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/

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430 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:   geometric implications for algebra
  5.    wt: 3:   02 21 words for teachers
  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:   Chapter 22 Contrapositive and Vacuously True Implications
  16.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  17.    wt: 2:   Skills Chapter 3 Algebra
  18.    wt: 2:   Skills Chapter 2 Geometry
  19.    wt: 2:   three goals to set for students
  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:   chapitre 04 05 Implication versus suggestion
  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:   38 Formulas and derivatives for powers and roots
  81.    wt: 2:   28 Chain Rule Preparation for a Proof
  82.    wt: 2:   21 Chain Rule for powers
  83.    wt: 2:   20 Chain Rule for Pulley Systems
  84.    wt: 2:   3 Motivation for Limit Definition Take 2
  85.    wt: 2:   2 Motivation for Limit Definition Take 1
  86.    wt: 2:   2 Algebraic codification
  87.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  88.    wt: 2:   E2 Algebraic Properties of Limits
  89.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  90.    wt: 2:   Chapter 22 Complex Numbers
  91.    wt: 2:   Postscript For Better Performance
  92.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  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 19 What is in chapters 20 to 24
  102.    wt: 2:   G. Written work formats for developing and showing skill
  103.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  104.    wt: 1:   Appendix 2 primary school Arithmetic 01
  105.    wt: 1:   G LAMP Introduction Problem Solving Skills
  106.    wt: 1:   Skills Chapter 5 Calculus
  107.    wt: 1:   Skills Chapter 4 Logic
  108.    wt: 1:   Ramblings Introduction Algebra Essay
  109.    wt: 1:   Skills Chapter 1 Arithmetic
  110.    wt: 1:   Skills Chapter 0 Introduction
  111.    wt: 1:   4 algebra
  112.    wt: 1:   2 arithmetic with signed numbers
  113.    wt: 1:   permissions for teachers
  114.    wt: 1:   Applied Maths Program14092009 POMME variant
  115.    wt: 1:   activities for students
  116.    wt: 1:   Postscript 2007 01 10
  117.    wt: 1:   Education Reform Inconsistencies
  118.    wt: 1:   Secondary Three Mathematics
  119.    wt: 1:   talk the algebra talk
  120.    wt: 1:   three difficulties
  121.    wt: 1:   teaching tutoring algebraic reason
  122.    wt: 1:   Lessening Algebra Difficulties
  123.    wt: 1:   the trouble with algebra
  124.    wt: 1:   04 29 New Mathematics Curriculum
  125.    wt: 1:   04 25 when to stop or suspend mathemat
  126.    wt: 1:   standards for course material
  127.    wt: 1:   three kinds of reason in mathematics
  128.    wt: 1:   Four ways to improve education reform
  129.    wt: 1:   need for a mixed mathematics curriculum
  130.    wt: 1:   fairness and inductive principles for instruction
  131.    wt: 1:   words for mathematics instructor
  132.    wt: 1:   chapitre 12 00 les iles et division
  133.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  134.    wt: 1:   chapitre 04 02 Deuxieme enigme
  135.    wt: 1:   chapitre 02 00 La Communication des idees
  136.    wt: 1:   2 Energy Power Heat07
  137.    wt: 1:   B Energy Power02
  138.    wt: 1:   D Wire Resistance Calculation02
  139.    wt: 1:   B Wire Resistance Qualitative02
  140.    wt: 1:   2 Unlike resistors in parallel01
  141.    wt: 1:   H Series Circuit02
  142.    wt: 1:   B Electromotive force conventional current01
  143.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  144.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  145.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  146.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  147.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  148.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  149.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  150.    wt: 1:   17 Math Booklets for children and young teenagers
  151.    wt: 1:   15 Counting For Parents
  152.    wt: 1:   10 Ends values for work study instruction
  153.    wt: 1:   5 Patience Please for Yourself and Your Charges
  154.    wt: 1:   4 Learning Takes Time and Effort
  155.    wt: 1:   3 Preparing for Science Studies
  156.    wt: 1:   1 Speaking Skills
  157.    wt: 1:   Ages 12 to 14 Geometry
  158.    wt: 1:   Ages 12 to 14 Arithmetic
  159.    wt: 1:   Ages 10 to 12 Geometry
  160.    wt: 1:   Ages 10 to 12 Arithmetic
  161.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  162.    wt: 1:   sign monoticity analysis example 2
  163.    wt: 1:   26 Function definitions done and coming
  164.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  165.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  166.    wt: 1:   23 Inverse Functions
  167.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  168.    wt: 1:   20 Interchanging coordinates a reflection
  169.    wt: 1:   12 Function Domain Recognition Exercises
  170.    wt: 1:   6 Set Existence Formation and Notation
  171.    wt: 1:   3 Formula or function graphing exercise
  172.    wt: 1:   8 quadratics backward use of various formulas
  173.    wt: 1:   7 quadratic formulla derivation
  174.    wt: 1:   2 quadratics graphing in general
  175.    wt: 1:   2 Square Root Simplification a prequel
  176.    wt: 1:   8 Notes for instructors or tutors
  177.    wt: 1:   2 Column Multiplication Method
  178.    wt: 1:   Rewriting algebraic substitution as function substitutions
  179.    wt: 1:   9 motivation for name arcsin
  180.    wt: 1:   4 possible motivation for term arccos
  181.    wt: 1:   2 cosine function more properties
  182.    wt: 1:   2 Radian Measure Numerical Value of one degree
  183.    wt: 1:   12 From Applied To Pure Mathematics
  184.    wt: 1:   2 Signed Coordinates
  185.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  186.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  187.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  188.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  189.    wt: 1:   12 Straight Lines Graphing mx plus b
  190.    wt: 1:   8 Straight Lines Equation for vertical
  191.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  192.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  193.    wt: 1:   17 tangent function angle sum formulas
  194.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  195.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  196.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  197.    wt: 1:   32 seven rows of pascals triangle
  198.    wt: 1:   28 Expressing products of sines cosines as sums
  199.    wt: 1:   27 Logarithmic use of products of sines and cosines
  200.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  201.    wt: 1:   17C sine and cosine double triple angle formulas
  202.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  203.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  204.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  205.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  206.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  207.    wt: 1:   2 Quadrant I reference Angles
  208.    wt: 1:   21 Logarithms Powers and Exponentials
  209.    wt: 1:   20 N th Roots of Complex Numbers
  210.    wt: 1:   11 sine and cosine double triple angle formulas
  211.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  212.    wt: 1:   2 Complex Numbers made easier we hope
  213.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  214.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  215.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  216.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  217.    wt: 1:   12 Triangles Similarity More Problems
  218.    wt: 1:   2 Similarity By Design
  219.    wt: 1:   12 Links Lessons elsewhere
  220.    wt: 1:   8 Mid Point Formula
  221.    wt: 1:   5 Algebraic View of Slopes
  222.    wt: 1:   3 Slope product for perpendicular lines
  223.    wt: 1:   13 Pythagorean spatial distance formulas
  224.    wt: 1:   12 Spatial Coordinates
  225.    wt: 1:   10 Pythagorean plane distance formula
  226.    wt: 1:   2 Cartesian Coordinates with signs
  227.    wt: 1:   PS H Distributive Law For Complex Numbers
  228.    wt: 1:   21 Parallelograms
  229.    wt: 1:   12 Side Angle Side Failure
  230.    wt: 1:   2 Correspondence between Triangles
  231.    wt: 1:   2 Measuring Area Directly
  232.    wt: 1:   26 More Less Greater Than Comparison
  233.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  234.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  235.    wt: 1:   23 Distributive Law Two Derivations
  236.    wt: 1:   21 Addition of Multiples of a Single Vector
  237.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  238.    wt: 1:   12 Real Numbers Line Signed Coordinates
  239.    wt: 1:   2 Counting Digits in Decimal Multiplication
  240.    wt: 1:   C Three Decimal Subtraction Methods
  241.    wt: 1:   6 Column Methods for Decimal Multiplication
  242.    wt: 1:   5 Distributive Law for Whole Numbers
  243.    wt: 1:   4 Commutative Law Groups Counting Form
  244.    wt: 1:   3 Multiplicative Counting Skills Principles
  245.    wt: 1:   3 Inequalities Algebraically
  246.    wt: 1:   2 Fraction Operations Physical Development
  247.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  248.    wt: 1:   6 Compound Interest Forward and Backwards
  249.    wt: 1:   5 Triangle Area Formula Backwards
  250.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  251.    wt: 1:   2 Linear Equation Literal Solution
  252.    wt: 1:   5 Equality in Algebra
  253.    wt: 1:   3 Product Axioms Two Forms
  254.    wt: 1:   2 Addition and Multiplication Axioms
  255.    wt: 1:   12 Real Number Additive Inverses or Negatives
  256.    wt: 1:   9 Coordinates for Regions in Space
  257.    wt: 1:   8 Coordinates for Maps and Planes
  258.    wt: 1:   2 Integers
  259.    wt: 1:   5 Independent versus Dependent Variables
  260.    wt: 1:   3 Geometric Formulas and Function Notation
  261.    wt: 1:   2 Computation Rules Evaluation
  262.    wt: 1:   1 Formulas Dependence and Function Notation
  263.    wt: 1:   2 GE II Comparison
  264.    wt: 1:   6 Algebraic Solution Example
  265.    wt: 1:   5 Algebraic Solutions Introduction
  266.    wt: 1:   9 Three Examples
  267.    wt: 1:   6 Three Examples
  268.    wt: 1:   5 Three Examples
  269.    wt: 1:   Using Letters for Physical Quantities
  270.    wt: 1:   13 Naming Identifying Formulas with Words
  271.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  272.    wt: 1:   8 Compound Interest Formula Evaluation
  273.    wt: 1:   7 Compound Interest Formula Introduction
  274.    wt: 1:   5 Box Volume Formula Example
  275.    wt: 1:   4 Circle Area Formula Example
  276.    wt: 1:   3 Triangle Area Formula Example
  277.    wt: 1:   2 Venn Diagrams
  278.    wt: 1:   6 Three Notions of What is a Variable
  279.    wt: 1:   4 A Brief Story of numbers and algebra
  280.    wt: 1:   2 What is a Variable
  281.    wt: 1:   arithmetic videos Real Player Format
  282.    wt: 1:   2 More and Less Than with Unlike Signs
  283.    wt: 1:   1 More and Less Than for Counts and Measures
  284.    wt: 1:   2 Square Roots with Prime
  285.    wt: 1:   2 Least Common Multiple LCM intro via list method
  286.    wt: 1:   2 Counting with Tables and Trees I
  287.    wt: 1:   4 signed coordinates for regions in space
  288.    wt: 1:   3 signed coordinates for maps and planes
  289.    wt: 1:   2 signed and unsigned numbers as coordinates
  290.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  291.    wt: 1:   2 Equality and Units
  292.    wt: 1:   D Three Term Ratios
  293.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  294.    wt: 1:   21 Working With Signs
  295.    wt: 1:   20 Dividing Fractions the Why
  296.    wt: 1:   13 Fraction Comparison Algebraic View
  297.    wt: 1:   12 Fraction Comparison
  298.    wt: 1:   11 Simplification an Algebraic View
  299.    wt: 1:   6 Multiplication Algebraically Take II
  300.    wt: 1:   2 Unit Fraction Multiplication
  301.    wt: 1:   12 Adding Integers More Examples
  302.    wt: 1:   11 Adding Integers Formulas and Examples
  303.    wt: 1:   10 Integer Multiplication Formulas
  304.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  305.    wt: 1:   21 Remainder Arithmetic Modulo 3
  306.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  307.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  308.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  309.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  310.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  311.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  312.    wt: 1:   20 Uniqueness of Prime Factorization
  313.    wt: 1:   15 video Factors of 20 using Prime Factorization
  314.    wt: 1:   14 video Factors of 24 Take II
  315.    wt: 1:   13 video Factors of 24 using prime
  316.    wt: 1:   12 LCD GCD and LCM using Primes
  317.    wt: 1:   10 video Prime Factorization upto 23 squared
  318.    wt: 1:   2 Prime and Composites less than 16
  319.    wt: 1:   Long Division forwards and backwards Example 3
  320.    wt: 1:   Long Division forwards and backwards Example 1
  321.    wt: 1:   12 Why Long Division Works Take III
  322.    wt: 1:   4 Division with 2 Digit Divsors
  323.    wt: 1:   2 Division with Single Digit Divisors
  324.    wt: 1:   A Elementary Basis for Multiplication Methods
  325.    wt: 1:   4 Two and Three Digit Multipliers
  326.    wt: 1:   2 One Digit Multipliers
  327.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  328.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  329.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  330.    wt: 1:   5 A Tip for Efficent Subtraction
  331.    wt: 1:   2 Subtraction Easy Case Examples
  332.    wt: 1:   8 What skills and work habits to require
  333.    wt: 1:   2 Decimal Counting Practices
  334.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  335.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  336.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  337.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  338.    wt: 1:   Quick history of numbers and algebra
  339.    wt: 1:   Formula Evaluation how to show work
  340.    wt: 1:   The 20 Times Table
  341.    wt: 1:   The 12 Times Table Visually
  342.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  343.    wt: 1:   012 Division of Time Intervals by Time Intervals
  344.    wt: 1:   2 Time and Date Matters in School
  345.    wt: 1:   1 Intro of Kids To Time Date Skills
  346.    wt: 1:   Example 2 volume of a cone
  347.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  348.    wt: 1:   Example 2
  349.    wt: 1:   Area Between Curves Lesson Take 2
  350.    wt: 1:   2 Indefinite Integrals Exercises
  351.    wt: 1:   2 Second derivative test prequel
  352.    wt: 1:   29 Chain Rule Optional Reading
  353.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  354.    wt: 1:   26 Chain Rule Recognising outer inner functions
  355.    wt: 1:   25 Chain Rule Animated Examples Continued
  356.    wt: 1:   24 Chain Rule Animated Examples
  357.    wt: 1:   23 Chain Rule in general
  358.    wt: 1:   19 Chain Rule for linear functions
  359.    wt: 1:   14 sine and cosine derivatives 2nd step
  360.    wt: 1:   12 Quotient rule examples
  361.    wt: 1:   10 Power rule for negative integers
  362.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  363.    wt: 1:   11 Limits at infinity Three Examples
  364.    wt: 1:   10 Three one sided limits with infinite values
  365.    wt: 1:   3 Decimal insights for limits continuity convergence
  366.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  367.    wt: 1:   F.2 Closed Range Theorem
  368.    wt: 1:   D2 Limits of Monotone Sequences
  369.    wt: 1:   PostScript For and Against Decimal Perspectives
  370.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  371.    wt: 1:   Chapter 23 Links To Trigonometry
  372.    wt: 1:   Chapter 21 Arrow Addition
  373.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  374.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  375.    wt: 1:   Chapter 12. Units and Slopes
  376.    wt: 1:   Chapter 11. Graphing Slope versus Position
  377.    wt: 1:   Chapter 2. Slopes and Ski Trails
  378.    wt: 1:   Foreword
  379.    wt: 1:   Postscript More on Better Performance
  380.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  381.    wt: 1:   Chapter 28 Occurrence Tables
  382.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  383.    wt: 1:   Chapter 25. Mathematical Induction Examples
  384.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  385.    wt: 1:   Chapter 21. Third Reading Guide
  386.    wt: 1:   Chapter 20. Degrees and Radians
  387.    wt: 1:   Chapter 12. Shorthand Usage Guide
  388.    wt: 1:   Solutions For Arithmetic Exercises
  389.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  390.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  391.    wt: 1:   Foreword
  392.    wt: 1:   Postscript A Three Remarks
  393.    wt: 1:   Chapter 12 Four Phases
  394.    wt: 1:   Chapter 3 Algebra Difficulties
  395.    wt: 1:   Foreword
  396.    wt: 1:   Postscript C Consistency as a Tool for Reason
  397.    wt: 1:   Chapter 24 Direct and Indirect Reason
  398.    wt: 1:   Chapter 23 Truth Tables
  399.    wt: 1:   Chapter 21 Occurrence Tables
  400.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  401.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  402.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  403.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  404.    wt: 1:   Chapter 2 Skill Development
  405.    wt: 1:   Three Remarks
  406.    wt: 1:   Foreword
  407.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  408.    wt: 1:   S Adding words to algebra
  409.    wt: 1:   R Why Learn Mathematics Skills
  410.    wt: 1:   N Mathematics Prepare for College Studies
  411.    wt: 1:   L Skills with take home value
  412.    wt: 1:   I. Logic and language skills
  413.    wt: 1:   How to Build Skills and Confidence
  414.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  415.    wt: 1:   Chapter 6 More Algebra and Geometry
  416.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  417.    wt: 1:   Chapter 3 Algebra Starter Lessons
  418.    wt: 1:   Chapter 2 Why Sets
  419.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  420.    wt: 1:   7 Games and Activities for Instruction
  421.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  422.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  423.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  424.    wt: 1:   More Algebra and Slope based Calculus Preview
  425.    wt: 1:   Systematic Algebra Skill Development Missing Links
  426.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  427.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  428.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  429.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  430.    wt: 1:   The Math Forum and Site Content

Extended Search

891 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  3.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  4.    wt: 9:   Chapter 23. Notation For Sums
  5.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  6.    wt: 8:   Postscript For Better Performance
  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: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  66.    wt: 5:   22 Square Root function graphically
  67.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  68.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  69.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  70.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  71.    wt: 5:   2 Square Root Simplification a prequel
  72.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  73.    wt: 5:   2 Combing Counts Addition Skills and Principles
  74.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  75.    wt: 5:   6 Compound Interest Forward and Backwards
  76.    wt: 5:   5 Triangle Area Formula Backwards
  77.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  78.    wt: 5:   2 Linear Equation Literal Solution
  79.    wt: 5:   2 Three Examples
  80.    wt: 5:   11 Volume of Sphere
  81.    wt: 5:   10 Volume of Pyramid
  82.    wt: 5:   9 Volume of Cone
  83.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  84.    wt: 5:   2 More and Less Than with Unlike Signs
  85.    wt: 5:   Long Division forwards and backwards Example 3
  86.    wt: 5:   12 Why Long Division Works Take III
  87.    wt: 5:   2 Division with Single Digit Divisors
  88.    wt: 5:   2 One Digit Multipliers
  89.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  90.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  91.    wt: 5:   Video Power Notation in Decimal Expansion
  92.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  93.    wt: 5:   5 A Tip for Efficent Subtraction
  94.    wt: 5:   2 Decimal Counting Practices
  95.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  96.    wt: 4:   geometric implications for algebra
  97.    wt: 4:   three goals for Mathematics Education
  98.    wt: 4:   02 21 words for teachers
  99.    wt: 4:   22 Student Centered Highschool Mathematics
  100.    wt: 4:   Ages 12 to 14 Skills with take home value
  101.    wt: 4:   2 Algebraic use of function notation
  102.    wt: 4:   26 Formulas for products of sines and cosines
  103.    wt: 4:   12 cis formulas for sine cosines and tangent
  104.    wt: 4:   PS H Distributive Law For Complex Numbers
  105.    wt: 4:   PS B Parallelogram Construction Methods
  106.    wt: 4:   21 Parallelograms
  107.    wt: 4:   12 Side Angle Side Failure
  108.    wt: 4:   2 Correspondence between Triangles
  109.    wt: 4:   22 Multiplication of Signed Numbers
  110.    wt: 4:   21 Addition of Multiples of a Single Vector
  111.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  112.    wt: 4:   12 Real Numbers Line Signed Coordinates
  113.    wt: 4:   3 Inequalities Algebraically
  114.    wt: 4:   2 Fraction Operations Physical Development
  115.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  116.    wt: 4:   3 Linear Equation Literal Solution More
  117.    wt: 4:   1 Changing Calculations
  118.    wt: 4:   2 More and Less Than for Counts and Measures
  119.    wt: 4:   12 Real Number Additive Inverses or Negatives
  120.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  121.    wt: 4:   2 GE II Comparison
  122.    wt: 4:   Formula Usage Show Work Format
  123.    wt: 4:   1 More and Less Than for Counts and Measures
  124.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  125.    wt: 4:   12 GCD 2700 288 via Prime
  126.    wt: 4:   22 Complex Compound Fractions
  127.    wt: 4:   21 Reciprocals for Fractions and Wholes
  128.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  129.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  130.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  131.    wt: 4:   20 Uniqueness of Prime Factorization
  132.    wt: 4:   12 LCD GCD and LCM using Primes
  133.    wt: 4:   2 Prime and Composites less than 16
  134.    wt: 4:   Long Division Backwards more
  135.    wt: 4:   Long Division Backward
  136.    wt: 4:   Long Division forwards and backwards Example 1
  137.    wt: 4:   4 Division with 2 Digit Divsors
  138.    wt: 4:   A Elementary Basis for Multiplication Methods
  139.    wt: 4:   4 Two and Three Digit Multipliers
  140.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  141.    wt: 4:   Subtraction with J Conversions Example
  142.    wt: 4:   Subtraction Another Video Lesson
  143.    wt: 4:   8 Subtraction with Units of Measure
  144.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  145.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  146.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  147.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  148.    wt: 4:   8 What skills and work habits to require
  149.    wt: 4:   22 Chain Rule for polynomials
  150.    wt: 4:   21 Chain Rule for powers
  151.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  152.    wt: 4:   Chapter 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:   Lessening Algebra Difficulties
  158.    wt: 3:   the trouble with algebra
  159.    wt: 3:   02 20 mathematics education references
  160.    wt: 3:   three aims for mathematics students
  161.    wt: 3:   Prequel In For A Penny In For A Pound
  162.    wt: 3:   B Energy Power02
  163.    wt: 3:   2 Conductance Resistance Duality02
  164.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  165.    wt: 3:   24 Standards For Skill Develoment Take II
  166.    wt: 3:   24 Standards For Skill Develoment
  167.    wt: 3:   12 Goals and Objectives For Mathematics
  168.    wt: 3:   2 Reading and Writing Skills
  169.    wt: 3:   Ages 12 to 14 Geometry
  170.    wt: 3:   Ages 12 to 14 Arithmetic
  171.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  172.    wt: 3:   sign monoticity analysis example 2
  173.    wt: 3:   26 Function definitions done and coming
  174.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  175.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  176.    wt: 3:   23 Inverse Functions
  177.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  178.    wt: 3:   20 Interchanging coordinates a reflection
  179.    wt: 3:   12 Function Domain Recognition Exercises
  180.    wt: 3:   5 Function notation for geometric transformations
  181.    wt: 3:   11 Growth and Decay in Biology
  182.    wt: 3:   10 Exponential Growth and Decay Models
  183.    wt: 3:   5 Natural Logarithm Calculator Exercises
  184.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  185.    wt: 3:   1 Calculator Starter Exercises
  186.    wt: 3:   12 motivation for term arctan
  187.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  188.    wt: 3:   8 Straight Lines Equation for vertical
  189.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  190.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  191.    wt: 3:   29 secant cosecant and cotangent for acute angles
  192.    wt: 3:   25 tangent double angle formula Slope connection
  193.    wt: 3:   24 tangent Angle Difference Formula
  194.    wt: 3:   21 sine and cosine Half Angle Formulas
  195.    wt: 3:   4 Equations for lines three forms
  196.    wt: 3:   2 point slope equation for a line
  197.    wt: 3:   PS G Rotation Distributes over Addition
  198.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  199.    wt: 3:   PS E Multiplication with Polar Coordinates
  200.    wt: 3:   PS D Addition with Cartesian Coordinates
  201.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  202.    wt: 3:   PS A Kite Construction Methods
  203.    wt: 3:   26 More Less Greater Than Comparison
  204.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  205.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  206.    wt: 3:   23 Distributive Law Two Derivations
  207.    wt: 3:   19 Signed Multiples of Vectors
  208.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  209.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  210.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  211.    wt: 3:   15 Head to Tails in place Addition Associative
  212.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  213.    wt: 3:   13 Arrows and Vectors in a Plane
  214.    wt: 3:   11 Signed Number Addition and Addition Properties
  215.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  216.    wt: 3:   2 Counting Digits in Decimal Multiplication
  217.    wt: 3:   C Three Decimal Subtraction Methods
  218.    wt: 3:   6 Column Methods for Decimal Multiplication
  219.    wt: 3:   5 Distributive Law for Whole Numbers
  220.    wt: 3:   4 Commutative Law Groups Counting Form
  221.    wt: 3:   3 Multiplicative Counting Skills Principles
  222.    wt: 3:   5 Areas of Rectangles Revisited
  223.    wt: 3:   4 Fraction Operations Axiomatic Development
  224.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  225.    wt: 3:   5 Proportionality in Equivalent Fractions
  226.    wt: 3:   4 Rates Ratios and Proporitionality
  227.    wt: 3:   3 Proportionality Examples
  228.    wt: 3:   1 What is Proportionality
  229.    wt: 3:   5 Equality in Algebra
  230.    wt: 3:   3 Product Axioms Two Forms
  231.    wt: 3:   2 Addition and Multiplication Axioms
  232.    wt: 3:   16 Real Numbers Comparison
  233.    wt: 3:   15 Real Number Division
  234.    wt: 3:   14 Real Number Multiplication
  235.    wt: 3:   13 Real Number Subtraction
  236.    wt: 3:   11 Real Number Addition
  237.    wt: 3:   10 Real Number Lengths and Signs
  238.    wt: 3:   9 Coordinates for Regions in Space
  239.    wt: 3:   8 Coordinates for Maps and Planes
  240.    wt: 3:   2 Integers
  241.    wt: 3:   5 Independent versus Dependent Variables
  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:   4 Solving a triangular system exercise
  246.    wt: 3:   3 Solving triangular system example
  247.    wt: 3:   1 Essentially One Unknown
  248.    wt: 3:   9 Three Examples
  249.    wt: 3:   6 Three Examples
  250.    wt: 3:   5 Three Examples
  251.    wt: 3:   Using Letters for Physical Quantities
  252.    wt: 3:   2 Venn Diagrams
  253.    wt: 3:   6 Three Notions of What is a Variable
  254.    wt: 3:   4 A Brief Story of numbers and algebra
  255.    wt: 3:   2 What is a Variable
  256.    wt: 3:   4 Greater More Less Than Signs in General
  257.    wt: 3:   3 Comparison of Negative Numbers
  258.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  259.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  260.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  261.    wt: 3:   3 signed coordinates for maps and planes
  262.    wt: 3:   2 signed and unsigned numbers as coordinates
  263.    wt: 3:   21 Working With Signs
  264.    wt: 3:   20 Dividing Fractions the Why
  265.    wt: 3:   2 Unit Fraction Multiplication
  266.    wt: 3:   12 Adding Integers More Examples
  267.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  268.    wt: 3:   26 Divisibility by 2 3 5 Example
  269.    wt: 3:   23 Remainder Arithmetic Modulo 2
  270.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  271.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  272.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  273.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  274.    wt: 3:   15 video Factors of 20 using Prime Factorization
  275.    wt: 3:   14 video Factors of 24 Take II
  276.    wt: 3:   13 video Factors of 24 using prime
  277.    wt: 3:   10 video Prime Factorization upto 23 squared
  278.    wt: 3:   Division with Counts and Length
  279.    wt: 3:   11 Another Single Digit Divisor Example
  280.    wt: 3:   10 Division by Five Long and Short Ways
  281.    wt: 3:   9 Why Long Division Works Take II
  282.    wt: 3:   8 Correcting the Mistake
  283.    wt: 3:   7 Long Divison Mistake Catching
  284.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  285.    wt: 3:   5 Long Division Include Zeroes or not
  286.    wt: 3:   3 Division Single Digit Divisor Example
  287.    wt: 3:   1 Divsion Physical Examples
  288.    wt: 3:   D Decimal Multiplication Methods Derived
  289.    wt: 3:   C Counting Areas with Powers of Ten
  290.    wt: 3:   B Powers of Ten
  291.    wt: 3:   6 Multiplication Commutes Order Not Important
  292.    wt: 3:   5 Decimal Fraction Multiplication
  293.    wt: 3:   3 More One Digit Multipliers
  294.    wt: 3:   1 Why 3 times 5 gives 15
  295.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  296.    wt: 3:   7 Adding decimal fractions using decimal point
  297.    wt: 3:   6. Counting and adding units and mixed units
  298.    wt: 3:   5. How to add decimals C. Examples
  299.    wt: 3:   4. How to add with decimals B with conversions
  300.    wt: 3:   3. How to add with decimals A sans conversions
  301.    wt: 3:   1. Explaining Addition Table
  302.    wt: 3:   The 20 Times Table
  303.    wt: 3:   38 Formulas and derivatives for powers and roots
  304.    wt: 3:   28 Chain Rule Preparation for a Proof
  305.    wt: 3:   20 Chain Rule for Pulley Systems
  306.    wt: 3:   10 Power rule for negative integers
  307.    wt: 3:   4 Sum Rule
  308.    wt: 3:   3 Motivation for Limit Definition Take 2
  309.    wt: 3:   2 Motivation for Limit Definition Take 1
  310.    wt: 3:   2 Algebraic codification
  311.    wt: 3:   Chapter 12 Four Phases
  312.    wt: 3:   Postscript C Consistency as a Tool for Reason
  313.    wt: 3:   Chapter 24 Direct and Indirect Reason
  314.    wt: 3:   Chapter 23 Truth Tables
  315.    wt: 3:   Chapter 21 Occurrence Tables
  316.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  317.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  318.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  319.    wt: 3:   Chapter 2 Skill Development
  320.    wt: 3:   Three Remarks
  321.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  322.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  323.    wt: 2:   Skills Chapter 3 Algebra
  324.    wt: 2:   4 algebra
  325.    wt: 2:   three goals to set for students
  326.    wt: 2:   Applied Maths Program14092009 POMME variant
  327.    wt: 2:   Secondary Three Mathematics
  328.    wt: 2:   talk the algebra talk
  329.    wt: 2:   three difficulties
  330.    wt: 2:   teaching tutoring algebraic reason
  331.    wt: 2:   04 29 New Mathematics Curriculum
  332.    wt: 2:   04 25 when to stop or suspend mathemat
  333.    wt: 2:   formal or informal peer review
  334.    wt: 2:   three kinds of reason in mathematics
  335.    wt: 2:   fairness and inductive principles for instruction
  336.    wt: 2:   chapitre 04 05 Implication versus suggestion
  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:   Rewriting algebraic substitution as function substitutions
  357.    wt: 2:   12 From Applied To Pure Mathematics
  358.    wt: 2:   2 Signed Coordinates
  359.    wt: 2:   4 graphing y=Asin(x c)
  360.    wt: 2:   3 graphing y=f(x c) plus K
  361.    wt: 2:   1 graphing y=f(x a)
  362.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  363.    wt: 2:   C Straight Lines Slope from Coordinates
  364.    wt: 2:   B Straight Line Slope Scaling Properties More
  365.    wt: 2:   A Straight Line Slope Scaling Properties
  366.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  367.    wt: 2:   12 Straight Lines Graphing mx plus b
  368.    wt: 2:   11 Straight Lines Graphing y=mx
  369.    wt: 2:   7 Tangent Function is odd on this domain
  370.    wt: 2:   5 Tangent Function Graph
  371.    wt: 2:   4 Tangent Function Properties
  372.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  373.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  374.    wt: 2:   28 Expressing products of sines cosines as sums
  375.    wt: 2:   27 Logarithmic use of products of sines and cosines
  376.    wt: 2:   20 sine and cosine Double Angle Formulas
  377.    wt: 2:   17E Trig Formulas for dot and cross Products
  378.    wt: 2:   17D cis formulas for sine cosines and tangent
  379.    wt: 2:   12 Graph of tangent function for one period
  380.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  381.    wt: 2:   21 Logarithms Powers and Exponentials
  382.    wt: 2:   20 N th Roots of Complex Numbers
  383.    wt: 2:   13 Trig Formulas for dot and cross Products
  384.    wt: 2:   2 Complex Numbers made easier we hope
  385.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  386.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  387.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  388.    wt: 2:   12 Triangles Similarity More Problems
  389.    wt: 2:   2 Similarity By Design
  390.    wt: 2:   12 Links Lessons elsewhere
  391.    wt: 2:   12 Spatial Coordinates
  392.    wt: 2:   2 Cartesian Coordinates with signs
  393.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  394.    wt: 2:   19 Right Triangle Similarity
  395.    wt: 2:   18 Triangle Similarity Take 1
  396.    wt: 2:   17 Right Bisectors of Triangle Sides
  397.    wt: 2:   16 Angles Subtended By Chords and Diameters
  398.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  399.    wt: 2:   14 Parallel Lines Postulate
  400.    wt: 2:   13 Angle Side Angle Failure
  401.    wt: 2:   11 Triangle Construction Fails
  402.    wt: 2:   10 Dropping a perpendicular to line
  403.    wt: 2:   9 Construction of a right bisector
  404.    wt: 2:   8 Isoceles Triangles
  405.    wt: 2:   7 Angle Side Angle
  406.    wt: 2:   6 Ruler and compass Angle Bisection
  407.    wt: 2:   5 Side Angle Side
  408.    wt: 2:   4 Side Side Side
  409.    wt: 2:   3 Isometry of Triangles Congruence
  410.    wt: 2:   1 Initial Concepts and Terms
  411.    wt: 2:   Short Course on Euclidean Geometry
  412.    wt: 2:   musings do not puiblish real numbers
  413.    wt: 2:   A Modular and Remainder Arithmetic
  414.    wt: 2:   A Signed Number Arithmetic Review
  415.    wt: 2:   9 Division with Digits after Decimal Point
  416.    wt: 2:   8 Division and Mulplication of Compound Fractions
  417.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  418.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  419.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  420.    wt: 2:   4 Location of Point in Decimal Addition
  421.    wt: 2:   3 Location of Point in Decimal Multiplication
  422.    wt: 2:   1 Fractions with Finite Decimal Expansions
  423.    wt: 2:   E Long Division Methods more
  424.    wt: 2:   D Long Division Methods
  425.    wt: 2:   B Decimal Comparison and Subtraction
  426.    wt: 2:   A Decimal Addition Columm Methods
  427.    wt: 2:   8 Column Multiplication Methods in General
  428.    wt: 2:   7 Decimals Multiplication Methods Examples
  429.    wt: 2:   1 The Counting Origins of Numbers
  430.    wt: 2:   6 Equations and Systems Equivalent or Implied
  431.    wt: 2:   4 Subtraction and Division Axioms
  432.    wt: 2:   1 Equivalent Computation Rules
  433.    wt: 2:   5 Greater More Less Than Signs in General
  434.    wt: 2:   4 Comparison of Negative Numbers
  435.    wt: 2:   3 More and Less Than with Unlike Signs
  436.    wt: 2:   1 Real Numbers Comparison
  437.    wt: 2:   7 Real Numbers as Line Cordinates
  438.    wt: 2:   6 Unsigned Real Numbers
  439.    wt: 2:   5 Rational Numbers More
  440.    wt: 2:   4 Rational Numbers
  441.    wt: 2:   3 Fractions
  442.    wt: 2:   1 Whole and Natural Numbers
  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:   1 GE Substitution four examples
  450.    wt: 2:   Skill Development Notes
  451.    wt: 2:   10 One Example
  452.    wt: 2:   8 One Example
  453.    wt: 2:   7 Two Examples
  454.    wt: 2:   4 Two Examples
  455.    wt: 2:   3 Two Examples
  456.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  457.    wt: 2:   9 Sets in Probability and Statistics
  458.    wt: 2:   8 Sets of Numbers
  459.    wt: 2:   7 Cautious or Safe Set Construction
  460.    wt: 2:   6 Power Set Notation
  461.    wt: 2:   5 Product Builder Notation
  462.    wt: 2:   4 Subset Builder Notation
  463.    wt: 2:   3 Counting with Sets etc
  464.    wt: 2:   1 Finite Sets
  465.    wt: 2:   5 Talking about Numbers and Quantities
  466.    wt: 2:   3 Adding Words To Arithmetic
  467.    wt: 2:   About Folder Contents
  468.    wt: 2:   arithmetic videos Real Player Format
  469.    wt: 2:   2 Square Roots with Prime
  470.    wt: 2:   8 GCD from Euclidean Algorithm
  471.    wt: 2:   2 Least Common Multiple LCM intro via list method
  472.    wt: 2:   2 Counting with Tables and Trees I
  473.    wt: 2:   4 signed coordinates for regions in space
  474.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  475.    wt: 2:   2 Equality and Units
  476.    wt: 2:   D Three Term Ratios
  477.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  478.    wt: 2:   19 Dividing Fractions How TO
  479.    wt: 2:   13 Fraction Comparison Algebraic View
  480.    wt: 2:   12 Fraction Comparison
  481.    wt: 2:   11 Simplification an Algebraic View
  482.    wt: 2:   6 Multiplication Algebraically Take II
  483.    wt: 2:   13 Subtraction with Additive Inverse
  484.    wt: 2:   11 Adding Integers Formulas and Examples
  485.    wt: 2:   10 Integer Multiplication Formulas
  486.    wt: 2:   21 Remainder Arithmetic Modulo 3
  487.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  488.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  489.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  490.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  491.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  492.    wt: 2:   5 Remainder Arithmetic Modulo 5
  493.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  494.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  495.    wt: 2:   1 Remainder Arithmetic Modulo 10
  496.    wt: 2:   19 video Prime Factorization Unique
  497.    wt: 2:   18 video Count Factors given Prime Factorization
  498.    wt: 2:   17 Identify and Count Factors using Primes
  499.    wt: 2:   16 video Factors of 980 using prime
  500.    wt: 2:   11 Efficient Square Rule Use
  501.    wt: 2:   9 video Prime Factorization upto 19 squared
  502.    wt: 2:   8 video Prime Factorization upto 19
  503.    wt: 2:   7 Calculator Usage Notes and Cautions
  504.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  505.    wt: 2:   5 Prime Factorization and a Square Rule
  506.    wt: 2:   4 video Prime Factorization Introduction
  507.    wt: 2:   3 video Primes and Composites from 9 times table
  508.    wt: 2:   1 video how Products are bigger than factor
  509.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  510.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  511.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  512.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  513.    wt: 2:   Quick history of numbers and algebra
  514.    wt: 2:   Formula Evaluation how to show work
  515.    wt: 2:   The 12 Times Table Visually
  516.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  517.    wt: 2:   012 Division of Time Intervals by Time Intervals
  518.    wt: 2:   2 Time and Date Matters in School
  519.    wt: 2:   1 Intro of Kids To Time Date Skills
  520.    wt: 2:   Example 2 volume of a cone
  521.    wt: 2:   Example 1. Area Between x and x squared
  522.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  523.    wt: 2:   Example 3
  524.    wt: 2:   Example 2
  525.    wt: 2:   Area Between Curves Lesson Take 2
  526.    wt: 2:   A Chain Rule Real Player video examples
  527.    wt: 2:   30Chain Rule A Proof
  528.    wt: 2:   29 Chain Rule Optional Reading
  529.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  530.    wt: 2:   26 Chain Rule Recognising outer inner functions
  531.    wt: 2:   25 Chain Rule Animated Examples Continued
  532.    wt: 2:   24 Chain Rule Animated Examples
  533.    wt: 2:   23 Chain Rule in general
  534.    wt: 2:   19 Chain Rule for linear functions
  535.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  536.    wt: 2:   14 sine and cosine derivatives 2nd step
  537.    wt: 2:   12 Quotient rule examples
  538.    wt: 2:   11 Quotient rule
  539.    wt: 2:   9 Reciprocal rule
  540.    wt: 2:   8 Differentiation of polynomials
  541.    wt: 2:   7 Animated Differentiation Examples
  542.    wt: 2:   6 Power rule from product rule
  543.    wt: 2:   5 Product Rule
  544.    wt: 2:   11 Limits at infinity Three Examples
  545.    wt: 2:   3 Decimal insights for limits continuity convergence
  546.    wt: 2:   E2 Algebraic Properties of Limits
  547.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  548.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  549.    wt: 2:   Chapter 23 Links To Trigonometry
  550.    wt: 2:   Chapter 21 Arrow Addition
  551.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  552.    wt: 2:   Chapter 12. Units and Slopes
  553.    wt: 2:   Chapter 2. Slopes and Ski Trails
  554.    wt: 2:   Postscript A Three Remarks
  555.    wt: 2:   Chapter 3 Algebra Difficulties
  556.    wt: 2:   Foreword
  557.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  558.    wt: 2:   Postscript B More on Story Telling and Reason
  559.    wt: 2:   Postscript A Story Telling
  560.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  561.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  562.    wt: 2:   Foreword
  563.    wt: 2:   L Skills with take home value
  564.    wt: 2:   G. Written work formats for developing and showing skill
  565.    wt: 2:   Chapter 2 Why Sets
  566.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  567.    wt: 2:   7 Games and Activities for Instruction
  568.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  569.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  570.    wt: 1:   Appendix 2 primary school Arithmetic 01
  571.    wt: 1:   G LAMP Introduction Problem Solving Skills
  572.    wt: 1:   Skills Chapter 5 Calculus
  573.    wt: 1:   Skills Chapter 4 Logic
  574.    wt: 1:   Ramblings Introduction Algebra Essay
  575.    wt: 1:   Skills Chapter 1 Arithmetic
  576.    wt: 1:   Skills Chapter 0 Introduction
  577.    wt: 1:   11 pure mathematics
  578.    wt: 1:   10 statistics
  579.    wt: 1:   9 combinatorics probability sets
  580.    wt: 1:   8 analytic geometry etc
  581.    wt: 1:   7 logic review and decimals an odd combination
  582.    wt: 1:   6 polynomials etc
  583.    wt: 1:   5 logarithms and exponentials etc
  584.    wt: 1:   3 Euclidean Geometry Leanly
  585.    wt: 1:   1 arithmetic with unsigned numbers
  586.    wt: 1:   What is POMME
  587.    wt: 1:   why bother
  588.    wt: 1:   permissions for teachers
  589.    wt: 1:   activities for students
  590.    wt: 1:   About site lesson plans
  591.    wt: 1:   learning takes time
  592.    wt: 1:   Postscript 2007 01 10
  593.    wt: 1:   Education Reform Inconsistencies
  594.    wt: 1:   Maps Plans Drawings
  595.    wt: 1:   how letters appear
  596.    wt: 1:   Secondary Two Mathematics
  597.    wt: 1:   Secondary One Mathematics
  598.    wt: 1:   teaching tips
  599.    wt: 1:   What to Tell Students
  600.    wt: 1:   mathematics curriculum shifts
  601.    wt: 1:   05 13 OldSiteEntrancePage
  602.    wt: 1:   standards for course material
  603.    wt: 1:   Four ways to improve education reform
  604.    wt: 1:   need for a mixed mathematics curriculum
  605.    wt: 1:   education an empirical art
  606.    wt: 1:   words for mathematics instructor
  607.    wt: 1:   chapitre 12 00 les iles et division
  608.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  609.    wt: 1:   chapitre 04 02 Deuxieme enigme
  610.    wt: 1:   chapitre 02 00 La Communication des idees
  611.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  612.    wt: 1:   4 Energy Power Heat09
  613.    wt: 1:   3 Energy Power Heat08
  614.    wt: 1:   1 Energy Power Heat06
  615.    wt: 1:   E Energy Power05
  616.    wt: 1:   D Energy Power04
  617.    wt: 1:   C Energy Power03
  618.    wt: 1:   A Energy Power01
  619.    wt: 1:   D Wire Resistance Calculation02
  620.    wt: 1:   B Wire Resistance Qualitative02
  621.    wt: 1:   3 Like resistors in parallel
  622.    wt: 1:   2 Unlike resistors in parallel01
  623.    wt: 1:   H Series Circuit02
  624.    wt: 1:   B Electromotive force conventional current01
  625.    wt: 1:   17 Math Booklets for children and young teenagers
  626.    wt: 1:   15 Counting For Parents
  627.    wt: 1:   10 Ends values for work study instruction
  628.    wt: 1:   5 Patience Please for Yourself and Your Charges
  629.    wt: 1:   4 Learning Takes Time and Effort
  630.    wt: 1:   3 Preparing for Science Studies
  631.    wt: 1:   1 Speaking Skills
  632.    wt: 1:   Ages 9 to 10
  633.    wt: 1:   Ages 8 to 9
  634.    wt: 1:   Ages 7 to 8
  635.    wt: 1:   Ages 6 to 7
  636.    wt: 1:   Ages 4 plus to 5 plus
  637.    wt: 1:   Ages 3 plus to 4 plus
  638.    wt: 1:   sign monoticity analysis example 4
  639.    wt: 1:   sign monoticity analysis example 3
  640.    wt: 1:   sign monoticity analysis example 1
  641.    wt: 1:   19 Horizontal line rule and method
  642.    wt: 1:   18 Vertical Line Rule and Method
  643.    wt: 1:   17 Function maxima minima and their location
  644.    wt: 1:   16 Increasing or decreasing on intervals
  645.    wt: 1:   15 Sign analysis of functions
  646.    wt: 1:   14 Surjections Injections Bijections
  647.    wt: 1:   13 From one to one to many to one
  648.    wt: 1:   11 Function Domain Range Source and Targets
  649.    wt: 1:   10 Interval Notation
  650.    wt: 1:   9 Set theory term relation possible origins
  651.    wt: 1:   8 Set view of relations and functions
  652.    wt: 1:   7 Functions with finite domains
  653.    wt: 1:   4 Function notation in and beyond mathematics
  654.    wt: 1:   1 Geometric Introduction of Function Notation
  655.    wt: 1:   Introduction Reading Guide
  656.    wt: 1:   A Quadratics Summary
  657.    wt: 1:   10 quadratic exercises
  658.    wt: 1:   9 quadratics physical and further context
  659.    wt: 1:   6 quadratics numerical approach
  660.    wt: 1:   5 quadratics completing the square
  661.    wt: 1:   4 quadratics difference of two squares
  662.    wt: 1:   3 quadratics factoring by inspection
  663.    wt: 1:   1 quadratics graphing exercises
  664.    wt: 1:   Quadratics in 10 steps
  665.    wt: 1:   7 Links Lessons Elsewhere
  666.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  667.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  668.    wt: 1:   4 Polynomials Long division linear divisor
  669.    wt: 1:   3 Polynomials Multiplication Addition
  670.    wt: 1:   1 Polynomials Distributive Law
  671.    wt: 1:   16 cotangent function Definition Graph and Inverse
  672.    wt: 1:   15 cosecant function Definition Graph and Inverse
  673.    wt: 1:   14 secant function Definition Graph and Inverse
  674.    wt: 1:   13 cosecant function Definition Graph and Inverse
  675.    wt: 1:   11 arctan left inverse of tangent Graph
  676.    wt: 1:   10 arctan left inverse of tangent Definition
  677.    wt: 1:   9 motivation for name arcsin
  678.    wt: 1:   4 possible motivation for term arccos
  679.    wt: 1:   2 cosine function more properties
  680.    wt: 1:   9 Summary Degrees to Radians and back
  681.    wt: 1:   2 Radian Measure Numerical Value of one degree
  682.    wt: 1:   Parallel Lines and Interior Angles
  683.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  684.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  685.    wt: 1:   Straight Lines ASA Intersection Study More
  686.    wt: 1:   14 Straight Lines Equations General Case
  687.    wt: 1:   10 Straight Lines through Origin Equations More
  688.    wt: 1:   9 Straight Lines through Origin Equations
  689.    wt: 1:   1 Straight Lines Slope Concept
  690.    wt: 1:   17 tangent function angle sum formulas
  691.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  692.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  693.    wt: 1:   32 seven rows of pascals triangle
  694.    wt: 1:   30 unit circle calculation of six trigonometric functions
  695.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  696.    wt: 1:   17C sine and cosine double triple angle formulas
  697.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  698.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  699.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  700.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  701.    wt: 1:   2 Quadrant I reference Angles
  702.    wt: 1:   11 sine and cosine double triple angle formulas
  703.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  704.    wt: 1:   8 Triangles Cascade Problem Solving
  705.    wt: 1:   7 Trignometric Ratios Unit Circle
  706.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  707.    wt: 1:   3 Trigonometric Ratios sine and cosine
  708.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  709.    wt: 1:   4 Similarity Definition with Coordinate
  710.    wt: 1:   8 Mid Point Formula
  711.    wt: 1:   5 Algebraic View of Slopes
  712.    wt: 1:   3 Slope product for perpendicular lines
  713.    wt: 1:   13 Pythagorean spatial distance formulas
  714.    wt: 1:   10 Pythagorean plane distance formula
  715.    wt: 1:   2 Measuring Area Directly
  716.    wt: 1:   5 Square Roots with primes more still
  717.    wt: 1:   4 Square Roots with primes more
  718.    wt: 1:   3 Properties of Square Roots with example
  719.    wt: 1:   1 Squares and Square Roots Introduction
  720.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  721.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  722.    wt: 1:   13 GCD from given Prime Factorization
  723.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  724.    wt: 1:   7 GCD and LCM from prime factorization
  725.    wt: 1:   6 GCD from Prime
  726.    wt: 1:   5 Common Divisors 60 45 via Prime
  727.    wt: 1:   4 LCM of 8 and 10 via Prime
  728.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  729.    wt: 1:   1 Least Common Multiples LCM Introduction
  730.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  731.    wt: 1:   4 Counting with Trees Product Rule Take I
  732.    wt: 1:   3 Counting with Tables and Trees II
  733.    wt: 1:   1 Counting and Counting Methods I
  734.    wt: 1:   11 What are real lengths and numbers
  735.    wt: 1:   10 dividing signed numbers
  736.    wt: 1:   9 subtracting signed numbers
  737.    wt: 1:   8 multiplying signed numbers
  738.    wt: 1:   7 negative and additive inverse
  739.    wt: 1:   6 adding signed numbers
  740.    wt: 1:   5 lengths and signs of numbers
  741.    wt: 1:   7 Converting or Changing Units
  742.    wt: 1:   6 Simplification of Fractions with Units
  743.    wt: 1:   4 Fractions with Units
  744.    wt: 1:   3 Multiplying Units and Numbers
  745.    wt: 1:   1 Addition and Subtraction with Units
  746.    wt: 1:   B Fractions and Two Term Ratios
  747.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  748.    wt: 1:   18 Efficient Ways to Multiply
  749.    wt: 1:   17 Efficient Ways to Add and Subtract
  750.    wt: 1:   16 Addition Subtraction Comparision Compared
  751.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  752.    wt: 1:   14 Adding and Subtracting with Like Denominators
  753.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  754.    wt: 1:   9 Improper Fractions and Mixed Numbers
  755.    wt: 1:   8 Numerals Fractionals Quantals Take II
  756.    wt: 1:   7 Numerals Fractionals Quantals
  757.    wt: 1:   6 Multiplication of Mixed Numbers
  758.    wt: 1:   5 Equivalent Fractions
  759.    wt: 1:   4 Fraction Multiplication
  760.    wt: 1:   3 Unit fraction of a fraction
  761.    wt: 1:   1 What is a fraction Take II
  762.    wt: 1:   1 What is a fraction
  763.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  764.    wt: 1:   D Remainders Modulo 11 Pair Rule
  765.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  766.    wt: 1:   B Integer Long Division Multiple Choices
  767.    wt: 1:   A Associative Law Theorectical Note
  768.    wt: 1:   9 Multiplying Integers
  769.    wt: 1:   8 Multiplication by Signed Numbers Integers
  770.    wt: 1:   7 Multiplication by Signs
  771.    wt: 1:   6 Multiplication by Natural Numbers
  772.    wt: 1:   5 Zero Movement and Additive Inverses
  773.    wt: 1:   4 Adding Movements wiht opposite directions
  774.    wt: 1:   3 Adding Movements with same direction
  775.    wt: 1:   1 Integers as Coordinates
  776.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  777.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  778.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  779.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  780.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  781.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  782.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  783.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  784.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  785.    wt: 1:   11 Place Value SI Standard International way
  786.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  787.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  788.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  789.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  790.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  791.    wt: 1:   Exact Arithmetic Wholes and Fractions
  792.    wt: 1:   Expression Evaluation how to show work
  793.    wt: 1:   About folder contents
  794.    wt: 1:   016 Numbering Occidental Calendar Days
  795.    wt: 1:   015 School and work day counting tables
  796.    wt: 1:   014 Counting Days with Calendars
  797.    wt: 1:   013 Travel Time Tables
  798.    wt: 1:   011 Division of Time Intervals By Numbers
  799.    wt: 1:   010 Repeated Addition of Time Intervals
  800.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  801.    wt: 1:   8 Addition of Time Intervals via subtotaling
  802.    wt: 1:   7 Addition of Time Intervals
  803.    wt: 1:   6 How long is a million seconds
  804.    wt: 1:   5 Conversion Arithmetic
  805.    wt: 1:   4 Mixing and Changing Units of Time
  806.    wt: 1:   3 Units and Lengths of Time
  807.    wt: 1:   Example 1 volume of a pyramid
  808.    wt: 1:   Volume of Solid by Cross Sections Lesson
  809.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  810.    wt: 1:   Example 4 with x function of y
  811.    wt: 1:   Example 1
  812.    wt: 1:   Area Between Curves Lesson Take 1
  813.    wt: 1:   Summary
  814.    wt: 1:   2 Indefinite Integrals Exercises
  815.    wt: 1:   1 Chain Rule in Reverse Integration Method
  816.    wt: 1:   2 Second derivative test prequel
  817.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  818.    wt: 1:   36 Cube root derivative animated
  819.    wt: 1:   34 Derivative of exponential function
  820.    wt: 1:   33 Chain Rule Real Player video examples
  821.    wt: 1:   31 Derivatives of inverse functions
  822.    wt: 1:   18 Chain Rule Introduction
  823.    wt: 1:   17 Derivatives of quotients of sine and cosine
  824.    wt: 1:   15 sine and cosine derivatives 3rd step
  825.    wt: 1:   13 sine and cosine derivatives 1st step
  826.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  827.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  828.    wt: 1:   10 Three one sided limits with infinite values
  829.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  830.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  831.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  832.    wt: 1:   F.4 Finite Covering Theorem
  833.    wt: 1:   F.2 Closed Range Theorem
  834.    wt: 1:   D2 Limits of Monotone Sequences
  835.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  836.    wt: 1:   PostScript For and Against Decimal Perspectives
  837.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  838.    wt: 1:   Chapter 11. Graphing Slope versus Position
  839.    wt: 1:   Fall 1983 Calculus Appetizer
  840.    wt: 1:   Foreword
  841.    wt: 1:   Annotated Links to Material Elsehwere
  842.    wt: 1:   Postscript B Mathematics Education References
  843.    wt: 1:   Chapter 11 Elementary Instruction
  844.    wt: 1:   Chapter 10 Transition
  845.    wt: 1:   Chapter 9 The Two Ends
  846.    wt: 1:   Chapter 8 Modern Instruction
  847.    wt: 1:   Chapter 7 Two Treatments of Geometry
  848.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  849.    wt: 1:   Chapter 5 Four References
  850.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  851.    wt: 1:   Chapter 1 Introduction
  852.    wt: 1:   Chapter 18 Sense and Knowledge
  853.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  854.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  855.    wt: 1:   Chapter 15 Objective Processes
  856.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  857.    wt: 1:   Chapter 11 Accidental Patterns
  858.    wt: 1:   Chapter 10 Responsibility
  859.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  860.    wt: 1:   Chapter 8 Change of Language
  861.    wt: 1:   Chapter 7 Longer Chains of Reason
  862.    wt: 1:   Chapter 6 Chains of Reason
  863.    wt: 1:   Chapter 5 Deception
  864.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  865.    wt: 1:   Chapter 1 Introduction
  866.    wt: 1:   S Adding words to algebra
  867.    wt: 1:   R Why Learn Mathematics Skills
  868.    wt: 1:   N Mathematics Prepare for College Studies
  869.    wt: 1:   I. Logic and language skills
  870.    wt: 1:   B. Domino effect of errors
  871.    wt: 1:   How to Build Skills and Confidence
  872.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  873.    wt: 1:   Chapter 6 More Algebra and Geometry
  874.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  875.    wt: 1:   Chapter 3 Algebra Starter Lessons
  876.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  877.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  878.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  879.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  880.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  881.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  882.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  883.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  884.    wt: 1:   More Algebra and Slope based Calculus Preview
  885.    wt: 1:   Systematic Algebra Skill Development Missing Links
  886.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  887.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  888.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  889.    wt: 1:   The Math Forum and Site Content
  890.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  891.    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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