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 3 Why Slopes A Calculus Intro Etc/
  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

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

Extended Search

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