The 12 Times Table Visually
  497.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  498.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  499.    wt: 3:   8 Addition of Time Intervals via subtotaling
  500.    wt: 3:   1 Intro of Kids To Time Date Skills
  501.    wt: 3:   29 Chain Rule Optional Reading
  502.    wt: 3:   28 Chain Rule Preparation for a Proof
  503.    wt: 3:   14 sine and cosine derivatives 2nd step
  504.    wt: 3:   9 Limits Continuity and Composition
  505.    wt: 3:   8 Four Animated Examples
  506.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  507.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  508.    wt: 3:   Appendix E. How To Study Mathematics and Why
  509.    wt: 3:   Appendix D. What to do in School and Why
  510.    wt: 3:   Chapter 28 Occurrence Tables
  511.    wt: 3:   Chapter 18. Rules for Algebra
  512.    wt: 3:   Chapter 12. Shorthand Usage Guide
  513.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  514.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  515.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  516.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  517.    wt: 3:   Chapter 18 Sense and Knowledge
  518.    wt: 3:   Chapter 8 Change of Language
  519.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  520.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  521.    wt: 3:   O On Learning Mathematics and Science
  522.    wt: 3:   M Words to extend arithmetic
  523.    wt: 3:   L Skills with take home value
  524.    wt: 3:   N Improving Marks on Tests and Finals
  525.    wt: 3:   F. The student teacher tutor feedback loop
  526.    wt: 3:   D. Check work a must with a caution
  527.    wt: 3:   7 Games and Activities for Instruction
  528.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  529.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  530.    wt: 2:   chapitre 04 09 Regles accidentelles
  531.    wt: 2:   chapitre 04 08 Limitations et benefices
  532.    wt: 2:   chapitre 04 06 engagements
  533.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  534.    wt: 2:   Trois Notions qui menent a algebre
  535.    wt: 2:   1 Conductance Resistance Duality01
  536.    wt: 2:   F Wire Resistance Calculation04
  537.    wt: 2:   3 Like resistors in parallel
  538.    wt: 2:   2 Unlike resistors in parallel01
  539.    wt: 2:   1 Like resistors in series
  540.    wt: 2:   H Series Circuit02
  541.    wt: 2:   G Series Circuit01
  542.    wt: 2:   F Unlike Resistors in Series
  543.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  544.    wt: 2:   16 Secondary Mathematics Tips
  545.    wt: 2:   15 Counting For Parents
  546.    wt: 2:   10 Ends values for work study instruction
  547.    wt: 2:   7 Student Motivation
  548.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  549.    wt: 2:   3 Preparing for Science Studies
  550.    wt: 2:   26 Function definitions done and coming
  551.    wt: 2:   17 Function maxima minima and their location
  552.    wt: 2:   11 Function Domain Range Source and Targets
  553.    wt: 2:   6 Set Existence Formation and Notation
  554.    wt: 2:   4 Function notation in and beyond mathematics
  555.    wt: 2:   8 quadratics backward use of various formulas
  556.    wt: 2:   3 quadratics factoring by inspection
  557.    wt: 2:   11 Growth and Decay in Biology
  558.    wt: 2:   10 Exponential Growth and Decay Models
  559.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  560.    wt: 2:   5 Natural Logarithm Calculator Exercises
  561.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  562.    wt: 2:   1 Calculator Starter Exercises
  563.    wt: 2:   7 Links Lessons Elsewhere
  564.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  565.    wt: 2:   4 Polynomials Long division linear divisor
  566.    wt: 2:   3 Polynomials Multiplication Addition
  567.    wt: 2:   2 Column Multiplication Method
  568.    wt: 2:   1 Polynomials Distributive Law
  569.    wt: 2:   16 cotangent function Definition Graph and Inverse
  570.    wt: 2:   15 cosecant function Definition Graph and Inverse
  571.    wt: 2:   14 secant function Definition Graph and Inverse
  572.    wt: 2:   13 cosecant function Definition Graph and Inverse
  573.    wt: 2:   9 motivation for name arcsin
  574.    wt: 2:   8 arcsin left inverse of sine Graph
  575.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  576.    wt: 2:   11 Component Method
  577.    wt: 2:   10 Parallelogram Addition Method
  578.    wt: 2:   4 Resultant of a Sum of Movements
  579.    wt: 2:   2 Signed Coordinates
  580.    wt: 2:   1 Unsigned Coordinates
  581.    wt: 2:   4 graphing y=Asin(x c)
  582.    wt: 2:   3 graphing y=f(x c) plus K
  583.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  584.    wt: 2:   1 graphing y=f(x a)
  585.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  586.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  587.    wt: 2:   Straight Lines ASA Intersection Study More
  588.    wt: 2:   Straight Lines ASA Intersection Study
  589.    wt: 2:   Straight Lines Instersection Solving Equations
  590.    wt: 2:   21 Logarithms Powers and Exponentials
  591.    wt: 2:   16 References and Originality Question
  592.    wt: 2:   13 Trig Formulas for dot and cross Products
  593.    wt: 2:   12 cis formulas for sine cosines and tangent
  594.    wt: 2:   11 sine and cosine double triple angle formulas
  595.    wt: 2:   7 Second Way to Calculate Products
  596.    wt: 2:   8 Triangles Cascade Problem Solving
  597.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  598.    wt: 2:   3 Trigonometric Ratios sine and cosine
  599.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  600.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  601.    wt: 2:   1 Early Concept of Like or Similar Shapes
  602.    wt: 2:   Four Simple Exercises
  603.    wt: 2:   12 Links Lessons elsewhere
  604.    wt: 2:   11 A Partial Summary
  605.    wt: 2:   6 Intersection of lines by solving linear systems
  606.    wt: 2:   5 Algebraic View of Slopes
  607.    wt: 2:   4 Equations for lines three forms
  608.    wt: 2:   3 Slope product for perpendicular lines
  609.    wt: 2:   2 point slope equation for a line
  610.    wt: 2:   13 Pythagorean spatial distance formulas
  611.    wt: 2:   12 Spatial Coordinates
  612.    wt: 2:   11 Triangle Inequality
  613.    wt: 2:   10 Pythagorean plane distance formula
  614.    wt: 2:   7 Complex Numbers Appetizer
  615.    wt: 2:   3 Rectangular Coordinates Review
  616.    wt: 2:   2 Cartesian Coordinates with signs
  617.    wt: 2:   1 Cartesian Coordinates sans signs
  618.    wt: 2:   PS H Distributive Law For Complex Numbers
  619.    wt: 2:   17 Right Bisectors of Triangle Sides
  620.    wt: 2:   16 Angles Subtended By Chords and Diameters
  621.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  622.    wt: 2:   10 Dropping a perpendicular to line
  623.    wt: 2:   6 Ruler and compass Angle Bisection
  624.    wt: 2:   1 Initial Concepts and Terms
  625.    wt: 2:   6 Figuring with Maps Not to Scale
  626.    wt: 2:   4 Angles on Maps Plans drawn to scale
  627.    wt: 2:   A Modular and Remainder Arithmetic
  628.    wt: 2:   A Signed Number Arithmetic Review
  629.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  630.    wt: 2:   21 Addition of Multiples of a Single Vector
  631.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  632.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  633.    wt: 2:   15 Head to Tails in place Addition Associative
  634.    wt: 2:   11 Signed Number Addition and Addition Properties
  635.    wt: 2:   9 Division with Digits after Decimal Point
  636.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  637.    wt: 2:   E Long Division Methods more
  638.    wt: 2:   D Long Division Methods
  639.    wt: 2:   C Three Decimal Subtraction Methods
  640.    wt: 2:   A Decimal Addition Columm Methods
  641.    wt: 2:   8 Column Multiplication Methods in General
  642.    wt: 2:   3 Multiplicative Counting Skills Principles
  643.    wt: 2:   5 Proportionality in Equivalent Fractions
  644.    wt: 2:   3 Proportionality Examples
  645.    wt: 2:   2 Algebraic View
  646.    wt: 2:   1 What is Proportionality
  647.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  648.    wt: 2:   6 Compound Interest Forward and Backwards
  649.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  650.    wt: 2:   6 Equations and Systems Equivalent or Implied
  651.    wt: 2:   4 Subtraction and Division Axioms
  652.    wt: 2:   2 Addition and Multiplication Axioms
  653.    wt: 2:   3 More and Less Than with Unlike Signs
  654.    wt: 2:   8 Coordinates for Maps and Planes
  655.    wt: 2:   3 Geometric Formulas and Function Notation
  656.    wt: 2:   1 Formulas Dependence and Function Notation
  657.    wt: 2:   Simple Exercises
  658.    wt: 2:   1 Written work formats for developing and showing skill
  659.    wt: 2:   9 Sets in Probability and Statistics
  660.    wt: 2:   4 A Brief Story of numbers and algebra
  661.    wt: 2:   D Remainders Modulo 11 Pair Rule
  662.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  663.    wt: 2:   B Integer Long Division Multiple Choices
  664.    wt: 2:   A Associative Law Theorectical Note
  665.    wt: 2:   13 Subtraction with Additive Inverse
  666.    wt: 2:   12 Adding Integers More Examples
  667.    wt: 2:   10 Integer Multiplication Formulas
  668.    wt: 2:   7 Multiplication by Signs
  669.    wt: 2:   6 Multiplication by Natural Numbers
  670.    wt: 2:   4 Adding Movements wiht opposite directions
  671.    wt: 2:   3 Adding Movements with same direction
  672.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  673.    wt: 2:   1 Integers as Coordinates
  674.    wt: 2:   12 Why Long Division Works Take III
  675.    wt: 2:   11 Another Single Digit Divisor Example
  676.    wt: 2:   7 Long Divison Mistake Catching
  677.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  678.    wt: 2:   5 Long Division Include Zeroes or not
  679.    wt: 2:   4 Division with 2 Digit Divsors
  680.    wt: 2:   3 Division Single Digit Divisor Example
  681.    wt: 2:   2 Division with Single Digit Divisors
  682.    wt: 2:   1 Divsion Physical Examples
  683.    wt: 2:   D Decimal Multiplication Methods Derived
  684.    wt: 2:   A Elementary Basis for Multiplication Methods
  685.    wt: 2:   6 Multiplication Commutes Order Not Important
  686.    wt: 2:   5 Decimal Fraction Multiplication
  687.    wt: 2:   3 More One Digit Multipliers
  688.    wt: 2:   2 One Digit Multipliers
  689.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  690.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  691.    wt: 2:   Video Power Notation in Decimal Expansion
  692.    wt: 2:   1 Why 3 times 5 gives 15
  693.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  694.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  695.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  696.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  697.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  698.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  699.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  700.    wt: 2:   The 20 Times Table
  701.    wt: 2:   About folder contents
  702.    wt: 2:   015 School and work day counting tables
  703.    wt: 2:   4 Mixing and Changing Units of Time
  704.    wt: 2:   3 Units and Lengths of Time
  705.    wt: 2:   2 Time and Date Matters in School
  706.    wt: 2:   Example 1. Area Between x and x squared
  707.    wt: 2:   A Chain Rule Real Player video examples
  708.    wt: 2:   36 Cube root derivative animated
  709.    wt: 2:   34 Derivative of exponential function
  710.    wt: 2:   33 Chain Rule Real Player video examples
  711.    wt: 2:   31 Derivatives of inverse functions
  712.    wt: 2:   30Chain Rule A Proof
  713.    wt: 2:   19 Chain Rule for linear functions
  714.    wt: 2:   18 Chain Rule Introduction
  715.    wt: 2:   17 Derivatives of quotients of sine and cosine
  716.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  717.    wt: 2:   15 sine and cosine derivatives 3rd step
  718.    wt: 2:   13 sine and cosine derivatives 1st step
  719.    wt: 2:   11 Quotient rule
  720.    wt: 2:   10 Power rule for negative integers
  721.    wt: 2:   9 Reciprocal rule
  722.    wt: 2:   8 Differentiation of polynomials
  723.    wt: 2:   2 Motivation for Limit Definition Take 1
  724.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  725.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  726.    wt: 2:   5 Jumps and absence of unlimited error control
  727.    wt: 2:   G.5 Motions With Bounded Velocities
  728.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  729.    wt: 2:   F.1 What Functions are Continuous
  730.    wt: 2:   E2 Algebraic Properties of Limits
  731.    wt: 2:   D2 Limits of Monotone Sequences
  732.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  733.    wt: 2:   PostScript For and Against Decimal Perspectives
  734.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  735.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  736.    wt: 2:   Chapter 18. Slopes Areas Integration
  737.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  738.    wt: 2:   Chapter 9 About First Courses in Calculus
  739.    wt: 2:   Chapter 8. Slope Interpretation
  740.    wt: 2:   Fall 1983 Calculus Appetizer
  741.    wt: 2:   Appendix C. How to Read
  742.    wt: 2:   Appendix B. How To Learn
  743.    wt: 2:   Chapter 31 Direct and Indirect Reason
  744.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  745.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  746.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  747.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  748.    wt: 2:   Chapter 20. Degrees and Radians
  749.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  750.    wt: 2:   Chapter 11. Why Shorthand
  751.    wt: 2:   Chapter 10 Describing and Changing Calculations
  752.    wt: 2:   Postscript What is a Variable
  753.    wt: 2:   Chapter 6 Change of Language
  754.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  755.    wt: 2:   Chapter 9 The Two Ends
  756.    wt: 2:   Chapter 8 Modern Instruction
  757.    wt: 2:   Postscript B More on Story Telling and Reason
  758.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  759.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  760.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  761.    wt: 2:   Chapter 2 Skill Development
  762.    wt: 2:   N Mathematics Prepare for College Studies
  763.    wt: 2:   C. Domino effect of being careful
  764.    wt: 2:   B. Domino effect of errors
  765.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  766.    wt: 2:   The Math Forum and Site Content
  767.    wt: 1:   chapitre 12 00 les iles et division
  768.    wt: 1:   chapitre 07 01 principle D induction mathematique
  769.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  770.    wt: 1:   chapitre 06 00 Chaines de la raison
  771.    wt: 1:   chapitre 05 00 Deception
  772.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  773.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  774.    wt: 1:   chapitre 04 05 Implication versus suggestion
  775.    wt: 1:   chapitre 04 04 Parlons de la logique
  776.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  777.    wt: 1:   chapitre 04 02 Deuxieme enigme
  778.    wt: 1:   chapitre 04 01 Premiere enigme
  779.    wt: 1:   chapitre 04 00 Les regles d implication
  780.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  781.    wt: 1:   chapitre 02 00 La Communication des idees
  782.    wt: 1:   chapitre 01 00 Introduction
  783.    wt: 1:   liens
  784.    wt: 1:   problemes responses
  785.    wt: 1:   problemes algebre et arithmetique
  786.    wt: 1:   deux definitions pour variable
  787.    wt: 1:   logique deux enigme
  788.    wt: 1:   2 Energy Power Heat07
  789.    wt: 1:   1 Energy Power Heat06
  790.    wt: 1:   E Energy Power05
  791.    wt: 1:   D Energy Power04
  792.    wt: 1:   C Energy Power03
  793.    wt: 1:   B Energy Power02
  794.    wt: 1:   A Energy Power01
  795.    wt: 1:   2 Conductance Resistance Duality02
  796.    wt: 1:   E Wire Resistance Calculation03
  797.    wt: 1:   D Wire Resistance Calculation02
  798.    wt: 1:   C Wire Resistance Calculation01
  799.    wt: 1:   B Wire Resistance Qualitative02
  800.    wt: 1:   A Wire Resistance Qualitative01
  801.    wt: 1:   E Kirchoffs Second Law
  802.    wt: 1:   D Kirchoff First Law
  803.    wt: 1:   C Electromotive force conventional current02
  804.    wt: 1:   B Electromotive force conventional current01
  805.    wt: 1:   A Circuit Elements
  806.    wt: 1:   23 Inverse Functions
  807.    wt: 1:   22 Square Root function graphically
  808.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  809.    wt: 1:   20 Interchanging coordinates a reflection
  810.    wt: 1:   16 Increasing or decreasing on intervals
  811.    wt: 1:   15 Sign analysis of functions
  812.    wt: 1:   14 Surjections Injections Bijections
  813.    wt: 1:   12 Function Domain Recognition Exercises
  814.    wt: 1:   10 Interval Notation
  815.    wt: 1:   7 Functions with finite domains
  816.    wt: 1:   5 Function notation for geometric transformations
  817.    wt: 1:   3 Formula or function graphing exercise
  818.    wt: 1:   2 Algebraic use of function notation
  819.    wt: 1:   1 Geometric Introduction of Function Notation
  820.    wt: 1:   Introduction Reading Guide
  821.    wt: 1:   A Quadratics Summary
  822.    wt: 1:   10 quadratic exercises
  823.    wt: 1:   7 quadratic formulla derivation
  824.    wt: 1:   6 quadratics numerical approach
  825.    wt: 1:   5 quadratics completing the square
  826.    wt: 1:   4 quadratics difference of two squares
  827.    wt: 1:   2 quadratics graphing in general
  828.    wt: 1:   1 quadratics graphing exercises
  829.    wt: 1:   Quadratics in 10 steps
  830.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  831.    wt: 1:   2 Square Root Simplification a prequel
  832.    wt: 1:   Rewriting algebraic substitution as function substitutions
  833.    wt: 1:   12 motivation for term arctan
  834.    wt: 1:   11 arctan left inverse of tangent Graph
  835.    wt: 1:   10 arctan left inverse of tangent Definition
  836.    wt: 1:   7 arcsin left inverse of sine Definition
  837.    wt: 1:   6 Graph of arccos function
  838.    wt: 1:   5 Swapping Coordinates is a reflection
  839.    wt: 1:   4 possible motivation for term arccos
  840.    wt: 1:   3 Left Inverse of cosine arccos definition
  841.    wt: 1:   2 cosine function more properties
  842.    wt: 1:   1 cosine function properties
  843.    wt: 1:   20 N th Roots of Complex Numbers
  844.    wt: 1:   17 Cube Roots of unity
  845.    wt: 1:   15 Pythagorean Theorem Converse
  846.    wt: 1:   14 Law of cosines
  847.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  848.    wt: 1:   6 Field Properties of Complex Number
  849.    wt: 1:   5 An Easy Proof of the Distributive Law
  850.    wt: 1:   4 Multiplication Properties
  851.    wt: 1:   3 Addition Properties
  852.    wt: 1:   2 Complex Numbers made easier we hope
  853.    wt: 1:   1 Rectangular Polar Coordinates Review
  854.    wt: 1:   Appetizer A Complex Number Applet
  855.    wt: 1:   7 Trignometric Ratios Unit Circle
  856.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  857.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  858.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  859.    wt: 1:   1 Angle Measurement with Degrees
  860.    wt: 1:   Why Trigonometry the whyslopes view
  861.    wt: 1:   12 Triangles Similarity More Problems
  862.    wt: 1:   11 Triangle Similarity Missing Side Problem
  863.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  864.    wt: 1:   7 Translations Rotations Reflections Dilatations
  865.    wt: 1:   6 Geometric Diagrams in Class
  866.    wt: 1:   4 Similarity Definition with Coordinate
  867.    wt: 1:   3 Similarity by Design with coordinates
  868.    wt: 1:   2 Similarity By Design
  869.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  870.    wt: 1:   PS G Rotation Distributes over Addition
  871.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  872.    wt: 1:   PS E Multiplication with Polar Coordinates
  873.    wt: 1:   PS D Addition with Cartesian Coordinates
  874.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  875.    wt: 1:   PS B Parallelogram Construction Methods
  876.    wt: 1:   PS A Kite Construction Methods
  877.    wt: 1:   21 Parallelograms
  878.    wt: 1:   14 Parallel Lines Postulate
  879.    wt: 1:   13 Angle Side Angle Failure
  880.    wt: 1:   12 Side Angle Side Failure
  881.    wt: 1:   11 Triangle Construction Fails
  882.    wt: 1:   7 Angle Side Angle
  883.    wt: 1:   5 Side Angle Side
  884.    wt: 1:   4 Side Side Side
  885.    wt: 1:   3 Isometry of Triangles Congruence
  886.    wt: 1:   2 Correspondence between Triangles
  887.    wt: 1:   Short Course on Euclidean Geometry
  888.    wt: 1:   A Measurement with Ruler Proper Use
  889.    wt: 1:   2 Measuring Area Directly
  890.    wt: 1:   1 Length Measurement
  891.    wt: 1:   About Folder Contents
  892.    wt: 1:   26 More Less Greater Than Comparison
  893.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  894.    wt: 1:   23 Distributive Law Two Derivations
  895.    wt: 1:   22 Multiplication of Signed Numbers
  896.    wt: 1:   12 Real Numbers Line Signed Coordinates
  897.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  898.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  899.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  900.    wt: 1:   4 Location of Point in Decimal Addition
  901.    wt: 1:   3 Location of Point in Decimal Multiplication
  902.    wt: 1:   2 Counting Digits in Decimal Multiplication
  903.    wt: 1:   1 Fractions with Finite Decimal Expansions
  904.    wt: 1:   7 Decimals Multiplication Methods Examples
  905.    wt: 1:   6 Column Methods for Decimal Multiplication
  906.    wt: 1:   5 Distributive Law for Whole Numbers
  907.    wt: 1:   4 Commutative Law Groups Counting Form
  908.    wt: 1:   1 The Counting Origins of Numbers
  909.    wt: 1:   4 Fraction Operations Axiomatic Development
  910.    wt: 1:   2 Fraction Operations Physical Development
  911.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  912.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  913.    wt: 1:   5 Triangle Area Formula Backwards
  914.    wt: 1:   3 Linear Equation Literal Solution More
  915.    wt: 1:   2 Linear Equation Literal Solution
  916.    wt: 1:   1 Changing Calculations
  917.    wt: 1:   5 Equality in Algebra
  918.    wt: 1:   3 Product Axioms Two Forms
  919.    wt: 1:   1 Equivalent Computation Rules
  920.    wt: 1:   5 Greater More Less Than Signs in General
  921.    wt: 1:   4 Comparison of Negative Numbers
  922.    wt: 1:   1 Real Numbers Comparison
  923.    wt: 1:   10 Real Number Lengths and Signs
  924.    wt: 1:   9 Coordinates for Regions in Space
  925.    wt: 1:   1 Whole and Natural Numbers
  926.    wt: 1:   5 Independent versus Dependent Variables
  927.    wt: 1:   4 Changing Letters
  928.    wt: 1:   2 Computation Rules Evaluation
  929.    wt: 1:   3 GE III Equation Addition and Multiplication
  930.    wt: 1:   1 Proper Equal Sign Usage
  931.    wt: 1:   10 One Example
  932.    wt: 1:   7 Two Examples
  933.    wt: 1:   6 Three Examples
  934.    wt: 1:   5 Three Examples
  935.    wt: 1:   4 Two Examples
  936.    wt: 1:   3 Two Examples
  937.    wt: 1:   2 Three Examples
  938.    wt: 1:   Formula Usage Show Work Format
  939.    wt: 1:   9 Volume of Cone
  940.    wt: 1:   8 Compound Interest Formula Evaluation
  941.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  942.    wt: 1:   8 Sets of Numbers
  943.    wt: 1:   5 Talking about Numbers and Quantities
  944.    wt: 1:   3 Adding Words To Arithmetic
  945.    wt: 1:   1 Three Skills For Algebra
  946.    wt: 1:   016 Numbering Occidental Calendar Days
  947.    wt: 1:   014 Counting Days with Calendars
  948.    wt: 1:   013 Travel Time Tables
  949.    wt: 1:   012 Division of Time Intervals by Time Intervals
  950.    wt: 1:   011 Division of Time Intervals By Numbers
  951.    wt: 1:   010 Repeated Addition of Time Intervals
  952.    wt: 1:   7 Addition of Time Intervals
  953.    wt: 1:   6 How long is a million seconds
  954.    wt: 1:   5 Conversion Arithmetic
  955.    wt: 1:   Example 2 volume of a cone
  956.    wt: 1:   Example 1 volume of a pyramid
  957.    wt: 1:   Volume of Solid by Cross Sections Lesson
  958.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  959.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  960.    wt: 1:   Example 4 with x function of y
  961.    wt: 1:   Example 3
  962.    wt: 1:   Example 2
  963.    wt: 1:   Example 1
  964.    wt: 1:   Area Between Curves Lesson Take 2
  965.    wt: 1:   Area Between Curves Lesson Take 1
  966.    wt: 1:   Summary
  967.    wt: 1:   A Related Material in Volume 3
  968.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  969.    wt: 1:   26 Chain Rule Recognising outer inner functions
  970.    wt: 1:   25 Chain Rule Animated Examples Continued
  971.    wt: 1:   24 Chain Rule Animated Examples
  972.    wt: 1:   23 Chain Rule in general
  973.    wt: 1:   22 Chain Rule for polynomials
  974.    wt: 1:   21 Chain Rule for powers
  975.    wt: 1:   20 Chain Rule for Pulley Systems
  976.    wt: 1:   12 Quotient rule examples
  977.    wt: 1:   7 Animated Differentiation Examples
  978.    wt: 1:   6 Power rule from product rule
  979.    wt: 1:   5 Product Rule
  980.    wt: 1:   4 Sum Rule
  981.    wt: 1:   3 Motivation for Limit Definition Take 2
  982.    wt: 1:   11 Limits at infinity Three Examples
  983.    wt: 1:   10 Three one sided limits with infinite values
  984.    wt: 1:   7 Evaluation by immediate or delayed substitution
  985.    wt: 1:   6 Continuity at a point
  986.    wt: 1:   4 Numerical properties
  987.    wt: 1:   3 Decimal insights for limits continuity convergence
  988.    wt: 1:   2 Algebraic codification
  989.    wt: 1:   1 Numerical introduction
  990.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  991.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  992.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  993.    wt: 1:   G.3 Constant Difference Theorem Proof
  994.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  995.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  996.    wt: 1:   F.5b Extreme Value Theorem
  997.    wt: 1:   F.5a Equicontinuity Theorems
  998.    wt: 1:   F.4 Finite Covering Theorem
  999.    wt: 1:   F.3 Intermediate Value Theorem
  1000.    wt: 1:   F.2 Closed Range Theorem
  1001.    wt: 1:   E1 Error Control Inequalities
  1002.    wt: 1:   C Triangle Inequalities
  1003.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1004.    wt: 1:   A1. Introduction
  1005.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  1006.    wt: 1:   Chapter 23 Links To Trigonometry
  1007.    wt: 1:   Chapter 12. Units and Slopes
  1008.    wt: 1:   Chapter 10 Slopes and Units
  1009.    wt: 1:   Chapter 7 Slopes and Velocity
  1010.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1011.    wt: 1:   Chapter 2. Slopes and Ski Trails
  1012.    wt: 1:   Postscript More on Better Performance
  1013.    wt: 1:   Postscript For Better Performance
  1014.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1015.    wt: 1:   Chapter 30 Truth Tables
  1016.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1017.    wt: 1:   Chapter 23. Notation For Sums
  1018.    wt: 1:   Chapter 21. Third Reading Guide
  1019.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1020.    wt: 1:   Chapter 16. Painless Theorem Proving
  1021.    wt: 1:   Chapter 15. Solving Linear Equations
  1022.    wt: 1:   Chapter 13. Second Reading Guide
  1023.    wt: 1:   Solutions For Arithmetic Exercises
  1024.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1025.    wt: 1:   Chapter 4 Longer Chains of Reason
  1026.    wt: 1:   Chapter 3 Chains of Reason
  1027.    wt: 1:   Foreword
  1028.    wt: 1:   Annotated Links to Material Elsehwere
  1029.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1030.    wt: 1:   Chapter 2 For and Against Mathematics
  1031.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1032.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1033.    wt: 1:   Postscript A Story Telling
  1034.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1035.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1036.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  1037.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1038.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  1039.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  1040.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  1041.    wt: 1:   Chapter 6 More Algebra and Geometry
  1042.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  1043.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  1044.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1045.    wt: 1:   Road Safety Questions
  1046.    wt: 1:   Site Reviews

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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