Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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

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580 matches:

  1.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  3.    wt: 4:   7 Translations Rotations Reflections Dilatations
  4.    wt: 3:   H LAMP Introduction Instructional Concepts
  5.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  6.    wt: 3:   26 Function definitions done and coming
  7.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  8.    wt: 3:   14 Surjections Injections Bijections
  9.    wt: 3:   13 From one to one to many to one
  10.    wt: 3:   5 Function notation for geometric transformations
  11.    wt: 3:   4 Function notation in and beyond mathematics
  12.    wt: 3:   1 Geometric Introduction of Function Notation
  13.    wt: 3:   4 Polynomials Long division linear divisor
  14.    wt: 3:   3 Polynomials Multiplication Addition
  15.    wt: 3:   Rewriting algebraic substitution as function substitutions
  16.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  17.    wt: 3:   30 unit circle calculation of six trigonometric functions
  18.    wt: 3:   8 Division and Mulplication of Compound Fractions
  19.    wt: 3:   3 GE III Equation Addition and Multiplication
  20.    wt: 3:   16 Addition Subtraction Comparision Compared
  21.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  22.    wt: 3:   Subtraction with J Conversions Example
  23.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  24.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  25.    wt: 3:   6 How long is a million seconds
  26.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  27.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  28.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  29.    wt: 2:   8 analytic geometry etc
  30.    wt: 2:   links Education Resources online
  31.    wt: 2:   Education Reform Inconsistencies
  32.    wt: 2:   Secondary One Mathematics
  33.    wt: 2:   Four ways to improve education reform
  34.    wt: 2:   Motivation and Context Problem
  35.    wt: 2:   chapitre 12 00 les iles et division
  36.    wt: 2:   chapitre 06 00 Chaines de la raison
  37.    wt: 2:   chapitre 05 00 Deception
  38.    wt: 2:   chapitre 04 08 Limitations et benefices
  39.    wt: 2:   chapitre 04 05 Implication versus suggestion
  40.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  41.    wt: 2:   chapitre 04 00 Les regles d implication
  42.    wt: 2:   chapitre 02 00 La Communication des idees
  43.    wt: 2:   chapitre 01 00 Introduction
  44.    wt: 2:   C Electromotive force conventional current02
  45.    wt: 2:   B Electromotive force conventional current01
  46.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  47.    wt: 2:   13 Addition and Addition Tables
  48.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  49.    wt: 2:   17 Function maxima minima and their location
  50.    wt: 2:   12 Function Domain Recognition Exercises
  51.    wt: 2:   8 Set view of relations and functions
  52.    wt: 2:   6 Set Existence Formation and Notation
  53.    wt: 2:   2 Algebraic use of function notation
  54.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  55.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  56.    wt: 2:   16 cotangent function Definition Graph and Inverse
  57.    wt: 2:   15 cosecant function Definition Graph and Inverse
  58.    wt: 2:   14 secant function Definition Graph and Inverse
  59.    wt: 2:   13 cosecant function Definition Graph and Inverse
  60.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  61.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  62.    wt: 2:   Straight Lines Instersection Solving Equations
  63.    wt: 2:   7 Tangent Function is odd on this domain
  64.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  65.    wt: 2:   25 tangent double angle formula Slope connection
  66.    wt: 2:   12 Graph of tangent function for one period
  67.    wt: 2:   1 Unit Points Reflections Rotations
  68.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  69.    wt: 2:   6 Polar Multiplication and Rotation
  70.    wt: 2:   5 Cartesian Addition and Translation
  71.    wt: 2:   PS G Rotation Distributes over Addition
  72.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  73.    wt: 2:   PS B Parallelogram Construction Methods
  74.    wt: 2:   PS A Kite Construction Methods
  75.    wt: 2:   11 Triangle Construction Fails
  76.    wt: 2:   9 Construction of a right bisector
  77.    wt: 2:   Short Course on Euclidean Geometry
  78.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  79.    wt: 2:   11 Signed Number Addition and Addition Properties
  80.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  81.    wt: 2:   4 Location of Point in Decimal Addition
  82.    wt: 2:   3 Location of Point in Decimal Multiplication
  83.    wt: 2:   1 Fractions with Finite Decimal Expansions
  84.    wt: 2:   E Long Division Methods more
  85.    wt: 2:   D Long Division Methods
  86.    wt: 2:   B Decimal Comparison and Subtraction
  87.    wt: 2:   4 Fraction Operations Axiomatic Development
  88.    wt: 2:   2 Fraction Operations Physical Development
  89.    wt: 2:   5 Proportionality in Equivalent Fractions
  90.    wt: 2:   3 Linear Equation Literal Solution More
  91.    wt: 2:   2 Linear Equation Literal Solution
  92.    wt: 2:   4 Subtraction and Division Axioms
  93.    wt: 2:   2 Addition and Multiplication Axioms
  94.    wt: 2:   3 Geometric Formulas and Function Notation
  95.    wt: 2:   2 Computation Rules Evaluation
  96.    wt: 2:   1 Formulas Dependence and Function Notation
  97.    wt: 2:   1 GE Substitution four examples
  98.    wt: 2:   2 Essentially one exercises three with solution
  99.    wt: 2:   5 Algebraic Solutions Introduction
  100.    wt: 2:   4 Four Examples Fractional Coefficients
  101.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  102.    wt: 2:   7 Cautious or Safe Set Construction
  103.    wt: 2:   1 Least Common Multiples LCM Introduction
  104.    wt: 2:   6 Simplification of Fractions with Units
  105.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  106.    wt: 2:   1 Addition and Subtraction with Units
  107.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  108.    wt: 2:   13 Fraction Comparison Algebraic View
  109.    wt: 2:   12 Fraction Comparison
  110.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  111.    wt: 2:   4 Fraction Multiplication
  112.    wt: 2:   3 Unit fraction of a fraction
  113.    wt: 2:   2 Unit Fraction Multiplication
  114.    wt: 2:   B Integer Long Division Multiple Choices
  115.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  116.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  117.    wt: 2:   4 video Prime Factorization Introduction
  118.    wt: 2:   Long Division Backwards more
  119.    wt: 2:   Long Division Backward
  120.    wt: 2:   Long Division forwards and backwards Example 3
  121.    wt: 2:   Long Division forwards and backwards Example 2
  122.    wt: 2:   Long Division forwards and backwards Example 1
  123.    wt: 2:   12 Why Long Division Works Take III
  124.    wt: 2:   10 Division by Five Long and Short Ways
  125.    wt: 2:   9 Why Long Division Works Take II
  126.    wt: 2:   7 Long Divison Mistake Catching
  127.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  128.    wt: 2:   5 Long Division Include Zeroes or not
  129.    wt: 2:   5 Decimal Fraction Multiplication
  130.    wt: 2:   Video Power Notation in Decimal Expansion
  131.    wt: 2:   Subtraction Another Video Lesson
  132.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  133.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  134.    wt: 2:   4. How to add with decimals B with conversions
  135.    wt: 2:   3. How to add with decimals A sans conversions
  136.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  137.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  138.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  139.    wt: 2:   Expression Evaluation how to show work
  140.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  141.    wt: 2:   5 Conversion Arithmetic
  142.    wt: 2:   Volume of Solid by Cross Sections Lesson
  143.    wt: 2:   34 Derivative of exponential function
  144.    wt: 2:   8 Differentiation of polynomials
  145.    wt: 2:   3 Motivation for Limit Definition Take 2
  146.    wt: 2:   2 Motivation for Limit Definition Take 1
  147.    wt: 2:   9 Limits Continuity and Composition
  148.    wt: 2:   7 Evaluation by immediate or delayed substitution
  149.    wt: 2:   3 Decimal insights for limits continuity convergence
  150.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  151.    wt: 2:   F.1 What Functions are Continuous
  152.    wt: 2:   D2 Limits of Monotone Sequences
  153.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  154.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  155.    wt: 2:   Chapter 4 Longer Chains of Reason
  156.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  157.    wt: 2:   Postscript C Consistency as a Tool for Reason
  158.    wt: 2:   Postscript B More on Story Telling and Reason
  159.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  160.    wt: 2:   Chapter 7 Longer Chains of Reason
  161.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  162.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  163.    wt: 1:   K LAMP Musings Science Education
  164.    wt: 1:   J LAMP Introduction Extrinsic Origins
  165.    wt: 1:   I LAMP Introduction Study Habits
  166.    wt: 1:   G LAMP Introduction Problem Solving Skills
  167.    wt: 1:   F LAMP Introduction Prerequisites
  168.    wt: 1:   E LAMP Introduction Modern Mathematics
  169.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  170.    wt: 1:   A Introduction Objectives
  171.    wt: 1:   Ramblings Introduction Algebra Essay
  172.    wt: 1:   Skills Chapter 2 Geometry
  173.    wt: 1:   Skills Chapter 0 Introduction
  174.    wt: 1:   7 logic review and decimals an odd combination
  175.    wt: 1:   6 polynomials etc
  176.    wt: 1:   5 logarithms and exponentials etc
  177.    wt: 1:   3 Euclidean Geometry Leanly
  178.    wt: 1:   permissions for teachers
  179.    wt: 1:   Applied Maths Program14092009 POMME variant
  180.    wt: 1:   About site lesson plans
  181.    wt: 1:   Mathematics Education Professors
  182.    wt: 1:   teacher certification
  183.    wt: 1:   modern education
  184.    wt: 1:   mathematics in context
  185.    wt: 1:   Postscript 2007 01 10
  186.    wt: 1:   Secondary Three Mathematics
  187.    wt: 1:   Secondary Two Mathematics
  188.    wt: 1:   geometric implications for algebra
  189.    wt: 1:   teaching tutoring algebraic reason
  190.    wt: 1:   three goals for Mathematics Education
  191.    wt: 1:   02 20 mathematics education references
  192.    wt: 1:   Operational Viewpoint to Value
  193.    wt: 1:   mathematics instruction in general
  194.    wt: 1:   Education in mathematics science and technology
  195.    wt: 1:   Different Kinds of Reasoning in maths
  196.    wt: 1:   three kinds of reason in mathematics
  197.    wt: 1:   education an empirical art
  198.    wt: 1:   fairness and inductive principles for instruction
  199.    wt: 1:   chapitre 07 01 principle D induction mathematique
  200.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  201.    wt: 1:   chapitre 04 04 Parlons de la logique
  202.    wt: 1:   problemes responses
  203.    wt: 1:   Trois Notions qui menent a algebre
  204.    wt: 1:   deux definitions pour variable
  205.    wt: 1:   3 Energy Power Heat08
  206.    wt: 1:   2 Conductance Resistance Duality02
  207.    wt: 1:   1 Conductance Resistance Duality01
  208.    wt: 1:   F Wire Resistance Calculation04
  209.    wt: 1:   E Wire Resistance Calculation03
  210.    wt: 1:   D Wire Resistance Calculation02
  211.    wt: 1:   C Wire Resistance Calculation01
  212.    wt: 1:   E Kirchoffs Second Law
  213.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  214.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  215.    wt: 1:   16 Secondary Mathematics Tips
  216.    wt: 1:   14 Multiplication and Times Tables
  217.    wt: 1:   11 Help and Defend Your Child or Teens Education
  218.    wt: 1:   10 Ends values for work study instruction
  219.    wt: 1:   9 Streaming by Student Cooperation
  220.    wt: 1:   7 Student Motivation
  221.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  222.    wt: 1:   Ages 12 to 14 Geometry
  223.    wt: 1:   Ages 10 to 12 Geometry
  224.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  225.    wt: 1:   sign monoticity analysis example 4
  226.    wt: 1:   sign monoticity analysis example 3
  227.    wt: 1:   sign monoticity analysis example 2
  228.    wt: 1:   sign monoticity analysis example 1
  229.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  230.    wt: 1:   23 Inverse Functions
  231.    wt: 1:   22 Square Root function graphically
  232.    wt: 1:   20 Interchanging coordinates a reflection
  233.    wt: 1:   19 Horizontal line rule and method
  234.    wt: 1:   16 Increasing or decreasing on intervals
  235.    wt: 1:   15 Sign analysis of functions
  236.    wt: 1:   11 Function Domain Range Source and Targets
  237.    wt: 1:   10 Interval Notation
  238.    wt: 1:   9 Set theory term relation possible origins
  239.    wt: 1:   7 Functions with finite domains
  240.    wt: 1:   3 Formula or function graphing exercise
  241.    wt: 1:   Introduction Reading Guide
  242.    wt: 1:   9 quadratics physical and further context
  243.    wt: 1:   7 quadratic formulla derivation
  244.    wt: 1:   3 quadratics factoring by inspection
  245.    wt: 1:   10 Exponential Growth and Decay Models
  246.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  247.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  248.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  249.    wt: 1:   2 Square Root Simplification a prequel
  250.    wt: 1:   7 Links Lessons Elsewhere
  251.    wt: 1:   2 Column Multiplication Method
  252.    wt: 1:   1 Polynomials Distributive Law
  253.    wt: 1:   12 motivation for term arctan
  254.    wt: 1:   10 arctan left inverse of tangent Definition
  255.    wt: 1:   9 motivation for name arcsin
  256.    wt: 1:   7 arcsin left inverse of sine Definition
  257.    wt: 1:   6 Graph of arccos function
  258.    wt: 1:   5 Swapping Coordinates is a reflection
  259.    wt: 1:   4 possible motivation for term arccos
  260.    wt: 1:   3 Left Inverse of cosine arccos definition
  261.    wt: 1:   2 cosine function more properties
  262.    wt: 1:   1 cosine function properties
  263.    wt: 1:   8 Radian Measures of Common Angles
  264.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  265.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  266.    wt: 1:   2 Radian Measure Numerical Value of one degree
  267.    wt: 1:   1 Degrees and Radians Introduction
  268.    wt: 1:   A Global Time and Navigation
  269.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  270.    wt: 1:   11 Component Method
  271.    wt: 1:   10 Parallelogram Addition Method
  272.    wt: 1:   5 Head To Tail Arrow Addition
  273.    wt: 1:   3 Navigation with Arrows or Vectors
  274.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  275.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  276.    wt: 1:   Straight Lines ASA Intersection Study More
  277.    wt: 1:   Straight Lines ASA Intersection Study
  278.    wt: 1:   Straight Lines Intersection of
  279.    wt: 1:   14 Straight Lines Equations General Case
  280.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  281.    wt: 1:   10 Straight Lines through Origin Equations More
  282.    wt: 1:   9 Straight Lines through Origin Equations
  283.    wt: 1:   8 Straight Lines Equation for vertical
  284.    wt: 1:   5 Tangent Function Graph
  285.    wt: 1:   4 Tangent Function Properties
  286.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  287.    wt: 1:   1 Straight Lines Slope Concept
  288.    wt: 1:   17 tangent function angle sum formulas
  289.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  290.    wt: 1:   17G Pythagorean Theorem Converse
  291.    wt: 1:   17A The complex number valued trig function cis
  292.    wt: 1:   16 Right Triangle Complementary Angle Relations
  293.    wt: 1:   15 sine cosine Complementary Angle Relations
  294.    wt: 1:   13 Graph of tangent function many periods
  295.    wt: 1:   11 tangent function undefined when terminal side vertical
  296.    wt: 1:   9 Graphs of sine and cosine over one period
  297.    wt: 1:   8 period of tangent function
  298.    wt: 1:   Unit Circle Development of Trigonometry
  299.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  300.    wt: 1:   21 Logarithms Powers and Exponentials
  301.    wt: 1:   16 References and Originality Question
  302.    wt: 1:   15 Pythagorean Theorem Converse
  303.    wt: 1:   9 The complex number valued trig function cis
  304.    wt: 1:   8 Unit Circle Development of Trigonometry
  305.    wt: 1:   7 Second Way to Calculate Products
  306.    wt: 1:   4 Multiplication Properties
  307.    wt: 1:   3 Addition Properties
  308.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  309.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  310.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  311.    wt: 1:   3 Trigonometric Ratios sine and cosine
  312.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  313.    wt: 1:   Why Trigonometry the whyslopes view
  314.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  315.    wt: 1:   8 Similarity of Triangles and Polygons
  316.    wt: 1:   4 Similarity Definition with Coordinate
  317.    wt: 1:   1 Early Concept of Like or Similar Shapes
  318.    wt: 1:   Four Simple Exercises
  319.    wt: 1:   12 Links Lessons elsewhere
  320.    wt: 1:   7 Exercises to test skill and concept mastery
  321.    wt: 1:   6 Intersection of lines by solving linear systems
  322.    wt: 1:   4 Equations for lines three forms
  323.    wt: 1:   2 point slope equation for a line
  324.    wt: 1:   1 Numerical view of lines and their equations
  325.    wt: 1:   8 Distance Between Points on a Line
  326.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  327.    wt: 1:   PS E Multiplication with Polar Coordinates
  328.    wt: 1:   PS D Addition with Cartesian Coordinates
  329.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  330.    wt: 1:   6 Ruler and compass Angle Bisection
  331.    wt: 1:   3 Isometry of Triangles Congruence
  332.    wt: 1:   2 Correspondence between Triangles
  333.    wt: 1:   1 Initial Concepts and Terms
  334.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  335.    wt: 1:   4 Angles on Maps Plans drawn to scale
  336.    wt: 1:   3 Lengths and Areas on Maps and Plans
  337.    wt: 1:   About Folder Contents
  338.    wt: 1:   26 More Less Greater Than Comparison
  339.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  340.    wt: 1:   23 Distributive Law Two Derivations
  341.    wt: 1:   22 Multiplication of Signed Numbers
  342.    wt: 1:   21 Addition of Multiples of a Single Vector
  343.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  344.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  345.    wt: 1:   15 Head to Tails in place Addition Associative
  346.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  347.    wt: 1:   9 Division with Digits after Decimal Point
  348.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  349.    wt: 1:   2 Counting Digits in Decimal Multiplication
  350.    wt: 1:   C Three Decimal Subtraction Methods
  351.    wt: 1:   A Decimal Addition Columm Methods
  352.    wt: 1:   8 Column Multiplication Methods in General
  353.    wt: 1:   7 Decimals Multiplication Methods Examples
  354.    wt: 1:   6 Column Methods for Decimal Multiplication
  355.    wt: 1:   2 Combing Counts Addition Skills and Principles
  356.    wt: 1:   4 Rates Ratios and Proporitionality
  357.    wt: 1:   3 Proportionality Examples
  358.    wt: 1:   1 What is Proportionality
  359.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  360.    wt: 1:   1 Changing Calculations
  361.    wt: 1:   6 Equations and Systems Equivalent or Implied
  362.    wt: 1:   1 Equivalent Computation Rules
  363.    wt: 1:   4 Comparison of Negative Numbers
  364.    wt: 1:   1 Real Numbers Comparison
  365.    wt: 1:   16 Real Numbers Comparison
  366.    wt: 1:   15 Real Number Division
  367.    wt: 1:   14 Real Number Multiplication
  368.    wt: 1:   13 Real Number Subtraction
  369.    wt: 1:   11 Real Number Addition
  370.    wt: 1:   9 Coordinates for Regions in Space
  371.    wt: 1:   5 Rational Numbers More
  372.    wt: 1:   4 Rational Numbers
  373.    wt: 1:   3 Fractions
  374.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  375.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  376.    wt: 1:   2 GE II Comparison
  377.    wt: 1:   1 Essentially One Unknown
  378.    wt: 1:   6 Algebraic Solution Example
  379.    wt: 1:   3 Four Examples
  380.    wt: 1:   10 One Example
  381.    wt: 1:   8 One Example
  382.    wt: 1:   9 Volume of Cone
  383.    wt: 1:   8 Compound Interest Formula Evaluation
  384.    wt: 1:   7 Compound Interest Formula Introduction
  385.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  386.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  387.    wt: 1:   6 Power Set Notation
  388.    wt: 1:   5 Product Builder Notation
  389.    wt: 1:   4 Subset Builder Notation
  390.    wt: 1:   6 Three Notions of What is a Variable
  391.    wt: 1:   About Folder Contents
  392.    wt: 1:   3 Comparison of Negative Numbers
  393.    wt: 1:   1 Squares and Square Roots Introduction
  394.    wt: 1:   13 GCD from given Prime Factorization
  395.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  396.    wt: 1:   7 GCD and LCM from prime factorization
  397.    wt: 1:   5 Common Divisors 60 45 via Prime
  398.    wt: 1:   2 Least Common Multiple LCM intro via list method
  399.    wt: 1:   12 GCD 2700 288 via Prime
  400.    wt: 1:   4 signed coordinates for regions in space
  401.    wt: 1:   7 Converting or Changing Units
  402.    wt: 1:   4 Fractions with Units
  403.    wt: 1:   B Fractions and Two Term Ratios
  404.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  405.    wt: 1:   22 Complex Compound Fractions
  406.    wt: 1:   21 Reciprocals for Fractions and Wholes
  407.    wt: 1:   20 Dividing Fractions the Why
  408.    wt: 1:   19 Dividing Fractions How TO
  409.    wt: 1:   11 Simplification an Algebraic View
  410.    wt: 1:   9 Improper Fractions and Mixed Numbers
  411.    wt: 1:   8 Numerals Fractionals Quantals Take II
  412.    wt: 1:   7 Numerals Fractionals Quantals
  413.    wt: 1:   6 Multiplication of Mixed Numbers
  414.    wt: 1:   6 Multiplication Algebraically Take II
  415.    wt: 1:   5 Equivalent Fractions
  416.    wt: 1:   1 What is a fraction Take II
  417.    wt: 1:   1 What is a fraction
  418.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  419.    wt: 1:   13 Subtraction with Additive Inverse
  420.    wt: 1:   10 Integer Multiplication Formulas
  421.    wt: 1:   8 Multiplication by Signed Numbers Integers
  422.    wt: 1:   7 Multiplication by Signs
  423.    wt: 1:   6 Multiplication by Natural Numbers
  424.    wt: 1:   4 Adding Movements wiht opposite directions
  425.    wt: 1:   3 Adding Movements with same direction
  426.    wt: 1:   20 Uniqueness of Prime Factorization
  427.    wt: 1:   19 video Prime Factorization Unique
  428.    wt: 1:   18 video Count Factors given Prime Factorization
  429.    wt: 1:   15 video Factors of 20 using Prime Factorization
  430.    wt: 1:   10 video Prime Factorization upto 23 squared
  431.    wt: 1:   9 video Prime Factorization upto 19 squared
  432.    wt: 1:   8 video Prime Factorization upto 19
  433.    wt: 1:   7 Calculator Usage Notes and Cautions
  434.    wt: 1:   5 Prime Factorization and a Square Rule
  435.    wt: 1:   Division with Counts and Length
  436.    wt: 1:   4 Division with 2 Digit Divsors
  437.    wt: 1:   3 Division Single Digit Divisor Example
  438.    wt: 1:   2 Division with Single Digit Divisors
  439.    wt: 1:   1 Divsion Physical Examples
  440.    wt: 1:   D Decimal Multiplication Methods Derived
  441.    wt: 1:   A Elementary Basis for Multiplication Methods
  442.    wt: 1:   6 Multiplication Commutes Order Not Important
  443.    wt: 1:   3 More One Digit Multipliers
  444.    wt: 1:   2 One Digit Multipliers
  445.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  446.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  447.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  448.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  449.    wt: 1:   9 22 Minute Subtraction Review Video
  450.    wt: 1:   8 Subtraction with Units of Measure
  451.    wt: 1:   5 A Tip for Efficent Subtraction
  452.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  453.    wt: 1:   2 Subtraction Easy Case Examples
  454.    wt: 1:   7 Adding decimal fractions using decimal point
  455.    wt: 1:   1. Explaining Addition Table
  456.    wt: 1:   11 Place Value SI Standard International way
  457.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  458.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  459.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  460.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  461.    wt: 1:   Exact Arithmetic Wholes and Fractions
  462.    wt: 1:   Formula Evaluation how to show work
  463.    wt: 1:   About folder contents
  464.    wt: 1:   012 Division of Time Intervals by Time Intervals
  465.    wt: 1:   011 Division of Time Intervals By Numbers
  466.    wt: 1:   010 Repeated Addition of Time Intervals
  467.    wt: 1:   8 Addition of Time Intervals via subtotaling
  468.    wt: 1:   7 Addition of Time Intervals
  469.    wt: 1:   Example 2 volume of a cone
  470.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  471.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  472.    wt: 1:   Example 4 with x function of y
  473.    wt: 1:   Area Between Curves Lesson Take 2
  474.    wt: 1:   Area Between Curves Lesson Take 1
  475.    wt: 1:   4 Definite Integrals Evaluation Exercises
  476.    wt: 1:   1 Chain Rule in Reverse Integration Method
  477.    wt: 1:   A Related lessons in Volume 3
  478.    wt: 1:   4 Second derivative test exercise example
  479.    wt: 1:   3 Second derivative test
  480.    wt: 1:   2 Second derivative test prequel
  481.    wt: 1:   31 Derivatives of inverse functions
  482.    wt: 1:   29 Chain Rule Optional Reading
  483.    wt: 1:   28 Chain Rule Preparation for a Proof
  484.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  485.    wt: 1:   26 Chain Rule Recognising outer inner functions
  486.    wt: 1:   25 Chain Rule Animated Examples Continued
  487.    wt: 1:   22 Chain Rule for polynomials
  488.    wt: 1:   19 Chain Rule for linear functions
  489.    wt: 1:   18 Chain Rule Introduction
  490.    wt: 1:   7 Animated Differentiation Examples
  491.    wt: 1:   10 Three one sided limits with infinite values
  492.    wt: 1:   8 Four Animated Examples
  493.    wt: 1:   6 Continuity at a point
  494.    wt: 1:   5 Jumps and absence of unlimited error control
  495.    wt: 1:   2 Algebraic codification
  496.    wt: 1:   1 Numerical introduction
  497.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  498.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  499.    wt: 1:   G.5 Motions With Bounded Velocities
  500.    wt: 1:   G.3 Constant Difference Theorem Proof
  501.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  502.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  503.    wt: 1:   F.5a Equicontinuity Theorems
  504.    wt: 1:   E1 Error Control Inequalities
  505.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  506.    wt: 1:   A1. Introduction
  507.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  508.    wt: 1:   Chapter 23 Links To Trigonometry
  509.    wt: 1:   Chapter 21 Arrow Addition
  510.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  511.    wt: 1:   Chapter 18. Slopes Areas Integration
  512.    wt: 1:   Chapter 17. Area Approximation
  513.    wt: 1:   Chapter 16. Velocity Approximation
  514.    wt: 1:   Chapter 15. Slope Approximation
  515.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  516.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  517.    wt: 1:   Chapter 13. Acceleration
  518.    wt: 1:   Chapter 11. Graphing Slope versus Position
  519.    wt: 1:   Chapter 8. Slope Interpretation
  520.    wt: 1:   Chapter 1.Introduction
  521.    wt: 1:   Postscript More on Better Performance
  522.    wt: 1:   Chapter 31 Direct and Indirect Reason
  523.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  524.    wt: 1:   Chapter 25. Mathematical Induction Examples
  525.    wt: 1:   Chapter 23. Notation For Sums
  526.    wt: 1:   Chapter 19. Functions and Sets
  527.    wt: 1:   Chapter 15. Solving Linear Equations
  528.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  529.    wt: 1:   Chapter 13. Second Reading Guide
  530.    wt: 1:   Chapter 10 Describing and Changing Calculations
  531.    wt: 1:   Solutions For Arithmetic Exercises
  532.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  533.    wt: 1:   Chapter 3 Chains of Reason
  534.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  535.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  536.    wt: 1:   Postscript B Mathematics Education References
  537.    wt: 1:   Chapter 12 Four Phases
  538.    wt: 1:   Chapter 11 Elementary Instruction
  539.    wt: 1:   Chapter 10 Transition
  540.    wt: 1:   Chapter 8 Modern Instruction
  541.    wt: 1:   Chapter 7 Two Treatments of Geometry
  542.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  543.    wt: 1:   Chapter 5 Four References
  544.    wt: 1:   Chapter 1 Introduction
  545.    wt: 1:   Chapter 24 Direct and Indirect Reason
  546.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  547.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  548.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  549.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  550.    wt: 1:   Chapter 10 Responsibility
  551.    wt: 1:   Chapter 6 Chains of Reason
  552.    wt: 1:   Chapter 5 Deception
  553.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  554.    wt: 1:   Chapter 1 Introduction
  555.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  556.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  557.    wt: 1:   O On Learning Mathematics and Science
  558.    wt: 1:   N Improving Marks on Tests and Finals
  559.    wt: 1:   J. More on written work and showing skill
  560.    wt: 1:   H more Routine to non routine problem solving
  561.    wt: 1:   D. Check work a must with a caution
  562.    wt: 1:   How to Build Skills and Confidence
  563.    wt: 1:   Chapter 6 More Algebra and Geometry
  564.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  565.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  566.    wt: 1:   Chapter 3 Algebra Starter Lessons
  567.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  568.    wt: 1:   7 Games and Activities for Instruction
  569.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  570.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  571.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  572.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  573.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  574.    wt: 1:   Mathematics Education References
  575.    wt: 1:   Mathematics Education References
  576.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  577.    wt: 1:   Implementation Notes
  578.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  579.    wt: 1:   Road Safety Questions
  580.    wt: 1:   The Math Forum and Site Content

Extended Search

1114 matches:

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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