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

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

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

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

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

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

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

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55 matches:

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

Web Page Search

434 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 3:   02 21 words for teachers
  5.    wt: 3:   26 Formulas for products of sines and cosines
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   4 Equations for lines three forms
  9.    wt: 3:   12 GCD 2700 288 via Prime
  10.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  11.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  12.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  13.    wt: 3:   22 Chain Rule for polynomials
  14.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  15.    wt: 2:   Skills Chapter 4 Logic
  16.    wt: 2:   Skills Chapter 3 Algebra
  17.    wt: 2:   Skills Chapter 2 Geometry
  18.    wt: 2:   three goals to set for students
  19.    wt: 2:   geometric implications for algebra
  20.    wt: 2:   three goals for Mathematics Education
  21.    wt: 2:   02 20 mathematics education references
  22.    wt: 2:   three aims for mathematics students
  23.    wt: 2:   formal or informal peer review
  24.    wt: 2:   Prequel In For A Penny In For A Pound
  25.    wt: 2:   2 Conductance Resistance Duality02
  26.    wt: 2:   C Electromotive force conventional current02
  27.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  28.    wt: 2:   24 Standards For Skill Develoment Take II
  29.    wt: 2:   24 Standards For Skill Develoment
  30.    wt: 2:   22 Student Centered Highschool Mathematics
  31.    wt: 2:   12 Goals and Objectives For Mathematics
  32.    wt: 2:   2 Reading and Writing Skills
  33.    wt: 2:   Ages 12 to 14 Skills with take home value
  34.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  35.    wt: 2:   22 Square Root function graphically
  36.    wt: 2:   5 Function notation for geometric transformations
  37.    wt: 2:   2 Algebraic use of function notation
  38.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  39.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  40.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  41.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  42.    wt: 2:   12 motivation for term arctan
  43.    wt: 2:   29 secant cosecant and cotangent for acute angles
  44.    wt: 2:   25 tangent double angle formula Slope connection
  45.    wt: 2:   24 tangent Angle Difference Formula
  46.    wt: 2:   21 sine and cosine Half Angle Formulas
  47.    wt: 2:   20 sine and cosine Double Angle Formulas
  48.    wt: 2:   17E Trig Formulas for dot and cross Products
  49.    wt: 2:   17D cis formulas for sine cosines and tangent
  50.    wt: 2:   12 Graph of tangent function for one period
  51.    wt: 2:   13 Trig Formulas for dot and cross Products
  52.    wt: 2:   2 point slope equation for a line
  53.    wt: 2:   22 Multiplication of Signed Numbers
  54.    wt: 2:   2 Combing Counts Addition Skills and Principles
  55.    wt: 2:   2 Algebraic View
  56.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  57.    wt: 2:   2 More and Less Than for Counts and Measures
  58.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  59.    wt: 2:   2 Essentially one exercises three with solution
  60.    wt: 2:   2 Three Examples
  61.    wt: 2:   2 Three Examples
  62.    wt: 2:   Formula Usage Show Work Format
  63.    wt: 2:   2 Another Rectangle Area Formula Example
  64.    wt: 2:   1 Written work formats for developing and showing skill
  65.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  66.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  67.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  68.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  69.    wt: 2:   22 Complex Compound Fractions
  70.    wt: 2:   21 Reciprocals for Fractions and Wholes
  71.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  72.    wt: 2:   26 Divisibility by 2 3 5 Example
  73.    wt: 2:   23 Remainder Arithmetic Modulo 2
  74.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  75.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  76.    wt: 2:   Long Division forwards and backwards Example 2
  77.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  78.    wt: 2:   9 22 Minute Subtraction Review Video
  79.    wt: 2:   38 Formulas and derivatives for powers and roots
  80.    wt: 2:   28 Chain Rule Preparation for a Proof
  81.    wt: 2:   21 Chain Rule for powers
  82.    wt: 2:   20 Chain Rule for Pulley Systems
  83.    wt: 2:   3 Motivation for Limit Definition Take 2
  84.    wt: 2:   2 Motivation for Limit Definition Take 1
  85.    wt: 2:   2 Algebraic codification
  86.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  87.    wt: 2:   E2 Algebraic Properties of Limits
  88.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  89.    wt: 2:   Chapter 22 Complex Numbers
  90.    wt: 2:   Postscript For Better Performance
  91.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  92.    wt: 2:   Chapter 23. Notation For Sums
  93.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  94.    wt: 2:   Chapter 18. Rules for Algebra
  95.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  96.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  97.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  98.    wt: 2:   Chapter 2 For and Against Mathematics
  99.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  100.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  101.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  102.    wt: 2:   I. Logic and language skills
  103.    wt: 2:   G. Written work formats for developing and showing skill
  104.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  105.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  106.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  107.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  108.    wt: 1:   Appendix 2 primary school Arithmetic 01
  109.    wt: 1:   G LAMP Introduction Problem Solving Skills
  110.    wt: 1:   Skills Chapter 5 Calculus
  111.    wt: 1:   Ramblings Introduction Algebra Essay
  112.    wt: 1:   Skills Chapter 1 Arithmetic
  113.    wt: 1:   Skills Chapter 0 Introduction
  114.    wt: 1:   7 logic review and decimals an odd combination
  115.    wt: 1:   4 algebra
  116.    wt: 1:   2 arithmetic with signed numbers
  117.    wt: 1:   permissions for teachers
  118.    wt: 1:   Applied Maths Program14092009 POMME variant
  119.    wt: 1:   activities for students
  120.    wt: 1:   Postscript 2007 01 10
  121.    wt: 1:   Education Reform Inconsistencies
  122.    wt: 1:   Secondary Three Mathematics
  123.    wt: 1:   talk the algebra talk
  124.    wt: 1:   three difficulties
  125.    wt: 1:   teaching tutoring algebraic reason
  126.    wt: 1:   Lessening Algebra Difficulties
  127.    wt: 1:   the trouble with algebra
  128.    wt: 1:   04 29 New Mathematics Curriculum
  129.    wt: 1:   04 25 when to stop or suspend mathemat
  130.    wt: 1:   standards for course material
  131.    wt: 1:   three kinds of reason in mathematics
  132.    wt: 1:   Four ways to improve education reform
  133.    wt: 1:   need for a mixed mathematics curriculum
  134.    wt: 1:   fairness and inductive principles for instruction
  135.    wt: 1:   words for mathematics instructor
  136.    wt: 1:   chapitre 12 00 les iles et division
  137.    wt: 1:   chapitre 04 02 Deuxieme enigme
  138.    wt: 1:   chapitre 02 00 La Communication des idees
  139.    wt: 1:   2 Energy Power Heat07
  140.    wt: 1:   B Energy Power02
  141.    wt: 1:   D Wire Resistance Calculation02
  142.    wt: 1:   B Wire Resistance Qualitative02
  143.    wt: 1:   2 Unlike resistors in parallel01
  144.    wt: 1:   H Series Circuit02
  145.    wt: 1:   D Kirchoff First Law
  146.    wt: 1:   B Electromotive force conventional current01
  147.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  148.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  149.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  150.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  151.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  152.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  153.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  154.    wt: 1:   17 Math Booklets for children and young teenagers
  155.    wt: 1:   15 Counting For Parents
  156.    wt: 1:   10 Ends values for work study instruction
  157.    wt: 1:   5 Patience Please for Yourself and Your Charges
  158.    wt: 1:   4 Learning Takes Time and Effort
  159.    wt: 1:   3 Preparing for Science Studies
  160.    wt: 1:   1 Speaking Skills
  161.    wt: 1:   Ages 12 to 14 Geometry
  162.    wt: 1:   Ages 12 to 14 Arithmetic
  163.    wt: 1:   Ages 10 to 12 Geometry
  164.    wt: 1:   Ages 10 to 12 Arithmetic
  165.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  166.    wt: 1:   sign monoticity analysis example 2
  167.    wt: 1:   26 Function definitions done and coming
  168.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  169.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  170.    wt: 1:   23 Inverse Functions
  171.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  172.    wt: 1:   20 Interchanging coordinates a reflection
  173.    wt: 1:   12 Function Domain Recognition Exercises
  174.    wt: 1:   6 Set Existence Formation and Notation
  175.    wt: 1:   3 Formula or function graphing exercise
  176.    wt: 1:   8 quadratics backward use of various formulas
  177.    wt: 1:   7 quadratic formulla derivation
  178.    wt: 1:   2 quadratics graphing in general
  179.    wt: 1:   2 Square Root Simplification a prequel
  180.    wt: 1:   8 Notes for instructors or tutors
  181.    wt: 1:   2 Column Multiplication Method
  182.    wt: 1:   Rewriting algebraic substitution as function substitutions
  183.    wt: 1:   9 motivation for name arcsin
  184.    wt: 1:   4 possible motivation for term arccos
  185.    wt: 1:   2 cosine function more properties
  186.    wt: 1:   2 Radian Measure Numerical Value of one degree
  187.    wt: 1:   12 From Applied To Pure Mathematics
  188.    wt: 1:   2 Signed Coordinates
  189.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  190.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  191.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  192.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  193.    wt: 1:   12 Straight Lines Graphing mx plus b
  194.    wt: 1:   8 Straight Lines Equation for vertical
  195.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  196.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  197.    wt: 1:   17 tangent function angle sum formulas
  198.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  199.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  200.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  201.    wt: 1:   32 seven rows of pascals triangle
  202.    wt: 1:   28 Expressing products of sines cosines as sums
  203.    wt: 1:   27 Logarithmic use of products of sines and cosines
  204.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  205.    wt: 1:   17C sine and cosine double triple angle formulas
  206.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  207.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  208.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  209.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  210.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  211.    wt: 1:   2 Quadrant I reference Angles
  212.    wt: 1:   21 Logarithms Powers and Exponentials
  213.    wt: 1:   20 N th Roots of Complex Numbers
  214.    wt: 1:   11 sine and cosine double triple angle formulas
  215.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  216.    wt: 1:   2 Complex Numbers made easier we hope
  217.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  218.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  219.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  220.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  221.    wt: 1:   12 Triangles Similarity More Problems
  222.    wt: 1:   2 Similarity By Design
  223.    wt: 1:   12 Links Lessons elsewhere
  224.    wt: 1:   8 Mid Point Formula
  225.    wt: 1:   5 Algebraic View of Slopes
  226.    wt: 1:   3 Slope product for perpendicular lines
  227.    wt: 1:   13 Pythagorean spatial distance formulas
  228.    wt: 1:   12 Spatial Coordinates
  229.    wt: 1:   10 Pythagorean plane distance formula
  230.    wt: 1:   2 Cartesian Coordinates with signs
  231.    wt: 1:   PS H Distributive Law For Complex Numbers
  232.    wt: 1:   21 Parallelograms
  233.    wt: 1:   12 Side Angle Side Failure
  234.    wt: 1:   2 Correspondence between Triangles
  235.    wt: 1:   2 Measuring Area Directly
  236.    wt: 1:   26 More Less Greater Than Comparison
  237.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  238.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  239.    wt: 1:   23 Distributive Law Two Derivations
  240.    wt: 1:   21 Addition of Multiples of a Single Vector
  241.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  242.    wt: 1:   12 Real Numbers Line Signed Coordinates
  243.    wt: 1:   2 Counting Digits in Decimal Multiplication
  244.    wt: 1:   C Three Decimal Subtraction Methods
  245.    wt: 1:   6 Column Methods for Decimal Multiplication
  246.    wt: 1:   5 Distributive Law for Whole Numbers
  247.    wt: 1:   4 Commutative Law Groups Counting Form
  248.    wt: 1:   3 Multiplicative Counting Skills Principles
  249.    wt: 1:   3 Inequalities Algebraically
  250.    wt: 1:   2 Fraction Operations Physical Development
  251.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  252.    wt: 1:   6 Compound Interest Forward and Backwards
  253.    wt: 1:   5 Triangle Area Formula Backwards
  254.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  255.    wt: 1:   2 Linear Equation Literal Solution
  256.    wt: 1:   5 Equality in Algebra
  257.    wt: 1:   3 Product Axioms Two Forms
  258.    wt: 1:   2 Addition and Multiplication Axioms
  259.    wt: 1:   12 Real Number Additive Inverses or Negatives
  260.    wt: 1:   9 Coordinates for Regions in Space
  261.    wt: 1:   8 Coordinates for Maps and Planes
  262.    wt: 1:   2 Integers
  263.    wt: 1:   3 Geometric Formulas and Function Notation
  264.    wt: 1:   2 Computation Rules Evaluation
  265.    wt: 1:   1 Formulas Dependence and Function Notation
  266.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  267.    wt: 1:   2 GE II Comparison
  268.    wt: 1:   6 Algebraic Solution Example
  269.    wt: 1:   5 Algebraic Solutions Introduction
  270.    wt: 1:   9 Three Examples
  271.    wt: 1:   6 Three Examples
  272.    wt: 1:   5 Three Examples
  273.    wt: 1:   Using Letters for Physical Quantities
  274.    wt: 1:   13 Naming Identifying Formulas with Words
  275.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  276.    wt: 1:   8 Compound Interest Formula Evaluation
  277.    wt: 1:   7 Compound Interest Formula Introduction
  278.    wt: 1:   5 Box Volume Formula Example
  279.    wt: 1:   4 Circle Area Formula Example
  280.    wt: 1:   3 Triangle Area Formula Example
  281.    wt: 1:   2 Venn Diagrams
  282.    wt: 1:   6 Three Notions of What is a Variable
  283.    wt: 1:   4 A Brief Story of numbers and algebra
  284.    wt: 1:   2 What is a Variable
  285.    wt: 1:   arithmetic videos Real Player Format
  286.    wt: 1:   2 More and Less Than with Unlike Signs
  287.    wt: 1:   1 More and Less Than for Counts and Measures
  288.    wt: 1:   2 Square Roots with Prime
  289.    wt: 1:   2 Least Common Multiple LCM intro via list method
  290.    wt: 1:   2 Counting with Tables and Trees I
  291.    wt: 1:   4 signed coordinates for regions in space
  292.    wt: 1:   3 signed coordinates for maps and planes
  293.    wt: 1:   2 signed and unsigned numbers as coordinates
  294.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  295.    wt: 1:   2 Equality and Units
  296.    wt: 1:   D Three Term Ratios
  297.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  298.    wt: 1:   21 Working With Signs
  299.    wt: 1:   20 Dividing Fractions the Why
  300.    wt: 1:   13 Fraction Comparison Algebraic View
  301.    wt: 1:   12 Fraction Comparison
  302.    wt: 1:   11 Simplification an Algebraic View
  303.    wt: 1:   6 Multiplication Algebraically Take II
  304.    wt: 1:   2 Unit Fraction Multiplication
  305.    wt: 1:   12 Adding Integers More Examples
  306.    wt: 1:   11 Adding Integers Formulas and Examples
  307.    wt: 1:   10 Integer Multiplication Formulas
  308.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  309.    wt: 1:   21 Remainder Arithmetic Modulo 3
  310.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  311.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  312.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  313.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  314.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  315.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  316.    wt: 1:   20 Uniqueness of Prime Factorization
  317.    wt: 1:   15 video Factors of 20 using Prime Factorization
  318.    wt: 1:   14 video Factors of 24 Take II
  319.    wt: 1:   13 video Factors of 24 using prime
  320.    wt: 1:   12 LCD GCD and LCM using Primes
  321.    wt: 1:   10 video Prime Factorization upto 23 squared
  322.    wt: 1:   2 Prime and Composites less than 16
  323.    wt: 1:   Long Division forwards and backwards Example 3
  324.    wt: 1:   Long Division forwards and backwards Example 1
  325.    wt: 1:   12 Why Long Division Works Take III
  326.    wt: 1:   4 Division with 2 Digit Divsors
  327.    wt: 1:   2 Division with Single Digit Divisors
  328.    wt: 1:   A Elementary Basis for Multiplication Methods
  329.    wt: 1:   4 Two and Three Digit Multipliers
  330.    wt: 1:   2 One Digit Multipliers
  331.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  332.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  333.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  334.    wt: 1:   5 A Tip for Efficent Subtraction
  335.    wt: 1:   2 Subtraction Easy Case Examples
  336.    wt: 1:   8 What skills and work habits to require
  337.    wt: 1:   2 Decimal Counting Practices
  338.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  339.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  340.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  341.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  342.    wt: 1:   Quick history of numbers and algebra
  343.    wt: 1:   Formula Evaluation how to show work
  344.    wt: 1:   The 20 Times Table
  345.    wt: 1:   The 12 Times Table Visually
  346.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  347.    wt: 1:   012 Division of Time Intervals by Time Intervals
  348.    wt: 1:   2 Time and Date Matters in School
  349.    wt: 1:   1 Intro of Kids To Time Date Skills
  350.    wt: 1:   Example 2 volume of a cone
  351.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  352.    wt: 1:   Example 2
  353.    wt: 1:   Area Between Curves Lesson Take 2
  354.    wt: 1:   2 Indefinite Integrals Exercises
  355.    wt: 1:   2 Second derivative test prequel
  356.    wt: 1:   29 Chain Rule Optional Reading
  357.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  358.    wt: 1:   26 Chain Rule Recognising outer inner functions
  359.    wt: 1:   25 Chain Rule Animated Examples Continued
  360.    wt: 1:   24 Chain Rule Animated Examples
  361.    wt: 1:   23 Chain Rule in general
  362.    wt: 1:   19 Chain Rule for linear functions
  363.    wt: 1:   14 sine and cosine derivatives 2nd step
  364.    wt: 1:   12 Quotient rule examples
  365.    wt: 1:   10 Power rule for negative integers
  366.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  367.    wt: 1:   11 Limits at infinity Three Examples
  368.    wt: 1:   10 Three one sided limits with infinite values
  369.    wt: 1:   3 Decimal insights for limits continuity convergence
  370.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  371.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  372.    wt: 1:   F.2 Closed Range Theorem
  373.    wt: 1:   D2 Limits of Monotone Sequences
  374.    wt: 1:   PostScript For and Against Decimal Perspectives
  375.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  376.    wt: 1:   Chapter 23 Links To Trigonometry
  377.    wt: 1:   Chapter 21 Arrow Addition
  378.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  379.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  380.    wt: 1:   Chapter 12. Units and Slopes
  381.    wt: 1:   Chapter 9 About First Courses in Calculus
  382.    wt: 1:   Chapter 2. Slopes and Ski Trails
  383.    wt: 1:   Foreword
  384.    wt: 1:   Postscript More on Better Performance
  385.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  386.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  387.    wt: 1:   Chapter 28 Occurrence Tables
  388.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  389.    wt: 1:   Chapter 25. Mathematical Induction Examples
  390.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  391.    wt: 1:   Chapter 21. Third Reading Guide
  392.    wt: 1:   Chapter 20. Degrees and Radians
  393.    wt: 1:   Chapter 12. Shorthand Usage Guide
  394.    wt: 1:   Solutions For Arithmetic Exercises
  395.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  396.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  397.    wt: 1:   Foreword
  398.    wt: 1:   Postscript A Three Remarks
  399.    wt: 1:   Chapter 12 Four Phases
  400.    wt: 1:   Chapter 3 Algebra Difficulties
  401.    wt: 1:   Foreword
  402.    wt: 1:   Postscript C Consistency as a Tool for Reason
  403.    wt: 1:   Chapter 24 Direct and Indirect Reason
  404.    wt: 1:   Chapter 23 Truth Tables
  405.    wt: 1:   Chapter 21 Occurrence Tables
  406.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  407.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  408.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  409.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  410.    wt: 1:   Chapter 2 Skill Development
  411.    wt: 1:   Three Remarks
  412.    wt: 1:   Foreword
  413.    wt: 1:   S Adding words to algebra
  414.    wt: 1:   R Why Learn Mathematics Skills
  415.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  416.    wt: 1:   N Mathematics Prepare for College Studies
  417.    wt: 1:   L Skills with take home value
  418.    wt: 1:   H Jigsaw puzzles and problem solving
  419.    wt: 1:   How to Build Skills and Confidence
  420.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  421.    wt: 1:   Chapter 6 More Algebra and Geometry
  422.    wt: 1:   Chapter 3 Algebra Starter Lessons
  423.    wt: 1:   Chapter 2 Why Sets
  424.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  425.    wt: 1:   7 Games and Activities for Instruction
  426.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  427.    wt: 1:   Helping the Blind in Logic and Mathematics
  428.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  429.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  430.    wt: 1:   More Algebra and Slope based Calculus Preview
  431.    wt: 1:   Systematic Algebra Skill Development Missing Links
  432.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  433.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  434.    wt: 1:   The Math Forum and Site Content

Extended Search

896 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 9:   Chapter 23. Notation For Sums
  4.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  5.    wt: 8:   Postscript For Better Performance
  6.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  7.    wt: 8:   Chapter 28 Occurrence Tables
  8.    wt: 8:   Chapter 27 Shorthand Symbols as Pronouns
  9.    wt: 8:   Chapter 25. Mathematical Induction Examples
  10.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  11.    wt: 8:   Chapter 21. Third Reading Guide
  12.    wt: 8:   Chapter 20. Degrees and Radians
  13.    wt: 8:   Chapter 18. Rules for Algebra
  14.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  15.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  16.    wt: 8:   Chapter 12. Shorthand Usage Guide
  17.    wt: 7:   6 Algebraic Solution Example
  18.    wt: 7:   5 Algebraic Solutions Introduction
  19.    wt: 7:   2 Another Rectangle Area Formula Example
  20.    wt: 7:   1 Written work formats for developing and showing skill
  21.    wt: 7:   Postscript More on Better Performance
  22.    wt: 7:   Appendix B. How To Learn
  23.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  24.    wt: 7:   Solutions For Arithmetic Exercises
  25.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  26.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  27.    wt: 7:   Foreword
  28.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  29.    wt: 6:   2 Algebraic View
  30.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  31.    wt: 6:   2 Essentially one exercises three with solution
  32.    wt: 6:   4 Four Examples Fractional Coefficients
  33.    wt: 6:   3 Four Examples
  34.    wt: 6:   1 Proper Equal Sign Usage
  35.    wt: 6:   13 Naming Identifying Formulas with Words
  36.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  37.    wt: 6:   8 Compound Interest Formula Evaluation
  38.    wt: 6:   7 Compound Interest Formula Introduction
  39.    wt: 6:   5 Box Volume Formula Example
  40.    wt: 6:   4 Circle Area Formula Example
  41.    wt: 6:   3 Triangle Area Formula Example
  42.    wt: 6:   1 Three Skills For Algebra
  43.    wt: 6:   Long Division forwards and backwards Example 2
  44.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  45.    wt: 6:   9 22 Minute Subtraction Review Video
  46.    wt: 6:   2 Subtraction Easy Case Examples
  47.    wt: 6:   Appendix E. How To Study Mathematics and Why
  48.    wt: 6:   Appendix D. What to do in School and Why
  49.    wt: 6:   Appendix C. How to Read
  50.    wt: 6:   Chapter 31 Direct and Indirect Reason
  51.    wt: 6:   Chapter 30 Truth Tables
  52.    wt: 6:   Chapter 19. Functions and Sets
  53.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  54.    wt: 6:   Chapter 16. Painless Theorem Proving
  55.    wt: 6:   Chapter 15. Solving Linear Equations
  56.    wt: 6:   Chapter 13. Second Reading Guide
  57.    wt: 6:   Chapter 11. Why Shorthand
  58.    wt: 6:   Chapter 10 Describing and Changing Calculations
  59.    wt: 6:   Postscript What is a Variable
  60.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  61.    wt: 6:   Chapter 6 Change of Language
  62.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  63.    wt: 6:   Chapter 4 Longer Chains of Reason
  64.    wt: 6:   Chapter 3 Chains of Reason
  65.    wt: 5:   22 Square Root function graphically
  66.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  67.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  68.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  69.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  70.    wt: 5:   2 Square Root Simplification a prequel
  71.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  72.    wt: 5:   2 Combing Counts Addition Skills and Principles
  73.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  74.    wt: 5:   6 Compound Interest Forward and Backwards
  75.    wt: 5:   5 Triangle Area Formula Backwards
  76.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  77.    wt: 5:   2 Linear Equation Literal Solution
  78.    wt: 5:   2 Three Examples
  79.    wt: 5:   11 Volume of Sphere
  80.    wt: 5:   10 Volume of Pyramid
  81.    wt: 5:   9 Volume of Cone
  82.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  83.    wt: 5:   2 More and Less Than with Unlike Signs
  84.    wt: 5:   Long Division forwards and backwards Example 3
  85.    wt: 5:   12 Why Long Division Works Take III
  86.    wt: 5:   2 Division with Single Digit Divisors
  87.    wt: 5:   2 One Digit Multipliers
  88.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  89.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  90.    wt: 5:   Video Power Notation in Decimal Expansion
  91.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  92.    wt: 5:   5 A Tip for Efficent Subtraction
  93.    wt: 5:   2 Decimal Counting Practices
  94.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  95.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  96.    wt: 4:   three goals for Mathematics Education
  97.    wt: 4:   02 21 words for teachers
  98.    wt: 4:   22 Student Centered Highschool Mathematics
  99.    wt: 4:   Ages 12 to 14 Skills with take home value
  100.    wt: 4:   2 Algebraic use of function notation
  101.    wt: 4:   26 Formulas for products of sines and cosines
  102.    wt: 4:   12 cis formulas for sine cosines and tangent
  103.    wt: 4:   PS H Distributive Law For Complex Numbers
  104.    wt: 4:   PS B Parallelogram Construction Methods
  105.    wt: 4:   21 Parallelograms
  106.    wt: 4:   12 Side Angle Side Failure
  107.    wt: 4:   2 Correspondence between Triangles
  108.    wt: 4:   22 Multiplication of Signed Numbers
  109.    wt: 4:   21 Addition of Multiples of a Single Vector
  110.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  111.    wt: 4:   12 Real Numbers Line Signed Coordinates
  112.    wt: 4:   3 Inequalities Algebraically
  113.    wt: 4:   2 Fraction Operations Physical Development
  114.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  115.    wt: 4:   3 Linear Equation Literal Solution More
  116.    wt: 4:   1 Changing Calculations
  117.    wt: 4:   5 Equality in Algebra
  118.    wt: 4:   3 Product Axioms Two Forms
  119.    wt: 4:   2 Addition and Multiplication Axioms
  120.    wt: 4:   2 More and Less Than for Counts and Measures
  121.    wt: 4:   12 Real Number Additive Inverses or Negatives
  122.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  123.    wt: 4:   2 GE II Comparison
  124.    wt: 4:   Formula Usage Show Work Format
  125.    wt: 4:   1 More and Less Than for Counts and Measures
  126.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  127.    wt: 4:   12 GCD 2700 288 via Prime
  128.    wt: 4:   22 Complex Compound Fractions
  129.    wt: 4:   21 Reciprocals for Fractions and Wholes
  130.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  131.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  132.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  133.    wt: 4:   20 Uniqueness of Prime Factorization
  134.    wt: 4:   12 LCD GCD and LCM using Primes
  135.    wt: 4:   2 Prime and Composites less than 16
  136.    wt: 4:   Long Division Backwards more
  137.    wt: 4:   Long Division Backward
  138.    wt: 4:   Long Division forwards and backwards Example 1
  139.    wt: 4:   4 Division with 2 Digit Divsors
  140.    wt: 4:   A Elementary Basis for Multiplication Methods
  141.    wt: 4:   4 Two and Three Digit Multipliers
  142.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  143.    wt: 4:   Subtraction with J Conversions Example
  144.    wt: 4:   Subtraction Another Video Lesson
  145.    wt: 4:   8 Subtraction with Units of Measure
  146.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  147.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  148.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  149.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  150.    wt: 4:   8 What skills and work habits to require
  151.    wt: 4:   22 Chain Rule for polynomials
  152.    wt: 4:   21 Chain Rule for powers
  153.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  154.    wt: 4:   Chapter 22 Complex Numbers
  155.    wt: 4:   Chapter 2 For and Against Mathematics
  156.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  157.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  158.    wt: 3:   Skills Chapter 2 Geometry
  159.    wt: 3:   2 arithmetic with signed numbers
  160.    wt: 3:   geometric implications for algebra
  161.    wt: 3:   Lessening Algebra Difficulties
  162.    wt: 3:   the trouble with algebra
  163.    wt: 3:   02 20 mathematics education references
  164.    wt: 3:   three aims for mathematics students
  165.    wt: 3:   Prequel In For A Penny In For A Pound
  166.    wt: 3:   B Energy Power02
  167.    wt: 3:   2 Conductance Resistance Duality02
  168.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  169.    wt: 3:   24 Standards For Skill Develoment Take II
  170.    wt: 3:   24 Standards For Skill Develoment
  171.    wt: 3:   12 Goals and Objectives For Mathematics
  172.    wt: 3:   2 Reading and Writing Skills
  173.    wt: 3:   Ages 12 to 14 Geometry
  174.    wt: 3:   Ages 12 to 14 Arithmetic
  175.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  176.    wt: 3:   sign monoticity analysis example 2
  177.    wt: 3:   26 Function definitions done and coming
  178.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  179.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  180.    wt: 3:   23 Inverse Functions
  181.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  182.    wt: 3:   20 Interchanging coordinates a reflection
  183.    wt: 3:   12 Function Domain Recognition Exercises
  184.    wt: 3:   5 Function notation for geometric transformations
  185.    wt: 3:   11 Growth and Decay in Biology
  186.    wt: 3:   10 Exponential Growth and Decay Models
  187.    wt: 3:   5 Natural Logarithm Calculator Exercises
  188.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  189.    wt: 3:   1 Calculator Starter Exercises
  190.    wt: 3:   12 motivation for term arctan
  191.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  192.    wt: 3:   8 Straight Lines Equation for vertical
  193.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  194.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  195.    wt: 3:   29 secant cosecant and cotangent for acute angles
  196.    wt: 3:   25 tangent double angle formula Slope connection
  197.    wt: 3:   24 tangent Angle Difference Formula
  198.    wt: 3:   21 sine and cosine Half Angle Formulas
  199.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  200.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  201.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  202.    wt: 3:   4 Equations for lines three forms
  203.    wt: 3:   2 point slope equation for a line
  204.    wt: 3:   PS G Rotation Distributes over Addition
  205.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  206.    wt: 3:   PS E Multiplication with Polar Coordinates
  207.    wt: 3:   PS D Addition with Cartesian Coordinates
  208.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  209.    wt: 3:   PS A Kite Construction Methods
  210.    wt: 3:   26 More Less Greater Than Comparison
  211.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  212.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  213.    wt: 3:   23 Distributive Law Two Derivations
  214.    wt: 3:   19 Signed Multiples of Vectors
  215.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  216.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  217.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  218.    wt: 3:   15 Head to Tails in place Addition Associative
  219.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  220.    wt: 3:   13 Arrows and Vectors in a Plane
  221.    wt: 3:   11 Signed Number Addition and Addition Properties
  222.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  223.    wt: 3:   2 Counting Digits in Decimal Multiplication
  224.    wt: 3:   C Three Decimal Subtraction Methods
  225.    wt: 3:   6 Column Methods for Decimal Multiplication
  226.    wt: 3:   5 Distributive Law for Whole Numbers
  227.    wt: 3:   4 Commutative Law Groups Counting Form
  228.    wt: 3:   3 Multiplicative Counting Skills Principles
  229.    wt: 3:   5 Areas of Rectangles Revisited
  230.    wt: 3:   4 Fraction Operations Axiomatic Development
  231.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  232.    wt: 3:   5 Proportionality in Equivalent Fractions
  233.    wt: 3:   4 Rates Ratios and Proporitionality
  234.    wt: 3:   3 Proportionality Examples
  235.    wt: 3:   1 What is Proportionality
  236.    wt: 3:   6 Equations and Systems Equivalent or Implied
  237.    wt: 3:   4 Subtraction and Division Axioms
  238.    wt: 3:   1 Equivalent Computation Rules
  239.    wt: 3:   16 Real Numbers Comparison
  240.    wt: 3:   15 Real Number Division
  241.    wt: 3:   14 Real Number Multiplication
  242.    wt: 3:   13 Real Number Subtraction
  243.    wt: 3:   11 Real Number Addition
  244.    wt: 3:   10 Real Number Lengths and Signs
  245.    wt: 3:   9 Coordinates for Regions in Space
  246.    wt: 3:   8 Coordinates for Maps and Planes
  247.    wt: 3:   2 Integers
  248.    wt: 3:   3 Geometric Formulas and Function Notation
  249.    wt: 3:   2 Computation Rules Evaluation
  250.    wt: 3:   1 Formulas Dependence and Function Notation
  251.    wt: 3:   3 Gaussian Elimination 3 unknowns first example
  252.    wt: 3:   4 Solving a triangular system exercise
  253.    wt: 3:   3 Solving triangular system example
  254.    wt: 3:   1 Essentially One Unknown
  255.    wt: 3:   9 Three Examples
  256.    wt: 3:   6 Three Examples
  257.    wt: 3:   5 Three Examples
  258.    wt: 3:   Using Letters for Physical Quantities
  259.    wt: 3:   2 Venn Diagrams
  260.    wt: 3:   6 Three Notions of What is a Variable
  261.    wt: 3:   4 A Brief Story of numbers and algebra
  262.    wt: 3:   2 What is a Variable
  263.    wt: 3:   4 Greater More Less Than Signs in General
  264.    wt: 3:   3 Comparison of Negative Numbers
  265.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  266.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  267.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  268.    wt: 3:   3 signed coordinates for maps and planes
  269.    wt: 3:   2 signed and unsigned numbers as coordinates
  270.    wt: 3:   21 Working With Signs
  271.    wt: 3:   20 Dividing Fractions the Why
  272.    wt: 3:   2 Unit Fraction Multiplication
  273.    wt: 3:   12 Adding Integers More Examples
  274.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  275.    wt: 3:   26 Divisibility by 2 3 5 Example
  276.    wt: 3:   23 Remainder Arithmetic Modulo 2
  277.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  278.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  279.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  280.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  281.    wt: 3:   15 video Factors of 20 using Prime Factorization
  282.    wt: 3:   14 video Factors of 24 Take II
  283.    wt: 3:   13 video Factors of 24 using prime
  284.    wt: 3:   10 video Prime Factorization upto 23 squared
  285.    wt: 3:   Division with Counts and Length
  286.    wt: 3:   11 Another Single Digit Divisor Example
  287.    wt: 3:   10 Division by Five Long and Short Ways
  288.    wt: 3:   9 Why Long Division Works Take II
  289.    wt: 3:   8 Correcting the Mistake
  290.    wt: 3:   7 Long Divison Mistake Catching
  291.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  292.    wt: 3:   5 Long Division Include Zeroes or not
  293.    wt: 3:   3 Division Single Digit Divisor Example
  294.    wt: 3:   1 Divsion Physical Examples
  295.    wt: 3:   D Decimal Multiplication Methods Derived
  296.    wt: 3:   C Counting Areas with Powers of Ten
  297.    wt: 3:   B Powers of Ten
  298.    wt: 3:   6 Multiplication Commutes Order Not Important
  299.    wt: 3:   5 Decimal Fraction Multiplication
  300.    wt: 3:   3 More One Digit Multipliers
  301.    wt: 3:   1 Why 3 times 5 gives 15
  302.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  303.    wt: 3:   7 Adding decimal fractions using decimal point
  304.    wt: 3:   6. Counting and adding units and mixed units
  305.    wt: 3:   5. How to add decimals C. Examples
  306.    wt: 3:   4. How to add with decimals B with conversions
  307.    wt: 3:   3. How to add with decimals A sans conversions
  308.    wt: 3:   1. Explaining Addition Table
  309.    wt: 3:   The 20 Times Table
  310.    wt: 3:   38 Formulas and derivatives for powers and roots
  311.    wt: 3:   28 Chain Rule Preparation for a Proof
  312.    wt: 3:   20 Chain Rule for Pulley Systems
  313.    wt: 3:   10 Power rule for negative integers
  314.    wt: 3:   4 Sum Rule
  315.    wt: 3:   3 Motivation for Limit Definition Take 2
  316.    wt: 3:   2 Motivation for Limit Definition Take 1
  317.    wt: 3:   2 Algebraic codification
  318.    wt: 3:   Chapter 12 Four Phases
  319.    wt: 3:   Postscript C Consistency as a Tool for Reason
  320.    wt: 3:   Chapter 24 Direct and Indirect Reason
  321.    wt: 3:   Chapter 23 Truth Tables
  322.    wt: 3:   Chapter 21 Occurrence Tables
  323.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  324.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  325.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  326.    wt: 3:   Chapter 2 Skill Development
  327.    wt: 3:   Three Remarks
  328.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  329.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  330.    wt: 2:   Skills Chapter 4 Logic
  331.    wt: 2:   Skills Chapter 3 Algebra
  332.    wt: 2:   7 logic review and decimals an odd combination
  333.    wt: 2:   4 algebra
  334.    wt: 2:   three goals to set for students
  335.    wt: 2:   Applied Maths Program14092009 POMME variant
  336.    wt: 2:   Secondary Three Mathematics
  337.    wt: 2:   talk the algebra talk
  338.    wt: 2:   three difficulties
  339.    wt: 2:   teaching tutoring algebraic reason
  340.    wt: 2:   04 29 New Mathematics Curriculum
  341.    wt: 2:   04 25 when to stop or suspend mathemat
  342.    wt: 2:   formal or informal peer review
  343.    wt: 2:   three kinds of reason in mathematics
  344.    wt: 2:   fairness and inductive principles for instruction
  345.    wt: 2:   2 Energy Power Heat07
  346.    wt: 2:   C Electromotive force conventional current02
  347.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  348.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  349.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  350.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  351.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  352.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  353.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  354.    wt: 2:   Ages 10 to 12 Geometry
  355.    wt: 2:   Ages 10 to 12 Arithmetic
  356.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  357.    wt: 2:   6 Set Existence Formation and Notation
  358.    wt: 2:   3 Formula or function graphing exercise
  359.    wt: 2:   8 quadratics backward use of various formulas
  360.    wt: 2:   7 quadratic formulla derivation
  361.    wt: 2:   2 quadratics graphing in general
  362.    wt: 2:   8 Notes for instructors or tutors
  363.    wt: 2:   2 Column Multiplication Method
  364.    wt: 2:   Rewriting algebraic substitution as function substitutions
  365.    wt: 2:   12 From Applied To Pure Mathematics
  366.    wt: 2:   2 Signed Coordinates
  367.    wt: 2:   4 graphing y=Asin(x c)
  368.    wt: 2:   3 graphing y=f(x c) plus K
  369.    wt: 2:   1 graphing y=f(x a)
  370.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  371.    wt: 2:   C Straight Lines Slope from Coordinates
  372.    wt: 2:   B Straight Line Slope Scaling Properties More
  373.    wt: 2:   A Straight Line Slope Scaling Properties
  374.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  375.    wt: 2:   12 Straight Lines Graphing mx plus b
  376.    wt: 2:   11 Straight Lines Graphing y=mx
  377.    wt: 2:   7 Tangent Function is odd on this domain
  378.    wt: 2:   5 Tangent Function Graph
  379.    wt: 2:   4 Tangent Function Properties
  380.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  381.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  382.    wt: 2:   28 Expressing products of sines cosines as sums
  383.    wt: 2:   27 Logarithmic use of products of sines and cosines
  384.    wt: 2:   20 sine and cosine Double Angle Formulas
  385.    wt: 2:   17E Trig Formulas for dot and cross Products
  386.    wt: 2:   17D cis formulas for sine cosines and tangent
  387.    wt: 2:   12 Graph of tangent function for one period
  388.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  389.    wt: 2:   21 Logarithms Powers and Exponentials
  390.    wt: 2:   20 N th Roots of Complex Numbers
  391.    wt: 2:   13 Trig Formulas for dot and cross Products
  392.    wt: 2:   2 Complex Numbers made easier we hope
  393.    wt: 2:   8 Triangles Cascade Problem Solving
  394.    wt: 2:   7 Trignometric Ratios Unit Circle
  395.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  396.    wt: 2:   3 Trigonometric Ratios sine and cosine
  397.    wt: 2:   12 Triangles Similarity More Problems
  398.    wt: 2:   2 Similarity By Design
  399.    wt: 2:   12 Links Lessons elsewhere
  400.    wt: 2:   12 Spatial Coordinates
  401.    wt: 2:   2 Cartesian Coordinates with signs
  402.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  403.    wt: 2:   19 Right Triangle Similarity
  404.    wt: 2:   18 Triangle Similarity Take 1
  405.    wt: 2:   17 Right Bisectors of Triangle Sides
  406.    wt: 2:   16 Angles Subtended By Chords and Diameters
  407.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  408.    wt: 2:   14 Parallel Lines Postulate
  409.    wt: 2:   13 Angle Side Angle Failure
  410.    wt: 2:   11 Triangle Construction Fails
  411.    wt: 2:   10 Dropping a perpendicular to line
  412.    wt: 2:   9 Construction of a right bisector
  413.    wt: 2:   8 Isoceles Triangles
  414.    wt: 2:   7 Angle Side Angle
  415.    wt: 2:   6 Ruler and compass Angle Bisection
  416.    wt: 2:   5 Side Angle Side
  417.    wt: 2:   4 Side Side Side
  418.    wt: 2:   3 Isometry of Triangles Congruence
  419.    wt: 2:   1 Initial Concepts and Terms
  420.    wt: 2:   Short Course on Euclidean Geometry
  421.    wt: 2:   musings do not puiblish real numbers
  422.    wt: 2:   A Modular and Remainder Arithmetic
  423.    wt: 2:   A Signed Number Arithmetic Review
  424.    wt: 2:   9 Division with Digits after Decimal Point
  425.    wt: 2:   8 Division and Mulplication of Compound Fractions
  426.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  427.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  428.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  429.    wt: 2:   4 Location of Point in Decimal Addition
  430.    wt: 2:   3 Location of Point in Decimal Multiplication
  431.    wt: 2:   1 Fractions with Finite Decimal Expansions
  432.    wt: 2:   E Long Division Methods more
  433.    wt: 2:   D Long Division Methods
  434.    wt: 2:   B Decimal Comparison and Subtraction
  435.    wt: 2:   A Decimal Addition Columm Methods
  436.    wt: 2:   8 Column Multiplication Methods in General
  437.    wt: 2:   7 Decimals Multiplication Methods Examples
  438.    wt: 2:   1 The Counting Origins of Numbers
  439.    wt: 2:   5 Greater More Less Than Signs in General
  440.    wt: 2:   4 Comparison of Negative Numbers
  441.    wt: 2:   3 More and Less Than with Unlike Signs
  442.    wt: 2:   1 Real Numbers Comparison
  443.    wt: 2:   7 Real Numbers as Line Cordinates
  444.    wt: 2:   6 Unsigned Real Numbers
  445.    wt: 2:   5 Rational Numbers More
  446.    wt: 2:   4 Rational Numbers
  447.    wt: 2:   3 Fractions
  448.    wt: 2:   1 Whole and Natural Numbers
  449.    wt: 2:   5 Independent versus Dependent Variables
  450.    wt: 2:   4 Changing Letters
  451.    wt: 2:   More Exercises
  452.    wt: 2:   Simple Exercises
  453.    wt: 2:   4 GE III Animated Examples
  454.    wt: 2:   3 GE III Equation Addition and Multiplication
  455.    wt: 2:   1 GE Substitution four examples
  456.    wt: 2:   Skill Development Notes
  457.    wt: 2:   10 One Example
  458.    wt: 2:   8 One Example
  459.    wt: 2:   7 Two Examples
  460.    wt: 2:   4 Two Examples
  461.    wt: 2:   3 Two Examples
  462.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  463.    wt: 2:   9 Sets in Probability and Statistics
  464.    wt: 2:   8 Sets of Numbers
  465.    wt: 2:   7 Cautious or Safe Set Construction
  466.    wt: 2:   6 Power Set Notation
  467.    wt: 2:   5 Product Builder Notation
  468.    wt: 2:   4 Subset Builder Notation
  469.    wt: 2:   3 Counting with Sets etc
  470.    wt: 2:   1 Finite Sets
  471.    wt: 2:   5 Talking about Numbers and Quantities
  472.    wt: 2:   3 Adding Words To Arithmetic
  473.    wt: 2:   About Folder Contents
  474.    wt: 2:   arithmetic videos Real Player Format
  475.    wt: 2:   2 Square Roots with Prime
  476.    wt: 2:   8 GCD from Euclidean Algorithm
  477.    wt: 2:   2 Least Common Multiple LCM intro via list method
  478.    wt: 2:   2 Counting with Tables and Trees I
  479.    wt: 2:   4 signed coordinates for regions in space
  480.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  481.    wt: 2:   2 Equality and Units
  482.    wt: 2:   D Three Term Ratios
  483.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  484.    wt: 2:   19 Dividing Fractions How TO
  485.    wt: 2:   13 Fraction Comparison Algebraic View
  486.    wt: 2:   12 Fraction Comparison
  487.    wt: 2:   11 Simplification an Algebraic View
  488.    wt: 2:   6 Multiplication Algebraically Take II
  489.    wt: 2:   13 Subtraction with Additive Inverse
  490.    wt: 2:   11 Adding Integers Formulas and Examples
  491.    wt: 2:   10 Integer Multiplication Formulas
  492.    wt: 2:   21 Remainder Arithmetic Modulo 3
  493.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  494.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  495.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  496.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  497.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  498.    wt: 2:   5 Remainder Arithmetic Modulo 5
  499.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  500.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  501.    wt: 2:   1 Remainder Arithmetic Modulo 10
  502.    wt: 2:   19 video Prime Factorization Unique
  503.    wt: 2:   18 video Count Factors given Prime Factorization
  504.    wt: 2:   17 Identify and Count Factors using Primes
  505.    wt: 2:   16 video Factors of 980 using prime
  506.    wt: 2:   11 Efficient Square Rule Use
  507.    wt: 2:   9 video Prime Factorization upto 19 squared
  508.    wt: 2:   8 video Prime Factorization upto 19
  509.    wt: 2:   7 Calculator Usage Notes and Cautions
  510.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  511.    wt: 2:   5 Prime Factorization and a Square Rule
  512.    wt: 2:   4 video Prime Factorization Introduction
  513.    wt: 2:   3 video Primes and Composites from 9 times table
  514.    wt: 2:   1 video how Products are bigger than factor
  515.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  516.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  517.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  518.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  519.    wt: 2:   Quick history of numbers and algebra
  520.    wt: 2:   Formula Evaluation how to show work
  521.    wt: 2:   The 12 Times Table Visually
  522.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  523.    wt: 2:   012 Division of Time Intervals by Time Intervals
  524.    wt: 2:   2 Time and Date Matters in School
  525.    wt: 2:   1 Intro of Kids To Time Date Skills
  526.    wt: 2:   Example 2 volume of a cone
  527.    wt: 2:   Example 1. Area Between x and x squared
  528.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  529.    wt: 2:   Example 3
  530.    wt: 2:   Example 2
  531.    wt: 2:   Area Between Curves Lesson Take 2
  532.    wt: 2:   A Chain Rule Real Player video examples
  533.    wt: 2:   30Chain Rule A Proof
  534.    wt: 2:   29 Chain Rule Optional Reading
  535.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  536.    wt: 2:   26 Chain Rule Recognising outer inner functions
  537.    wt: 2:   25 Chain Rule Animated Examples Continued
  538.    wt: 2:   24 Chain Rule Animated Examples
  539.    wt: 2:   23 Chain Rule in general
  540.    wt: 2:   19 Chain Rule for linear functions
  541.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  542.    wt: 2:   14 sine and cosine derivatives 2nd step
  543.    wt: 2:   12 Quotient rule examples
  544.    wt: 2:   11 Quotient rule
  545.    wt: 2:   9 Reciprocal rule
  546.    wt: 2:   8 Differentiation of polynomials
  547.    wt: 2:   7 Animated Differentiation Examples
  548.    wt: 2:   6 Power rule from product rule
  549.    wt: 2:   5 Product Rule
  550.    wt: 2:   11 Limits at infinity Three Examples
  551.    wt: 2:   3 Decimal insights for limits continuity convergence
  552.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  553.    wt: 2:   E2 Algebraic Properties of Limits
  554.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  555.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  556.    wt: 2:   Chapter 23 Links To Trigonometry
  557.    wt: 2:   Chapter 21 Arrow Addition
  558.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  559.    wt: 2:   Chapter 12. Units and Slopes
  560.    wt: 2:   Chapter 2. Slopes and Ski Trails
  561.    wt: 2:   Postscript A Three Remarks
  562.    wt: 2:   Chapter 3 Algebra Difficulties
  563.    wt: 2:   Foreword
  564.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  565.    wt: 2:   Postscript B More on Story Telling and Reason
  566.    wt: 2:   Postscript A Story Telling
  567.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  568.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  569.    wt: 2:   Foreword
  570.    wt: 2:   L Skills with take home value
  571.    wt: 2:   I. Logic and language skills
  572.    wt: 2:   G. Written work formats for developing and showing skill
  573.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  574.    wt: 2:   Chapter 2 Why Sets
  575.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  576.    wt: 2:   7 Games and Activities for Instruction
  577.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  578.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  579.    wt: 1:   Appendix 2 primary school Arithmetic 01
  580.    wt: 1:   G LAMP Introduction Problem Solving Skills
  581.    wt: 1:   Skills Chapter 5 Calculus
  582.    wt: 1:   Ramblings Introduction Algebra Essay
  583.    wt: 1:   Skills Chapter 1 Arithmetic
  584.    wt: 1:   Skills Chapter 0 Introduction
  585.    wt: 1:   11 pure mathematics
  586.    wt: 1:   10 statistics
  587.    wt: 1:   9 combinatorics probability sets
  588.    wt: 1:   8 analytic geometry etc
  589.    wt: 1:   6 polynomials etc
  590.    wt: 1:   5 logarithms and exponentials etc
  591.    wt: 1:   3 Euclidean Geometry Leanly
  592.    wt: 1:   1 arithmetic with unsigned numbers
  593.    wt: 1:   What is POMME
  594.    wt: 1:   why bother
  595.    wt: 1:   permissions for teachers
  596.    wt: 1:   activities for students
  597.    wt: 1:   About site lesson plans
  598.    wt: 1:   learning takes time
  599.    wt: 1:   Postscript 2007 01 10
  600.    wt: 1:   Education Reform Inconsistencies
  601.    wt: 1:   Maps Plans Drawings
  602.    wt: 1:   how letters appear
  603.    wt: 1:   Secondary Two Mathematics
  604.    wt: 1:   Secondary One Mathematics
  605.    wt: 1:   teaching tips
  606.    wt: 1:   What to Tell Students
  607.    wt: 1:   mathematics curriculum shifts
  608.    wt: 1:   05 13 OldSiteEntrancePage
  609.    wt: 1:   standards for course material
  610.    wt: 1:   Four ways to improve education reform
  611.    wt: 1:   need for a mixed mathematics curriculum
  612.    wt: 1:   education an empirical art
  613.    wt: 1:   words for mathematics instructor
  614.    wt: 1:   chapitre 12 00 les iles et division
  615.    wt: 1:   chapitre 04 02 Deuxieme enigme
  616.    wt: 1:   chapitre 02 00 La Communication des idees
  617.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  618.    wt: 1:   4 Energy Power Heat09
  619.    wt: 1:   3 Energy Power Heat08
  620.    wt: 1:   1 Energy Power Heat06
  621.    wt: 1:   E Energy Power05
  622.    wt: 1:   D Energy Power04
  623.    wt: 1:   C Energy Power03
  624.    wt: 1:   A Energy Power01
  625.    wt: 1:   D Wire Resistance Calculation02
  626.    wt: 1:   B Wire Resistance Qualitative02
  627.    wt: 1:   3 Like resistors in parallel
  628.    wt: 1:   2 Unlike resistors in parallel01
  629.    wt: 1:   H Series Circuit02
  630.    wt: 1:   D Kirchoff First Law
  631.    wt: 1:   B Electromotive force conventional current01
  632.    wt: 1:   17 Math Booklets for children and young teenagers
  633.    wt: 1:   15 Counting For Parents
  634.    wt: 1:   10 Ends values for work study instruction
  635.    wt: 1:   5 Patience Please for Yourself and Your Charges
  636.    wt: 1:   4 Learning Takes Time and Effort
  637.    wt: 1:   3 Preparing for Science Studies
  638.    wt: 1:   1 Speaking Skills
  639.    wt: 1:   Ages 9 to 10
  640.    wt: 1:   Ages 8 to 9
  641.    wt: 1:   Ages 7 to 8
  642.    wt: 1:   Ages 6 to 7
  643.    wt: 1:   Ages 4 plus to 5 plus
  644.    wt: 1:   Ages 3 plus to 4 plus
  645.    wt: 1:   sign monoticity analysis example 4
  646.    wt: 1:   sign monoticity analysis example 3
  647.    wt: 1:   sign monoticity analysis example 1
  648.    wt: 1:   19 Horizontal line rule and method
  649.    wt: 1:   18 Vertical Line Rule and Method
  650.    wt: 1:   17 Function maxima minima and their location
  651.    wt: 1:   16 Increasing or decreasing on intervals
  652.    wt: 1:   15 Sign analysis of functions
  653.    wt: 1:   14 Surjections Injections Bijections
  654.    wt: 1:   13 From one to one to many to one
  655.    wt: 1:   11 Function Domain Range Source and Targets
  656.    wt: 1:   10 Interval Notation
  657.    wt: 1:   9 Set theory term relation possible origins
  658.    wt: 1:   8 Set view of relations and functions
  659.    wt: 1:   7 Functions with finite domains
  660.    wt: 1:   4 Function notation in and beyond mathematics
  661.    wt: 1:   1 Geometric Introduction of Function Notation
  662.    wt: 1:   Introduction Reading Guide
  663.    wt: 1:   A Quadratics Summary
  664.    wt: 1:   10 quadratic exercises
  665.    wt: 1:   9 quadratics physical and further context
  666.    wt: 1:   6 quadratics numerical approach
  667.    wt: 1:   5 quadratics completing the square
  668.    wt: 1:   4 quadratics difference of two squares
  669.    wt: 1:   3 quadratics factoring by inspection
  670.    wt: 1:   1 quadratics graphing exercises
  671.    wt: 1:   Quadratics in 10 steps
  672.    wt: 1:   7 Links Lessons Elsewhere
  673.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  674.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  675.    wt: 1:   4 Polynomials Long division linear divisor
  676.    wt: 1:   3 Polynomials Multiplication Addition
  677.    wt: 1:   1 Polynomials Distributive Law
  678.    wt: 1:   16 cotangent function Definition Graph and Inverse
  679.    wt: 1:   15 cosecant function Definition Graph and Inverse
  680.    wt: 1:   14 secant function Definition Graph and Inverse
  681.    wt: 1:   13 cosecant function Definition Graph and Inverse
  682.    wt: 1:   11 arctan left inverse of tangent Graph
  683.    wt: 1:   10 arctan left inverse of tangent Definition
  684.    wt: 1:   9 motivation for name arcsin
  685.    wt: 1:   4 possible motivation for term arccos
  686.    wt: 1:   2 cosine function more properties
  687.    wt: 1:   9 Summary Degrees to Radians and back
  688.    wt: 1:   2 Radian Measure Numerical Value of one degree
  689.    wt: 1:   Parallel Lines and Interior Angles
  690.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  691.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  692.    wt: 1:   Straight Lines ASA Intersection Study More
  693.    wt: 1:   14 Straight Lines Equations General Case
  694.    wt: 1:   10 Straight Lines through Origin Equations More
  695.    wt: 1:   9 Straight Lines through Origin Equations
  696.    wt: 1:   1 Straight Lines Slope Concept
  697.    wt: 1:   17 tangent function angle sum formulas
  698.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  699.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  700.    wt: 1:   32 seven rows of pascals triangle
  701.    wt: 1:   30 unit circle calculation of six trigonometric functions
  702.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  703.    wt: 1:   17C sine and cosine double triple angle formulas
  704.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  705.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  706.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  707.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  708.    wt: 1:   2 Quadrant I reference Angles
  709.    wt: 1:   11 sine and cosine double triple angle formulas
  710.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  711.    wt: 1:   1 Angle Measurement with Degrees
  712.    wt: 1:   Why Trigonometry the whyslopes view
  713.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  714.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  715.    wt: 1:   4 Similarity Definition with Coordinate
  716.    wt: 1:   8 Mid Point Formula
  717.    wt: 1:   5 Algebraic View of Slopes
  718.    wt: 1:   3 Slope product for perpendicular lines
  719.    wt: 1:   13 Pythagorean spatial distance formulas
  720.    wt: 1:   10 Pythagorean plane distance formula
  721.    wt: 1:   2 Measuring Area Directly
  722.    wt: 1:   5 Square Roots with primes more still
  723.    wt: 1:   4 Square Roots with primes more
  724.    wt: 1:   3 Properties of Square Roots with example
  725.    wt: 1:   1 Squares and Square Roots Introduction
  726.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  727.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  728.    wt: 1:   13 GCD from given Prime Factorization
  729.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  730.    wt: 1:   7 GCD and LCM from prime factorization
  731.    wt: 1:   6 GCD from Prime
  732.    wt: 1:   5 Common Divisors 60 45 via Prime
  733.    wt: 1:   4 LCM of 8 and 10 via Prime
  734.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  735.    wt: 1:   1 Least Common Multiples LCM Introduction
  736.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  737.    wt: 1:   4 Counting with Trees Product Rule Take I
  738.    wt: 1:   3 Counting with Tables and Trees II
  739.    wt: 1:   1 Counting and Counting Methods I
  740.    wt: 1:   11 What are real lengths and numbers
  741.    wt: 1:   10 dividing signed numbers
  742.    wt: 1:   9 subtracting signed numbers
  743.    wt: 1:   8 multiplying signed numbers
  744.    wt: 1:   7 negative and additive inverse
  745.    wt: 1:   6 adding signed numbers
  746.    wt: 1:   5 lengths and signs of numbers
  747.    wt: 1:   7 Converting or Changing Units
  748.    wt: 1:   6 Simplification of Fractions with Units
  749.    wt: 1:   4 Fractions with Units
  750.    wt: 1:   3 Multiplying Units and Numbers
  751.    wt: 1:   1 Addition and Subtraction with Units
  752.    wt: 1:   B Fractions and Two Term Ratios
  753.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  754.    wt: 1:   18 Efficient Ways to Multiply
  755.    wt: 1:   17 Efficient Ways to Add and Subtract
  756.    wt: 1:   16 Addition Subtraction Comparision Compared
  757.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  758.    wt: 1:   14 Adding and Subtracting with Like Denominators
  759.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  760.    wt: 1:   9 Improper Fractions and Mixed Numbers
  761.    wt: 1:   8 Numerals Fractionals Quantals Take II
  762.    wt: 1:   7 Numerals Fractionals Quantals
  763.    wt: 1:   6 Multiplication of Mixed Numbers
  764.    wt: 1:   5 Equivalent Fractions
  765.    wt: 1:   4 Fraction Multiplication
  766.    wt: 1:   3 Unit fraction of a fraction
  767.    wt: 1:   1 What is a fraction Take II
  768.    wt: 1:   1 What is a fraction
  769.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  770.    wt: 1:   D Remainders Modulo 11 Pair Rule
  771.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  772.    wt: 1:   B Integer Long Division Multiple Choices
  773.    wt: 1:   A Associative Law Theorectical Note
  774.    wt: 1:   9 Multiplying Integers
  775.    wt: 1:   8 Multiplication by Signed Numbers Integers
  776.    wt: 1:   7 Multiplication by Signs
  777.    wt: 1:   6 Multiplication by Natural Numbers
  778.    wt: 1:   5 Zero Movement and Additive Inverses
  779.    wt: 1:   4 Adding Movements wiht opposite directions
  780.    wt: 1:   3 Adding Movements with same direction
  781.    wt: 1:   1 Integers as Coordinates
  782.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  783.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  784.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  785.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  786.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  787.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  788.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  789.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  790.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  791.    wt: 1:   11 Place Value SI Standard International way
  792.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  793.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  794.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  795.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  796.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  797.    wt: 1:   Exact Arithmetic Wholes and Fractions
  798.    wt: 1:   Expression Evaluation how to show work
  799.    wt: 1:   About folder contents
  800.    wt: 1:   016 Numbering Occidental Calendar Days
  801.    wt: 1:   015 School and work day counting tables
  802.    wt: 1:   014 Counting Days with Calendars
  803.    wt: 1:   013 Travel Time Tables
  804.    wt: 1:   011 Division of Time Intervals By Numbers
  805.    wt: 1:   010 Repeated Addition of Time Intervals
  806.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  807.    wt: 1:   8 Addition of Time Intervals via subtotaling
  808.    wt: 1:   7 Addition of Time Intervals
  809.    wt: 1:   6 How long is a million seconds
  810.    wt: 1:   5 Conversion Arithmetic
  811.    wt: 1:   4 Mixing and Changing Units of Time
  812.    wt: 1:   3 Units and Lengths of Time
  813.    wt: 1:   Example 1 volume of a pyramid
  814.    wt: 1:   Volume of Solid by Cross Sections Lesson
  815.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  816.    wt: 1:   Example 4 with x function of y
  817.    wt: 1:   Example 1
  818.    wt: 1:   Area Between Curves Lesson Take 1
  819.    wt: 1:   Summary
  820.    wt: 1:   2 Indefinite Integrals Exercises
  821.    wt: 1:   1 Chain Rule in Reverse Integration Method
  822.    wt: 1:   2 Second derivative test prequel
  823.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  824.    wt: 1:   36 Cube root derivative animated
  825.    wt: 1:   34 Derivative of exponential function
  826.    wt: 1:   33 Chain Rule Real Player video examples
  827.    wt: 1:   31 Derivatives of inverse functions
  828.    wt: 1:   18 Chain Rule Introduction
  829.    wt: 1:   17 Derivatives of quotients of sine and cosine
  830.    wt: 1:   15 sine and cosine derivatives 3rd step
  831.    wt: 1:   13 sine and cosine derivatives 1st step
  832.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  833.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  834.    wt: 1:   10 Three one sided limits with infinite values
  835.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  836.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  837.    wt: 1:   F.4 Finite Covering Theorem
  838.    wt: 1:   F.2 Closed Range Theorem
  839.    wt: 1:   D2 Limits of Monotone Sequences
  840.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  841.    wt: 1:   PostScript For and Against Decimal Perspectives
  842.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  843.    wt: 1:   Chapter 9 About First Courses in Calculus
  844.    wt: 1:   Fall 1983 Calculus Appetizer
  845.    wt: 1:   Foreword
  846.    wt: 1:   Annotated Links to Material Elsehwere
  847.    wt: 1:   Postscript B Mathematics Education References
  848.    wt: 1:   Chapter 11 Elementary Instruction
  849.    wt: 1:   Chapter 10 Transition
  850.    wt: 1:   Chapter 9 The Two Ends
  851.    wt: 1:   Chapter 8 Modern Instruction
  852.    wt: 1:   Chapter 7 Two Treatments of Geometry
  853.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  854.    wt: 1:   Chapter 5 Four References
  855.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  856.    wt: 1:   Chapter 1 Introduction
  857.    wt: 1:   Chapter 18 Sense and Knowledge
  858.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  859.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  860.    wt: 1:   Chapter 15 Objective Processes
  861.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  862.    wt: 1:   Chapter 11 Accidental Patterns
  863.    wt: 1:   Chapter 10 Responsibility
  864.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  865.    wt: 1:   Chapter 8 Change of Language
  866.    wt: 1:   Chapter 7 Longer Chains of Reason
  867.    wt: 1:   Chapter 6 Chains of Reason
  868.    wt: 1:   Chapter 5 Deception
  869.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  870.    wt: 1:   Chapter 1 Introduction
  871.    wt: 1:   S Adding words to algebra
  872.    wt: 1:   R Why Learn Mathematics Skills
  873.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  874.    wt: 1:   N Mathematics Prepare for College Studies
  875.    wt: 1:   H Jigsaw puzzles and problem solving
  876.    wt: 1:   B. Domino effect of errors
  877.    wt: 1:   How to Build Skills and Confidence
  878.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  879.    wt: 1:   Chapter 6 More Algebra and Geometry
  880.    wt: 1:   Chapter 3 Algebra Starter Lessons
  881.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  882.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  883.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  884.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  885.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  886.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  887.    wt: 1:   Helping the Blind in Logic and Mathematics
  888.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  889.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  890.    wt: 1:   More Algebra and Slope based Calculus Preview
  891.    wt: 1:   Systematic Algebra Skill Development Missing Links
  892.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  893.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  894.    wt: 1:   The Math Forum and Site Content
  895.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  896.    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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