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

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

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

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

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

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

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

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

Web Page Search

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

Extended Search

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