Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

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

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

Home << Search

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

Key Word Search

Folder Search

65 matches:

  1.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  3.    wt: 3:   4 Functions/
  4.    wt: 3:   8 Unit Circle Trigonometry/
  5.    wt: 3:   4 Lines and Slopes Take 1/
  6.    wt: 3:   8 Arithmetic with Signed Numbers/
  7.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  8.    wt: 2:   Parent Center/
  9.    wt: 2:   13 Vectors/
  10.    wt: 2:   Step 4 Gaussian Elimination/
  11.    wt: 2:   9 Combinatorics Trees Tables and Products/
  12.    wt: 2:   3 Prime Factorization Skills/
  13.    wt: 2:   D Decimal Long Division Methods/
  14.    wt: 2:   5 Lessons on Integration/
  15.    wt: 2:   4 Lessons on Using Derivatives/
  16.    wt: 2:   38 Lessons on Calculating Derivatives/
  17.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  18.    wt: 2:   Volume 2 Three Skills For Algebra/
  19.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  20.    wt: 2:   Secondary Mathematics A Practical Approach/
  21.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  22.    wt: 1:   LAMP Lean Applied Mathematics Program/
  23.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  24.    wt: 1:   Mathematics Education Essays/
  25.    wt: 1:   Volume 1A Regles et modeles/
  26.    wt: 1:   francais/
  27.    wt: 1:   Mathematics Skills Year by Year/
  28.    wt: 1:   3 Quadratics Geometrically/
  29.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  30.    wt: 1:   1 Five Polynomial Operations/
  31.    wt: 1:   More Algebra/
  32.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  33.    wt: 1:   12 Function Translating and Rescaling/
  34.    wt: 1:   11 Parallel Straight Lines and Transversals/
  35.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  36.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  37.    wt: 1:   7 Complex Numbers/
  38.    wt: 1:   6 Trigonometry first steps/
  39.    wt: 1:   5 What is Similarity/
  40.    wt: 1:   3 Cartesian and Polar Coordinates/
  41.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  42.    wt: 1:   1 Maps Plans Measurement/
  43.    wt: 1:   Geometry maps plans trigonometry vectors/
  44.    wt: 1:   8 Unifying Theme For Algebra/
  45.    wt: 1:   4 Computation Rules and Function Notation/
  46.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  47.    wt: 1:   11 Squares and Square Roots/
  48.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  49.    wt: 1:   7 Arithmetic and Fractions with Units/
  50.    wt: 1:   6 Fractions and Ratios/
  51.    wt: 1:   5 Integers/
  52.    wt: 1:   C Decimal Multiplication Methods/
  53.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  54.    wt: 1:   A Decimal Counting and Adding Methods/
  55.    wt: 1:   2 Arithmetic with Decimals/
  56.    wt: 1:   1 Decimal Place Value/
  57.    wt: 1:   Arithmetic and Number Theory Skills/
  58.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  59.    wt: 1:   13 Lessons on Limits and Continuity/
  60.    wt: 1:   70 Calculus Starter Lessons/
  61.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  62.    wt: 1:   Volume 1A Pattern Based Reason/
  63.    wt: 1:   Volume 1 Elements of Reason/
  64.    wt: 1:   Mathematics 506 Lessons/
  65.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

344 matches:

  1.    wt: 3:   04 25 when to stop or suspend mathemat
  2.    wt: 3:   13 From one to one to many to one
  3.    wt: 3:   8 Notes for instructors or tutors
  4.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  5.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  6.    wt: 3:   18 video Count Factors given Prime Factorization
  7.    wt: 3:   14 video Factors of 24 Take II
  8.    wt: 3:   8 video Prime Factorization upto 19
  9.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  10.    wt: 2:   04 29 New Mathematics Curriculum
  11.    wt: 2:   How to be a better instructor
  12.    wt: 2:   words for mathematics instructor
  13.    wt: 2:   chapitre 04 08 Limitations et benefices
  14.    wt: 2:   chapitre 04 04 Parlons de la logique
  15.    wt: 2:   22 Student Centered Highschool Mathematics
  16.    wt: 2:   18 Primary School Mathematics
  17.    wt: 2:   Ages 12 to 14 Skills with take home value
  18.    wt: 2:   Ages 12 to 14 Geometry
  19.    wt: 2:   Ages 12 to 14 Arithmetic
  20.    wt: 2:   Ages 8 to 9
  21.    wt: 2:   Ages 7 to 8
  22.    wt: 2:   Ages 4 plus to 5 plus
  23.    wt: 2:   Ages 3 plus to 4 plus
  24.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  25.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  26.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  27.    wt: 2:   4 Function notation in and beyond mathematics
  28.    wt: 2:   12 From Applied To Pure Mathematics
  29.    wt: 2:   8 Parallel Vectors
  30.    wt: 2:   Triangle Angles Sum To 180 Degrees
  31.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  32.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  33.    wt: 2:   4 Polar Coordinates to and from
  34.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  35.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  36.    wt: 2:   4 Angles on Maps Plans drawn to scale
  37.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  38.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  39.    wt: 2:   4 A Brief Story of numbers and algebra
  40.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  41.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  42.    wt: 2:   4 LCM of 8 and 10 via Prime
  43.    wt: 2:   12 GCD 2700 288 via Prime
  44.    wt: 2:   18 Efficient Ways to Multiply
  45.    wt: 2:   14 Adding and Subtracting with Like Denominators
  46.    wt: 2:   16 video Factors of 980 using prime
  47.    wt: 2:   15 video Factors of 20 using Prime Factorization
  48.    wt: 2:   13 video Factors of 24 using prime
  49.    wt: 2:   10 video Prime Factorization upto 23 squared
  50.    wt: 2:   9 video Prime Factorization upto 19 squared
  51.    wt: 2:   4 video Prime Factorization Introduction
  52.    wt: 2:   8 What skills and work habits to require
  53.    wt: 2:   4. How to add with decimals B with conversions
  54.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  55.    wt: 2:   8 Addition of Time Intervals via subtotaling
  56.    wt: 2:   Appendix E. How To Study Mathematics and Why
  57.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  58.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  59.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  60.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  61.    wt: 2:   A. Skill has to be seen to believed
  62.    wt: 2:   Chapter 8 Skipped Topics and Why
  63.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  64.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  65.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  66.    wt: 1:   E LAMP Introduction Modern Mathematics
  67.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  68.    wt: 1:   Skills Chapter 4 Logic
  69.    wt: 1:   11 pure mathematics
  70.    wt: 1:   9 combinatorics probability sets
  71.    wt: 1:   8 analytic geometry etc
  72.    wt: 1:   4 algebra
  73.    wt: 1:   which way to go
  74.    wt: 1:   three goals to set for students
  75.    wt: 1:   Applied Maths Program14092009 POMME variant
  76.    wt: 1:   Mathematics Education Professors
  77.    wt: 1:   grouping students according to ability
  78.    wt: 1:   mathematics in context
  79.    wt: 1:   Secondary Three Mathematics
  80.    wt: 1:   Secondary Two Mathematics
  81.    wt: 1:   Secondary One Mathematics
  82.    wt: 1:   What to Tell Students
  83.    wt: 1:   mathematics curriculum shifts
  84.    wt: 1:   teaching tutoring algebraic reason
  85.    wt: 1:   three goals for Mathematics Education
  86.    wt: 1:   02 20 mathematics education references
  87.    wt: 1:   three aims for mathematics students
  88.    wt: 1:   Operational Viewpoint to Value
  89.    wt: 1:   mathematics instruction in general
  90.    wt: 1:   Education in mathematics science and technology
  91.    wt: 1:   three kinds of reason in mathematics
  92.    wt: 1:   Four ways to improve education reform
  93.    wt: 1:   need for a mixed mathematics curriculum
  94.    wt: 1:   Leaner mathematics curriculum
  95.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  96.    wt: 1:   chapitre 04 09 Regles accidentelles
  97.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  98.    wt: 1:   chapitre 04 06 engagements
  99.    wt: 1:   chapitre 04 05 Implication versus suggestion
  100.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  101.    wt: 1:   chapitre 04 02 Deuxieme enigme
  102.    wt: 1:   chapitre 04 01 Premiere enigme
  103.    wt: 1:   chapitre 04 00 Les regles d implication
  104.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  105.    wt: 1:   4 Energy Power Heat09
  106.    wt: 1:   3 Energy Power Heat08
  107.    wt: 1:   D Energy Power04
  108.    wt: 1:   F Wire Resistance Calculation04
  109.    wt: 1:   3 Like resistors in parallel
  110.    wt: 1:   2 Unlike resistors in parallel01
  111.    wt: 1:   1 Like resistors in series
  112.    wt: 1:   F Unlike Resistors in Series
  113.    wt: 1:   Home Tutoring and Home Schooling
  114.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  115.    wt: 1:   24 Standards For Skill Develoment Take II
  116.    wt: 1:   24 Standards For Skill Develoment
  117.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  118.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  119.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  120.    wt: 1:   17 Math Booklets for children and young teenagers
  121.    wt: 1:   16 Secondary Mathematics Tips
  122.    wt: 1:   14 Multiplication and Times Tables
  123.    wt: 1:   12 Goals and Objectives For Mathematics
  124.    wt: 1:   8 The Effect of Negative Remarks
  125.    wt: 1:   4 Learning Takes Time and Effort
  126.    wt: 1:   Ages 10 to 12 Geometry
  127.    wt: 1:   Ages 10 to 12 Arithmetic
  128.    wt: 1:   Ages 9 to 10
  129.    wt: 1:   Ages 6 to 7
  130.    wt: 1:   sign monoticity analysis example 4
  131.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  132.    wt: 1:   18 Vertical Line Rule and Method
  133.    wt: 1:   14 Surjections Injections Bijections
  134.    wt: 1:   8 Set view of relations and functions
  135.    wt: 1:   8 quadratics backward use of various formulas
  136.    wt: 1:   4 quadratics difference of two squares
  137.    wt: 1:   3 quadratics factoring by inspection
  138.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  139.    wt: 1:   5 Natural Logarithm Calculator Exercises
  140.    wt: 1:   1 Calculator Starter Exercises
  141.    wt: 1:   4 Polynomials Long division linear divisor
  142.    wt: 1:   14 secant function Definition Graph and Inverse
  143.    wt: 1:   8 arcsin left inverse of sine Graph
  144.    wt: 1:   4 possible motivation for term arccos
  145.    wt: 1:   9 Summary Degrees to Radians and back
  146.    wt: 1:   8 Radian Measures of Common Angles
  147.    wt: 1:   6 Radian Measure to Degrees
  148.    wt: 1:   5 Degrees to Radian Measure
  149.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  150.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  151.    wt: 1:   13 Velocity Vectors in Physics
  152.    wt: 1:   9 Head to Tail Coordinate View
  153.    wt: 1:   6 Vectors with Coordinates
  154.    wt: 1:   5 Head To Tail Arrow Addition
  155.    wt: 1:   4 Resultant of a Sum of Movements
  156.    wt: 1:   3 Navigation with Arrows or Vectors
  157.    wt: 1:   Vector and Complex Number Applet
  158.    wt: 1:   4 graphing y=Asin(x c)
  159.    wt: 1:   14 Straight Lines Equations General Case
  160.    wt: 1:   8 Straight Lines Equation for vertical
  161.    wt: 1:   4 Tangent Function Properties
  162.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  163.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  164.    wt: 1:   28 Expressing products of sines cosines as sums
  165.    wt: 1:   24 tangent Angle Difference Formula
  166.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  167.    wt: 1:   18 sum of sinusoidal waves as a single wave
  168.    wt: 1:   14 cosine even and sine and tangent are odd
  169.    wt: 1:   8 period of tangent function
  170.    wt: 1:   18 Sixth Roots of Unity
  171.    wt: 1:   14 Law of cosines
  172.    wt: 1:   8 Unit Circle Development of Trigonometry
  173.    wt: 1:   7 Second Way to Calculate Products
  174.    wt: 1:   4 Multiplication Properties
  175.    wt: 1:   8 Triangles Cascade Problem Solving
  176.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  177.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  178.    wt: 1:   8 Similarity of Triangles and Polygons
  179.    wt: 1:   4 Similarity Definition with Coordinate
  180.    wt: 1:   8 Mid Point Formula
  181.    wt: 1:   7 Exercises to test skill and concept mastery
  182.    wt: 1:   4 Equations for lines three forms
  183.    wt: 1:   8 Distance Between Points on a Line
  184.    wt: 1:   18 Triangle Similarity Take 1
  185.    wt: 1:   17 Right Bisectors of Triangle Sides
  186.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  187.    wt: 1:   14 Parallel Lines Postulate
  188.    wt: 1:   10 Dropping a perpendicular to line
  189.    wt: 1:   9 Construction of a right bisector
  190.    wt: 1:   8 Isoceles Triangles
  191.    wt: 1:   4 Side Side Side
  192.    wt: 1:   6 Figuring with Maps Not to Scale
  193.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  194.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  195.    wt: 1:   21 Addition of Multiples of a Single Vector
  196.    wt: 1:   19 Signed Multiples of Vectors
  197.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  198.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  199.    wt: 1:   15 Head to Tails in place Addition Associative
  200.    wt: 1:   13 Arrows and Vectors in a Plane
  201.    wt: 1:   8 Division and Mulplication of Compound Fractions
  202.    wt: 1:   4 Location of Point in Decimal Addition
  203.    wt: 1:   8 Column Multiplication Methods in General
  204.    wt: 1:   4 Commutative Law Groups Counting Form
  205.    wt: 1:   4 Fraction Operations Axiomatic Development
  206.    wt: 1:   4 Rates Ratios and Proporitionality
  207.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  208.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  209.    wt: 1:   4 Subtraction and Division Axioms
  210.    wt: 1:   4 Comparison of Negative Numbers
  211.    wt: 1:   14 Real Number Multiplication
  212.    wt: 1:   8 Coordinates for Maps and Planes
  213.    wt: 1:   4 Rational Numbers
  214.    wt: 1:   4 Changing Letters
  215.    wt: 1:   4 GE III Animated Examples
  216.    wt: 1:   4 Solving a triangular system exercise
  217.    wt: 1:   4 Four Examples Fractional Coefficients
  218.    wt: 1:   8 One Example
  219.    wt: 1:   4 Two Examples
  220.    wt: 1:   8 Compound Interest Formula Evaluation
  221.    wt: 1:   4 Circle Area Formula Example
  222.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  223.    wt: 1:   8 Sets of Numbers
  224.    wt: 1:   4 Subset Builder Notation
  225.    wt: 1:   3 Adding Words To Arithmetic
  226.    wt: 1:   4 Greater More Less Than Signs in General
  227.    wt: 1:   4 Square Roots with primes more
  228.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  229.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  230.    wt: 1:   13 GCD from given Prime Factorization
  231.    wt: 1:   8 GCD from Euclidean Algorithm
  232.    wt: 1:   7 GCD and LCM from prime factorization
  233.    wt: 1:   5 Common Divisors 60 45 via Prime
  234.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  235.    wt: 1:   4 Counting with Trees Product Rule Take I
  236.    wt: 1:   8 multiplying signed numbers
  237.    wt: 1:   4 signed coordinates for regions in space
  238.    wt: 1:   4 Fractions with Units
  239.    wt: 1:   19 Dividing Fractions How TO
  240.    wt: 1:   17 Efficient Ways to Add and Subtract
  241.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  242.    wt: 1:   8 Numerals Fractionals Quantals Take II
  243.    wt: 1:   4 Fraction Multiplication
  244.    wt: 1:   8 Multiplication by Signed Numbers Integers
  245.    wt: 1:   4 Adding Movements wiht opposite directions
  246.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  247.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  248.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  249.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  250.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  251.    wt: 1:   20 Uniqueness of Prime Factorization
  252.    wt: 1:   19 video Prime Factorization Unique
  253.    wt: 1:   17 Identify and Count Factors using Primes
  254.    wt: 1:   7 Calculator Usage Notes and Cautions
  255.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  256.    wt: 1:   5 Prime Factorization and a Square Rule
  257.    wt: 1:   1 video how Products are bigger than factor
  258.    wt: 1:   8 Correcting the Mistake
  259.    wt: 1:   4 Division with 2 Digit Divsors
  260.    wt: 1:   4 Two and Three Digit Multipliers
  261.    wt: 1:   8 Subtraction with Units of Measure
  262.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  263.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  264.    wt: 1:   5. How to add decimals C. Examples
  265.    wt: 1:   3. How to add with decimals A sans conversions
  266.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  267.    wt: 1:   Quick history of numbers and algebra
  268.    wt: 1:   Formula Evaluation how to show work
  269.    wt: 1:   Expression Evaluation how to show work
  270.    wt: 1:   014 Counting Days with Calendars
  271.    wt: 1:   4 Mixing and Changing Units of Time
  272.    wt: 1:   1 Intro of Kids To Time Date Skills
  273.    wt: 1:   Example 4 with x function of y
  274.    wt: 1:   4 Definite Integrals Evaluation Exercises
  275.    wt: 1:   4 Second derivative test exercise example
  276.    wt: 1:   38 Formulas and derivatives for powers and roots
  277.    wt: 1:   34 Derivative of exponential function
  278.    wt: 1:   28 Chain Rule Preparation for a Proof
  279.    wt: 1:   24 Chain Rule Animated Examples
  280.    wt: 1:   18 Chain Rule Introduction
  281.    wt: 1:   14 sine and cosine derivatives 2nd step
  282.    wt: 1:   8 Differentiation of polynomials
  283.    wt: 1:   4 Sum Rule
  284.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  285.    wt: 1:   8 Four Animated Examples
  286.    wt: 1:   4 Numerical properties
  287.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  288.    wt: 1:   F.4 Finite Covering Theorem
  289.    wt: 1:   D2 Limits of Monotone Sequences
  290.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  291.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  292.    wt: 1:   Chapter 23 Links To Trigonometry
  293.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  294.    wt: 1:   Chapter 18. Slopes Areas Integration
  295.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  296.    wt: 1:   Chapter 8. Slope Interpretation
  297.    wt: 1:   Chapter 4. More Slope Sign Analysis
  298.    wt: 1:   Fall 1983 Calculus Appetizer
  299.    wt: 1:   Appendix D. What to do in School and Why
  300.    wt: 1:   Appendix C. How to Read
  301.    wt: 1:   Appendix B. How To Learn
  302.    wt: 1:   Chapter 28 Occurrence Tables
  303.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  304.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  305.    wt: 1:   Chapter 18. Rules for Algebra
  306.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  307.    wt: 1:   Chapter 8 Three Skills For Algebra
  308.    wt: 1:   Chapter 4 Longer Chains of Reason
  309.    wt: 1:   Annotated Links to Material Elsehwere
  310.    wt: 1:   Postscript B Mathematics Education References
  311.    wt: 1:   Chapter 8 Modern Instruction
  312.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  313.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  314.    wt: 1:   Chapter 2 For and Against Mathematics
  315.    wt: 1:   Postscript C Consistency as a Tool for Reason
  316.    wt: 1:   Postscript B More on Story Telling and Reason
  317.    wt: 1:   Postscript A Story Telling
  318.    wt: 1:   Chapter 24 Direct and Indirect Reason
  319.    wt: 1:   Chapter 18 Sense and Knowledge
  320.    wt: 1:   Chapter 8 Change of Language
  321.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  322.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  323.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  324.    wt: 1:   S Adding words to algebra
  325.    wt: 1:   R Why Learn Mathematics Skills
  326.    wt: 1:   O On Learning Mathematics and Science
  327.    wt: 1:   N Mathematics Prepare for College Studies
  328.    wt: 1:   M Words to extend arithmetic
  329.    wt: 1:   H more Routine to non routine problem solving
  330.    wt: 1:   F. The student teacher tutor feedback loop
  331.    wt: 1:   E. When and how to correct errors
  332.    wt: 1:   How to Build Skills and Confidence
  333.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  334.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  335.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  336.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  337.    wt: 1:   Helping the Blind in Logic and Mathematics
  338.    wt: 1:   Mathematics Education References
  339.    wt: 1:   Mathematics Education References
  340.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  341.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  342.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  343.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  344.    wt: 1:   Which Way To Go

Extended Search

1009 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

Return to Page Top

Home << Search

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

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

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

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

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