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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  1.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 6:   Volume 2 Three Skills For Algebra/
  3.    wt: 5:   2 Formula Forward Use Evaluation/
  4.    wt: 4:   B Real Numbers Extrinsic Development/
  5.    wt: 4:   8 Unifying Theme For Algebra/
  6.    wt: 4:   5 Real Numbers/
  7.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  8.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  9.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  10.    wt: 3:   10 Examples of Algebraic Reasoning/
  11.    wt: 3:   9 Proportionality Backwards and Forwards/
  12.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  13.    wt: 3:   D Decimal Long Division Methods/
  14.    wt: 3:   C Decimal Multiplication Methods/
  15.    wt: 3:   A Decimal Counting and Adding Methods/
  16.    wt: 3:   2 Arithmetic with Decimals/
  17.    wt: 2:   12 Function Translating and Rescaling/
  18.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  19.    wt: 2:   A Origins of Counting and Figuring Methods/
  20.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  21.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  22.    wt: 2:   4 Computation Rules and Function Notation/
  23.    wt: 2:   Step 4 Gaussian Elimination/
  24.    wt: 2:   Step 1 Stick diagram and fractions/
  25.    wt: 2:   3 Solving Linear Equations/
  26.    wt: 2:   1 Working With Sets/
  27.    wt: 2:   Algebra Starter Lessons/
  28.    wt: 2:   8 Arithmetic with Signed Numbers/
  29.    wt: 2:   3 Prime Factorization Skills/
  30.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  31.    wt: 1:   Mathematics Skills Year by Year/
  32.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  33.    wt: 1:   4 Functions/
  34.    wt: 1:   3 Quadratics Geometrically/
  35.    wt: 1:   1 Five Polynomial Operations/
  36.    wt: 1:   More Algebra/
  37.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  38.    wt: 1:   7 Complex Numbers/
  39.    wt: 1:   11 Squares and Square Roots/
  40.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  41.    wt: 1:   9 Combinatorics Trees Tables and Products/
  42.    wt: 1:   7 Arithmetic and Fractions with Units/
  43.    wt: 1:   6 Fractions and Ratios/
  44.    wt: 1:   5 Integers/
  45.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  46.    wt: 1:   1 Decimal Place Value/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   Time Date Matters/
  49.    wt: 1:   Skills with take home value/
  50.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  51.    wt: 1:   38 Lessons on Calculating Derivatives/
  52.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  53.    wt: 1:   Volume 1A Pattern Based Reason/
  54.    wt: 1:   Volume 1 Elements of Reason/
  55.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

466 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 3:   02 21 words for teachers
  5.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  6.    wt: 3:   26 Formulas for products of sines and cosines
  7.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  8.    wt: 3:   12 cis formulas for sine cosines and tangent
  9.    wt: 3:   4 Equations for lines three forms
  10.    wt: 3:   22 Multiplication of Signed Numbers
  11.    wt: 3:   12 Real Numbers Line Signed Coordinates
  12.    wt: 3:   12 GCD 2700 288 via Prime
  13.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  14.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  15.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  16.    wt: 3:   22 Chain Rule for polynomials
  17.    wt: 3:   Chapter 22 Complex Numbers
  18.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  19.    wt: 2:   Skills Chapter 3 Algebra
  20.    wt: 2:   Skills Chapter 2 Geometry
  21.    wt: 2:   2 arithmetic with signed numbers
  22.    wt: 2:   three goals to set for students
  23.    wt: 2:   geometric implications for algebra
  24.    wt: 2:   three goals for Mathematics Education
  25.    wt: 2:   02 20 mathematics education references
  26.    wt: 2:   three aims for mathematics students
  27.    wt: 2:   formal or informal peer review
  28.    wt: 2:   Prequel In For A Penny In For A Pound
  29.    wt: 2:   2 Conductance Resistance Duality02
  30.    wt: 2:   C Electromotive force conventional current02
  31.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  32.    wt: 2:   24 Standards For Skill Develoment Take II
  33.    wt: 2:   24 Standards For Skill Develoment
  34.    wt: 2:   22 Student Centered Highschool Mathematics
  35.    wt: 2:   12 Goals and Objectives For Mathematics
  36.    wt: 2:   2 Reading and Writing Skills
  37.    wt: 2:   Ages 12 to 14 Skills with take home value
  38.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  39.    wt: 2:   22 Square Root function graphically
  40.    wt: 2:   5 Function notation for geometric transformations
  41.    wt: 2:   2 Algebraic use of function notation
  42.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  43.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  44.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  45.    wt: 2:   12 motivation for term arctan
  46.    wt: 2:   29 secant cosecant and cotangent for acute angles
  47.    wt: 2:   25 tangent double angle formula Slope connection
  48.    wt: 2:   24 tangent Angle Difference Formula
  49.    wt: 2:   21 sine and cosine Half Angle Formulas
  50.    wt: 2:   20 sine and cosine Double Angle Formulas
  51.    wt: 2:   17E Trig Formulas for dot and cross Products
  52.    wt: 2:   17D cis formulas for sine cosines and tangent
  53.    wt: 2:   12 Graph of tangent function for one period
  54.    wt: 2:   20 N th Roots of Complex Numbers
  55.    wt: 2:   13 Trig Formulas for dot and cross Products
  56.    wt: 2:   2 Complex Numbers made easier we hope
  57.    wt: 2:   2 point slope equation for a line
  58.    wt: 2:   PS H Distributive Law For Complex Numbers
  59.    wt: 2:   musings do not puiblish real numbers
  60.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  61.    wt: 2:   5 Distributive Law for Whole Numbers
  62.    wt: 2:   2 Combing Counts Addition Skills and Principles
  63.    wt: 2:   2 Algebraic View
  64.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  65.    wt: 2:   2 More and Less Than for Counts and Measures
  66.    wt: 2:   1 Real Numbers Comparison
  67.    wt: 2:   16 Real Numbers Comparison
  68.    wt: 2:   12 Real Number Additive Inverses or Negatives
  69.    wt: 2:   7 Real Numbers as Line Cordinates
  70.    wt: 2:   6 Unsigned Real Numbers
  71.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  72.    wt: 2:   2 Essentially one exercises three with solution
  73.    wt: 2:   2 Three Examples
  74.    wt: 2:   2 Three Examples
  75.    wt: 2:   Formula Usage Show Work Format
  76.    wt: 2:   2 Another Rectangle Area Formula Example
  77.    wt: 2:   1 Written work formats for developing and showing skill
  78.    wt: 2:   4 A Brief Story of numbers and algebra
  79.    wt: 2:   arithmetic videos Real Player Format
  80.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  81.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  82.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  83.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  84.    wt: 2:   11 What are real lengths and numbers
  85.    wt: 2:   2 signed and unsigned numbers as coordinates
  86.    wt: 2:   22 Complex Compound Fractions
  87.    wt: 2:   21 Reciprocals for Fractions and Wholes
  88.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  89.    wt: 2:   26 Divisibility by 2 3 5 Example
  90.    wt: 2:   23 Remainder Arithmetic Modulo 2
  91.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  92.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  93.    wt: 2:   Long Division forwards and backwards Example 2
  94.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  95.    wt: 2:   9 22 Minute Subtraction Review Video
  96.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  97.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  98.    wt: 2:   Quick history of numbers and algebra
  99.    wt: 2:   38 Formulas and derivatives for powers and roots
  100.    wt: 2:   28 Chain Rule Preparation for a Proof
  101.    wt: 2:   21 Chain Rule for powers
  102.    wt: 2:   20 Chain Rule for Pulley Systems
  103.    wt: 2:   3 Motivation for Limit Definition Take 2
  104.    wt: 2:   2 Motivation for Limit Definition Take 1
  105.    wt: 2:   2 Algebraic codification
  106.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  107.    wt: 2:   E2 Algebraic Properties of Limits
  108.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  109.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  110.    wt: 2:   Postscript For Better Performance
  111.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  112.    wt: 2:   Chapter 23. Notation For Sums
  113.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  114.    wt: 2:   Chapter 18. Rules for Algebra
  115.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  116.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  117.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  118.    wt: 2:   Chapter 2 For and Against Mathematics
  119.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  120.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  121.    wt: 2:   G. Written work formats for developing and showing skill
  122.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  123.    wt: 1:   Appendix 2 primary school Arithmetic 01
  124.    wt: 1:   G LAMP Introduction Problem Solving Skills
  125.    wt: 1:   Skills Chapter 5 Calculus
  126.    wt: 1:   Skills Chapter 4 Logic
  127.    wt: 1:   Ramblings Extrinsic numbers theory
  128.    wt: 1:   Ramblings Introduction Algebra Essay
  129.    wt: 1:   Skills Chapter 1 Arithmetic
  130.    wt: 1:   Skills Chapter 0 Introduction
  131.    wt: 1:   4 algebra
  132.    wt: 1:   1 arithmetic with unsigned numbers
  133.    wt: 1:   permissions for teachers
  134.    wt: 1:   Applied Maths Program14092009 POMME variant
  135.    wt: 1:   activities for students
  136.    wt: 1:   Postscript 2007 01 10
  137.    wt: 1:   Education Reform Inconsistencies
  138.    wt: 1:   Secondary Three Mathematics
  139.    wt: 1:   talk the algebra talk
  140.    wt: 1:   three difficulties
  141.    wt: 1:   teaching tutoring algebraic reason
  142.    wt: 1:   Lessening Algebra Difficulties
  143.    wt: 1:   the trouble with algebra
  144.    wt: 1:   04 29 New Mathematics Curriculum
  145.    wt: 1:   04 25 when to stop or suspend mathemat
  146.    wt: 1:   standards for course material
  147.    wt: 1:   three kinds of reason in mathematics
  148.    wt: 1:   Four ways to improve education reform
  149.    wt: 1:   need for a mixed mathematics curriculum
  150.    wt: 1:   fairness and inductive principles for instruction
  151.    wt: 1:   words for mathematics instructor
  152.    wt: 1:   chapitre 12 00 les iles et division
  153.    wt: 1:   chapitre 04 02 Deuxieme enigme
  154.    wt: 1:   chapitre 02 00 La Communication des idees
  155.    wt: 1:   2 Energy Power Heat07
  156.    wt: 1:   B Energy Power02
  157.    wt: 1:   D Wire Resistance Calculation02
  158.    wt: 1:   B Wire Resistance Qualitative02
  159.    wt: 1:   2 Unlike resistors in parallel01
  160.    wt: 1:   H Series Circuit02
  161.    wt: 1:   B Electromotive force conventional current01
  162.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  163.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  164.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  165.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  166.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  167.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  168.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  169.    wt: 1:   17 Math Booklets for children and young teenagers
  170.    wt: 1:   15 Counting For Parents
  171.    wt: 1:   10 Ends values for work study instruction
  172.    wt: 1:   5 Patience Please for Yourself and Your Charges
  173.    wt: 1:   4 Learning Takes Time and Effort
  174.    wt: 1:   3 Preparing for Science Studies
  175.    wt: 1:   1 Speaking Skills
  176.    wt: 1:   Ages 12 to 14 Geometry
  177.    wt: 1:   Ages 12 to 14 Arithmetic
  178.    wt: 1:   Ages 10 to 12 Geometry
  179.    wt: 1:   Ages 10 to 12 Arithmetic
  180.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  181.    wt: 1:   sign monoticity analysis example 2
  182.    wt: 1:   26 Function definitions done and coming
  183.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  184.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  185.    wt: 1:   23 Inverse Functions
  186.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  187.    wt: 1:   20 Interchanging coordinates a reflection
  188.    wt: 1:   12 Function Domain Recognition Exercises
  189.    wt: 1:   6 Set Existence Formation and Notation
  190.    wt: 1:   3 Formula or function graphing exercise
  191.    wt: 1:   8 quadratics backward use of various formulas
  192.    wt: 1:   7 quadratic formulla derivation
  193.    wt: 1:   2 quadratics graphing in general
  194.    wt: 1:   2 Square Root Simplification a prequel
  195.    wt: 1:   8 Notes for instructors or tutors
  196.    wt: 1:   2 Column Multiplication Method
  197.    wt: 1:   Rewriting algebraic substitution as function substitutions
  198.    wt: 1:   9 motivation for name arcsin
  199.    wt: 1:   4 possible motivation for term arccos
  200.    wt: 1:   2 cosine function more properties
  201.    wt: 1:   2 Radian Measure Numerical Value of one degree
  202.    wt: 1:   12 From Applied To Pure Mathematics
  203.    wt: 1:   2 Signed Coordinates
  204.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  205.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  206.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  207.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  208.    wt: 1:   12 Straight Lines Graphing mx plus b
  209.    wt: 1:   8 Straight Lines Equation for vertical
  210.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  211.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  212.    wt: 1:   17 tangent function angle sum formulas
  213.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  214.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  215.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  216.    wt: 1:   32 seven rows of pascals triangle
  217.    wt: 1:   28 Expressing products of sines cosines as sums
  218.    wt: 1:   27 Logarithmic use of products of sines and cosines
  219.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  220.    wt: 1:   17C sine and cosine double triple angle formulas
  221.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  222.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  223.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  224.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  225.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  226.    wt: 1:   2 Quadrant I reference Angles
  227.    wt: 1:   21 Logarithms Powers and Exponentials
  228.    wt: 1:   11 sine and cosine double triple angle formulas
  229.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  230.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  231.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  232.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  233.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  234.    wt: 1:   12 Triangles Similarity More Problems
  235.    wt: 1:   2 Similarity By Design
  236.    wt: 1:   12 Links Lessons elsewhere
  237.    wt: 1:   8 Mid Point Formula
  238.    wt: 1:   5 Algebraic View of Slopes
  239.    wt: 1:   3 Slope product for perpendicular lines
  240.    wt: 1:   13 Pythagorean spatial distance formulas
  241.    wt: 1:   12 Spatial Coordinates
  242.    wt: 1:   10 Pythagorean plane distance formula
  243.    wt: 1:   7 Complex Numbers Appetizer
  244.    wt: 1:   2 Cartesian Coordinates with signs
  245.    wt: 1:   21 Parallelograms
  246.    wt: 1:   12 Side Angle Side Failure
  247.    wt: 1:   2 Correspondence between Triangles
  248.    wt: 1:   2 Measuring Area Directly
  249.    wt: 1:   26 More Less Greater Than Comparison
  250.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  251.    wt: 1:   23 Distributive Law Two Derivations
  252.    wt: 1:   21 Addition of Multiples of a Single Vector
  253.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  254.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  255.    wt: 1:   2 Counting Digits in Decimal Multiplication
  256.    wt: 1:   C Three Decimal Subtraction Methods
  257.    wt: 1:   6 Column Methods for Decimal Multiplication
  258.    wt: 1:   4 Commutative Law Groups Counting Form
  259.    wt: 1:   3 Multiplicative Counting Skills Principles
  260.    wt: 1:   1 The Counting Origins of Numbers
  261.    wt: 1:   3 Inequalities Algebraically
  262.    wt: 1:   2 Fraction Operations Physical Development
  263.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  264.    wt: 1:   6 Compound Interest Forward and Backwards
  265.    wt: 1:   5 Triangle Area Formula Backwards
  266.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  267.    wt: 1:   2 Linear Equation Literal Solution
  268.    wt: 1:   5 Equality in Algebra
  269.    wt: 1:   3 Product Axioms Two Forms
  270.    wt: 1:   2 Addition and Multiplication Axioms
  271.    wt: 1:   4 Comparison of Negative Numbers
  272.    wt: 1:   15 Real Number Division
  273.    wt: 1:   14 Real Number Multiplication
  274.    wt: 1:   13 Real Number Subtraction
  275.    wt: 1:   11 Real Number Addition
  276.    wt: 1:   10 Real Number Lengths and Signs
  277.    wt: 1:   9 Coordinates for Regions in Space
  278.    wt: 1:   8 Coordinates for Maps and Planes
  279.    wt: 1:   5 Rational Numbers More
  280.    wt: 1:   4 Rational Numbers
  281.    wt: 1:   2 Integers
  282.    wt: 1:   1 Whole and Natural Numbers
  283.    wt: 1:   3 Geometric Formulas and Function Notation
  284.    wt: 1:   2 Computation Rules Evaluation
  285.    wt: 1:   1 Formulas Dependence and Function Notation
  286.    wt: 1:   2 GE II Comparison
  287.    wt: 1:   6 Algebraic Solution Example
  288.    wt: 1:   5 Algebraic Solutions Introduction
  289.    wt: 1:   9 Three Examples
  290.    wt: 1:   6 Three Examples
  291.    wt: 1:   5 Three Examples
  292.    wt: 1:   Using Letters for Physical Quantities
  293.    wt: 1:   13 Naming Identifying Formulas with Words
  294.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  295.    wt: 1:   8 Compound Interest Formula Evaluation
  296.    wt: 1:   7 Compound Interest Formula Introduction
  297.    wt: 1:   5 Box Volume Formula Example
  298.    wt: 1:   4 Circle Area Formula Example
  299.    wt: 1:   3 Triangle Area Formula Example
  300.    wt: 1:   8 Sets of Numbers
  301.    wt: 1:   2 Venn Diagrams
  302.    wt: 1:   6 Three Notions of What is a Variable
  303.    wt: 1:   5 Talking about Numbers and Quantities
  304.    wt: 1:   2 What is a Variable
  305.    wt: 1:   3 Comparison of Negative Numbers
  306.    wt: 1:   2 More and Less Than with Unlike Signs
  307.    wt: 1:   1 More and Less Than for Counts and Measures
  308.    wt: 1:   2 Square Roots with Prime
  309.    wt: 1:   2 Least Common Multiple LCM intro via list method
  310.    wt: 1:   2 Counting with Tables and Trees I
  311.    wt: 1:   10 dividing signed numbers
  312.    wt: 1:   9 subtracting signed numbers
  313.    wt: 1:   8 multiplying signed numbers
  314.    wt: 1:   6 adding signed numbers
  315.    wt: 1:   5 lengths and signs of numbers
  316.    wt: 1:   4 signed coordinates for regions in space
  317.    wt: 1:   3 signed coordinates for maps and planes
  318.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  319.    wt: 1:   3 Multiplying Units and Numbers
  320.    wt: 1:   2 Equality and Units
  321.    wt: 1:   D Three Term Ratios
  322.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  323.    wt: 1:   21 Working With Signs
  324.    wt: 1:   20 Dividing Fractions the Why
  325.    wt: 1:   13 Fraction Comparison Algebraic View
  326.    wt: 1:   12 Fraction Comparison
  327.    wt: 1:   11 Simplification an Algebraic View
  328.    wt: 1:   9 Improper Fractions and Mixed Numbers
  329.    wt: 1:   6 Multiplication of Mixed Numbers
  330.    wt: 1:   6 Multiplication Algebraically Take II
  331.    wt: 1:   2 Unit Fraction Multiplication
  332.    wt: 1:   12 Adding Integers More Examples
  333.    wt: 1:   11 Adding Integers Formulas and Examples
  334.    wt: 1:   10 Integer Multiplication Formulas
  335.    wt: 1:   8 Multiplication by Signed Numbers Integers
  336.    wt: 1:   6 Multiplication by Natural Numbers
  337.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  338.    wt: 1:   21 Remainder Arithmetic Modulo 3
  339.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  340.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  341.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  342.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  343.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  344.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  345.    wt: 1:   20 Uniqueness of Prime Factorization
  346.    wt: 1:   15 video Factors of 20 using Prime Factorization
  347.    wt: 1:   14 video Factors of 24 Take II
  348.    wt: 1:   13 video Factors of 24 using prime
  349.    wt: 1:   12 LCD GCD and LCM using Primes
  350.    wt: 1:   10 video Prime Factorization upto 23 squared
  351.    wt: 1:   2 Prime and Composites less than 16
  352.    wt: 1:   Long Division forwards and backwards Example 3
  353.    wt: 1:   Long Division forwards and backwards Example 1
  354.    wt: 1:   12 Why Long Division Works Take III
  355.    wt: 1:   4 Division with 2 Digit Divsors
  356.    wt: 1:   2 Division with Single Digit Divisors
  357.    wt: 1:   A Elementary Basis for Multiplication Methods
  358.    wt: 1:   4 Two and Three Digit Multipliers
  359.    wt: 1:   2 One Digit Multipliers
  360.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  361.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  362.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  363.    wt: 1:   5 A Tip for Efficent Subtraction
  364.    wt: 1:   2 Subtraction Easy Case Examples
  365.    wt: 1:   8 What skills and work habits to require
  366.    wt: 1:   2 Decimal Counting Practices
  367.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  368.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  369.    wt: 1:   Formula Evaluation how to show work
  370.    wt: 1:   The 20 Times Table
  371.    wt: 1:   The 12 Times Table Visually
  372.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  373.    wt: 1:   012 Division of Time Intervals by Time Intervals
  374.    wt: 1:   011 Division of Time Intervals By Numbers
  375.    wt: 1:   2 Time and Date Matters in School
  376.    wt: 1:   1 Intro of Kids To Time Date Skills
  377.    wt: 1:   Example 2 volume of a cone
  378.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  379.    wt: 1:   Example 2
  380.    wt: 1:   Area Between Curves Lesson Take 2
  381.    wt: 1:   2 Indefinite Integrals Exercises
  382.    wt: 1:   2 Second derivative test prequel
  383.    wt: 1:   A Chain Rule Real Player video examples
  384.    wt: 1:   33 Chain Rule Real Player video examples
  385.    wt: 1:   29 Chain Rule Optional Reading
  386.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  387.    wt: 1:   26 Chain Rule Recognising outer inner functions
  388.    wt: 1:   25 Chain Rule Animated Examples Continued
  389.    wt: 1:   24 Chain Rule Animated Examples
  390.    wt: 1:   23 Chain Rule in general
  391.    wt: 1:   19 Chain Rule for linear functions
  392.    wt: 1:   14 sine and cosine derivatives 2nd step
  393.    wt: 1:   12 Quotient rule examples
  394.    wt: 1:   10 Power rule for negative integers
  395.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  396.    wt: 1:   11 Limits at infinity Three Examples
  397.    wt: 1:   10 Three one sided limits with infinite values
  398.    wt: 1:   3 Decimal insights for limits continuity convergence
  399.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  400.    wt: 1:   F.2 Closed Range Theorem
  401.    wt: 1:   D2 Limits of Monotone Sequences
  402.    wt: 1:   PostScript For and Against Decimal Perspectives
  403.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  404.    wt: 1:   Chapter 23 Links To Trigonometry
  405.    wt: 1:   Chapter 21 Arrow Addition
  406.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  407.    wt: 1:   Chapter 12. Units and Slopes
  408.    wt: 1:   Chapter 2. Slopes and Ski Trails
  409.    wt: 1:   Foreword
  410.    wt: 1:   Postscript More on Better Performance
  411.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  412.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  413.    wt: 1:   Chapter 28 Occurrence Tables
  414.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  415.    wt: 1:   Chapter 25. Mathematical Induction Examples
  416.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  417.    wt: 1:   Chapter 21. Third Reading Guide
  418.    wt: 1:   Chapter 20. Degrees and Radians
  419.    wt: 1:   Chapter 12. Shorthand Usage Guide
  420.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  421.    wt: 1:   Solutions For Arithmetic Exercises
  422.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  423.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  424.    wt: 1:   Foreword
  425.    wt: 1:   Postscript A Three Remarks
  426.    wt: 1:   Chapter 12 Four Phases
  427.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  428.    wt: 1:   Chapter 3 Algebra Difficulties
  429.    wt: 1:   Foreword
  430.    wt: 1:   Postscript C Consistency as a Tool for Reason
  431.    wt: 1:   Chapter 24 Direct and Indirect Reason
  432.    wt: 1:   Chapter 23 Truth Tables
  433.    wt: 1:   Chapter 21 Occurrence Tables
  434.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  435.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  436.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  437.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  438.    wt: 1:   Chapter 2 Skill Development
  439.    wt: 1:   Three Remarks
  440.    wt: 1:   Foreword
  441.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  442.    wt: 1:   S Adding words to algebra
  443.    wt: 1:   R Why Learn Mathematics Skills
  444.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  445.    wt: 1:   N Mathematics Prepare for College Studies
  446.    wt: 1:   L Skills with take home value
  447.    wt: 1:   I. Logic and language skills
  448.    wt: 1:   How to Build Skills and Confidence
  449.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  450.    wt: 1:   Chapter 6 More Algebra and Geometry
  451.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  452.    wt: 1:   Chapter 3 Algebra Starter Lessons
  453.    wt: 1:   Chapter 2 Why Sets
  454.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  455.    wt: 1:   7 Games and Activities for Instruction
  456.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  457.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  458.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  459.    wt: 1:   More Algebra and Slope based Calculus Preview
  460.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  461.    wt: 1:   Systematic Algebra Skill Development Missing Links
  462.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  463.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  464.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  465.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  466.    wt: 1:   The Math Forum and Site Content

Extended Search

907 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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