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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50 matches:

  1.    wt: 8:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 7:   12 Function Translating and Rescaling/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 6:   13 Vectors/
  6.    wt: 6:   11 Parallel Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  17.    wt: 4:   A Decimal Counting and Adding Methods/
  18.    wt: 3:   A Origins of Counting and Figuring Methods/
  19.    wt: 3:   Step 4 Gaussian Elimination/
  20.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  21.    wt: 3:   C Decimal Multiplication Methods/
  22.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  23.    wt: 2:   Step 1 Stick diagram and fractions/
  24.    wt: 2:   3 Solving Linear Equations/
  25.    wt: 2:   9 Combinatorics Trees Tables and Products/
  26.    wt: 2:   5 Integers/
  27.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  28.    wt: 2:   D Decimal Long Division Methods/
  29.    wt: 2:   2 Arithmetic with Decimals/
  30.    wt: 1:   B Real Numbers Extrinsic Development/
  31.    wt: 1:   10 Examples of Algebraic Reasoning/
  32.    wt: 1:   8 Unifying Theme For Algebra/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   1 Working With Sets/
  35.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  36.    wt: 1:   11 Squares and Square Roots/
  37.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  38.    wt: 1:   8 Arithmetic with Signed Numbers/
  39.    wt: 1:   7 Arithmetic and Fractions with Units/
  40.    wt: 1:   6 Fractions and Ratios/
  41.    wt: 1:   3 Prime Factorization Skills/
  42.    wt: 1:   1 Decimal Place Value/
  43.    wt: 1:   Arithmetic and Number Theory Skills/
  44.    wt: 1:   5 Lessons on Integration/
  45.    wt: 1:   4 Lessons on Using Derivatives/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   13 Lessons on Limits and Continuity/
  48.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  49.    wt: 1:   Resources and Reciprocal Links/
  50.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

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544 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  8.    wt: 3:   J LAMP Introduction Extrinsic Origins
  9.    wt: 3:   Ramblings Extrinsic numbers theory
  10.    wt: 3:   Maps Plans Drawings
  11.    wt: 3:   Different Kinds of Reasoning in maths
  12.    wt: 3:   fairness and inductive principles for instruction
  13.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  14.    wt: 3:   20 Interchanging coordinates a reflection
  15.    wt: 3:   8 arcsin left inverse of sine Graph
  16.    wt: 3:   3 Left Inverse of cosine arccos definition
  17.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  18.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  19.    wt: 3:   Straight Lines Instersection Solving Equations
  20.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  21.    wt: 3:   28 Expressing products of sines cosines as sums
  22.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  23.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  24.    wt: 3:   13 Arrows and Vectors in a Plane
  25.    wt: 3:   3 Location of Point in Decimal Multiplication
  26.    wt: 3:   2 Counting Digits in Decimal Multiplication
  27.    wt: 3:   8 Coordinates for Maps and Planes
  28.    wt: 3:   3 signed coordinates for maps and planes
  29.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  30.    wt: 3:   14 Adding and Subtracting with Like Denominators
  31.    wt: 3:   7 Adding decimal fractions using decimal point
  32.    wt: 3:   2 Indefinite Integrals Exercises
  33.    wt: 3:   1 Chain Rule in Reverse Integration Method
  34.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  35.    wt: 3:   26 Chain Rule Recognising outer inner functions
  36.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  37.    wt: 3:   H more Routine to non routine problem solving
  38.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  39.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  40.    wt: 3:   Helping the Blind in Logic and Mathematics
  41.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  42.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  43.    wt: 2:   H LAMP Introduction Instructional Concepts
  44.    wt: 2:   G LAMP Introduction Problem Solving Skills
  45.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  46.    wt: 2:   Ramblings Introduction Algebra Essay
  47.    wt: 2:   3 Euclidean Geometry Leanly
  48.    wt: 2:   links Education Resources online
  49.    wt: 2:   grouping students according to ability
  50.    wt: 2:   teaching tutoring algebraic reason
  51.    wt: 2:   mathematics instruction in general
  52.    wt: 2:   three kinds of reason in mathematics
  53.    wt: 2:   cultivating intelligence
  54.    wt: 2:   Prequel In For A Penny In For A Pound
  55.    wt: 2:   chapitre 07 01 principle D induction mathematique
  56.    wt: 2:   Home Tutoring and Home Schooling
  57.    wt: 2:   2 Reading and Writing Skills
  58.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  59.    wt: 2:   26 Function definitions done and coming
  60.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  61.    wt: 2:   9 Set theory term relation possible origins
  62.    wt: 2:   7 Functions with finite domains
  63.    wt: 2:   Introduction Reading Guide
  64.    wt: 2:   3 quadratics factoring by inspection
  65.    wt: 2:   2 quadratics graphing in general
  66.    wt: 2:   1 Polynomials Distributive Law
  67.    wt: 2:   16 cotangent function Definition Graph and Inverse
  68.    wt: 2:   15 cosecant function Definition Graph and Inverse
  69.    wt: 2:   14 secant function Definition Graph and Inverse
  70.    wt: 2:   13 cosecant function Definition Graph and Inverse
  71.    wt: 2:   10 arctan left inverse of tangent Definition
  72.    wt: 2:   5 Swapping Coordinates is a reflection
  73.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  74.    wt: 2:   13 Velocity Vectors in Physics
  75.    wt: 2:   6 Vectors with Coordinates
  76.    wt: 2:   4 graphing y=Asin(x c)
  77.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  78.    wt: 2:   Parallel Lines and Interior Angles
  79.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  80.    wt: 2:   Straight Lines ASA Intersection Study More
  81.    wt: 2:   Straight Lines ASA Intersection Study
  82.    wt: 2:   Straight Lines Intersection of
  83.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  84.    wt: 2:   C Straight Lines Slope from Coordinates
  85.    wt: 2:   B Straight Line Slope Scaling Properties More
  86.    wt: 2:   A Straight Line Slope Scaling Properties
  87.    wt: 2:   12 Straight Lines Graphing mx plus b
  88.    wt: 2:   11 Straight Lines Graphing y=mx
  89.    wt: 2:   10 Straight Lines through Origin Equations More
  90.    wt: 2:   9 Straight Lines through Origin Equations
  91.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  92.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  93.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  94.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  95.    wt: 2:   27 Logarithmic use of products of sines and cosines
  96.    wt: 2:   26 Formulas for products of sines and cosines
  97.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  98.    wt: 2:   21 sine and cosine Half Angle Formulas
  99.    wt: 2:   20 sine and cosine Double Angle Formulas
  100.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  101.    wt: 2:   18 sum of sinusoidal waves as a single wave
  102.    wt: 2:   17F Law of cosines
  103.    wt: 2:   17D cis formulas for sine cosines and tangent
  104.    wt: 2:   17C sine and cosine double triple angle formulas
  105.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  106.    wt: 2:   15 sine cosine Complementary Angle Relations
  107.    wt: 2:   14 cosine even and sine and tangent are odd
  108.    wt: 2:   11 tangent function undefined when terminal side vertical
  109.    wt: 2:   10 Graphs of sines and cosines many periods
  110.    wt: 2:   9 Graphs of sine and cosine over one period
  111.    wt: 2:   7 period of sine and cosine
  112.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  113.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  114.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  115.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  116.    wt: 2:   14 Law of cosines
  117.    wt: 2:   12 cis formulas for sine cosines and tangent
  118.    wt: 2:   11 sine and cosine double triple angle formulas
  119.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  120.    wt: 2:   5 An Easy Proof of the Distributive Law
  121.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  122.    wt: 2:   3 Trigonometric Ratios sine and cosine
  123.    wt: 2:   4 Similarity Definition with Coordinate
  124.    wt: 2:   2 point slope equation for a line
  125.    wt: 2:   8 Distance Between Points on a Line
  126.    wt: 2:   PS H Distributive Law For Complex Numbers
  127.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  128.    wt: 2:   PS E Multiplication with Polar Coordinates
  129.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  130.    wt: 2:   10 Dropping a perpendicular to line
  131.    wt: 2:   Short Course on Euclidean Geometry
  132.    wt: 2:   6 Figuring with Maps Not to Scale
  133.    wt: 2:   4 Angles on Maps Plans drawn to scale
  134.    wt: 2:   3 Lengths and Areas on Maps and Plans
  135.    wt: 2:   23 Distributive Law Two Derivations
  136.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  137.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  138.    wt: 2:   12 Real Numbers Line Signed Coordinates
  139.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  140.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  141.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  142.    wt: 2:   4 Location of Point in Decimal Addition
  143.    wt: 2:   8 Column Multiplication Methods in General
  144.    wt: 2:   5 Distributive Law for Whole Numbers
  145.    wt: 2:   4 Commutative Law Groups Counting Form
  146.    wt: 2:   3 Multiplicative Counting Skills Principles
  147.    wt: 2:   2 Combing Counts Addition Skills and Principles
  148.    wt: 2:   1 The Counting Origins of Numbers
  149.    wt: 2:   9 Coordinates for Regions in Space
  150.    wt: 2:   7 Real Numbers as Line Cordinates
  151.    wt: 2:   13 Naming Identifying Formulas with Words
  152.    wt: 2:   7 Compound Interest Formula Introduction
  153.    wt: 2:   1 Written work formats for developing and showing skill
  154.    wt: 2:   1 Counting and Counting Methods I
  155.    wt: 2:   4 signed coordinates for regions in space
  156.    wt: 2:   7 Converting or Changing Units
  157.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  158.    wt: 2:   12 Adding Integers More Examples
  159.    wt: 2:   11 Adding Integers Formulas and Examples
  160.    wt: 2:   10 Integer Multiplication Formulas
  161.    wt: 2:   9 Multiplying Integers
  162.    wt: 2:   8 Multiplication by Signed Numbers Integers
  163.    wt: 2:   1 Integers as Coordinates
  164.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  165.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  166.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  167.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  168.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  169.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  170.    wt: 2:   6. Counting and adding units and mixed units
  171.    wt: 2:   1. Explaining Addition Table
  172.    wt: 2:   012 Division of Time Intervals by Time Intervals
  173.    wt: 2:   8 Addition of Time Intervals via subtotaling
  174.    wt: 2:   4 Mixing and Changing Units of Time
  175.    wt: 2:   4 Definite Integrals Evaluation Exercises
  176.    wt: 2:   29 Chain Rule Optional Reading
  177.    wt: 2:   25 Chain Rule Animated Examples Continued
  178.    wt: 2:   23 Chain Rule in general
  179.    wt: 2:   19 Chain Rule for linear functions
  180.    wt: 2:   18 Chain Rule Introduction
  181.    wt: 2:   17 Derivatives of quotients of sine and cosine
  182.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  183.    wt: 2:   15 sine and cosine derivatives 3rd step
  184.    wt: 2:   14 sine and cosine derivatives 2nd step
  185.    wt: 2:   13 sine and cosine derivatives 1st step
  186.    wt: 2:   11 Limits at infinity Three Examples
  187.    wt: 2:   10 Three one sided limits with infinite values
  188.    wt: 2:   6 Continuity at a point
  189.    wt: 2:   3 Decimal insights for limits continuity convergence
  190.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  191.    wt: 2:   F.4 Finite Covering Theorem
  192.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  193.    wt: 2:   Chapter 23 Links To Trigonometry
  194.    wt: 2:   Chapter 16. Painless Theorem Proving
  195.    wt: 2:   Chapter 15. Solving Linear Equations
  196.    wt: 2:   Chapter 10 Describing and Changing Calculations
  197.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  198.    wt: 2:   N Improving Marks on Tests and Finals
  199.    wt: 2:   G. Written work formats for developing and showing skill
  200.    wt: 2:   C. Domino effect of being careful
  201.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  202.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  203.    wt: 2:   Systematic Algebra Skill Development Missing Links
  204.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  205.    wt: 1:   K LAMP Musings Science Education
  206.    wt: 1:   I LAMP Introduction Study Habits
  207.    wt: 1:   F LAMP Introduction Prerequisites
  208.    wt: 1:   E LAMP Introduction Modern Mathematics
  209.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  210.    wt: 1:   A Introduction Objectives
  211.    wt: 1:   Skills Chapter 2 Geometry
  212.    wt: 1:   Skills Chapter 0 Introduction
  213.    wt: 1:   9 combinatorics probability sets
  214.    wt: 1:   8 analytic geometry etc
  215.    wt: 1:   7 logic review and decimals an odd combination
  216.    wt: 1:   site origins
  217.    wt: 1:   About site lesson plans
  218.    wt: 1:   learning takes time
  219.    wt: 1:   mathematics in context
  220.    wt: 1:   Education Reform Inconsistencies
  221.    wt: 1:   teaching tips
  222.    wt: 1:   Lessening Algebra Difficulties
  223.    wt: 1:   Operational Viewpoint to Value
  224.    wt: 1:   formal or informal peer review
  225.    wt: 1:   Theory of Knowledge
  226.    wt: 1:   Education in mathematics science and technology
  227.    wt: 1:   How to be a better instructor
  228.    wt: 1:   words for mathematics instructor
  229.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  230.    wt: 1:   chapitre 06 00 Chaines de la raison
  231.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  232.    wt: 1:   chapitre 01 00 Introduction
  233.    wt: 1:   deux definitions pour variable
  234.    wt: 1:   3 Like resistors in parallel
  235.    wt: 1:   2 Unlike resistors in parallel01
  236.    wt: 1:   1 Like resistors in series
  237.    wt: 1:   F Unlike Resistors in Series
  238.    wt: 1:   E Kirchoffs Second Law
  239.    wt: 1:   D Kirchoff First Law
  240.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  241.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  242.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  243.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  244.    wt: 1:   15 Counting For Parents
  245.    wt: 1:   14 Multiplication and Times Tables
  246.    wt: 1:   10 Ends values for work study instruction
  247.    wt: 1:   9 Streaming by Student Cooperation
  248.    wt: 1:   4 Learning Takes Time and Effort
  249.    wt: 1:   3 Preparing for Science Studies
  250.    wt: 1:   1 Speaking Skills
  251.    wt: 1:   Ages 12 to 14 Geometry
  252.    wt: 1:   Ages 10 to 12 Geometry
  253.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  254.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  255.    wt: 1:   23 Inverse Functions
  256.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  257.    wt: 1:   19 Horizontal line rule and method
  258.    wt: 1:   18 Vertical Line Rule and Method
  259.    wt: 1:   17 Function maxima minima and their location
  260.    wt: 1:   14 Surjections Injections Bijections
  261.    wt: 1:   12 Function Domain Recognition Exercises
  262.    wt: 1:   11 Function Domain Range Source and Targets
  263.    wt: 1:   10 Interval Notation
  264.    wt: 1:   4 Function notation in and beyond mathematics
  265.    wt: 1:   3 Formula or function graphing exercise
  266.    wt: 1:   1 Geometric Introduction of Function Notation
  267.    wt: 1:   5 quadratics completing the square
  268.    wt: 1:   1 quadratics graphing exercises
  269.    wt: 1:   Quadratics in 10 steps
  270.    wt: 1:   11 Growth and Decay in Biology
  271.    wt: 1:   8 Notes for instructors or tutors
  272.    wt: 1:   7 Links Lessons Elsewhere
  273.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  274.    wt: 1:   4 Polynomials Long division linear divisor
  275.    wt: 1:   3 Polynomials Multiplication Addition
  276.    wt: 1:   2 Column Multiplication Method
  277.    wt: 1:   Rewriting algebraic substitution as function substitutions
  278.    wt: 1:   11 arctan left inverse of tangent Graph
  279.    wt: 1:   9 motivation for name arcsin
  280.    wt: 1:   2 cosine function more properties
  281.    wt: 1:   1 cosine function properties
  282.    wt: 1:   7 Radian Measures in special Triangles
  283.    wt: 1:   1 Degrees and Radians Introduction
  284.    wt: 1:   9 Head to Tail Coordinate View
  285.    wt: 1:   8 Parallel Vectors
  286.    wt: 1:   3 Navigation with Arrows or Vectors
  287.    wt: 1:   2 Signed Coordinates
  288.    wt: 1:   1 Unsigned Coordinates
  289.    wt: 1:   3 graphing y=f(x c) plus K
  290.    wt: 1:   1 graphing y=f(x a)
  291.    wt: 1:   Parallel Lines and Parallel Transversals
  292.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  293.    wt: 1:   14 Straight Lines Equations General Case
  294.    wt: 1:   8 Straight Lines Equation for vertical
  295.    wt: 1:   7 Tangent Function is odd on this domain
  296.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  297.    wt: 1:   1 Straight Lines Slope Concept
  298.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  299.    wt: 1:   1 Unit Points Reflections Rotations
  300.    wt: 1:   Unit Circle Development of Trigonometry
  301.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  302.    wt: 1:   16 References and Originality Question
  303.    wt: 1:   8 Unit Circle Development of Trigonometry
  304.    wt: 1:   4 Multiplication Properties
  305.    wt: 1:   1 Rectangular Polar Coordinates Review
  306.    wt: 1:   8 Triangles Cascade Problem Solving
  307.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  308.    wt: 1:   Why Trigonometry the whyslopes view
  309.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  310.    wt: 1:   11 Triangle Similarity Missing Side Problem
  311.    wt: 1:   6 Geometric Diagrams in Class
  312.    wt: 1:   3 Similarity by Design with coordinates
  313.    wt: 1:   12 Links Lessons elsewhere
  314.    wt: 1:   10 Midpoint of [a b] and [b a]
  315.    wt: 1:   8 Mid Point Formula
  316.    wt: 1:   4 Equations for lines three forms
  317.    wt: 1:   3 Slope product for perpendicular lines
  318.    wt: 1:   1 Numerical view of lines and their equations
  319.    wt: 1:   12 Spatial Coordinates
  320.    wt: 1:   11 Triangle Inequality
  321.    wt: 1:   10 Pythagorean plane distance formula
  322.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  323.    wt: 1:   6 Polar Multiplication and Rotation
  324.    wt: 1:   4 Polar Coordinates to and from
  325.    wt: 1:   3 Rectangular Coordinates Review
  326.    wt: 1:   2 Cartesian Coordinates with signs
  327.    wt: 1:   1 Cartesian Coordinates sans signs
  328.    wt: 1:   PS D Addition with Cartesian Coordinates
  329.    wt: 1:   14 Parallel Lines Postulate
  330.    wt: 1:   1 Initial Concepts and Terms
  331.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  332.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  333.    wt: 1:   2 Measuring Area Directly
  334.    wt: 1:   musings do not puiblish real numbers
  335.    wt: 1:   A Modular and Remainder Arithmetic
  336.    wt: 1:   22 Multiplication of Signed Numbers
  337.    wt: 1:   21 Addition of Multiples of a Single Vector
  338.    wt: 1:   19 Signed Multiples of Vectors
  339.    wt: 1:   15 Head to Tails in place Addition Associative
  340.    wt: 1:   9 Division with Digits after Decimal Point
  341.    wt: 1:   1 Fractions with Finite Decimal Expansions
  342.    wt: 1:   7 Decimals Multiplication Methods Examples
  343.    wt: 1:   6 Column Methods for Decimal Multiplication
  344.    wt: 1:   3 Inequalities Algebraically
  345.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  346.    wt: 1:   5 Proportionality in Equivalent Fractions
  347.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  348.    wt: 1:   6 Compound Interest Forward and Backwards
  349.    wt: 1:   3 Linear Equation Literal Solution More
  350.    wt: 1:   2 Linear Equation Literal Solution
  351.    wt: 1:   1 Changing Calculations
  352.    wt: 1:   5 Equality in Algebra
  353.    wt: 1:   2 Addition and Multiplication Axioms
  354.    wt: 1:   5 Greater More Less Than Signs in General
  355.    wt: 1:   14 Real Number Multiplication
  356.    wt: 1:   12 Real Number Additive Inverses or Negatives
  357.    wt: 1:   2 Integers
  358.    wt: 1:   5 Independent versus Dependent Variables
  359.    wt: 1:   4 Changing Letters
  360.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  361.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  362.    wt: 1:   3 GE III Equation Addition and Multiplication
  363.    wt: 1:   4 Solving a triangular system exercise
  364.    wt: 1:   3 Solving triangular system example
  365.    wt: 1:   5 Algebraic Solutions Introduction
  366.    wt: 1:   Using Letters for Physical Quantities
  367.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  368.    wt: 1:   8 Compound Interest Formula Evaluation
  369.    wt: 1:   9 Sets in Probability and Statistics
  370.    wt: 1:   3 Counting with Sets etc
  371.    wt: 1:   1 Finite Sets
  372.    wt: 1:   5 Talking about Numbers and Quantities
  373.    wt: 1:   3 Adding Words To Arithmetic
  374.    wt: 1:   4 Greater More Less Than Signs in General
  375.    wt: 1:   1 Squares and Square Roots Introduction
  376.    wt: 1:   8 GCD from Euclidean Algorithm
  377.    wt: 1:   2 Least Common Multiple LCM intro via list method
  378.    wt: 1:   1 Least Common Multiples LCM Introduction
  379.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  380.    wt: 1:   4 Counting with Trees Product Rule Take I
  381.    wt: 1:   3 Counting with Tables and Trees II
  382.    wt: 1:   2 Counting with Tables and Trees I
  383.    wt: 1:   10 dividing signed numbers
  384.    wt: 1:   9 subtracting signed numbers
  385.    wt: 1:   8 multiplying signed numbers
  386.    wt: 1:   7 negative and additive inverse
  387.    wt: 1:   6 adding signed numbers
  388.    wt: 1:   2 signed and unsigned numbers as coordinates
  389.    wt: 1:   3 Multiplying Units and Numbers
  390.    wt: 1:   21 Working With Signs
  391.    wt: 1:   20 Dividing Fractions the Why
  392.    wt: 1:   19 Dividing Fractions How TO
  393.    wt: 1:   6 Multiplication of Mixed Numbers
  394.    wt: 1:   6 Multiplication Algebraically Take II
  395.    wt: 1:   4 Fraction Multiplication
  396.    wt: 1:   2 Unit Fraction Multiplication
  397.    wt: 1:   D Remainders Modulo 11 Pair Rule
  398.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  399.    wt: 1:   B Integer Long Division Multiple Choices
  400.    wt: 1:   A Associative Law Theorectical Note
  401.    wt: 1:   13 Subtraction with Additive Inverse
  402.    wt: 1:   7 Multiplication by Signs
  403.    wt: 1:   6 Multiplication by Natural Numbers
  404.    wt: 1:   5 Zero Movement and Additive Inverses
  405.    wt: 1:   4 Adding Movements wiht opposite directions
  406.    wt: 1:   3 Adding Movements with same direction
  407.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  408.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  409.    wt: 1:   23 Remainder Arithmetic Modulo 2
  410.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  411.    wt: 1:   21 Remainder Arithmetic Modulo 3
  412.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  413.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  414.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  415.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  416.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  417.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  418.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  419.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  420.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  421.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  422.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  423.    wt: 1:   5 Remainder Arithmetic Modulo 5
  424.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  425.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  426.    wt: 1:   1 Remainder Arithmetic Modulo 10
  427.    wt: 1:   17 Identify and Count Factors using Primes
  428.    wt: 1:   16 video Factors of 980 using prime
  429.    wt: 1:   15 video Factors of 20 using Prime Factorization
  430.    wt: 1:   13 video Factors of 24 using prime
  431.    wt: 1:   12 LCD GCD and LCM using Primes
  432.    wt: 1:   4 video Prime Factorization Introduction
  433.    wt: 1:   11 Another Single Digit Divisor Example
  434.    wt: 1:   8 Correcting the Mistake
  435.    wt: 1:   7 Long Divison Mistake Catching
  436.    wt: 1:   5 Long Division Include Zeroes or not
  437.    wt: 1:   3 Division Single Digit Divisor Example
  438.    wt: 1:   2 Division with Single Digit Divisors
  439.    wt: 1:   D Decimal Multiplication Methods Derived
  440.    wt: 1:   C Counting Areas with Powers of Ten
  441.    wt: 1:   A Elementary Basis for Multiplication Methods
  442.    wt: 1:   6 Multiplication Commutes Order Not Important
  443.    wt: 1:   5 Decimal Fraction Multiplication
  444.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  445.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  446.    wt: 1:   Video Power Notation in Decimal Expansion
  447.    wt: 1:   9 22 Minute Subtraction Review Video
  448.    wt: 1:   2 Decimal Counting Practices
  449.    wt: 1:   11 Place Value SI Standard International way
  450.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  451.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  452.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  453.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  454.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  455.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  456.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  457.    wt: 1:   016 Numbering Occidental Calendar Days
  458.    wt: 1:   015 School and work day counting tables
  459.    wt: 1:   014 Counting Days with Calendars
  460.    wt: 1:   011 Division of Time Intervals By Numbers
  461.    wt: 1:   010 Repeated Addition of Time Intervals
  462.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  463.    wt: 1:   7 Addition of Time Intervals
  464.    wt: 1:   2 Time and Date Matters in School
  465.    wt: 1:   1 Intro of Kids To Time Date Skills
  466.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  467.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  468.    wt: 1:   A Related Material in Volume 3
  469.    wt: 1:   3 Two Chain Rule Method Exercises
  470.    wt: 1:   A Related lessons in Volume 3
  471.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  472.    wt: 1:   A Chain Rule Real Player video examples
  473.    wt: 1:   33 Chain Rule Real Player video examples
  474.    wt: 1:   31 Derivatives of inverse functions
  475.    wt: 1:   30Chain Rule A Proof
  476.    wt: 1:   28 Chain Rule Preparation for a Proof
  477.    wt: 1:   24 Chain Rule Animated Examples
  478.    wt: 1:   22 Chain Rule for polynomials
  479.    wt: 1:   21 Chain Rule for powers
  480.    wt: 1:   20 Chain Rule for Pulley Systems
  481.    wt: 1:   10 Power rule for negative integers
  482.    wt: 1:   3 Motivation for Limit Definition Take 2
  483.    wt: 1:   2 Motivation for Limit Definition Take 1
  484.    wt: 1:   9 Limits Continuity and Composition
  485.    wt: 1:   1 Numerical introduction
  486.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  487.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  488.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  489.    wt: 1:   F.5a Equicontinuity Theorems
  490.    wt: 1:   F.3 Intermediate Value Theorem
  491.    wt: 1:   F.1 What Functions are Continuous
  492.    wt: 1:   E1 Error Control Inequalities
  493.    wt: 1:   C Triangle Inequalities
  494.    wt: 1:   PostScript For and Against Decimal Perspectives
  495.    wt: 1:   A1. Introduction
  496.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  497.    wt: 1:   Chapter 18. Slopes Areas Integration
  498.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  499.    wt: 1:   Chapter 11. Graphing Slope versus Position
  500.    wt: 1:   Chapter 9 About First Courses in Calculus
  501.    wt: 1:   Chapter 8. Slope Interpretation
  502.    wt: 1:   Chapter 1.Introduction
  503.    wt: 1:   Appendix D. What to do in School and Why
  504.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  505.    wt: 1:   Chapter 31 Direct and Indirect Reason
  506.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  507.    wt: 1:   Chapter 25. Mathematical Induction Examples
  508.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  509.    wt: 1:   Chapter 21. Third Reading Guide
  510.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  511.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  512.    wt: 1:   Chapter 13. Second Reading Guide
  513.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  514.    wt: 1:   Chapter 4 Longer Chains of Reason
  515.    wt: 1:   Chapter 3 Chains of Reason
  516.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  517.    wt: 1:   Annotated Links to Material Elsehwere
  518.    wt: 1:   Chapter 11 Elementary Instruction
  519.    wt: 1:   Chapter 8 Modern Instruction
  520.    wt: 1:   Chapter 7 Two Treatments of Geometry
  521.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  522.    wt: 1:   Chapter 2 For and Against Mathematics
  523.    wt: 1:   Chapter 1 Introduction
  524.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  525.    wt: 1:   Postscript B More on Story Telling and Reason
  526.    wt: 1:   Postscript A Story Telling
  527.    wt: 1:   Chapter 24 Direct and Indirect Reason
  528.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  529.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  530.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  531.    wt: 1:   Chapter 7 Longer Chains of Reason
  532.    wt: 1:   Chapter 6 Chains of Reason
  533.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  534.    wt: 1:   Chapter 1 Introduction
  535.    wt: 1:   S Adding words to algebra
  536.    wt: 1:   O On Learning Mathematics and Science
  537.    wt: 1:   J. More on written work and showing skill
  538.    wt: 1:   H Jigsaw puzzles and problem solving
  539.    wt: 1:   B. Domino effect of errors
  540.    wt: 1:   Chapter 6 More Algebra and Geometry
  541.    wt: 1:   7 Games and Activities for Instruction
  542.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  543.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  544.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

850 matches:

  1.    wt: 9:   8 arcsin left inverse of sine Graph
  2.    wt: 9:   3 Left Inverse of cosine arccos definition
  3.    wt: 9:   7 Coordinate Addition and Scalar Multiplication
  4.    wt: 9:   4 graphing y=Asin(x c)
  5.    wt: 9:   2 Graphing y=Af(x) Vertical Scaling
  6.    wt: 9:   Parallel Lines and Alternating Corresponding Angles
  7.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  8.    wt: 9:   28 Expressing products of sines cosines as sums
  9.    wt: 9:   9 Midpoint Coordinates Half Endpoint Sum
  10.    wt: 9:   2 point slope equation for a line
  11.    wt: 9:   6 Figuring with Maps Not to Scale
  12.    wt: 9:   4 Angles on Maps Plans drawn to scale
  13.    wt: 9:   3 Lengths and Areas on Maps and Plans
  14.    wt: 8:   16 cotangent function Definition Graph and Inverse
  15.    wt: 8:   15 cosecant function Definition Graph and Inverse
  16.    wt: 8:   14 secant function Definition Graph and Inverse
  17.    wt: 8:   13 cosecant function Definition Graph and Inverse
  18.    wt: 8:   10 arctan left inverse of tangent Definition
  19.    wt: 8:   5 Swapping Coordinates is a reflection
  20.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  21.    wt: 8:   13 Velocity Vectors in Physics
  22.    wt: 8:   6 Vectors with Coordinates
  23.    wt: 8:   2 Signed Coordinates
  24.    wt: 8:   3 graphing y=f(x c) plus K
  25.    wt: 8:   1 graphing y=f(x a)
  26.    wt: 8:   Parallel Lines and Interior Angles
  27.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  28.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  29.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  30.    wt: 8:   C Straight Lines Slope from Coordinates
  31.    wt: 8:   B Straight Line Slope Scaling Properties More
  32.    wt: 8:   A Straight Line Slope Scaling Properties
  33.    wt: 8:   12 Straight Lines Graphing mx plus b
  34.    wt: 8:   11 Straight Lines Graphing y=mx
  35.    wt: 8:   10 Straight Lines through Origin Equations More
  36.    wt: 8:   9 Straight Lines through Origin Equations
  37.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  38.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  39.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  40.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  41.    wt: 8:   27 Logarithmic use of products of sines and cosines
  42.    wt: 8:   26 Formulas for products of sines and cosines
  43.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  44.    wt: 8:   21 sine and cosine Half Angle Formulas
  45.    wt: 8:   20 sine and cosine Double Angle Formulas
  46.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  47.    wt: 8:   18 sum of sinusoidal waves as a single wave
  48.    wt: 8:   17F Law of cosines
  49.    wt: 8:   17D cis formulas for sine cosines and tangent
  50.    wt: 8:   17C sine and cosine double triple angle formulas
  51.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  52.    wt: 8:   15 sine cosine Complementary Angle Relations
  53.    wt: 8:   14 cosine even and sine and tangent are odd
  54.    wt: 8:   11 tangent function undefined when terminal side vertical
  55.    wt: 8:   10 Graphs of sines and cosines many periods
  56.    wt: 8:   9 Graphs of sine and cosine over one period
  57.    wt: 8:   7 period of sine and cosine
  58.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  59.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  60.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  61.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  62.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  63.    wt: 8:   3 Trigonometric Ratios sine and cosine
  64.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  65.    wt: 8:   8 Distance Between Points on a Line
  66.    wt: 8:   2 Cartesian Coordinates with signs
  67.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  68.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  69.    wt: 8:   2 Measuring Area Directly
  70.    wt: 7:   11 arctan left inverse of tangent Graph
  71.    wt: 7:   9 motivation for name arcsin
  72.    wt: 7:   2 cosine function more properties
  73.    wt: 7:   1 cosine function properties
  74.    wt: 7:   9 Head to Tail Coordinate View
  75.    wt: 7:   8 Parallel Vectors
  76.    wt: 7:   3 Navigation with Arrows or Vectors
  77.    wt: 7:   1 Unsigned Coordinates
  78.    wt: 7:   Parallel Lines and Parallel Transversals
  79.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  80.    wt: 7:   14 Straight Lines Equations General Case
  81.    wt: 7:   8 Straight Lines Equation for vertical
  82.    wt: 7:   7 Tangent Function is odd on this domain
  83.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  84.    wt: 7:   1 Straight Lines Slope Concept
  85.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  86.    wt: 7:   1 Unit Points Reflections Rotations
  87.    wt: 7:   Unit Circle Development of Trigonometry
  88.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  89.    wt: 7:   14 Law of cosines
  90.    wt: 7:   12 cis formulas for sine cosines and tangent
  91.    wt: 7:   11 sine and cosine double triple angle formulas
  92.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  93.    wt: 7:   5 An Easy Proof of the Distributive Law
  94.    wt: 7:   8 Triangles Cascade Problem Solving
  95.    wt: 7:   Why Trigonometry the whyslopes view
  96.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  97.    wt: 7:   4 Similarity Definition with Coordinate
  98.    wt: 7:   12 Links Lessons elsewhere
  99.    wt: 7:   10 Midpoint of [a b] and [b a]
  100.    wt: 7:   8 Mid Point Formula
  101.    wt: 7:   4 Equations for lines three forms
  102.    wt: 7:   3 Slope product for perpendicular lines
  103.    wt: 7:   1 Numerical view of lines and their equations
  104.    wt: 7:   12 Spatial Coordinates
  105.    wt: 7:   11 Triangle Inequality
  106.    wt: 7:   10 Pythagorean plane distance formula
  107.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  108.    wt: 7:   6 Polar Multiplication and Rotation
  109.    wt: 7:   4 Polar Coordinates to and from
  110.    wt: 7:   3 Rectangular Coordinates Review
  111.    wt: 7:   1 Cartesian Coordinates sans signs
  112.    wt: 7:   A Measurement with Ruler Proper Use
  113.    wt: 7:   1 Length Measurement
  114.    wt: 7:   7 Adding decimal fractions using decimal point
  115.    wt: 6:   12 motivation for term arctan
  116.    wt: 6:   6 Graph of arccos function
  117.    wt: 6:   4 possible motivation for term arccos
  118.    wt: 6:   7 Radian Measures in special Triangles
  119.    wt: 6:   1 Degrees and Radians Introduction
  120.    wt: 6:   A Global Time and Navigation
  121.    wt: 6:   15 Dot and Cross Product
  122.    wt: 6:   12 From Applied To Pure Mathematics
  123.    wt: 6:   11 Component Method
  124.    wt: 6:   10 Parallelogram Addition Method
  125.    wt: 6:   5 Head To Tail Arrow Addition
  126.    wt: 6:   4 Resultant of a Sum of Movements
  127.    wt: 6:   Vector and Complex Number Applet
  128.    wt: 6:   Triangle Angles Sum To 180 Degrees
  129.    wt: 6:   5 Tangent Function Graph
  130.    wt: 6:   4 Tangent Function Properties
  131.    wt: 6:   17 tangent function angle sum formulas
  132.    wt: 6:   32 seven rows of pascals triangle
  133.    wt: 6:   31 basic secant cosecant cotangent trig identities
  134.    wt: 6:   30 unit circle calculation of six trigonometric functions
  135.    wt: 6:   29 secant cosecant and cotangent for acute angles
  136.    wt: 6:   25 tangent double angle formula Slope connection
  137.    wt: 6:   24 tangent Angle Difference Formula
  138.    wt: 6:   17G Pythagorean Theorem Converse
  139.    wt: 6:   17E Trig Formulas for dot and cross Products
  140.    wt: 6:   17A The complex number valued trig function cis
  141.    wt: 6:   16 Right Triangle Complementary Angle Relations
  142.    wt: 6:   13 Graph of tangent function many periods
  143.    wt: 6:   12 Graph of tangent function for one period
  144.    wt: 6:   8 period of tangent function
  145.    wt: 6:   2 Quadrant I reference Angles
  146.    wt: 6:   16 References and Originality Question
  147.    wt: 6:   8 Unit Circle Development of Trigonometry
  148.    wt: 6:   4 Multiplication Properties
  149.    wt: 6:   2 Complex Numbers made easier we hope
  150.    wt: 6:   1 Rectangular Polar Coordinates Review
  151.    wt: 6:   7 Trignometric Ratios Unit Circle
  152.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  153.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  154.    wt: 6:   1 Angle Measurement with Degrees
  155.    wt: 6:   11 Triangle Similarity Missing Side Problem
  156.    wt: 6:   6 Geometric Diagrams in Class
  157.    wt: 6:   3 Similarity by Design with coordinates
  158.    wt: 6:   Four Simple Exercises
  159.    wt: 6:   11 A Partial Summary
  160.    wt: 6:   7 Exercises to test skill and concept mastery
  161.    wt: 6:   5 Algebraic View of Slopes
  162.    wt: 6:   What is and is not here
  163.    wt: 6:   13 Pythagorean spatial distance formulas
  164.    wt: 6:   7 Complex Numbers Appetizer
  165.    wt: 6:   5 Cartesian Addition and Translation
  166.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  167.    wt: 6:   2 Combing Counts Addition Skills and Principles
  168.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  169.    wt: 6:   6. Counting and adding units and mixed units
  170.    wt: 6:   1. Explaining Addition Table
  171.    wt: 5:   9 Summary Degrees to Radians and back
  172.    wt: 5:   8 Radian Measures of Common Angles
  173.    wt: 5:   6 Radian Measure to Degrees
  174.    wt: 5:   5 Degrees to Radian Measure
  175.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  176.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  177.    wt: 5:   2 Radian Measure Numerical Value of one degree
  178.    wt: 5:   21 Logarithms Powers and Exponentials
  179.    wt: 5:   20 N th Roots of Complex Numbers
  180.    wt: 5:   19 N th Roots of Unity
  181.    wt: 5:   18 Sixth Roots of Unity
  182.    wt: 5:   17 Cube Roots of unity
  183.    wt: 5:   15 Pythagorean Theorem Converse
  184.    wt: 5:   13 Trig Formulas for dot and cross Products
  185.    wt: 5:   9 The complex number valued trig function cis
  186.    wt: 5:   7 Second Way to Calculate Products
  187.    wt: 5:   6 Field Properties of Complex Number
  188.    wt: 5:   3 Addition Properties
  189.    wt: 5:   Appetizer A Complex Number Applet
  190.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  191.    wt: 5:   12 Triangles Similarity More Problems
  192.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  193.    wt: 5:   9 Similarity of Triangles Usual Criteria
  194.    wt: 5:   8 Similarity of Triangles and Polygons
  195.    wt: 5:   7 Translations Rotations Reflections Dilatations
  196.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  197.    wt: 5:   2 Similarity By Design
  198.    wt: 5:   1 Early Concept of Like or Similar Shapes
  199.    wt: 5:   About Folder Contents
  200.    wt: 5:   8 Column Multiplication Methods in General
  201.    wt: 5:   5 Distributive Law for Whole Numbers
  202.    wt: 5:   4 Commutative Law Groups Counting Form
  203.    wt: 5:   3 Multiplicative Counting Skills Principles
  204.    wt: 5:   1 The Counting Origins of Numbers
  205.    wt: 5:   9 22 Minute Subtraction Review Video
  206.    wt: 5:   2 Subtraction Easy Case Examples
  207.    wt: 5:   2 Decimal Counting Practices
  208.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  209.    wt: 4:   20 Interchanging coordinates a reflection
  210.    wt: 4:   16 Increasing or decreasing on intervals
  211.    wt: 4:   13 Arrows and Vectors in a Plane
  212.    wt: 4:   3 Location of Point in Decimal Multiplication
  213.    wt: 4:   2 Counting Digits in Decimal Multiplication
  214.    wt: 4:   7 Decimals Multiplication Methods Examples
  215.    wt: 4:   6 Column Methods for Decimal Multiplication
  216.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  217.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  218.    wt: 4:   3 GE III Equation Addition and Multiplication
  219.    wt: 4:   2 GE II Comparison
  220.    wt: 4:   4 Solving a triangular system exercise
  221.    wt: 4:   3 Solving triangular system example
  222.    wt: 4:   2 Essentially one exercises three with solution
  223.    wt: 4:   1 Counting and Counting Methods I
  224.    wt: 4:   3 signed coordinates for maps and planes
  225.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  226.    wt: 4:   14 Adding and Subtracting with Like Denominators
  227.    wt: 4:   12 Adding Integers More Examples
  228.    wt: 4:   11 Adding Integers Formulas and Examples
  229.    wt: 4:   10 Integer Multiplication Formulas
  230.    wt: 4:   9 Multiplying Integers
  231.    wt: 4:   8 Multiplication by Signed Numbers Integers
  232.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  233.    wt: 4:   1 Integers as Coordinates
  234.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  235.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  236.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  237.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  238.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  239.    wt: 4:   2 Division with Single Digit Divisors
  240.    wt: 4:   D Decimal Multiplication Methods Derived
  241.    wt: 4:   C Counting Areas with Powers of Ten
  242.    wt: 4:   A Elementary Basis for Multiplication Methods
  243.    wt: 4:   6 Multiplication Commutes Order Not Important
  244.    wt: 4:   5 Decimal Fraction Multiplication
  245.    wt: 4:   2 One Digit Multipliers
  246.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  247.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  248.    wt: 4:   Video Power Notation in Decimal Expansion
  249.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  250.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  251.    wt: 4:   Subtraction with J Conversions Example
  252.    wt: 4:   Subtraction Another Video Lesson
  253.    wt: 4:   8 Subtraction with Units of Measure
  254.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  255.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  256.    wt: 4:   5 A Tip for Efficent Subtraction
  257.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  258.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  259.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  260.    wt: 4:   8 What skills and work habits to require
  261.    wt: 4:   5. How to add decimals C. Examples
  262.    wt: 4:   4. How to add with decimals B with conversions
  263.    wt: 4:   3. How to add with decimals A sans conversions
  264.    wt: 4:   2 Indefinite Integrals Exercises
  265.    wt: 4:   1 Chain Rule in Reverse Integration Method
  266.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  267.    wt: 4:   26 Chain Rule Recognising outer inner functions
  268.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  269.    wt: 3:   J LAMP Introduction Extrinsic Origins
  270.    wt: 3:   Ramblings Extrinsic numbers theory
  271.    wt: 3:   Maps Plans Drawings
  272.    wt: 3:   Different Kinds of Reasoning in maths
  273.    wt: 3:   fairness and inductive principles for instruction
  274.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  275.    wt: 3:   2 Reading and Writing Skills
  276.    wt: 3:   23 Distributive Law Two Derivations
  277.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  278.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  279.    wt: 3:   12 Real Numbers Line Signed Coordinates
  280.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  281.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  282.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  283.    wt: 3:   4 Location of Point in Decimal Addition
  284.    wt: 3:   E Long Division Methods more
  285.    wt: 3:   D Long Division Methods
  286.    wt: 3:   C Three Decimal Subtraction Methods
  287.    wt: 3:   B Decimal Comparison and Subtraction
  288.    wt: 3:   A Decimal Addition Columm Methods
  289.    wt: 3:   8 Coordinates for Maps and Planes
  290.    wt: 3:   4 GE III Animated Examples
  291.    wt: 3:   1 GE Substitution four examples
  292.    wt: 3:   1 Essentially One Unknown
  293.    wt: 3:   5 Algebraic Solutions Introduction
  294.    wt: 3:   2 Three Examples
  295.    wt: 3:   2 Three Examples
  296.    wt: 3:   Using Letters for Physical Quantities
  297.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  298.    wt: 3:   4 Counting with Trees Product Rule Take I
  299.    wt: 3:   3 Counting with Tables and Trees II
  300.    wt: 3:   2 Counting with Tables and Trees I
  301.    wt: 3:   4 signed coordinates for regions in space
  302.    wt: 3:   7 Converting or Changing Units
  303.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  304.    wt: 3:   D Remainders Modulo 11 Pair Rule
  305.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  306.    wt: 3:   B Integer Long Division Multiple Choices
  307.    wt: 3:   A Associative Law Theorectical Note
  308.    wt: 3:   13 Subtraction with Additive Inverse
  309.    wt: 3:   7 Multiplication by Signs
  310.    wt: 3:   6 Multiplication by Natural Numbers
  311.    wt: 3:   5 Zero Movement and Additive Inverses
  312.    wt: 3:   4 Adding Movements wiht opposite directions
  313.    wt: 3:   3 Adding Movements with same direction
  314.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  315.    wt: 3:   23 Remainder Arithmetic Modulo 2
  316.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  317.    wt: 3:   21 Remainder Arithmetic Modulo 3
  318.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  319.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  320.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  321.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  322.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  323.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  324.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  325.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  326.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  327.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  328.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  329.    wt: 3:   5 Remainder Arithmetic Modulo 5
  330.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  331.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  332.    wt: 3:   1 Remainder Arithmetic Modulo 10
  333.    wt: 3:   11 Another Single Digit Divisor Example
  334.    wt: 3:   8 Correcting the Mistake
  335.    wt: 3:   7 Long Divison Mistake Catching
  336.    wt: 3:   5 Long Division Include Zeroes or not
  337.    wt: 3:   3 Division Single Digit Divisor Example
  338.    wt: 3:   B Powers of Ten
  339.    wt: 3:   4 Two and Three Digit Multipliers
  340.    wt: 3:   3 More One Digit Multipliers
  341.    wt: 3:   1 Why 3 times 5 gives 15
  342.    wt: 3:   4 Definite Integrals Evaluation Exercises
  343.    wt: 3:   29 Chain Rule Optional Reading
  344.    wt: 3:   25 Chain Rule Animated Examples Continued
  345.    wt: 3:   23 Chain Rule in general
  346.    wt: 3:   19 Chain Rule for linear functions
  347.    wt: 3:   18 Chain Rule Introduction
  348.    wt: 3:   17 Derivatives of quotients of sine and cosine
  349.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  350.    wt: 3:   15 sine and cosine derivatives 3rd step
  351.    wt: 3:   14 sine and cosine derivatives 2nd step
  352.    wt: 3:   13 sine and cosine derivatives 1st step
  353.    wt: 3:   11 Limits at infinity Three Examples
  354.    wt: 3:   10 Three one sided limits with infinite values
  355.    wt: 3:   6 Continuity at a point
  356.    wt: 3:   3 Decimal insights for limits continuity convergence
  357.    wt: 3:   Chapter 23 Links To Trigonometry
  358.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  359.    wt: 3:   H more Routine to non routine problem solving
  360.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  361.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  362.    wt: 3:   Helping the Blind in Logic and Mathematics
  363.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  364.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  365.    wt: 2:   H LAMP Introduction Instructional Concepts
  366.    wt: 2:   G LAMP Introduction Problem Solving Skills
  367.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  368.    wt: 2:   Ramblings Introduction Algebra Essay
  369.    wt: 2:   3 Euclidean Geometry Leanly
  370.    wt: 2:   links Education Resources online
  371.    wt: 2:   grouping students according to ability
  372.    wt: 2:   teaching tutoring algebraic reason
  373.    wt: 2:   mathematics instruction in general
  374.    wt: 2:   three kinds of reason in mathematics
  375.    wt: 2:   cultivating intelligence
  376.    wt: 2:   Prequel In For A Penny In For A Pound
  377.    wt: 2:   chapitre 07 01 principle D induction mathematique
  378.    wt: 2:   Home Tutoring and Home Schooling
  379.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  380.    wt: 2:   26 Function definitions done and coming
  381.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  382.    wt: 2:   9 Set theory term relation possible origins
  383.    wt: 2:   7 Functions with finite domains
  384.    wt: 2:   Introduction Reading Guide
  385.    wt: 2:   3 quadratics factoring by inspection
  386.    wt: 2:   2 quadratics graphing in general
  387.    wt: 2:   1 Polynomials Distributive Law
  388.    wt: 2:   musings do not puiblish real numbers
  389.    wt: 2:   A Modular and Remainder Arithmetic
  390.    wt: 2:   22 Multiplication of Signed Numbers
  391.    wt: 2:   21 Addition of Multiples of a Single Vector
  392.    wt: 2:   19 Signed Multiples of Vectors
  393.    wt: 2:   15 Head to Tails in place Addition Associative
  394.    wt: 2:   9 Division with Digits after Decimal Point
  395.    wt: 2:   1 Fractions with Finite Decimal Expansions
  396.    wt: 2:   3 Inequalities Algebraically
  397.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  398.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  399.    wt: 2:   6 Compound Interest Forward and Backwards
  400.    wt: 2:   3 Linear Equation Literal Solution More
  401.    wt: 2:   2 Linear Equation Literal Solution
  402.    wt: 2:   1 Changing Calculations
  403.    wt: 2:   5 Greater More Less Than Signs in General
  404.    wt: 2:   9 Coordinates for Regions in Space
  405.    wt: 2:   7 Real Numbers as Line Cordinates
  406.    wt: 2:   More Exercises
  407.    wt: 2:   Simple Exercises
  408.    wt: 2:   6 Algebraic Solution Example
  409.    wt: 2:   4 Four Examples Fractional Coefficients
  410.    wt: 2:   3 Four Examples
  411.    wt: 2:   1 Proper Equal Sign Usage
  412.    wt: 2:   Skill Development Notes
  413.    wt: 2:   10 One Example
  414.    wt: 2:   9 Three Examples
  415.    wt: 2:   8 One Example
  416.    wt: 2:   7 Two Examples
  417.    wt: 2:   6 Three Examples
  418.    wt: 2:   5 Three Examples
  419.    wt: 2:   4 Two Examples
  420.    wt: 2:   3 Two Examples
  421.    wt: 2:   Formula Usage Show Work Format
  422.    wt: 2:   13 Naming Identifying Formulas with Words
  423.    wt: 2:   7 Compound Interest Formula Introduction
  424.    wt: 2:   1 Written work formats for developing and showing skill
  425.    wt: 2:   9 Sets in Probability and Statistics
  426.    wt: 2:   3 Counting with Sets etc
  427.    wt: 2:   1 Finite Sets
  428.    wt: 2:   4 Greater More Less Than Signs in General
  429.    wt: 2:   2 More and Less Than with Unlike Signs
  430.    wt: 2:   1 Squares and Square Roots Introduction
  431.    wt: 2:   8 GCD from Euclidean Algorithm
  432.    wt: 2:   2 Least Common Multiple LCM intro via list method
  433.    wt: 2:   1 Least Common Multiples LCM Introduction
  434.    wt: 2:   10 dividing signed numbers
  435.    wt: 2:   9 subtracting signed numbers
  436.    wt: 2:   8 multiplying signed numbers
  437.    wt: 2:   7 negative and additive inverse
  438.    wt: 2:   6 adding signed numbers
  439.    wt: 2:   2 signed and unsigned numbers as coordinates
  440.    wt: 2:   3 Multiplying Units and Numbers
  441.    wt: 2:   21 Working With Signs
  442.    wt: 2:   20 Dividing Fractions the Why
  443.    wt: 2:   19 Dividing Fractions How TO
  444.    wt: 2:   6 Multiplication of Mixed Numbers
  445.    wt: 2:   6 Multiplication Algebraically Take II
  446.    wt: 2:   4 Fraction Multiplication
  447.    wt: 2:   2 Unit Fraction Multiplication
  448.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  449.    wt: 2:   26 Divisibility by 2 3 5 Example
  450.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  451.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  452.    wt: 2:   17 Identify and Count Factors using Primes
  453.    wt: 2:   16 video Factors of 980 using prime
  454.    wt: 2:   15 video Factors of 20 using Prime Factorization
  455.    wt: 2:   13 video Factors of 24 using prime
  456.    wt: 2:   12 LCD GCD and LCM using Primes
  457.    wt: 2:   4 video Prime Factorization Introduction
  458.    wt: 2:   2 Prime and Composites less than 16
  459.    wt: 2:   Long Division Backwards more
  460.    wt: 2:   Long Division Backward
  461.    wt: 2:   Division with Counts and Length
  462.    wt: 2:   Long Division forwards and backwards Example 3
  463.    wt: 2:   Long Division forwards and backwards Example 2
  464.    wt: 2:   Long Division forwards and backwards Example 1
  465.    wt: 2:   12 Why Long Division Works Take III
  466.    wt: 2:   10 Division by Five Long and Short Ways
  467.    wt: 2:   9 Why Long Division Works Take II
  468.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  469.    wt: 2:   4 Division with 2 Digit Divsors
  470.    wt: 2:   1 Divsion Physical Examples
  471.    wt: 2:   11 Place Value SI Standard International way
  472.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  473.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  474.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  475.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  476.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  477.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  478.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  479.    wt: 2:   012 Division of Time Intervals by Time Intervals
  480.    wt: 2:   8 Addition of Time Intervals via subtotaling
  481.    wt: 2:   4 Mixing and Changing Units of Time
  482.    wt: 2:   A Related Material in Volume 3
  483.    wt: 2:   3 Two Chain Rule Method Exercises
  484.    wt: 2:   A Related lessons in Volume 3
  485.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  486.    wt: 2:   A Chain Rule Real Player video examples
  487.    wt: 2:   33 Chain Rule Real Player video examples
  488.    wt: 2:   31 Derivatives of inverse functions
  489.    wt: 2:   30Chain Rule A Proof
  490.    wt: 2:   28 Chain Rule Preparation for a Proof
  491.    wt: 2:   24 Chain Rule Animated Examples
  492.    wt: 2:   22 Chain Rule for polynomials
  493.    wt: 2:   21 Chain Rule for powers
  494.    wt: 2:   20 Chain Rule for Pulley Systems
  495.    wt: 2:   10 Power rule for negative integers
  496.    wt: 2:   3 Motivation for Limit Definition Take 2
  497.    wt: 2:   2 Motivation for Limit Definition Take 1
  498.    wt: 2:   9 Limits Continuity and Composition
  499.    wt: 2:   1 Numerical introduction
  500.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  501.    wt: 2:   F.4 Finite Covering Theorem
  502.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  503.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  504.    wt: 2:   Chapter 18. Slopes Areas Integration
  505.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  506.    wt: 2:   Chapter 11. Graphing Slope versus Position
  507.    wt: 2:   Chapter 9 About First Courses in Calculus
  508.    wt: 2:   Chapter 8. Slope Interpretation
  509.    wt: 2:   Chapter 1.Introduction
  510.    wt: 2:   Chapter 16. Painless Theorem Proving
  511.    wt: 2:   Chapter 15. Solving Linear Equations
  512.    wt: 2:   Chapter 10 Describing and Changing Calculations
  513.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  514.    wt: 2:   N Improving Marks on Tests and Finals
  515.    wt: 2:   G. Written work formats for developing and showing skill
  516.    wt: 2:   C. Domino effect of being careful
  517.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  518.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  519.    wt: 2:   Systematic Algebra Skill Development Missing Links
  520.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  521.    wt: 1:   K LAMP Musings Science Education
  522.    wt: 1:   I LAMP Introduction Study Habits
  523.    wt: 1:   F LAMP Introduction Prerequisites
  524.    wt: 1:   E LAMP Introduction Modern Mathematics
  525.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  526.    wt: 1:   A Introduction Objectives
  527.    wt: 1:   Skills Chapter 2 Geometry
  528.    wt: 1:   Skills Chapter 0 Introduction
  529.    wt: 1:   9 combinatorics probability sets
  530.    wt: 1:   8 analytic geometry etc
  531.    wt: 1:   7 logic review and decimals an odd combination
  532.    wt: 1:   site origins
  533.    wt: 1:   About site lesson plans
  534.    wt: 1:   learning takes time
  535.    wt: 1:   mathematics in context
  536.    wt: 1:   Education Reform Inconsistencies
  537.    wt: 1:   teaching tips
  538.    wt: 1:   Lessening Algebra Difficulties
  539.    wt: 1:   Operational Viewpoint to Value
  540.    wt: 1:   formal or informal peer review
  541.    wt: 1:   Theory of Knowledge
  542.    wt: 1:   Education in mathematics science and technology
  543.    wt: 1:   How to be a better instructor
  544.    wt: 1:   words for mathematics instructor
  545.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  546.    wt: 1:   chapitre 06 00 Chaines de la raison
  547.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  548.    wt: 1:   chapitre 01 00 Introduction
  549.    wt: 1:   deux definitions pour variable
  550.    wt: 1:   2 Conductance Resistance Duality02
  551.    wt: 1:   3 Like resistors in parallel
  552.    wt: 1:   2 Unlike resistors in parallel01
  553.    wt: 1:   1 Like resistors in series
  554.    wt: 1:   F Unlike Resistors in Series
  555.    wt: 1:   E Kirchoffs Second Law
  556.    wt: 1:   D Kirchoff First Law
  557.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  558.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  559.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  560.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  561.    wt: 1:   15 Counting For Parents
  562.    wt: 1:   14 Multiplication and Times Tables
  563.    wt: 1:   10 Ends values for work study instruction
  564.    wt: 1:   9 Streaming by Student Cooperation
  565.    wt: 1:   4 Learning Takes Time and Effort
  566.    wt: 1:   3 Preparing for Science Studies
  567.    wt: 1:   1 Speaking Skills
  568.    wt: 1:   Ages 12 to 14 Geometry
  569.    wt: 1:   Ages 10 to 12 Geometry
  570.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  571.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  572.    wt: 1:   23 Inverse Functions
  573.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  574.    wt: 1:   19 Horizontal line rule and method
  575.    wt: 1:   18 Vertical Line Rule and Method
  576.    wt: 1:   17 Function maxima minima and their location
  577.    wt: 1:   14 Surjections Injections Bijections
  578.    wt: 1:   12 Function Domain Recognition Exercises
  579.    wt: 1:   11 Function Domain Range Source and Targets
  580.    wt: 1:   10 Interval Notation
  581.    wt: 1:   4 Function notation in and beyond mathematics
  582.    wt: 1:   3 Formula or function graphing exercise
  583.    wt: 1:   1 Geometric Introduction of Function Notation
  584.    wt: 1:   5 quadratics completing the square
  585.    wt: 1:   1 quadratics graphing exercises
  586.    wt: 1:   Quadratics in 10 steps
  587.    wt: 1:   11 Growth and Decay in Biology
  588.    wt: 1:   8 Notes for instructors or tutors
  589.    wt: 1:   7 Links Lessons Elsewhere
  590.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  591.    wt: 1:   4 Polynomials Long division linear divisor
  592.    wt: 1:   3 Polynomials Multiplication Addition
  593.    wt: 1:   2 Column Multiplication Method
  594.    wt: 1:   Rewriting algebraic substitution as function substitutions
  595.    wt: 1:   A Signed Number Arithmetic Review
  596.    wt: 1:   26 More Less Greater Than Comparison
  597.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  598.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  599.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  600.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  601.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  602.    wt: 1:   11 Signed Number Addition and Addition Properties
  603.    wt: 1:   8 Division and Mulplication of Compound Fractions
  604.    wt: 1:   5 Areas of Rectangles Revisited
  605.    wt: 1:   4 Fraction Operations Axiomatic Development
  606.    wt: 1:   2 Fraction Operations Physical Development
  607.    wt: 1:   5 Proportionality in Equivalent Fractions
  608.    wt: 1:   2 Algebraic View
  609.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  610.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  611.    wt: 1:   5 Triangle Area Formula Backwards
  612.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  613.    wt: 1:   5 Equality in Algebra
  614.    wt: 1:   2 Addition and Multiplication Axioms
  615.    wt: 1:   4 Comparison of Negative Numbers
  616.    wt: 1:   3 More and Less Than with Unlike Signs
  617.    wt: 1:   2 More and Less Than for Counts and Measures
  618.    wt: 1:   1 Real Numbers Comparison
  619.    wt: 1:   14 Real Number Multiplication
  620.    wt: 1:   12 Real Number Additive Inverses or Negatives
  621.    wt: 1:   2 Integers
  622.    wt: 1:   5 Independent versus Dependent Variables
  623.    wt: 1:   4 Changing Letters
  624.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  625.    wt: 1:   8 Compound Interest Formula Evaluation
  626.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  627.    wt: 1:   8 Sets of Numbers
  628.    wt: 1:   7 Cautious or Safe Set Construction
  629.    wt: 1:   6 Power Set Notation
  630.    wt: 1:   5 Product Builder Notation
  631.    wt: 1:   4 Subset Builder Notation
  632.    wt: 1:   2 Venn Diagrams
  633.    wt: 1:   5 Talking about Numbers and Quantities
  634.    wt: 1:   3 Adding Words To Arithmetic
  635.    wt: 1:   arithmetic videos Real Player Format
  636.    wt: 1:   3 Comparison of Negative Numbers
  637.    wt: 1:   1 More and Less Than for Counts and Measures
  638.    wt: 1:   5 Square Roots with primes more still
  639.    wt: 1:   4 Square Roots with primes more
  640.    wt: 1:   3 Properties of Square Roots with example
  641.    wt: 1:   2 Square Roots with Prime
  642.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  643.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  644.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  645.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  646.    wt: 1:   13 GCD from given Prime Factorization
  647.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  648.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  649.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  650.    wt: 1:   7 GCD and LCM from prime factorization
  651.    wt: 1:   6 GCD from Prime
  652.    wt: 1:   5 Common Divisors 60 45 via Prime
  653.    wt: 1:   4 LCM of 8 and 10 via Prime
  654.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  655.    wt: 1:   12 GCD 2700 288 via Prime
  656.    wt: 1:   11 What are real lengths and numbers
  657.    wt: 1:   5 lengths and signs of numbers
  658.    wt: 1:   6 Simplification of Fractions with Units
  659.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  660.    wt: 1:   4 Fractions with Units
  661.    wt: 1:   2 Equality and Units
  662.    wt: 1:   1 Addition and Subtraction with Units
  663.    wt: 1:   D Three Term Ratios
  664.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  665.    wt: 1:   B Fractions and Two Term Ratios
  666.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  667.    wt: 1:   22 Complex Compound Fractions
  668.    wt: 1:   21 Reciprocals for Fractions and Wholes
  669.    wt: 1:   18 Efficient Ways to Multiply
  670.    wt: 1:   17 Efficient Ways to Add and Subtract
  671.    wt: 1:   16 Addition Subtraction Comparision Compared
  672.    wt: 1:   13 Fraction Comparison Algebraic View
  673.    wt: 1:   12 Fraction Comparison
  674.    wt: 1:   11 Simplification an Algebraic View
  675.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  676.    wt: 1:   9 Improper Fractions and Mixed Numbers
  677.    wt: 1:   8 Numerals Fractionals Quantals Take II
  678.    wt: 1:   7 Numerals Fractionals Quantals
  679.    wt: 1:   5 Equivalent Fractions
  680.    wt: 1:   3 Unit fraction of a fraction
  681.    wt: 1:   1 What is a fraction Take II
  682.    wt: 1:   1 What is a fraction
  683.    wt: 1:   20 Uniqueness of Prime Factorization
  684.    wt: 1:   19 video Prime Factorization Unique
  685.    wt: 1:   18 video Count Factors given Prime Factorization
  686.    wt: 1:   14 video Factors of 24 Take II
  687.    wt: 1:   11 Efficient Square Rule Use
  688.    wt: 1:   10 video Prime Factorization upto 23 squared
  689.    wt: 1:   9 video Prime Factorization upto 19 squared
  690.    wt: 1:   8 video Prime Factorization upto 19
  691.    wt: 1:   7 Calculator Usage Notes and Cautions
  692.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  693.    wt: 1:   5 Prime Factorization and a Square Rule
  694.    wt: 1:   3 video Primes and Composites from 9 times table
  695.    wt: 1:   1 video how Products are bigger than factor
  696.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  697.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  698.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  699.    wt: 1:   Quick history of numbers and algebra
  700.    wt: 1:   Exact Arithmetic Wholes and Fractions
  701.    wt: 1:   Formula Evaluation how to show work
  702.    wt: 1:   Expression Evaluation how to show work
  703.    wt: 1:   The 20 Times Table
  704.    wt: 1:   The 12 Times Table Visually
  705.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  706.    wt: 1:   About folder contents
  707.    wt: 1:   016 Numbering Occidental Calendar Days
  708.    wt: 1:   015 School and work day counting tables
  709.    wt: 1:   014 Counting Days with Calendars
  710.    wt: 1:   011 Division of Time Intervals By Numbers
  711.    wt: 1:   010 Repeated Addition of Time Intervals
  712.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  713.    wt: 1:   7 Addition of Time Intervals
  714.    wt: 1:   2 Time and Date Matters in School
  715.    wt: 1:   1 Intro of Kids To Time Date Skills
  716.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  717.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  718.    wt: 1:   5 Area Under Curve Exercise
  719.    wt: 1:   4 Second derivative test exercise example
  720.    wt: 1:   3 Second derivative test
  721.    wt: 1:   2 Second derivative test prequel
  722.    wt: 1:   38 Formulas and derivatives for powers and roots
  723.    wt: 1:   36 Cube root derivative animated
  724.    wt: 1:   34 Derivative of exponential function
  725.    wt: 1:   12 Quotient rule examples
  726.    wt: 1:   11 Quotient rule
  727.    wt: 1:   9 Reciprocal rule
  728.    wt: 1:   8 Differentiation of polynomials
  729.    wt: 1:   7 Animated Differentiation Examples
  730.    wt: 1:   6 Power rule from product rule
  731.    wt: 1:   5 Product Rule
  732.    wt: 1:   4 Sum Rule
  733.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  734.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  735.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  736.    wt: 1:   8 Four Animated Examples
  737.    wt: 1:   7 Evaluation by immediate or delayed substitution
  738.    wt: 1:   5 Jumps and absence of unlimited error control
  739.    wt: 1:   4 Numerical properties
  740.    wt: 1:   2 Algebraic codification
  741.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  742.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  743.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  744.    wt: 1:   F.5a Equicontinuity Theorems
  745.    wt: 1:   F.3 Intermediate Value Theorem
  746.    wt: 1:   F.1 What Functions are Continuous
  747.    wt: 1:   E1 Error Control Inequalities
  748.    wt: 1:   C Triangle Inequalities
  749.    wt: 1:   PostScript For and Against Decimal Perspectives
  750.    wt: 1:   A1. Introduction
  751.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  752.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  753.    wt: 1:   Chapter 22 Complex Numbers
  754.    wt: 1:   Chapter 21 Arrow Addition
  755.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  756.    wt: 1:   Chapter 17. Area Approximation
  757.    wt: 1:   Chapter 16. Velocity Approximation
  758.    wt: 1:   Chapter 15. Slope Approximation
  759.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  760.    wt: 1:   Chapter 13. Acceleration
  761.    wt: 1:   Chapter 12. Units and Slopes
  762.    wt: 1:   Chapter 10 Slopes and Units
  763.    wt: 1:   Chapter 7 Slopes and Velocity
  764.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  765.    wt: 1:   Chapter 5. Slope Sign Tests
  766.    wt: 1:   Chapter 4. More Slope Sign Analysis
  767.    wt: 1:   Chapter 3. Slope Sign Analysis
  768.    wt: 1:   Chapter 2. Slopes and Ski Trails
  769.    wt: 1:   Fall 1983 Calculus Appetizer
  770.    wt: 1:   Foreword
  771.    wt: 1:   Appendix D. What to do in School and Why
  772.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  773.    wt: 1:   Chapter 31 Direct and Indirect Reason
  774.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  775.    wt: 1:   Chapter 25. Mathematical Induction Examples
  776.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  777.    wt: 1:   Chapter 21. Third Reading Guide
  778.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  779.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  780.    wt: 1:   Chapter 13. Second Reading Guide
  781.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  782.    wt: 1:   Chapter 4 Longer Chains of Reason
  783.    wt: 1:   Chapter 3 Chains of Reason
  784.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  785.    wt: 1:   Annotated Links to Material Elsehwere
  786.    wt: 1:   Chapter 11 Elementary Instruction
  787.    wt: 1:   Chapter 8 Modern Instruction
  788.    wt: 1:   Chapter 7 Two Treatments of Geometry
  789.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  790.    wt: 1:   Chapter 2 For and Against Mathematics
  791.    wt: 1:   Chapter 1 Introduction
  792.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  793.    wt: 1:   Postscript B More on Story Telling and Reason
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 24 Direct and Indirect Reason
  796.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  797.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  798.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  799.    wt: 1:   Chapter 7 Longer Chains of Reason
  800.    wt: 1:   Chapter 6 Chains of Reason
  801.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  802.    wt: 1:   Chapter 1 Introduction
  803.    wt: 1:   S Adding words to algebra
  804.    wt: 1:   O On Learning Mathematics and Science
  805.    wt: 1:   J. More on written work and showing skill
  806.    wt: 1:   H Jigsaw puzzles and problem solving
  807.    wt: 1:   B. Domino effect of errors
  808.    wt: 1:   Chapter 6 More Algebra and Geometry
  809.    wt: 1:   7 Games and Activities for Instruction
  810.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  811.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  812.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  813.    wt: 14:   Euclidean Geometry Elsewhere LINKS
  814.    wt: 13:   PS H Distributive Law For Complex Numbers
  815.    wt: 13:   PS F Scalar Multiplication Distributes over Addition
  816.    wt: 13:   PS E Multiplication with Polar Coordinates
  817.    wt: 13:   PS C Similarity Use Recognize it in Trigonometry
  818.    wt: 13:   10 Dropping a perpendicular to line
  819.    wt: 13:   Short Course on Euclidean Geometry
  820.    wt: 12:   PS D Addition with Cartesian Coordinates
  821.    wt: 12:   14 Parallel Lines Postulate
  822.    wt: 12:   2 Correspondence between Triangles
  823.    wt: 12:   1 Initial Concepts and Terms
  824.    wt: 11:   Straight Lines Instersection Solving Equations
  825.    wt: 11:   PS G Rotation Distributes over Addition
  826.    wt: 11:   PS B Parallelogram Construction Methods
  827.    wt: 11:   PS A Kite Construction Methods
  828.    wt: 11:   21 Parallelograms
  829.    wt: 11:   19 Right Triangle Similarity
  830.    wt: 11:   18 Triangle Similarity Take 1
  831.    wt: 11:   17 Right Bisectors of Triangle Sides
  832.    wt: 11:   16 Angles Subtended By Chords and Diameters
  833.    wt: 11:   15 Triangle Angle Sum is 180 degrees
  834.    wt: 11:   13 Angle Side Angle Failure
  835.    wt: 11:   12 Side Angle Side Failure
  836.    wt: 11:   11 Triangle Construction Fails
  837.    wt: 11:   9 Construction of a right bisector
  838.    wt: 11:   8 Isoceles Triangles
  839.    wt: 11:   7 Angle Side Angle
  840.    wt: 11:   6 Ruler and compass Angle Bisection
  841.    wt: 11:   5 Side Angle Side
  842.    wt: 11:   4 Side Side Side
  843.    wt: 11:   3 Isometry of Triangles Congruence
  844.    wt: 10:   7 arcsin left inverse of sine Definition
  845.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  846.    wt: 10:   Straight Lines ASA Intersection Study More
  847.    wt: 10:   Straight Lines ASA Intersection Study
  848.    wt: 10:   Straight Lines Intersection of
  849.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  850.    wt: 10:   6 Intersection of lines by solving linear systems

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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