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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76 matches:

  1.    wt: 8:   2 Natural Logarithms Exponentials Powers Roots/
  2.    wt: 6:   4 Computation Rules and Function Notation/
  3.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  4.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  5.    wt: 5:   Step 1 Stick diagram and fractions/
  6.    wt: 5:   5 Lessons on Integration/
  7.    wt: 5:   13 Lessons on Limits and Continuity/
  8.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 4:   12 Function Translating and Rescaling/
  10.    wt: 4:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 4:   5 What is Similarity/
  12.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
  13.    wt: 4:   10 Examples of Algebraic Reasoning/
  14.    wt: 4:   9 Proportionality Backwards and Forwards/
  15.    wt: 4:   8 Unifying Theme For Algebra/
  16.    wt: 4:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  18.    wt: 4:   Step 4 Gaussian Elimination/
  19.    wt: 4:   Mathematics 506 Lessons/
  20.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  21.    wt: 3:   4 Functions/
  22.    wt: 3:   1 Five Polynomial Operations/
  23.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  24.    wt: 3:   11 Parallel Straight Lines and Transversals/
  25.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 3:   8 Unit Circle Trigonometry/
  27.    wt: 3:   6 Trigonometry first steps/
  28.    wt: 3:   4 Lines and Slopes Take 1/
  29.    wt: 3:   3 Cartesian and Polar Coordinates/
  30.    wt: 3:   A Origins of Counting and Figuring Methods/
  31.    wt: 3:   5 Real Numbers/
  32.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  33.    wt: 3:   3 Solving Linear Equations/
  34.    wt: 3:   2 Formula Forward Use Evaluation/
  35.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  36.    wt: 3:   11 Squares and Square Roots/
  37.    wt: 3:   7 Arithmetic and Fractions with Units/
  38.    wt: 3:   6 Fractions and Ratios/
  39.    wt: 3:   5 Integers/
  40.    wt: 3:   D Decimal Long Division Methods/
  41.    wt: 3:   4 Lessons on Using Derivatives/
  42.    wt: 3:   38 Lessons on Calculating Derivatives/
  43.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  44.    wt: 2:   Mathematics Education Essays/
  45.    wt: 2:   3 Quadratics Geometrically/
  46.    wt: 2:   More Algebra/
  47.    wt: 2:   13 Vectors/
  48.    wt: 2:   7 Complex Numbers/
  49.    wt: 2:   1 Maps Plans Measurement/
  50.    wt: 2:   Geometry maps plans trigonometry vectors/
  51.    wt: 2:   B Real Numbers Extrinsic Development/
  52.    wt: 2:   1 Working With Sets/
  53.    wt: 2:   Algebra Starter Lessons/
  54.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  55.    wt: 2:   9 Combinatorics Trees Tables and Products/
  56.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  57.    wt: 2:   3 Prime Factorization Skills/
  58.    wt: 2:   C Decimal Multiplication Methods/
  59.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  60.    wt: 2:   A Decimal Counting and Adding Methods/
  61.    wt: 2:   Secondary Mathematics A Practical Approach/
  62.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  63.    wt: 1:   LAMP Lean Applied Mathematics Program/
  64.    wt: 1:   Mathematics Skills Year by Year/
  65.    wt: 1:   8 Arithmetic with Signed Numbers/
  66.    wt: 1:   2 Arithmetic with Decimals/
  67.    wt: 1:   1 Decimal Place Value/
  68.    wt: 1:   Arithmetic and Number Theory Skills/
  69.    wt: 1:   70 Calculus Starter Lessons/
  70.    wt: 1:   Volume 2 Three Skills For Algebra/
  71.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  72.    wt: 1:   Volume 1A Pattern Based Reason/
  73.    wt: 1:   Volume 1 Elements of Reason/
  74.    wt: 1:   Work and Study Tips/
  75.    wt: 1:   Resources and Reciprocal Links/
  76.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

753 matches:

  1.    wt: 5:   4 Function notation in and beyond mathematics
  2.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  3.    wt: 4:   26 Function definitions done and coming
  4.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  5.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  6.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  7.    wt: 4:   Rewriting algebraic substitution as function substitutions
  8.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 4:   21 Logarithms Powers and Exponentials
  10.    wt: 4:   7 Translations Rotations Reflections Dilatations
  11.    wt: 4:   8 Division and Mulplication of Compound Fractions
  12.    wt: 4:   3 GE III Equation Addition and Multiplication
  13.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  14.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  15.    wt: 4:   38 Formulas and derivatives for powers and roots
  16.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  17.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  18.    wt: 3:   H LAMP Introduction Instructional Concepts
  19.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  20.    wt: 3:   5 logarithms and exponentials etc
  21.    wt: 3:   Secondary One Mathematics
  22.    wt: 3:   Education in mathematics science and technology
  23.    wt: 3:   Motivation and Context Problem
  24.    wt: 3:   chapitre 04 05 Implication versus suggestion
  25.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  26.    wt: 3:   13 Addition and Addition Tables
  27.    wt: 3:   17 Function maxima minima and their location
  28.    wt: 3:   14 Surjections Injections Bijections
  29.    wt: 3:   13 From one to one to many to one
  30.    wt: 3:   8 Set view of relations and functions
  31.    wt: 3:   6 Set Existence Formation and Notation
  32.    wt: 3:   5 Function notation for geometric transformations
  33.    wt: 3:   2 Algebraic use of function notation
  34.    wt: 3:   1 Geometric Introduction of Function Notation
  35.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  36.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  37.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  38.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  39.    wt: 3:   4 Polynomials Long division linear divisor
  40.    wt: 3:   3 Polynomials Multiplication Addition
  41.    wt: 3:   16 cotangent function Definition Graph and Inverse
  42.    wt: 3:   15 cosecant function Definition Graph and Inverse
  43.    wt: 3:   14 secant function Definition Graph and Inverse
  44.    wt: 3:   13 cosecant function Definition Graph and Inverse
  45.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  46.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  47.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  48.    wt: 3:   30 unit circle calculation of six trigonometric functions
  49.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  50.    wt: 3:   6 Polar Multiplication and Rotation
  51.    wt: 3:   5 Cartesian Addition and Translation
  52.    wt: 3:   3 Lengths and Areas on Maps and Plans
  53.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  54.    wt: 3:   11 Signed Number Addition and Addition Properties
  55.    wt: 3:   B Decimal Comparison and Subtraction
  56.    wt: 3:   4 Subtraction and Division Axioms
  57.    wt: 3:   2 Addition and Multiplication Axioms
  58.    wt: 3:   3 Geometric Formulas and Function Notation
  59.    wt: 3:   1 Formulas Dependence and Function Notation
  60.    wt: 3:   5 Algebraic Solutions Introduction
  61.    wt: 3:   1 Squares and Square Roots Introduction
  62.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  63.    wt: 3:   1 Addition and Subtraction with Units
  64.    wt: 3:   16 Addition Subtraction Comparision Compared
  65.    wt: 3:   13 Fraction Comparison Algebraic View
  66.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  67.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  68.    wt: 3:   Long Division forwards and backwards Example 3
  69.    wt: 3:   Long Division forwards and backwards Example 2
  70.    wt: 3:   Long Division forwards and backwards Example 1
  71.    wt: 3:   10 Division by Five Long and Short Ways
  72.    wt: 3:   Subtraction with J Conversions Example
  73.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  74.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  75.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  76.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  77.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  78.    wt: 3:   6 How long is a million seconds
  79.    wt: 3:   9 Limits Continuity and Composition
  80.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  81.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  82.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  83.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  84.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  85.    wt: 3:   Postscript B More on Story Telling and Reason
  86.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  87.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  88.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  89.    wt: 3:   O On Learning Mathematics and Science
  90.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  91.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  92.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  93.    wt: 2:   Appendix 1 primary and preschool mathematic
  94.    wt: 2:   E LAMP Introduction Modern Mathematics
  95.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  96.    wt: 2:   Ramblings Introduction Algebra Essay
  97.    wt: 2:   7 logic review and decimals an odd combination
  98.    wt: 2:   links Education Resources online
  99.    wt: 2:   key notes and themes
  100.    wt: 2:   Mathematics Education Professors
  101.    wt: 2:   mathematics in context
  102.    wt: 2:   Education Reform Inconsistencies
  103.    wt: 2:   Secondary Three Mathematics
  104.    wt: 2:   Secondary Two Mathematics
  105.    wt: 2:   geometric implications for algebra
  106.    wt: 2:   teaching tutoring algebraic reason
  107.    wt: 2:   three goals for Mathematics Education
  108.    wt: 2:   02 20 mathematics education references
  109.    wt: 2:   mathematics instruction in general
  110.    wt: 2:   three kinds of reason in mathematics
  111.    wt: 2:   fairness and inductive principles for instruction
  112.    wt: 2:   chapitre 07 01 principle D induction mathematique
  113.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  114.    wt: 2:   chapitre 05 00 Deception
  115.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  116.    wt: 2:   C Electromotive force conventional current02
  117.    wt: 2:   B Electromotive force conventional current01
  118.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  119.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  120.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  121.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  122.    wt: 2:   16 Secondary Mathematics Tips
  123.    wt: 2:   14 Multiplication and Times Tables
  124.    wt: 2:   12 Goals and Objectives For Mathematics
  125.    wt: 2:   11 Help and Defend Your Child or Teens Education
  126.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  127.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  128.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  129.    wt: 2:   19 Horizontal line rule and method
  130.    wt: 2:   12 Function Domain Recognition Exercises
  131.    wt: 2:   11 Function Domain Range Source and Targets
  132.    wt: 2:   9 quadratics physical and further context
  133.    wt: 2:   10 Exponential Growth and Decay Models
  134.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  135.    wt: 2:   1 Degrees and Radians Introduction
  136.    wt: 2:   A Global Time and Navigation
  137.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  138.    wt: 2:   Straight Lines Instersection Solving Equations
  139.    wt: 2:   7 Tangent Function is odd on this domain
  140.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  141.    wt: 2:   25 tangent double angle formula Slope connection
  142.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  143.    wt: 2:   14 cosine even and sine and tangent are odd
  144.    wt: 2:   12 Graph of tangent function for one period
  145.    wt: 2:   9 Graphs of sine and cosine over one period
  146.    wt: 2:   1 Unit Points Reflections Rotations
  147.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  148.    wt: 2:   16 References and Originality Question
  149.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  150.    wt: 2:   3 Trigonometric Ratios sine and cosine
  151.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  152.    wt: 2:   8 Similarity of Triangles and Polygons
  153.    wt: 2:   7 Exercises to test skill and concept mastery
  154.    wt: 2:   1 Numerical view of lines and their equations
  155.    wt: 2:   PS G Rotation Distributes over Addition
  156.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  157.    wt: 2:   PS B Parallelogram Construction Methods
  158.    wt: 2:   PS A Kite Construction Methods
  159.    wt: 2:   11 Triangle Construction Fails
  160.    wt: 2:   9 Construction of a right bisector
  161.    wt: 2:   6 Ruler and compass Angle Bisection
  162.    wt: 2:   1 Initial Concepts and Terms
  163.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  164.    wt: 2:   4 Location of Point in Decimal Addition
  165.    wt: 2:   3 Location of Point in Decimal Multiplication
  166.    wt: 2:   1 Fractions with Finite Decimal Expansions
  167.    wt: 2:   E Long Division Methods more
  168.    wt: 2:   D Long Division Methods
  169.    wt: 2:   2 Combing Counts Addition Skills and Principles
  170.    wt: 2:   4 Fraction Operations Axiomatic Development
  171.    wt: 2:   2 Fraction Operations Physical Development
  172.    wt: 2:   5 Proportionality in Equivalent Fractions
  173.    wt: 2:   4 Rates Ratios and Proporitionality
  174.    wt: 2:   3 Linear Equation Literal Solution More
  175.    wt: 2:   2 Linear Equation Literal Solution
  176.    wt: 2:   6 Equations and Systems Equivalent or Implied
  177.    wt: 2:   2 More and Less Than for Counts and Measures
  178.    wt: 2:   1 Whole and Natural Numbers
  179.    wt: 2:   2 Computation Rules Evaluation
  180.    wt: 2:   2 Essentially one exercises three with solution
  181.    wt: 2:   6 Algebraic Solution Example
  182.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  183.    wt: 2:   7 Cautious or Safe Set Construction
  184.    wt: 2:   4 A Brief Story of numbers and algebra
  185.    wt: 2:   1 More and Less Than for Counts and Measures
  186.    wt: 2:   7 GCD and LCM from prime factorization
  187.    wt: 2:   1 Least Common Multiples LCM Introduction
  188.    wt: 2:   6 Simplification of Fractions with Units
  189.    wt: 2:   B Fractions and Two Term Ratios
  190.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  191.    wt: 2:   21 Reciprocals for Fractions and Wholes
  192.    wt: 2:   12 Fraction Comparison
  193.    wt: 2:   11 Simplification an Algebraic View
  194.    wt: 2:   9 Improper Fractions and Mixed Numbers
  195.    wt: 2:   6 Multiplication Algebraically Take II
  196.    wt: 2:   4 Fraction Multiplication
  197.    wt: 2:   3 Unit fraction of a fraction
  198.    wt: 2:   2 Unit Fraction Multiplication
  199.    wt: 2:   B Integer Long Division Multiple Choices
  200.    wt: 2:   6 Multiplication by Natural Numbers
  201.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  202.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  203.    wt: 2:   7 Calculator Usage Notes and Cautions
  204.    wt: 2:   5 Prime Factorization and a Square Rule
  205.    wt: 2:   4 video Prime Factorization Introduction
  206.    wt: 2:   Long Division Backwards more
  207.    wt: 2:   Long Division Backward
  208.    wt: 2:   Division with Counts and Length
  209.    wt: 2:   12 Why Long Division Works Take III
  210.    wt: 2:   9 Why Long Division Works Take II
  211.    wt: 2:   7 Long Divison Mistake Catching
  212.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  213.    wt: 2:   5 Long Division Include Zeroes or not
  214.    wt: 2:   5 Decimal Fraction Multiplication
  215.    wt: 2:   Video Power Notation in Decimal Expansion
  216.    wt: 2:   Subtraction Another Video Lesson
  217.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  218.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  219.    wt: 2:   6. Counting and adding units and mixed units
  220.    wt: 2:   4. How to add with decimals B with conversions
  221.    wt: 2:   3. How to add with decimals A sans conversions
  222.    wt: 2:   11 Place Value SI Standard International way
  223.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  224.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  225.    wt: 2:   Quick history of numbers and algebra
  226.    wt: 2:   Exact Arithmetic Wholes and Fractions
  227.    wt: 2:   Expression Evaluation how to show work
  228.    wt: 2:   5 Conversion Arithmetic
  229.    wt: 2:   Volume of Solid by Cross Sections Lesson
  230.    wt: 2:   34 Derivative of exponential function
  231.    wt: 2:   8 Differentiation of polynomials
  232.    wt: 2:   3 Motivation for Limit Definition Take 2
  233.    wt: 2:   2 Motivation for Limit Definition Take 1
  234.    wt: 2:   7 Evaluation by immediate or delayed substitution
  235.    wt: 2:   5 Jumps and absence of unlimited error control
  236.    wt: 2:   3 Decimal insights for limits continuity convergence
  237.    wt: 2:   2 Algebraic codification
  238.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  239.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  240.    wt: 2:   F.1 What Functions are Continuous
  241.    wt: 2:   D2 Limits of Monotone Sequences
  242.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  243.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  244.    wt: 2:   Appendix E. How To Study Mathematics and Why
  245.    wt: 2:   Chapter 31 Direct and Indirect Reason
  246.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  247.    wt: 2:   Chapter 25. Mathematical Induction Examples
  248.    wt: 2:   Chapter 19. Functions and Sets
  249.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  250.    wt: 2:   Chapter 10 Describing and Changing Calculations
  251.    wt: 2:   Chapter 4 Longer Chains of Reason
  252.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  253.    wt: 2:   Postscript B Mathematics Education References
  254.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  255.    wt: 2:   Chapter 2 For and Against Mathematics
  256.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  257.    wt: 2:   Postscript C Consistency as a Tool for Reason
  258.    wt: 2:   Chapter 24 Direct and Indirect Reason
  259.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  260.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  261.    wt: 2:   Chapter 7 Longer Chains of Reason
  262.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  263.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  264.    wt: 2:   N Improving Marks on Tests and Finals
  265.    wt: 2:   J. More on written work and showing skill
  266.    wt: 2:   How to Build Skills and Confidence
  267.    wt: 2:   Chapter 6 More Algebra and Geometry
  268.    wt: 2:   Chapter 3 Algebra Starter Lessons
  269.    wt: 2:   7 Games and Activities for Instruction
  270.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  271.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  272.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  273.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  274.    wt: 2:   Helping the Blind in Logic and Mathematics
  275.    wt: 2:   Mathematics Education References
  276.    wt: 2:   Mathematics Education References
  277.    wt: 2:   More Algebra and Slope based Calculus Preview
  278.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  279.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  280.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  281.    wt: 2:   The Math Forum and Site Content
  282.    wt: 1:   K LAMP Musings Science Education
  283.    wt: 1:   J LAMP Introduction Extrinsic Origins
  284.    wt: 1:   I LAMP Introduction Study Habits
  285.    wt: 1:   G LAMP Introduction Problem Solving Skills
  286.    wt: 1:   F LAMP Introduction Prerequisites
  287.    wt: 1:   A Introduction Objectives
  288.    wt: 1:   Skills Chapter 3 Algebra
  289.    wt: 1:   Skills Chapter 0 Introduction
  290.    wt: 1:   11 pure mathematics
  291.    wt: 1:   6 polynomials etc
  292.    wt: 1:   4 algebra
  293.    wt: 1:   permissions for teachers
  294.    wt: 1:   About site lesson plans
  295.    wt: 1:   teacher certification
  296.    wt: 1:   modern education
  297.    wt: 1:   what should be learnt and When
  298.    wt: 1:   talk the algebra talk
  299.    wt: 1:   mathematics curriculum shifts
  300.    wt: 1:   Lessening Algebra Difficulties
  301.    wt: 1:   the trouble with algebra
  302.    wt: 1:   05 13 OldSiteEntrancePage
  303.    wt: 1:   04 29 New Mathematics Curriculum
  304.    wt: 1:   04 25 when to stop or suspend mathemat
  305.    wt: 1:   three aims for mathematics students
  306.    wt: 1:   standards for course material
  307.    wt: 1:   Operational Viewpoint to Value
  308.    wt: 1:   Different Kinds of Reasoning in maths
  309.    wt: 1:   Four ways to improve education reform
  310.    wt: 1:   need for a mixed mathematics curriculum
  311.    wt: 1:   Leaner mathematics curriculum
  312.    wt: 1:   education an empirical art
  313.    wt: 1:   words for mathematics instructor
  314.    wt: 1:   chapitre 12 00 les iles et division
  315.    wt: 1:   chapitre 06 00 Chaines de la raison
  316.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  317.    wt: 1:   chapitre 04 08 Limitations et benefices
  318.    wt: 1:   chapitre 04 04 Parlons de la logique
  319.    wt: 1:   chapitre 04 00 Les regles d implication
  320.    wt: 1:   chapitre 02 00 La Communication des idees
  321.    wt: 1:   chapitre 01 00 Introduction
  322.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  323.    wt: 1:   problemes responses
  324.    wt: 1:   Trois Notions qui menent a algebre
  325.    wt: 1:   deux definitions pour variable
  326.    wt: 1:   E Energy Power05
  327.    wt: 1:   2 Conductance Resistance Duality02
  328.    wt: 1:   1 Conductance Resistance Duality01
  329.    wt: 1:   F Wire Resistance Calculation04
  330.    wt: 1:   E Wire Resistance Calculation03
  331.    wt: 1:   D Wire Resistance Calculation02
  332.    wt: 1:   C Wire Resistance Calculation01
  333.    wt: 1:   E Kirchoffs Second Law
  334.    wt: 1:   Home Tutoring and Home Schooling
  335.    wt: 1:   24 Standards For Skill Develoment Take II
  336.    wt: 1:   24 Standards For Skill Develoment
  337.    wt: 1:   22 Student Centered Highschool Mathematics
  338.    wt: 1:   18 Primary School Mathematics
  339.    wt: 1:   17 Math Booklets for children and young teenagers
  340.    wt: 1:   10 Ends values for work study instruction
  341.    wt: 1:   9 Streaming by Student Cooperation
  342.    wt: 1:   7 Student Motivation
  343.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  344.    wt: 1:   5 Patience Please for Yourself and Your Charges
  345.    wt: 1:   4 Learning Takes Time and Effort
  346.    wt: 1:   2 Reading and Writing Skills
  347.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  348.    wt: 1:   sign monoticity analysis example 4
  349.    wt: 1:   sign monoticity analysis example 3
  350.    wt: 1:   sign monoticity analysis example 2
  351.    wt: 1:   sign monoticity analysis example 1
  352.    wt: 1:   23 Inverse Functions
  353.    wt: 1:   22 Square Root function graphically
  354.    wt: 1:   20 Interchanging coordinates a reflection
  355.    wt: 1:   18 Vertical Line Rule and Method
  356.    wt: 1:   16 Increasing or decreasing on intervals
  357.    wt: 1:   15 Sign analysis of functions
  358.    wt: 1:   10 Interval Notation
  359.    wt: 1:   9 Set theory term relation possible origins
  360.    wt: 1:   7 Functions with finite domains
  361.    wt: 1:   3 Formula or function graphing exercise
  362.    wt: 1:   Introduction Reading Guide
  363.    wt: 1:   7 quadratic formulla derivation
  364.    wt: 1:   3 quadratics factoring by inspection
  365.    wt: 1:   11 Growth and Decay in Biology
  366.    wt: 1:   5 Natural Logarithm Calculator Exercises
  367.    wt: 1:   2 Square Root Simplification a prequel
  368.    wt: 1:   7 Links Lessons Elsewhere
  369.    wt: 1:   2 Column Multiplication Method
  370.    wt: 1:   1 Polynomials Distributive Law
  371.    wt: 1:   12 motivation for term arctan
  372.    wt: 1:   10 arctan left inverse of tangent Definition
  373.    wt: 1:   9 motivation for name arcsin
  374.    wt: 1:   7 arcsin left inverse of sine Definition
  375.    wt: 1:   6 Graph of arccos function
  376.    wt: 1:   5 Swapping Coordinates is a reflection
  377.    wt: 1:   4 possible motivation for term arccos
  378.    wt: 1:   3 Left Inverse of cosine arccos definition
  379.    wt: 1:   2 cosine function more properties
  380.    wt: 1:   1 cosine function properties
  381.    wt: 1:   9 Summary Degrees to Radians and back
  382.    wt: 1:   8 Radian Measures of Common Angles
  383.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  384.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  385.    wt: 1:   2 Radian Measure Numerical Value of one degree
  386.    wt: 1:   15 Dot and Cross Product
  387.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  388.    wt: 1:   12 From Applied To Pure Mathematics
  389.    wt: 1:   11 Component Method
  390.    wt: 1:   10 Parallelogram Addition Method
  391.    wt: 1:   5 Head To Tail Arrow Addition
  392.    wt: 1:   3 Navigation with Arrows or Vectors
  393.    wt: 1:   Vector and Complex Number Applet
  394.    wt: 1:   Parallel Lines and Parallel Transversals
  395.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  396.    wt: 1:   Parallel Lines and Interior Angles
  397.    wt: 1:   Straight Lines ASA Intersection Study More
  398.    wt: 1:   Straight Lines ASA Intersection Study
  399.    wt: 1:   Straight Lines Intersection of
  400.    wt: 1:   14 Straight Lines Equations General Case
  401.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  402.    wt: 1:   10 Straight Lines through Origin Equations More
  403.    wt: 1:   9 Straight Lines through Origin Equations
  404.    wt: 1:   8 Straight Lines Equation for vertical
  405.    wt: 1:   5 Tangent Function Graph
  406.    wt: 1:   4 Tangent Function Properties
  407.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  408.    wt: 1:   1 Straight Lines Slope Concept
  409.    wt: 1:   17 tangent function angle sum formulas
  410.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  411.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  412.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  413.    wt: 1:   29 secant cosecant and cotangent for acute angles
  414.    wt: 1:   27 Logarithmic use of products of sines and cosines
  415.    wt: 1:   26 Formulas for products of sines and cosines
  416.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  417.    wt: 1:   21 sine and cosine Half Angle Formulas
  418.    wt: 1:   20 sine and cosine Double Angle Formulas
  419.    wt: 1:   17G Pythagorean Theorem Converse
  420.    wt: 1:   17E Trig Formulas for dot and cross Products
  421.    wt: 1:   17D cis formulas for sine cosines and tangent
  422.    wt: 1:   17C sine and cosine double triple angle formulas
  423.    wt: 1:   17A The complex number valued trig function cis
  424.    wt: 1:   16 Right Triangle Complementary Angle Relations
  425.    wt: 1:   15 sine cosine Complementary Angle Relations
  426.    wt: 1:   13 Graph of tangent function many periods
  427.    wt: 1:   11 tangent function undefined when terminal side vertical
  428.    wt: 1:   10 Graphs of sines and cosines many periods
  429.    wt: 1:   8 period of tangent function
  430.    wt: 1:   7 period of sine and cosine
  431.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  432.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  433.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  434.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  435.    wt: 1:   Unit Circle Development of Trigonometry
  436.    wt: 1:   20 N th Roots of Complex Numbers
  437.    wt: 1:   19 N th Roots of Unity
  438.    wt: 1:   18 Sixth Roots of Unity
  439.    wt: 1:   17 Cube Roots of unity
  440.    wt: 1:   15 Pythagorean Theorem Converse
  441.    wt: 1:   13 Trig Formulas for dot and cross Products
  442.    wt: 1:   12 cis formulas for sine cosines and tangent
  443.    wt: 1:   11 sine and cosine double triple angle formulas
  444.    wt: 1:   9 The complex number valued trig function cis
  445.    wt: 1:   8 Unit Circle Development of Trigonometry
  446.    wt: 1:   7 Second Way to Calculate Products
  447.    wt: 1:   4 Multiplication Properties
  448.    wt: 1:   3 Addition Properties
  449.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  450.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  451.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  452.    wt: 1:   Why Trigonometry the whyslopes view
  453.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  454.    wt: 1:   4 Similarity Definition with Coordinate
  455.    wt: 1:   1 Early Concept of Like or Similar Shapes
  456.    wt: 1:   12 Links Lessons elsewhere
  457.    wt: 1:   10 Midpoint of [a b] and [b a]
  458.    wt: 1:   6 Intersection of lines by solving linear systems
  459.    wt: 1:   5 Algebraic View of Slopes
  460.    wt: 1:   4 Equations for lines three forms
  461.    wt: 1:   2 point slope equation for a line
  462.    wt: 1:   What is and is not here
  463.    wt: 1:   8 Distance Between Points on a Line
  464.    wt: 1:   4 Polar Coordinates to and from
  465.    wt: 1:   PS E Multiplication with Polar Coordinates
  466.    wt: 1:   PS D Addition with Cartesian Coordinates
  467.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  468.    wt: 1:   16 Angles Subtended By Chords and Diameters
  469.    wt: 1:   3 Isometry of Triangles Congruence
  470.    wt: 1:   2 Correspondence between Triangles
  471.    wt: 1:   Short Course on Euclidean Geometry
  472.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  473.    wt: 1:   4 Angles on Maps Plans drawn to scale
  474.    wt: 1:   About Folder Contents
  475.    wt: 1:   A Modular and Remainder Arithmetic
  476.    wt: 1:   26 More Less Greater Than Comparison
  477.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  478.    wt: 1:   23 Distributive Law Two Derivations
  479.    wt: 1:   22 Multiplication of Signed Numbers
  480.    wt: 1:   21 Addition of Multiples of a Single Vector
  481.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  482.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  483.    wt: 1:   15 Head to Tails in place Addition Associative
  484.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  485.    wt: 1:   13 Arrows and Vectors in a Plane
  486.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  487.    wt: 1:   9 Division with Digits after Decimal Point
  488.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  489.    wt: 1:   2 Counting Digits in Decimal Multiplication
  490.    wt: 1:   C Three Decimal Subtraction Methods
  491.    wt: 1:   A Decimal Addition Columm Methods
  492.    wt: 1:   8 Column Multiplication Methods in General
  493.    wt: 1:   7 Decimals Multiplication Methods Examples
  494.    wt: 1:   6 Column Methods for Decimal Multiplication
  495.    wt: 1:   3 Inequalities Algebraically
  496.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  497.    wt: 1:   3 Proportionality Examples
  498.    wt: 1:   2 Algebraic View
  499.    wt: 1:   1 What is Proportionality
  500.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  501.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  502.    wt: 1:   6 Compound Interest Forward and Backwards
  503.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  504.    wt: 1:   1 Changing Calculations
  505.    wt: 1:   5 Equality in Algebra
  506.    wt: 1:   1 Equivalent Computation Rules
  507.    wt: 1:   4 Comparison of Negative Numbers
  508.    wt: 1:   3 More and Less Than with Unlike Signs
  509.    wt: 1:   1 Real Numbers Comparison
  510.    wt: 1:   16 Real Numbers Comparison
  511.    wt: 1:   15 Real Number Division
  512.    wt: 1:   14 Real Number Multiplication
  513.    wt: 1:   13 Real Number Subtraction
  514.    wt: 1:   11 Real Number Addition
  515.    wt: 1:   10 Real Number Lengths and Signs
  516.    wt: 1:   9 Coordinates for Regions in Space
  517.    wt: 1:   8 Coordinates for Maps and Planes
  518.    wt: 1:   5 Rational Numbers More
  519.    wt: 1:   4 Rational Numbers
  520.    wt: 1:   3 Fractions
  521.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  522.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  523.    wt: 1:   2 GE II Comparison
  524.    wt: 1:   1 GE Substitution four examples
  525.    wt: 1:   1 Essentially One Unknown
  526.    wt: 1:   4 Four Examples Fractional Coefficients
  527.    wt: 1:   10 One Example
  528.    wt: 1:   8 One Example
  529.    wt: 1:   9 Volume of Cone
  530.    wt: 1:   8 Compound Interest Formula Evaluation
  531.    wt: 1:   7 Compound Interest Formula Introduction
  532.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  533.    wt: 1:   1 Written work formats for developing and showing skill
  534.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  535.    wt: 1:   9 Sets in Probability and Statistics
  536.    wt: 1:   6 Power Set Notation
  537.    wt: 1:   5 Product Builder Notation
  538.    wt: 1:   4 Subset Builder Notation
  539.    wt: 1:   6 Three Notions of What is a Variable
  540.    wt: 1:   5 Talking about Numbers and Quantities
  541.    wt: 1:   1 Three Skills For Algebra
  542.    wt: 1:   About Folder Contents
  543.    wt: 1:   3 Comparison of Negative Numbers
  544.    wt: 1:   2 More and Less Than with Unlike Signs
  545.    wt: 1:   5 Square Roots with primes more still
  546.    wt: 1:   4 Square Roots with primes more
  547.    wt: 1:   3 Properties of Square Roots with example
  548.    wt: 1:   2 Square Roots with Prime
  549.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  550.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  551.    wt: 1:   13 GCD from given Prime Factorization
  552.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  553.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  554.    wt: 1:   5 Common Divisors 60 45 via Prime
  555.    wt: 1:   4 LCM of 8 and 10 via Prime
  556.    wt: 1:   2 Least Common Multiple LCM intro via list method
  557.    wt: 1:   3 Counting with Tables and Trees II
  558.    wt: 1:   2 Counting with Tables and Trees I
  559.    wt: 1:   1 Counting and Counting Methods I
  560.    wt: 1:   11 What are real lengths and numbers
  561.    wt: 1:   7 negative and additive inverse
  562.    wt: 1:   5 lengths and signs of numbers
  563.    wt: 1:   4 signed coordinates for regions in space
  564.    wt: 1:   3 signed coordinates for maps and planes
  565.    wt: 1:   2 signed and unsigned numbers as coordinates
  566.    wt: 1:   7 Converting or Changing Units
  567.    wt: 1:   4 Fractions with Units
  568.    wt: 1:   3 Multiplying Units and Numbers
  569.    wt: 1:   2 Equality and Units
  570.    wt: 1:   22 Complex Compound Fractions
  571.    wt: 1:   20 Dividing Fractions the Why
  572.    wt: 1:   19 Dividing Fractions How TO
  573.    wt: 1:   17 Efficient Ways to Add and Subtract
  574.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  575.    wt: 1:   14 Adding and Subtracting with Like Denominators
  576.    wt: 1:   8 Numerals Fractionals Quantals Take II
  577.    wt: 1:   7 Numerals Fractionals Quantals
  578.    wt: 1:   6 Multiplication of Mixed Numbers
  579.    wt: 1:   5 Equivalent Fractions
  580.    wt: 1:   1 What is a fraction Take II
  581.    wt: 1:   1 What is a fraction
  582.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  583.    wt: 1:   13 Subtraction with Additive Inverse
  584.    wt: 1:   11 Adding Integers Formulas and Examples
  585.    wt: 1:   10 Integer Multiplication Formulas
  586.    wt: 1:   8 Multiplication by Signed Numbers Integers
  587.    wt: 1:   7 Multiplication by Signs
  588.    wt: 1:   5 Zero Movement and Additive Inverses
  589.    wt: 1:   4 Adding Movements wiht opposite directions
  590.    wt: 1:   3 Adding Movements with same direction
  591.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  592.    wt: 1:   20 Uniqueness of Prime Factorization
  593.    wt: 1:   19 video Prime Factorization Unique
  594.    wt: 1:   18 video Count Factors given Prime Factorization
  595.    wt: 1:   17 Identify and Count Factors using Primes
  596.    wt: 1:   15 video Factors of 20 using Prime Factorization
  597.    wt: 1:   12 LCD GCD and LCM using Primes
  598.    wt: 1:   10 video Prime Factorization upto 23 squared
  599.    wt: 1:   9 video Prime Factorization upto 19 squared
  600.    wt: 1:   8 video Prime Factorization upto 19
  601.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  602.    wt: 1:   3 video Primes and Composites from 9 times table
  603.    wt: 1:   2 Prime and Composites less than 16
  604.    wt: 1:   4 Division with 2 Digit Divsors
  605.    wt: 1:   3 Division Single Digit Divisor Example
  606.    wt: 1:   2 Division with Single Digit Divisors
  607.    wt: 1:   1 Divsion Physical Examples
  608.    wt: 1:   D Decimal Multiplication Methods Derived
  609.    wt: 1:   C Counting Areas with Powers of Ten
  610.    wt: 1:   B Powers of Ten
  611.    wt: 1:   A Elementary Basis for Multiplication Methods
  612.    wt: 1:   6 Multiplication Commutes Order Not Important
  613.    wt: 1:   4 Two and Three Digit Multipliers
  614.    wt: 1:   3 More One Digit Multipliers
  615.    wt: 1:   2 One Digit Multipliers
  616.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  617.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  618.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  619.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  620.    wt: 1:   9 22 Minute Subtraction Review Video
  621.    wt: 1:   8 Subtraction with Units of Measure
  622.    wt: 1:   5 A Tip for Efficent Subtraction
  623.    wt: 1:   2 Subtraction Easy Case Examples
  624.    wt: 1:   8 What skills and work habits to require
  625.    wt: 1:   7 Adding decimal fractions using decimal point
  626.    wt: 1:   1. Explaining Addition Table
  627.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  628.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  629.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  630.    wt: 1:   Formula Evaluation how to show work
  631.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  632.    wt: 1:   About folder contents
  633.    wt: 1:   015 School and work day counting tables
  634.    wt: 1:   012 Division of Time Intervals by Time Intervals
  635.    wt: 1:   011 Division of Time Intervals By Numbers
  636.    wt: 1:   010 Repeated Addition of Time Intervals
  637.    wt: 1:   8 Addition of Time Intervals via subtotaling
  638.    wt: 1:   7 Addition of Time Intervals
  639.    wt: 1:   4 Mixing and Changing Units of Time
  640.    wt: 1:   3 Units and Lengths of Time
  641.    wt: 1:   2 Time and Date Matters in School
  642.    wt: 1:   Example 2 volume of a cone
  643.    wt: 1:   Example 1. Area Between x and x squared
  644.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  645.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  646.    wt: 1:   Example 4 with x function of y
  647.    wt: 1:   Area Between Curves Lesson Take 2
  648.    wt: 1:   Area Between Curves Lesson Take 1
  649.    wt: 1:   4 Definite Integrals Evaluation Exercises
  650.    wt: 1:   1 Chain Rule in Reverse Integration Method
  651.    wt: 1:   A Related lessons in Volume 3
  652.    wt: 1:   4 Second derivative test exercise example
  653.    wt: 1:   3 Second derivative test
  654.    wt: 1:   2 Second derivative test prequel
  655.    wt: 1:   31 Derivatives of inverse functions
  656.    wt: 1:   29 Chain Rule Optional Reading
  657.    wt: 1:   28 Chain Rule Preparation for a Proof
  658.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  659.    wt: 1:   26 Chain Rule Recognising outer inner functions
  660.    wt: 1:   25 Chain Rule Animated Examples Continued
  661.    wt: 1:   22 Chain Rule for polynomials
  662.    wt: 1:   21 Chain Rule for powers
  663.    wt: 1:   19 Chain Rule for linear functions
  664.    wt: 1:   18 Chain Rule Introduction
  665.    wt: 1:   17 Derivatives of quotients of sine and cosine
  666.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  667.    wt: 1:   15 sine and cosine derivatives 3rd step
  668.    wt: 1:   14 sine and cosine derivatives 2nd step
  669.    wt: 1:   13 sine and cosine derivatives 1st step
  670.    wt: 1:   7 Animated Differentiation Examples
  671.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  672.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  673.    wt: 1:   10 Three one sided limits with infinite values
  674.    wt: 1:   6 Continuity at a point
  675.    wt: 1:   1 Numerical introduction
  676.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  677.    wt: 1:   G.5 Motions With Bounded Velocities
  678.    wt: 1:   G.3 Constant Difference Theorem Proof
  679.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  680.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  681.    wt: 1:   F.5a Equicontinuity Theorems
  682.    wt: 1:   E2 Algebraic Properties of Limits
  683.    wt: 1:   E1 Error Control Inequalities
  684.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  685.    wt: 1:   PostScript For and Against Decimal Perspectives
  686.    wt: 1:   A1. Introduction
  687.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  688.    wt: 1:   Chapter 23 Links To Trigonometry
  689.    wt: 1:   Chapter 21 Arrow Addition
  690.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  691.    wt: 1:   Chapter 18. Slopes Areas Integration
  692.    wt: 1:   Chapter 17. Area Approximation
  693.    wt: 1:   Chapter 16. Velocity Approximation
  694.    wt: 1:   Chapter 15. Slope Approximation
  695.    wt: 1:   Chapter 13. Acceleration
  696.    wt: 1:   Chapter 12. Units and Slopes
  697.    wt: 1:   Chapter 11. Graphing Slope versus Position
  698.    wt: 1:   Chapter 10 Slopes and Units
  699.    wt: 1:   Chapter 8. Slope Interpretation
  700.    wt: 1:   Chapter 7 Slopes and Velocity
  701.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  702.    wt: 1:   Chapter 2. Slopes and Ski Trails
  703.    wt: 1:   Chapter 1.Introduction
  704.    wt: 1:   Postscript More on Better Performance
  705.    wt: 1:   Appendix D. What to do in School and Why
  706.    wt: 1:   Chapter 23. Notation For Sums
  707.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  708.    wt: 1:   Chapter 20. Degrees and Radians
  709.    wt: 1:   Chapter 18. Rules for Algebra
  710.    wt: 1:   Chapter 15. Solving Linear Equations
  711.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  712.    wt: 1:   Chapter 13. Second Reading Guide
  713.    wt: 1:   Chapter 12. Shorthand Usage Guide
  714.    wt: 1:   Chapter 11. Why Shorthand
  715.    wt: 1:   Chapter 8 Three Skills For Algebra
  716.    wt: 1:   Solutions For Arithmetic Exercises
  717.    wt: 1:   Chapter 3 Chains of Reason
  718.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  719.    wt: 1:   Chapter 11 Elementary Instruction
  720.    wt: 1:   Chapter 10 Transition
  721.    wt: 1:   Chapter 8 Modern Instruction
  722.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  723.    wt: 1:   Chapter 3 Algebra Difficulties
  724.    wt: 1:   Chapter 1 Introduction
  725.    wt: 1:   Chapter 18 Sense and Knowledge
  726.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  727.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  728.    wt: 1:   Chapter 10 Responsibility
  729.    wt: 1:   Chapter 6 Chains of Reason
  730.    wt: 1:   Chapter 5 Deception
  731.    wt: 1:   Chapter 1 Introduction
  732.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  733.    wt: 1:   S Adding words to algebra
  734.    wt: 1:   R Why Learn Mathematics Skills
  735.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  736.    wt: 1:   N Mathematics Prepare for College Studies
  737.    wt: 1:   I. Logic and language skills
  738.    wt: 1:   H more Routine to non routine problem solving
  739.    wt: 1:   H Jigsaw puzzles and problem solving
  740.    wt: 1:   G. Written work formats for developing and showing skill
  741.    wt: 1:   E. When and how to correct errors
  742.    wt: 1:   D. Check work a must with a caution
  743.    wt: 1:   Chapter 8 Skipped Topics and Why
  744.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  745.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  746.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  747.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  748.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  749.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  750.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  751.    wt: 1:   Implementation Notes
  752.    wt: 1:   Systematic Algebra Skill Development Missing Links
  753.    wt: 1:   Road Safety Questions

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  1.    wt: 9:   11 Growth and Decay in Biology
  2.    wt: 9:   2 Square Root Simplification a prequel
  3.    wt: 9:   3 Geometric Formulas and Function Notation
  4.    wt: 9:   1 Formulas Dependence and Function Notation
  5.    wt: 9:   5 Jumps and absence of unlimited error control
  6.    wt: 8:   5 Function notation for geometric transformations
  7.    wt: 8:   4 Function notation in and beyond mathematics
  8.    wt: 8:   1 Calculator Starter Exercises
  9.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  10.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  11.    wt: 8:   7 Translations Rotations Reflections Dilatations
  12.    wt: 8:   5 Cartesian Addition and Translation
  13.    wt: 8:   5 Proportionality in Equivalent Fractions
  14.    wt: 8:   2 Computation Rules Evaluation
  15.    wt: 8:   3 GE III Equation Addition and Multiplication
  16.    wt: 8:   6 Algebraic Solution Example
  17.    wt: 8:   Volume of Solid by Cross Sections Lesson
  18.    wt: 8:   Example 1. Area Between x and x squared
  19.    wt: 8:   9 Limits Continuity and Composition
  20.    wt: 7:   26 Function definitions done and coming
  21.    wt: 7:   24 Monotoncity Injectivity and Inverse Functions
  22.    wt: 7:   16 cotangent function Definition Graph and Inverse
  23.    wt: 7:   15 cosecant function Definition Graph and Inverse
  24.    wt: 7:   14 secant function Definition Graph and Inverse
  25.    wt: 7:   13 cosecant function Definition Graph and Inverse
  26.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  27.    wt: 7:   4 Subtraction and Division Axioms
  28.    wt: 7:   2 Addition and Multiplication Axioms
  29.    wt: 7:   5 Independent versus Dependent Variables
  30.    wt: 7:   5 Gaussian Elimination for 3 unknowns 2nd example
  31.    wt: 7:   4 Four Examples Fractional Coefficients
  32.    wt: 7:   5 Three Examples
  33.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  34.    wt: 7:   Fraction Operations by Raising Terms A Simple Innovation
  35.    wt: 7:   5 Long Division Include Zeroes or not
  36.    wt: 7:   Example 2 volume of a cone
  37.    wt: 7:   Example 1 volume of a pyramid
  38.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  39.    wt: 7:   Area Between Crossing Curves Lesson Take 1
  40.    wt: 7:   Example 4 with x function of y
  41.    wt: 7:   Area Between Curves Lesson Take 2
  42.    wt: 7:   Area Between Curves Lesson Take 1
  43.    wt: 7:   38 Formulas and derivatives for powers and roots
  44.    wt: 7:   7 Evaluation by immediate or delayed substitution
  45.    wt: 7:   3 Decimal insights for limits continuity convergence
  46.    wt: 7:   2 Algebraic codification
  47.    wt: 6:   5 logarithms and exponentials etc
  48.    wt: 6:   17 Function maxima minima and their location
  49.    wt: 6:   14 Surjections Injections Bijections
  50.    wt: 6:   13 From one to one to many to one
  51.    wt: 6:   8 Set view of relations and functions
  52.    wt: 6:   6 Set Existence Formation and Notation
  53.    wt: 6:   2 Algebraic use of function notation
  54.    wt: 6:   1 Geometric Introduction of Function Notation
  55.    wt: 6:   6 Polynomial Operations and Equivalent Computation Rules
  56.    wt: 6:   4 Polynomials Long division linear divisor
  57.    wt: 6:   3 Polynomials Multiplication Addition
  58.    wt: 6:   Rewriting algebraic substitution as function substitutions
  59.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  60.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  61.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  62.    wt: 6:   7 Tangent Function is odd on this domain
  63.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  64.    wt: 6:   30 unit circle calculation of six trigonometric functions
  65.    wt: 6:   21 Logarithms Powers and Exponentials
  66.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  67.    wt: 6:   8 Similarity of Triangles and Polygons
  68.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  69.    wt: 6:   5 Algebraic View of Slopes
  70.    wt: 6:   6 Polar Multiplication and Rotation
  71.    wt: 6:   PS G Rotation Distributes over Addition
  72.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  73.    wt: 6:   PS B Parallelogram Construction Methods
  74.    wt: 6:   PS A Kite Construction Methods
  75.    wt: 6:   11 Triangle Construction Fails
  76.    wt: 6:   9 Construction of a right bisector
  77.    wt: 6:   6 Ruler and compass Angle Bisection
  78.    wt: 6:   5 Side Angle Side
  79.    wt: 6:   1 Initial Concepts and Terms
  80.    wt: 6:   8 Division and Mulplication of Compound Fractions
  81.    wt: 6:   B Decimal Comparison and Subtraction
  82.    wt: 6:   4 Fraction Operations Axiomatic Development
  83.    wt: 6:   2 Fraction Operations Physical Development
  84.    wt: 6:   4 Rates Ratios and Proporitionality
  85.    wt: 6:   3 Linear Equation Literal Solution More
  86.    wt: 6:   2 Linear Equation Literal Solution
  87.    wt: 6:   6 Equations and Systems Equivalent or Implied
  88.    wt: 6:   5 Equality in Algebra
  89.    wt: 6:   2 More and Less Than for Counts and Measures
  90.    wt: 6:   4 Changing Letters
  91.    wt: 6:   3 Four Examples
  92.    wt: 6:   2 Three Examples
  93.    wt: 6:   1 Proper Equal Sign Usage
  94.    wt: 6:   10 One Example
  95.    wt: 6:   8 One Example
  96.    wt: 6:   1 Squares and Square Roots Introduction
  97.    wt: 6:   5 Reciprocals and Division for Fractions with Units
  98.    wt: 6:   1 Addition and Subtraction with Units
  99.    wt: 6:   16 Addition Subtraction Comparision Compared
  100.    wt: 6:   13 Fraction Comparison Algebraic View
  101.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  102.    wt: 6:   5 Zero Movement and Additive Inverses
  103.    wt: 6:   5 Prime Factorization and a Square Rule
  104.    wt: 6:   Long Division forwards and backwards Example 3
  105.    wt: 6:   Long Division forwards and backwards Example 2
  106.    wt: 6:   Long Division forwards and backwards Example 1
  107.    wt: 6:   10 Division by Five Long and Short Ways
  108.    wt: 6:   5 Decimal Fraction Multiplication
  109.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  110.    wt: 6:   Example 3
  111.    wt: 6:   Example 2
  112.    wt: 6:   Example 1
  113.    wt: 6:   Summary
  114.    wt: 6:   5 Area Under Curve Exercise
  115.    wt: 6:   4 Definite Integrals Evaluation Exercises
  116.    wt: 6:   3 Two Chain Rule Method Exercises
  117.    wt: 6:   1 Chain Rule in Reverse Integration Method
  118.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  119.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  120.    wt: 6:   10 Three one sided limits with infinite values
  121.    wt: 6:   6 Continuity at a point
  122.    wt: 6:   1 Numerical introduction
  123.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  124.    wt: 5:   Secondary One Mathematics
  125.    wt: 5:   mathematics instruction in general
  126.    wt: 5:   Education in mathematics science and technology
  127.    wt: 5:   Motivation and Context Problem
  128.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  129.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  130.    wt: 5:   19 Horizontal line rule and method
  131.    wt: 5:   12 Function Domain Recognition Exercises
  132.    wt: 5:   11 Function Domain Range Source and Targets
  133.    wt: 5:   12 motivation for term arctan
  134.    wt: 5:   10 arctan left inverse of tangent Definition
  135.    wt: 5:   9 motivation for name arcsin
  136.    wt: 5:   7 arcsin left inverse of sine Definition
  137.    wt: 5:   6 Graph of arccos function
  138.    wt: 5:   5 Swapping Coordinates is a reflection
  139.    wt: 5:   4 possible motivation for term arccos
  140.    wt: 5:   3 Left Inverse of cosine arccos definition
  141.    wt: 5:   2 cosine function more properties
  142.    wt: 5:   1 cosine function properties
  143.    wt: 5:   1 Degrees and Radians Introduction
  144.    wt: 5:   7 Coordinate Addition and Scalar Multiplication
  145.    wt: 5:   Parallel Lines and Parallel Transversals
  146.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  147.    wt: 5:   Parallel Lines and Interior Angles
  148.    wt: 5:   Straight Lines Instersection Solving Equations
  149.    wt: 5:   14 Straight Lines Equations General Case
  150.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  151.    wt: 5:   10 Straight Lines through Origin Equations More
  152.    wt: 5:   9 Straight Lines through Origin Equations
  153.    wt: 5:   8 Straight Lines Equation for vertical
  154.    wt: 5:   5 Tangent Function Graph
  155.    wt: 5:   4 Tangent Function Properties
  156.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  157.    wt: 5:   1 Straight Lines Slope Concept
  158.    wt: 5:   25 tangent double angle formula Slope connection
  159.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  160.    wt: 5:   14 cosine even and sine and tangent are odd
  161.    wt: 5:   12 Graph of tangent function for one period
  162.    wt: 5:   9 Graphs of sine and cosine over one period
  163.    wt: 5:   8 period of tangent function
  164.    wt: 5:   1 Unit Points Reflections Rotations
  165.    wt: 5:   Unit Circle Development of Trigonometry
  166.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  167.    wt: 5:   3 Trigonometric Ratios sine and cosine
  168.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  169.    wt: 5:   4 Similarity Definition with Coordinate
  170.    wt: 5:   1 Early Concept of Like or Similar Shapes
  171.    wt: 5:   7 Exercises to test skill and concept mastery
  172.    wt: 5:   1 Numerical view of lines and their equations
  173.    wt: 5:   PS E Multiplication with Polar Coordinates
  174.    wt: 5:   PS D Addition with Cartesian Coordinates
  175.    wt: 5:   PS C Similarity Use Recognize it in Trigonometry
  176.    wt: 5:   16 Angles Subtended By Chords and Diameters
  177.    wt: 5:   3 Isometry of Triangles Congruence
  178.    wt: 5:   2 Correspondence between Triangles
  179.    wt: 5:   Short Course on Euclidean Geometry
  180.    wt: 5:   3 Lengths and Areas on Maps and Plans
  181.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  182.    wt: 5:   11 Signed Number Addition and Addition Properties
  183.    wt: 5:   5 Fractions with Infinite Decimal Expansions
  184.    wt: 5:   E Long Division Methods more
  185.    wt: 5:   D Long Division Methods
  186.    wt: 5:   5 Distributive Law for Whole Numbers
  187.    wt: 5:   2 Combing Counts Addition Skills and Principles
  188.    wt: 5:   5 Areas of Rectangles Revisited
  189.    wt: 5:   3 Inequalities Algebraically
  190.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  191.    wt: 5:   3 Proportionality Examples
  192.    wt: 5:   2 Algebraic View
  193.    wt: 5:   1 What is Proportionality
  194.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  195.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  196.    wt: 5:   6 Compound Interest Forward and Backwards
  197.    wt: 5:   5 Triangle Area Formula Backwards
  198.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  199.    wt: 5:   1 Changing Calculations
  200.    wt: 5:   1 Equivalent Computation Rules
  201.    wt: 5:   5 Greater More Less Than Signs in General
  202.    wt: 5:   4 Comparison of Negative Numbers
  203.    wt: 5:   3 More and Less Than with Unlike Signs
  204.    wt: 5:   1 Real Numbers Comparison
  205.    wt: 5:   5 Rational Numbers More
  206.    wt: 5:   1 Whole and Natural Numbers
  207.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  208.    wt: 5:   2 GE II Comparison
  209.    wt: 5:   1 GE Substitution four examples
  210.    wt: 5:   2 Essentially one exercises three with solution
  211.    wt: 5:   Skill Development Notes
  212.    wt: 5:   9 Three Examples
  213.    wt: 5:   7 Two Examples
  214.    wt: 5:   6 Three Examples
  215.    wt: 5:   4 Two Examples
  216.    wt: 5:   3 Two Examples
  217.    wt: 5:   2 Three Examples
  218.    wt: 5:   12 Cone Cylinder Sphere Lesson Idea
  219.    wt: 5:   1 More and Less Than for Counts and Measures
  220.    wt: 5:   6 Simplification of Fractions with Units
  221.    wt: 5:   B Fractions and Two Term Ratios
  222.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  223.    wt: 5:   21 Reciprocals for Fractions and Wholes
  224.    wt: 5:   12 Fraction Comparison
  225.    wt: 5:   11 Simplification an Algebraic View
  226.    wt: 5:   9 Improper Fractions and Mixed Numbers
  227.    wt: 5:   6 Multiplication Algebraically Take II
  228.    wt: 5:   5 Equivalent Fractions
  229.    wt: 5:   4 Fraction Multiplication
  230.    wt: 5:   3 Unit fraction of a fraction
  231.    wt: 5:   2 Unit Fraction Multiplication
  232.    wt: 5:   B Integer Long Division Multiple Choices
  233.    wt: 5:   6 Multiplication by Natural Numbers
  234.    wt: 5:   Long Division Backwards more
  235.    wt: 5:   Long Division Backward
  236.    wt: 5:   Division with Counts and Length
  237.    wt: 5:   12 Why Long Division Works Take III
  238.    wt: 5:   9 Why Long Division Works Take II
  239.    wt: 5:   7 Long Divison Mistake Catching
  240.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  241.    wt: 5:   Subtraction with J Conversions Example
  242.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  243.    wt: 5:   5 A Tip for Efficent Subtraction
  244.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  245.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  246.    wt: 5:   A Related Material in Volume 3
  247.    wt: 5:   2 Indefinite Integrals Exercises
  248.    wt: 5:   4 Second derivative test exercise example
  249.    wt: 5:   34 Derivative of exponential function
  250.    wt: 5:   17 Derivatives of quotients of sine and cosine
  251.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  252.    wt: 5:   15 sine and cosine derivatives 3rd step
  253.    wt: 5:   8 Differentiation of polynomials
  254.    wt: 5:   3 Motivation for Limit Definition Take 2
  255.    wt: 5:   2 Motivation for Limit Definition Take 1
  256.    wt: 5:   11 Limits at infinity Three Examples
  257.    wt: 5:   8 Four Animated Examples
  258.    wt: 5:   4 Numerical properties
  259.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  260.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  261.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  262.    wt: 5:   2 Identifying Size and Position Place and Spatial Sense
  263.    wt: 4:   H LAMP Introduction Instructional Concepts
  264.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  265.    wt: 4:   7 logic review and decimals an odd combination
  266.    wt: 4:   links Education Resources online
  267.    wt: 4:   key notes and themes
  268.    wt: 4:   Mathematics Education Professors
  269.    wt: 4:   mathematics in context
  270.    wt: 4:   Education Reform Inconsistencies
  271.    wt: 4:   Secondary Three Mathematics
  272.    wt: 4:   Secondary Two Mathematics
  273.    wt: 4:   mathematics curriculum shifts
  274.    wt: 4:   geometric implications for algebra
  275.    wt: 4:   teaching tutoring algebraic reason
  276.    wt: 4:   three goals for Mathematics Education
  277.    wt: 4:   02 20 mathematics education references
  278.    wt: 4:   three kinds of reason in mathematics
  279.    wt: 4:   need for a mixed mathematics curriculum
  280.    wt: 4:   fairness and inductive principles for instruction
  281.    wt: 4:   words for mathematics instructor
  282.    wt: 4:   sign monoticity analysis example 4
  283.    wt: 4:   sign monoticity analysis example 3
  284.    wt: 4:   sign monoticity analysis example 2
  285.    wt: 4:   sign monoticity analysis example 1
  286.    wt: 4:   23 Inverse Functions
  287.    wt: 4:   22 Square Root function graphically
  288.    wt: 4:   20 Interchanging coordinates a reflection
  289.    wt: 4:   18 Vertical Line Rule and Method
  290.    wt: 4:   16 Increasing or decreasing on intervals
  291.    wt: 4:   15 Sign analysis of functions
  292.    wt: 4:   10 Interval Notation
  293.    wt: 4:   9 Set theory term relation possible origins
  294.    wt: 4:   7 Functions with finite domains
  295.    wt: 4:   3 Formula or function graphing exercise
  296.    wt: 4:   Introduction Reading Guide
  297.    wt: 4:   9 quadratics physical and further context
  298.    wt: 4:   7 Links Lessons Elsewhere
  299.    wt: 4:   2 Column Multiplication Method
  300.    wt: 4:   1 Polynomials Distributive Law
  301.    wt: 4:   11 arctan left inverse of tangent Graph
  302.    wt: 4:   8 arcsin left inverse of sine Graph
  303.    wt: 4:   9 Summary Degrees to Radians and back
  304.    wt: 4:   8 Radian Measures of Common Angles
  305.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  306.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  307.    wt: 4:   2 Radian Measure Numerical Value of one degree
  308.    wt: 4:   A Global Time and Navigation
  309.    wt: 4:   5 Head To Tail Arrow Addition
  310.    wt: 4:   4 graphing y=Asin(x c)
  311.    wt: 4:   3 graphing y=f(x c) plus K
  312.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  313.    wt: 4:   1 graphing y=f(x a)
  314.    wt: 4:   Triangle Angles Sum To 180 Degrees
  315.    wt: 4:   Straight Lines ASA Intersection Study More
  316.    wt: 4:   Straight Lines ASA Intersection Study
  317.    wt: 4:   Straight Lines Intersection of
  318.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  319.    wt: 4:   C Straight Lines Slope from Coordinates
  320.    wt: 4:   B Straight Line Slope Scaling Properties More
  321.    wt: 4:   A Straight Line Slope Scaling Properties
  322.    wt: 4:   12 Straight Lines Graphing mx plus b
  323.    wt: 4:   11 Straight Lines Graphing y=mx
  324.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  325.    wt: 4:   17 tangent function angle sum formulas
  326.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  327.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  328.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  329.    wt: 4:   29 secant cosecant and cotangent for acute angles
  330.    wt: 4:   27 Logarithmic use of products of sines and cosines
  331.    wt: 4:   26 Formulas for products of sines and cosines
  332.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  333.    wt: 4:   21 sine and cosine Half Angle Formulas
  334.    wt: 4:   20 sine and cosine Double Angle Formulas
  335.    wt: 4:   17G Pythagorean Theorem Converse
  336.    wt: 4:   17E Trig Formulas for dot and cross Products
  337.    wt: 4:   17D cis formulas for sine cosines and tangent
  338.    wt: 4:   17C sine and cosine double triple angle formulas
  339.    wt: 4:   17A The complex number valued trig function cis
  340.    wt: 4:   16 Right Triangle Complementary Angle Relations
  341.    wt: 4:   15 sine cosine Complementary Angle Relations
  342.    wt: 4:   13 Graph of tangent function many periods
  343.    wt: 4:   11 tangent function undefined when terminal side vertical
  344.    wt: 4:   10 Graphs of sines and cosines many periods
  345.    wt: 4:   7 period of sine and cosine
  346.    wt: 4:   6 sines and cosines for reference angle 30 degrees
  347.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  348.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  349.    wt: 4:   3 sines and cosines for reference angle 90 degrees
  350.    wt: 4:   16 References and Originality Question
  351.    wt: 4:   5 An Easy Proof of the Distributive Law
  352.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  353.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  354.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  355.    wt: 4:   Why Trigonometry the whyslopes view
  356.    wt: 4:   12 Triangles Similarity More Problems
  357.    wt: 4:   11 Triangle Similarity Missing Side Problem
  358.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  359.    wt: 4:   9 Similarity of Triangles Usual Criteria
  360.    wt: 4:   6 Geometric Diagrams in Class
  361.    wt: 4:   3 Similarity by Design with coordinates
  362.    wt: 4:   2 Similarity By Design
  363.    wt: 4:   12 Links Lessons elsewhere
  364.    wt: 4:   10 Midpoint of [a b] and [b a]
  365.    wt: 4:   6 Intersection of lines by solving linear systems
  366.    wt: 4:   4 Equations for lines three forms
  367.    wt: 4:   2 point slope equation for a line
  368.    wt: 4:   What is and is not here
  369.    wt: 4:   8 Distance Between Points on a Line
  370.    wt: 4:   4 Polar Coordinates to and from
  371.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  372.    wt: 4:   PS H Distributive Law For Complex Numbers
  373.    wt: 4:   21 Parallelograms
  374.    wt: 4:   19 Right Triangle Similarity
  375.    wt: 4:   18 Triangle Similarity Take 1
  376.    wt: 4:   17 Right Bisectors of Triangle Sides
  377.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  378.    wt: 4:   14 Parallel Lines Postulate
  379.    wt: 4:   13 Angle Side Angle Failure
  380.    wt: 4:   12 Side Angle Side Failure
  381.    wt: 4:   10 Dropping a perpendicular to line
  382.    wt: 4:   8 Isoceles Triangles
  383.    wt: 4:   7 Angle Side Angle
  384.    wt: 4:   4 Side Side Side
  385.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  386.    wt: 4:   4 Location of Point in Decimal Addition
  387.    wt: 4:   3 Location of Point in Decimal Multiplication
  388.    wt: 4:   1 Fractions with Finite Decimal Expansions
  389.    wt: 4:   C Three Decimal Subtraction Methods
  390.    wt: 4:   A Decimal Addition Columm Methods
  391.    wt: 4:   8 Column Multiplication Methods in General
  392.    wt: 4:   7 Decimals Multiplication Methods Examples
  393.    wt: 4:   6 Column Methods for Decimal Multiplication
  394.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  395.    wt: 4:   3 Product Axioms Two Forms
  396.    wt: 4:   16 Real Numbers Comparison
  397.    wt: 4:   15 Real Number Division
  398.    wt: 4:   14 Real Number Multiplication
  399.    wt: 4:   13 Real Number Subtraction
  400.    wt: 4:   11 Real Number Addition
  401.    wt: 4:   10 Real Number Lengths and Signs
  402.    wt: 4:   9 Coordinates for Regions in Space
  403.    wt: 4:   8 Coordinates for Maps and Planes
  404.    wt: 4:   4 Rational Numbers
  405.    wt: 4:   3 Fractions
  406.    wt: 4:   More Exercises
  407.    wt: 4:   4 GE III Animated Examples
  408.    wt: 4:   1 Essentially One Unknown
  409.    wt: 4:   9 Volume of Cone
  410.    wt: 4:   8 Compound Interest Formula Evaluation
  411.    wt: 4:   7 Compound Interest Formula Introduction
  412.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  413.    wt: 4:   5 Box Volume Formula Example
  414.    wt: 4:   1 Written work formats for developing and showing skill
  415.    wt: 4:   7 Cautious or Safe Set Construction
  416.    wt: 4:   5 Product Builder Notation
  417.    wt: 4:   5 Talking about Numbers and Quantities
  418.    wt: 4:   4 A Brief Story of numbers and algebra
  419.    wt: 4:   3 Comparison of Negative Numbers
  420.    wt: 4:   2 More and Less Than with Unlike Signs
  421.    wt: 4:   5 Square Roots with primes more still
  422.    wt: 4:   4 Square Roots with primes more
  423.    wt: 4:   3 Properties of Square Roots with example
  424.    wt: 4:   2 Square Roots with Prime
  425.    wt: 4:   7 GCD and LCM from prime factorization
  426.    wt: 4:   1 Least Common Multiples LCM Introduction
  427.    wt: 4:   5 lengths and signs of numbers
  428.    wt: 4:   7 Converting or Changing Units
  429.    wt: 4:   4 Fractions with Units
  430.    wt: 4:   3 Multiplying Units and Numbers
  431.    wt: 4:   2 Equality and Units
  432.    wt: 4:   22 Complex Compound Fractions
  433.    wt: 4:   20 Dividing Fractions the Why
  434.    wt: 4:   19 Dividing Fractions How TO
  435.    wt: 4:   17 Efficient Ways to Add and Subtract
  436.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  437.    wt: 4:   14 Adding and Subtracting with Like Denominators
  438.    wt: 4:   8 Numerals Fractionals Quantals Take II
  439.    wt: 4:   7 Numerals Fractionals Quantals
  440.    wt: 4:   6 Multiplication of Mixed Numbers
  441.    wt: 4:   1 What is a fraction Take II
  442.    wt: 4:   1 What is a fraction
  443.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  444.    wt: 4:   13 Subtraction with Additive Inverse
  445.    wt: 4:   11 Adding Integers Formulas and Examples
  446.    wt: 4:   10 Integer Multiplication Formulas
  447.    wt: 4:   8 Multiplication by Signed Numbers Integers
  448.    wt: 4:   7 Multiplication by Signs
  449.    wt: 4:   4 Adding Movements wiht opposite directions
  450.    wt: 4:   3 Adding Movements with same direction
  451.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  452.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  453.    wt: 4:   7 Calculator Usage Notes and Cautions
  454.    wt: 4:   4 video Prime Factorization Introduction
  455.    wt: 4:   4 Division with 2 Digit Divsors
  456.    wt: 4:   3 Division Single Digit Divisor Example
  457.    wt: 4:   2 Division with Single Digit Divisors
  458.    wt: 4:   1 Divsion Physical Examples
  459.    wt: 4:   Video Power Notation in Decimal Expansion
  460.    wt: 4:   Subtraction Another Video Lesson
  461.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  462.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  463.    wt: 4:   6. Counting and adding units and mixed units
  464.    wt: 4:   4. How to add with decimals B with conversions
  465.    wt: 4:   3. How to add with decimals A sans conversions
  466.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  467.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  468.    wt: 4:   A Related lessons in Volume 3
  469.    wt: 4:   3 Second derivative test
  470.    wt: 4:   2 Second derivative test prequel
  471.    wt: 4:   31 Derivatives of inverse functions
  472.    wt: 4:   29 Chain Rule Optional Reading
  473.    wt: 4:   28 Chain Rule Preparation for a Proof
  474.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  475.    wt: 4:   26 Chain Rule Recognising outer inner functions
  476.    wt: 4:   25 Chain Rule Animated Examples Continued
  477.    wt: 4:   22 Chain Rule for polynomials
  478.    wt: 4:   21 Chain Rule for powers
  479.    wt: 4:   19 Chain Rule for linear functions
  480.    wt: 4:   18 Chain Rule Introduction
  481.    wt: 4:   14 sine and cosine derivatives 2nd step
  482.    wt: 4:   13 sine and cosine derivatives 1st step
  483.    wt: 4:   7 Animated Differentiation Examples
  484.    wt: 4:   5 Product Rule
  485.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  486.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  487.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  488.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  489.    wt: 4:   Postscript B More on Story Telling and Reason
  490.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  491.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  492.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  493.    wt: 4:   O On Learning Mathematics and Science
  494.    wt: 4:   Chapter 6 More Algebra and Geometry
  495.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  496.    wt: 4:   Chapter 3 Algebra Starter Lessons
  497.    wt: 4:   7 Games and Activities for Instruction
  498.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  499.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  500.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  501.    wt: 4:   More Algebra and Slope based Calculus Preview
  502.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  503.    wt: 3:   Appendix 1 primary and preschool mathematic
  504.    wt: 3:   E LAMP Introduction Modern Mathematics
  505.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  506.    wt: 3:   Ramblings Introduction Algebra Essay
  507.    wt: 3:   11 pure mathematics
  508.    wt: 3:   6 polynomials etc
  509.    wt: 3:   4 algebra
  510.    wt: 3:   three goals to set for students
  511.    wt: 3:   permissions for teachers
  512.    wt: 3:   site origins
  513.    wt: 3:   About site lesson plans
  514.    wt: 3:   teacher certification
  515.    wt: 3:   modern education
  516.    wt: 3:   what should be learnt and When
  517.    wt: 3:   Postscript 2007 01 10
  518.    wt: 3:   talk the algebra talk
  519.    wt: 3:   What to Tell Students
  520.    wt: 3:   Lessening Algebra Difficulties
  521.    wt: 3:   the trouble with algebra
  522.    wt: 3:   05 13 OldSiteEntrancePage
  523.    wt: 3:   04 29 New Mathematics Curriculum
  524.    wt: 3:   04 25 when to stop or suspend mathemat
  525.    wt: 3:   three aims for mathematics students
  526.    wt: 3:   standards for course material
  527.    wt: 3:   Operational Viewpoint to Value
  528.    wt: 3:   formal or informal peer review
  529.    wt: 3:   Theory of Knowledge
  530.    wt: 3:   Different Kinds of Reasoning in maths
  531.    wt: 3:   Four ways to improve education reform
  532.    wt: 3:   Leaner mathematics curriculum
  533.    wt: 3:   education an empirical art
  534.    wt: 3:   chapitre 04 05 Implication versus suggestion
  535.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  536.    wt: 3:   13 Addition and Addition Tables
  537.    wt: 3:   5 Patience Please for Yourself and Your Charges
  538.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  539.    wt: 3:   7 quadratic formulla derivation
  540.    wt: 3:   5 quadratics completing the square
  541.    wt: 3:   3 quadratics factoring by inspection
  542.    wt: 3:   8 Notes for instructors or tutors
  543.    wt: 3:   7 Radian Measures in special Triangles
  544.    wt: 3:   6 Radian Measure to Degrees
  545.    wt: 3:   5 Degrees to Radian Measure
  546.    wt: 3:   15 Dot and Cross Product
  547.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  548.    wt: 3:   12 From Applied To Pure Mathematics
  549.    wt: 3:   11 Component Method
  550.    wt: 3:   10 Parallelogram Addition Method
  551.    wt: 3:   6 Vectors with Coordinates
  552.    wt: 3:   3 Navigation with Arrows or Vectors
  553.    wt: 3:   Vector and Complex Number Applet
  554.    wt: 3:   32 seven rows of pascals triangle
  555.    wt: 3:   31 basic secant cosecant cotangent trig identities
  556.    wt: 3:   28 Expressing products of sines cosines as sums
  557.    wt: 3:   24 tangent Angle Difference Formula
  558.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  559.    wt: 3:   18 sum of sinusoidal waves as a single wave
  560.    wt: 3:   17F Law of cosines
  561.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  562.    wt: 3:   2 Quadrant I reference Angles
  563.    wt: 3:   20 N th Roots of Complex Numbers
  564.    wt: 3:   19 N th Roots of Unity
  565.    wt: 3:   18 Sixth Roots of Unity
  566.    wt: 3:   17 Cube Roots of unity
  567.    wt: 3:   15 Pythagorean Theorem Converse
  568.    wt: 3:   13 Trig Formulas for dot and cross Products
  569.    wt: 3:   12 cis formulas for sine cosines and tangent
  570.    wt: 3:   11 sine and cosine double triple angle formulas
  571.    wt: 3:   9 The complex number valued trig function cis
  572.    wt: 3:   8 Unit Circle Development of Trigonometry
  573.    wt: 3:   7 Second Way to Calculate Products
  574.    wt: 3:   4 Multiplication Properties
  575.    wt: 3:   3 Addition Properties
  576.    wt: 3:   8 Triangles Cascade Problem Solving
  577.    wt: 3:   7 Trignometric Ratios Unit Circle
  578.    wt: 3:   1 Angle Measurement with Degrees
  579.    wt: 3:   Four Simple Exercises
  580.    wt: 3:   11 A Partial Summary
  581.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  582.    wt: 3:   8 Mid Point Formula
  583.    wt: 3:   3 Slope product for perpendicular lines
  584.    wt: 3:   13 Pythagorean spatial distance formulas
  585.    wt: 3:   12 Spatial Coordinates
  586.    wt: 3:   11 Triangle Inequality
  587.    wt: 3:   10 Pythagorean plane distance formula
  588.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  589.    wt: 3:   7 Complex Numbers Appetizer
  590.    wt: 3:   3 Rectangular Coordinates Review
  591.    wt: 3:   2 Cartesian Coordinates with signs
  592.    wt: 3:   1 Cartesian Coordinates sans signs
  593.    wt: 3:   4 Angles on Maps Plans drawn to scale
  594.    wt: 3:   About Folder Contents
  595.    wt: 3:   A Modular and Remainder Arithmetic
  596.    wt: 3:   26 More Less Greater Than Comparison
  597.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  598.    wt: 3:   23 Distributive Law Two Derivations
  599.    wt: 3:   22 Multiplication of Signed Numbers
  600.    wt: 3:   21 Addition of Multiples of a Single Vector
  601.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  602.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  603.    wt: 3:   15 Head to Tails in place Addition Associative
  604.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  605.    wt: 3:   13 Arrows and Vectors in a Plane
  606.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  607.    wt: 3:   9 Division with Digits after Decimal Point
  608.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  609.    wt: 3:   2 Counting Digits in Decimal Multiplication
  610.    wt: 3:   4 Commutative Law Groups Counting Form
  611.    wt: 3:   3 Multiplicative Counting Skills Principles
  612.    wt: 3:   1 The Counting Origins of Numbers
  613.    wt: 3:   12 Real Number Additive Inverses or Negatives
  614.    wt: 3:   7 Real Numbers as Line Cordinates
  615.    wt: 3:   6 Unsigned Real Numbers
  616.    wt: 3:   2 Integers
  617.    wt: 3:   Simple Exercises
  618.    wt: 3:   4 Solving a triangular system exercise
  619.    wt: 3:   3 Solving triangular system example
  620.    wt: 3:   Using Letters for Physical Quantities
  621.    wt: 3:   Formula Usage Show Work Format
  622.    wt: 3:   13 Naming Identifying Formulas with Words
  623.    wt: 3:   11 Volume of Sphere
  624.    wt: 3:   10 Volume of Pyramid
  625.    wt: 3:   4 Circle Area Formula Example
  626.    wt: 3:   3 Triangle Area Formula Example
  627.    wt: 3:   2 Another Rectangle Area Formula Example
  628.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  629.    wt: 3:   9 Sets in Probability and Statistics
  630.    wt: 3:   6 Power Set Notation
  631.    wt: 3:   4 Subset Builder Notation
  632.    wt: 3:   6 Three Notions of What is a Variable
  633.    wt: 3:   1 Three Skills For Algebra
  634.    wt: 3:   About Folder Contents
  635.    wt: 3:   4 Greater More Less Than Signs in General
  636.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  637.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  638.    wt: 3:   13 GCD from given Prime Factorization
  639.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  640.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  641.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  642.    wt: 3:   5 Common Divisors 60 45 via Prime
  643.    wt: 3:   4 LCM of 8 and 10 via Prime
  644.    wt: 3:   2 Least Common Multiple LCM intro via list method
  645.    wt: 3:   3 Counting with Tables and Trees II
  646.    wt: 3:   2 Counting with Tables and Trees I
  647.    wt: 3:   1 Counting and Counting Methods I
  648.    wt: 3:   D Three Term Ratios
  649.    wt: 3:   21 Working With Signs
  650.    wt: 3:   18 Efficient Ways to Multiply
  651.    wt: 3:   D Remainders Modulo 11 Pair Rule
  652.    wt: 3:   A Associative Law Theorectical Note
  653.    wt: 3:   12 Adding Integers More Examples
  654.    wt: 3:   9 Multiplying Integers
  655.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  656.    wt: 3:   1 Integers as Coordinates
  657.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  658.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  659.    wt: 3:   20 Uniqueness of Prime Factorization
  660.    wt: 3:   19 video Prime Factorization Unique
  661.    wt: 3:   18 video Count Factors given Prime Factorization
  662.    wt: 3:   17 Identify and Count Factors using Primes
  663.    wt: 3:   15 video Factors of 20 using Prime Factorization
  664.    wt: 3:   12 LCD GCD and LCM using Primes
  665.    wt: 3:   10 video Prime Factorization upto 23 squared
  666.    wt: 3:   9 video Prime Factorization upto 19 squared
  667.    wt: 3:   8 video Prime Factorization upto 19
  668.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  669.    wt: 3:   3 video Primes and Composites from 9 times table
  670.    wt: 3:   2 Prime and Composites less than 16
  671.    wt: 3:   11 Another Single Digit Divisor Example
  672.    wt: 3:   8 Correcting the Mistake
  673.    wt: 3:   D Decimal Multiplication Methods Derived
  674.    wt: 3:   C Counting Areas with Powers of Ten
  675.    wt: 3:   B Powers of Ten
  676.    wt: 3:   A Elementary Basis for Multiplication Methods
  677.    wt: 3:   6 Multiplication Commutes Order Not Important
  678.    wt: 3:   4 Two and Three Digit Multipliers
  679.    wt: 3:   3 More One Digit Multipliers
  680.    wt: 3:   2 One Digit Multipliers
  681.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  682.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  683.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  684.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  685.    wt: 3:   9 22 Minute Subtraction Review Video
  686.    wt: 3:   8 Subtraction with Units of Measure
  687.    wt: 3:   2 Subtraction Easy Case Examples
  688.    wt: 3:   8 What skills and work habits to require
  689.    wt: 3:   7 Adding decimal fractions using decimal point
  690.    wt: 3:   5. How to add decimals C. Examples
  691.    wt: 3:   1. Explaining Addition Table
  692.    wt: 3:   11 Place Value SI Standard International way
  693.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  694.    wt: 3:   Quick history of numbers and algebra
  695.    wt: 3:   Exact Arithmetic Wholes and Fractions
  696.    wt: 3:   Expression Evaluation how to show work
  697.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  698.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  699.    wt: 3:   6 How long is a million seconds
  700.    wt: 3:   5 Conversion Arithmetic
  701.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  702.    wt: 3:   A Chain Rule Real Player video examples
  703.    wt: 3:   36 Cube root derivative animated
  704.    wt: 3:   33 Chain Rule Real Player video examples
  705.    wt: 3:   30Chain Rule A Proof
  706.    wt: 3:   24 Chain Rule Animated Examples
  707.    wt: 3:   23 Chain Rule in general
  708.    wt: 3:   20 Chain Rule for Pulley Systems
  709.    wt: 3:   12 Quotient rule examples
  710.    wt: 3:   11 Quotient rule
  711.    wt: 3:   10 Power rule for negative integers
  712.    wt: 3:   9 Reciprocal rule
  713.    wt: 3:   6 Power rule from product rule
  714.    wt: 3:   4 Sum Rule
  715.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  716.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  717.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  718.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  719.    wt: 3:   Appendix E. How To Study Mathematics and Why
  720.    wt: 3:   Chapter 31 Direct and Indirect Reason
  721.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  722.    wt: 3:   Chapter 25. Mathematical Induction Examples
  723.    wt: 3:   Chapter 19. Functions and Sets
  724.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  725.    wt: 3:   Chapter 10 Describing and Changing Calculations
  726.    wt: 3:   Chapter 4 Longer Chains of Reason
  727.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  728.    wt: 3:   Postscript B Mathematics Education References
  729.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  730.    wt: 3:   Chapter 2 For and Against Mathematics
  731.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  732.    wt: 3:   Postscript C Consistency as a Tool for Reason
  733.    wt: 3:   Chapter 24 Direct and Indirect Reason
  734.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  735.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  736.    wt: 3:   Chapter 7 Longer Chains of Reason
  737.    wt: 3:   Chapter 5 Deception
  738.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  739.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  740.    wt: 3:   N Improving Marks on Tests and Finals
  741.    wt: 3:   J. More on written work and showing skill
  742.    wt: 3:   E. When and how to correct errors
  743.    wt: 3:   How to Build Skills and Confidence
  744.    wt: 3:   Chapter 8 Skipped Topics and Why
  745.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  746.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  747.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  748.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  749.    wt: 3:   Helping the Blind in Logic and Mathematics
  750.    wt: 3:   Mathematics Education References
  751.    wt: 3:   Mathematics Education References
  752.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  753.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  754.    wt: 2:   K LAMP Musings Science Education
  755.    wt: 2:   J LAMP Introduction Extrinsic Origins
  756.    wt: 2:   I LAMP Introduction Study Habits
  757.    wt: 2:   G LAMP Introduction Problem Solving Skills
  758.    wt: 2:   F LAMP Introduction Prerequisites
  759.    wt: 2:   A Introduction Objectives
  760.    wt: 2:   Skills Chapter 3 Algebra
  761.    wt: 2:   Skills Chapter 0 Introduction
  762.    wt: 2:   10 statistics
  763.    wt: 2:   9 combinatorics probability sets
  764.    wt: 2:   8 analytic geometry etc
  765.    wt: 2:   3 Euclidean Geometry Leanly
  766.    wt: 2:   2 arithmetic with signed numbers
  767.    wt: 2:   1 arithmetic with unsigned numbers
  768.    wt: 2:   What is POMME
  769.    wt: 2:   why bother
  770.    wt: 2:   which way to go
  771.    wt: 2:   website reviews
  772.    wt: 2:   Teach the teachers plus goals
  773.    wt: 2:   Math Ed if it must be short make it lean effective
  774.    wt: 2:   Applied Maths Program14092009 POMME variant
  775.    wt: 2:   activities for students
  776.    wt: 2:   site eurekas
  777.    wt: 2:   learning takes time
  778.    wt: 2:   grouping students according to ability
  779.    wt: 2:   five decades make a difference
  780.    wt: 2:   Maps Plans Drawings
  781.    wt: 2:   how letters appear
  782.    wt: 2:   three difficulties
  783.    wt: 2:   teaching tips
  784.    wt: 2:   02 21 words for teachers
  785.    wt: 2:   cultivating intelligence
  786.    wt: 2:   How to be a better instructor
  787.    wt: 2:   Prequel In For A Penny In For A Pound
  788.    wt: 2:   chapitre 07 01 principle D induction mathematique
  789.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  790.    wt: 2:   chapitre 05 00 Deception
  791.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  792.    wt: 2:   C Electromotive force conventional current02
  793.    wt: 2:   B Electromotive force conventional current01
  794.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  795.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  796.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  797.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  798.    wt: 2:   16 Secondary Mathematics Tips
  799.    wt: 2:   14 Multiplication and Times Tables
  800.    wt: 2:   12 Goals and Objectives For Mathematics
  801.    wt: 2:   11 Help and Defend Your Child or Teens Education
  802.    wt: 2:   Ages 6 to 7
  803.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  804.    wt: 2:   A Quadratics Summary
  805.    wt: 2:   10 quadratic exercises
  806.    wt: 2:   8 quadratics backward use of various formulas
  807.    wt: 2:   6 quadratics numerical approach
  808.    wt: 2:   4 quadratics difference of two squares
  809.    wt: 2:   2 quadratics graphing in general
  810.    wt: 2:   1 quadratics graphing exercises
  811.    wt: 2:   Quadratics in 10 steps
  812.    wt: 2:   13 Velocity Vectors in Physics
  813.    wt: 2:   9 Head to Tail Coordinate View
  814.    wt: 2:   8 Parallel Vectors
  815.    wt: 2:   4 Resultant of a Sum of Movements
  816.    wt: 2:   2 Signed Coordinates
  817.    wt: 2:   1 Unsigned Coordinates
  818.    wt: 2:   14 Law of cosines
  819.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  820.    wt: 2:   6 Field Properties of Complex Number
  821.    wt: 2:   2 Complex Numbers made easier we hope
  822.    wt: 2:   1 Rectangular Polar Coordinates Review
  823.    wt: 2:   Appetizer A Complex Number Applet
  824.    wt: 2:   A Measurement with Ruler Proper Use
  825.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  826.    wt: 2:   6 Figuring with Maps Not to Scale
  827.    wt: 2:   2 Measuring Area Directly
  828.    wt: 2:   1 Length Measurement
  829.    wt: 2:   musings do not puiblish real numbers
  830.    wt: 2:   A Signed Number Arithmetic Review
  831.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  832.    wt: 2:   19 Signed Multiples of Vectors
  833.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  834.    wt: 2:   12 Real Numbers Line Signed Coordinates
  835.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  836.    wt: 2:   8 Sets of Numbers
  837.    wt: 2:   3 Counting with Sets etc
  838.    wt: 2:   2 Venn Diagrams
  839.    wt: 2:   1 Finite Sets
  840.    wt: 2:   3 Adding Words To Arithmetic
  841.    wt: 2:   2 What is a Variable
  842.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  843.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  844.    wt: 2:   8 GCD from Euclidean Algorithm
  845.    wt: 2:   6 GCD from Prime
  846.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  847.    wt: 2:   12 GCD 2700 288 via Prime
  848.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  849.    wt: 2:   4 Counting with Trees Product Rule Take I
  850.    wt: 2:   11 What are real lengths and numbers
  851.    wt: 2:   7 negative and additive inverse
  852.    wt: 2:   4 signed coordinates for regions in space
  853.    wt: 2:   3 signed coordinates for maps and planes
  854.    wt: 2:   2 signed and unsigned numbers as coordinates
  855.    wt: 2:   26 Divisibility by 2 3 5 Example
  856.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  857.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  858.    wt: 2:   23 Remainder Arithmetic Modulo 2
  859.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  860.    wt: 2:   21 Remainder Arithmetic Modulo 3
  861.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  862.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  863.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  864.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  865.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  866.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  867.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  868.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  869.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  870.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  871.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  872.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  873.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  874.    wt: 2:   5 Remainder Arithmetic Modulo 5
  875.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  876.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  877.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  878.    wt: 2:   1 Remainder Arithmetic Modulo 10
  879.    wt: 2:   16 video Factors of 980 using prime
  880.    wt: 2:   14 video Factors of 24 Take II
  881.    wt: 2:   13 video Factors of 24 using prime
  882.    wt: 2:   11 Efficient Square Rule Use
  883.    wt: 2:   1 video how Products are bigger than factor
  884.    wt: 2:   1 Why 3 times 5 gives 15
  885.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  886.    wt: 2:   2 Decimal Counting Practices
  887.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  888.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  889.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  890.    wt: 2:   Formula Evaluation how to show work
  891.    wt: 2:   About folder contents
  892.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  893.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  894.    wt: 2:   F.1 What Functions are Continuous
  895.    wt: 2:   D2 Limits of Monotone Sequences
  896.    wt: 2:   PostScript For and Against Decimal Perspectives
  897.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  898.    wt: 2:   Postscript More on Better Performance
  899.    wt: 2:   Appendix D. What to do in School and Why
  900.    wt: 2:   Chapter 23. Notation For Sums
  901.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  902.    wt: 2:   Chapter 20. Degrees and Radians
  903.    wt: 2:   Chapter 18. Rules for Algebra
  904.    wt: 2:   Chapter 15. Solving Linear Equations
  905.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  906.    wt: 2:   Chapter 13. Second Reading Guide
  907.    wt: 2:   Chapter 12. Shorthand Usage Guide
  908.    wt: 2:   Chapter 11. Why Shorthand
  909.    wt: 2:   Chapter 8 Three Skills For Algebra
  910.    wt: 2:   Solutions For Arithmetic Exercises
  911.    wt: 2:   Chapter 3 Chains of Reason
  912.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  913.    wt: 2:   Chapter 11 Elementary Instruction
  914.    wt: 2:   Chapter 10 Transition
  915.    wt: 2:   Chapter 8 Modern Instruction
  916.    wt: 2:   Chapter 5 Four References
  917.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  918.    wt: 2:   Chapter 3 Algebra Difficulties
  919.    wt: 2:   Chapter 1 Introduction
  920.    wt: 2:   Chapter 18 Sense and Knowledge
  921.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  922.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  923.    wt: 2:   Chapter 10 Responsibility
  924.    wt: 2:   Chapter 6 Chains of Reason
  925.    wt: 2:   Chapter 1 Introduction
  926.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  927.    wt: 2:   S Adding words to algebra
  928.    wt: 2:   R Why Learn Mathematics Skills
  929.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  930.    wt: 2:   N Mathematics Prepare for College Studies
  931.    wt: 2:   I. Logic and language skills
  932.    wt: 2:   H more Routine to non routine problem solving
  933.    wt: 2:   H Jigsaw puzzles and problem solving
  934.    wt: 2:   G. Written work formats for developing and showing skill
  935.    wt: 2:   D. Check work a must with a caution
  936.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  937.    wt: 2:   Chapter 2 Why Sets
  938.    wt: 2:   Chapter 1 Arithmetic
  939.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  940.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  941.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  942.    wt: 2:   Implementation Notes
  943.    wt: 2:   Systematic Algebra Skill Development Missing Links
  944.    wt: 2:   Which Way To Go
  945.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  946.    wt: 2:   The Math Forum and Site Content
  947.    wt: 1:   Appendix 2 primary school Arithmetic 01
  948.    wt: 1:   Skills Chapter 5 Calculus
  949.    wt: 1:   Skills Chapter 4 Logic
  950.    wt: 1:   Ramblings Extrinsic numbers theory
  951.    wt: 1:   Skills Chapter 2 Geometry
  952.    wt: 1:   Skills Chapter 1 Arithmetic
  953.    wt: 1:   chapitre 12 00 les iles et division
  954.    wt: 1:   chapitre 06 00 Chaines de la raison
  955.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  956.    wt: 1:   chapitre 04 08 Limitations et benefices
  957.    wt: 1:   chapitre 04 04 Parlons de la logique
  958.    wt: 1:   chapitre 04 00 Les regles d implication
  959.    wt: 1:   chapitre 02 00 La Communication des idees
  960.    wt: 1:   chapitre 01 00 Introduction
  961.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  962.    wt: 1:   problemes responses
  963.    wt: 1:   Trois Notions qui menent a algebre
  964.    wt: 1:   deux definitions pour variable
  965.    wt: 1:   E Energy Power05
  966.    wt: 1:   2 Conductance Resistance Duality02
  967.    wt: 1:   1 Conductance Resistance Duality01
  968.    wt: 1:   F Wire Resistance Calculation04
  969.    wt: 1:   E Wire Resistance Calculation03
  970.    wt: 1:   D Wire Resistance Calculation02
  971.    wt: 1:   C Wire Resistance Calculation01
  972.    wt: 1:   2 Unlike resistors in parallel01
  973.    wt: 1:   E Kirchoffs Second Law
  974.    wt: 1:   D Kirchoff First Law
  975.    wt: 1:   Home Tutoring and Home Schooling
  976.    wt: 1:   24 Standards For Skill Develoment Take II
  977.    wt: 1:   24 Standards For Skill Develoment
  978.    wt: 1:   22 Student Centered Highschool Mathematics
  979.    wt: 1:   18 Primary School Mathematics
  980.    wt: 1:   17 Math Booklets for children and young teenagers
  981.    wt: 1:   10 Ends values for work study instruction
  982.    wt: 1:   9 Streaming by Student Cooperation
  983.    wt: 1:   7 Student Motivation
  984.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  985.    wt: 1:   4 Learning Takes Time and Effort
  986.    wt: 1:   2 Reading and Writing Skills
  987.    wt: 1:   Ages 12 to 14 Skills with take home value
  988.    wt: 1:   Ages 12 to 14 Geometry
  989.    wt: 1:   Ages 12 to 14 Arithmetic
  990.    wt: 1:   Ages 10 to 12 Geometry
  991.    wt: 1:   Ages 10 to 12 Arithmetic
  992.    wt: 1:   Ages 9 to 10
  993.    wt: 1:   Ages 8 to 9
  994.    wt: 1:   Ages 7 to 8
  995.    wt: 1:   Ages 4 plus to 5 plus
  996.    wt: 1:   Ages 3 plus to 4 plus
  997.    wt: 1:   arithmetic videos Real Player Format
  998.    wt: 1:   10 dividing signed numbers
  999.    wt: 1:   9 subtracting signed numbers
  1000.    wt: 1:   8 multiplying signed numbers
  1001.    wt: 1:   6 adding signed numbers
  1002.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  1003.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  1004.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  1005.    wt: 1:   The 20 Times Table
  1006.    wt: 1:   The 12 Times Table Visually
  1007.    wt: 1:   015 School and work day counting tables
  1008.    wt: 1:   012 Division of Time Intervals by Time Intervals
  1009.    wt: 1:   011 Division of Time Intervals By Numbers
  1010.    wt: 1:   010 Repeated Addition of Time Intervals
  1011.    wt: 1:   8 Addition of Time Intervals via subtotaling
  1012.    wt: 1:   7 Addition of Time Intervals
  1013.    wt: 1:   4 Mixing and Changing Units of Time
  1014.    wt: 1:   3 Units and Lengths of Time
  1015.    wt: 1:   2 Time and Date Matters in School
  1016.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1017.    wt: 1:   G.5 Motions With Bounded Velocities
  1018.    wt: 1:   G.3 Constant Difference Theorem Proof
  1019.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1020.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1021.    wt: 1:   F.5a Equicontinuity Theorems
  1022.    wt: 1:   E2 Algebraic Properties of Limits
  1023.    wt: 1:   E1 Error Control Inequalities
  1024.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1025.    wt: 1:   A1. Introduction
  1026.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  1027.    wt: 1:   Chapter 23 Links To Trigonometry
  1028.    wt: 1:   Chapter 21 Arrow Addition
  1029.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  1030.    wt: 1:   Chapter 18. Slopes Areas Integration
  1031.    wt: 1:   Chapter 17. Area Approximation
  1032.    wt: 1:   Chapter 16. Velocity Approximation
  1033.    wt: 1:   Chapter 15. Slope Approximation
  1034.    wt: 1:   Chapter 13. Acceleration
  1035.    wt: 1:   Chapter 12. Units and Slopes
  1036.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1037.    wt: 1:   Chapter 10 Slopes and Units
  1038.    wt: 1:   Chapter 8. Slope Interpretation
  1039.    wt: 1:   Chapter 7 Slopes and Velocity
  1040.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1041.    wt: 1:   Chapter 5. Slope Sign Tests
  1042.    wt: 1:   Chapter 2. Slopes and Ski Trails
  1043.    wt: 1:   Chapter 1.Introduction
  1044.    wt: 1:   Postscript For Better Performance
  1045.    wt: 1:   Appendix C. How to Read
  1046.    wt: 1:   Appendix B. How To Learn
  1047.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1048.    wt: 1:   Chapter 30 Truth Tables
  1049.    wt: 1:   Chapter 28 Occurrence Tables
  1050.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1051.    wt: 1:   Chapter 21. Third Reading Guide
  1052.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1053.    wt: 1:   Chapter 16. Painless Theorem Proving
  1054.    wt: 1:   Postscript What is a Variable
  1055.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1056.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1057.    wt: 1:   Chapter 6 Change of Language
  1058.    wt: 1:   Foreword
  1059.    wt: 1:   Annotated Links to Material Elsehwere
  1060.    wt: 1:   Postscript A Three Remarks
  1061.    wt: 1:   Chapter 12 Four Phases
  1062.    wt: 1:   Chapter 9 The Two Ends
  1063.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1064.    wt: 1:   Foreword
  1065.    wt: 1:   Postscript A Story Telling
  1066.    wt: 1:   Chapter 23 Truth Tables
  1067.    wt: 1:   Chapter 21 Occurrence Tables
  1068.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1069.    wt: 1:   Chapter 15 Objective Processes
  1070.    wt: 1:   Chapter 11 Accidental Patterns
  1071.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1072.    wt: 1:   Chapter 8 Change of Language
  1073.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1074.    wt: 1:   Chapter 2 Skill Development
  1075.    wt: 1:   Three Remarks
  1076.    wt: 1:   Foreword
  1077.    wt: 1:   M Words to extend arithmetic
  1078.    wt: 1:   L Skills with take home value
  1079.    wt: 1:   F. The student teacher tutor feedback loop
  1080.    wt: 1:   C. Domino effect of being careful
  1081.    wt: 1:   B. Domino effect of errors
  1082.    wt: 1:   A. Skill has to be seen to believed
  1083.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1084.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1085.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1086.    wt: 1:   Road Safety Questions
  1087.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  1088.    wt: 11:   8 Formulas for Fractional Exponents with Logarithms
  1089.    wt: 11:   7 Formulas for Roots with Logarithms Derivation
  1090.    wt: 11:   6 Formulas for Even and Odd Roots with Logarithms
  1091.    wt: 11:   5 Natural Logarithm Calculator Exercises
  1092.    wt: 11:   5 Algebraic Solutions Introduction
  1093.    wt: 10:   10 Exponential Growth and Decay Models
  1094.    wt: 10:   9 Formulas for Real Exponents with Logarithms

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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

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

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

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