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

Web Page Search

450 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:   26 Formulas for products of sines and cosines
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   4 Equations for lines three forms
  9.    wt: 3:   2 Combing Counts Addition Skills and Principles
  10.    wt: 3:   12 GCD 2700 288 via Prime
  11.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  12.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  13.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  14.    wt: 3:   22 Chain Rule for polynomials
  15.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  16.    wt: 2:   Skills Chapter 3 Algebra
  17.    wt: 2:   Skills Chapter 2 Geometry
  18.    wt: 2:   three goals to set for students
  19.    wt: 2:   geometric implications for algebra
  20.    wt: 2:   three goals for Mathematics Education
  21.    wt: 2:   02 20 mathematics education references
  22.    wt: 2:   three aims for mathematics students
  23.    wt: 2:   formal or informal peer review
  24.    wt: 2:   Prequel In For A Penny In For A Pound
  25.    wt: 2:   2 Conductance Resistance Duality02
  26.    wt: 2:   C Electromotive force conventional current02
  27.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  28.    wt: 2:   24 Standards For Skill Develoment Take II
  29.    wt: 2:   24 Standards For Skill Develoment
  30.    wt: 2:   22 Student Centered Highschool Mathematics
  31.    wt: 2:   13 Addition and Addition Tables
  32.    wt: 2:   12 Goals and Objectives For Mathematics
  33.    wt: 2:   2 Reading and Writing Skills
  34.    wt: 2:   Ages 12 to 14 Skills with take home value
  35.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  36.    wt: 2:   22 Square Root function graphically
  37.    wt: 2:   5 Function notation for geometric transformations
  38.    wt: 2:   2 Algebraic use of function notation
  39.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  40.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  41.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  42.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  43.    wt: 2:   12 motivation for term arctan
  44.    wt: 2:   29 secant cosecant and cotangent for acute angles
  45.    wt: 2:   25 tangent double angle formula Slope connection
  46.    wt: 2:   24 tangent Angle Difference Formula
  47.    wt: 2:   21 sine and cosine Half Angle Formulas
  48.    wt: 2:   20 sine and cosine Double Angle Formulas
  49.    wt: 2:   17E Trig Formulas for dot and cross Products
  50.    wt: 2:   17D cis formulas for sine cosines and tangent
  51.    wt: 2:   12 Graph of tangent function for one period
  52.    wt: 2:   13 Trig Formulas for dot and cross Products
  53.    wt: 2:   2 point slope equation for a line
  54.    wt: 2:   22 Multiplication of Signed Numbers
  55.    wt: 2:   21 Addition of Multiples of a Single Vector
  56.    wt: 2:   15 Head to Tails in place Addition Associative
  57.    wt: 2:   11 Signed Number Addition and Addition Properties
  58.    wt: 2:   2 Algebraic View
  59.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  60.    wt: 2:   2 Addition and Multiplication Axioms
  61.    wt: 2:   2 More and Less Than for Counts and Measures
  62.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  63.    wt: 2:   2 Essentially one exercises three with solution
  64.    wt: 2:   2 Three Examples
  65.    wt: 2:   2 Three Examples
  66.    wt: 2:   Formula Usage Show Work Format
  67.    wt: 2:   2 Another Rectangle Area Formula Example
  68.    wt: 2:   1 Written work formats for developing and showing skill
  69.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  70.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  71.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  72.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  73.    wt: 2:   22 Complex Compound Fractions
  74.    wt: 2:   21 Reciprocals for Fractions and Wholes
  75.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  76.    wt: 2:   26 Divisibility by 2 3 5 Example
  77.    wt: 2:   23 Remainder Arithmetic Modulo 2
  78.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  79.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  80.    wt: 2:   Long Division forwards and backwards Example 2
  81.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  82.    wt: 2:   9 22 Minute Subtraction Review Video
  83.    wt: 2:   38 Formulas and derivatives for powers and roots
  84.    wt: 2:   28 Chain Rule Preparation for a Proof
  85.    wt: 2:   21 Chain Rule for powers
  86.    wt: 2:   20 Chain Rule for Pulley Systems
  87.    wt: 2:   3 Motivation for Limit Definition Take 2
  88.    wt: 2:   2 Motivation for Limit Definition Take 1
  89.    wt: 2:   2 Algebraic codification
  90.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  91.    wt: 2:   E2 Algebraic Properties of Limits
  92.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  93.    wt: 2:   Chapter 22 Complex Numbers
  94.    wt: 2:   Chapter 21 Arrow Addition
  95.    wt: 2:   Postscript For Better Performance
  96.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  97.    wt: 2:   Chapter 23. Notation For Sums
  98.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  99.    wt: 2:   Chapter 18. Rules for Algebra
  100.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  101.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  102.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  103.    wt: 2:   Chapter 2 For and Against Mathematics
  104.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  105.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  106.    wt: 2:   G. Written work formats for developing and showing skill
  107.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  108.    wt: 1:   Appendix 2 primary school Arithmetic 01
  109.    wt: 1:   G LAMP Introduction Problem Solving Skills
  110.    wt: 1:   Skills Chapter 5 Calculus
  111.    wt: 1:   Skills Chapter 4 Logic
  112.    wt: 1:   Ramblings Introduction Algebra Essay
  113.    wt: 1:   Skills Chapter 1 Arithmetic
  114.    wt: 1:   Skills Chapter 0 Introduction
  115.    wt: 1:   4 algebra
  116.    wt: 1:   2 arithmetic with signed numbers
  117.    wt: 1:   permissions for teachers
  118.    wt: 1:   Applied Maths Program14092009 POMME variant
  119.    wt: 1:   activities for students
  120.    wt: 1:   Postscript 2007 01 10
  121.    wt: 1:   Education Reform Inconsistencies
  122.    wt: 1:   Secondary Three Mathematics
  123.    wt: 1:   talk the algebra talk
  124.    wt: 1:   three difficulties
  125.    wt: 1:   teaching tutoring algebraic reason
  126.    wt: 1:   Lessening Algebra Difficulties
  127.    wt: 1:   the trouble with algebra
  128.    wt: 1:   04 29 New Mathematics Curriculum
  129.    wt: 1:   04 25 when to stop or suspend mathemat
  130.    wt: 1:   standards for course material
  131.    wt: 1:   three kinds of reason in mathematics
  132.    wt: 1:   Four ways to improve education reform
  133.    wt: 1:   need for a mixed mathematics curriculum
  134.    wt: 1:   fairness and inductive principles for instruction
  135.    wt: 1:   words for mathematics instructor
  136.    wt: 1:   chapitre 12 00 les iles et division
  137.    wt: 1:   chapitre 04 02 Deuxieme enigme
  138.    wt: 1:   chapitre 02 00 La Communication des idees
  139.    wt: 1:   2 Energy Power Heat07
  140.    wt: 1:   B Energy Power02
  141.    wt: 1:   D Wire Resistance Calculation02
  142.    wt: 1:   B Wire Resistance Qualitative02
  143.    wt: 1:   2 Unlike resistors in parallel01
  144.    wt: 1:   H Series Circuit02
  145.    wt: 1:   B Electromotive force conventional current01
  146.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  147.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  148.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  149.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  150.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  151.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  152.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  153.    wt: 1:   17 Math Booklets for children and young teenagers
  154.    wt: 1:   15 Counting For Parents
  155.    wt: 1:   10 Ends values for work study instruction
  156.    wt: 1:   5 Patience Please for Yourself and Your Charges
  157.    wt: 1:   4 Learning Takes Time and Effort
  158.    wt: 1:   3 Preparing for Science Studies
  159.    wt: 1:   1 Speaking Skills
  160.    wt: 1:   Ages 12 to 14 Geometry
  161.    wt: 1:   Ages 12 to 14 Arithmetic
  162.    wt: 1:   Ages 10 to 12 Geometry
  163.    wt: 1:   Ages 10 to 12 Arithmetic
  164.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  165.    wt: 1:   sign monoticity analysis example 2
  166.    wt: 1:   26 Function definitions done and coming
  167.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  168.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  169.    wt: 1:   23 Inverse Functions
  170.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  171.    wt: 1:   20 Interchanging coordinates a reflection
  172.    wt: 1:   12 Function Domain Recognition Exercises
  173.    wt: 1:   6 Set Existence Formation and Notation
  174.    wt: 1:   3 Formula or function graphing exercise
  175.    wt: 1:   8 quadratics backward use of various formulas
  176.    wt: 1:   7 quadratic formulla derivation
  177.    wt: 1:   2 quadratics graphing in general
  178.    wt: 1:   2 Square Root Simplification a prequel
  179.    wt: 1:   8 Notes for instructors or tutors
  180.    wt: 1:   3 Polynomials Multiplication Addition
  181.    wt: 1:   2 Column Multiplication Method
  182.    wt: 1:   Rewriting algebraic substitution as function substitutions
  183.    wt: 1:   9 motivation for name arcsin
  184.    wt: 1:   4 possible motivation for term arccos
  185.    wt: 1:   2 cosine function more properties
  186.    wt: 1:   2 Radian Measure Numerical Value of one degree
  187.    wt: 1:   12 From Applied To Pure Mathematics
  188.    wt: 1:   10 Parallelogram Addition Method
  189.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  190.    wt: 1:   5 Head To Tail Arrow Addition
  191.    wt: 1:   2 Signed Coordinates
  192.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  193.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  194.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  195.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  196.    wt: 1:   12 Straight Lines Graphing mx plus b
  197.    wt: 1:   8 Straight Lines Equation for vertical
  198.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  199.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  200.    wt: 1:   17 tangent function angle sum formulas
  201.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  202.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  203.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  204.    wt: 1:   32 seven rows of pascals triangle
  205.    wt: 1:   28 Expressing products of sines cosines as sums
  206.    wt: 1:   27 Logarithmic use of products of sines and cosines
  207.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  208.    wt: 1:   17C sine and cosine double triple angle formulas
  209.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  210.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  211.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  212.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  213.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  214.    wt: 1:   2 Quadrant I reference Angles
  215.    wt: 1:   21 Logarithms Powers and Exponentials
  216.    wt: 1:   20 N th Roots of Complex Numbers
  217.    wt: 1:   11 sine and cosine double triple angle formulas
  218.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  219.    wt: 1:   3 Addition Properties
  220.    wt: 1:   2 Complex Numbers made easier we hope
  221.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  222.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  223.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  224.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  225.    wt: 1:   12 Triangles Similarity More Problems
  226.    wt: 1:   2 Similarity By Design
  227.    wt: 1:   12 Links Lessons elsewhere
  228.    wt: 1:   8 Mid Point Formula
  229.    wt: 1:   5 Algebraic View of Slopes
  230.    wt: 1:   3 Slope product for perpendicular lines
  231.    wt: 1:   13 Pythagorean spatial distance formulas
  232.    wt: 1:   12 Spatial Coordinates
  233.    wt: 1:   10 Pythagorean plane distance formula
  234.    wt: 1:   5 Cartesian Addition and Translation
  235.    wt: 1:   2 Cartesian Coordinates with signs
  236.    wt: 1:   PS H Distributive Law For Complex Numbers
  237.    wt: 1:   PS G Rotation Distributes over Addition
  238.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  239.    wt: 1:   PS D Addition with Cartesian Coordinates
  240.    wt: 1:   21 Parallelograms
  241.    wt: 1:   12 Side Angle Side Failure
  242.    wt: 1:   2 Correspondence between Triangles
  243.    wt: 1:   2 Measuring Area Directly
  244.    wt: 1:   26 More Less Greater Than Comparison
  245.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  246.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  247.    wt: 1:   23 Distributive Law Two Derivations
  248.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  249.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  250.    wt: 1:   12 Real Numbers Line Signed Coordinates
  251.    wt: 1:   4 Location of Point in Decimal Addition
  252.    wt: 1:   2 Counting Digits in Decimal Multiplication
  253.    wt: 1:   C Three Decimal Subtraction Methods
  254.    wt: 1:   A Decimal Addition Columm Methods
  255.    wt: 1:   6 Column Methods for Decimal Multiplication
  256.    wt: 1:   5 Distributive Law for Whole Numbers
  257.    wt: 1:   4 Commutative Law Groups Counting Form
  258.    wt: 1:   3 Multiplicative Counting Skills Principles
  259.    wt: 1:   3 Inequalities Algebraically
  260.    wt: 1:   2 Fraction Operations Physical Development
  261.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  262.    wt: 1:   6 Compound Interest Forward and Backwards
  263.    wt: 1:   5 Triangle Area Formula Backwards
  264.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  265.    wt: 1:   2 Linear Equation Literal Solution
  266.    wt: 1:   5 Equality in Algebra
  267.    wt: 1:   3 Product Axioms Two Forms
  268.    wt: 1:   12 Real Number Additive Inverses or Negatives
  269.    wt: 1:   11 Real Number Addition
  270.    wt: 1:   9 Coordinates for Regions in Space
  271.    wt: 1:   8 Coordinates for Maps and Planes
  272.    wt: 1:   2 Integers
  273.    wt: 1:   3 Geometric Formulas and Function Notation
  274.    wt: 1:   2 Computation Rules Evaluation
  275.    wt: 1:   1 Formulas Dependence and Function Notation
  276.    wt: 1:   3 GE III Equation Addition and Multiplication
  277.    wt: 1:   2 GE II Comparison
  278.    wt: 1:   6 Algebraic Solution Example
  279.    wt: 1:   5 Algebraic Solutions Introduction
  280.    wt: 1:   9 Three Examples
  281.    wt: 1:   6 Three Examples
  282.    wt: 1:   5 Three Examples
  283.    wt: 1:   Using Letters for Physical Quantities
  284.    wt: 1:   13 Naming Identifying Formulas with Words
  285.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  286.    wt: 1:   8 Compound Interest Formula Evaluation
  287.    wt: 1:   7 Compound Interest Formula Introduction
  288.    wt: 1:   5 Box Volume Formula Example
  289.    wt: 1:   4 Circle Area Formula Example
  290.    wt: 1:   3 Triangle Area Formula Example
  291.    wt: 1:   2 Venn Diagrams
  292.    wt: 1:   6 Three Notions of What is a Variable
  293.    wt: 1:   4 A Brief Story of numbers and algebra
  294.    wt: 1:   2 What is a Variable
  295.    wt: 1:   arithmetic videos Real Player Format
  296.    wt: 1:   2 More and Less Than with Unlike Signs
  297.    wt: 1:   1 More and Less Than for Counts and Measures
  298.    wt: 1:   2 Square Roots with Prime
  299.    wt: 1:   2 Least Common Multiple LCM intro via list method
  300.    wt: 1:   2 Counting with Tables and Trees I
  301.    wt: 1:   4 signed coordinates for regions in space
  302.    wt: 1:   3 signed coordinates for maps and planes
  303.    wt: 1:   2 signed and unsigned numbers as coordinates
  304.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  305.    wt: 1:   2 Equality and Units
  306.    wt: 1:   1 Addition and Subtraction with Units
  307.    wt: 1:   D Three Term Ratios
  308.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  309.    wt: 1:   21 Working With Signs
  310.    wt: 1:   20 Dividing Fractions the Why
  311.    wt: 1:   16 Addition Subtraction Comparision Compared
  312.    wt: 1:   13 Fraction Comparison Algebraic View
  313.    wt: 1:   12 Fraction Comparison
  314.    wt: 1:   11 Simplification an Algebraic View
  315.    wt: 1:   6 Multiplication Algebraically Take II
  316.    wt: 1:   2 Unit Fraction Multiplication
  317.    wt: 1:   A Associative Law Theorectical Note
  318.    wt: 1:   12 Adding Integers More Examples
  319.    wt: 1:   11 Adding Integers Formulas and Examples
  320.    wt: 1:   10 Integer Multiplication Formulas
  321.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  322.    wt: 1:   21 Remainder Arithmetic Modulo 3
  323.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  324.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  325.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  326.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  327.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  328.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  329.    wt: 1:   20 Uniqueness of Prime Factorization
  330.    wt: 1:   15 video Factors of 20 using Prime Factorization
  331.    wt: 1:   14 video Factors of 24 Take II
  332.    wt: 1:   13 video Factors of 24 using prime
  333.    wt: 1:   12 LCD GCD and LCM using Primes
  334.    wt: 1:   10 video Prime Factorization upto 23 squared
  335.    wt: 1:   2 Prime and Composites less than 16
  336.    wt: 1:   Long Division forwards and backwards Example 3
  337.    wt: 1:   Long Division forwards and backwards Example 1
  338.    wt: 1:   12 Why Long Division Works Take III
  339.    wt: 1:   4 Division with 2 Digit Divsors
  340.    wt: 1:   2 Division with Single Digit Divisors
  341.    wt: 1:   A Elementary Basis for Multiplication Methods
  342.    wt: 1:   4 Two and Three Digit Multipliers
  343.    wt: 1:   2 One Digit Multipliers
  344.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  345.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  346.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  347.    wt: 1:   5 A Tip for Efficent Subtraction
  348.    wt: 1:   2 Subtraction Easy Case Examples
  349.    wt: 1:   8 What skills and work habits to require
  350.    wt: 1:   2 Decimal Counting Practices
  351.    wt: 1:   1. Explaining Addition Table
  352.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  353.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  354.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  355.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  356.    wt: 1:   Quick history of numbers and algebra
  357.    wt: 1:   Formula Evaluation how to show work
  358.    wt: 1:   The 20 Times Table
  359.    wt: 1:   The 12 Times Table Visually
  360.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  361.    wt: 1:   012 Division of Time Intervals by Time Intervals
  362.    wt: 1:   010 Repeated Addition of Time Intervals
  363.    wt: 1:   8 Addition of Time Intervals via subtotaling
  364.    wt: 1:   7 Addition of Time Intervals
  365.    wt: 1:   2 Time and Date Matters in School
  366.    wt: 1:   1 Intro of Kids To Time Date Skills
  367.    wt: 1:   Example 2 volume of a cone
  368.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  369.    wt: 1:   Example 2
  370.    wt: 1:   Area Between Curves Lesson Take 2
  371.    wt: 1:   2 Indefinite Integrals Exercises
  372.    wt: 1:   2 Second derivative test prequel
  373.    wt: 1:   29 Chain Rule Optional Reading
  374.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  375.    wt: 1:   26 Chain Rule Recognising outer inner functions
  376.    wt: 1:   25 Chain Rule Animated Examples Continued
  377.    wt: 1:   24 Chain Rule Animated Examples
  378.    wt: 1:   23 Chain Rule in general
  379.    wt: 1:   19 Chain Rule for linear functions
  380.    wt: 1:   14 sine and cosine derivatives 2nd step
  381.    wt: 1:   12 Quotient rule examples
  382.    wt: 1:   10 Power rule for negative integers
  383.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  384.    wt: 1:   11 Limits at infinity Three Examples
  385.    wt: 1:   10 Three one sided limits with infinite values
  386.    wt: 1:   3 Decimal insights for limits continuity convergence
  387.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  388.    wt: 1:   F.2 Closed Range Theorem
  389.    wt: 1:   D2 Limits of Monotone Sequences
  390.    wt: 1:   PostScript For and Against Decimal Perspectives
  391.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  392.    wt: 1:   Chapter 23 Links To Trigonometry
  393.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  394.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  395.    wt: 1:   Chapter 12. Units and Slopes
  396.    wt: 1:   Chapter 2. Slopes and Ski Trails
  397.    wt: 1:   Foreword
  398.    wt: 1:   Postscript More on Better Performance
  399.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  400.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  401.    wt: 1:   Chapter 28 Occurrence Tables
  402.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  403.    wt: 1:   Chapter 25. Mathematical Induction Examples
  404.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  405.    wt: 1:   Chapter 21. Third Reading Guide
  406.    wt: 1:   Chapter 20. Degrees and Radians
  407.    wt: 1:   Chapter 12. Shorthand Usage Guide
  408.    wt: 1:   Solutions For Arithmetic Exercises
  409.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  410.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  411.    wt: 1:   Foreword
  412.    wt: 1:   Postscript A Three Remarks
  413.    wt: 1:   Chapter 12 Four Phases
  414.    wt: 1:   Chapter 3 Algebra Difficulties
  415.    wt: 1:   Foreword
  416.    wt: 1:   Postscript C Consistency as a Tool for Reason
  417.    wt: 1:   Chapter 24 Direct and Indirect Reason
  418.    wt: 1:   Chapter 23 Truth Tables
  419.    wt: 1:   Chapter 21 Occurrence Tables
  420.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  421.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  422.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  423.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  424.    wt: 1:   Chapter 2 Skill Development
  425.    wt: 1:   Three Remarks
  426.    wt: 1:   Foreword
  427.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  428.    wt: 1:   S Adding words to algebra
  429.    wt: 1:   R Why Learn Mathematics Skills
  430.    wt: 1:   N Mathematics Prepare for College Studies
  431.    wt: 1:   L Skills with take home value
  432.    wt: 1:   I. Logic and language skills
  433.    wt: 1:   How to Build Skills and Confidence
  434.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  435.    wt: 1:   Chapter 6 More Algebra and Geometry
  436.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  437.    wt: 1:   Chapter 3 Algebra Starter Lessons
  438.    wt: 1:   Chapter 2 Why Sets
  439.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  440.    wt: 1:   7 Games and Activities for Instruction
  441.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  442.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  443.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  444.    wt: 1:   More Algebra and Slope based Calculus Preview
  445.    wt: 1:   Systematic Algebra Skill Development Missing Links
  446.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  447.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  448.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  449.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  450.    wt: 1:   The Math Forum and Site Content

Extended Search

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