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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61 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 4:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 4:   A Origins of Counting and Figuring Methods/
  4.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 4:   A Decimal Counting and Adding Methods/
  6.    wt: 3:   12 Function Translating and Rescaling/
  7.    wt: 3:   Step 4 Gaussian Elimination/
  8.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  9.    wt: 3:   Step 1 Stick diagram and fractions/
  10.    wt: 3:   9 Combinatorics Trees Tables and Products/
  11.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 2:   11 Parallel Straight Lines and Transversals/
  13.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  14.    wt: 2:   4 Lines and Slopes Take 1/
  15.    wt: 2:   3 Cartesian and Polar Coordinates/
  16.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  18.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 2:   3 Solving Linear Equations/
  20.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  21.    wt: 2:   11 Squares and Square Roots/
  22.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 2:   7 Arithmetic and Fractions with Units/
  24.    wt: 2:   6 Fractions and Ratios/
  25.    wt: 2:   5 Integers/
  26.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  27.    wt: 2:   13 Lessons on Limits and Continuity/
  28.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  29.    wt: 2:   Resources and Reciprocal Links/
  30.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 1:   LAMP Lean Applied Mathematics Program/
  32.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  33.    wt: 1:   Mathematics Education Essays/
  34.    wt: 1:   Volume 1A Regles et modeles/
  35.    wt: 1:   Mathematics Skills Year by Year/
  36.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  37.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  38.    wt: 1:   B Real Numbers Extrinsic Development/
  39.    wt: 1:   10 Examples of Algebraic Reasoning/
  40.    wt: 1:   9 Proportionality Backwards and Forwards/
  41.    wt: 1:   8 Unifying Theme For Algebra/
  42.    wt: 1:   4 Computation Rules and Function Notation/
  43.    wt: 1:   1 Working With Sets/
  44.    wt: 1:   8 Arithmetic with Signed Numbers/
  45.    wt: 1:   3 Prime Factorization Skills/
  46.    wt: 1:   D Decimal Long Division Methods/
  47.    wt: 1:   C Decimal Multiplication Methods/
  48.    wt: 1:   2 Arithmetic with Decimals/
  49.    wt: 1:   1 Decimal Place Value/
  50.    wt: 1:   Arithmetic and Number Theory Skills/
  51.    wt: 1:   5 Lessons on Integration/
  52.    wt: 1:   4 Lessons on Using Derivatives/
  53.    wt: 1:   38 Lessons on Calculating Derivatives/
  54.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  55.    wt: 1:   Volume 2 Three Skills For Algebra/
  56.    wt: 1:   Volume 1A Pattern Based Reason/
  57.    wt: 1:   Volume 1 Elements of Reason/
  58.    wt: 1:   Work and Study Tips/
  59.    wt: 1:   Mathematics 506 Lessons/
  60.    wt: 1:   Secondary Mathematics A Practical Approach/
  61.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

668 matches:

  1.    wt: 6:   Helping the Blind in Logic and Mathematics
  2.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  3.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  4.    wt: 5:   4 Money Matters Saving Earning Buying Selling and Budgets
  5.    wt: 4:   Different Kinds of Reasoning in maths
  6.    wt: 4:   fairness and inductive principles for instruction
  7.    wt: 4:   16 Increasing or decreasing on intervals
  8.    wt: 4:   7 arcsin left inverse of sine Definition
  9.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  10.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  11.    wt: 4:   14 cosine even and sine and tangent are odd
  12.    wt: 4:   6 Intersection of lines by solving linear systems
  13.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  14.    wt: 4:   14 Adding and Subtracting with Like Denominators
  15.    wt: 4:   6. Counting and adding units and mixed units
  16.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  17.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  18.    wt: 4:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  19.    wt: 3:   J LAMP Introduction Extrinsic Origins
  20.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  21.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  22.    wt: 3:   7 logic review and decimals an odd combination
  23.    wt: 3:   mathematics instruction in general
  24.    wt: 3:   Education in mathematics science and technology
  25.    wt: 3:   three kinds of reason in mathematics
  26.    wt: 3:   Home Tutoring and Home Schooling
  27.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  28.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  29.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  30.    wt: 3:   2 Reading and Writing Skills
  31.    wt: 3:   26 Function definitions done and coming
  32.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  33.    wt: 3:   20 Interchanging coordinates a reflection
  34.    wt: 3:   4 Function notation in and beyond mathematics
  35.    wt: 3:   16 cotangent function Definition Graph and Inverse
  36.    wt: 3:   15 cosecant function Definition Graph and Inverse
  37.    wt: 3:   14 secant function Definition Graph and Inverse
  38.    wt: 3:   13 cosecant function Definition Graph and Inverse
  39.    wt: 3:   8 arcsin left inverse of sine Graph
  40.    wt: 3:   3 Left Inverse of cosine arccos definition
  41.    wt: 3:   Parallel Lines and Interior Angles
  42.    wt: 3:   Straight Lines Instersection Solving Equations
  43.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  44.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  45.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  46.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  47.    wt: 3:   28 Expressing products of sines cosines as sums
  48.    wt: 3:   27 Logarithmic use of products of sines and cosines
  49.    wt: 3:   26 Formulas for products of sines and cosines
  50.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  51.    wt: 3:   21 sine and cosine Half Angle Formulas
  52.    wt: 3:   20 sine and cosine Double Angle Formulas
  53.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  54.    wt: 3:   17D cis formulas for sine cosines and tangent
  55.    wt: 3:   17C sine and cosine double triple angle formulas
  56.    wt: 3:   10 Graphs of sines and cosines many periods
  57.    wt: 3:   9 Graphs of sine and cosine over one period
  58.    wt: 3:   7 period of sine and cosine
  59.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  60.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  61.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  62.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  63.    wt: 3:   12 cis formulas for sine cosines and tangent
  64.    wt: 3:   11 sine and cosine double triple angle formulas
  65.    wt: 3:   3 Trigonometric Ratios sine and cosine
  66.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  67.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  68.    wt: 3:   2 Combing Counts Addition Skills and Principles
  69.    wt: 3:   1 Written work formats for developing and showing skill
  70.    wt: 3:   1 Counting and Counting Methods I
  71.    wt: 3:   11 Adding Integers Formulas and Examples
  72.    wt: 3:   7 Adding decimal fractions using decimal point
  73.    wt: 3:   4 Mixing and Changing Units of Time
  74.    wt: 3:   2 Indefinite Integrals Exercises
  75.    wt: 3:   1 Chain Rule in Reverse Integration Method
  76.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  77.    wt: 3:   26 Chain Rule Recognising outer inner functions
  78.    wt: 3:   17 Derivatives of quotients of sine and cosine
  79.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  80.    wt: 3:   15 sine and cosine derivatives 3rd step
  81.    wt: 3:   14 sine and cosine derivatives 2nd step
  82.    wt: 3:   13 sine and cosine derivatives 1st step
  83.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  84.    wt: 3:   Chapter 10 Describing and Changing Calculations
  85.    wt: 3:   Chapter 2 For and Against Mathematics
  86.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  87.    wt: 3:   O On Learning Mathematics and Science
  88.    wt: 3:   N Improving Marks on Tests and Finals
  89.    wt: 3:   H more Routine to non routine problem solving
  90.    wt: 3:   G. Written work formats for developing and showing skill
  91.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  92.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  93.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  94.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  95.    wt: 2:   H LAMP Introduction Instructional Concepts
  96.    wt: 2:   G LAMP Introduction Problem Solving Skills
  97.    wt: 2:   E LAMP Introduction Modern Mathematics
  98.    wt: 2:   Ramblings Extrinsic numbers theory
  99.    wt: 2:   Ramblings Introduction Algebra Essay
  100.    wt: 2:   links Education Resources online
  101.    wt: 2:   key notes and themes
  102.    wt: 2:   grouping students according to ability
  103.    wt: 2:   mathematics in context
  104.    wt: 2:   mathematics curriculum shifts
  105.    wt: 2:   teaching tutoring algebraic reason
  106.    wt: 2:   04 29 New Mathematics Curriculum
  107.    wt: 2:   cultivating intelligence
  108.    wt: 2:   need for a mixed mathematics curriculum
  109.    wt: 2:   Leaner mathematics curriculum
  110.    wt: 2:   Prequel In For A Penny In For A Pound
  111.    wt: 2:   words for mathematics instructor
  112.    wt: 2:   chapitre 07 01 principle D induction mathematique
  113.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  114.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  115.    wt: 2:   12 Goals and Objectives For Mathematics
  116.    wt: 2:   4 Learning Takes Time and Effort
  117.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  118.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  119.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  120.    wt: 2:   19 Horizontal line rule and method
  121.    wt: 2:   18 Vertical Line Rule and Method
  122.    wt: 2:   17 Function maxima minima and their location
  123.    wt: 2:   11 Function Domain Range Source and Targets
  124.    wt: 2:   7 Functions with finite domains
  125.    wt: 2:   Introduction Reading Guide
  126.    wt: 2:   3 quadratics factoring by inspection
  127.    wt: 2:   2 quadratics graphing in general
  128.    wt: 2:   11 Growth and Decay in Biology
  129.    wt: 2:   8 Notes for instructors or tutors
  130.    wt: 2:   10 arctan left inverse of tangent Definition
  131.    wt: 2:   5 Swapping Coordinates is a reflection
  132.    wt: 2:   1 Degrees and Radians Introduction
  133.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  134.    wt: 2:   4 graphing y=Asin(x c)
  135.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  136.    wt: 2:   Parallel Lines and Parallel Transversals
  137.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  138.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  139.    wt: 2:   Straight Lines ASA Intersection Study More
  140.    wt: 2:   Straight Lines ASA Intersection Study
  141.    wt: 2:   Straight Lines Intersection of
  142.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  143.    wt: 2:   C Straight Lines Slope from Coordinates
  144.    wt: 2:   B Straight Line Slope Scaling Properties More
  145.    wt: 2:   A Straight Line Slope Scaling Properties
  146.    wt: 2:   12 Straight Lines Graphing mx plus b
  147.    wt: 2:   11 Straight Lines Graphing y=mx
  148.    wt: 2:   10 Straight Lines through Origin Equations More
  149.    wt: 2:   9 Straight Lines through Origin Equations
  150.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  151.    wt: 2:   18 sum of sinusoidal waves as a single wave
  152.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  153.    wt: 2:   15 sine cosine Complementary Angle Relations
  154.    wt: 2:   11 tangent function undefined when terminal side vertical
  155.    wt: 2:   16 References and Originality Question
  156.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  157.    wt: 2:   4 Similarity Definition with Coordinate
  158.    wt: 2:   10 Midpoint of [a b] and [b a]
  159.    wt: 2:   2 point slope equation for a line
  160.    wt: 2:   1 Numerical view of lines and their equations
  161.    wt: 2:   8 Distance Between Points on a Line
  162.    wt: 2:   4 Polar Coordinates to and from
  163.    wt: 2:   10 Dropping a perpendicular to line
  164.    wt: 2:   1 Initial Concepts and Terms
  165.    wt: 2:   3 Lengths and Areas on Maps and Plans
  166.    wt: 2:   A Modular and Remainder Arithmetic
  167.    wt: 2:   13 Arrows and Vectors in a Plane
  168.    wt: 2:   12 Real Numbers Line Signed Coordinates
  169.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  170.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  171.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  172.    wt: 2:   4 Location of Point in Decimal Addition
  173.    wt: 2:   3 Location of Point in Decimal Multiplication
  174.    wt: 2:   2 Counting Digits in Decimal Multiplication
  175.    wt: 2:   3 Multiplicative Counting Skills Principles
  176.    wt: 2:   1 The Counting Origins of Numbers
  177.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  178.    wt: 2:   6 Compound Interest Forward and Backwards
  179.    wt: 2:   2 More and Less Than for Counts and Measures
  180.    wt: 2:   9 Coordinates for Regions in Space
  181.    wt: 2:   8 Coordinates for Maps and Planes
  182.    wt: 2:   7 Real Numbers as Line Cordinates
  183.    wt: 2:   13 Naming Identifying Formulas with Words
  184.    wt: 2:   7 Compound Interest Formula Introduction
  185.    wt: 2:   9 Sets in Probability and Statistics
  186.    wt: 2:   5 Talking about Numbers and Quantities
  187.    wt: 2:   1 More and Less Than for Counts and Measures
  188.    wt: 2:   1 Squares and Square Roots Introduction
  189.    wt: 2:   3 Counting with Tables and Trees II
  190.    wt: 2:   2 Counting with Tables and Trees I
  191.    wt: 2:   7 negative and additive inverse
  192.    wt: 2:   4 signed coordinates for regions in space
  193.    wt: 2:   3 signed coordinates for maps and planes
  194.    wt: 2:   2 signed and unsigned numbers as coordinates
  195.    wt: 2:   7 Converting or Changing Units
  196.    wt: 2:   3 Multiplying Units and Numbers
  197.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  198.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  199.    wt: 2:   12 Adding Integers More Examples
  200.    wt: 2:   9 Multiplying Integers
  201.    wt: 2:   5 Zero Movement and Additive Inverses
  202.    wt: 2:   1 Integers as Coordinates
  203.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  204.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  205.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  206.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  207.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  208.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  209.    wt: 2:   17 Identify and Count Factors using Primes
  210.    wt: 2:   12 LCD GCD and LCM using Primes
  211.    wt: 2:   7 Calculator Usage Notes and Cautions
  212.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  213.    wt: 2:   1. Explaining Addition Table
  214.    wt: 2:   11 Place Value SI Standard International way
  215.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  216.    wt: 2:   015 School and work day counting tables
  217.    wt: 2:   012 Division of Time Intervals by Time Intervals
  218.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  219.    wt: 2:   8 Addition of Time Intervals via subtotaling
  220.    wt: 2:   2 Time and Date Matters in School
  221.    wt: 2:   A Related Material in Volume 3
  222.    wt: 2:   4 Definite Integrals Evaluation Exercises
  223.    wt: 2:   A Related lessons in Volume 3
  224.    wt: 2:   38 Formulas and derivatives for powers and roots
  225.    wt: 2:   29 Chain Rule Optional Reading
  226.    wt: 2:   25 Chain Rule Animated Examples Continued
  227.    wt: 2:   23 Chain Rule in general
  228.    wt: 2:   19 Chain Rule for linear functions
  229.    wt: 2:   18 Chain Rule Introduction
  230.    wt: 2:   11 Limits at infinity Three Examples
  231.    wt: 2:   10 Three one sided limits with infinite values
  232.    wt: 2:   9 Limits Continuity and Composition
  233.    wt: 2:   6 Continuity at a point
  234.    wt: 2:   3 Decimal insights for limits continuity convergence
  235.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  236.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  237.    wt: 2:   F.4 Finite Covering Theorem
  238.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  239.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  240.    wt: 2:   PostScript For and Against Decimal Perspectives
  241.    wt: 2:   Appendix E. How To Study Mathematics and Why
  242.    wt: 2:   Appendix D. What to do in School and Why
  243.    wt: 2:   Chapter 31 Direct and Indirect Reason
  244.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  245.    wt: 2:   Chapter 16. Painless Theorem Proving
  246.    wt: 2:   Chapter 15. Solving Linear Equations
  247.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  248.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  249.    wt: 2:   Postscript B More on Story Telling and Reason
  250.    wt: 2:   Chapter 24 Direct and Indirect Reason
  251.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  252.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  253.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  254.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  255.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  256.    wt: 2:   J. More on written work and showing skill
  257.    wt: 2:   I. Logic and language skills
  258.    wt: 2:   H Jigsaw puzzles and problem solving
  259.    wt: 2:   C. Domino effect of being careful
  260.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  261.    wt: 2:   7 Games and Activities for Instruction
  262.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  263.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  264.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  265.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  266.    wt: 2:   Systematic Algebra Skill Development Missing Links
  267.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  268.    wt: 1:   Appendix 1 primary and preschool mathematic
  269.    wt: 1:   K LAMP Musings Science Education
  270.    wt: 1:   I LAMP Introduction Study Habits
  271.    wt: 1:   F LAMP Introduction Prerequisites
  272.    wt: 1:   A Introduction Objectives
  273.    wt: 1:   Skills Chapter 4 Logic
  274.    wt: 1:   Skills Chapter 0 Introduction
  275.    wt: 1:   11 pure mathematics
  276.    wt: 1:   9 combinatorics probability sets
  277.    wt: 1:   5 logarithms and exponentials etc
  278.    wt: 1:   Applied Maths Program14092009 POMME variant
  279.    wt: 1:   site origins
  280.    wt: 1:   Mathematics Education Professors
  281.    wt: 1:   learning takes time
  282.    wt: 1:   what should be learnt and When
  283.    wt: 1:   Education Reform Inconsistencies
  284.    wt: 1:   Maps Plans Drawings
  285.    wt: 1:   Secondary Three Mathematics
  286.    wt: 1:   Secondary Two Mathematics
  287.    wt: 1:   Secondary One Mathematics
  288.    wt: 1:   teaching tips
  289.    wt: 1:   Lessening Algebra Difficulties
  290.    wt: 1:   three goals for Mathematics Education
  291.    wt: 1:   02 20 mathematics education references
  292.    wt: 1:   three aims for mathematics students
  293.    wt: 1:   standards for course material
  294.    wt: 1:   Operational Viewpoint to Value
  295.    wt: 1:   formal or informal peer review
  296.    wt: 1:   How to be a better instructor
  297.    wt: 1:   Motivation and Context Problem
  298.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  299.    wt: 1:   chapitre 06 00 Chaines de la raison
  300.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  301.    wt: 1:   chapitre 01 00 Introduction
  302.    wt: 1:   deux definitions pour variable
  303.    wt: 1:   3 Like resistors in parallel
  304.    wt: 1:   2 Unlike resistors in parallel01
  305.    wt: 1:   1 Like resistors in series
  306.    wt: 1:   F Unlike Resistors in Series
  307.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  308.    wt: 1:   24 Standards For Skill Develoment Take II
  309.    wt: 1:   24 Standards For Skill Develoment
  310.    wt: 1:   22 Student Centered Highschool Mathematics
  311.    wt: 1:   18 Primary School Mathematics
  312.    wt: 1:   17 Math Booklets for children and young teenagers
  313.    wt: 1:   16 Secondary Mathematics Tips
  314.    wt: 1:   15 Counting For Parents
  315.    wt: 1:   14 Multiplication and Times Tables
  316.    wt: 1:   13 Addition and Addition Tables
  317.    wt: 1:   11 Help and Defend Your Child or Teens Education
  318.    wt: 1:   10 Ends values for work study instruction
  319.    wt: 1:   9 Streaming by Student Cooperation
  320.    wt: 1:   5 Patience Please for Yourself and Your Charges
  321.    wt: 1:   3 Preparing for Science Studies
  322.    wt: 1:   1 Speaking Skills
  323.    wt: 1:   23 Inverse Functions
  324.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  325.    wt: 1:   14 Surjections Injections Bijections
  326.    wt: 1:   12 Function Domain Recognition Exercises
  327.    wt: 1:   10 Interval Notation
  328.    wt: 1:   9 Set theory term relation possible origins
  329.    wt: 1:   8 Set view of relations and functions
  330.    wt: 1:   6 Set Existence Formation and Notation
  331.    wt: 1:   3 Formula or function graphing exercise
  332.    wt: 1:   1 Geometric Introduction of Function Notation
  333.    wt: 1:   9 quadratics physical and further context
  334.    wt: 1:   5 quadratics completing the square
  335.    wt: 1:   1 quadratics graphing exercises
  336.    wt: 1:   Quadratics in 10 steps
  337.    wt: 1:   10 Exponential Growth and Decay Models
  338.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  339.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  340.    wt: 1:   7 Links Lessons Elsewhere
  341.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  342.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  343.    wt: 1:   4 Polynomials Long division linear divisor
  344.    wt: 1:   Rewriting algebraic substitution as function substitutions
  345.    wt: 1:   11 arctan left inverse of tangent Graph
  346.    wt: 1:   9 motivation for name arcsin
  347.    wt: 1:   2 cosine function more properties
  348.    wt: 1:   1 cosine function properties
  349.    wt: 1:   9 Summary Degrees to Radians and back
  350.    wt: 1:   7 Radian Measures in special Triangles
  351.    wt: 1:   A Global Time and Navigation
  352.    wt: 1:   15 Dot and Cross Product
  353.    wt: 1:   13 Velocity Vectors in Physics
  354.    wt: 1:   12 From Applied To Pure Mathematics
  355.    wt: 1:   9 Head to Tail Coordinate View
  356.    wt: 1:   6 Vectors with Coordinates
  357.    wt: 1:   2 Signed Coordinates
  358.    wt: 1:   1 Unsigned Coordinates
  359.    wt: 1:   Vector and Complex Number Applet
  360.    wt: 1:   3 graphing y=f(x c) plus K
  361.    wt: 1:   1 graphing y=f(x a)
  362.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  363.    wt: 1:   14 Straight Lines Equations General Case
  364.    wt: 1:   8 Straight Lines Equation for vertical
  365.    wt: 1:   7 Tangent Function is odd on this domain
  366.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  367.    wt: 1:   1 Straight Lines Slope Concept
  368.    wt: 1:   29 secant cosecant and cotangent for acute angles
  369.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  370.    wt: 1:   17F Law of cosines
  371.    wt: 1:   17E Trig Formulas for dot and cross Products
  372.    wt: 1:   1 Unit Points Reflections Rotations
  373.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  374.    wt: 1:   21 Logarithms Powers and Exponentials
  375.    wt: 1:   14 Law of cosines
  376.    wt: 1:   13 Trig Formulas for dot and cross Products
  377.    wt: 1:   1 Rectangular Polar Coordinates Review
  378.    wt: 1:   8 Triangles Cascade Problem Solving
  379.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  380.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  381.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  382.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  383.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  384.    wt: 1:   11 Triangle Similarity Missing Side Problem
  385.    wt: 1:   8 Similarity of Triangles and Polygons
  386.    wt: 1:   6 Geometric Diagrams in Class
  387.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  388.    wt: 1:   3 Similarity by Design with coordinates
  389.    wt: 1:   12 Links Lessons elsewhere
  390.    wt: 1:   8 Mid Point Formula
  391.    wt: 1:   7 Exercises to test skill and concept mastery
  392.    wt: 1:   4 Equations for lines three forms
  393.    wt: 1:   3 Slope product for perpendicular lines
  394.    wt: 1:   What is and is not here
  395.    wt: 1:   12 Spatial Coordinates
  396.    wt: 1:   11 Triangle Inequality
  397.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  398.    wt: 1:   6 Polar Multiplication and Rotation
  399.    wt: 1:   5 Cartesian Addition and Translation
  400.    wt: 1:   3 Rectangular Coordinates Review
  401.    wt: 1:   2 Cartesian Coordinates with signs
  402.    wt: 1:   1 Cartesian Coordinates sans signs
  403.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  404.    wt: 1:   PS E Multiplication with Polar Coordinates
  405.    wt: 1:   PS D Addition with Cartesian Coordinates
  406.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  407.    wt: 1:   16 Angles Subtended By Chords and Diameters
  408.    wt: 1:   14 Parallel Lines Postulate
  409.    wt: 1:   6 Ruler and compass Angle Bisection
  410.    wt: 1:   6 Figuring with Maps Not to Scale
  411.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  412.    wt: 1:   2 Measuring Area Directly
  413.    wt: 1:   musings do not puiblish real numbers
  414.    wt: 1:   21 Addition of Multiples of a Single Vector
  415.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  416.    wt: 1:   15 Head to Tails in place Addition Associative
  417.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  418.    wt: 1:   11 Signed Number Addition and Addition Properties
  419.    wt: 1:   9 Division with Digits after Decimal Point
  420.    wt: 1:   8 Division and Mulplication of Compound Fractions
  421.    wt: 1:   1 Fractions with Finite Decimal Expansions
  422.    wt: 1:   B Decimal Comparison and Subtraction
  423.    wt: 1:   8 Column Multiplication Methods in General
  424.    wt: 1:   4 Commutative Law Groups Counting Form
  425.    wt: 1:   3 Inequalities Algebraically
  426.    wt: 1:   5 Proportionality in Equivalent Fractions
  427.    wt: 1:   4 Rates Ratios and Proporitionality
  428.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  429.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  430.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  431.    wt: 1:   3 Linear Equation Literal Solution More
  432.    wt: 1:   2 Linear Equation Literal Solution
  433.    wt: 1:   1 Changing Calculations
  434.    wt: 1:   6 Equations and Systems Equivalent or Implied
  435.    wt: 1:   5 Equality in Algebra
  436.    wt: 1:   4 Subtraction and Division Axioms
  437.    wt: 1:   2 Addition and Multiplication Axioms
  438.    wt: 1:   5 Greater More Less Than Signs in General
  439.    wt: 1:   3 More and Less Than with Unlike Signs
  440.    wt: 1:   12 Real Number Additive Inverses or Negatives
  441.    wt: 1:   10 Real Number Lengths and Signs
  442.    wt: 1:   2 Integers
  443.    wt: 1:   1 Whole and Natural Numbers
  444.    wt: 1:   5 Independent versus Dependent Variables
  445.    wt: 1:   4 Changing Letters
  446.    wt: 1:   3 Geometric Formulas and Function Notation
  447.    wt: 1:   1 Formulas Dependence and Function Notation
  448.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  449.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  450.    wt: 1:   3 GE III Equation Addition and Multiplication
  451.    wt: 1:   4 Solving a triangular system exercise
  452.    wt: 1:   3 Solving triangular system example
  453.    wt: 1:   5 Algebraic Solutions Introduction
  454.    wt: 1:   Skill Development Notes
  455.    wt: 1:   Using Letters for Physical Quantities
  456.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  457.    wt: 1:   11 Volume of Sphere
  458.    wt: 1:   10 Volume of Pyramid
  459.    wt: 1:   9 Volume of Cone
  460.    wt: 1:   8 Compound Interest Formula Evaluation
  461.    wt: 1:   5 Box Volume Formula Example
  462.    wt: 1:   3 Counting with Sets etc
  463.    wt: 1:   1 Finite Sets
  464.    wt: 1:   4 A Brief Story of numbers and algebra
  465.    wt: 1:   3 Adding Words To Arithmetic
  466.    wt: 1:   4 Greater More Less Than Signs in General
  467.    wt: 1:   2 More and Less Than with Unlike Signs
  468.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  469.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  470.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  471.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  472.    wt: 1:   7 GCD and LCM from prime factorization
  473.    wt: 1:   4 LCM of 8 and 10 via Prime
  474.    wt: 1:   2 Least Common Multiple LCM intro via list method
  475.    wt: 1:   1 Least Common Multiples LCM Introduction
  476.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  477.    wt: 1:   4 Counting with Trees Product Rule Take I
  478.    wt: 1:   11 What are real lengths and numbers
  479.    wt: 1:   10 dividing signed numbers
  480.    wt: 1:   9 subtracting signed numbers
  481.    wt: 1:   8 multiplying signed numbers
  482.    wt: 1:   6 adding signed numbers
  483.    wt: 1:   5 lengths and signs of numbers
  484.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  485.    wt: 1:   2 Equality and Units
  486.    wt: 1:   1 Addition and Subtraction with Units
  487.    wt: 1:   B Fractions and Two Term Ratios
  488.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  489.    wt: 1:   21 Working With Signs
  490.    wt: 1:   21 Reciprocals for Fractions and Wholes
  491.    wt: 1:   20 Dividing Fractions the Why
  492.    wt: 1:   19 Dividing Fractions How TO
  493.    wt: 1:   17 Efficient Ways to Add and Subtract
  494.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  495.    wt: 1:   9 Improper Fractions and Mixed Numbers
  496.    wt: 1:   D Remainders Modulo 11 Pair Rule
  497.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  498.    wt: 1:   B Integer Long Division Multiple Choices
  499.    wt: 1:   13 Subtraction with Additive Inverse
  500.    wt: 1:   10 Integer Multiplication Formulas
  501.    wt: 1:   8 Multiplication by Signed Numbers Integers
  502.    wt: 1:   4 Adding Movements wiht opposite directions
  503.    wt: 1:   3 Adding Movements with same direction
  504.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  505.    wt: 1:   23 Remainder Arithmetic Modulo 2
  506.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  507.    wt: 1:   21 Remainder Arithmetic Modulo 3
  508.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  509.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  510.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  511.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  512.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  513.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  514.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  515.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  516.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  517.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  518.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  519.    wt: 1:   5 Remainder Arithmetic Modulo 5
  520.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  521.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  522.    wt: 1:   1 Remainder Arithmetic Modulo 10
  523.    wt: 1:   16 video Factors of 980 using prime
  524.    wt: 1:   15 video Factors of 20 using Prime Factorization
  525.    wt: 1:   13 video Factors of 24 using prime
  526.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  527.    wt: 1:   5 Prime Factorization and a Square Rule
  528.    wt: 1:   4 video Prime Factorization Introduction
  529.    wt: 1:   3 video Primes and Composites from 9 times table
  530.    wt: 1:   2 Prime and Composites less than 16
  531.    wt: 1:   Division with Counts and Length
  532.    wt: 1:   Long Division forwards and backwards Example 3
  533.    wt: 1:   Long Division forwards and backwards Example 2
  534.    wt: 1:   Long Division forwards and backwards Example 1
  535.    wt: 1:   11 Another Single Digit Divisor Example
  536.    wt: 1:   10 Division by Five Long and Short Ways
  537.    wt: 1:   8 Correcting the Mistake
  538.    wt: 1:   7 Long Divison Mistake Catching
  539.    wt: 1:   5 Long Division Include Zeroes or not
  540.    wt: 1:   3 Division Single Digit Divisor Example
  541.    wt: 1:   2 Division with Single Digit Divisors
  542.    wt: 1:   C Counting Areas with Powers of Ten
  543.    wt: 1:   4 Two and Three Digit Multipliers
  544.    wt: 1:   Video Power Notation in Decimal Expansion
  545.    wt: 1:   9 22 Minute Subtraction Review Video
  546.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  547.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  548.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  549.    wt: 1:   8 What skills and work habits to require
  550.    wt: 1:   2 Decimal Counting Practices
  551.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  552.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  553.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  554.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  555.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  556.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  557.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  558.    wt: 1:   Quick history of numbers and algebra
  559.    wt: 1:   Exact Arithmetic Wholes and Fractions
  560.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  561.    wt: 1:   016 Numbering Occidental Calendar Days
  562.    wt: 1:   014 Counting Days with Calendars
  563.    wt: 1:   011 Division of Time Intervals By Numbers
  564.    wt: 1:   010 Repeated Addition of Time Intervals
  565.    wt: 1:   7 Addition of Time Intervals
  566.    wt: 1:   3 Units and Lengths of Time
  567.    wt: 1:   1 Intro of Kids To Time Date Skills
  568.    wt: 1:   Example 2 volume of a cone
  569.    wt: 1:   Example 1 volume of a pyramid
  570.    wt: 1:   Volume of Solid by Cross Sections Lesson
  571.    wt: 1:   Example 1. Area Between x and x squared
  572.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  573.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  574.    wt: 1:   3 Two Chain Rule Method Exercises
  575.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  576.    wt: 1:   A Chain Rule Real Player video examples
  577.    wt: 1:   33 Chain Rule Real Player video examples
  578.    wt: 1:   31 Derivatives of inverse functions
  579.    wt: 1:   30Chain Rule A Proof
  580.    wt: 1:   28 Chain Rule Preparation for a Proof
  581.    wt: 1:   24 Chain Rule Animated Examples
  582.    wt: 1:   22 Chain Rule for polynomials
  583.    wt: 1:   21 Chain Rule for powers
  584.    wt: 1:   20 Chain Rule for Pulley Systems
  585.    wt: 1:   10 Power rule for negative integers
  586.    wt: 1:   3 Motivation for Limit Definition Take 2
  587.    wt: 1:   2 Motivation for Limit Definition Take 1
  588.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  589.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  590.    wt: 1:   5 Jumps and absence of unlimited error control
  591.    wt: 1:   1 Numerical introduction
  592.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  593.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  594.    wt: 1:   F.5a Equicontinuity Theorems
  595.    wt: 1:   F.3 Intermediate Value Theorem
  596.    wt: 1:   F.1 What Functions are Continuous
  597.    wt: 1:   E1 Error Control Inequalities
  598.    wt: 1:   C Triangle Inequalities
  599.    wt: 1:   A1. Introduction
  600.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  601.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  602.    wt: 1:   Chapter 23 Links To Trigonometry
  603.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  604.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  605.    wt: 1:   Chapter 18. Slopes Areas Integration
  606.    wt: 1:   Chapter 12. Units and Slopes
  607.    wt: 1:   Chapter 11. Graphing Slope versus Position
  608.    wt: 1:   Chapter 10 Slopes and Units
  609.    wt: 1:   Chapter 9 About First Courses in Calculus
  610.    wt: 1:   Chapter 8. Slope Interpretation
  611.    wt: 1:   Chapter 7 Slopes and Velocity
  612.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  613.    wt: 1:   Chapter 2. Slopes and Ski Trails
  614.    wt: 1:   Chapter 1.Introduction
  615.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  616.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  617.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  618.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  619.    wt: 1:   Chapter 25. Mathematical Induction Examples
  620.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  621.    wt: 1:   Chapter 21. Third Reading Guide
  622.    wt: 1:   Chapter 20. Degrees and Radians
  623.    wt: 1:   Chapter 19. Functions and Sets
  624.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  625.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  626.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  627.    wt: 1:   Chapter 13. Second Reading Guide
  628.    wt: 1:   Chapter 12. Shorthand Usage Guide
  629.    wt: 1:   Chapter 11. Why Shorthand
  630.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  631.    wt: 1:   Chapter 4 Longer Chains of Reason
  632.    wt: 1:   Chapter 3 Chains of Reason
  633.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  634.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  635.    wt: 1:   Annotated Links to Material Elsehwere
  636.    wt: 1:   Postscript B Mathematics Education References
  637.    wt: 1:   Chapter 11 Elementary Instruction
  638.    wt: 1:   Chapter 8 Modern Instruction
  639.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  640.    wt: 1:   Chapter 1 Introduction
  641.    wt: 1:   Postscript A Story Telling
  642.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  643.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  644.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  645.    wt: 1:   Chapter 18 Sense and Knowledge
  646.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  647.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  648.    wt: 1:   Chapter 7 Longer Chains of Reason
  649.    wt: 1:   Chapter 6 Chains of Reason
  650.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  651.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  652.    wt: 1:   Chapter 1 Introduction
  653.    wt: 1:   S Adding words to algebra
  654.    wt: 1:   R Why Learn Mathematics Skills
  655.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  656.    wt: 1:   N Mathematics Prepare for College Studies
  657.    wt: 1:   E. When and how to correct errors
  658.    wt: 1:   B. Domino effect of errors
  659.    wt: 1:   How to Build Skills and Confidence
  660.    wt: 1:   Chapter 8 Skipped Topics and Why
  661.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  662.    wt: 1:   Chapter 6 More Algebra and Geometry
  663.    wt: 1:   Mathematics Education References
  664.    wt: 1:   Mathematics Education References
  665.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  666.    wt: 1:   Implementation Notes
  667.    wt: 1:   More Algebra and Slope based Calculus Preview
  668.    wt: 1:   The Math Forum and Site Content

Extended Search

993 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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