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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55 matches:

  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:   7 Axioms Logic and Equivalent Equations/
  10.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  11.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  12.    wt: 3:   D Decimal Long Division Methods/
  13.    wt: 3:   C Decimal Multiplication Methods/
  14.    wt: 3:   A Decimal Counting and Adding Methods/
  15.    wt: 3:   2 Arithmetic with Decimals/
  16.    wt: 2:   12 Function Translating and Rescaling/
  17.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  18.    wt: 2:   B Real Numbers Extrinsic Development/
  19.    wt: 2:   A Origins of Counting and Figuring Methods/
  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:   Secondary Mathematics A Practical Approach/
  55.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

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

Extended Search

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