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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54 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:   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:   9 Combinatorics Trees Tables and Products/
  29.    wt: 2:   3 Prime Factorization Skills/
  30.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  31.    wt: 1:   Mathematics Skills Year by Year/
  32.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  33.    wt: 1:   4 Functions/
  34.    wt: 1:   3 Quadratics Geometrically/
  35.    wt: 1:   1 Five Polynomial Operations/
  36.    wt: 1:   More Algebra/
  37.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  38.    wt: 1:   11 Squares and Square Roots/
  39.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  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

438 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   26 Formulas for products of sines and cosines
  3.    wt: 4:   1 Three Skills For Algebra
  4.    wt: 4:   Chapter 8 Three Skills For Algebra
  5.    wt: 3:   02 21 words for teachers
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   17E Trig Formulas for dot and cross Products
  8.    wt: 3:   13 Trig Formulas for dot and cross Products
  9.    wt: 3:   12 cis formulas for sine cosines and tangent
  10.    wt: 3:   4 Equations for lines three forms
  11.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  12.    wt: 3:   12 GCD 2700 288 via Prime
  13.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  14.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  15.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  16.    wt: 3:   22 Chain Rule for polynomials
  17.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  18.    wt: 2:   Skills Chapter 3 Algebra
  19.    wt: 2:   Skills Chapter 2 Geometry
  20.    wt: 2:   three goals to set for students
  21.    wt: 2:   geometric implications for algebra
  22.    wt: 2:   three goals for Mathematics Education
  23.    wt: 2:   02 20 mathematics education references
  24.    wt: 2:   three aims for mathematics students
  25.    wt: 2:   formal or informal peer review
  26.    wt: 2:   Prequel In For A Penny In For A Pound
  27.    wt: 2:   2 Conductance Resistance Duality02
  28.    wt: 2:   C Electromotive force conventional current02
  29.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  30.    wt: 2:   24 Standards For Skill Develoment Take II
  31.    wt: 2:   24 Standards For Skill Develoment
  32.    wt: 2:   22 Student Centered Highschool Mathematics
  33.    wt: 2:   12 Goals and Objectives For Mathematics
  34.    wt: 2:   2 Reading and Writing Skills
  35.    wt: 2:   Ages 12 to 14 Skills with take home value
  36.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  37.    wt: 2:   22 Square Root function graphically
  38.    wt: 2:   5 Function notation for geometric transformations
  39.    wt: 2:   2 Algebraic use of function notation
  40.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  41.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  42.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  43.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  44.    wt: 2:   12 motivation for term arctan
  45.    wt: 2:   29 secant cosecant and cotangent for acute angles
  46.    wt: 2:   28 Expressing products of sines cosines as sums
  47.    wt: 2:   27 Logarithmic use of products of sines and cosines
  48.    wt: 2:   25 tangent double angle formula Slope connection
  49.    wt: 2:   24 tangent Angle Difference Formula
  50.    wt: 2:   21 sine and cosine Half Angle Formulas
  51.    wt: 2:   20 sine and cosine Double Angle Formulas
  52.    wt: 2:   17D cis formulas for sine cosines and tangent
  53.    wt: 2:   12 Graph of tangent function for one period
  54.    wt: 2:   3 Slope product for perpendicular lines
  55.    wt: 2:   2 point slope equation for a line
  56.    wt: 2:   22 Multiplication of Signed Numbers
  57.    wt: 2:   2 Combing Counts Addition Skills and Principles
  58.    wt: 2:   2 Algebraic View
  59.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  60.    wt: 2:   3 Product Axioms Two Forms
  61.    wt: 2:   2 More and Less Than for Counts and Measures
  62.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  63.    wt: 2:   2 Essentially one exercises three with solution
  64.    wt: 2:   2 Three Examples
  65.    wt: 2:   2 Three Examples
  66.    wt: 2:   Formula Usage Show Work Format
  67.    wt: 2:   2 Another Rectangle Area Formula Example
  68.    wt: 2:   1 Written work formats for developing and showing skill
  69.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  70.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  71.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  72.    wt: 2:   22 Complex Compound Fractions
  73.    wt: 2:   21 Reciprocals for Fractions and Wholes
  74.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  75.    wt: 2:   26 Divisibility by 2 3 5 Example
  76.    wt: 2:   23 Remainder Arithmetic Modulo 2
  77.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  78.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  79.    wt: 2:   Long Division forwards and backwards Example 2
  80.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  81.    wt: 2:   9 22 Minute Subtraction Review Video
  82.    wt: 2:   38 Formulas and derivatives for powers and roots
  83.    wt: 2:   28 Chain Rule Preparation for a Proof
  84.    wt: 2:   21 Chain Rule for powers
  85.    wt: 2:   20 Chain Rule for Pulley Systems
  86.    wt: 2:   3 Motivation for Limit Definition Take 2
  87.    wt: 2:   2 Motivation for Limit Definition Take 1
  88.    wt: 2:   2 Algebraic codification
  89.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  90.    wt: 2:   E2 Algebraic Properties of Limits
  91.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  92.    wt: 2:   Chapter 22 Complex Numbers
  93.    wt: 2:   Postscript For Better Performance
  94.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  95.    wt: 2:   Chapter 23. Notation For Sums
  96.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  97.    wt: 2:   Chapter 18. Rules for Algebra
  98.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  99.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  100.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  101.    wt: 2:   Chapter 2 For and Against Mathematics
  102.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  103.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  104.    wt: 2:   G. Written work formats for developing and showing skill
  105.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  106.    wt: 1:   Appendix 2 primary school Arithmetic 01
  107.    wt: 1:   G LAMP Introduction Problem Solving Skills
  108.    wt: 1:   Skills Chapter 5 Calculus
  109.    wt: 1:   Skills Chapter 4 Logic
  110.    wt: 1:   Ramblings Introduction Algebra Essay
  111.    wt: 1:   Skills Chapter 1 Arithmetic
  112.    wt: 1:   Skills Chapter 0 Introduction
  113.    wt: 1:   4 algebra
  114.    wt: 1:   2 arithmetic with signed numbers
  115.    wt: 1:   permissions for teachers
  116.    wt: 1:   Applied Maths Program14092009 POMME variant
  117.    wt: 1:   activities for students
  118.    wt: 1:   Postscript 2007 01 10
  119.    wt: 1:   Education Reform Inconsistencies
  120.    wt: 1:   Secondary Three Mathematics
  121.    wt: 1:   talk the algebra talk
  122.    wt: 1:   three difficulties
  123.    wt: 1:   teaching tutoring algebraic reason
  124.    wt: 1:   Lessening Algebra Difficulties
  125.    wt: 1:   the trouble with algebra
  126.    wt: 1:   04 29 New Mathematics Curriculum
  127.    wt: 1:   04 25 when to stop or suspend mathemat
  128.    wt: 1:   standards for course material
  129.    wt: 1:   three kinds of reason in mathematics
  130.    wt: 1:   Four ways to improve education reform
  131.    wt: 1:   need for a mixed mathematics curriculum
  132.    wt: 1:   fairness and inductive principles for instruction
  133.    wt: 1:   words for mathematics instructor
  134.    wt: 1:   chapitre 12 00 les iles et division
  135.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  136.    wt: 1:   chapitre 04 02 Deuxieme enigme
  137.    wt: 1:   chapitre 02 00 La Communication des idees
  138.    wt: 1:   2 Energy Power Heat07
  139.    wt: 1:   B Energy Power02
  140.    wt: 1:   D Wire Resistance Calculation02
  141.    wt: 1:   B Wire Resistance Qualitative02
  142.    wt: 1:   2 Unlike resistors in parallel01
  143.    wt: 1:   H Series Circuit02
  144.    wt: 1:   B Electromotive force conventional current01
  145.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  146.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  147.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  148.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  149.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  150.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  151.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  152.    wt: 1:   17 Math Booklets for children and young teenagers
  153.    wt: 1:   15 Counting For Parents
  154.    wt: 1:   10 Ends values for work study instruction
  155.    wt: 1:   5 Patience Please for Yourself and Your Charges
  156.    wt: 1:   4 Learning Takes Time and Effort
  157.    wt: 1:   3 Preparing for Science Studies
  158.    wt: 1:   1 Speaking Skills
  159.    wt: 1:   Ages 12 to 14 Geometry
  160.    wt: 1:   Ages 12 to 14 Arithmetic
  161.    wt: 1:   Ages 10 to 12 Geometry
  162.    wt: 1:   Ages 10 to 12 Arithmetic
  163.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  164.    wt: 1:   sign monoticity analysis example 2
  165.    wt: 1:   26 Function definitions done and coming
  166.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  167.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  168.    wt: 1:   23 Inverse Functions
  169.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  170.    wt: 1:   20 Interchanging coordinates a reflection
  171.    wt: 1:   12 Function Domain Recognition Exercises
  172.    wt: 1:   6 Set Existence Formation and Notation
  173.    wt: 1:   3 Formula or function graphing exercise
  174.    wt: 1:   8 quadratics backward use of various formulas
  175.    wt: 1:   7 quadratic formulla derivation
  176.    wt: 1:   2 quadratics graphing in general
  177.    wt: 1:   2 Square Root Simplification a prequel
  178.    wt: 1:   8 Notes for instructors or tutors
  179.    wt: 1:   2 Column Multiplication Method
  180.    wt: 1:   Rewriting algebraic substitution as function substitutions
  181.    wt: 1:   9 motivation for name arcsin
  182.    wt: 1:   4 possible motivation for term arccos
  183.    wt: 1:   2 cosine function more properties
  184.    wt: 1:   2 Radian Measure Numerical Value of one degree
  185.    wt: 1:   15 Dot and Cross Product
  186.    wt: 1:   12 From Applied To Pure Mathematics
  187.    wt: 1:   2 Signed Coordinates
  188.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  189.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  190.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  191.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  192.    wt: 1:   12 Straight Lines Graphing mx plus b
  193.    wt: 1:   8 Straight Lines Equation for vertical
  194.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  195.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  196.    wt: 1:   17 tangent function angle sum formulas
  197.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  198.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  199.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  200.    wt: 1:   32 seven rows of pascals triangle
  201.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  202.    wt: 1:   17C sine and cosine double triple angle formulas
  203.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  204.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  205.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  206.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  207.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  208.    wt: 1:   2 Quadrant I reference Angles
  209.    wt: 1:   21 Logarithms Powers and Exponentials
  210.    wt: 1:   20 N th Roots of Complex Numbers
  211.    wt: 1:   11 sine and cosine double triple angle formulas
  212.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  213.    wt: 1:   7 Second Way to Calculate Products
  214.    wt: 1:   2 Complex Numbers made easier we hope
  215.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  216.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  217.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  218.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  219.    wt: 1:   12 Triangles Similarity More Problems
  220.    wt: 1:   2 Similarity By Design
  221.    wt: 1:   12 Links Lessons elsewhere
  222.    wt: 1:   8 Mid Point Formula
  223.    wt: 1:   5 Algebraic View of Slopes
  224.    wt: 1:   13 Pythagorean spatial distance formulas
  225.    wt: 1:   12 Spatial Coordinates
  226.    wt: 1:   10 Pythagorean plane distance formula
  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 Correspondence between Triangles
  232.    wt: 1:   2 Measuring Area Directly
  233.    wt: 1:   26 More Less Greater Than Comparison
  234.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  235.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  236.    wt: 1:   23 Distributive Law Two Derivations
  237.    wt: 1:   21 Addition of Multiples of a Single Vector
  238.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  239.    wt: 1:   15 Head to Tails in place Addition Associative
  240.    wt: 1:   12 Real Numbers Line Signed Coordinates
  241.    wt: 1:   2 Counting Digits in Decimal Multiplication
  242.    wt: 1:   C Three Decimal Subtraction Methods
  243.    wt: 1:   6 Column Methods for Decimal Multiplication
  244.    wt: 1:   5 Distributive Law for Whole Numbers
  245.    wt: 1:   4 Commutative Law Groups Counting Form
  246.    wt: 1:   3 Multiplicative Counting Skills Principles
  247.    wt: 1:   3 Inequalities Algebraically
  248.    wt: 1:   2 Fraction Operations Physical Development
  249.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  250.    wt: 1:   6 Compound Interest Forward and Backwards
  251.    wt: 1:   5 Triangle Area Formula Backwards
  252.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  253.    wt: 1:   2 Linear Equation Literal Solution
  254.    wt: 1:   5 Equality in Algebra
  255.    wt: 1:   2 Addition and Multiplication Axioms
  256.    wt: 1:   12 Real Number Additive Inverses or Negatives
  257.    wt: 1:   9 Coordinates for Regions in Space
  258.    wt: 1:   8 Coordinates for Maps and Planes
  259.    wt: 1:   2 Integers
  260.    wt: 1:   3 Geometric Formulas and Function Notation
  261.    wt: 1:   2 Computation Rules Evaluation
  262.    wt: 1:   1 Formulas Dependence and Function Notation
  263.    wt: 1:   2 GE II Comparison
  264.    wt: 1:   6 Algebraic Solution Example
  265.    wt: 1:   5 Algebraic Solutions Introduction
  266.    wt: 1:   9 Three Examples
  267.    wt: 1:   6 Three Examples
  268.    wt: 1:   5 Three Examples
  269.    wt: 1:   Using Letters for Physical Quantities
  270.    wt: 1:   13 Naming Identifying Formulas with Words
  271.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  272.    wt: 1:   8 Compound Interest Formula Evaluation
  273.    wt: 1:   7 Compound Interest Formula Introduction
  274.    wt: 1:   5 Box Volume Formula Example
  275.    wt: 1:   4 Circle Area Formula Example
  276.    wt: 1:   3 Triangle Area Formula Example
  277.    wt: 1:   5 Product Builder Notation
  278.    wt: 1:   2 Venn Diagrams
  279.    wt: 1:   6 Three Notions of What is a Variable
  280.    wt: 1:   4 A Brief Story of numbers and algebra
  281.    wt: 1:   2 What is a Variable
  282.    wt: 1:   arithmetic videos Real Player Format
  283.    wt: 1:   2 More and Less Than with Unlike Signs
  284.    wt: 1:   1 More and Less Than for Counts and Measures
  285.    wt: 1:   2 Square Roots with Prime
  286.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  287.    wt: 1:   2 Least Common Multiple LCM intro via list method
  288.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  289.    wt: 1:   4 Counting with Trees Product Rule Take I
  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:   A Associative Law Theorectical Note
  306.    wt: 1:   12 Adding Integers More Examples
  307.    wt: 1:   11 Adding Integers Formulas and Examples
  308.    wt: 1:   10 Integer Multiplication Formulas
  309.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  310.    wt: 1:   21 Remainder Arithmetic Modulo 3
  311.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  312.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  313.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  314.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  315.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  316.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  317.    wt: 1:   20 Uniqueness of Prime Factorization
  318.    wt: 1:   15 video Factors of 20 using Prime Factorization
  319.    wt: 1:   14 video Factors of 24 Take II
  320.    wt: 1:   13 video Factors of 24 using prime
  321.    wt: 1:   12 LCD GCD and LCM using Primes
  322.    wt: 1:   10 video Prime Factorization upto 23 squared
  323.    wt: 1:   2 Prime and Composites less than 16
  324.    wt: 1:   1 video how Products are bigger than factor
  325.    wt: 1:   Long Division forwards and backwards Example 3
  326.    wt: 1:   Long Division forwards and backwards Example 1
  327.    wt: 1:   12 Why Long Division Works Take III
  328.    wt: 1:   4 Division with 2 Digit Divsors
  329.    wt: 1:   2 Division with Single Digit Divisors
  330.    wt: 1:   A Elementary Basis for Multiplication Methods
  331.    wt: 1:   4 Two and Three Digit Multipliers
  332.    wt: 1:   2 One Digit Multipliers
  333.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  334.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  335.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  336.    wt: 1:   5 A Tip for Efficent Subtraction
  337.    wt: 1:   2 Subtraction Easy Case Examples
  338.    wt: 1:   8 What skills and work habits to require
  339.    wt: 1:   2 Decimal Counting Practices
  340.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  341.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  342.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  343.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  344.    wt: 1:   Quick history of numbers and algebra
  345.    wt: 1:   Formula Evaluation how to show work
  346.    wt: 1:   The 20 Times Table
  347.    wt: 1:   The 12 Times Table Visually
  348.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  349.    wt: 1:   012 Division of Time Intervals by Time Intervals
  350.    wt: 1:   2 Time and Date Matters in School
  351.    wt: 1:   1 Intro of Kids To Time Date Skills
  352.    wt: 1:   Example 2 volume of a cone
  353.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  354.    wt: 1:   Example 2
  355.    wt: 1:   Area Between Curves Lesson Take 2
  356.    wt: 1:   2 Indefinite Integrals Exercises
  357.    wt: 1:   2 Second derivative test prequel
  358.    wt: 1:   29 Chain Rule Optional Reading
  359.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  360.    wt: 1:   26 Chain Rule Recognising outer inner functions
  361.    wt: 1:   25 Chain Rule Animated Examples Continued
  362.    wt: 1:   24 Chain Rule Animated Examples
  363.    wt: 1:   23 Chain Rule in general
  364.    wt: 1:   19 Chain Rule for linear functions
  365.    wt: 1:   14 sine and cosine derivatives 2nd step
  366.    wt: 1:   12 Quotient rule examples
  367.    wt: 1:   10 Power rule for negative integers
  368.    wt: 1:   6 Power rule from product rule
  369.    wt: 1:   5 Product Rule
  370.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  371.    wt: 1:   11 Limits at infinity Three Examples
  372.    wt: 1:   10 Three one sided limits with infinite values
  373.    wt: 1:   3 Decimal insights for limits continuity convergence
  374.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  375.    wt: 1:   F.2 Closed Range Theorem
  376.    wt: 1:   D2 Limits of Monotone Sequences
  377.    wt: 1:   PostScript For and Against Decimal Perspectives
  378.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  379.    wt: 1:   Chapter 23 Links To Trigonometry
  380.    wt: 1:   Chapter 21 Arrow Addition
  381.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  382.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  383.    wt: 1:   Chapter 12. Units and Slopes
  384.    wt: 1:   Chapter 2. Slopes and Ski Trails
  385.    wt: 1:   Foreword
  386.    wt: 1:   Postscript More on Better Performance
  387.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  388.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  389.    wt: 1:   Chapter 28 Occurrence Tables
  390.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  391.    wt: 1:   Chapter 25. Mathematical Induction Examples
  392.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  393.    wt: 1:   Chapter 21. Third Reading Guide
  394.    wt: 1:   Chapter 20. Degrees and Radians
  395.    wt: 1:   Chapter 12. Shorthand Usage Guide
  396.    wt: 1:   Solutions For Arithmetic Exercises
  397.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  398.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  399.    wt: 1:   Foreword
  400.    wt: 1:   Postscript A Three Remarks
  401.    wt: 1:   Chapter 12 Four Phases
  402.    wt: 1:   Chapter 3 Algebra Difficulties
  403.    wt: 1:   Foreword
  404.    wt: 1:   Postscript C Consistency as a Tool for Reason
  405.    wt: 1:   Chapter 24 Direct and Indirect Reason
  406.    wt: 1:   Chapter 23 Truth Tables
  407.    wt: 1:   Chapter 21 Occurrence Tables
  408.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  409.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  410.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  411.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  412.    wt: 1:   Chapter 2 Skill Development
  413.    wt: 1:   Three Remarks
  414.    wt: 1:   Foreword
  415.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  416.    wt: 1:   S Adding words to algebra
  417.    wt: 1:   R Why Learn Mathematics Skills
  418.    wt: 1:   N Mathematics Prepare for College Studies
  419.    wt: 1:   L Skills with take home value
  420.    wt: 1:   I. Logic and language skills
  421.    wt: 1:   How to Build Skills and Confidence
  422.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  423.    wt: 1:   Chapter 6 More Algebra and Geometry
  424.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  425.    wt: 1:   Chapter 3 Algebra Starter Lessons
  426.    wt: 1:   Chapter 2 Why Sets
  427.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  428.    wt: 1:   7 Games and Activities for Instruction
  429.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  430.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  431.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  432.    wt: 1:   More Algebra and Slope based Calculus Preview
  433.    wt: 1:   Systematic Algebra Skill Development Missing Links
  434.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  435.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  436.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  437.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  438.    wt: 1:   The Math Forum and Site Content

Extended Search

891 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:   26 Formulas for products of sines and cosines
  72.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  73.    wt: 5:   2 Combing Counts Addition Skills and Principles
  74.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  75.    wt: 5:   6 Compound Interest Forward and Backwards
  76.    wt: 5:   5 Triangle Area Formula Backwards
  77.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  78.    wt: 5:   2 Linear Equation Literal Solution
  79.    wt: 5:   2 Three Examples
  80.    wt: 5:   11 Volume of Sphere
  81.    wt: 5:   10 Volume of Pyramid
  82.    wt: 5:   9 Volume of Cone
  83.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  84.    wt: 5:   2 More and Less Than with Unlike Signs
  85.    wt: 5:   Long Division forwards and backwards Example 3
  86.    wt: 5:   12 Why Long Division Works Take III
  87.    wt: 5:   2 Division with Single Digit Divisors
  88.    wt: 5:   2 One Digit Multipliers
  89.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  90.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  91.    wt: 5:   Video Power Notation in Decimal Expansion
  92.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  93.    wt: 5:   5 A Tip for Efficent Subtraction
  94.    wt: 5:   2 Decimal Counting Practices
  95.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  96.    wt: 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:   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:   15 Head to Tails in place Addition Associative
  112.    wt: 4:   12 Real Numbers Line Signed Coordinates
  113.    wt: 4:   3 Inequalities Algebraically
  114.    wt: 4:   2 Fraction Operations Physical Development
  115.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  116.    wt: 4:   3 Linear Equation Literal Solution More
  117.    wt: 4:   1 Changing Calculations
  118.    wt: 4:   3 Product Axioms Two Forms
  119.    wt: 4:   2 More and Less Than for Counts and Measures
  120.    wt: 4:   12 Real Number Additive Inverses or Negatives
  121.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  122.    wt: 4:   2 GE II Comparison
  123.    wt: 4:   Formula Usage Show Work Format
  124.    wt: 4:   1 More and Less Than for Counts and Measures
  125.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  126.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  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:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  157.    wt: 3:   Skills Chapter 2 Geometry
  158.    wt: 3:   2 arithmetic with signed numbers
  159.    wt: 3:   geometric implications for algebra
  160.    wt: 3:   Lessening Algebra Difficulties
  161.    wt: 3:   the trouble with algebra
  162.    wt: 3:   02 20 mathematics education references
  163.    wt: 3:   three aims for mathematics students
  164.    wt: 3:   Prequel In For A Penny In For A Pound
  165.    wt: 3:   B Energy Power02
  166.    wt: 3:   2 Conductance Resistance Duality02
  167.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  168.    wt: 3:   24 Standards For Skill Develoment Take II
  169.    wt: 3:   24 Standards For Skill Develoment
  170.    wt: 3:   12 Goals and Objectives For Mathematics
  171.    wt: 3:   2 Reading and Writing Skills
  172.    wt: 3:   Ages 12 to 14 Geometry
  173.    wt: 3:   Ages 12 to 14 Arithmetic
  174.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  175.    wt: 3:   sign monoticity analysis example 2
  176.    wt: 3:   26 Function definitions done and coming
  177.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  178.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  179.    wt: 3:   23 Inverse Functions
  180.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  181.    wt: 3:   20 Interchanging coordinates a reflection
  182.    wt: 3:   12 Function Domain Recognition Exercises
  183.    wt: 3:   5 Function notation for geometric transformations
  184.    wt: 3:   11 Growth and Decay in Biology
  185.    wt: 3:   10 Exponential Growth and Decay Models
  186.    wt: 3:   5 Natural Logarithm Calculator Exercises
  187.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  188.    wt: 3:   1 Calculator Starter Exercises
  189.    wt: 3:   12 motivation for term arctan
  190.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  191.    wt: 3:   8 Straight Lines Equation for vertical
  192.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  193.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  194.    wt: 3:   29 secant cosecant and cotangent for acute angles
  195.    wt: 3:   28 Expressing products of sines cosines as sums
  196.    wt: 3:   27 Logarithmic use of products of sines and cosines
  197.    wt: 3:   25 tangent double angle formula Slope connection
  198.    wt: 3:   24 tangent Angle Difference Formula
  199.    wt: 3:   21 sine and cosine Half Angle Formulas
  200.    wt: 3:   17E Trig Formulas for dot and cross Products
  201.    wt: 3:   13 Trig Formulas for dot and cross Products
  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:   14 Vector Head to Tail Sums and Resultants
  219.    wt: 3:   13 Arrows and Vectors in a Plane
  220.    wt: 3:   11 Signed Number Addition and Addition Properties
  221.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  222.    wt: 3:   2 Counting Digits in Decimal Multiplication
  223.    wt: 3:   C Three Decimal Subtraction Methods
  224.    wt: 3:   6 Column Methods for Decimal Multiplication
  225.    wt: 3:   5 Distributive Law for Whole Numbers
  226.    wt: 3:   4 Commutative Law Groups Counting Form
  227.    wt: 3:   3 Multiplicative Counting Skills Principles
  228.    wt: 3:   5 Areas of Rectangles Revisited
  229.    wt: 3:   4 Fraction Operations Axiomatic Development
  230.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  231.    wt: 3:   5 Proportionality in Equivalent Fractions
  232.    wt: 3:   4 Rates Ratios and Proporitionality
  233.    wt: 3:   3 Proportionality Examples
  234.    wt: 3:   1 What is Proportionality
  235.    wt: 3:   5 Equality in Algebra
  236.    wt: 3:   2 Addition and Multiplication Axioms
  237.    wt: 3:   16 Real Numbers Comparison
  238.    wt: 3:   15 Real Number Division
  239.    wt: 3:   14 Real Number Multiplication
  240.    wt: 3:   13 Real Number Subtraction
  241.    wt: 3:   11 Real Number Addition
  242.    wt: 3:   10 Real Number Lengths and Signs
  243.    wt: 3:   9 Coordinates for Regions in Space
  244.    wt: 3:   8 Coordinates for Maps and Planes
  245.    wt: 3:   2 Integers
  246.    wt: 3:   3 Geometric Formulas and Function Notation
  247.    wt: 3:   2 Computation Rules Evaluation
  248.    wt: 3:   1 Formulas Dependence and Function Notation
  249.    wt: 3:   4 Solving a triangular system exercise
  250.    wt: 3:   3 Solving triangular system example
  251.    wt: 3:   1 Essentially One Unknown
  252.    wt: 3:   9 Three Examples
  253.    wt: 3:   6 Three Examples
  254.    wt: 3:   5 Three Examples
  255.    wt: 3:   Using Letters for Physical Quantities
  256.    wt: 3:   5 Product Builder Notation
  257.    wt: 3:   2 Venn Diagrams
  258.    wt: 3:   6 Three Notions of What is a Variable
  259.    wt: 3:   4 A Brief Story of numbers and algebra
  260.    wt: 3:   2 What is a Variable
  261.    wt: 3:   4 Greater More Less Than Signs in General
  262.    wt: 3:   3 Comparison of Negative Numbers
  263.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  264.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  265.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  266.    wt: 3:   4 Counting with Trees Product Rule Take I
  267.    wt: 3:   2 Counting with Tables and Trees I
  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:   1 video how Products are bigger than factor
  286.    wt: 3:   Division with Counts and Length
  287.    wt: 3:   11 Another Single Digit Divisor Example
  288.    wt: 3:   10 Division by Five Long and Short Ways
  289.    wt: 3:   9 Why Long Division Works Take II
  290.    wt: 3:   8 Correcting the Mistake
  291.    wt: 3:   7 Long Divison Mistake Catching
  292.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  293.    wt: 3:   5 Long Division Include Zeroes or not
  294.    wt: 3:   3 Division Single Digit Divisor Example
  295.    wt: 3:   1 Divsion Physical Examples
  296.    wt: 3:   D Decimal Multiplication Methods Derived
  297.    wt: 3:   C Counting Areas with Powers of Ten
  298.    wt: 3:   B Powers of Ten
  299.    wt: 3:   6 Multiplication Commutes Order Not Important
  300.    wt: 3:   5 Decimal Fraction Multiplication
  301.    wt: 3:   3 More One Digit Multipliers
  302.    wt: 3:   1 Why 3 times 5 gives 15
  303.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  304.    wt: 3:   7 Adding decimal fractions using decimal point
  305.    wt: 3:   6. Counting and adding units and mixed units
  306.    wt: 3:   5. How to add decimals C. Examples
  307.    wt: 3:   4. How to add with decimals B with conversions
  308.    wt: 3:   3. How to add with decimals A sans conversions
  309.    wt: 3:   1. Explaining Addition Table
  310.    wt: 3:   The 20 Times Table
  311.    wt: 3:   38 Formulas and derivatives for powers and roots
  312.    wt: 3:   28 Chain Rule Preparation for a Proof
  313.    wt: 3:   20 Chain Rule for Pulley Systems
  314.    wt: 3:   10 Power rule for negative integers
  315.    wt: 3:   6 Power rule from product rule
  316.    wt: 3:   5 Product Rule
  317.    wt: 3:   4 Sum Rule
  318.    wt: 3:   3 Motivation for Limit Definition Take 2
  319.    wt: 3:   2 Motivation for Limit Definition Take 1
  320.    wt: 3:   2 Algebraic codification
  321.    wt: 3:   Chapter 12 Four Phases
  322.    wt: 3:   Postscript C Consistency as a Tool for Reason
  323.    wt: 3:   Chapter 24 Direct and Indirect Reason
  324.    wt: 3:   Chapter 23 Truth Tables
  325.    wt: 3:   Chapter 21 Occurrence Tables
  326.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  327.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  328.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  329.    wt: 3:   Chapter 2 Skill Development
  330.    wt: 3:   Three Remarks
  331.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  332.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  333.    wt: 2:   Skills Chapter 3 Algebra
  334.    wt: 2:   4 algebra
  335.    wt: 2:   three goals to set for students
  336.    wt: 2:   Applied Maths Program14092009 POMME variant
  337.    wt: 2:   Secondary Three Mathematics
  338.    wt: 2:   talk the algebra talk
  339.    wt: 2:   three difficulties
  340.    wt: 2:   teaching tutoring algebraic reason
  341.    wt: 2:   04 29 New Mathematics Curriculum
  342.    wt: 2:   04 25 when to stop or suspend mathemat
  343.    wt: 2:   formal or informal peer review
  344.    wt: 2:   three kinds of reason in mathematics
  345.    wt: 2:   fairness and inductive principles for instruction
  346.    wt: 2:   2 Energy Power Heat07
  347.    wt: 2:   C Electromotive force conventional current02
  348.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  349.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  350.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  351.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  352.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  353.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  354.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  355.    wt: 2:   Ages 10 to 12 Geometry
  356.    wt: 2:   Ages 10 to 12 Arithmetic
  357.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  358.    wt: 2:   6 Set Existence Formation and Notation
  359.    wt: 2:   3 Formula or function graphing exercise
  360.    wt: 2:   8 quadratics backward use of various formulas
  361.    wt: 2:   7 quadratic formulla derivation
  362.    wt: 2:   2 quadratics graphing in general
  363.    wt: 2:   8 Notes for instructors or tutors
  364.    wt: 2:   2 Column Multiplication Method
  365.    wt: 2:   Rewriting algebraic substitution as function substitutions
  366.    wt: 2:   12 From Applied To Pure Mathematics
  367.    wt: 2:   2 Signed Coordinates
  368.    wt: 2:   4 graphing y=Asin(x c)
  369.    wt: 2:   3 graphing y=f(x c) plus K
  370.    wt: 2:   1 graphing y=f(x a)
  371.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  372.    wt: 2:   C Straight Lines Slope from Coordinates
  373.    wt: 2:   B Straight Line Slope Scaling Properties More
  374.    wt: 2:   A Straight Line Slope Scaling Properties
  375.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  376.    wt: 2:   12 Straight Lines Graphing mx plus b
  377.    wt: 2:   11 Straight Lines Graphing y=mx
  378.    wt: 2:   7 Tangent Function is odd on this domain
  379.    wt: 2:   5 Tangent Function Graph
  380.    wt: 2:   4 Tangent Function Properties
  381.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  382.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  383.    wt: 2:   20 sine and cosine Double Angle Formulas
  384.    wt: 2:   17D cis formulas for sine cosines and tangent
  385.    wt: 2:   12 Graph of tangent function for one period
  386.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  387.    wt: 2:   21 Logarithms Powers and Exponentials
  388.    wt: 2:   20 N th Roots of Complex Numbers
  389.    wt: 2:   2 Complex Numbers made easier we hope
  390.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  391.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  392.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  393.    wt: 2:   12 Triangles Similarity More Problems
  394.    wt: 2:   2 Similarity By Design
  395.    wt: 2:   12 Links Lessons elsewhere
  396.    wt: 2:   3 Slope product for perpendicular lines
  397.    wt: 2:   12 Spatial Coordinates
  398.    wt: 2:   2 Cartesian Coordinates with signs
  399.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  400.    wt: 2:   19 Right Triangle Similarity
  401.    wt: 2:   18 Triangle Similarity Take 1
  402.    wt: 2:   17 Right Bisectors of Triangle Sides
  403.    wt: 2:   16 Angles Subtended By Chords and Diameters
  404.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  405.    wt: 2:   14 Parallel Lines Postulate
  406.    wt: 2:   13 Angle Side Angle Failure
  407.    wt: 2:   11 Triangle Construction Fails
  408.    wt: 2:   10 Dropping a perpendicular to line
  409.    wt: 2:   9 Construction of a right bisector
  410.    wt: 2:   8 Isoceles Triangles
  411.    wt: 2:   7 Angle Side Angle
  412.    wt: 2:   6 Ruler and compass Angle Bisection
  413.    wt: 2:   5 Side Angle Side
  414.    wt: 2:   4 Side Side Side
  415.    wt: 2:   3 Isometry of Triangles Congruence
  416.    wt: 2:   1 Initial Concepts and Terms
  417.    wt: 2:   Short Course on Euclidean Geometry
  418.    wt: 2:   musings do not puiblish real numbers
  419.    wt: 2:   A Modular and Remainder Arithmetic
  420.    wt: 2:   A Signed Number Arithmetic Review
  421.    wt: 2:   9 Division with Digits after Decimal Point
  422.    wt: 2:   8 Division and Mulplication of Compound Fractions
  423.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  424.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  425.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  426.    wt: 2:   4 Location of Point in Decimal Addition
  427.    wt: 2:   3 Location of Point in Decimal Multiplication
  428.    wt: 2:   1 Fractions with Finite Decimal Expansions
  429.    wt: 2:   E Long Division Methods more
  430.    wt: 2:   D Long Division Methods
  431.    wt: 2:   B Decimal Comparison and Subtraction
  432.    wt: 2:   A Decimal Addition Columm Methods
  433.    wt: 2:   8 Column Multiplication Methods in General
  434.    wt: 2:   7 Decimals Multiplication Methods Examples
  435.    wt: 2:   1 The Counting Origins of Numbers
  436.    wt: 2:   6 Equations and Systems Equivalent or Implied
  437.    wt: 2:   4 Subtraction and Division Axioms
  438.    wt: 2:   1 Equivalent Computation Rules
  439.    wt: 2:   5 Greater More Less Than Signs in General
  440.    wt: 2:   4 Comparison of Negative Numbers
  441.    wt: 2:   3 More and Less Than with Unlike Signs
  442.    wt: 2:   1 Real Numbers Comparison
  443.    wt: 2:   7 Real Numbers as Line Cordinates
  444.    wt: 2:   6 Unsigned Real Numbers
  445.    wt: 2:   5 Rational Numbers More
  446.    wt: 2:   4 Rational Numbers
  447.    wt: 2:   3 Fractions
  448.    wt: 2:   1 Whole and Natural Numbers
  449.    wt: 2:   5 Independent versus Dependent Variables
  450.    wt: 2:   4 Changing Letters
  451.    wt: 2:   More Exercises
  452.    wt: 2:   Simple Exercises
  453.    wt: 2:   4 GE III Animated Examples
  454.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  455.    wt: 2:   3 GE III Equation Addition and Multiplication
  456.    wt: 2:   1 GE Substitution four examples
  457.    wt: 2:   Skill Development Notes
  458.    wt: 2:   10 One Example
  459.    wt: 2:   8 One Example
  460.    wt: 2:   7 Two Examples
  461.    wt: 2:   4 Two Examples
  462.    wt: 2:   3 Two Examples
  463.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  464.    wt: 2:   9 Sets in Probability and Statistics
  465.    wt: 2:   8 Sets of Numbers
  466.    wt: 2:   7 Cautious or Safe Set Construction
  467.    wt: 2:   6 Power Set Notation
  468.    wt: 2:   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:   14 GCD of 650 110 via Primes LCM via Product Rule
  477.    wt: 2:   8 GCD from Euclidean Algorithm
  478.    wt: 2:   2 Least Common Multiple LCM intro via list method
  479.    wt: 2:   3 Counting with Tables and Trees II
  480.    wt: 2:   1 Counting and Counting Methods I
  481.    wt: 2:   4 signed coordinates for regions in space
  482.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  483.    wt: 2:   2 Equality and Units
  484.    wt: 2:   D Three Term Ratios
  485.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  486.    wt: 2:   19 Dividing Fractions How TO
  487.    wt: 2:   13 Fraction Comparison Algebraic View
  488.    wt: 2:   12 Fraction Comparison
  489.    wt: 2:   11 Simplification an Algebraic View
  490.    wt: 2:   6 Multiplication Algebraically Take II
  491.    wt: 2:   A Associative Law Theorectical Note
  492.    wt: 2:   13 Subtraction with Additive Inverse
  493.    wt: 2:   11 Adding Integers Formulas and Examples
  494.    wt: 2:   10 Integer Multiplication Formulas
  495.    wt: 2:   21 Remainder Arithmetic Modulo 3
  496.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  497.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  498.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  499.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  500.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  501.    wt: 2:   5 Remainder Arithmetic Modulo 5
  502.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  503.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  504.    wt: 2:   1 Remainder Arithmetic Modulo 10
  505.    wt: 2:   19 video Prime Factorization Unique
  506.    wt: 2:   18 video Count Factors given Prime Factorization
  507.    wt: 2:   17 Identify and Count Factors using Primes
  508.    wt: 2:   16 video Factors of 980 using prime
  509.    wt: 2:   11 Efficient Square Rule Use
  510.    wt: 2:   9 video Prime Factorization upto 19 squared
  511.    wt: 2:   8 video Prime Factorization upto 19
  512.    wt: 2:   7 Calculator Usage Notes and Cautions
  513.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  514.    wt: 2:   5 Prime Factorization and a Square Rule
  515.    wt: 2:   4 video Prime Factorization Introduction
  516.    wt: 2:   3 video Primes and Composites from 9 times table
  517.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  518.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  519.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  520.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  521.    wt: 2:   Quick history of numbers and algebra
  522.    wt: 2:   Formula Evaluation how to show work
  523.    wt: 2:   The 12 Times Table Visually
  524.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  525.    wt: 2:   012 Division of Time Intervals by Time Intervals
  526.    wt: 2:   2 Time and Date Matters in School
  527.    wt: 2:   1 Intro of Kids To Time Date Skills
  528.    wt: 2:   Example 2 volume of a cone
  529.    wt: 2:   Example 1. Area Between x and x squared
  530.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  531.    wt: 2:   Example 3
  532.    wt: 2:   Example 2
  533.    wt: 2:   Area Between Curves Lesson Take 2
  534.    wt: 2:   A Chain Rule Real Player video examples
  535.    wt: 2:   30Chain Rule A Proof
  536.    wt: 2:   29 Chain Rule Optional Reading
  537.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  538.    wt: 2:   26 Chain Rule Recognising outer inner functions
  539.    wt: 2:   25 Chain Rule Animated Examples Continued
  540.    wt: 2:   24 Chain Rule Animated Examples
  541.    wt: 2:   23 Chain Rule in general
  542.    wt: 2:   19 Chain Rule for linear functions
  543.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  544.    wt: 2:   14 sine and cosine derivatives 2nd step
  545.    wt: 2:   12 Quotient rule examples
  546.    wt: 2:   11 Quotient rule
  547.    wt: 2:   9 Reciprocal rule
  548.    wt: 2:   8 Differentiation of polynomials
  549.    wt: 2:   7 Animated Differentiation Examples
  550.    wt: 2:   11 Limits at infinity Three Examples
  551.    wt: 2:   3 Decimal insights for limits continuity convergence
  552.    wt: 2:   E2 Algebraic Properties of Limits
  553.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  554.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  555.    wt: 2:   Chapter 23 Links To Trigonometry
  556.    wt: 2:   Chapter 21 Arrow Addition
  557.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  558.    wt: 2:   Chapter 12. Units and Slopes
  559.    wt: 2:   Chapter 2. Slopes and Ski Trails
  560.    wt: 2:   Postscript A Three Remarks
  561.    wt: 2:   Chapter 3 Algebra Difficulties
  562.    wt: 2:   Foreword
  563.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  564.    wt: 2:   Postscript B More on Story Telling and Reason
  565.    wt: 2:   Postscript A Story Telling
  566.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  567.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  568.    wt: 2:   Foreword
  569.    wt: 2:   L Skills with take home value
  570.    wt: 2:   G. Written work formats for developing and showing skill
  571.    wt: 2:   Chapter 2 Why Sets
  572.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  573.    wt: 2:   7 Games and Activities for Instruction
  574.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  575.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  576.    wt: 1:   Appendix 2 primary school Arithmetic 01
  577.    wt: 1:   G LAMP Introduction Problem Solving Skills
  578.    wt: 1:   Skills Chapter 5 Calculus
  579.    wt: 1:   Skills Chapter 4 Logic
  580.    wt: 1:   Ramblings Introduction Algebra Essay
  581.    wt: 1:   Skills Chapter 1 Arithmetic
  582.    wt: 1:   Skills Chapter 0 Introduction
  583.    wt: 1:   11 pure mathematics
  584.    wt: 1:   10 statistics
  585.    wt: 1:   9 combinatorics probability sets
  586.    wt: 1:   8 analytic geometry etc
  587.    wt: 1:   7 logic review and decimals an odd combination
  588.    wt: 1:   6 polynomials etc
  589.    wt: 1:   5 logarithms and exponentials etc
  590.    wt: 1:   3 Euclidean Geometry Leanly
  591.    wt: 1:   1 arithmetic with unsigned numbers
  592.    wt: 1:   What is POMME
  593.    wt: 1:   why bother
  594.    wt: 1:   permissions for teachers
  595.    wt: 1:   activities for students
  596.    wt: 1:   About site lesson plans
  597.    wt: 1:   learning takes time
  598.    wt: 1:   Postscript 2007 01 10
  599.    wt: 1:   Education Reform Inconsistencies
  600.    wt: 1:   Maps Plans Drawings
  601.    wt: 1:   how letters appear
  602.    wt: 1:   Secondary Two Mathematics
  603.    wt: 1:   Secondary One Mathematics
  604.    wt: 1:   teaching tips
  605.    wt: 1:   What to Tell Students
  606.    wt: 1:   mathematics curriculum shifts
  607.    wt: 1:   05 13 OldSiteEntrancePage
  608.    wt: 1:   standards for course material
  609.    wt: 1:   Four ways to improve education reform
  610.    wt: 1:   need for a mixed mathematics curriculum
  611.    wt: 1:   education an empirical art
  612.    wt: 1:   words for mathematics instructor
  613.    wt: 1:   chapitre 12 00 les iles et division
  614.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  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:   B Electromotive force conventional current01
  631.    wt: 1:   17 Math Booklets for children and young teenagers
  632.    wt: 1:   15 Counting For Parents
  633.    wt: 1:   10 Ends values for work study instruction
  634.    wt: 1:   5 Patience Please for Yourself and Your Charges
  635.    wt: 1:   4 Learning Takes Time and Effort
  636.    wt: 1:   3 Preparing for Science Studies
  637.    wt: 1:   1 Speaking Skills
  638.    wt: 1:   Ages 9 to 10
  639.    wt: 1:   Ages 8 to 9
  640.    wt: 1:   Ages 7 to 8
  641.    wt: 1:   Ages 6 to 7
  642.    wt: 1:   Ages 4 plus to 5 plus
  643.    wt: 1:   Ages 3 plus to 4 plus
  644.    wt: 1:   sign monoticity analysis example 4
  645.    wt: 1:   sign monoticity analysis example 3
  646.    wt: 1:   sign monoticity analysis example 1
  647.    wt: 1:   19 Horizontal line rule and method
  648.    wt: 1:   18 Vertical Line Rule and Method
  649.    wt: 1:   17 Function maxima minima and their location
  650.    wt: 1:   16 Increasing or decreasing on intervals
  651.    wt: 1:   15 Sign analysis of functions
  652.    wt: 1:   14 Surjections Injections Bijections
  653.    wt: 1:   13 From one to one to many to one
  654.    wt: 1:   11 Function Domain Range Source and Targets
  655.    wt: 1:   10 Interval Notation
  656.    wt: 1:   9 Set theory term relation possible origins
  657.    wt: 1:   8 Set view of relations and functions
  658.    wt: 1:   7 Functions with finite domains
  659.    wt: 1:   4 Function notation in and beyond mathematics
  660.    wt: 1:   1 Geometric Introduction of Function Notation
  661.    wt: 1:   Introduction Reading Guide
  662.    wt: 1:   A Quadratics Summary
  663.    wt: 1:   10 quadratic exercises
  664.    wt: 1:   9 quadratics physical and further context
  665.    wt: 1:   6 quadratics numerical approach
  666.    wt: 1:   5 quadratics completing the square
  667.    wt: 1:   4 quadratics difference of two squares
  668.    wt: 1:   3 quadratics factoring by inspection
  669.    wt: 1:   1 quadratics graphing exercises
  670.    wt: 1:   Quadratics in 10 steps
  671.    wt: 1:   7 Links Lessons Elsewhere
  672.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  673.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  674.    wt: 1:   4 Polynomials Long division linear divisor
  675.    wt: 1:   3 Polynomials Multiplication Addition
  676.    wt: 1:   1 Polynomials Distributive Law
  677.    wt: 1:   16 cotangent function Definition Graph and Inverse
  678.    wt: 1:   15 cosecant function Definition Graph and Inverse
  679.    wt: 1:   14 secant function Definition Graph and Inverse
  680.    wt: 1:   13 cosecant function Definition Graph and Inverse
  681.    wt: 1:   11 arctan left inverse of tangent Graph
  682.    wt: 1:   10 arctan left inverse of tangent Definition
  683.    wt: 1:   9 motivation for name arcsin
  684.    wt: 1:   4 possible motivation for term arccos
  685.    wt: 1:   2 cosine function more properties
  686.    wt: 1:   9 Summary Degrees to Radians and back
  687.    wt: 1:   2 Radian Measure Numerical Value of one degree
  688.    wt: 1:   15 Dot and Cross Product
  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:   7 Second Way to Calculate Products
  712.    wt: 1:   8 Triangles Cascade Problem Solving
  713.    wt: 1:   7 Trignometric Ratios Unit Circle
  714.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  715.    wt: 1:   3 Trigonometric Ratios sine and cosine
  716.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  717.    wt: 1:   4 Similarity Definition with Coordinate
  718.    wt: 1:   8 Mid Point Formula
  719.    wt: 1:   5 Algebraic View of Slopes
  720.    wt: 1:   13 Pythagorean spatial distance formulas
  721.    wt: 1:   10 Pythagorean plane distance formula
  722.    wt: 1:   2 Measuring Area Directly
  723.    wt: 1:   5 Square Roots with primes more still
  724.    wt: 1:   4 Square Roots with primes more
  725.    wt: 1:   3 Properties of Square Roots with example
  726.    wt: 1:   1 Squares and Square Roots Introduction
  727.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  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:   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:   A Similarities between Fractions and Two Term Ratios
  750.    wt: 1:   18 Efficient Ways to Multiply
  751.    wt: 1:   17 Efficient Ways to Add and Subtract
  752.    wt: 1:   16 Addition Subtraction Comparision Compared
  753.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  754.    wt: 1:   14 Adding and Subtracting with Like Denominators
  755.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  756.    wt: 1:   9 Improper Fractions and Mixed Numbers
  757.    wt: 1:   8 Numerals Fractionals Quantals Take II
  758.    wt: 1:   7 Numerals Fractionals Quantals
  759.    wt: 1:   6 Multiplication of Mixed Numbers
  760.    wt: 1:   5 Equivalent Fractions
  761.    wt: 1:   4 Fraction Multiplication
  762.    wt: 1:   3 Unit fraction of a fraction
  763.    wt: 1:   1 What is a fraction Take II
  764.    wt: 1:   1 What is a fraction
  765.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  766.    wt: 1:   D Remainders Modulo 11 Pair Rule
  767.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  768.    wt: 1:   B Integer Long Division Multiple Choices
  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:   Area Between Crossing Curves Lesson Take 1
  811.    wt: 1:   Example 4 with x function of y
  812.    wt: 1:   Example 1
  813.    wt: 1:   Area Between Curves Lesson Take 1
  814.    wt: 1:   Summary
  815.    wt: 1:   2 Indefinite Integrals Exercises
  816.    wt: 1:   1 Chain Rule in Reverse Integration Method
  817.    wt: 1:   2 Second derivative test prequel
  818.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  819.    wt: 1:   36 Cube root derivative animated
  820.    wt: 1:   34 Derivative of exponential function
  821.    wt: 1:   33 Chain Rule Real Player video examples
  822.    wt: 1:   31 Derivatives of inverse functions
  823.    wt: 1:   18 Chain Rule Introduction
  824.    wt: 1:   17 Derivatives of quotients of sine and cosine
  825.    wt: 1:   15 sine and cosine derivatives 3rd step
  826.    wt: 1:   13 sine and cosine derivatives 1st step
  827.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  828.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  829.    wt: 1:   10 Three one sided limits with infinite values
  830.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  831.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  832.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  833.    wt: 1:   F.4 Finite Covering Theorem
  834.    wt: 1:   F.2 Closed Range Theorem
  835.    wt: 1:   D2 Limits of Monotone Sequences
  836.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  837.    wt: 1:   PostScript For and Against Decimal Perspectives
  838.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  839.    wt: 1:   Fall 1983 Calculus Appetizer
  840.    wt: 1:   Foreword
  841.    wt: 1:   Annotated Links to Material Elsehwere
  842.    wt: 1:   Postscript B Mathematics Education References
  843.    wt: 1:   Chapter 11 Elementary Instruction
  844.    wt: 1:   Chapter 10 Transition
  845.    wt: 1:   Chapter 9 The Two Ends
  846.    wt: 1:   Chapter 8 Modern Instruction
  847.    wt: 1:   Chapter 7 Two Treatments of Geometry
  848.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  849.    wt: 1:   Chapter 5 Four References
  850.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  851.    wt: 1:   Chapter 1 Introduction
  852.    wt: 1:   Chapter 18 Sense and Knowledge
  853.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  854.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  855.    wt: 1:   Chapter 15 Objective Processes
  856.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  857.    wt: 1:   Chapter 11 Accidental Patterns
  858.    wt: 1:   Chapter 10 Responsibility
  859.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  860.    wt: 1:   Chapter 8 Change of Language
  861.    wt: 1:   Chapter 7 Longer Chains of Reason
  862.    wt: 1:   Chapter 6 Chains of Reason
  863.    wt: 1:   Chapter 5 Deception
  864.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  865.    wt: 1:   Chapter 1 Introduction
  866.    wt: 1:   S Adding words to algebra
  867.    wt: 1:   R Why Learn Mathematics Skills
  868.    wt: 1:   N Mathematics Prepare for College Studies
  869.    wt: 1:   I. Logic and language skills
  870.    wt: 1:   B. Domino effect of errors
  871.    wt: 1:   How to Build Skills and Confidence
  872.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  873.    wt: 1:   Chapter 6 More Algebra and Geometry
  874.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  875.    wt: 1:   Chapter 3 Algebra Starter Lessons
  876.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  877.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  878.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  879.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  880.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  881.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  882.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  883.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  884.    wt: 1:   More Algebra and Slope based Calculus Preview
  885.    wt: 1:   Systematic Algebra Skill Development Missing Links
  886.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  887.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  888.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  889.    wt: 1:   The Math Forum and Site Content
  890.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  891.    wt: 10:   Chapter 8 Three Skills For Algebra

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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