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

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

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

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

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

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

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

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48 matches:

  1.    wt: 2:   Parent Center/
  2.    wt: 2:   9 Proportionality Backwards and Forwards/
  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  5.    wt: 2:   11 Squares and Square Roots/
  6.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 2:   9 Combinatorics Trees Tables and Products/
  8.    wt: 2:   7 Arithmetic and Fractions with Units/
  9.    wt: 2:   6 Fractions and Ratios/
  10.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 2:   A Decimal Counting and Adding Methods/
  13.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  14.    wt: 1:   LAMP Lean Applied Mathematics Program/
  15.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  16.    wt: 1:   Mathematics Education Essays/
  17.    wt: 1:   Mathematics Skills Year by Year/
  18.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  19.    wt: 1:   12 Function Translating and Rescaling/
  20.    wt: 1:   11 Parallel Straight Lines and Transversals/
  21.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   4 Lines and Slopes Take 1/
  24.    wt: 1:   3 Cartesian and Polar Coordinates/
  25.    wt: 1:   A Origins of Counting and Figuring Methods/
  26.    wt: 1:   8 Unifying Theme For Algebra/
  27.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  28.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  29.    wt: 1:   4 Computation Rules and Function Notation/
  30.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   8 Arithmetic with Signed Numbers/
  33.    wt: 1:   5 Integers/
  34.    wt: 1:   3 Prime Factorization Skills/
  35.    wt: 1:   D Decimal Long Division Methods/
  36.    wt: 1:   C Decimal Multiplication Methods/
  37.    wt: 1:   2 Arithmetic with Decimals/
  38.    wt: 1:   1 Decimal Place Value/
  39.    wt: 1:   Arithmetic and Number Theory Skills/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  44.    wt: 1:   Work and Study Tips/
  45.    wt: 1:   Resources and Reciprocal Links/
  46.    wt: 1:   Mathematics 506 Lessons/
  47.    wt: 1:   Secondary Mathematics A Practical Approach/
  48.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

409 matches:

  1.    wt: 5:   12 Goals and Objectives For Mathematics
  2.    wt: 4:   38 Formulas and derivatives for powers and roots
  3.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  4.    wt: 3:   three goals for Mathematics Education
  5.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  6.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  7.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 3:   26 Formulas for products of sines and cosines
  10.    wt: 3:   17E Trig Formulas for dot and cross Products
  11.    wt: 3:   17D cis formulas for sine cosines and tangent
  12.    wt: 3:   13 Trig Formulas for dot and cross Products
  13.    wt: 3:   12 cis formulas for sine cosines and tangent
  14.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  15.    wt: 3:   2 More and Less Than for Counts and Measures
  16.    wt: 3:   1 Written work formats for developing and showing skill
  17.    wt: 3:   1 More and Less Than for Counts and Measures
  18.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  19.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  20.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  21.    wt: 3:   Chapter 2 For and Against Mathematics
  22.    wt: 3:   G. Written work formats for developing and showing skill
  23.    wt: 2:   three goals to set for students
  24.    wt: 2:   three aims for mathematics students
  25.    wt: 2:   standards for course material
  26.    wt: 2:   formal or informal peer review
  27.    wt: 2:   Education in mathematics science and technology
  28.    wt: 2:   need for a mixed mathematics curriculum
  29.    wt: 2:   Prequel In For A Penny In For A Pound
  30.    wt: 2:   fairness and inductive principles for instruction
  31.    wt: 2:   words for mathematics instructor
  32.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  33.    wt: 2:   24 Standards For Skill Develoment Take II
  34.    wt: 2:   24 Standards For Skill Develoment
  35.    wt: 2:   22 Student Centered Highschool Mathematics
  36.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  37.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  38.    wt: 2:   17 Math Booklets for children and young teenagers
  39.    wt: 2:   5 Patience Please for Yourself and Your Charges
  40.    wt: 2:   4 Learning Takes Time and Effort
  41.    wt: 2:   6 Set Existence Formation and Notation
  42.    wt: 2:   5 Function notation for geometric transformations
  43.    wt: 2:   4 Function notation in and beyond mathematics
  44.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  45.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  46.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  47.    wt: 2:   29 secant cosecant and cotangent for acute angles
  48.    wt: 2:   21 sine and cosine Half Angle Formulas
  49.    wt: 2:   20 sine and cosine Double Angle Formulas
  50.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  51.    wt: 2:   17C sine and cosine double triple angle formulas
  52.    wt: 2:   14 cosine even and sine and tangent are odd
  53.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  54.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  55.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  56.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  57.    wt: 2:   11 sine and cosine double triple angle formulas
  58.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  59.    wt: 2:   4 Equations for lines three forms
  60.    wt: 2:   3 Lengths and Areas on Maps and Plans
  61.    wt: 2:   6 Compound Interest Forward and Backwards
  62.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  63.    wt: 2:   8 Coordinates for Maps and Planes
  64.    wt: 2:   3 Geometric Formulas and Function Notation
  65.    wt: 2:   1 Formulas Dependence and Function Notation
  66.    wt: 2:   Formula Usage Show Work Format
  67.    wt: 2:   3 signed coordinates for maps and planes
  68.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  69.    wt: 2:   21 Reciprocals for Fractions and Wholes
  70.    wt: 2:   11 Adding Integers Formulas and Examples
  71.    wt: 2:   Long Division forwards and backwards Example 3
  72.    wt: 2:   Long Division forwards and backwards Example 2
  73.    wt: 2:   Long Division forwards and backwards Example 1
  74.    wt: 2:   6. Counting and adding units and mixed units
  75.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  76.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  77.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  78.    wt: 2:   PostScript For and Against Decimal Perspectives
  79.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  80.    wt: 2:   Postscript For Better Performance
  81.    wt: 2:   Appendix E. How To Study Mathematics and Why
  82.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  83.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  84.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  85.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  86.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  87.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  88.    wt: 2:   O On Learning Mathematics and Science
  89.    wt: 2:   N Mathematics Prepare for College Studies
  90.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  91.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  92.    wt: 2:   7 Games and Activities for Instruction
  93.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  94.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  95.    wt: 2:   Helping the Blind in Logic and Mathematics
  96.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  97.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  98.    wt: 2:   The Math Forum and Site Content
  99.    wt: 1:   Appendix 1 primary and preschool mathematic
  100.    wt: 1:   E LAMP Introduction Modern Mathematics
  101.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  102.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  103.    wt: 1:   A Introduction Objectives
  104.    wt: 1:   11 pure mathematics
  105.    wt: 1:   7 logic review and decimals an odd combination
  106.    wt: 1:   5 logarithms and exponentials etc
  107.    wt: 1:   Teach the teachers plus goals
  108.    wt: 1:   permissions for teachers
  109.    wt: 1:   activities for students
  110.    wt: 1:   key notes and themes
  111.    wt: 1:   Mathematics Education Professors
  112.    wt: 1:   what should be learnt and When
  113.    wt: 1:   mathematics in context
  114.    wt: 1:   Education Reform Inconsistencies
  115.    wt: 1:   Secondary Three Mathematics
  116.    wt: 1:   Secondary Two Mathematics
  117.    wt: 1:   Secondary One Mathematics
  118.    wt: 1:   mathematics curriculum shifts
  119.    wt: 1:   geometric implications for algebra
  120.    wt: 1:   04 29 New Mathematics Curriculum
  121.    wt: 1:   02 21 words for teachers
  122.    wt: 1:   02 20 mathematics education references
  123.    wt: 1:   mathematics instruction in general
  124.    wt: 1:   three kinds of reason in mathematics
  125.    wt: 1:   Four ways to improve education reform
  126.    wt: 1:   Motivation and Context Problem
  127.    wt: 1:   Leaner mathematics curriculum
  128.    wt: 1:   C Electromotive force conventional current02
  129.    wt: 1:   B Electromotive force conventional current01
  130.    wt: 1:   Home Tutoring and Home Schooling
  131.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  132.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  133.    wt: 1:   18 Primary School Mathematics
  134.    wt: 1:   16 Secondary Mathematics Tips
  135.    wt: 1:   15 Counting For Parents
  136.    wt: 1:   14 Multiplication and Times Tables
  137.    wt: 1:   13 Addition and Addition Tables
  138.    wt: 1:   11 Help and Defend Your Child or Teens Education
  139.    wt: 1:   10 Ends values for work study instruction
  140.    wt: 1:   3 Preparing for Science Studies
  141.    wt: 1:   2 Reading and Writing Skills
  142.    wt: 1:   26 Function definitions done and coming
  143.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  144.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  145.    wt: 1:   19 Horizontal line rule and method
  146.    wt: 1:   18 Vertical Line Rule and Method
  147.    wt: 1:   17 Function maxima minima and their location
  148.    wt: 1:   11 Function Domain Range Source and Targets
  149.    wt: 1:   8 Set view of relations and functions
  150.    wt: 1:   3 Formula or function graphing exercise
  151.    wt: 1:   9 quadratics physical and further context
  152.    wt: 1:   8 quadratics backward use of various formulas
  153.    wt: 1:   7 quadratic formulla derivation
  154.    wt: 1:   11 Growth and Decay in Biology
  155.    wt: 1:   10 Exponential Growth and Decay Models
  156.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  157.    wt: 1:   8 Notes for instructors or tutors
  158.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  159.    wt: 1:   16 cotangent function Definition Graph and Inverse
  160.    wt: 1:   15 cosecant function Definition Graph and Inverse
  161.    wt: 1:   14 secant function Definition Graph and Inverse
  162.    wt: 1:   13 cosecant function Definition Graph and Inverse
  163.    wt: 1:   12 motivation for term arctan
  164.    wt: 1:   9 motivation for name arcsin
  165.    wt: 1:   4 possible motivation for term arccos
  166.    wt: 1:   9 Summary Degrees to Radians and back
  167.    wt: 1:   1 Degrees and Radians Introduction
  168.    wt: 1:   A Global Time and Navigation
  169.    wt: 1:   15 Dot and Cross Product
  170.    wt: 1:   12 From Applied To Pure Mathematics
  171.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  172.    wt: 1:   Vector and Complex Number Applet
  173.    wt: 1:   Parallel Lines and Parallel Transversals
  174.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  175.    wt: 1:   Parallel Lines and Interior Angles
  176.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  177.    wt: 1:   8 Straight Lines Equation for vertical
  178.    wt: 1:   17 tangent function angle sum formulas
  179.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  180.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  181.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  182.    wt: 1:   27 Logarithmic use of products of sines and cosines
  183.    wt: 1:   25 tangent double angle formula Slope connection
  184.    wt: 1:   24 tangent Angle Difference Formula
  185.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  186.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  187.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  188.    wt: 1:   12 Graph of tangent function for one period
  189.    wt: 1:   10 Graphs of sines and cosines many periods
  190.    wt: 1:   9 Graphs of sine and cosine over one period
  191.    wt: 1:   7 period of sine and cosine
  192.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  193.    wt: 1:   21 Logarithms Powers and Exponentials
  194.    wt: 1:   16 References and Originality Question
  195.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  196.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  197.    wt: 1:   3 Trigonometric Ratios sine and cosine
  198.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  199.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  200.    wt: 1:   8 Similarity of Triangles and Polygons
  201.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  202.    wt: 1:   10 Midpoint of [a b] and [b a]
  203.    wt: 1:   8 Mid Point Formula
  204.    wt: 1:   7 Exercises to test skill and concept mastery
  205.    wt: 1:   3 Slope product for perpendicular lines
  206.    wt: 1:   2 point slope equation for a line
  207.    wt: 1:   1 Numerical view of lines and their equations
  208.    wt: 1:   What is and is not here
  209.    wt: 1:   13 Pythagorean spatial distance formulas
  210.    wt: 1:   10 Pythagorean plane distance formula
  211.    wt: 1:   6 Polar Multiplication and Rotation
  212.    wt: 1:   5 Cartesian Addition and Translation
  213.    wt: 1:   4 Polar Coordinates to and from
  214.    wt: 1:   PS H Distributive Law For Complex Numbers
  215.    wt: 1:   16 Angles Subtended By Chords and Diameters
  216.    wt: 1:   6 Ruler and compass Angle Bisection
  217.    wt: 1:   1 Initial Concepts and Terms
  218.    wt: 1:   A Modular and Remainder Arithmetic
  219.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  220.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  221.    wt: 1:   13 Arrows and Vectors in a Plane
  222.    wt: 1:   11 Signed Number Addition and Addition Properties
  223.    wt: 1:   8 Division and Mulplication of Compound Fractions
  224.    wt: 1:   B Decimal Comparison and Subtraction
  225.    wt: 1:   6 Column Methods for Decimal Multiplication
  226.    wt: 1:   5 Distributive Law for Whole Numbers
  227.    wt: 1:   4 Commutative Law Groups Counting Form
  228.    wt: 1:   2 Combing Counts Addition Skills and Principles
  229.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  230.    wt: 1:   4 Rates Ratios and Proporitionality
  231.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  232.    wt: 1:   5 Triangle Area Formula Backwards
  233.    wt: 1:   6 Equations and Systems Equivalent or Implied
  234.    wt: 1:   4 Subtraction and Division Axioms
  235.    wt: 1:   3 Product Axioms Two Forms
  236.    wt: 1:   2 Addition and Multiplication Axioms
  237.    wt: 1:   3 More and Less Than with Unlike Signs
  238.    wt: 1:   10 Real Number Lengths and Signs
  239.    wt: 1:   9 Coordinates for Regions in Space
  240.    wt: 1:   1 Whole and Natural Numbers
  241.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  242.    wt: 1:   3 GE III Equation Addition and Multiplication
  243.    wt: 1:   Using Letters for Physical Quantities
  244.    wt: 1:   13 Naming Identifying Formulas with Words
  245.    wt: 1:   8 Compound Interest Formula Evaluation
  246.    wt: 1:   7 Compound Interest Formula Introduction
  247.    wt: 1:   5 Box Volume Formula Example
  248.    wt: 1:   4 Circle Area Formula Example
  249.    wt: 1:   3 Triangle Area Formula Example
  250.    wt: 1:   2 Another Rectangle Area Formula Example
  251.    wt: 1:   9 Sets in Probability and Statistics
  252.    wt: 1:   5 Talking about Numbers and Quantities
  253.    wt: 1:   4 A Brief Story of numbers and algebra
  254.    wt: 1:   1 Three Skills For Algebra
  255.    wt: 1:   arithmetic videos Real Player Format
  256.    wt: 1:   2 More and Less Than with Unlike Signs
  257.    wt: 1:   1 Squares and Square Roots Introduction
  258.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  259.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  260.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  261.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  262.    wt: 1:   7 GCD and LCM from prime factorization
  263.    wt: 1:   4 LCM of 8 and 10 via Prime
  264.    wt: 1:   3 Counting with Tables and Trees II
  265.    wt: 1:   2 Counting with Tables and Trees I
  266.    wt: 1:   1 Counting and Counting Methods I
  267.    wt: 1:   11 What are real lengths and numbers
  268.    wt: 1:   7 negative and additive inverse
  269.    wt: 1:   5 lengths and signs of numbers
  270.    wt: 1:   4 signed coordinates for regions in space
  271.    wt: 1:   2 signed and unsigned numbers as coordinates
  272.    wt: 1:   3 Multiplying Units and Numbers
  273.    wt: 1:   2 Equality and Units
  274.    wt: 1:   1 Addition and Subtraction with Units
  275.    wt: 1:   B Fractions and Two Term Ratios
  276.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  277.    wt: 1:   17 Efficient Ways to Add and Subtract
  278.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  279.    wt: 1:   14 Adding and Subtracting with Like Denominators
  280.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  281.    wt: 1:   9 Improper Fractions and Mixed Numbers
  282.    wt: 1:   10 Integer Multiplication Formulas
  283.    wt: 1:   5 Zero Movement and Additive Inverses
  284.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  285.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  286.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  287.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  288.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  289.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  290.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  291.    wt: 1:   17 Identify and Count Factors using Primes
  292.    wt: 1:   12 LCD GCD and LCM using Primes
  293.    wt: 1:   7 Calculator Usage Notes and Cautions
  294.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  295.    wt: 1:   5 Prime Factorization and a Square Rule
  296.    wt: 1:   3 video Primes and Composites from 9 times table
  297.    wt: 1:   2 Prime and Composites less than 16
  298.    wt: 1:   Division with Counts and Length
  299.    wt: 1:   10 Division by Five Long and Short Ways
  300.    wt: 1:   A Elementary Basis for Multiplication Methods
  301.    wt: 1:   4 Two and Three Digit Multipliers
  302.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  303.    wt: 1:   5 A Tip for Efficent Subtraction
  304.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  305.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  306.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  307.    wt: 1:   8 What skills and work habits to require
  308.    wt: 1:   11 Place Value SI Standard International way
  309.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  310.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  311.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  312.    wt: 1:   Quick history of numbers and algebra
  313.    wt: 1:   Exact Arithmetic Wholes and Fractions
  314.    wt: 1:   Formula Evaluation how to show work
  315.    wt: 1:   015 School and work day counting tables
  316.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  317.    wt: 1:   4 Mixing and Changing Units of Time
  318.    wt: 1:   3 Units and Lengths of Time
  319.    wt: 1:   2 Time and Date Matters in School
  320.    wt: 1:   Example 1. Area Between x and x squared
  321.    wt: 1:   28 Chain Rule Preparation for a Proof
  322.    wt: 1:   22 Chain Rule for polynomials
  323.    wt: 1:   21 Chain Rule for powers
  324.    wt: 1:   20 Chain Rule for Pulley Systems
  325.    wt: 1:   19 Chain Rule for linear functions
  326.    wt: 1:   17 Derivatives of quotients of sine and cosine
  327.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  328.    wt: 1:   15 sine and cosine derivatives 3rd step
  329.    wt: 1:   14 sine and cosine derivatives 2nd step
  330.    wt: 1:   13 sine and cosine derivatives 1st step
  331.    wt: 1:   10 Power rule for negative integers
  332.    wt: 1:   3 Motivation for Limit Definition Take 2
  333.    wt: 1:   2 Motivation for Limit Definition Take 1
  334.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  335.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  336.    wt: 1:   9 Limits Continuity and Composition
  337.    wt: 1:   5 Jumps and absence of unlimited error control
  338.    wt: 1:   3 Decimal insights for limits continuity convergence
  339.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  340.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  341.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  342.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  343.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  344.    wt: 1:   Chapter 12. Units and Slopes
  345.    wt: 1:   Chapter 10 Slopes and Units
  346.    wt: 1:   Chapter 7 Slopes and Velocity
  347.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  348.    wt: 1:   Chapter 2. Slopes and Ski Trails
  349.    wt: 1:   Foreword
  350.    wt: 1:   Postscript More on Better Performance
  351.    wt: 1:   Appendix D. What to do in School and Why
  352.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  353.    wt: 1:   Chapter 31 Direct and Indirect Reason
  354.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  355.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  356.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  357.    wt: 1:   Chapter 23. Notation For Sums
  358.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  359.    wt: 1:   Chapter 20. Degrees and Radians
  360.    wt: 1:   Chapter 19. Functions and Sets
  361.    wt: 1:   Chapter 18. Rules for Algebra
  362.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  363.    wt: 1:   Chapter 12. Shorthand Usage Guide
  364.    wt: 1:   Chapter 11. Why Shorthand
  365.    wt: 1:   Chapter 10 Describing and Changing Calculations
  366.    wt: 1:   Chapter 8 Three Skills For Algebra
  367.    wt: 1:   Solutions For Arithmetic Exercises
  368.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  369.    wt: 1:   Foreword
  370.    wt: 1:   Postscript B Mathematics Education References
  371.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  372.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  373.    wt: 1:   Foreword
  374.    wt: 1:   Postscript C Consistency as a Tool for Reason
  375.    wt: 1:   Postscript B More on Story Telling and Reason
  376.    wt: 1:   Chapter 24 Direct and Indirect Reason
  377.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  378.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  379.    wt: 1:   Chapter 18 Sense and Knowledge
  380.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  381.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  382.    wt: 1:   Foreword
  383.    wt: 1:   R Why Learn Mathematics Skills
  384.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  385.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  386.    wt: 1:   N Improving Marks on Tests and Finals
  387.    wt: 1:   J. More on written work and showing skill
  388.    wt: 1:   I. Logic and language skills
  389.    wt: 1:   H Jigsaw puzzles and problem solving
  390.    wt: 1:   E. When and how to correct errors
  391.    wt: 1:   How to Build Skills and Confidence
  392.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  393.    wt: 1:   Chapter 8 Skipped Topics and Why
  394.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  395.    wt: 1:   Chapter 6 More Algebra and Geometry
  396.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  397.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  398.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  399.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  400.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  401.    wt: 1:   Mathematics Education References
  402.    wt: 1:   Mathematics Education References
  403.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  404.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  405.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  406.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  407.    wt: 1:   More Algebra and Slope based Calculus Preview
  408.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  409.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

790 matches:

  1.    wt: 7:   12 Goals and Objectives For Mathematics
  2.    wt: 5:   1 Written work formats for developing and showing skill
  3.    wt: 5:   1 More and Less Than for Counts and Measures
  4.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  5.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  6.    wt: 4:   three goals for Mathematics Education
  7.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  8.    wt: 4:   24 Standards For Skill Develoment Take II
  9.    wt: 4:   24 Standards For Skill Develoment
  10.    wt: 4:   22 Student Centered Highschool Mathematics
  11.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  12.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  13.    wt: 4:   17 Math Booklets for children and young teenagers
  14.    wt: 4:   5 Patience Please for Yourself and Your Charges
  15.    wt: 4:   4 Learning Takes Time and Effort
  16.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  17.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  18.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  20.    wt: 4:   2 More and Less Than for Counts and Measures
  21.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  22.    wt: 4:   21 Reciprocals for Fractions and Wholes
  23.    wt: 4:   6. Counting and adding units and mixed units
  24.    wt: 4:   38 Formulas and derivatives for powers and roots
  25.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  26.    wt: 4:   Chapter 2 For and Against Mathematics
  27.    wt: 4:   G. Written work formats for developing and showing skill
  28.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  29.    wt: 4:   7 Games and Activities for Instruction
  30.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  31.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  32.    wt: 3:   three goals to set for students
  33.    wt: 3:   three aims for mathematics students
  34.    wt: 3:   standards for course material
  35.    wt: 3:   formal or informal peer review
  36.    wt: 3:   Education in mathematics science and technology
  37.    wt: 3:   need for a mixed mathematics curriculum
  38.    wt: 3:   Prequel In For A Penny In For A Pound
  39.    wt: 3:   fairness and inductive principles for instruction
  40.    wt: 3:   words for mathematics instructor
  41.    wt: 3:   Home Tutoring and Home Schooling
  42.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  43.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  44.    wt: 3:   18 Primary School Mathematics
  45.    wt: 3:   16 Secondary Mathematics Tips
  46.    wt: 3:   15 Counting For Parents
  47.    wt: 3:   14 Multiplication and Times Tables
  48.    wt: 3:   13 Addition and Addition Tables
  49.    wt: 3:   11 Help and Defend Your Child or Teens Education
  50.    wt: 3:   10 Ends values for work study instruction
  51.    wt: 3:   3 Preparing for Science Studies
  52.    wt: 3:   2 Reading and Writing Skills
  53.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  54.    wt: 3:   26 Formulas for products of sines and cosines
  55.    wt: 3:   17E Trig Formulas for dot and cross Products
  56.    wt: 3:   17D cis formulas for sine cosines and tangent
  57.    wt: 3:   13 Trig Formulas for dot and cross Products
  58.    wt: 3:   12 cis formulas for sine cosines and tangent
  59.    wt: 3:   4 Equations for lines three forms
  60.    wt: 3:   4 Rates Ratios and Proporitionality
  61.    wt: 3:   6 Compound Interest Forward and Backwards
  62.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  63.    wt: 3:   3 Geometric Formulas and Function Notation
  64.    wt: 3:   1 Formulas Dependence and Function Notation
  65.    wt: 3:   13 Naming Identifying Formulas with Words
  66.    wt: 3:   8 Compound Interest Formula Evaluation
  67.    wt: 3:   7 Compound Interest Formula Introduction
  68.    wt: 3:   5 Box Volume Formula Example
  69.    wt: 3:   4 Circle Area Formula Example
  70.    wt: 3:   3 Triangle Area Formula Example
  71.    wt: 3:   2 Another Rectangle Area Formula Example
  72.    wt: 3:   2 More and Less Than with Unlike Signs
  73.    wt: 3:   1 Squares and Square Roots Introduction
  74.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  75.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  76.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  77.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  78.    wt: 3:   7 GCD and LCM from prime factorization
  79.    wt: 3:   4 LCM of 8 and 10 via Prime
  80.    wt: 3:   3 Counting with Tables and Trees II
  81.    wt: 3:   2 Counting with Tables and Trees I
  82.    wt: 3:   1 Counting and Counting Methods I
  83.    wt: 3:   3 signed coordinates for maps and planes
  84.    wt: 3:   3 Multiplying Units and Numbers
  85.    wt: 3:   2 Equality and Units
  86.    wt: 3:   1 Addition and Subtraction with Units
  87.    wt: 3:   B Fractions and Two Term Ratios
  88.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  89.    wt: 3:   17 Efficient Ways to Add and Subtract
  90.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  91.    wt: 3:   14 Adding and Subtracting with Like Denominators
  92.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  93.    wt: 3:   9 Improper Fractions and Mixed Numbers
  94.    wt: 3:   11 Adding Integers Formulas and Examples
  95.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  96.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  97.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  98.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  99.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  100.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  101.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  102.    wt: 3:   Long Division forwards and backwards Example 3
  103.    wt: 3:   Long Division forwards and backwards Example 2
  104.    wt: 3:   Long Division forwards and backwards Example 1
  105.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  106.    wt: 3:   5 A Tip for Efficent Subtraction
  107.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  108.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  109.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  110.    wt: 3:   8 What skills and work habits to require
  111.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  112.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  113.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  114.    wt: 3:   Postscript For Better Performance
  115.    wt: 3:   Appendix E. How To Study Mathematics and Why
  116.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  117.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  118.    wt: 3:   O On Learning Mathematics and Science
  119.    wt: 3:   N Mathematics Prepare for College Studies
  120.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  121.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  122.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  123.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  124.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  125.    wt: 3:   Helping the Blind in Logic and Mathematics
  126.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  127.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  128.    wt: 2:   Appendix 1 primary and preschool mathematic
  129.    wt: 2:   E LAMP Introduction Modern Mathematics
  130.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  131.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  132.    wt: 2:   A Introduction Objectives
  133.    wt: 2:   11 pure mathematics
  134.    wt: 2:   7 logic review and decimals an odd combination
  135.    wt: 2:   5 logarithms and exponentials etc
  136.    wt: 2:   Teach the teachers plus goals
  137.    wt: 2:   permissions for teachers
  138.    wt: 2:   activities for students
  139.    wt: 2:   key notes and themes
  140.    wt: 2:   Mathematics Education Professors
  141.    wt: 2:   what should be learnt and When
  142.    wt: 2:   mathematics in context
  143.    wt: 2:   Education Reform Inconsistencies
  144.    wt: 2:   Secondary Three Mathematics
  145.    wt: 2:   Secondary Two Mathematics
  146.    wt: 2:   Secondary One Mathematics
  147.    wt: 2:   mathematics curriculum shifts
  148.    wt: 2:   geometric implications for algebra
  149.    wt: 2:   04 29 New Mathematics Curriculum
  150.    wt: 2:   02 21 words for teachers
  151.    wt: 2:   02 20 mathematics education references
  152.    wt: 2:   mathematics instruction in general
  153.    wt: 2:   three kinds of reason in mathematics
  154.    wt: 2:   Four ways to improve education reform
  155.    wt: 2:   Motivation and Context Problem
  156.    wt: 2:   Leaner mathematics curriculum
  157.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  158.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  159.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  160.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  161.    wt: 2:   9 Streaming by Student Cooperation
  162.    wt: 2:   8 The Effect of Negative Remarks
  163.    wt: 2:   7 Student Motivation
  164.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  165.    wt: 2:   1 Speaking Skills
  166.    wt: 2:   6 Set Existence Formation and Notation
  167.    wt: 2:   5 Function notation for geometric transformations
  168.    wt: 2:   4 Function notation in and beyond mathematics
  169.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  170.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  171.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  172.    wt: 2:   9 Summary Degrees to Radians and back
  173.    wt: 2:   1 Degrees and Radians Introduction
  174.    wt: 2:   Parallel Lines and Parallel Transversals
  175.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  176.    wt: 2:   Parallel Lines and Interior Angles
  177.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  178.    wt: 2:   8 Straight Lines Equation for vertical
  179.    wt: 2:   29 secant cosecant and cotangent for acute angles
  180.    wt: 2:   21 sine and cosine Half Angle Formulas
  181.    wt: 2:   20 sine and cosine Double Angle Formulas
  182.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  183.    wt: 2:   17C sine and cosine double triple angle formulas
  184.    wt: 2:   14 cosine even and sine and tangent are odd
  185.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  186.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  187.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  188.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  189.    wt: 2:   11 sine and cosine double triple angle formulas
  190.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  191.    wt: 2:   10 Midpoint of [a b] and [b a]
  192.    wt: 2:   8 Mid Point Formula
  193.    wt: 2:   7 Exercises to test skill and concept mastery
  194.    wt: 2:   3 Slope product for perpendicular lines
  195.    wt: 2:   2 point slope equation for a line
  196.    wt: 2:   1 Numerical view of lines and their equations
  197.    wt: 2:   What is and is not here
  198.    wt: 2:   13 Pythagorean spatial distance formulas
  199.    wt: 2:   10 Pythagorean plane distance formula
  200.    wt: 2:   6 Polar Multiplication and Rotation
  201.    wt: 2:   5 Cartesian Addition and Translation
  202.    wt: 2:   4 Polar Coordinates to and from
  203.    wt: 2:   3 Lengths and Areas on Maps and Plans
  204.    wt: 2:   B Decimal Comparison and Subtraction
  205.    wt: 2:   6 Column Methods for Decimal Multiplication
  206.    wt: 2:   5 Distributive Law for Whole Numbers
  207.    wt: 2:   4 Commutative Law Groups Counting Form
  208.    wt: 2:   2 Combing Counts Addition Skills and Principles
  209.    wt: 2:   5 Proportionality in Equivalent Fractions
  210.    wt: 2:   3 Proportionality Examples
  211.    wt: 2:   2 Algebraic View
  212.    wt: 2:   1 What is Proportionality
  213.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  214.    wt: 2:   5 Triangle Area Formula Backwards
  215.    wt: 2:   6 Equations and Systems Equivalent or Implied
  216.    wt: 2:   4 Subtraction and Division Axioms
  217.    wt: 2:   3 Product Axioms Two Forms
  218.    wt: 2:   2 Addition and Multiplication Axioms
  219.    wt: 2:   3 More and Less Than with Unlike Signs
  220.    wt: 2:   8 Coordinates for Maps and Planes
  221.    wt: 2:   Formula Usage Show Work Format
  222.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  223.    wt: 2:   11 Volume of Sphere
  224.    wt: 2:   10 Volume of Pyramid
  225.    wt: 2:   9 Volume of Cone
  226.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  227.    wt: 2:   arithmetic videos Real Player Format
  228.    wt: 2:   4 Greater More Less Than Signs in General
  229.    wt: 2:   3 Comparison of Negative Numbers
  230.    wt: 2:   5 Square Roots with primes more still
  231.    wt: 2:   4 Square Roots with primes more
  232.    wt: 2:   3 Properties of Square Roots with example
  233.    wt: 2:   2 Square Roots with Prime
  234.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  235.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  236.    wt: 2:   13 GCD from given Prime Factorization
  237.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  238.    wt: 2:   8 GCD from Euclidean Algorithm
  239.    wt: 2:   6 GCD from Prime
  240.    wt: 2:   5 Common Divisors 60 45 via Prime
  241.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  242.    wt: 2:   2 Least Common Multiple LCM intro via list method
  243.    wt: 2:   1 Least Common Multiples LCM Introduction
  244.    wt: 2:   12 GCD 2700 288 via Prime
  245.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  246.    wt: 2:   4 Counting with Trees Product Rule Take I
  247.    wt: 2:   11 What are real lengths and numbers
  248.    wt: 2:   7 negative and additive inverse
  249.    wt: 2:   5 lengths and signs of numbers
  250.    wt: 2:   4 signed coordinates for regions in space
  251.    wt: 2:   2 signed and unsigned numbers as coordinates
  252.    wt: 2:   7 Converting or Changing Units
  253.    wt: 2:   6 Simplification of Fractions with Units
  254.    wt: 2:   4 Fractions with Units
  255.    wt: 2:   D Three Term Ratios
  256.    wt: 2:   22 Complex Compound Fractions
  257.    wt: 2:   21 Working With Signs
  258.    wt: 2:   20 Dividing Fractions the Why
  259.    wt: 2:   19 Dividing Fractions How TO
  260.    wt: 2:   18 Efficient Ways to Multiply
  261.    wt: 2:   16 Addition Subtraction Comparision Compared
  262.    wt: 2:   13 Fraction Comparison Algebraic View
  263.    wt: 2:   12 Fraction Comparison
  264.    wt: 2:   11 Simplification an Algebraic View
  265.    wt: 2:   8 Numerals Fractionals Quantals Take II
  266.    wt: 2:   7 Numerals Fractionals Quantals
  267.    wt: 2:   6 Multiplication of Mixed Numbers
  268.    wt: 2:   6 Multiplication Algebraically Take II
  269.    wt: 2:   5 Equivalent Fractions
  270.    wt: 2:   4 Fraction Multiplication
  271.    wt: 2:   3 Unit fraction of a fraction
  272.    wt: 2:   2 Unit Fraction Multiplication
  273.    wt: 2:   1 What is a fraction Take II
  274.    wt: 2:   1 What is a fraction
  275.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  276.    wt: 2:   10 Integer Multiplication Formulas
  277.    wt: 2:   5 Zero Movement and Additive Inverses
  278.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  279.    wt: 2:   26 Divisibility by 2 3 5 Example
  280.    wt: 2:   23 Remainder Arithmetic Modulo 2
  281.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  282.    wt: 2:   21 Remainder Arithmetic Modulo 3
  283.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  284.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  285.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  286.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  287.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  288.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  289.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  290.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  291.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  292.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  293.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  294.    wt: 2:   5 Remainder Arithmetic Modulo 5
  295.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  296.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  297.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  298.    wt: 2:   1 Remainder Arithmetic Modulo 10
  299.    wt: 2:   17 Identify and Count Factors using Primes
  300.    wt: 2:   12 LCD GCD and LCM using Primes
  301.    wt: 2:   7 Calculator Usage Notes and Cautions
  302.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  303.    wt: 2:   5 Prime Factorization and a Square Rule
  304.    wt: 2:   3 video Primes and Composites from 9 times table
  305.    wt: 2:   2 Prime and Composites less than 16
  306.    wt: 2:   Division with Counts and Length
  307.    wt: 2:   10 Division by Five Long and Short Ways
  308.    wt: 2:   A Elementary Basis for Multiplication Methods
  309.    wt: 2:   4 Two and Three Digit Multipliers
  310.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  311.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  312.    wt: 2:   Subtraction with J Conversions Example
  313.    wt: 2:   Subtraction Another Video Lesson
  314.    wt: 2:   9 22 Minute Subtraction Review Video
  315.    wt: 2:   8 Subtraction with Units of Measure
  316.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  317.    wt: 2:   2 Subtraction Easy Case Examples
  318.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  319.    wt: 2:   7 Adding decimal fractions using decimal point
  320.    wt: 2:   5. How to add decimals C. Examples
  321.    wt: 2:   4. How to add with decimals B with conversions
  322.    wt: 2:   3. How to add with decimals A sans conversions
  323.    wt: 2:   2 Decimal Counting Practices
  324.    wt: 2:   1. Explaining Addition Table
  325.    wt: 2:   11 Place Value SI Standard International way
  326.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  327.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  328.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  329.    wt: 2:   Quick history of numbers and algebra
  330.    wt: 2:   Exact Arithmetic Wholes and Fractions
  331.    wt: 2:   Formula Evaluation how to show work
  332.    wt: 2:   Example 1. Area Between x and x squared
  333.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  334.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  335.    wt: 2:   9 Limits Continuity and Composition
  336.    wt: 2:   5 Jumps and absence of unlimited error control
  337.    wt: 2:   3 Decimal insights for limits continuity convergence
  338.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  339.    wt: 2:   PostScript For and Against Decimal Perspectives
  340.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  341.    wt: 2:   Postscript More on Better Performance
  342.    wt: 2:   Appendix D. What to do in School and Why
  343.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  344.    wt: 2:   Chapter 31 Direct and Indirect Reason
  345.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  346.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  347.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  348.    wt: 2:   Chapter 23. Notation For Sums
  349.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  350.    wt: 2:   Chapter 20. Degrees and Radians
  351.    wt: 2:   Chapter 19. Functions and Sets
  352.    wt: 2:   Chapter 18. Rules for Algebra
  353.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  354.    wt: 2:   Chapter 12. Shorthand Usage Guide
  355.    wt: 2:   Chapter 11. Why Shorthand
  356.    wt: 2:   Chapter 10 Describing and Changing Calculations
  357.    wt: 2:   Chapter 8 Three Skills For Algebra
  358.    wt: 2:   Solutions For Arithmetic Exercises
  359.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  360.    wt: 2:   Foreword
  361.    wt: 2:   Postscript B Mathematics Education References
  362.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  363.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  364.    wt: 2:   Foreword
  365.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  366.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  367.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  368.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  369.    wt: 2:   R Why Learn Mathematics Skills
  370.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  371.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  372.    wt: 2:   N Improving Marks on Tests and Finals
  373.    wt: 2:   J. More on written work and showing skill
  374.    wt: 2:   I. Logic and language skills
  375.    wt: 2:   H Jigsaw puzzles and problem solving
  376.    wt: 2:   E. When and how to correct errors
  377.    wt: 2:   How to Build Skills and Confidence
  378.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  379.    wt: 2:   Chapter 8 Skipped Topics and Why
  380.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  381.    wt: 2:   Chapter 6 More Algebra and Geometry
  382.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  383.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  384.    wt: 2:   Mathematics Education References
  385.    wt: 2:   Mathematics Education References
  386.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  387.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  388.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  389.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  390.    wt: 2:   More Algebra and Slope based Calculus Preview
  391.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  392.    wt: 2:   The Math Forum and Site Content
  393.    wt: 1:   Appendix 2 primary school Arithmetic 01
  394.    wt: 1:   K LAMP Musings Science Education
  395.    wt: 1:   J LAMP Introduction Extrinsic Origins
  396.    wt: 1:   I LAMP Introduction Study Habits
  397.    wt: 1:   H LAMP Introduction Instructional Concepts
  398.    wt: 1:   G LAMP Introduction Problem Solving Skills
  399.    wt: 1:   F LAMP Introduction Prerequisites
  400.    wt: 1:   Skills Chapter 5 Calculus
  401.    wt: 1:   Skills Chapter 4 Logic
  402.    wt: 1:   Ramblings Extrinsic numbers theory
  403.    wt: 1:   Ramblings Introduction Algebra Essay
  404.    wt: 1:   Skills Chapter 3 Algebra
  405.    wt: 1:   Skills Chapter 2 Geometry
  406.    wt: 1:   Skills Chapter 1 Arithmetic
  407.    wt: 1:   Skills Chapter 0 Introduction
  408.    wt: 1:   10 statistics
  409.    wt: 1:   9 combinatorics probability sets
  410.    wt: 1:   8 analytic geometry etc
  411.    wt: 1:   6 polynomials etc
  412.    wt: 1:   4 algebra
  413.    wt: 1:   3 Euclidean Geometry Leanly
  414.    wt: 1:   2 arithmetic with signed numbers
  415.    wt: 1:   1 arithmetic with unsigned numbers
  416.    wt: 1:   What is POMME
  417.    wt: 1:   why bother
  418.    wt: 1:   which way to go
  419.    wt: 1:   website reviews
  420.    wt: 1:   Math Ed if it must be short make it lean effective
  421.    wt: 1:   Applied Maths Program14092009 POMME variant
  422.    wt: 1:   links Education Resources online
  423.    wt: 1:   site origins
  424.    wt: 1:   site eurekas
  425.    wt: 1:   About site lesson plans
  426.    wt: 1:   teacher certification
  427.    wt: 1:   modern education
  428.    wt: 1:   learning takes time
  429.    wt: 1:   grouping students according to ability
  430.    wt: 1:   Postscript 2007 01 10
  431.    wt: 1:   five decades make a difference
  432.    wt: 1:   Maps Plans Drawings
  433.    wt: 1:   how letters appear
  434.    wt: 1:   talk the algebra talk
  435.    wt: 1:   three difficulties
  436.    wt: 1:   teaching tips
  437.    wt: 1:   What to Tell Students
  438.    wt: 1:   teaching tutoring algebraic reason
  439.    wt: 1:   Lessening Algebra Difficulties
  440.    wt: 1:   the trouble with algebra
  441.    wt: 1:   05 13 OldSiteEntrancePage
  442.    wt: 1:   04 25 when to stop or suspend mathemat
  443.    wt: 1:   Operational Viewpoint to Value
  444.    wt: 1:   Theory of Knowledge
  445.    wt: 1:   Different Kinds of Reasoning in maths
  446.    wt: 1:   cultivating intelligence
  447.    wt: 1:   How to be a better instructor
  448.    wt: 1:   education an empirical art
  449.    wt: 1:   C Electromotive force conventional current02
  450.    wt: 1:   B Electromotive force conventional current01
  451.    wt: 1:   Ages 12 to 14 Skills with take home value
  452.    wt: 1:   Ages 12 to 14 Geometry
  453.    wt: 1:   Ages 12 to 14 Arithmetic
  454.    wt: 1:   Ages 10 to 12 Geometry
  455.    wt: 1:   Ages 10 to 12 Arithmetic
  456.    wt: 1:   Ages 9 to 10
  457.    wt: 1:   Ages 8 to 9
  458.    wt: 1:   Ages 7 to 8
  459.    wt: 1:   Ages 6 to 7
  460.    wt: 1:   Ages 4 plus to 5 plus
  461.    wt: 1:   Ages 3 plus to 4 plus
  462.    wt: 1:   26 Function definitions done and coming
  463.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  464.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  465.    wt: 1:   19 Horizontal line rule and method
  466.    wt: 1:   18 Vertical Line Rule and Method
  467.    wt: 1:   17 Function maxima minima and their location
  468.    wt: 1:   11 Function Domain Range Source and Targets
  469.    wt: 1:   8 Set view of relations and functions
  470.    wt: 1:   3 Formula or function graphing exercise
  471.    wt: 1:   9 quadratics physical and further context
  472.    wt: 1:   8 quadratics backward use of various formulas
  473.    wt: 1:   7 quadratic formulla derivation
  474.    wt: 1:   11 Growth and Decay in Biology
  475.    wt: 1:   10 Exponential Growth and Decay Models
  476.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  477.    wt: 1:   8 Notes for instructors or tutors
  478.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  479.    wt: 1:   16 cotangent function Definition Graph and Inverse
  480.    wt: 1:   15 cosecant function Definition Graph and Inverse
  481.    wt: 1:   14 secant function Definition Graph and Inverse
  482.    wt: 1:   13 cosecant function Definition Graph and Inverse
  483.    wt: 1:   12 motivation for term arctan
  484.    wt: 1:   9 motivation for name arcsin
  485.    wt: 1:   4 possible motivation for term arccos
  486.    wt: 1:   8 Radian Measures of Common Angles
  487.    wt: 1:   7 Radian Measures in special Triangles
  488.    wt: 1:   6 Radian Measure to Degrees
  489.    wt: 1:   5 Degrees to Radian Measure
  490.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  491.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  492.    wt: 1:   2 Radian Measure Numerical Value of one degree
  493.    wt: 1:   A Global Time and Navigation
  494.    wt: 1:   15 Dot and Cross Product
  495.    wt: 1:   12 From Applied To Pure Mathematics
  496.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  497.    wt: 1:   Vector and Complex Number Applet
  498.    wt: 1:   4 graphing y=Asin(x c)
  499.    wt: 1:   3 graphing y=f(x c) plus K
  500.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  501.    wt: 1:   1 graphing y=f(x a)
  502.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  503.    wt: 1:   Triangle Angles Sum To 180 Degrees
  504.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  505.    wt: 1:   Straight Lines ASA Intersection Study More
  506.    wt: 1:   Straight Lines ASA Intersection Study
  507.    wt: 1:   Straight Lines Instersection Solving Equations
  508.    wt: 1:   Straight Lines Intersection of
  509.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  510.    wt: 1:   C Straight Lines Slope from Coordinates
  511.    wt: 1:   B Straight Line Slope Scaling Properties More
  512.    wt: 1:   A Straight Line Slope Scaling Properties
  513.    wt: 1:   14 Straight Lines Equations General Case
  514.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  515.    wt: 1:   12 Straight Lines Graphing mx plus b
  516.    wt: 1:   11 Straight Lines Graphing y=mx
  517.    wt: 1:   10 Straight Lines through Origin Equations More
  518.    wt: 1:   9 Straight Lines through Origin Equations
  519.    wt: 1:   7 Tangent Function is odd on this domain
  520.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  521.    wt: 1:   5 Tangent Function Graph
  522.    wt: 1:   4 Tangent Function Properties
  523.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  524.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  525.    wt: 1:   1 Straight Lines Slope Concept
  526.    wt: 1:   17 tangent function angle sum formulas
  527.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  528.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  529.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  530.    wt: 1:   27 Logarithmic use of products of sines and cosines
  531.    wt: 1:   25 tangent double angle formula Slope connection
  532.    wt: 1:   24 tangent Angle Difference Formula
  533.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  534.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  535.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  536.    wt: 1:   12 Graph of tangent function for one period
  537.    wt: 1:   10 Graphs of sines and cosines many periods
  538.    wt: 1:   9 Graphs of sine and cosine over one period
  539.    wt: 1:   7 period of sine and cosine
  540.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  541.    wt: 1:   21 Logarithms Powers and Exponentials
  542.    wt: 1:   16 References and Originality Question
  543.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  544.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  545.    wt: 1:   3 Trigonometric Ratios sine and cosine
  546.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  547.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  548.    wt: 1:   8 Similarity of Triangles and Polygons
  549.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  550.    wt: 1:   Four Simple Exercises
  551.    wt: 1:   12 Links Lessons elsewhere
  552.    wt: 1:   11 A Partial Summary
  553.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  554.    wt: 1:   6 Intersection of lines by solving linear systems
  555.    wt: 1:   5 Algebraic View of Slopes
  556.    wt: 1:   12 Spatial Coordinates
  557.    wt: 1:   11 Triangle Inequality
  558.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  559.    wt: 1:   8 Distance Between Points on a Line
  560.    wt: 1:   7 Complex Numbers Appetizer
  561.    wt: 1:   3 Rectangular Coordinates Review
  562.    wt: 1:   2 Cartesian Coordinates with signs
  563.    wt: 1:   1 Cartesian Coordinates sans signs
  564.    wt: 1:   PS H Distributive Law For Complex Numbers
  565.    wt: 1:   16 Angles Subtended By Chords and Diameters
  566.    wt: 1:   6 Ruler and compass Angle Bisection
  567.    wt: 1:   1 Initial Concepts and Terms
  568.    wt: 1:   A Modular and Remainder Arithmetic
  569.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  570.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  571.    wt: 1:   13 Arrows and Vectors in a Plane
  572.    wt: 1:   11 Signed Number Addition and Addition Properties
  573.    wt: 1:   8 Division and Mulplication of Compound Fractions
  574.    wt: 1:   E Long Division Methods more
  575.    wt: 1:   D Long Division Methods
  576.    wt: 1:   C Three Decimal Subtraction Methods
  577.    wt: 1:   A Decimal Addition Columm Methods
  578.    wt: 1:   8 Column Multiplication Methods in General
  579.    wt: 1:   7 Decimals Multiplication Methods Examples
  580.    wt: 1:   3 Multiplicative Counting Skills Principles
  581.    wt: 1:   1 The Counting Origins of Numbers
  582.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  583.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  584.    wt: 1:   3 Linear Equation Literal Solution More
  585.    wt: 1:   2 Linear Equation Literal Solution
  586.    wt: 1:   1 Changing Calculations
  587.    wt: 1:   5 Equality in Algebra
  588.    wt: 1:   1 Equivalent Computation Rules
  589.    wt: 1:   5 Greater More Less Than Signs in General
  590.    wt: 1:   4 Comparison of Negative Numbers
  591.    wt: 1:   1 Real Numbers Comparison
  592.    wt: 1:   10 Real Number Lengths and Signs
  593.    wt: 1:   9 Coordinates for Regions in Space
  594.    wt: 1:   1 Whole and Natural Numbers
  595.    wt: 1:   5 Independent versus Dependent Variables
  596.    wt: 1:   4 Changing Letters
  597.    wt: 1:   2 Computation Rules Evaluation
  598.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  599.    wt: 1:   3 GE III Equation Addition and Multiplication
  600.    wt: 1:   6 Algebraic Solution Example
  601.    wt: 1:   5 Algebraic Solutions Introduction
  602.    wt: 1:   4 Four Examples Fractional Coefficients
  603.    wt: 1:   3 Four Examples
  604.    wt: 1:   2 Three Examples
  605.    wt: 1:   1 Proper Equal Sign Usage
  606.    wt: 1:   Skill Development Notes
  607.    wt: 1:   10 One Example
  608.    wt: 1:   9 Three Examples
  609.    wt: 1:   8 One Example
  610.    wt: 1:   7 Two Examples
  611.    wt: 1:   6 Three Examples
  612.    wt: 1:   5 Three Examples
  613.    wt: 1:   4 Two Examples
  614.    wt: 1:   3 Two Examples
  615.    wt: 1:   2 Three Examples
  616.    wt: 1:   Using Letters for Physical Quantities
  617.    wt: 1:   9 Sets in Probability and Statistics
  618.    wt: 1:   5 Talking about Numbers and Quantities
  619.    wt: 1:   4 A Brief Story of numbers and algebra
  620.    wt: 1:   1 Three Skills For Algebra
  621.    wt: 1:   10 dividing signed numbers
  622.    wt: 1:   9 subtracting signed numbers
  623.    wt: 1:   8 multiplying signed numbers
  624.    wt: 1:   6 adding signed numbers
  625.    wt: 1:   D Remainders Modulo 11 Pair Rule
  626.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  627.    wt: 1:   B Integer Long Division Multiple Choices
  628.    wt: 1:   A Associative Law Theorectical Note
  629.    wt: 1:   13 Subtraction with Additive Inverse
  630.    wt: 1:   12 Adding Integers More Examples
  631.    wt: 1:   9 Multiplying Integers
  632.    wt: 1:   8 Multiplication by Signed Numbers Integers
  633.    wt: 1:   7 Multiplication by Signs
  634.    wt: 1:   6 Multiplication by Natural Numbers
  635.    wt: 1:   4 Adding Movements wiht opposite directions
  636.    wt: 1:   3 Adding Movements with same direction
  637.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  638.    wt: 1:   1 Integers as Coordinates
  639.    wt: 1:   20 Uniqueness of Prime Factorization
  640.    wt: 1:   19 video Prime Factorization Unique
  641.    wt: 1:   18 video Count Factors given Prime Factorization
  642.    wt: 1:   16 video Factors of 980 using prime
  643.    wt: 1:   15 video Factors of 20 using Prime Factorization
  644.    wt: 1:   14 video Factors of 24 Take II
  645.    wt: 1:   13 video Factors of 24 using prime
  646.    wt: 1:   11 Efficient Square Rule Use
  647.    wt: 1:   10 video Prime Factorization upto 23 squared
  648.    wt: 1:   9 video Prime Factorization upto 19 squared
  649.    wt: 1:   8 video Prime Factorization upto 19
  650.    wt: 1:   4 video Prime Factorization Introduction
  651.    wt: 1:   1 video how Products are bigger than factor
  652.    wt: 1:   Long Division Backwards more
  653.    wt: 1:   Long Division Backward
  654.    wt: 1:   12 Why Long Division Works Take III
  655.    wt: 1:   11 Another Single Digit Divisor Example
  656.    wt: 1:   9 Why Long Division Works Take II
  657.    wt: 1:   8 Correcting the Mistake
  658.    wt: 1:   7 Long Divison Mistake Catching
  659.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  660.    wt: 1:   5 Long Division Include Zeroes or not
  661.    wt: 1:   4 Division with 2 Digit Divsors
  662.    wt: 1:   3 Division Single Digit Divisor Example
  663.    wt: 1:   2 Division with Single Digit Divisors
  664.    wt: 1:   1 Divsion Physical Examples
  665.    wt: 1:   D Decimal Multiplication Methods Derived
  666.    wt: 1:   C Counting Areas with Powers of Ten
  667.    wt: 1:   B Powers of Ten
  668.    wt: 1:   6 Multiplication Commutes Order Not Important
  669.    wt: 1:   5 Decimal Fraction Multiplication
  670.    wt: 1:   3 More One Digit Multipliers
  671.    wt: 1:   2 One Digit Multipliers
  672.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  673.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  674.    wt: 1:   Video Power Notation in Decimal Expansion
  675.    wt: 1:   1 Why 3 times 5 gives 15
  676.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  677.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  678.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  679.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  680.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  681.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  682.    wt: 1:   Expression Evaluation how to show work
  683.    wt: 1:   The 20 Times Table
  684.    wt: 1:   The 12 Times Table Visually
  685.    wt: 1:   About folder contents
  686.    wt: 1:   015 School and work day counting tables
  687.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  688.    wt: 1:   4 Mixing and Changing Units of Time
  689.    wt: 1:   3 Units and Lengths of Time
  690.    wt: 1:   2 Time and Date Matters in School
  691.    wt: 1:   Example 2 volume of a cone
  692.    wt: 1:   Example 1 volume of a pyramid
  693.    wt: 1:   Volume of Solid by Cross Sections Lesson
  694.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  695.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  696.    wt: 1:   Example 4 with x function of y
  697.    wt: 1:   Example 3
  698.    wt: 1:   Example 2
  699.    wt: 1:   Example 1
  700.    wt: 1:   Area Between Curves Lesson Take 2
  701.    wt: 1:   Area Between Curves Lesson Take 1
  702.    wt: 1:   Summary
  703.    wt: 1:   28 Chain Rule Preparation for a Proof
  704.    wt: 1:   22 Chain Rule for polynomials
  705.    wt: 1:   21 Chain Rule for powers
  706.    wt: 1:   20 Chain Rule for Pulley Systems
  707.    wt: 1:   19 Chain Rule for linear functions
  708.    wt: 1:   17 Derivatives of quotients of sine and cosine
  709.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  710.    wt: 1:   15 sine and cosine derivatives 3rd step
  711.    wt: 1:   14 sine and cosine derivatives 2nd step
  712.    wt: 1:   13 sine and cosine derivatives 1st step
  713.    wt: 1:   10 Power rule for negative integers
  714.    wt: 1:   3 Motivation for Limit Definition Take 2
  715.    wt: 1:   2 Motivation for Limit Definition Take 1
  716.    wt: 1:   11 Limits at infinity Three Examples
  717.    wt: 1:   10 Three one sided limits with infinite values
  718.    wt: 1:   8 Four Animated Examples
  719.    wt: 1:   7 Evaluation by immediate or delayed substitution
  720.    wt: 1:   6 Continuity at a point
  721.    wt: 1:   4 Numerical properties
  722.    wt: 1:   2 Algebraic codification
  723.    wt: 1:   1 Numerical introduction
  724.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  725.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  726.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  727.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  728.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  729.    wt: 1:   Chapter 12. Units and Slopes
  730.    wt: 1:   Chapter 10 Slopes and Units
  731.    wt: 1:   Chapter 7 Slopes and Velocity
  732.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  733.    wt: 1:   Chapter 2. Slopes and Ski Trails
  734.    wt: 1:   Foreword
  735.    wt: 1:   Appendix C. How to Read
  736.    wt: 1:   Appendix B. How To Learn
  737.    wt: 1:   Chapter 30 Truth Tables
  738.    wt: 1:   Chapter 28 Occurrence Tables
  739.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  740.    wt: 1:   Chapter 25. Mathematical Induction Examples
  741.    wt: 1:   Chapter 21. Third Reading Guide
  742.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  743.    wt: 1:   Chapter 16. Painless Theorem Proving
  744.    wt: 1:   Chapter 15. Solving Linear Equations
  745.    wt: 1:   Chapter 13. Second Reading Guide
  746.    wt: 1:   Postscript What is a Variable
  747.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  748.    wt: 1:   Chapter 6 Change of Language
  749.    wt: 1:   Chapter 4 Longer Chains of Reason
  750.    wt: 1:   Chapter 3 Chains of Reason
  751.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  752.    wt: 1:   Annotated Links to Material Elsehwere
  753.    wt: 1:   Postscript A Three Remarks
  754.    wt: 1:   Chapter 12 Four Phases
  755.    wt: 1:   Chapter 11 Elementary Instruction
  756.    wt: 1:   Chapter 10 Transition
  757.    wt: 1:   Chapter 9 The Two Ends
  758.    wt: 1:   Chapter 8 Modern Instruction
  759.    wt: 1:   Chapter 7 Two Treatments of Geometry
  760.    wt: 1:   Chapter 5 Four References
  761.    wt: 1:   Chapter 3 Algebra Difficulties
  762.    wt: 1:   Chapter 1 Introduction
  763.    wt: 1:   Postscript C Consistency as a Tool for Reason
  764.    wt: 1:   Postscript B More on Story Telling and Reason
  765.    wt: 1:   Chapter 24 Direct and Indirect Reason
  766.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  767.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  768.    wt: 1:   Chapter 18 Sense and Knowledge
  769.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  770.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  771.    wt: 1:   Foreword
  772.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  773.    wt: 1:   S Adding words to algebra
  774.    wt: 1:   M Words to extend arithmetic
  775.    wt: 1:   L Skills with take home value
  776.    wt: 1:   H more Routine to non routine problem solving
  777.    wt: 1:   F. The student teacher tutor feedback loop
  778.    wt: 1:   D. Check work a must with a caution
  779.    wt: 1:   C. Domino effect of being careful
  780.    wt: 1:   B. Domino effect of errors
  781.    wt: 1:   A. Skill has to be seen to believed
  782.    wt: 1:   Chapter 3 Algebra Starter Lessons
  783.    wt: 1:   Chapter 2 Why Sets
  784.    wt: 1:   Chapter 1 Arithmetic
  785.    wt: 1:   Implementation Notes
  786.    wt: 1:   Systematic Algebra Skill Development Missing Links
  787.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  788.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  789.    wt: 1:   Which Way To Go
  790.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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