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

431 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 3:   02 21 words for teachers
  5.    wt: 3:   26 Formulas for products of sines and cosines
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   4 Equations for lines three forms
  9.    wt: 3:   12 GCD 2700 288 via Prime
  10.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  11.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  12.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  13.    wt: 3:   22 Chain Rule for polynomials
  14.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  15.    wt: 2:   Skills Chapter 3 Algebra
  16.    wt: 2:   Skills Chapter 2 Geometry
  17.    wt: 2:   three goals to set for students
  18.    wt: 2:   geometric implications for algebra
  19.    wt: 2:   three goals for Mathematics Education
  20.    wt: 2:   02 20 mathematics education references
  21.    wt: 2:   three aims for mathematics students
  22.    wt: 2:   formal or informal peer review
  23.    wt: 2:   Prequel In For A Penny In For A Pound
  24.    wt: 2:   2 Conductance Resistance Duality02
  25.    wt: 2:   C Electromotive force conventional current02
  26.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  27.    wt: 2:   24 Standards For Skill Develoment Take II
  28.    wt: 2:   24 Standards For Skill Develoment
  29.    wt: 2:   22 Student Centered Highschool Mathematics
  30.    wt: 2:   12 Goals and Objectives For Mathematics
  31.    wt: 2:   2 Reading and Writing Skills
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  34.    wt: 2:   22 Square Root function graphically
  35.    wt: 2:   5 Function notation for geometric transformations
  36.    wt: 2:   2 Algebraic use of function notation
  37.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  38.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  39.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  40.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  41.    wt: 2:   12 motivation for term arctan
  42.    wt: 2:   29 secant cosecant and cotangent for acute angles
  43.    wt: 2:   25 tangent double angle formula Slope connection
  44.    wt: 2:   24 tangent Angle Difference Formula
  45.    wt: 2:   21 sine and cosine Half Angle Formulas
  46.    wt: 2:   20 sine and cosine Double Angle Formulas
  47.    wt: 2:   17E Trig Formulas for dot and cross Products
  48.    wt: 2:   17D cis formulas for sine cosines and tangent
  49.    wt: 2:   12 Graph of tangent function for one period
  50.    wt: 2:   13 Trig Formulas for dot and cross Products
  51.    wt: 2:   2 point slope equation for a line
  52.    wt: 2:   2 Correspondence between Triangles
  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:   Area Between Crossing Curves Lesson Take 2
  80.    wt: 2:   Area Between Curves Lesson Take 2
  81.    wt: 2:   38 Formulas and derivatives for powers and roots
  82.    wt: 2:   28 Chain Rule Preparation for a Proof
  83.    wt: 2:   21 Chain Rule for powers
  84.    wt: 2:   20 Chain Rule for Pulley Systems
  85.    wt: 2:   3 Motivation for Limit Definition Take 2
  86.    wt: 2:   2 Motivation for Limit Definition Take 1
  87.    wt: 2:   2 Algebraic codification
  88.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  89.    wt: 2:   E2 Algebraic Properties of Limits
  90.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  91.    wt: 2:   Chapter 22 Complex Numbers
  92.    wt: 2:   Postscript For Better Performance
  93.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  94.    wt: 2:   Chapter 23. Notation For Sums
  95.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  96.    wt: 2:   Chapter 18. Rules for Algebra
  97.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  98.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  99.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  100.    wt: 2:   Chapter 2 For and Against Mathematics
  101.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  102.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  103.    wt: 2:   G. Written work formats for developing and showing skill
  104.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  105.    wt: 1:   Appendix 2 primary school Arithmetic 01
  106.    wt: 1:   G LAMP Introduction Problem Solving Skills
  107.    wt: 1:   Skills Chapter 5 Calculus
  108.    wt: 1:   Skills Chapter 4 Logic
  109.    wt: 1:   Ramblings Introduction Algebra Essay
  110.    wt: 1:   Skills Chapter 1 Arithmetic
  111.    wt: 1:   Skills Chapter 0 Introduction
  112.    wt: 1:   4 algebra
  113.    wt: 1:   2 arithmetic with signed numbers
  114.    wt: 1:   permissions for teachers
  115.    wt: 1:   Applied Maths Program14092009 POMME variant
  116.    wt: 1:   activities for students
  117.    wt: 1:   Postscript 2007 01 10
  118.    wt: 1:   Education Reform Inconsistencies
  119.    wt: 1:   Secondary Three Mathematics
  120.    wt: 1:   talk the algebra talk
  121.    wt: 1:   three difficulties
  122.    wt: 1:   teaching tutoring algebraic reason
  123.    wt: 1:   Lessening Algebra Difficulties
  124.    wt: 1:   the trouble with algebra
  125.    wt: 1:   04 29 New Mathematics Curriculum
  126.    wt: 1:   04 25 when to stop or suspend mathemat
  127.    wt: 1:   standards for course material
  128.    wt: 1:   three kinds of reason in mathematics
  129.    wt: 1:   Four ways to improve education reform
  130.    wt: 1:   need for a mixed mathematics curriculum
  131.    wt: 1:   fairness and inductive principles for instruction
  132.    wt: 1:   words for mathematics instructor
  133.    wt: 1:   chapitre 12 00 les iles et division
  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:   8 Distance Between Points on a Line
  227.    wt: 1:   2 Cartesian Coordinates with signs
  228.    wt: 1:   PS H Distributive Law For Complex Numbers
  229.    wt: 1:   21 Parallelograms
  230.    wt: 1:   12 Side Angle Side Failure
  231.    wt: 1:   2 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:   3 Geometric Formulas and Function Notation
  260.    wt: 1:   2 Computation Rules Evaluation
  261.    wt: 1:   1 Formulas Dependence and Function Notation
  262.    wt: 1:   2 GE II Comparison
  263.    wt: 1:   6 Algebraic Solution Example
  264.    wt: 1:   5 Algebraic Solutions Introduction
  265.    wt: 1:   9 Three Examples
  266.    wt: 1:   6 Three Examples
  267.    wt: 1:   5 Three Examples
  268.    wt: 1:   Using Letters for Physical Quantities
  269.    wt: 1:   13 Naming Identifying Formulas with Words
  270.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  271.    wt: 1:   8 Compound Interest Formula Evaluation
  272.    wt: 1:   7 Compound Interest Formula Introduction
  273.    wt: 1:   5 Box Volume Formula Example
  274.    wt: 1:   4 Circle Area Formula Example
  275.    wt: 1:   3 Triangle Area Formula Example
  276.    wt: 1:   2 Venn Diagrams
  277.    wt: 1:   6 Three Notions of What is a Variable
  278.    wt: 1:   4 A Brief Story of numbers and algebra
  279.    wt: 1:   2 What is a Variable
  280.    wt: 1:   arithmetic videos Real Player Format
  281.    wt: 1:   2 More and Less Than with Unlike Signs
  282.    wt: 1:   1 More and Less Than for Counts and Measures
  283.    wt: 1:   2 Square Roots with Prime
  284.    wt: 1:   2 Least Common Multiple LCM intro via list method
  285.    wt: 1:   2 Counting with Tables and Trees I
  286.    wt: 1:   4 signed coordinates for regions in space
  287.    wt: 1:   3 signed coordinates for maps and planes
  288.    wt: 1:   2 signed and unsigned numbers as coordinates
  289.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  290.    wt: 1:   2 Equality and Units
  291.    wt: 1:   D Three Term Ratios
  292.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  293.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  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:   Example 1. Area Between x and x squared
  348.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  349.    wt: 1:   Example 2
  350.    wt: 1:   Area Between Curves Lesson Take 1
  351.    wt: 1:   2 Indefinite Integrals Exercises
  352.    wt: 1:   2 Second derivative test prequel
  353.    wt: 1:   29 Chain Rule Optional Reading
  354.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  355.    wt: 1:   26 Chain Rule Recognising outer inner functions
  356.    wt: 1:   25 Chain Rule Animated Examples Continued
  357.    wt: 1:   24 Chain Rule Animated Examples
  358.    wt: 1:   23 Chain Rule in general
  359.    wt: 1:   19 Chain Rule for linear functions
  360.    wt: 1:   14 sine and cosine derivatives 2nd step
  361.    wt: 1:   12 Quotient rule examples
  362.    wt: 1:   10 Power rule for negative integers
  363.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  364.    wt: 1:   11 Limits at infinity Three Examples
  365.    wt: 1:   10 Three one sided limits with infinite values
  366.    wt: 1:   3 Decimal insights for limits continuity convergence
  367.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  368.    wt: 1:   F.2 Closed Range Theorem
  369.    wt: 1:   D2 Limits of Monotone Sequences
  370.    wt: 1:   PostScript For and Against Decimal Perspectives
  371.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  372.    wt: 1:   Chapter 23 Links To Trigonometry
  373.    wt: 1:   Chapter 21 Arrow Addition
  374.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  375.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  376.    wt: 1:   Chapter 12. Units and Slopes
  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 29 Contrapositive and Vacuously True Implications
  382.    wt: 1:   Chapter 28 Occurrence Tables
  383.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  384.    wt: 1:   Chapter 25. Mathematical Induction Examples
  385.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  386.    wt: 1:   Chapter 21. Third Reading Guide
  387.    wt: 1:   Chapter 20. Degrees and Radians
  388.    wt: 1:   Chapter 12. Shorthand Usage Guide
  389.    wt: 1:   Solutions For Arithmetic Exercises
  390.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  391.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  392.    wt: 1:   Foreword
  393.    wt: 1:   Postscript A Three Remarks
  394.    wt: 1:   Chapter 12 Four Phases
  395.    wt: 1:   Chapter 3 Algebra Difficulties
  396.    wt: 1:   Foreword
  397.    wt: 1:   Postscript C Consistency as a Tool for Reason
  398.    wt: 1:   Chapter 24 Direct and Indirect Reason
  399.    wt: 1:   Chapter 23 Truth Tables
  400.    wt: 1:   Chapter 21 Occurrence Tables
  401.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  402.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  403.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  404.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  405.    wt: 1:   Chapter 2 Skill Development
  406.    wt: 1:   Three Remarks
  407.    wt: 1:   Foreword
  408.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  409.    wt: 1:   S Adding words to algebra
  410.    wt: 1:   R Why Learn Mathematics Skills
  411.    wt: 1:   N Mathematics Prepare for College Studies
  412.    wt: 1:   L Skills with take home value
  413.    wt: 1:   I. Logic and language skills
  414.    wt: 1:   How to Build Skills and Confidence
  415.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  416.    wt: 1:   Chapter 6 More Algebra and Geometry
  417.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  418.    wt: 1:   Chapter 3 Algebra Starter Lessons
  419.    wt: 1:   Chapter 2 Why Sets
  420.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  421.    wt: 1:   7 Games and Activities for Instruction
  422.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  423.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  424.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  425.    wt: 1:   More Algebra and Slope based Calculus Preview
  426.    wt: 1:   Systematic Algebra Skill Development Missing Links
  427.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  428.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  429.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  430.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  431.    wt: 1:   The Math Forum and Site Content

Extended Search

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