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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

86 matches:

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

Web Page Search

1128 matches:

  1.    wt: 9:   Math Ed if it must be short make it lean effective
  2.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  3.    wt: 9:   6 Set Existence Formation and Notation
  4.    wt: 9:   5 Function notation for geometric transformations
  5.    wt: 9:   4 Function notation in and beyond mathematics
  6.    wt: 9:   5 Natural Logarithm Calculator Exercises
  7.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  8.    wt: 9:   4 Circle Sector Area proportional to Central Angle
  9.    wt: 9:   Proportionality of Line Segments From Parallel Transversals
  10.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  11.    wt: 9:   6 Tangent Function Inclination Angle Take 2
  12.    wt: 9:   10 Similarity of Triangles Equivalent of Two Criteria
  13.    wt: 9:   PS G Rotation Distributes over Addition
  14.    wt: 9:   PS D Addition with Cartesian Coordinates
  15.    wt: 9:   3 Lengths and Areas on Maps and Plans
  16.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  17.    wt: 9:   3 GE III Equation Addition and Multiplication
  18.    wt: 9:   9 Sets in Probability and Statistics
  19.    wt: 9:   8 Numerals Fractionals Quantals Take II
  20.    wt: 9:   A Associative Law Theorectical Note
  21.    wt: 9:   A Elementary Basis for Multiplication Methods
  22.    wt: 9:   1 Comparison and Subtraction Easy Direct Cases
  23.    wt: 9:   Practical Methods Ends and Values for Arithmetic
  24.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  25.    wt: 9:   8 Addition of Time Intervals via subtotaling
  26.    wt: 9:   7 Evaluation by immediate or delayed substitution
  27.    wt: 9:   Postscript Pythagorean Theorem yet another proof
  28.    wt: 9:   Appendix E. How To Study Mathematics and Why
  29.    wt: 9:   Chapter 25. Mathematical Induction Examples
  30.    wt: 9:   Chapter 9 Talking about Numbers or Quantities
  31.    wt: 9:   Chapter 14 Deductive and Empirical Views of Mathematics
  32.    wt: 9:   P Exact Arithmetic With Whole Numbers and Fractions
  33.    wt: 9:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  34.    wt: 9:   6 Measuring via counting or arithmetic the role of fractions
  35.    wt: 9:   3 Telling Tracking Time Temporal and More Place Sense
  36.    wt: 9:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  37.    wt: 9:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  38.    wt: 8:   three goals for Mathematics Education
  39.    wt: 8:   three aims for mathematics students
  40.    wt: 8:   Education in mathematics science and technology
  41.    wt: 8:   A Wire Resistance Qualitative01
  42.    wt: 8:   25 Mathematics Education Leaving A Good Impression
  43.    wt: 8:   13 Addition and Addition Tables
  44.    wt: 8:   17 Function maxima minima and their location
  45.    wt: 8:   9 quadratics physical and further context
  46.    wt: 8:   8 Formulas for Fractional Exponents with Logarithms
  47.    wt: 8:   11 arctan left inverse of tangent Graph
  48.    wt: 8:   10 arctan left inverse of tangent Definition
  49.    wt: 8:   3 Circle Arclengh Proportional to Central Angle
  50.    wt: 8:   Parallel Lines and Parallel Transversals
  51.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  52.    wt: 8:   Straight Lines ASA Intersection Study More
  53.    wt: 8:   Straight Lines ASA Intersection Study
  54.    wt: 8:   7 Tangent Function is odd on this domain
  55.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  56.    wt: 8:   30 unit circle calculation of six trigonometric functions
  57.    wt: 8:   16 Right Triangle Complementary Angle Relations
  58.    wt: 8:   11 tangent function undefined when terminal side vertical
  59.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  60.    wt: 8:   7 Exercises to test skill and concept mastery
  61.    wt: 8:   10 Pythagorean plane distance formula
  62.    wt: 8:   6 Polar Multiplication and Rotation
  63.    wt: 8:   PS E Multiplication with Polar Coordinates
  64.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  65.    wt: 8:   23 Distributive Law Two Derivations
  66.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  67.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  68.    wt: 8:   3 Location of Point in Decimal Multiplication
  69.    wt: 8:   4 Fraction Operations Axiomatic Development
  70.    wt: 8:   4 Rates Ratios and Proporitionality
  71.    wt: 8:   9 Circle Area and Perimeter Formula Backwards Forwards
  72.    wt: 8:   8 Pythagorean Relation Forwards Backwards
  73.    wt: 8:   4 Rectangle Area and Like Formulas Backwards
  74.    wt: 8:   3 Geometric Formulas and Function Notation
  75.    wt: 8:   3 Gaussian Elimination 3 unknowns first example
  76.    wt: 8:   6 Pythagorean Hypotenuse Calculation Example
  77.    wt: 8:   2 Another Rectangle Area Formula Example
  78.    wt: 8:   5 Talking about Numbers and Quantities
  79.    wt: 8:   2 Least Common Multiple LCM intro via list method
  80.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  81.    wt: 8:   1 Addition and Subtraction with Units
  82.    wt: 8:   17 Efficient Ways to Add and Subtract
  83.    wt: 8:   16 Addition Subtraction Comparision Compared
  84.    wt: 8:   15 Adding and Subtracting with Unlike Denominators
  85.    wt: 8:   14 Adding and Subtracting with Like Denominators
  86.    wt: 8:   6 Multiplication Algebraically Take II
  87.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  88.    wt: 8:   7 Calculator Usage Notes and Cautions
  89.    wt: 8:   6 Multiplication Commutes Order Not Important
  90.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  91.    wt: 8:   Exact Arithmetic Wholes and Fractions
  92.    wt: 8:   3 Motivation for Limit Definition Take 2
  93.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  94.    wt: 8:   PostScript For and Against Decimal Perspectives
  95.    wt: 8:   Chapter 18. Slopes Areas Integration
  96.    wt: 8:   Chapter 15. Algebraic Evaluation of Limits
  97.    wt: 8:   Chapter 26 What is in chapters 27 to 31
  98.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  99.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  100.    wt: 8:   Chapter 1 Introduction to Chapters 2 to 6
  101.    wt: 8:   Annotated Links to Material Elsehwere
  102.    wt: 8:   Postscript B Mathematics Education References
  103.    wt: 8:   Chapter 7 Two Treatments of Geometry
  104.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  105.    wt: 8:   Postscript C Consistency as a Tool for Reason
  106.    wt: 8:   Chapter 17 Objective Ways Trial and Error Discovery
  107.    wt: 8:   Chapter 11 Accidental Patterns
  108.    wt: 8:   Chapter 4 Implication Rules Forwards and Backwards
  109.    wt: 8:   Chapter 3 What is in chapters 4 to 8
  110.    wt: 8:   F. The student teacher tutor feedback loop
  111.    wt: 8:   Chapter 3 Algebra Starter Lessons
  112.    wt: 8:   5 Interpreting and Drawing Maps and Plans.
  113.    wt: 8:   2 Identifying Size and Position Place and Spatial Sense
  114.    wt: 8:   1 From Number Recognition and Counting to Arithmetic A
  115.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  116.    wt: 8:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  117.    wt: 7:   Appendix 1 primary and preschool mathematic
  118.    wt: 7:   H LAMP Introduction Instructional Concepts
  119.    wt: 7:   E LAMP Introduction Modern Mathematics
  120.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  121.    wt: 7:   Applied Maths Program14092009 POMME variant
  122.    wt: 7:   talk the algebra talk
  123.    wt: 7:   teaching tutoring algebraic reason
  124.    wt: 7:   mathematics instruction in general
  125.    wt: 7:   chapitre 07 01 principle D induction mathematique
  126.    wt: 7:   chapitre 03 A Propos Des Prochains Chapitre
  127.    wt: 7:   2 Conductance Resistance Duality02
  128.    wt: 7:   1 Conductance Resistance Duality01
  129.    wt: 7:   E Wire Resistance Calculation03
  130.    wt: 7:   B Wire Resistance Qualitative02
  131.    wt: 7:   27 Graduated Correction and Penalties for Young Offenders
  132.    wt: 7:   22 Student Centered Highschool Mathematics
  133.    wt: 7:   19 Extending the Oral Dimension of Mathematics
  134.    wt: 7:   16 Secondary Mathematics Tips
  135.    wt: 7:   14 Multiplication and Times Tables
  136.    wt: 7:   12 Goals and Objectives For Mathematics
  137.    wt: 7:   sign monoticity analysis example 3
  138.    wt: 7:   11 Function Domain Range Source and Targets
  139.    wt: 7:   1 Geometric Introduction of Function Notation
  140.    wt: 7:   8 quadratics backward use of various formulas
  141.    wt: 7:   3 quadratics factoring by inspection
  142.    wt: 7:   7 Formulas for Roots with Logarithms Derivation
  143.    wt: 7:   1 Calculator Starter Exercises
  144.    wt: 7:   3 Polynomials Multiplication Addition
  145.    wt: 7:   16 cotangent function Definition Graph and Inverse
  146.    wt: 7:   13 cosecant function Definition Graph and Inverse
  147.    wt: 7:   12 motivation for term arctan
  148.    wt: 7:   A Global Time and Navigation
  149.    wt: 7:   5 Head To Tail Arrow Addition
  150.    wt: 7:   3 Navigation with Arrows or Vectors
  151.    wt: 7:   Straight Lines Instersection Solving Equations
  152.    wt: 7:   14 Straight Lines Equations General Case
  153.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  154.    wt: 7:   8 Straight Lines Equation for vertical
  155.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  156.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  157.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  158.    wt: 7:   13 Graph of tangent function many periods
  159.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  160.    wt: 7:   5 An Easy Proof of the Distributive Law
  161.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  162.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  163.    wt: 7:   9 Similarity of Triangles Usual Criteria
  164.    wt: 7:   PS B Parallelogram Construction Methods
  165.    wt: 7:   4 Angles on Maps Plans drawn to scale
  166.    wt: 7:   A Modular and Remainder Arithmetic
  167.    wt: 7:   25 Mid way Convergence to Axiomatic Approach
  168.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  169.    wt: 7:   9 Division with Digits after Decimal Point
  170.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  171.    wt: 7:   B Decimal Comparison and Subtraction
  172.    wt: 7:   1 Decimals Modular and Remainder Arithmetic
  173.    wt: 7:   5 Proportionality in Equivalent Fractions
  174.    wt: 7:   5 Triangle Area Formula Backwards
  175.    wt: 7:   3 Linear Equation Literal Solution More
  176.    wt: 7:   2 Addition and Multiplication Axioms
  177.    wt: 7:   3 Triangle Area Formula Example
  178.    wt: 7:   arithmetic videos Real Player Format
  179.    wt: 7:   3 Counting with Tables and Trees II
  180.    wt: 7:   3 signed coordinates for maps and planes
  181.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  182.    wt: 7:   B Fractions and Two Term Ratios
  183.    wt: 7:   13 Fraction Comparison Algebraic View
  184.    wt: 7:   7 Numerals Fractionals Quantals
  185.    wt: 7:   3 Unit fraction of a fraction
  186.    wt: 7:   1 What is a fraction Take II
  187.    wt: 7:   13 Subtraction with Additive Inverse
  188.    wt: 7:   18 video Count Factors given Prime Factorization
  189.    wt: 7:   10 video Prime Factorization upto 23 squared
  190.    wt: 7:   5 Prime Factorization and a Square Rule
  191.    wt: 7:   Long Division forwards and backwards Example 3
  192.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  193.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  194.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  195.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  196.    wt: 7:   3. How to add with decimals A sans conversions
  197.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  198.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  199.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  200.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  201.    wt: 7:   3 More on Groups of 3 Multi Digit Place Value
  202.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  203.    wt: 7:   012 Division of Time Intervals by Time Intervals
  204.    wt: 7:   010 Repeated Addition of Time Intervals
  205.    wt: 7:   2 Time and Date Matters in School
  206.    wt: 7:   A Related Material in Volume 3
  207.    wt: 7:   4 Definite Integrals Evaluation Exercises
  208.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  209.    wt: 7:   38 Formulas and derivatives for powers and roots
  210.    wt: 7:   36 Cube root derivative animated
  211.    wt: 7:   7 Animated Differentiation Examples
  212.    wt: 7:   2 Motivation for Limit Definition Take 1
  213.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  214.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  215.    wt: 7:   Chapter 24 Logarithms Powers and Exponentials
  216.    wt: 7:   Chapter 17. Area Approximation
  217.    wt: 7:   Chapter 6. Slopes and Vertical Shifts
  218.    wt: 7:   Chapter 31 Direct and Indirect Reason
  219.    wt: 7:   Chapter 30 Truth Tables
  220.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  221.    wt: 7:   Postscript Unifying Theme A Fourth Skill For Algebra
  222.    wt: 7:   Chapter 10 Describing and Changing Calculations
  223.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  224.    wt: 7:   Chapter 23 Truth Tables
  225.    wt: 7:   Chapter 19 What is in chapters 20 to 24
  226.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  227.    wt: 7:   Chapter 9 What is in Chapters 10 to 18
  228.    wt: 7:   Chapter 4 Logic for Reading Writing and Geometry etc
  229.    wt: 7:   7 Games and Activities for Instruction
  230.    wt: 7:   4 Money Matters Saving Earning Buying Selling and Budgets
  231.    wt: 7:   1 From Number Recognition and Counting to Arithmetic B
  232.    wt: 7:   Systematic Algebra Skill Development Missing Links
  233.    wt: 7:   Talking pdf files for online lessons a webvideo alternative
  234.    wt: 7:   The Math Forum and Site Content
  235.    wt: 6:   I LAMP Introduction Study Habits
  236.    wt: 6:   Ramblings Introduction Algebra Essay
  237.    wt: 6:   5 logarithms and exponentials etc
  238.    wt: 6:   three goals to set for students
  239.    wt: 6:   Teach the teachers plus goals
  240.    wt: 6:   Mathematics Education Professors
  241.    wt: 6:   grouping students according to ability
  242.    wt: 6:   mathematics in context
  243.    wt: 6:   Secondary Three Mathematics
  244.    wt: 6:   Secondary Two Mathematics
  245.    wt: 6:   04 25 when to stop or suspend mathemat
  246.    wt: 6:   02 20 mathematics education references
  247.    wt: 6:   standards for course material
  248.    wt: 6:   Operational Viewpoint to Value
  249.    wt: 6:   three kinds of reason in mathematics
  250.    wt: 6:   How to be a better instructor
  251.    wt: 6:   Motivation and Context Problem
  252.    wt: 6:   education an empirical art
  253.    wt: 6:   words for mathematics instructor
  254.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  255.    wt: 6:   chapitre 06 00 Chaines de la raison
  256.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  257.    wt: 6:   chapitre 04 08 Limitations et benefices
  258.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  259.    wt: 6:   Trois Notions qui menent a algebre
  260.    wt: 6:   F Wire Resistance Calculation04
  261.    wt: 6:   D Wire Resistance Calculation02
  262.    wt: 6:   C Wire Resistance Calculation01
  263.    wt: 6:   24 Standards For Skill Develoment Take II
  264.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  265.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  266.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  267.    wt: 6:   17 Math Booklets for children and young teenagers
  268.    wt: 6:   9 Streaming by Student Cooperation
  269.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  270.    wt: 6:   4 Learning Takes Time and Effort
  271.    wt: 6:   Ages 12 to 14 Skills with take home value
  272.    wt: 6:   sign monoticity analysis example 4
  273.    wt: 6:   sign monoticity analysis example 2
  274.    wt: 6:   sign monoticity analysis example 1
  275.    wt: 6:   24 Monotoncity Injectivity and Inverse Functions
  276.    wt: 6:   20 Interchanging coordinates a reflection
  277.    wt: 6:   2 Algebraic use of function notation
  278.    wt: 6:   7 quadratic formulla derivation
  279.    wt: 6:   6 quadratics numerical approach
  280.    wt: 6:   5 quadratics completing the square
  281.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  282.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  283.    wt: 6:   15 cosecant function Definition Graph and Inverse
  284.    wt: 6:   14 secant function Definition Graph and Inverse
  285.    wt: 6:   5 Swapping Coordinates is a reflection
  286.    wt: 6:   9 Summary Degrees to Radians and back
  287.    wt: 6:   7 Radian Measures in special Triangles
  288.    wt: 6:   12 From Applied To Pure Mathematics
  289.    wt: 6:   10 Parallelogram Addition Method
  290.    wt: 6:   9 Head to Tail Coordinate View
  291.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  292.    wt: 6:   A Straight Line Slope Scaling Properties
  293.    wt: 6:   10 Straight Lines through Origin Equations More
  294.    wt: 6:   9 Straight Lines through Origin Equations
  295.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  296.    wt: 6:   17 tangent function angle sum formulas
  297.    wt: 6:   25 tangent double angle formula Slope connection
  298.    wt: 6:   17D cis formulas for sine cosines and tangent
  299.    wt: 6:   17A The complex number valued trig function cis
  300.    wt: 6:   14 cosine even and sine and tangent are odd
  301.    wt: 6:   1 Unit Points Reflections Rotations
  302.    wt: 6:   13 Trig Formulas for dot and cross Products
  303.    wt: 6:   12 cis formulas for sine cosines and tangent
  304.    wt: 6:   7 Second Way to Calculate Products
  305.    wt: 6:   1 Rectangular Polar Coordinates Review
  306.    wt: 6:   3 Trigonometric Ratios sine and cosine
  307.    wt: 6:   Why Trigonometry the whyslopes view
  308.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  309.    wt: 6:   4 Similarity Definition with Coordinate
  310.    wt: 6:   3 Similarity by Design with coordinates
  311.    wt: 6:   8 Distance Between Points on a Line
  312.    wt: 6:   3 Rectangular Coordinates Review
  313.    wt: 6:   2 Cartesian Coordinates with signs
  314.    wt: 6:   1 Cartesian Coordinates sans signs
  315.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  316.    wt: 6:   PS A Kite Construction Methods
  317.    wt: 6:   18 Triangle Similarity Take 1
  318.    wt: 6:   9 Construction of a right bisector
  319.    wt: 6:   8 More Use of Maps Not Drawn to Scale
  320.    wt: 6:   6 Figuring with Maps Not to Scale
  321.    wt: 6:   26 More Less Greater Than Comparison
  322.    wt: 6:   13 Arrows and Vectors in a Plane
  323.    wt: 6:   11 Signed Number Addition and Addition Properties
  324.    wt: 6:   8 Division and Mulplication of Compound Fractions
  325.    wt: 6:   5 Fractions with Infinite Decimal Expansions
  326.    wt: 6:   4 Location of Point in Decimal Addition
  327.    wt: 6:   2 Counting Digits in Decimal Multiplication
  328.    wt: 6:   1 Fractions with Finite Decimal Expansions
  329.    wt: 6:   C Three Decimal Subtraction Methods
  330.    wt: 6:   7 Decimals Multiplication Methods Examples
  331.    wt: 6:   4 Commutative Law Groups Counting Form
  332.    wt: 6:   5 Areas of Rectangles Revisited
  333.    wt: 6:   3 Inequalities Algebraically
  334.    wt: 6:   2 Fraction Operations Physical Development
  335.    wt: 6:   6 Compound Interest Forward and Backwards
  336.    wt: 6:   2 Linear Equation Literal Solution
  337.    wt: 6:   6 Equations and Systems Equivalent or Implied
  338.    wt: 6:   4 Subtraction and Division Axioms
  339.    wt: 6:   2 More and Less Than for Counts and Measures
  340.    wt: 6:   8 Coordinates for Maps and Planes
  341.    wt: 6:   2 Computation Rules Evaluation
  342.    wt: 6:   1 Formulas Dependence and Function Notation
  343.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  344.    wt: 6:   4 Solving a triangular system exercise
  345.    wt: 6:   3 Solving triangular system example
  346.    wt: 6:   2 Essentially one exercises three with solution
  347.    wt: 6:   Using Letters for Physical Quantities
  348.    wt: 6:   8 Compound Interest Formula Evaluation
  349.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  350.    wt: 6:   7 Cautious or Safe Set Construction
  351.    wt: 6:   6 Three Notions of What is a Variable
  352.    wt: 6:   3 Adding Words To Arithmetic
  353.    wt: 6:   1 More and Less Than for Counts and Measures
  354.    wt: 6:   3 Properties of Square Roots with example
  355.    wt: 6:   1 Squares and Square Roots Introduction
  356.    wt: 6:   4 Counting with Trees Product Rule Take I
  357.    wt: 6:   2 Counting with Tables and Trees I
  358.    wt: 6:   6 Simplification of Fractions with Units
  359.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  360.    wt: 6:   2 Unit Fraction Multiplication
  361.    wt: 6:   6 Multiplication by Natural Numbers
  362.    wt: 6:   3 Adding Movements with same direction
  363.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  364.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  365.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  366.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  367.    wt: 6:   15 video Factors of 20 using Prime Factorization
  368.    wt: 6:   9 video Prime Factorization upto 19 squared
  369.    wt: 6:   4 video Prime Factorization Introduction
  370.    wt: 6:   3 video Primes and Composites from 9 times table
  371.    wt: 6:   1 video how Products are bigger than factor
  372.    wt: 6:   Long Division forwards and backwards Example 2
  373.    wt: 6:   Long Division forwards and backwards Example 1
  374.    wt: 6:   7 Long Divison Mistake Catching
  375.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  376.    wt: 6:   5 Decimal Fraction Multiplication
  377.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  378.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  379.    wt: 6:   8 Subtraction with Units of Measure
  380.    wt: 6:   5 A Tip for Efficent Subtraction
  381.    wt: 6:   2 Subtraction Easy Case Examples
  382.    wt: 6:   7 Adding decimal fractions using decimal point
  383.    wt: 6:   6. Counting and adding units and mixed units
  384.    wt: 6:   The 12 Times Table Visually
  385.    wt: 6:   013 Travel Time Tables
  386.    wt: 6:   Example 1. Area Between x and x squared
  387.    wt: 6:   4 Second derivative test exercise example
  388.    wt: 6:   34 Derivative of exponential function
  389.    wt: 6:   33 Chain Rule Real Player video examples
  390.    wt: 6:   25 Chain Rule Animated Examples Continued
  391.    wt: 6:   13 sine and cosine derivatives 1st step
  392.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  393.    wt: 6:   11 Limits at infinity Three Examples
  394.    wt: 6:   6 Continuity at a point
  395.    wt: 6:   3 Decimal insights for limits continuity convergence
  396.    wt: 6:   G.1 First Fundamental Theorem of Calculus
  397.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  398.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  399.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  400.    wt: 6:   F.3 Intermediate Value Theorem
  401.    wt: 6:   Chapter 23 Links To Trigonometry
  402.    wt: 6:   Chapter 16. Velocity Approximation
  403.    wt: 6:   Chapter 13. Acceleration
  404.    wt: 6:   Chapter 9 About First Courses in Calculus
  405.    wt: 6:   Chapter 8. Slope Interpretation
  406.    wt: 6:   Chapter 3. Slope Sign Analysis
  407.    wt: 6:   Chapter 2. Slopes and Ski Trails
  408.    wt: 6:   Chapter 24. Personal Investment and Pension EGS
  409.    wt: 6:   Chapter 23. Notation For Sums
  410.    wt: 6:   Postscript What is a Variable
  411.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  412.    wt: 6:   Chapter 11 Elementary Instruction
  413.    wt: 6:   Chapter 3 Algebra Difficulties
  414.    wt: 6:   Postscript B More on Story Telling and Reason
  415.    wt: 6:   Chapter 24 Direct and Indirect Reason
  416.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  417.    wt: 6:   R Why Learn Mathematics Skills
  418.    wt: 6:   O On Learning Mathematics and Science
  419.    wt: 6:   N Mathematics Prepare for College Studies
  420.    wt: 6:   D. Check work a must with a caution
  421.    wt: 6:   Chapter 7 Calculus Previews and Calculus Lightly
  422.    wt: 6:   Chapter 6 More Algebra and Geometry
  423.    wt: 6:   Helping the Blind in Logic and Mathematics
  424.    wt: 6:   Mathematics Education References
  425.    wt: 6:   Mathematics Education References
  426.    wt: 6:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  427.    wt: 5:   Appendix 2 primary school Arithmetic 01
  428.    wt: 5:   F LAMP Introduction Prerequisites
  429.    wt: 5:   Skills Chapter 3 Algebra
  430.    wt: 5:   Skills Chapter 1 Arithmetic
  431.    wt: 5:   10 statistics
  432.    wt: 5:   9 combinatorics probability sets
  433.    wt: 5:   8 analytic geometry etc
  434.    wt: 5:   7 logic review and decimals an odd combination
  435.    wt: 5:   activities for students
  436.    wt: 5:   teacher certification
  437.    wt: 5:   Secondary One Mathematics
  438.    wt: 5:   What to Tell Students
  439.    wt: 5:   mathematics curriculum shifts
  440.    wt: 5:   geometric implications for algebra
  441.    wt: 5:   the trouble with algebra
  442.    wt: 5:   05 13 OldSiteEntrancePage
  443.    wt: 5:   need for a mixed mathematics curriculum
  444.    wt: 5:   Leaner mathematics curriculum
  445.    wt: 5:   fairness and inductive principles for instruction
  446.    wt: 5:   chapitre 04 05 Implication versus suggestion
  447.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  448.    wt: 5:   chapitre 02 00 La Communication des idees
  449.    wt: 5:   problemes algebre et arithmetique
  450.    wt: 5:   3 Like resistors in parallel
  451.    wt: 5:   C Electromotive force conventional current02
  452.    wt: 5:   B Electromotive force conventional current01
  453.    wt: 5:   18 Primary School Mathematics
  454.    wt: 5:   8 The Effect of Negative Remarks
  455.    wt: 5:   7 Student Motivation
  456.    wt: 5:   5 Patience Please for Yourself and Your Charges
  457.    wt: 5:   Ages 12 to 14 Arithmetic
  458.    wt: 5:   Ages 10 to 12 Arithmetic
  459.    wt: 5:   22 Square Root function graphically
  460.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  461.    wt: 5:   13 From one to one to many to one
  462.    wt: 5:   10 Interval Notation
  463.    wt: 5:   9 Set theory term relation possible origins
  464.    wt: 5:   8 Set view of relations and functions
  465.    wt: 5:   3 Formula or function graphing exercise
  466.    wt: 5:   A Quadratics Summary
  467.    wt: 5:   4 quadratics difference of two squares
  468.    wt: 5:   2 quadratics graphing in general
  469.    wt: 5:   1 quadratics graphing exercises
  470.    wt: 5:   Quadratics in 10 steps
  471.    wt: 5:   10 Exponential Growth and Decay Models
  472.    wt: 5:   2 Square Root Simplification a prequel
  473.    wt: 5:   8 Notes for instructors or tutors
  474.    wt: 5:   1 Polynomials Distributive Law
  475.    wt: 5:   9 motivation for name arcsin
  476.    wt: 5:   4 possible motivation for term arccos
  477.    wt: 5:   2 Radian Measure Numerical Value of one degree
  478.    wt: 5:   1 Degrees and Radians Introduction
  479.    wt: 5:   4 Resultant of a Sum of Movements
  480.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  481.    wt: 5:   Parallel Lines and Interior Angles
  482.    wt: 5:   Straight Lines Intersection of
  483.    wt: 5:   C Straight Lines Slope from Coordinates
  484.    wt: 5:   B Straight Line Slope Scaling Properties More
  485.    wt: 5:   5 Tangent Function Graph
  486.    wt: 5:   4 Tangent Function Properties
  487.    wt: 5:   32 seven rows of pascals triangle
  488.    wt: 5:   24 tangent Angle Difference Formula
  489.    wt: 5:   18 sum of sinusoidal waves as a single wave
  490.    wt: 5:   17E Trig Formulas for dot and cross Products
  491.    wt: 5:   15 sine cosine Complementary Angle Relations
  492.    wt: 5:   12 Graph of tangent function for one period
  493.    wt: 5:   21 Logarithms Powers and Exponentials
  494.    wt: 5:   9 The complex number valued trig function cis
  495.    wt: 5:   Appetizer A Complex Number Applet
  496.    wt: 5:   7 Trignometric Ratios Unit Circle
  497.    wt: 5:   6 Trigonometry Sines of Supplementary Angles
  498.    wt: 5:   11 Triangle Similarity Missing Side Problem
  499.    wt: 5:   8 Similarity of Triangles and Polygons
  500.    wt: 5:   11 A Partial Summary
  501.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  502.    wt: 5:   1 Numerical view of lines and their equations
  503.    wt: 5:   What is and is not here
  504.    wt: 5:   12 Spatial Coordinates
  505.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  506.    wt: 5:   4 Polar Coordinates to and from
  507.    wt: 5:   PS H Distributive Law For Complex Numbers
  508.    wt: 5:   19 Right Triangle Similarity
  509.    wt: 5:   17 Right Bisectors of Triangle Sides
  510.    wt: 5:   16 Angles Subtended By Chords and Diameters
  511.    wt: 5:   14 Parallel Lines Postulate
  512.    wt: 5:   11 Triangle Construction Fails
  513.    wt: 5:   6 Ruler and compass Angle Bisection
  514.    wt: 5:   3 Isometry of Triangles Congruence
  515.    wt: 5:   1 Initial Concepts and Terms
  516.    wt: 5:   21 Addition of Multiples of a Single Vector
  517.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  518.    wt: 5:   A Decimal Addition Columm Methods
  519.    wt: 5:   8 Column Multiplication Methods in General
  520.    wt: 5:   6 Column Methods for Decimal Multiplication
  521.    wt: 5:   3 Multiplicative Counting Skills Principles
  522.    wt: 5:   3 Proportionality Examples
  523.    wt: 5:   1 What is Proportionality
  524.    wt: 5:   7 Pythagorean Theorem Chinese Square Proof
  525.    wt: 5:   1 Equivalent Computation Rules
  526.    wt: 5:   5 Greater More Less Than Signs in General
  527.    wt: 5:   3 More and Less Than with Unlike Signs
  528.    wt: 5:   13 Real Number Subtraction
  529.    wt: 5:   12 Real Number Additive Inverses or Negatives
  530.    wt: 5:   5 Algebraic Solutions Introduction
  531.    wt: 5:   4 Four Examples Fractional Coefficients
  532.    wt: 5:   13 Naming Identifying Formulas with Words
  533.    wt: 5:   7 Compound Interest Formula Introduction
  534.    wt: 5:   1 Written work formats for developing and showing skill
  535.    wt: 5:   3 Counting with Sets etc
  536.    wt: 5:   4 A Brief Story of numbers and algebra
  537.    wt: 5:   4 Greater More Less Than Signs in General
  538.    wt: 5:   3 Comparison of Negative Numbers
  539.    wt: 5:   13 GCD from given Prime Factorization
  540.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  541.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  542.    wt: 5:   7 GCD and LCM from prime factorization
  543.    wt: 5:   1 Least Common Multiples LCM Introduction
  544.    wt: 5:   11 What are real lengths and numbers
  545.    wt: 5:   7 negative and additive inverse
  546.    wt: 5:   11 Simplification an Algebraic View
  547.    wt: 5:   4 Fraction Multiplication
  548.    wt: 5:   1 What is a fraction
  549.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  550.    wt: 5:   11 Adding Integers Formulas and Examples
  551.    wt: 5:   10 Integer Multiplication Formulas
  552.    wt: 5:   4 Adding Movements wiht opposite directions
  553.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  554.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  555.    wt: 5:   23 Remainder Arithmetic Modulo 2
  556.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  557.    wt: 5:   21 Remainder Arithmetic Modulo 3
  558.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  559.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  560.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  561.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  562.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  563.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  564.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  565.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  566.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  567.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  568.    wt: 5:   17 Identify and Count Factors using Primes
  569.    wt: 5:   8 video Prime Factorization upto 19
  570.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  571.    wt: 5:   Division with Counts and Length
  572.    wt: 5:   11 Another Single Digit Divisor Example
  573.    wt: 5:   8 Correcting the Mistake
  574.    wt: 5:   3 Division Single Digit Divisor Example
  575.    wt: 5:   D Decimal Multiplication Methods Derived
  576.    wt: 5:   C Counting Areas with Powers of Ten
  577.    wt: 5:   4 Two and Three Digit Multipliers
  578.    wt: 5:   Video Power Notation in Decimal Expansion
  579.    wt: 5:   Subtraction with J Conversions Example
  580.    wt: 5:   Subtraction Another Video Lesson
  581.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  582.    wt: 5:   8 What skills and work habits to require
  583.    wt: 5:   4. How to add with decimals B with conversions
  584.    wt: 5:   1. Explaining Addition Table
  585.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  586.    wt: 5:   Quick history of numbers and algebra
  587.    wt: 5:   Formula Evaluation how to show work
  588.    wt: 5:   016 Numbering Occidental Calendar Days
  589.    wt: 5:   015 School and work day counting tables
  590.    wt: 5:   014 Counting Days with Calendars
  591.    wt: 5:   7 Addition of Time Intervals
  592.    wt: 5:   3 Units and Lengths of Time
  593.    wt: 5:   1 Intro of Kids To Time Date Skills
  594.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  595.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  596.    wt: 5:   Area Between Curves Lesson Take 2
  597.    wt: 5:   Area Between Curves Lesson Take 1
  598.    wt: 5:   3 Two Chain Rule Method Exercises
  599.    wt: 5:   1 Chain Rule in Reverse Integration Method
  600.    wt: 5:   3 Second derivative test
  601.    wt: 5:   A Chain Rule Real Player video examples
  602.    wt: 5:   28 Chain Rule Preparation for a Proof
  603.    wt: 5:   24 Chain Rule Animated Examples
  604.    wt: 5:   17 Derivatives of quotients of sine and cosine
  605.    wt: 5:   15 sine and cosine derivatives 3rd step
  606.    wt: 5:   10 Three one sided limits with infinite values
  607.    wt: 5:   9 Limits Continuity and Composition
  608.    wt: 5:   5 Jumps and absence of unlimited error control
  609.    wt: 5:   G.3 Constant Difference Theorem Proof
  610.    wt: 5:   B3 Bolzano Weierstrass Theorem
  611.    wt: 5:   Chapter 21 Arrow Addition
  612.    wt: 5:   Chapter 15. Slope Approximation
  613.    wt: 5:   Chapter 12. Units and Slopes
  614.    wt: 5:   Chapter 10 Slopes and Units
  615.    wt: 5:   Chapter 7 Slopes and Velocity
  616.    wt: 5:   Chapter 4. More Slope Sign Analysis
  617.    wt: 5:   Fall 1983 Calculus Appetizer
  618.    wt: 5:   Postscript More on Better Performance
  619.    wt: 5:   Postscript For Better Performance
  620.    wt: 5:   Appendix D. What to do in School and Why
  621.    wt: 5:   Appendix A. Reading Guide For Next Appendices
  622.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  623.    wt: 5:   Chapter 20. Degrees and Radians
  624.    wt: 5:   Chapter 19. Functions and Sets
  625.    wt: 5:   Chapter 15. Solving Linear Equations
  626.    wt: 5:   Chapter 12. Shorthand Usage Guide
  627.    wt: 5:   Chapter 11. Why Shorthand
  628.    wt: 5:   Chapter 8 Three Skills For Algebra
  629.    wt: 5:   Solutions For Arithmetic Exercises
  630.    wt: 5:   Chapter 6 Change of Language
  631.    wt: 5:   Chapter 3 Chains of Reason
  632.    wt: 5:   Postscript A Three Remarks
  633.    wt: 5:   Chapter 10 Transition
  634.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  635.    wt: 5:   Postscript D Reflections on Law of the Excluded Middle
  636.    wt: 5:   Postscript A Story Telling
  637.    wt: 5:   Chapter 20 Shorthand Symbols as Pronouns
  638.    wt: 5:   Chapter 8 Change of Language
  639.    wt: 5:   M Words to extend arithmetic
  640.    wt: 5:   N Improving Marks on Tests and Finals
  641.    wt: 5:   G. Written work formats for developing and showing skill
  642.    wt: 5:   Appendix A Calculus with Proofs for Keen or Gifted
  643.    wt: 5:   Chapter 8 Skipped Topics and Why
  644.    wt: 5:   Chapter 1 Arithmetic
  645.    wt: 5:   More Algebra and Slope based Calculus Preview
  646.    wt: 4:   J LAMP Introduction Extrinsic Origins
  647.    wt: 4:   A Introduction Objectives
  648.    wt: 4:   Skills Chapter 0 Introduction
  649.    wt: 4:   11 pure mathematics
  650.    wt: 4:   3 Euclidean Geometry Leanly
  651.    wt: 4:   2 arithmetic with signed numbers
  652.    wt: 4:   1 arithmetic with unsigned numbers
  653.    wt: 4:   About site lesson plans
  654.    wt: 4:   learning takes time
  655.    wt: 4:   what should be learnt and When
  656.    wt: 4:   Education Reform Inconsistencies
  657.    wt: 4:   Maps Plans Drawings
  658.    wt: 4:   how letters appear
  659.    wt: 4:   teaching tips
  660.    wt: 4:   04 29 New Mathematics Curriculum
  661.    wt: 4:   Different Kinds of Reasoning in maths
  662.    wt: 4:   cultivating intelligence
  663.    wt: 4:   Four ways to improve education reform
  664.    wt: 4:   chapitre 12 00 les iles et division
  665.    wt: 4:   chapitre 04 09 Regles accidentelles
  666.    wt: 4:   chapitre 04 06 engagements
  667.    wt: 4:   chapitre 04 04 Parlons de la logique
  668.    wt: 4:   chapitre 04 00 Les regles d implication
  669.    wt: 4:   chapitre 01 00 Introduction
  670.    wt: 4:   2 Unlike resistors in parallel01
  671.    wt: 4:   24 Standards For Skill Develoment
  672.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  673.    wt: 4:   11 Help and Defend Your Child or Teens Education
  674.    wt: 4:   10 Ends values for work study instruction
  675.    wt: 4:   19 Horizontal line rule and method
  676.    wt: 4:   18 Vertical Line Rule and Method
  677.    wt: 4:   16 Increasing or decreasing on intervals
  678.    wt: 4:   15 Sign analysis of functions
  679.    wt: 4:   12 Function Domain Recognition Exercises
  680.    wt: 4:   7 Functions with finite domains
  681.    wt: 4:   10 quadratic exercises
  682.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  683.    wt: 4:   4 Polynomials Long division linear divisor
  684.    wt: 4:   2 Column Multiplication Method
  685.    wt: 4:   3 Left Inverse of cosine arccos definition
  686.    wt: 4:   8 Radian Measures of Common Angles
  687.    wt: 4:   6 Radian Measure to Degrees
  688.    wt: 4:   5 Degrees to Radian Measure
  689.    wt: 4:   6 Vectors with Coordinates
  690.    wt: 4:   Vector and Complex Number Applet
  691.    wt: 4:   Triangle Angles Sum To 180 Degrees
  692.    wt: 4:   12 Straight Lines Graphing mx plus b
  693.    wt: 4:   11 Straight Lines Graphing y=mx
  694.    wt: 4:   1 Straight Lines Slope Concept
  695.    wt: 4:   27 Logarithmic use of products of sines and cosines
  696.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  697.    wt: 4:   21 sine and cosine Half Angle Formulas
  698.    wt: 4:   17G Pythagorean Theorem Converse
  699.    wt: 4:   17C sine and cosine double triple angle formulas
  700.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  701.    wt: 4:   8 period of tangent function
  702.    wt: 4:   2 Quadrant I reference Angles
  703.    wt: 4:   Unit Circle Development of Trigonometry
  704.    wt: 4:   16 References and Originality Question
  705.    wt: 4:   15 Pythagorean Theorem Converse
  706.    wt: 4:   11 sine and cosine double triple angle formulas
  707.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  708.    wt: 4:   8 Unit Circle Development of Trigonometry
  709.    wt: 4:   4 Multiplication Properties
  710.    wt: 4:   3 Addition Properties
  711.    wt: 4:   8 Triangles Cascade Problem Solving
  712.    wt: 4:   1 Angle Measurement with Degrees
  713.    wt: 4:   12 Triangles Similarity More Problems
  714.    wt: 4:   6 Geometric Diagrams in Class
  715.    wt: 4:   1 Early Concept of Like or Similar Shapes
  716.    wt: 4:   10 Midpoint of [a b] and [b a]
  717.    wt: 4:   6 Intersection of lines by solving linear systems
  718.    wt: 4:   2 point slope equation for a line
  719.    wt: 4:   11 Triangle Inequality
  720.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  721.    wt: 4:   13 Angle Side Angle Failure
  722.    wt: 4:   A Measurement with Ruler Proper Use
  723.    wt: 4:   2 Measuring Area Directly
  724.    wt: 4:   About Folder Contents
  725.    wt: 4:   A Signed Number Arithmetic Review
  726.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  727.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  728.    wt: 4:   6 Infinite Decimals Ending in 9 repeating
  729.    wt: 4:   5 Distributive Law for Whole Numbers
  730.    wt: 4:   2 Combing Counts Addition Skills and Principles
  731.    wt: 4:   1 Changing Calculations
  732.    wt: 4:   5 Equality in Algebra
  733.    wt: 4:   3 Product Axioms Two Forms
  734.    wt: 4:   4 Comparison of Negative Numbers
  735.    wt: 4:   14 Real Number Multiplication
  736.    wt: 4:   7 Real Numbers as Line Cordinates
  737.    wt: 4:   1 Whole and Natural Numbers
  738.    wt: 4:   4 GE III Animated Examples
  739.    wt: 4:   1 GE Substitution four examples
  740.    wt: 4:   6 Algebraic Solution Example
  741.    wt: 4:   Formula Usage Show Work Format
  742.    wt: 4:   4 Circle Area Formula Example
  743.    wt: 4:   6 Power Set Notation
  744.    wt: 4:   5 Product Builder Notation
  745.    wt: 4:   4 Subset Builder Notation
  746.    wt: 4:   2 What is a Variable
  747.    wt: 4:   About Folder Contents
  748.    wt: 4:   2 More and Less Than with Unlike Signs
  749.    wt: 4:   5 Square Roots with primes more still
  750.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  751.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  752.    wt: 4:   1 Counting and Counting Methods I
  753.    wt: 4:   2 signed and unsigned numbers as coordinates
  754.    wt: 4:   4 Fractions with Units
  755.    wt: 4:   3 Multiplying Units and Numbers
  756.    wt: 4:   2 Equality and Units
  757.    wt: 4:   D Three Term Ratios
  758.    wt: 4:   21 Reciprocals for Fractions and Wholes
  759.    wt: 4:   20 Dividing Fractions the Why
  760.    wt: 4:   18 Efficient Ways to Multiply
  761.    wt: 4:   12 Fraction Comparison
  762.    wt: 4:   5 Equivalent Fractions
  763.    wt: 4:   8 Multiplication by Signed Numbers Integers
  764.    wt: 4:   5 Zero Movement and Additive Inverses
  765.    wt: 4:   1 Integers as Coordinates
  766.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  767.    wt: 4:   26 Divisibility by 2 3 5 Example
  768.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  769.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  770.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  771.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  772.    wt: 4:   5 Remainder Arithmetic Modulo 5
  773.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  774.    wt: 4:   1 Remainder Arithmetic Modulo 10
  775.    wt: 4:   20 Uniqueness of Prime Factorization
  776.    wt: 4:   19 video Prime Factorization Unique
  777.    wt: 4:   14 video Factors of 24 Take II
  778.    wt: 4:   2 Prime and Composites less than 16
  779.    wt: 4:   12 Why Long Division Works Take III
  780.    wt: 4:   10 Division by Five Long and Short Ways
  781.    wt: 4:   9 Why Long Division Works Take II
  782.    wt: 4:   2 Division with Single Digit Divisors
  783.    wt: 4:   9 22 Minute Subtraction Review Video
  784.    wt: 4:   5. How to add decimals C. Examples
  785.    wt: 4:   2 Decimal Counting Practices
  786.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  787.    wt: 4:   1 Place Value in Three Digit Whole Numbers
  788.    wt: 4:   Expression Evaluation how to show work
  789.    wt: 4:   The 20 Times Table
  790.    wt: 4:   About folder contents
  791.    wt: 4:   011 Division of Time Intervals By Numbers
  792.    wt: 4:   4 Mixing and Changing Units of Time
  793.    wt: 4:   2 Indefinite Integrals Exercises
  794.    wt: 4:   A Related lessons in Volume 3
  795.    wt: 4:   2 Second derivative test prequel
  796.    wt: 4:   31 Derivatives of inverse functions
  797.    wt: 4:   29 Chain Rule Optional Reading
  798.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  799.    wt: 4:   26 Chain Rule Recognising outer inner functions
  800.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  801.    wt: 4:   14 sine and cosine derivatives 2nd step
  802.    wt: 4:   8 Differentiation of polynomials
  803.    wt: 4:   8 Four Animated Examples
  804.    wt: 4:   2 Algebraic codification
  805.    wt: 4:   G.1 Differentiable Functions Rolles Theorem
  806.    wt: 4:   F.5a Equicontinuity Theorems
  807.    wt: 4:   F.1 What Functions are Continuous
  808.    wt: 4:   E2 Algebraic Properties of Limits
  809.    wt: 4:   C Triangle Inequalities
  810.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  811.    wt: 4:   Chapter 11. Graphing Slope versus Position
  812.    wt: 4:   Chapter 5. Slope Sign Tests
  813.    wt: 4:   Chapter 1.Introduction
  814.    wt: 4:   Chapter 28 Occurrence Tables
  815.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  816.    wt: 4:   Chapter 21. Third Reading Guide
  817.    wt: 4:   Chapter 18. Rules for Algebra
  818.    wt: 4:   Chapter 16. Painless Theorem Proving
  819.    wt: 4:   Chapter 13. Second Reading Guide
  820.    wt: 4:   Chapter 4 Longer Chains of Reason
  821.    wt: 4:   Chapter 9 The Two Ends
  822.    wt: 4:   Chapter 8 Modern Instruction
  823.    wt: 4:   Chapter 1 Introduction
  824.    wt: 4:   Chapter 21 Occurrence Tables
  825.    wt: 4:   Chapter 7 Longer Chains of Reason
  826.    wt: 4:   Chapter 6 Chains of Reason
  827.    wt: 4:   Chapter 1 Introduction
  828.    wt: 4:   S Adding words to algebra
  829.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  830.    wt: 4:   L Skills with take home value
  831.    wt: 4:   A. Skill has to be seen to believed
  832.    wt: 4:   Chapter 2 Why Sets
  833.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  834.    wt: 4:   Implementation Notes
  835.    wt: 4:   Road Safety Questions
  836.    wt: 3:   K LAMP Musings Science Education
  837.    wt: 3:   G LAMP Introduction Problem Solving Skills
  838.    wt: 3:   Skills Chapter 5 Calculus
  839.    wt: 3:   Ramblings Extrinsic numbers theory
  840.    wt: 3:   Skills Chapter 2 Geometry
  841.    wt: 3:   permissions for teachers
  842.    wt: 3:   key notes and themes
  843.    wt: 3:   five decades make a difference
  844.    wt: 3:   Lessening Algebra Difficulties
  845.    wt: 3:   chapitre 05 00 Deception
  846.    wt: 3:   3 Energy Power Heat08
  847.    wt: 3:   A Circuit Elements
  848.    wt: 3:   Home Tutoring and Home Schooling
  849.    wt: 3:   15 Counting For Parents
  850.    wt: 3:   3 Preparing for Science Studies
  851.    wt: 3:   2 Reading and Writing Skills
  852.    wt: 3:   Ages 12 to 14 Geometry
  853.    wt: 3:   Ages 10 to 12 Geometry
  854.    wt: 3:   Ages 3 plus to 4 plus
  855.    wt: 3:   26 Function definitions done and coming
  856.    wt: 3:   14 Surjections Injections Bijections
  857.    wt: 3:   Introduction Reading Guide
  858.    wt: 3:   11 Growth and Decay in Biology
  859.    wt: 3:   8 arcsin left inverse of sine Graph
  860.    wt: 3:   7 arcsin left inverse of sine Definition
  861.    wt: 3:   6 Graph of arccos function
  862.    wt: 3:   15 Dot and Cross Product
  863.    wt: 3:   13 Velocity Vectors in Physics
  864.    wt: 3:   8 Parallel Vectors
  865.    wt: 3:   26 Formulas for products of sines and cosines
  866.    wt: 3:   20 sine and cosine Double Angle Formulas
  867.    wt: 3:   10 Graphs of sines and cosines many periods
  868.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  869.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  870.    wt: 3:   19 N th Roots of Unity
  871.    wt: 3:   18 Sixth Roots of Unity
  872.    wt: 3:   5 Algebraic View of Slopes
  873.    wt: 3:   4 Equations for lines three forms
  874.    wt: 3:   3 Slope product for perpendicular lines
  875.    wt: 3:   21 Parallelograms
  876.    wt: 3:   10 Dropping a perpendicular to line
  877.    wt: 3:   8 Isoceles Triangles
  878.    wt: 3:   2 Correspondence between Triangles
  879.    wt: 3:   Short Course on Euclidean Geometry
  880.    wt: 3:   1 Length Measurement
  881.    wt: 3:   musings do not puiblish real numbers
  882.    wt: 3:   22 Multiplication of Signed Numbers
  883.    wt: 3:   12 Real Numbers Line Signed Coordinates
  884.    wt: 3:   1 Real Numbers Comparison
  885.    wt: 3:   16 Real Numbers Comparison
  886.    wt: 3:   11 Real Number Addition
  887.    wt: 3:   10 Real Number Lengths and Signs
  888.    wt: 3:   9 Coordinates for Regions in Space
  889.    wt: 3:   5 Rational Numbers More
  890.    wt: 3:   4 Rational Numbers
  891.    wt: 3:   3 Fractions
  892.    wt: 3:   5 Independent versus Dependent Variables
  893.    wt: 3:   4 Changing Letters
  894.    wt: 3:   3 Two Examples
  895.    wt: 3:   1 Three Skills For Algebra
  896.    wt: 3:   4 Square Roots with primes more
  897.    wt: 3:   2 Square Roots with Prime
  898.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  899.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  900.    wt: 3:   8 GCD from Euclidean Algorithm
  901.    wt: 3:   9 subtracting signed numbers
  902.    wt: 3:   4 signed coordinates for regions in space
  903.    wt: 3:   7 Converting or Changing Units
  904.    wt: 3:   19 Dividing Fractions How TO
  905.    wt: 3:   9 Improper Fractions and Mixed Numbers
  906.    wt: 3:   6 Multiplication of Mixed Numbers
  907.    wt: 3:   B Integer Long Division Multiple Choices
  908.    wt: 3:   12 Adding Integers More Examples
  909.    wt: 3:   7 Multiplication by Signs
  910.    wt: 3:   13 video Factors of 24 using prime
  911.    wt: 3:   Long Division Backwards more
  912.    wt: 3:   Long Division Backward
  913.    wt: 3:   4 Division with 2 Digit Divsors
  914.    wt: 3:   3 More One Digit Multipliers
  915.    wt: 3:   1 Why 3 times 5 gives 15
  916.    wt: 3:   5 Conversion Arithmetic
  917.    wt: 3:   Example 1 volume of a pyramid
  918.    wt: 3:   Example 4 with x function of y
  919.    wt: 3:   5 Area Under Curve Exercise
  920.    wt: 3:   30Chain Rule A Proof
  921.    wt: 3:   23 Chain Rule in general
  922.    wt: 3:   19 Chain Rule for linear functions
  923.    wt: 3:   18 Chain Rule Introduction
  924.    wt: 3:   12 Quotient rule examples
  925.    wt: 3:   10 Power rule for negative integers
  926.    wt: 3:   1 Numerical introduction
  927.    wt: 3:   G.5 Motions With Bounded Velocities
  928.    wt: 3:   F.5b Extreme Value Theorem
  929.    wt: 3:   E1 Error Control Inequalities
  930.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  931.    wt: 3:   A1. Introduction
  932.    wt: 3:   Appendix C. How to Read
  933.    wt: 3:   Appendix B. How To Learn
  934.    wt: 3:   Chapter 12 Four Phases
  935.    wt: 3:   Chapter 18 Sense and Knowledge
  936.    wt: 3:   Chapter 15 Objective Processes
  937.    wt: 3:   Chapter 10 Responsibility
  938.    wt: 3:   Chapter 5 Deception
  939.    wt: 3:   Chapter 2 Skill Development
  940.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  941.    wt: 3:   J. More on written work and showing skill
  942.    wt: 3:   I. Logic and language skills
  943.    wt: 3:   H more Routine to non routine problem solving
  944.    wt: 3:   E. When and how to correct errors
  945.    wt: 2:   Skills Chapter 4 Logic
  946.    wt: 2:   6 polynomials etc
  947.    wt: 2:   4 algebra
  948.    wt: 2:   What is POMME
  949.    wt: 2:   why bother
  950.    wt: 2:   which way to go
  951.    wt: 2:   links Education Resources online
  952.    wt: 2:   site eurekas
  953.    wt: 2:   modern education
  954.    wt: 2:   Postscript 2007 01 10
  955.    wt: 2:   three difficulties
  956.    wt: 2:   02 21 words for teachers
  957.    wt: 2:   formal or informal peer review
  958.    wt: 2:   Prequel In For A Penny In For A Pound
  959.    wt: 2:   chapitre 04 02 Deuxieme enigme
  960.    wt: 2:   chapitre 04 01 Premiere enigme
  961.    wt: 2:   deux definitions pour variable
  962.    wt: 2:   4 Energy Power Heat09
  963.    wt: 2:   2 Energy Power Heat07
  964.    wt: 2:   1 Energy Power Heat06
  965.    wt: 2:   1 Like resistors in series
  966.    wt: 2:   F Unlike Resistors in Series
  967.    wt: 2:   D Kirchoff First Law
  968.    wt: 2:   Ages 9 to 10
  969.    wt: 2:   Ages 8 to 9
  970.    wt: 2:   Ages 7 to 8
  971.    wt: 2:   Ages 6 to 7
  972.    wt: 2:   Ages 4 plus to 5 plus
  973.    wt: 2:   23 Inverse Functions
  974.    wt: 2:   2 cosine function more properties
  975.    wt: 2:   1 cosine function properties
  976.    wt: 2:   11 Component Method
  977.    wt: 2:   2 Signed Coordinates
  978.    wt: 2:   1 Unsigned Coordinates
  979.    wt: 2:   4 graphing y=Asin(x c)
  980.    wt: 2:   3 graphing y=f(x c) plus K
  981.    wt: 2:   1 graphing y=f(x a)
  982.    wt: 2:   28 Expressing products of sines cosines as sums
  983.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  984.    wt: 2:   9 Graphs of sine and cosine over one period
  985.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  986.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  987.    wt: 2:   20 N th Roots of Complex Numbers
  988.    wt: 2:   17 Cube Roots of unity
  989.    wt: 2:   2 Complex Numbers made easier we hope
  990.    wt: 2:   2 Similarity By Design
  991.    wt: 2:   8 Mid Point Formula
  992.    wt: 2:   7 Complex Numbers Appetizer
  993.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  994.    wt: 2:   12 Side Angle Side Failure
  995.    wt: 2:   7 Angle Side Angle
  996.    wt: 2:   19 Signed Multiples of Vectors
  997.    wt: 2:   E Long Division Methods more
  998.    wt: 2:   D Long Division Methods
  999.    wt: 2:   1 The Counting Origins of Numbers
  1000.    wt: 2:   2 Algebraic View
  1001.    wt: 2:   15 Real Number Division
  1002.    wt: 2:   2 GE II Comparison
  1003.    wt: 2:   1 Essentially One Unknown
  1004.    wt: 2:   3 Four Examples
  1005.    wt: 2:   2 Three Examples
  1006.    wt: 2:   1 Proper Equal Sign Usage
  1007.    wt: 2:   Skill Development Notes
  1008.    wt: 2:   9 Three Examples
  1009.    wt: 2:   7 Two Examples
  1010.    wt: 2:   6 Three Examples
  1011.    wt: 2:   5 Three Examples
  1012.    wt: 2:   4 Two Examples
  1013.    wt: 2:   2 Three Examples
  1014.    wt: 2:   5 Box Volume Formula Example
  1015.    wt: 2:   2 Venn Diagrams
  1016.    wt: 2:   1 Finite Sets
  1017.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  1018.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  1019.    wt: 2:   5 Common Divisors 60 45 via Prime
  1020.    wt: 2:   4 LCM of 8 and 10 via Prime
  1021.    wt: 2:   5 lengths and signs of numbers
  1022.    wt: 2:   22 Complex Compound Fractions
  1023.    wt: 2:   D Remainders Modulo 11 Pair Rule
  1024.    wt: 2:   9 Multiplying Integers
  1025.    wt: 2:   16 video Factors of 980 using prime
  1026.    wt: 2:   11 Efficient Square Rule Use
  1027.    wt: 2:   5 Long Division Include Zeroes or not
  1028.    wt: 2:   1 Divsion Physical Examples
  1029.    wt: 2:   2 One Digit Multipliers
  1030.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  1031.    wt: 2:   6 How long is a million seconds
  1032.    wt: 2:   Example 2 volume of a cone
  1033.    wt: 2:   Example 3
  1034.    wt: 2:   22 Chain Rule for polynomials
  1035.    wt: 2:   20 Chain Rule for Pulley Systems
  1036.    wt: 2:   11 Quotient rule
  1037.    wt: 2:   4 Numerical properties
  1038.    wt: 2:   F.4 Finite Covering Theorem
  1039.    wt: 2:   F.2 Closed Range Theorem
  1040.    wt: 2:   D2 Limits of Monotone Sequences
  1041.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  1042.    wt: 2:   Chapter 22 Complex Numbers
  1043.    wt: 2:   Chapter 5 Four References
  1044.    wt: 2:   Three Remarks
  1045.    wt: 2:   H Jigsaw puzzles and problem solving
  1046.    wt: 2:   C. Domino effect of being careful
  1047.    wt: 2:   How to Build Skills and Confidence
  1048.    wt: 2:   Which Way To Go
  1049.    wt: 1:   website reviews
  1050.    wt: 1:   site origins
  1051.    wt: 1:   Theory of Knowledge
  1052.    wt: 1:   C Energy Power03
  1053.    wt: 1:   A Energy Power01
  1054.    wt: 1:   H Series Circuit02
  1055.    wt: 1:   G Series Circuit01
  1056.    wt: 1:   E Kirchoffs Second Law
  1057.    wt: 1:   1 Speaking Skills
  1058.    wt: 1:   17F Law of cosines
  1059.    wt: 1:   7 period of sine and cosine
  1060.    wt: 1:   14 Law of cosines
  1061.    wt: 1:   6 Field Properties of Complex Number
  1062.    wt: 1:   Four Simple Exercises
  1063.    wt: 1:   5 Side Angle Side
  1064.    wt: 1:   6 Unsigned Real Numbers
  1065.    wt: 1:   2 Integers
  1066.    wt: 1:   More Exercises
  1067.    wt: 1:   Simple Exercises
  1068.    wt: 1:   10 One Example
  1069.    wt: 1:   8 One Example
  1070.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  1071.    wt: 1:   10 Volume of Pyramid
  1072.    wt: 1:   8 Sets of Numbers
  1073.    wt: 1:   12 GCD 2700 288 via Prime
  1074.    wt: 1:   8 multiplying signed numbers
  1075.    wt: 1:   6 adding signed numbers
  1076.    wt: 1:   21 Working With Signs
  1077.    wt: 1:   12 LCD GCD and LCM using Primes
  1078.    wt: 1:   B Powers of Ten
  1079.    wt: 1:   Volume of Solid by Cross Sections Lesson
  1080.    wt: 1:   Example 2
  1081.    wt: 1:   Example 1
  1082.    wt: 1:   Summary
  1083.    wt: 1:   21 Chain Rule for powers
  1084.    wt: 1:   9 Reciprocal rule
  1085.    wt: 1:   6 Power rule from product rule
  1086.    wt: 1:   5 Product Rule
  1087.    wt: 1:   B. Domino effect of errors
  1088.    wt: 1:   Site Reviews
  1089.    wt: 15:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1090.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1091.    wt: 12:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  1092.    wt: 12:   25 Absolute Value greatest integer and saw tooth functions
  1093.    wt: 12:   14 Why Scalar Multiplication Distributes Physical Argument
  1094.    wt: 12:   Construction Methods and Criteria for Isometric and Similar Triangles
  1095.    wt: 12:   31 basic secant cosecant cotangent trig identities
  1096.    wt: 12:   7 Translations Rotations Reflections Dilatations
  1097.    wt: 12:   C Equality for Fractions and Two Term Ratios and Fractions
  1098.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1099.    wt: 11:   3 Natural Logarithms and Exponentials Basic Properties
  1100.    wt: 11:   Rewriting algebraic substitution as function substitutions
  1101.    wt: 11:   3 Straight Lines Slope as Tangent of Inclination Angle
  1102.    wt: 11:   29 secant cosecant and cotangent for acute angles
  1103.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  1104.    wt: 11:   13 Pythagorean spatial distance formulas
  1105.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  1106.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  1107.    wt: 11:   13 Limits with Parameters and Derivatives Take II
  1108.    wt: 10:   C LAMP Introduction Culture in Mathematics Education
  1109.    wt: 10:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  1110.    wt: 10:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  1111.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1112.    wt: 10:   SAS Method For Isometric Or Proportional Triangle Construction
  1113.    wt: 10:   13 Navigation Location from Angles to 2 Landmarks
  1114.    wt: 10:   5 Cartesian Addition and Translation
  1115.    wt: 10:   15 Head to Tails in place Addition Associative
  1116.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation
  1117.    wt: 10:   3 Harder Cases Convert to Compare and Subtract
  1118.    wt: 10:   11 Place Value SI Standard International way
  1119.    wt: 10:   12 Limits with Parameters and Derivatives Take I
  1120.    wt: 10:   Chapter 19. Exponentials and Natural Logarithms
  1121.    wt: 10:   Chapter 14 Limits and Continuity with and sans Decimals
  1122.    wt: 10:   Chapter 29 Contrapositive and Vacuously True Implications
  1123.    wt: 10:   Chapter 2 For and Against Mathematics
  1124.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1125.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1126.    wt: 10:   V Reasons and Motivations for Logic and Mathematics
  1127.    wt: 10:   Primary and Secondary Skills and Practices with Take Home Value
  1128.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

1146 matches:

  1.    wt: 9:   chapitre 05 00 Deception
  2.    wt: 9:   problemes algebre et arithmetique
  3.    wt: 9:   2 Unlike resistors in parallel01
  4.    wt: 9:   23 Modularized Skill Development Modularized Rigor
  5.    wt: 9:   18 Primary School Mathematics
  6.    wt: 9:   8 The Effect of Negative Remarks
  7.    wt: 9:   7 Student Motivation
  8.    wt: 9:   5 Patience Please for Yourself and Your Charges
  9.    wt: 9:   Ages 9 to 10
  10.    wt: 9:   Ages 8 to 9
  11.    wt: 9:   Ages 7 to 8
  12.    wt: 9:   Ages 6 to 7
  13.    wt: 9:   Ages 4 plus to 5 plus
  14.    wt: 9:   22 Square Root function graphically
  15.    wt: 9:   21 Graphs of functions given by Horizontal Line Method
  16.    wt: 9:   10 Interval Notation
  17.    wt: 9:   9 Set theory term relation possible origins
  18.    wt: 9:   8 Set view of relations and functions
  19.    wt: 9:   14 Law of cosines
  20.    wt: 9:   6 Field Properties of Complex Number
  21.    wt: 9:   15 Real Number Division
  22.    wt: 9:   8 Sets of Numbers
  23.    wt: 9:   1 Three Skills For Algebra
  24.    wt: 9:   6 GCD from Prime
  25.    wt: 9:   D Remainders Modulo 11 Pair Rule
  26.    wt: 9:   9 Multiplying Integers
  27.    wt: 9:   G.5 Motions With Bounded Velocities
  28.    wt: 9:   F.5b Extreme Value Theorem
  29.    wt: 9:   E1 Error Control Inequalities
  30.    wt: 9:   D1 Sets and Sequences GLBs and LGBs
  31.    wt: 9:   A1. Introduction
  32.    wt: 9:   Foreword
  33.    wt: 9:   Postscript More on Better Performance
  34.    wt: 9:   Postscript For Better Performance
  35.    wt: 9:   Appendix D. What to do in School and Why
  36.    wt: 9:   Appendix A. Reading Guide For Next Appendices
  37.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  38.    wt: 9:   Chapter 20. Degrees and Radians
  39.    wt: 9:   Chapter 19. Functions and Sets
  40.    wt: 9:   Chapter 15. Solving Linear Equations
  41.    wt: 9:   Chapter 13. Second Reading Guide
  42.    wt: 9:   Chapter 12. Shorthand Usage Guide
  43.    wt: 9:   Chapter 11. Why Shorthand
  44.    wt: 9:   Chapter 8 Three Skills For Algebra
  45.    wt: 9:   Solutions For Arithmetic Exercises
  46.    wt: 9:   Chapter 6 Change of Language
  47.    wt: 9:   Chapter 12 Four Phases
  48.    wt: 9:   S Adding words to algebra
  49.    wt: 9:   Q How Logic and Proofs extend Show Work Practices
  50.    wt: 9:   L Skills with take home value
  51.    wt: 9:   A. Skill has to be seen to believed
  52.    wt: 8:   chapitre 04 02 Deuxieme enigme
  53.    wt: 8:   chapitre 04 01 Premiere enigme
  54.    wt: 8:   3 Energy Power Heat08
  55.    wt: 8:   A Circuit Elements
  56.    wt: 8:   24 Standards For Skill Develoment
  57.    wt: 8:   11 Help and Defend Your Child or Teens Education
  58.    wt: 8:   10 Ends values for work study instruction
  59.    wt: 8:   3 Preparing for Science Studies
  60.    wt: 8:   19 Horizontal line rule and method
  61.    wt: 8:   18 Vertical Line Rule and Method
  62.    wt: 8:   16 Increasing or decreasing on intervals
  63.    wt: 8:   15 Sign analysis of functions
  64.    wt: 8:   12 Function Domain Recognition Exercises
  65.    wt: 8:   7 Functions with finite domains
  66.    wt: 8:   6 Unsigned Real Numbers
  67.    wt: 8:   2 Integers
  68.    wt: 8:   F.4 Finite Covering Theorem
  69.    wt: 8:   F.2 Closed Range Theorem
  70.    wt: 8:   D2 Limits of Monotone Sequences
  71.    wt: 8:   B1 Pigeon Hole Principles from combinatorics
  72.    wt: 8:   Appendix C. How to Read
  73.    wt: 8:   Chapter 28 Occurrence Tables
  74.    wt: 8:   Chapter 22. Geometric Sums and Sequences
  75.    wt: 8:   Chapter 21. Third Reading Guide
  76.    wt: 8:   Chapter 18. Rules for Algebra
  77.    wt: 8:   Chapter 16. Painless Theorem Proving
  78.    wt: 8:   Chapter 4 Longer Chains of Reason
  79.    wt: 8:   Chapter 5 Four References
  80.    wt: 8:   Foreword
  81.    wt: 8:   1 Links to Online Resources Elsewhere Take 1
  82.    wt: 8:   J. More on written work and showing skill
  83.    wt: 8:   I. Logic and language skills
  84.    wt: 8:   H more Routine to non routine problem solving
  85.    wt: 8:   E. When and how to correct errors
  86.    wt: 8:   C. Domino effect of being careful
  87.    wt: 8:   Talking pdf files for online lessons a webvideo alternative
  88.    wt: 8:   The Math Forum and Site Content
  89.    wt: 7:   4 Energy Power Heat09
  90.    wt: 7:   2 Energy Power Heat07
  91.    wt: 7:   1 Energy Power Heat06
  92.    wt: 7:   C Energy Power03
  93.    wt: 7:   1 Like resistors in series
  94.    wt: 7:   F Unlike Resistors in Series
  95.    wt: 7:   D Kirchoff First Law
  96.    wt: 7:   Home Tutoring and Home Schooling
  97.    wt: 7:   15 Counting For Parents
  98.    wt: 7:   2 Reading and Writing Skills
  99.    wt: 7:   26 Function definitions done and coming
  100.    wt: 7:   23 Inverse Functions
  101.    wt: 7:   14 Surjections Injections Bijections
  102.    wt: 7:   Introduction Reading Guide
  103.    wt: 7:   Appendix B. How To Learn
  104.    wt: 7:   H Jigsaw puzzles and problem solving
  105.    wt: 7:   How to Build Skills and Confidence
  106.    wt: 6:   deux definitions pour variable
  107.    wt: 6:   A Energy Power01
  108.    wt: 6:   H Series Circuit02
  109.    wt: 6:   G Series Circuit01
  110.    wt: 6:   E Kirchoffs Second Law
  111.    wt: 6:   7 Links Lessons Elsewhere
  112.    wt: 6:   Foreword
  113.    wt: 6:   B. Domino effect of errors
  114.    wt: 5:   liens
  115.    wt: 5:   E Energy Power05
  116.    wt: 5:   D Energy Power04
  117.    wt: 5:   B Energy Power02
  118.    wt: 5:   1 Speaking Skills
  119.    wt: 5:   Road Safety Questions
  120.    wt: 4:   problemes responses
  121.    wt: 4:   logique deux enigme
  122.    wt: 4:   Foreword
  123.    wt: 2:   Site Reviews
  124.    wt: 29:   Construction Methods and Criteria for Isometric and Similar Triangles
  125.    wt: 29:   13 Pythagorean spatial distance formulas
  126.    wt: 29:   3 Harder Cases Convert to Compare and Subtract
  127.    wt: 28:   3 Straight Lines Slope as Tangent of Inclination Angle
  128.    wt: 27:   SAS Method For Isometric Or Proportional Triangle Construction
  129.    wt: 27:   5 Cartesian Addition and Translation
  130.    wt: 27:   1 Comparison and Subtraction Easy Direct Cases
  131.    wt: 26:   Proportionality of Line Segments From Parallel Transversals
  132.    wt: 26:   Parallel Lines and Alternating Corresponding Angles
  133.    wt: 26:   Analytic View of Triangle Construction or Line Instersection More
  134.    wt: 26:   6 Tangent Function Inclination Angle Take 2
  135.    wt: 26:   PS F Scalar Multiplication Distributes over Addition
  136.    wt: 26:   A Elementary Basis for Multiplication Methods
  137.    wt: 26:   7 Subtraction for Decimal Fractions with Exercises
  138.    wt: 25:   Parallel Lines and Parallel Transversals
  139.    wt: 25:   Straight Lines ASA Intersection Study More
  140.    wt: 25:   Straight Lines ASA Intersection Study
  141.    wt: 25:   14 Straight Lines Equations General Case
  142.    wt: 25:   13 Straight Lines Finding Equations from 2 points
  143.    wt: 25:   7 Tangent Function is odd on this domain
  144.    wt: 25:   10 Pythagorean plane distance formula
  145.    wt: 25:   6 Polar Multiplication and Rotation
  146.    wt: 25:   3 GE III Equation Addition and Multiplication
  147.    wt: 25:   6 Multiplication Commutes Order Not Important
  148.    wt: 25:   Appendix 2 Three Decimal Subtraction Methods
  149.    wt: 25:   Appendix 1 Decimals Comparison Method Take II
  150.    wt: 25:   6 Subtraction with Conversion Example with Exercises
  151.    wt: 25:   4 Subtraction with Conversions Borrows and Letter J
  152.    wt: 25:   3. How to add with decimals A sans conversions
  153.    wt: 24:   4 Circle Sector Area proportional to Central Angle
  154.    wt: 24:   3 Circle Arclengh Proportional to Central Angle
  155.    wt: 24:   Straight Lines Instersection Solving Equations
  156.    wt: 24:   10 Straight Lines through Origin Equations More
  157.    wt: 24:   9 Straight Lines through Origin Equations
  158.    wt: 24:   8 Straight Lines Equation for vertical
  159.    wt: 24:   31 basic secant cosecant cotangent trig identities
  160.    wt: 24:   5 Trigonometric Ratios For Tangent and Special Triangles
  161.    wt: 24:   7 Translations Rotations Reflections Dilatations
  162.    wt: 24:   3 Rectangular Coordinates Review
  163.    wt: 24:   PS G Rotation Distributes over Addition
  164.    wt: 24:   PS D Addition with Cartesian Coordinates
  165.    wt: 24:   3 Gaussian Elimination 3 unknowns first example
  166.    wt: 24:   Video Decimal Multiplication Geometric View Example 2
  167.    wt: 24:   Subtraction Another Video Lesson
  168.    wt: 24:   8 Subtraction with Units of Measure
  169.    wt: 24:   5 A Tip for Efficent Subtraction
  170.    wt: 24:   2 Subtraction Easy Case Examples
  171.    wt: 23:   3 Natural Logarithms and Exponentials Basic Properties
  172.    wt: 23:   14 Why Scalar Multiplication Distributes Physical Argument
  173.    wt: 23:   Straight Lines Intersection of
  174.    wt: 23:   D Straight Lines Slope from Coordinates Examples
  175.    wt: 23:   A Straight Line Slope Scaling Properties
  176.    wt: 23:   12 Straight Lines Graphing mx plus b
  177.    wt: 23:   2 Straight Lines Slopes As Rise Over Run
  178.    wt: 23:   13 Navigation Location from Angles to 2 Landmarks
  179.    wt: 23:   8 Distance Between Points on a Line
  180.    wt: 23:   2 Cartesian Coordinates with signs
  181.    wt: 23:   1 Cartesian Coordinates sans signs
  182.    wt: 23:   PS E Multiplication with Polar Coordinates
  183.    wt: 23:   C Equality for Fractions and Two Term Ratios and Fractions
  184.    wt: 23:   5 Decimal Fraction Multiplication
  185.    wt: 23:   Video Decimal Multiplication Geometric View Example 2
  186.    wt: 23:   Subtraction with J Conversions Example
  187.    wt: 23:   7 Adding decimal fractions using decimal point
  188.    wt: 23:   6. Counting and adding units and mixed units
  189.    wt: 22:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  190.    wt: 22:   Parallel Lines and Interior Angles
  191.    wt: 22:   C Straight Lines Slope from Coordinates
  192.    wt: 22:   B Straight Line Slope Scaling Properties More
  193.    wt: 22:   11 Straight Lines Graphing y=mx
  194.    wt: 22:   5 Tangent Function Graph
  195.    wt: 22:   4 Tangent Function Properties
  196.    wt: 22:   29 secant cosecant and cotangent for acute angles
  197.    wt: 22:   12 Spatial Coordinates
  198.    wt: 22:   9 Pythagorean Theorem Chinese Square Proof
  199.    wt: 22:   4 Polar Coordinates to and from
  200.    wt: 22:   PS C Similarity Use Recognize it in Trigonometry
  201.    wt: 22:   PS B Parallelogram Construction Methods
  202.    wt: 22:   3 Lengths and Areas on Maps and Plans
  203.    wt: 22:   3 Geometric Formulas and Function Notation
  204.    wt: 22:   3 Solving triangular system example
  205.    wt: 22:   1 Addition and Subtraction with Units
  206.    wt: 22:   A Similarities between Fractions and Two Term Ratios
  207.    wt: 22:   A Decimals Modular and Remainder Arithmetic
  208.    wt: 22:   D Decimal Multiplication Methods Derived
  209.    wt: 22:   C Counting Areas with Powers of Ten
  210.    wt: 22:   4 Two and Three Digit Multipliers
  211.    wt: 22:   Video Power Notation in Decimal Expansion
  212.    wt: 22:   9 22 Minute Subtraction Review Video
  213.    wt: 22:   Appendix 1 Counting Revisited 15 minute video
  214.    wt: 22:   8 What skills and work habits to require
  215.    wt: 22:   4. How to add with decimals B with conversions
  216.    wt: 22:   1. Explaining Addition Table
  217.    wt: 22:   Primary and Secondary Skills and Practices with Take Home Value
  218.    wt: 22:   3 Telling Tracking Time Temporal and More Place Sense
  219.    wt: 22:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  220.    wt: 21:   C LAMP Introduction Culture in Mathematics Education
  221.    wt: 21:   9 Summary Degrees to Radians and back
  222.    wt: 21:   7 Radian Measures in special Triangles
  223.    wt: 21:   7 Coordinate Addition and Scalar Multiplication
  224.    wt: 21:   2 Graphing y=Af(x) Vertical Scaling
  225.    wt: 21:   Triangle Angles Sum To 180 Degrees
  226.    wt: 21:   1 Straight Lines Slope Concept
  227.    wt: 21:   4 Trigonometric Ratios For Two Special Triangles
  228.    wt: 21:   10 Similarity of Triangles Equivalent of Two Criteria
  229.    wt: 21:   11 Triangle Inequality
  230.    wt: 21:   PS A Kite Construction Methods
  231.    wt: 21:   18 Triangle Similarity Take 1
  232.    wt: 21:   9 Construction of a right bisector
  233.    wt: 21:   3 Isometry of Triangles Congruence
  234.    wt: 21:   5 Drawing to Scale Avoids Angle Distortions
  235.    wt: 21:   4 Rates Ratios and Proporitionality
  236.    wt: 21:   2 More and Less Than for Counts and Measures
  237.    wt: 21:   5 Gaussian Elimination for 3 unknowns 2nd example
  238.    wt: 21:   4 Solving a triangular system exercise
  239.    wt: 21:   2 Essentially one exercises three with solution
  240.    wt: 21:   3 Two Examples
  241.    wt: 21:   5 Counting with Tables Trees Product Rule Take II
  242.    wt: 21:   5 Reciprocals and Division for Fractions with Units
  243.    wt: 21:   Fraction Operations by Raising Terms A Simple Innovation
  244.    wt: 21:   9 Remainder Arithmetic Divisibility by 5
  245.    wt: 21:   Long Division forwards and backwards Example 3
  246.    wt: 21:   3 More One Digit Multipliers
  247.    wt: 21:   5. How to add decimals C. Examples
  248.    wt: 21:   2 Decimal Counting Practices
  249.    wt: 21:   13 Limits with Parameters and Derivatives Take II
  250.    wt: 21:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  251.    wt: 21:   Chapter 3 Algebra Starter Lessons
  252.    wt: 21:   6 Measuring via counting or arithmetic the role of fractions
  253.    wt: 20:   5 Natural Logarithm Calculator Exercises
  254.    wt: 20:   16 cotangent function Definition Graph and Inverse
  255.    wt: 20:   11 arctan left inverse of tangent Graph
  256.    wt: 20:   10 arctan left inverse of tangent Definition
  257.    wt: 20:   2 Radian Measure Numerical Value of one degree
  258.    wt: 20:   1 Degrees and Radians Introduction
  259.    wt: 20:   34 sines and cosines of 2A 3A 4A 5A
  260.    wt: 20:   33 sines and cosines of 2A 3A 4A 5A
  261.    wt: 20:   2 Similar Triangles Equality of Corresponding Side Ratios
  262.    wt: 20:   Right Triangle and Unit Circle Trigonometry
  263.    wt: 20:   7 Exercises to test skill and concept mastery
  264.    wt: 20:   PS H Distributive Law For Complex Numbers
  265.    wt: 20:   19 Right Triangle Similarity
  266.    wt: 20:   17 Right Bisectors of Triangle Sides
  267.    wt: 20:   16 Angles Subtended By Chords and Diameters
  268.    wt: 20:   14 Parallel Lines Postulate
  269.    wt: 20:   13 Angle Side Angle Failure
  270.    wt: 20:   11 Triangle Construction Fails
  271.    wt: 20:   6 Ruler and compass Angle Bisection
  272.    wt: 20:   1 Initial Concepts and Terms
  273.    wt: 20:   4 Angles on Maps Plans drawn to scale
  274.    wt: 20:   5 Proportionality in Equivalent Fractions
  275.    wt: 20:   5 Greater More Less Than Signs in General
  276.    wt: 20:   3 More and Less Than with Unlike Signs
  277.    wt: 20:   2 Computation Rules Evaluation
  278.    wt: 20:   1 Formulas Dependence and Function Notation
  279.    wt: 20:   3 Counting with Tables and Trees II
  280.    wt: 20:   6 Simplification of Fractions with Units
  281.    wt: 20:   8 Numerals Fractionals Quantals Take II
  282.    wt: 20:   13 Remainder Arithmetic Modulo 5 Example
  283.    wt: 20:   7 Calculator Usage Notes and Cautions
  284.    wt: 20:   Long Division forwards and backwards Example 2
  285.    wt: 20:   Long Division forwards and backwards Example 1
  286.    wt: 20:   7 Long Divison Mistake Catching
  287.    wt: 20:   6 Why Decimal Long Division Methods Works Take I
  288.    wt: 20:   3 Division Single Digit Divisor Example
  289.    wt: 20:   1 Why 3 times 5 gives 15
  290.    wt: 20:   9 Comparison and Subtraction of Time Intervals
  291.    wt: 20:   8 Addition of Time Intervals via subtotaling
  292.    wt: 20:   12 Limits with Parameters and Derivatives Take I
  293.    wt: 20:   5 Interpreting and Drawing Maps and Plans.
  294.    wt: 20:   2 Identifying Size and Position Place and Spatial Sense
  295.    wt: 20:   1 From Number Recognition and Counting to Arithmetic A
  296.    wt: 20:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  297.    wt: 19:   Math Ed if it must be short make it lean effective
  298.    wt: 19:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  299.    wt: 19:   8 Formulas for Fractional Exponents with Logarithms
  300.    wt: 19:   15 cosecant function Definition Graph and Inverse
  301.    wt: 19:   13 cosecant function Definition Graph and Inverse
  302.    wt: 19:   12 motivation for term arctan
  303.    wt: 19:   8 Radian Measures of Common Angles
  304.    wt: 19:   6 Radian Measure to Degrees
  305.    wt: 19:   5 Degrees to Radian Measure
  306.    wt: 19:   3 Navigation with Arrows or Vectors
  307.    wt: 19:   35 sines and cosines of 2A 3A 4A 5A
  308.    wt: 19:   30 unit circle calculation of six trigonometric functions
  309.    wt: 19:   16 Right Triangle Complementary Angle Relations
  310.    wt: 19:   11 tangent function undefined when terminal side vertical
  311.    wt: 19:   3 Trigonometric Ratios sine and cosine
  312.    wt: 19:   Why Trigonometry the whyslopes view
  313.    wt: 19:   9 Similarity of Triangles Usual Criteria
  314.    wt: 19:   3 Similarity by Design with coordinates
  315.    wt: 19:   7 Complex Numbers Appetizer
  316.    wt: 19:   15 Triangle Angle Sum is 180 degrees
  317.    wt: 19:   8 More Use of Maps Not Drawn to Scale
  318.    wt: 19:   6 Figuring with Maps Not to Scale
  319.    wt: 19:   15 Head to Tails in place Addition Associative
  320.    wt: 19:   3 Proportionality Examples
  321.    wt: 19:   2 Addition and Multiplication Axioms
  322.    wt: 19:   4 Comparison of Negative Numbers
  323.    wt: 19:   4 GE III Animated Examples
  324.    wt: 19:   1 GE Substitution four examples
  325.    wt: 19:   5 Algebraic Solutions Introduction
  326.    wt: 19:   4 Four Examples Fractional Coefficients
  327.    wt: 19:   Skill Development Notes
  328.    wt: 19:   9 Three Examples
  329.    wt: 19:   7 Two Examples
  330.    wt: 19:   6 Three Examples
  331.    wt: 19:   5 Three Examples
  332.    wt: 19:   4 Two Examples
  333.    wt: 19:   2 Three Examples
  334.    wt: 19:   6 Pythagorean Hypotenuse Calculation Example
  335.    wt: 19:   2 Another Rectangle Area Formula Example
  336.    wt: 19:   4 Counting with Trees Product Rule Take I
  337.    wt: 19:   2 Counting with Tables and Trees I
  338.    wt: 19:   17 Efficient Ways to Add and Subtract
  339.    wt: 19:   16 Addition Subtraction Comparision Compared
  340.    wt: 19:   15 Adding and Subtracting with Unlike Denominators
  341.    wt: 19:   14 Adding and Subtracting with Like Denominators
  342.    wt: 19:   6 Multiplication Algebraically Take II
  343.    wt: 19:   3 Unit fraction of a fraction
  344.    wt: 19:   25 Divisibility Tests for 2 3 5 9 10 Example
  345.    wt: 19:   15 Remainder Arithmetic Modulo 9 Example
  346.    wt: 19:   14 Remainder Arithmetic Modulo 9 Example
  347.    wt: 19:   12 Remainder Arithmetic Modulo 10 Example
  348.    wt: 19:   11 Remainder Arithmetic Long Division by 5 Quickly more
  349.    wt: 19:   10 Remainder Arithmetic Long Division by 5 Quickly
  350.    wt: 19:   8 Remainder Arithmetic Morulo 5 Examples II
  351.    wt: 19:   7 Remainder Arithmetic Modulo 5 Examples I
  352.    wt: 19:   6 Remainder Arithmetic Modulo 5 Propertie
  353.    wt: 19:   3 Remainder Arithmetic Modulos 10 more still
  354.    wt: 19:   18 video Count Factors given Prime Factorization
  355.    wt: 19:   10 video Prime Factorization upto 23 squared
  356.    wt: 19:   5 Prime Factorization and a Square Rule
  357.    wt: 19:   3 video Primes and Composites from 9 times table
  358.    wt: 19:   Division with Counts and Length
  359.    wt: 19:   11 Another Single Digit Divisor Example
  360.    wt: 19:   8 Correcting the Mistake
  361.    wt: 19:   2 One Digit Multipliers
  362.    wt: 19:   11 Place Value SI Standard International way
  363.    wt: 19:   3 Motivation for Limit Definition Take 2
  364.    wt: 19:   7 Evaluation by immediate or delayed substitution
  365.    wt: 19:   Chapter 19. Exponentials and Natural Logarithms
  366.    wt: 19:   Chapter 14 Limits and Continuity with and sans Decimals
  367.    wt: 19:   Chapter 4 Logic for Reading Writing and Geometry etc
  368.    wt: 19:   7 Games and Activities for Instruction
  369.    wt: 19:   4 Money Matters Saving Earning Buying Selling and Budgets
  370.    wt: 19:   1 From Number Recognition and Counting to Arithmetic B
  371.    wt: 19:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  372.    wt: 18:   Appendix 1 primary and preschool mathematic
  373.    wt: 18:   H LAMP Introduction Instructional Concepts
  374.    wt: 18:   E LAMP Introduction Modern Mathematics
  375.    wt: 18:   B LAMP Introduction Curriculum Development Standards
  376.    wt: 18:   Ramblings Introduction Algebra Essay
  377.    wt: 18:   5 logarithms and exponentials etc
  378.    wt: 18:   sign monoticity analysis example 3
  379.    wt: 18:   9 quadratics physical and further context
  380.    wt: 18:   7 Formulas for Roots with Logarithms Derivation
  381.    wt: 18:   1 Calculator Starter Exercises
  382.    wt: 18:   14 secant function Definition Graph and Inverse
  383.    wt: 18:   5 Swapping Coordinates is a reflection
  384.    wt: 18:   A Global Time and Navigation
  385.    wt: 18:   5 Head To Tail Arrow Addition
  386.    wt: 18:   4 graphing y=Asin(x c)
  387.    wt: 18:   3 graphing y=f(x c) plus K
  388.    wt: 18:   1 graphing y=f(x a)
  389.    wt: 18:   19 Pythagorean Identity For sine and cosine functions
  390.    wt: 18:   13 Graph of tangent function many periods
  391.    wt: 18:   Right Triangle and Unit Circle Trigonometry
  392.    wt: 18:   7 Trignometric Ratios Unit Circle
  393.    wt: 18:   6 Trigonometry Sines of Supplementary Angles
  394.    wt: 18:   5 Similarity of Circles Squares and Rectangles
  395.    wt: 18:   4 Similarity Definition with Coordinate
  396.    wt: 18:   Euclidean Geometry Elsewhere LINKS
  397.    wt: 18:   21 Parallelograms
  398.    wt: 18:   10 Dropping a perpendicular to line
  399.    wt: 18:   8 Isoceles Triangles
  400.    wt: 18:   2 Correspondence between Triangles
  401.    wt: 18:   Short Course on Euclidean Geometry
  402.    wt: 18:   23 Distributive Law Two Derivations
  403.    wt: 18:   14 Vector Head to Tail Sums and Resultants
  404.    wt: 18:   4 Fraction Operations Axiomatic Development
  405.    wt: 18:   1 What is Proportionality
  406.    wt: 18:   6 Equations and Systems Equivalent or Implied
  407.    wt: 18:   4 Subtraction and Division Axioms
  408.    wt: 18:   1 Real Numbers Comparison
  409.    wt: 18:   6 Algebraic Solution Example
  410.    wt: 18:   10 One Example
  411.    wt: 18:   8 One Example
  412.    wt: 18:   3 Triangle Area Formula Example
  413.    wt: 18:   2 Least Common Multiple LCM intro via list method
  414.    wt: 18:   4 Fractions with Units
  415.    wt: 18:   3 Multiplying Units and Numbers
  416.    wt: 18:   2 Equality and Units
  417.    wt: 18:   B Fractions and Two Term Ratios
  418.    wt: 18:   13 Fraction Comparison Algebraic View
  419.    wt: 18:   7 Numerals Fractionals Quantals
  420.    wt: 18:   1 What is a fraction Take II
  421.    wt: 18:   24 Divisibility Tests for 2 3 5 9 10
  422.    wt: 18:   23 Remainder Arithmetic Modulo 2
  423.    wt: 18:   22 Remainder Arithmetic Modulo 3 more
  424.    wt: 18:   21 Remainder Arithmetic Modulo 3
  425.    wt: 18:   19 Remainder Arithmetic Rule of 9 for checking sums III
  426.    wt: 18:   16 Remainder Arithmetic Modulo 9 Example 2
  427.    wt: 18:   4 Remainder Arithmetic Modulo 10 in general
  428.    wt: 18:   15 video Factors of 20 using Prime Factorization
  429.    wt: 18:   9 video Prime Factorization upto 19 squared
  430.    wt: 18:   4 video Prime Factorization Introduction
  431.    wt: 18:   1 video how Products are bigger than factor
  432.    wt: 18:   Long Division Backward
  433.    wt: 18:   12 Why Long Division Works Take III
  434.    wt: 18:   10 Division by Five Long and Short Ways
  435.    wt: 18:   9 Why Long Division Works Take II
  436.    wt: 18:   2 Division with Single Digit Divisors
  437.    wt: 18:   B Powers of Ten
  438.    wt: 18:   012 Division of Time Intervals by Time Intervals
  439.    wt: 18:   010 Repeated Addition of Time Intervals
  440.    wt: 18:   2 Time and Date Matters in School
  441.    wt: 18:   38 Formulas and derivatives for powers and roots
  442.    wt: 18:   36 Cube root derivative animated
  443.    wt: 18:   7 Animated Differentiation Examples
  444.    wt: 18:   2 Motivation for Limit Definition Take 1
  445.    wt: 18:   Postscript Pythagorean Theorem yet another proof
  446.    wt: 18:   Chapter 22 Contrapositive and Vacuously True Implications
  447.    wt: 18:   Chapter 16 Origins and Limitations of Rules and Patterns
  448.    wt: 18:   Chapter 7 Calculus Previews and Calculus Lightly
  449.    wt: 18:   Chapter 6 More Algebra and Geometry
  450.    wt: 18:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  451.    wt: 17:   I LAMP Introduction Study Habits
  452.    wt: 17:   Skills Chapter 3 Algebra
  453.    wt: 17:   10 statistics
  454.    wt: 17:   9 combinatorics probability sets
  455.    wt: 17:   8 analytic geometry etc
  456.    wt: 17:   7 logic review and decimals an odd combination
  457.    wt: 17:   3 Euclidean Geometry Leanly
  458.    wt: 17:   teaching tutoring algebraic reason
  459.    wt: 17:   three goals for Mathematics Education
  460.    wt: 17:   three aims for mathematics students
  461.    wt: 17:   Education in mathematics science and technology
  462.    wt: 17:   8 quadratics backward use of various formulas
  463.    wt: 17:   3 quadratics factoring by inspection
  464.    wt: 17:   9 Formulas for Real Exponents with Logarithms
  465.    wt: 17:   6 Formulas for Even and Odd Roots with Logarithms
  466.    wt: 17:   9 motivation for name arcsin
  467.    wt: 17:   4 possible motivation for term arccos
  468.    wt: 17:   12 From Applied To Pure Mathematics
  469.    wt: 17:   10 Parallelogram Addition Method
  470.    wt: 17:   9 Head to Tail Coordinate View
  471.    wt: 17:   17 tangent function angle sum formulas
  472.    wt: 17:   32 seven rows of pascals triangle
  473.    wt: 17:   25 tangent double angle formula Slope connection
  474.    wt: 17:   24 tangent Angle Difference Formula
  475.    wt: 17:   17D cis formulas for sine cosines and tangent
  476.    wt: 17:   17A The complex number valued trig function cis
  477.    wt: 17:   15 sine cosine Complementary Angle Relations
  478.    wt: 17:   14 cosine even and sine and tangent are odd
  479.    wt: 17:   1 Unit Points Reflections Rotations
  480.    wt: 17:   8 Triangles Cascade Problem Solving
  481.    wt: 17:   1 Angle Measurement with Degrees
  482.    wt: 17:   11 Triangle Similarity Missing Side Problem
  483.    wt: 17:   8 Similarity of Triangles and Polygons
  484.    wt: 17:   6 Geometric Diagrams in Class
  485.    wt: 17:   11 A Partial Summary
  486.    wt: 17:   9 Midpoint Coordinates Half Endpoint Sum
  487.    wt: 17:   1 Numerical view of lines and their equations
  488.    wt: 17:   What is and is not here
  489.    wt: 17:   12 Side Angle Side Failure
  490.    wt: 17:   7 Angle Side Angle
  491.    wt: 17:   A Measurement with Ruler Proper Use
  492.    wt: 17:   2 Measuring Area Directly
  493.    wt: 17:   25 Mid way Convergence to Axiomatic Approach
  494.    wt: 17:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  495.    wt: 17:   17 Arrows Rotate to Reverse with Length Unchanged
  496.    wt: 17:   3 Location of Point in Decimal Multiplication
  497.    wt: 17:   B Decimal Comparison and Subtraction
  498.    wt: 17:   1 Decimals Modular and Remainder Arithmetic
  499.    wt: 17:   9 Circle Area and Perimeter Formula Backwards Forwards
  500.    wt: 17:   8 Pythagorean Relation Forwards Backwards
  501.    wt: 17:   4 Rectangle Area and Like Formulas Backwards
  502.    wt: 17:   1 Equivalent Computation Rules
  503.    wt: 17:   5 Independent versus Dependent Variables
  504.    wt: 17:   4 Changing Letters
  505.    wt: 17:   2 GE II Comparison
  506.    wt: 17:   1 Essentially One Unknown
  507.    wt: 17:   3 Four Examples
  508.    wt: 17:   8 Compound Interest Formula Evaluation
  509.    wt: 17:   9 Sets in Probability and Statistics
  510.    wt: 17:   1 Counting and Counting Methods I
  511.    wt: 17:   3 signed coordinates for maps and planes
  512.    wt: 17:   7 Converting or Changing Units
  513.    wt: 17:   10 Simplification of Fractions and Mixed Numerals
  514.    wt: 17:   2 Unit Fraction Multiplication
  515.    wt: 17:   A Associative Law Theorectical Note
  516.    wt: 17:   27 Divisibility by 2 3 6 5 9 10 Example
  517.    wt: 17:   26 Divisibility by 2 3 5 Example
  518.    wt: 17:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  519.    wt: 17:   18 Remainder Arithmetic Rule of 9 for checking sums II
  520.    wt: 17:   17 Remainder Arithmetic Rule of 9 for checking sums I
  521.    wt: 17:   5 Remainder Arithmetic Modulo 5
  522.    wt: 17:   2 Remainder Arithmetic Modulo 10 more
  523.    wt: 17:   1 Remainder Arithmetic Modulo 10
  524.    wt: 17:   17 Identify and Count Factors using Primes
  525.    wt: 17:   8 video Prime Factorization upto 19
  526.    wt: 17:   6 Sieve of Eratosthenes and Square Rule
  527.    wt: 17:   Long Division Backwards more
  528.    wt: 17:   4 Division with 2 Digit Divsors
  529.    wt: 17:   3 More on Groups of 3 Multi Digit Place Value
  530.    wt: 17:   013 Travel Time Tables
  531.    wt: 17:   Example 1. Area Between x and x squared
  532.    wt: 17:   34 Derivative of exponential function
  533.    wt: 17:   33 Chain Rule Real Player video examples
  534.    wt: 17:   25 Chain Rule Animated Examples Continued
  535.    wt: 17:   13 sine and cosine derivatives 1st step
  536.    wt: 17:   1 Fall 1983 Why Slopes Appetizer
  537.    wt: 17:   Chapter 18. Slopes Areas Integration
  538.    wt: 17:   Chapter 15. Algebraic Evaluation of Limits
  539.    wt: 17:   Chapter 14 Deductive and Empirical Views of Mathematics
  540.    wt: 17:   Chapter 3 What is in chapters 4 to 8
  541.    wt: 17:   Appendix A Calculus with Proofs for Keen or Gifted
  542.    wt: 17:   Chapter 8 Skipped Topics and Why
  543.    wt: 17:   Chapter 1 Arithmetic
  544.    wt: 17:   Systematic Algebra Skill Development Missing Links
  545.    wt: 17:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  546.    wt: 16:   Appendix 2 primary school Arithmetic 01
  547.    wt: 16:   F LAMP Introduction Prerequisites
  548.    wt: 16:   Skills Chapter 1 Arithmetic
  549.    wt: 16:   11 pure mathematics
  550.    wt: 16:   2 arithmetic with signed numbers
  551.    wt: 16:   1 arithmetic with unsigned numbers
  552.    wt: 16:   Applied Maths Program14092009 POMME variant
  553.    wt: 16:   grouping students according to ability
  554.    wt: 16:   mathematics in context
  555.    wt: 16:   talk the algebra talk
  556.    wt: 16:   mathematics instruction in general
  557.    wt: 16:   sign monoticity analysis example 4
  558.    wt: 16:   sign monoticity analysis example 2
  559.    wt: 16:   sign monoticity analysis example 1
  560.    wt: 16:   25 Absolute Value greatest integer and saw tooth functions
  561.    wt: 16:   7 quadratic formulla derivation
  562.    wt: 16:   6 quadratics numerical approach
  563.    wt: 16:   5 quadratics completing the square
  564.    wt: 16:   10 Exponential Growth and Decay Models
  565.    wt: 16:   2 Square Root Simplification a prequel
  566.    wt: 16:   3 Left Inverse of cosine arccos definition
  567.    wt: 16:   4 Resultant of a Sum of Movements
  568.    wt: 16:   18 sum of sinusoidal waves as a single wave
  569.    wt: 16:   17E Trig Formulas for dot and cross Products
  570.    wt: 16:   12 Graph of tangent function for one period
  571.    wt: 16:   12 Triangles Similarity More Problems
  572.    wt: 16:   1 Early Concept of Like or Similar Shapes
  573.    wt: 16:   10 Midpoint of [a b] and [b a]
  574.    wt: 16:   6 Intersection of lines by solving linear systems
  575.    wt: 16:   3 Slope product for perpendicular lines
  576.    wt: 16:   2 point slope equation for a line
  577.    wt: 16:   5 Side Angle Side
  578.    wt: 16:   1 Length Measurement
  579.    wt: 16:   A Modular and Remainder Arithmetic
  580.    wt: 16:   26 More Less Greater Than Comparison
  581.    wt: 16:   18 Geometrically Why Vector Addition Commutes
  582.    wt: 16:   9 Division with Digits after Decimal Point
  583.    wt: 16:   7 Arithmetic with Infinite Decimal Expansions
  584.    wt: 16:   C Three Decimal Subtraction Methods
  585.    wt: 16:   7 Decimals Multiplication Methods Examples
  586.    wt: 16:   4 Commutative Law Groups Counting Form
  587.    wt: 16:   3 Multiplicative Counting Skills Principles
  588.    wt: 16:   5 Areas of Rectangles Revisited
  589.    wt: 16:   3 Inequalities Algebraically
  590.    wt: 16:   2 Fraction Operations Physical Development
  591.    wt: 16:   5 Triangle Area Formula Backwards
  592.    wt: 16:   3 Linear Equation Literal Solution More
  593.    wt: 16:   5 Equality in Algebra
  594.    wt: 16:   3 Product Axioms Two Forms
  595.    wt: 16:   2 Three Examples
  596.    wt: 16:   1 Proper Equal Sign Usage
  597.    wt: 16:   Using Letters for Physical Quantities
  598.    wt: 16:   13 Naming Identifying Formulas with Words
  599.    wt: 16:   7 Compound Interest Formula Introduction
  600.    wt: 16:   1 Written work formats for developing and showing skill
  601.    wt: 16:   3 Properties of Square Roots with example
  602.    wt: 16:   1 Squares and Square Roots Introduction
  603.    wt: 16:   11 Simplification an Algebraic View
  604.    wt: 16:   4 Fraction Multiplication
  605.    wt: 16:   1 What is a fraction
  606.    wt: 16:   20 Uniqueness of Prime Factorization
  607.    wt: 16:   19 video Prime Factorization Unique
  608.    wt: 16:   14 video Factors of 24 Take II
  609.    wt: 16:   13 video Factors of 24 using prime
  610.    wt: 16:   2 Prime and Composites less than 16
  611.    wt: 16:   5 Long Division Include Zeroes or not
  612.    wt: 16:   1 Divsion Physical Examples
  613.    wt: 16:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  614.    wt: 16:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  615.    wt: 16:   5 More on Groups of 3 Place Value in Decimal Fractions
  616.    wt: 16:   4 Groups of 3 Place Value in Decimal Fractions
  617.    wt: 16:   2 Groups of Three Place Value for Multidigit Decimals
  618.    wt: 16:   016 Numbering Occidental Calendar Days
  619.    wt: 16:   015 School and work day counting tables
  620.    wt: 16:   014 Counting Days with Calendars
  621.    wt: 16:   7 Addition of Time Intervals
  622.    wt: 16:   3 Units and Lengths of Time
  623.    wt: 16:   1 Intro of Kids To Time Date Skills
  624.    wt: 16:   Area Between Crossing Curves Lesson Take 2
  625.    wt: 16:   Area Between Crossing Curves Lesson Take 1
  626.    wt: 16:   Area Between Curves Lesson Take 2
  627.    wt: 16:   Area Between Curves Lesson Take 1
  628.    wt: 16:   A Chain Rule Real Player video examples
  629.    wt: 16:   31 Derivatives of inverse functions
  630.    wt: 16:   28 Chain Rule Preparation for a Proof
  631.    wt: 16:   24 Chain Rule Animated Examples
  632.    wt: 16:   17 Derivatives of quotients of sine and cosine
  633.    wt: 16:   15 sine and cosine derivatives 3rd step
  634.    wt: 16:   11 Limits at infinity Three Examples
  635.    wt: 16:   6 Continuity at a point
  636.    wt: 16:   3 Decimal insights for limits continuity convergence
  637.    wt: 16:   Chapter 24 Logarithms Powers and Exponentials
  638.    wt: 16:   Chapter 23 Links To Trigonometry
  639.    wt: 16:   Chapter 17. Area Approximation
  640.    wt: 16:   Chapter 13. Acceleration
  641.    wt: 16:   Chapter 6. Slopes and Vertical Shifts
  642.    wt: 16:   Chapter 3. Slope Sign Analysis
  643.    wt: 16:   Chapter 2 For and Against Mathematics
  644.    wt: 16:   Postscript C Consistency as a Tool for Reason
  645.    wt: 16:   Chapter 23 Truth Tables
  646.    wt: 16:   Chapter 17 Objective Ways Trial and Error Discovery
  647.    wt: 16:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  648.    wt: 16:   Chapter 11 Accidental Patterns
  649.    wt: 16:   Chapter 4 Implication Rules Forwards and Backwards
  650.    wt: 16:   Chapter 2 Why Sets
  651.    wt: 16:   Multiple Ways to Improve Mathematics Skill Development
  652.    wt: 16:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  653.    wt: 15:   J LAMP Introduction Extrinsic Origins
  654.    wt: 15:   A Introduction Objectives
  655.    wt: 15:   Ramblings Extrinsic numbers theory
  656.    wt: 15:   Skills Chapter 0 Introduction
  657.    wt: 15:   three goals to set for students
  658.    wt: 15:   Teach the teachers plus goals
  659.    wt: 15:   Mathematics Education Professors
  660.    wt: 15:   Education Reform Inconsistencies
  661.    wt: 15:   Secondary Three Mathematics
  662.    wt: 15:   Secondary Two Mathematics
  663.    wt: 15:   the trouble with algebra
  664.    wt: 15:   04 25 when to stop or suspend mathemat
  665.    wt: 15:   02 20 mathematics education references
  666.    wt: 15:   standards for course material
  667.    wt: 15:   Operational Viewpoint to Value
  668.    wt: 15:   three kinds of reason in mathematics
  669.    wt: 15:   How to be a better instructor
  670.    wt: 15:   Motivation and Context Problem
  671.    wt: 15:   education an empirical art
  672.    wt: 15:   words for mathematics instructor
  673.    wt: 15:   A Quadratics Summary
  674.    wt: 15:   4 quadratics difference of two squares
  675.    wt: 15:   2 quadratics graphing in general
  676.    wt: 15:   1 quadratics graphing exercises
  677.    wt: 15:   Quadratics in 10 steps
  678.    wt: 15:   6 Polynomial Operations and Equivalent Computation Rules
  679.    wt: 15:   8 arcsin left inverse of sine Graph
  680.    wt: 15:   7 arcsin left inverse of sine Definition
  681.    wt: 15:   6 Graph of arccos function
  682.    wt: 15:   13 Velocity Vectors in Physics
  683.    wt: 15:   6 Vectors with Coordinates
  684.    wt: 15:   Vector and Complex Number Applet
  685.    wt: 15:   27 Logarithmic use of products of sines and cosines
  686.    wt: 15:   22 sine of 22.5 degrees via half angle formulas
  687.    wt: 15:   21 sine and cosine Half Angle Formulas
  688.    wt: 15:   17G Pythagorean Theorem Converse
  689.    wt: 15:   17C sine and cosine double triple angle formulas
  690.    wt: 15:   17B sine cosine Angle Sum Formulas via cis
  691.    wt: 15:   8 period of tangent function
  692.    wt: 15:   6 sines and cosines for reference angle 30 degrees
  693.    wt: 15:   2 Quadrant I reference Angles
  694.    wt: 15:   Unit Circle Development of Trigonometry
  695.    wt: 15:   13 Trig Formulas for dot and cross Products
  696.    wt: 15:   5 An Easy Proof of the Distributive Law
  697.    wt: 15:   5 Algebraic View of Slopes
  698.    wt: 15:   4 Equations for lines three forms
  699.    wt: 15:   4 Side Side Side
  700.    wt: 15:   13 Arrows and Vectors in a Plane
  701.    wt: 15:   11 Signed Number Addition and Addition Properties
  702.    wt: 15:   8 Division and Mulplication of Compound Fractions
  703.    wt: 15:   5 Fractions with Infinite Decimal Expansions
  704.    wt: 15:   4 Location of Point in Decimal Addition
  705.    wt: 15:   2 Counting Digits in Decimal Multiplication
  706.    wt: 15:   1 Fractions with Finite Decimal Expansions
  707.    wt: 15:   A Decimal Addition Columm Methods
  708.    wt: 15:   8 Column Multiplication Methods in General
  709.    wt: 15:   6 Column Methods for Decimal Multiplication
  710.    wt: 15:   2 Algebraic View
  711.    wt: 15:   6 Compound Interest Forward and Backwards
  712.    wt: 15:   2 Linear Equation Literal Solution
  713.    wt: 15:   4 Circle Area Formula Example
  714.    wt: 15:   3 Comparison of Negative Numbers
  715.    wt: 15:   1 More and Less Than for Counts and Measures
  716.    wt: 15:   9 GCD of 360 110 via Primes and Euclid Algorithm
  717.    wt: 15:   1 Least Common Multiples LCM Introduction
  718.    wt: 15:   11 What are real lengths and numbers
  719.    wt: 15:   7 negative and additive inverse
  720.    wt: 15:   D Three Term Ratios
  721.    wt: 15:   21 Reciprocals for Fractions and Wholes
  722.    wt: 15:   20 Dividing Fractions the Why
  723.    wt: 15:   18 Efficient Ways to Multiply
  724.    wt: 15:   12 Fraction Comparison
  725.    wt: 15:   5 Equivalent Fractions
  726.    wt: 15:   Practical Methods Ends and Values for Arithmetic
  727.    wt: 15:   011 Division of Time Intervals By Numbers
  728.    wt: 15:   4 Mixing and Changing Units of Time
  729.    wt: 15:   Example 4 with x function of y
  730.    wt: 15:   A Related Material in Volume 3
  731.    wt: 15:   4 Definite Integrals Evaluation Exercises
  732.    wt: 15:   1 Two cubic sketching exercises with 1st derivative
  733.    wt: 15:   29 Chain Rule Optional Reading
  734.    wt: 15:   27 Chain Rule sinusoidal outer inner functions EGS
  735.    wt: 15:   26 Chain Rule Recognising outer inner functions
  736.    wt: 15:   16 Derivatives of reciprocals of sine and cosine
  737.    wt: 15:   14 sine and cosine derivatives 2nd step
  738.    wt: 15:   12 Quotient rule examples
  739.    wt: 15:   8 Differentiation of polynomials
  740.    wt: 15:   10 Three one sided limits with infinite values
  741.    wt: 15:   9 Limits Continuity and Composition
  742.    wt: 15:   5 Jumps and absence of unlimited error control
  743.    wt: 15:   Chapter 16. Velocity Approximation
  744.    wt: 15:   Chapter 9 About First Courses in Calculus
  745.    wt: 15:   Chapter 8. Slope Interpretation
  746.    wt: 15:   Chapter 2. Slopes and Ski Trails
  747.    wt: 15:   Chapter 19 What is in chapters 20 to 24
  748.    wt: 15:   Chapter 9 What is in Chapters 10 to 18
  749.    wt: 15:   V Reasons and Motivations for Logic and Mathematics
  750.    wt: 14:   K LAMP Musings Science Education
  751.    wt: 14:   G LAMP Introduction Problem Solving Skills
  752.    wt: 14:   Skills Chapter 5 Calculus
  753.    wt: 14:   Skills Chapter 2 Geometry
  754.    wt: 14:   6 polynomials etc
  755.    wt: 14:   4 algebra
  756.    wt: 14:   What is POMME
  757.    wt: 14:   activities for students
  758.    wt: 14:   teacher certification
  759.    wt: 14:   learning takes time
  760.    wt: 14:   what should be learnt and When
  761.    wt: 14:   Secondary One Mathematics
  762.    wt: 14:   What to Tell Students
  763.    wt: 14:   mathematics curriculum shifts
  764.    wt: 14:   geometric implications for algebra
  765.    wt: 14:   05 13 OldSiteEntrancePage
  766.    wt: 14:   Different Kinds of Reasoning in maths
  767.    wt: 14:   need for a mixed mathematics curriculum
  768.    wt: 14:   Leaner mathematics curriculum
  769.    wt: 14:   fairness and inductive principles for instruction
  770.    wt: 14:   A Wire Resistance Qualitative01
  771.    wt: 14:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  772.    wt: 14:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  773.    wt: 14:   10 quadratic exercises
  774.    wt: 14:   11 Growth and Decay in Biology
  775.    wt: 14:   Rewriting algebraic substitution as function substitutions
  776.    wt: 14:   2 cosine function more properties
  777.    wt: 14:   1 cosine function properties
  778.    wt: 14:   15 Dot and Cross Product
  779.    wt: 14:   8 Parallel Vectors
  780.    wt: 14:   26 Formulas for products of sines and cosines
  781.    wt: 14:   20 sine and cosine Double Angle Formulas
  782.    wt: 14:   10 Graphs of sines and cosines many periods
  783.    wt: 14:   3 sines and cosines for reference angle 90 degrees
  784.    wt: 14:   12 cis formulas for sine cosines and tangent
  785.    wt: 14:   7 Second Way to Calculate Products
  786.    wt: 14:   1 Rectangular Polar Coordinates Review
  787.    wt: 14:   2 Similarity By Design
  788.    wt: 14:   8 Mid Point Formula
  789.    wt: 14:   24 Signed Numbers Arithmmetic Properties
  790.    wt: 14:   21 Addition of Multiples of a Single Vector
  791.    wt: 14:   16 Collinear Horizontal Arrows Vectors
  792.    wt: 14:   5 Distributive Law for Whole Numbers
  793.    wt: 14:   2 Combing Counts Addition Skills and Principles
  794.    wt: 14:   7 Pythagorean Theorem Chinese Square Proof
  795.    wt: 14:   Formula Usage Show Work Format
  796.    wt: 14:   10 Set View of Wordy Extensions To Arithmetic
  797.    wt: 14:   7 Cautious or Safe Set Construction
  798.    wt: 14:   5 Talking about Numbers and Quantities
  799.    wt: 14:   4 Greater More Less Than Signs in General
  800.    wt: 14:   5 Square Roots with primes more still
  801.    wt: 14:   13 GCD from given Prime Factorization
  802.    wt: 14:   10 Euclid Algorithm with 129 125 and with 45 14
  803.    wt: 14:   7 GCD and LCM from prime factorization
  804.    wt: 14:   LCM 60 45 Avoid List Method Use Prime
  805.    wt: 14:   2 signed and unsigned numbers as coordinates
  806.    wt: 14:   19 Dividing Fractions How TO
  807.    wt: 14:   9 Improper Fractions and Mixed Numbers
  808.    wt: 14:   6 Multiplication of Mixed Numbers
  809.    wt: 14:   13 Subtraction with Additive Inverse
  810.    wt: 14:   3 Adding Movements with same direction
  811.    wt: 14:   16 video Factors of 980 using prime
  812.    wt: 14:   11 Efficient Square Rule Use
  813.    wt: 14:   9 Place Value Review Decimal form of Avogrados number included
  814.    wt: 14:   Exact Arithmetic Wholes and Fractions
  815.    wt: 14:   5 Conversion Arithmetic
  816.    wt: 14:   Example 1 volume of a pyramid
  817.    wt: 14:   Example 3
  818.    wt: 14:   4 Second derivative test exercise example
  819.    wt: 14:   30Chain Rule A Proof
  820.    wt: 14:   23 Chain Rule in general
  821.    wt: 14:   22 Chain Rule for polynomials
  822.    wt: 14:   19 Chain Rule for linear functions
  823.    wt: 14:   18 Chain Rule Introduction
  824.    wt: 14:   10 Power rule for negative integers
  825.    wt: 14:   8 Four Animated Examples
  826.    wt: 14:   2 Algebraic codification
  827.    wt: 14:   Postscript One Sided and Intermediate Value Theorems
  828.    wt: 14:   PostScript For and Against Decimal Perspectives
  829.    wt: 14:   Chapter 21 Arrow Addition
  830.    wt: 14:   Chapter 15. Slope Approximation
  831.    wt: 14:   Chapter 12. Units and Slopes
  832.    wt: 14:   Chapter 10 Slopes and Units
  833.    wt: 14:   Chapter 7 Slopes and Velocity
  834.    wt: 14:   Chapter 4. More Slope Sign Analysis
  835.    wt: 14:   Fall 1983 Calculus Appetizer
  836.    wt: 14:   Chapter 29 Contrapositive and Vacuously True Implications
  837.    wt: 14:   Annotated Links to Material Elsehwere
  838.    wt: 14:   Postscript B Mathematics Education References
  839.    wt: 14:   Chapter 7 Two Treatments of Geometry
  840.    wt: 14:   Chapter 6 Rule Based Reason in Mathematics
  841.    wt: 14:   Postscript B More on Story Telling and Reason
  842.    wt: 14:   Chapter 24 Direct and Indirect Reason
  843.    wt: 14:   Chapter 12 Islands and Divisions of Knowledge
  844.    wt: 14:   P Exact Arithmetic With Whole Numbers and Fractions
  845.    wt: 14:   Helping the Blind in Logic and Mathematics
  846.    wt: 14:   Mathematics Education References
  847.    wt: 14:   Mathematics Education References
  848.    wt: 14:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  849.    wt: 14:   More Algebra and Slope based Calculus Preview
  850.    wt: 13:   Skills Chapter 4 Logic
  851.    wt: 13:   permissions for teachers
  852.    wt: 13:   About site lesson plans
  853.    wt: 13:   five decades make a difference
  854.    wt: 13:   Maps Plans Drawings
  855.    wt: 13:   how letters appear
  856.    wt: 13:   teaching tips
  857.    wt: 13:   04 29 New Mathematics Curriculum
  858.    wt: 13:   cultivating intelligence
  859.    wt: 13:   Four ways to improve education reform
  860.    wt: 13:   chapitre 07 01 principle D induction mathematique
  861.    wt: 13:   chapitre 03 A Propos Des Prochains Chapitre
  862.    wt: 13:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  863.    wt: 13:   13 Addition and Addition Tables
  864.    wt: 13:   Ages 12 to 14 Skills with take home value
  865.    wt: 13:   6 Set Existence Formation and Notation
  866.    wt: 13:   5 Function notation for geometric transformations
  867.    wt: 13:   4 Function notation in and beyond mathematics
  868.    wt: 13:   3 Polynomials Multiplication Addition
  869.    wt: 13:   11 Component Method
  870.    wt: 13:   2 Signed Coordinates
  871.    wt: 13:   1 Unsigned Coordinates
  872.    wt: 13:   28 Expressing products of sines cosines as sums
  873.    wt: 13:   23 sine and cosine of 180 plus 22.5 degrees
  874.    wt: 13:   9 Graphs of sine and cosine over one period
  875.    wt: 13:   5 sines and cosines for reference angle 60 degrees
  876.    wt: 13:   4 sines and cosines for reference angle 45 degrees
  877.    wt: 13:   21 Logarithms Powers and Exponentials
  878.    wt: 13:   9 The complex number valued trig function cis
  879.    wt: 13:   3 Addition Properties
  880.    wt: 13:   Appetizer A Complex Number Applet
  881.    wt: 13:   Four Simple Exercises
  882.    wt: 13:   A Signed Number Arithmetic Review
  883.    wt: 13:   22 Multiplication of Signed Numbers
  884.    wt: 13:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  885.    wt: 13:   6 Infinite Decimals Ending in 9 repeating
  886.    wt: 13:   1 Changing Calculations
  887.    wt: 13:   8 Coordinates for Maps and Planes
  888.    wt: 13:   5 Box Volume Formula Example
  889.    wt: 13:   3 Counting with Sets etc
  890.    wt: 13:   arithmetic videos Real Player Format
  891.    wt: 13:   2 More and Less Than with Unlike Signs
  892.    wt: 13:   4 Square Roots with primes more
  893.    wt: 13:   2 Square Roots with Prime
  894.    wt: 13:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  895.    wt: 13:   9 subtracting signed numbers
  896.    wt: 13:   4 signed coordinates for regions in space
  897.    wt: 13:   22 Complex Compound Fractions
  898.    wt: 13:   6 Multiplication by Natural Numbers
  899.    wt: 13:   12 LCD GCD and LCM using Primes
  900.    wt: 13:   10 Names for Big Numbers and Powers of Ten Expansion
  901.    wt: 13:   1 Place Value in Three Digit Whole Numbers
  902.    wt: 13:   6 How long is a million seconds
  903.    wt: 13:   Example 2 volume of a cone
  904.    wt: 13:   Example 2
  905.    wt: 13:   Example 1
  906.    wt: 13:   3 Two Chain Rule Method Exercises
  907.    wt: 13:   1 Chain Rule in Reverse Integration Method
  908.    wt: 13:   3 Second derivative test
  909.    wt: 13:   2 Second derivative test prequel
  910.    wt: 13:   20 Chain Rule for Pulley Systems
  911.    wt: 13:   11 Quotient rule
  912.    wt: 13:   5 Product Rule
  913.    wt: 13:   4 Numerical properties
  914.    wt: 13:   1 Numerical introduction
  915.    wt: 13:   G.2 Lipshitz Conditions Integration Calculus Reform
  916.    wt: 13:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  917.    wt: 13:   Chapter 20 Vectors and Complex Numbers
  918.    wt: 13:   Chapter 11. Graphing Slope versus Position
  919.    wt: 13:   Chapter 5. Slope Sign Tests
  920.    wt: 13:   Chapter 1.Introduction
  921.    wt: 13:   Appendix E. How To Study Mathematics and Why
  922.    wt: 13:   Chapter 25. Mathematical Induction Examples
  923.    wt: 13:   Chapter 9 Talking about Numbers or Quantities
  924.    wt: 13:   Chapter 3 Algebra Difficulties
  925.    wt: 13:   Postscript D Reflections on Law of the Excluded Middle
  926.    wt: 13:   Postscript A Story Telling
  927.    wt: 13:   Chapter 20 Shorthand Symbols as Pronouns
  928.    wt: 13:   Chapter 8 Change of Language
  929.    wt: 13:   F. The student teacher tutor feedback loop
  930.    wt: 13:   Implementation Notes
  931.    wt: 12:   key notes and themes
  932.    wt: 12:   modern education
  933.    wt: 12:   Postscript 2007 01 10
  934.    wt: 12:   Lessening Algebra Difficulties
  935.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  936.    wt: 12:   chapitre 06 00 Chaines de la raison
  937.    wt: 12:   chapitre 04 10 Etapes pour une meilleur raison
  938.    wt: 12:   chapitre 04 08 Limitations et benefices
  939.    wt: 12:   chapitre 04 07 RepetablesEtReproductibles
  940.    wt: 12:   2 Conductance Resistance Duality02
  941.    wt: 12:   1 Conductance Resistance Duality01
  942.    wt: 12:   E Wire Resistance Calculation03
  943.    wt: 12:   B Wire Resistance Qualitative02
  944.    wt: 12:   25 Mathematics Education Leaving A Good Impression
  945.    wt: 12:   Ages 12 to 14 Arithmetic
  946.    wt: 12:   Ages 10 to 12 Arithmetic
  947.    wt: 12:   17 Function maxima minima and their location
  948.    wt: 12:   17F Law of cosines
  949.    wt: 12:   7 period of sine and cosine
  950.    wt: 12:   16 References and Originality Question
  951.    wt: 12:   15 Pythagorean Theorem Converse
  952.    wt: 12:   11 sine and cosine double triple angle formulas
  953.    wt: 12:   10 sine cosine Angle Sum Formulas via cis
  954.    wt: 12:   8 Unit Circle Development of Trigonometry
  955.    wt: 12:   4 Multiplication Properties
  956.    wt: 12:   12 Links Lessons elsewhere
  957.    wt: 12:   About Folder Contents
  958.    wt: 12:   musings do not puiblish real numbers
  959.    wt: 12:   12 Real Numbers Line Signed Coordinates
  960.    wt: 12:   E Long Division Methods more
  961.    wt: 12:   D Long Division Methods
  962.    wt: 12:   1 The Counting Origins of Numbers
  963.    wt: 12:   13 Real Number Subtraction
  964.    wt: 12:   12 Real Number Additive Inverses or Negatives
  965.    wt: 12:   12 Cone Cylinder Sphere Lesson Idea
  966.    wt: 12:   10 Volume of Pyramid
  967.    wt: 12:   6 Power Set Notation
  968.    wt: 12:   5 Product Builder Notation
  969.    wt: 12:   4 Subset Builder Notation
  970.    wt: 12:   6 Three Notions of What is a Variable
  971.    wt: 12:   3 Adding Words To Arithmetic
  972.    wt: 12:   17 GCD LCM of 85 and 60 via Prime
  973.    wt: 12:   14 GCD of 650 110 via Primes LCM via Product Rule
  974.    wt: 12:   11 GCD 2700 288 via Euclid Algorithm
  975.    wt: 12:   8 GCD from Euclidean Algorithm
  976.    wt: 12:   5 lengths and signs of numbers
  977.    wt: 12:   21 Working With Signs
  978.    wt: 12:   C Divisibility by 11 Integer Recognition Method
  979.    wt: 12:   11 Adding Integers Formulas and Examples
  980.    wt: 12:   10 Integer Multiplication Formulas
  981.    wt: 12:   4 Adding Movements wiht opposite directions
  982.    wt: 12:   2 Integers Multiplies of a Unit Moverment
  983.    wt: 12:   The 12 Times Table Visually
  984.    wt: 12:   Volume of Solid by Cross Sections Lesson
  985.    wt: 12:   Summary
  986.    wt: 12:   2 Indefinite Integrals Exercises
  987.    wt: 12:   A Related lessons in Volume 3
  988.    wt: 12:   21 Chain Rule for powers
  989.    wt: 12:   9 Reciprocal rule
  990.    wt: 12:   6 Power rule from product rule
  991.    wt: 12:   G.1 First Fundamental Theorem of Calculus
  992.    wt: 12:   G.6 Bounded Derivatives implies Lipshitz Continuity
  993.    wt: 12:   G.4 Lipschitz Continuity implies EquiContinuity
  994.    wt: 12:   G.2 Differentiable Functions Mean Value Theorem
  995.    wt: 12:   F.3 Intermediate Value Theorem
  996.    wt: 12:   B3 Bolzano Weierstrass Theorem
  997.    wt: 12:   Chapter 31 Direct and Indirect Reason
  998.    wt: 12:   Chapter 30 Truth Tables
  999.    wt: 12:   Chapter 26 What is in chapters 27 to 31
  1000.    wt: 12:   Chapter 14. Forward and Backward Use of a Formula
  1001.    wt: 12:   Postscript Unifying Theme A Fourth Skill For Algebra
  1002.    wt: 12:   Chapter 2 Implication Rules Forwards and Backwards
  1003.    wt: 12:   Chapter 1 Introduction to Chapters 2 to 6
  1004.    wt: 12:   Postscript A Three Remarks
  1005.    wt: 12:   Chapter 11 Elementary Instruction
  1006.    wt: 12:   Chapter 21 Occurrence Tables
  1007.    wt: 12:   Chapter 7 Longer Chains of Reason
  1008.    wt: 12:   Chapter 6 Chains of Reason
  1009.    wt: 12:   Chapter 1 Introduction
  1010.    wt: 12:   Ends Values Methods For Skill Development Framework Prequel
  1011.    wt: 11:   why bother
  1012.    wt: 11:   which way to go
  1013.    wt: 11:   links Education Resources online
  1014.    wt: 11:   site eurekas
  1015.    wt: 11:   three difficulties
  1016.    wt: 11:   02 21 words for teachers
  1017.    wt: 11:   formal or informal peer review
  1018.    wt: 11:   Theory of Knowledge
  1019.    wt: 11:   Prequel In For A Penny In For A Pound
  1020.    wt: 11:   chapitre 04 05 Implication versus suggestion
  1021.    wt: 11:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1022.    wt: 11:   chapitre 02 00 La Communication des idees
  1023.    wt: 11:   F Wire Resistance Calculation04
  1024.    wt: 11:   D Wire Resistance Calculation02
  1025.    wt: 11:   C Wire Resistance Calculation01
  1026.    wt: 11:   B Electromotive force conventional current01
  1027.    wt: 11:   27 Graduated Correction and Penalties for Young Offenders
  1028.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take IV
  1029.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take III
  1030.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take II
  1031.    wt: 11:   22 Student Centered Highschool Mathematics
  1032.    wt: 11:   19 Extending the Oral Dimension of Mathematics
  1033.    wt: 11:   16 Secondary Mathematics Tips
  1034.    wt: 11:   14 Multiplication and Times Tables
  1035.    wt: 11:   12 Goals and Objectives For Mathematics
  1036.    wt: 11:   Ages 3 plus to 4 plus
  1037.    wt: 11:   11 Function Domain Range Source and Targets
  1038.    wt: 11:   1 Geometric Introduction of Function Notation
  1039.    wt: 11:   8 Notes for instructors or tutors
  1040.    wt: 11:   1 Polynomials Distributive Law
  1041.    wt: 11:   19 N th Roots of Unity
  1042.    wt: 11:   18 Sixth Roots of Unity
  1043.    wt: 11:   19 Signed Multiples of Vectors
  1044.    wt: 11:   14 Real Number Multiplication
  1045.    wt: 11:   7 Real Numbers as Line Cordinates
  1046.    wt: 11:   1 Whole and Natural Numbers
  1047.    wt: 11:   More Exercises
  1048.    wt: 11:   Simple Exercises
  1049.    wt: 11:   11 Volume of Sphere
  1050.    wt: 11:   9 Volume of Cone
  1051.    wt: 11:   4 A Brief Story of numbers and algebra
  1052.    wt: 11:   16 GCD and LCM of 650 225 via Prime
  1053.    wt: 11:   5 Common Divisors 60 45 via Prime
  1054.    wt: 11:   4 LCM of 8 and 10 via Prime
  1055.    wt: 11:   8 multiplying signed numbers
  1056.    wt: 11:   6 adding signed numbers
  1057.    wt: 11:   8 Multiplication by Signed Numbers Integers
  1058.    wt: 11:   5 Zero Movement and Additive Inverses
  1059.    wt: 11:   1 Integers as Coordinates
  1060.    wt: 11:   8 Review Lesson 1 2 4 and 6 All in One
  1061.    wt: 11:   Quick history of numbers and algebra
  1062.    wt: 11:   Formula Evaluation how to show work
  1063.    wt: 11:   Expression Evaluation how to show work
  1064.    wt: 11:   5 Area Under Curve Exercise
  1065.    wt: 11:   4 Sum Rule
  1066.    wt: 11:   G.3 Constant Difference Theorem Proof
  1067.    wt: 11:   F.5a Equicontinuity Theorems
  1068.    wt: 11:   Chapter 22 Complex Numbers
  1069.    wt: 11:   Chapter 23. Notation For Sums
  1070.    wt: 11:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1071.    wt: 11:   Chapter 10 Describing and Changing Calculations
  1072.    wt: 11:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1073.    wt: 11:   Chapter 10 Transition
  1074.    wt: 11:   Chapter 4 Complex Numbers and Why Slopes
  1075.    wt: 11:   Chapter 18 Sense and Knowledge
  1076.    wt: 11:   Chapter 15 Objective Processes
  1077.    wt: 11:   Chapter 10 Responsibility
  1078.    wt: 11:   Chapter 5 Deception
  1079.    wt: 11:   Chapter 2 Skill Development
  1080.    wt: 11:   R Why Learn Mathematics Skills
  1081.    wt: 11:   O On Learning Mathematics and Science
  1082.    wt: 11:   N Mathematics Prepare for College Studies
  1083.    wt: 11:   M Words to extend arithmetic
  1084.    wt: 11:   D. Check work a must with a caution
  1085.    wt: 10:   website reviews
  1086.    wt: 10:   site origins
  1087.    wt: 10:   chapitre 12 00 les iles et division
  1088.    wt: 10:   chapitre 04 09 Regles accidentelles
  1089.    wt: 10:   chapitre 04 06 engagements
  1090.    wt: 10:   chapitre 04 04 Parlons de la logique
  1091.    wt: 10:   chapitre 04 00 Les regles d implication
  1092.    wt: 10:   chapitre 01 00 Introduction
  1093.    wt: 10:   Trois Notions qui menent a algebre
  1094.    wt: 10:   3 Like resistors in parallel
  1095.    wt: 10:   C Electromotive force conventional current02
  1096.    wt: 10:   24 Standards For Skill Develoment Take II
  1097.    wt: 10:   17 Math Booklets for children and young teenagers
  1098.    wt: 10:   9 Streaming by Student Cooperation
  1099.    wt: 10:   6 Discipline Who is in Charge Conserving Authority
  1100.    wt: 10:   4 Learning Takes Time and Effort
  1101.    wt: 10:   Ages 12 to 14 Geometry
  1102.    wt: 10:   Ages 10 to 12 Geometry
  1103.    wt: 10:   24 Monotoncity Injectivity and Inverse Functions
  1104.    wt: 10:   20 Interchanging coordinates a reflection
  1105.    wt: 10:   13 From one to one to many to one
  1106.    wt: 10:   3 Formula or function graphing exercise
  1107.    wt: 10:   2 Algebraic use of function notation
  1108.    wt: 10:   5 Polynomials Long division Nonlinear divisor
  1109.    wt: 10:   4 Polynomials Long division linear divisor
  1110.    wt: 10:   2 Column Multiplication Method
  1111.    wt: 10:   20 N th Roots of Complex Numbers
  1112.    wt: 10:   17 Cube Roots of unity
  1113.    wt: 10:   2 Complex Numbers made easier we hope
  1114.    wt: 10:   16 Real Numbers Comparison
  1115.    wt: 10:   11 Real Number Addition
  1116.    wt: 10:   10 Real Number Lengths and Signs
  1117.    wt: 10:   9 Coordinates for Regions in Space
  1118.    wt: 10:   5 Rational Numbers More
  1119.    wt: 10:   4 Rational Numbers
  1120.    wt: 10:   3 Fractions
  1121.    wt: 10:   2 Venn Diagrams
  1122.    wt: 10:   1 Finite Sets
  1123.    wt: 10:   2 What is a Variable
  1124.    wt: 10:   About Folder Contents
  1125.    wt: 10:   12 GCD 2700 288 via Prime
  1126.    wt: 10:   10 dividing signed numbers
  1127.    wt: 10:   B Integer Long Division Multiple Choices
  1128.    wt: 10:   12 Adding Integers More Examples
  1129.    wt: 10:   7 Multiplication by Signs
  1130.    wt: 10:   The 20 Times Table
  1131.    wt: 10:   About folder contents
  1132.    wt: 10:   G.1 Differentiable Functions Rolles Theorem
  1133.    wt: 10:   F.1 What Functions are Continuous
  1134.    wt: 10:   E2 Algebraic Properties of Limits
  1135.    wt: 10:   C Triangle Inequalities
  1136.    wt: 10:   Chapter 24. Personal Investment and Pension EGS
  1137.    wt: 10:   Postscript What is a Variable
  1138.    wt: 10:   Chapter 5 Islands and Divisions of Knowledge
  1139.    wt: 10:   Chapter 3 Chains of Reason
  1140.    wt: 10:   Chapter 9 The Two Ends
  1141.    wt: 10:   Chapter 8 Modern Instruction
  1142.    wt: 10:   Chapter 1 Introduction
  1143.    wt: 10:   Three Remarks
  1144.    wt: 10:   N Improving Marks on Tests and Finals
  1145.    wt: 10:   G. Written work formats for developing and showing skill
  1146.    wt: 10:   Which Way To Go

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.