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

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

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


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

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

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

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

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  1.    wt: 6:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 6:   Volume 2 Three Skills For Algebra/
  3.    wt: 5:   2 Formula Forward Use Evaluation/
  4.    wt: 4:   8 Unifying Theme For Algebra/
  5.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  7.    wt: 3:   10 Examples of Algebraic Reasoning/
  8.    wt: 3:   9 Proportionality Backwards and Forwards/
  9.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  10.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  11.    wt: 3:   D Decimal Long Division Methods/
  12.    wt: 3:   C Decimal Multiplication Methods/
  13.    wt: 3:   A Decimal Counting and Adding Methods/
  14.    wt: 3:   2 Arithmetic with Decimals/
  15.    wt: 2:   12 Function Translating and Rescaling/
  16.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  17.    wt: 2:   B Real Numbers Extrinsic Development/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  20.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  21.    wt: 2:   5 Real Numbers/
  22.    wt: 2:   4 Computation Rules and Function Notation/
  23.    wt: 2:   Step 4 Gaussian Elimination/
  24.    wt: 2:   Step 1 Stick diagram and fractions/
  25.    wt: 2:   3 Solving Linear Equations/
  26.    wt: 2:   1 Working With Sets/
  27.    wt: 2:   Algebra Starter Lessons/
  28.    wt: 2:   7 Arithmetic and Fractions with Units/
  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:   9 Combinatorics Trees Tables and Products/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  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

439 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 3:   02 21 words for teachers
  5.    wt: 3:   26 Formulas for products of sines and cosines
  6.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  7.    wt: 3:   12 cis formulas for sine cosines and tangent
  8.    wt: 3:   4 Equations for lines three forms
  9.    wt: 3:   12 GCD 2700 288 via Prime
  10.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  11.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  12.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  13.    wt: 3:   22 Chain Rule for polynomials
  14.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  15.    wt: 2:   Skills Chapter 3 Algebra
  16.    wt: 2:   Skills Chapter 2 Geometry
  17.    wt: 2:   three goals to set for students
  18.    wt: 2:   geometric implications for algebra
  19.    wt: 2:   three goals for Mathematics Education
  20.    wt: 2:   02 20 mathematics education references
  21.    wt: 2:   three aims for mathematics students
  22.    wt: 2:   formal or informal peer review
  23.    wt: 2:   Prequel In For A Penny In For A Pound
  24.    wt: 2:   2 Conductance Resistance Duality02
  25.    wt: 2:   C Electromotive force conventional current02
  26.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  27.    wt: 2:   24 Standards For Skill Develoment Take II
  28.    wt: 2:   24 Standards For Skill Develoment
  29.    wt: 2:   22 Student Centered Highschool Mathematics
  30.    wt: 2:   12 Goals and Objectives For Mathematics
  31.    wt: 2:   2 Reading and Writing Skills
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  34.    wt: 2:   22 Square Root function graphically
  35.    wt: 2:   20 Interchanging coordinates a reflection
  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:   7 Converting or Changing Units
  70.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  71.    wt: 2:   2 Equality and Units
  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:   6. Counting and adding units and mixed units
  83.    wt: 2:   4 Mixing and Changing Units of Time
  84.    wt: 2:   38 Formulas and derivatives for powers and roots
  85.    wt: 2:   28 Chain Rule Preparation for a Proof
  86.    wt: 2:   21 Chain Rule for powers
  87.    wt: 2:   20 Chain Rule for Pulley Systems
  88.    wt: 2:   3 Motivation for Limit Definition Take 2
  89.    wt: 2:   2 Motivation for Limit Definition Take 1
  90.    wt: 2:   2 Algebraic codification
  91.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  92.    wt: 2:   E2 Algebraic Properties of Limits
  93.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  94.    wt: 2:   Chapter 22 Complex Numbers
  95.    wt: 2:   Chapter 12. Units and Slopes
  96.    wt: 2:   Postscript For Better Performance
  97.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  98.    wt: 2:   Chapter 23. Notation For Sums
  99.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  100.    wt: 2:   Chapter 18. Rules for Algebra
  101.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  102.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  103.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  104.    wt: 2:   Chapter 2 For and Against Mathematics
  105.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  106.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  107.    wt: 2:   G. Written work formats for developing and showing skill
  108.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  109.    wt: 1:   Appendix 2 primary school Arithmetic 01
  110.    wt: 1:   G LAMP Introduction Problem Solving Skills
  111.    wt: 1:   Skills Chapter 5 Calculus
  112.    wt: 1:   Skills Chapter 4 Logic
  113.    wt: 1:   Ramblings Introduction Algebra Essay
  114.    wt: 1:   Skills Chapter 1 Arithmetic
  115.    wt: 1:   Skills Chapter 0 Introduction
  116.    wt: 1:   4 algebra
  117.    wt: 1:   2 arithmetic with signed numbers
  118.    wt: 1:   permissions for teachers
  119.    wt: 1:   Applied Maths Program14092009 POMME variant
  120.    wt: 1:   activities for students
  121.    wt: 1:   Postscript 2007 01 10
  122.    wt: 1:   Education Reform Inconsistencies
  123.    wt: 1:   Secondary Three Mathematics
  124.    wt: 1:   talk the algebra talk
  125.    wt: 1:   three difficulties
  126.    wt: 1:   teaching tutoring algebraic reason
  127.    wt: 1:   Lessening Algebra Difficulties
  128.    wt: 1:   the trouble with algebra
  129.    wt: 1:   04 29 New Mathematics Curriculum
  130.    wt: 1:   04 25 when to stop or suspend mathemat
  131.    wt: 1:   standards for course material
  132.    wt: 1:   three kinds of reason in mathematics
  133.    wt: 1:   Four ways to improve education reform
  134.    wt: 1:   need for a mixed mathematics curriculum
  135.    wt: 1:   fairness and inductive principles for instruction
  136.    wt: 1:   words for mathematics instructor
  137.    wt: 1:   chapitre 12 00 les iles et division
  138.    wt: 1:   chapitre 04 02 Deuxieme enigme
  139.    wt: 1:   chapitre 02 00 La Communication des idees
  140.    wt: 1:   2 Energy Power Heat07
  141.    wt: 1:   B Energy Power02
  142.    wt: 1:   D Wire Resistance Calculation02
  143.    wt: 1:   B Wire Resistance Qualitative02
  144.    wt: 1:   2 Unlike resistors in parallel01
  145.    wt: 1:   H Series Circuit02
  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:   12 Function Domain Recognition Exercises
  173.    wt: 1:   6 Set Existence Formation and Notation
  174.    wt: 1:   3 Formula or function graphing exercise
  175.    wt: 1:   8 quadratics backward use of various formulas
  176.    wt: 1:   7 quadratic formulla derivation
  177.    wt: 1:   2 quadratics graphing in general
  178.    wt: 1:   2 Square Root Simplification a prequel
  179.    wt: 1:   8 Notes for instructors or tutors
  180.    wt: 1:   2 Column Multiplication Method
  181.    wt: 1:   Rewriting algebraic substitution as function substitutions
  182.    wt: 1:   9 motivation for name arcsin
  183.    wt: 1:   4 possible motivation for term arccos
  184.    wt: 1:   2 cosine function more properties
  185.    wt: 1:   2 Radian Measure Numerical Value of one degree
  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:   28 Expressing products of sines cosines as sums
  202.    wt: 1:   27 Logarithmic use of products of sines and cosines
  203.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  204.    wt: 1:   17C sine and cosine double triple angle formulas
  205.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  206.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  207.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  208.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  209.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  210.    wt: 1:   2 Quadrant I reference Angles
  211.    wt: 1:   21 Logarithms Powers and Exponentials
  212.    wt: 1:   20 N th Roots of Complex Numbers
  213.    wt: 1:   11 sine and cosine double triple angle formulas
  214.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  215.    wt: 1:   2 Complex Numbers made easier we hope
  216.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  217.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  218.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  219.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  220.    wt: 1:   12 Triangles Similarity More Problems
  221.    wt: 1:   2 Similarity By Design
  222.    wt: 1:   12 Links Lessons elsewhere
  223.    wt: 1:   8 Mid Point Formula
  224.    wt: 1:   5 Algebraic View of Slopes
  225.    wt: 1:   3 Slope product for perpendicular lines
  226.    wt: 1:   13 Pythagorean spatial distance formulas
  227.    wt: 1:   12 Spatial Coordinates
  228.    wt: 1:   10 Pythagorean plane distance formula
  229.    wt: 1:   2 Cartesian Coordinates with signs
  230.    wt: 1:   PS H Distributive Law For Complex Numbers
  231.    wt: 1:   21 Parallelograms
  232.    wt: 1:   12 Side Angle Side Failure
  233.    wt: 1:   2 Correspondence between Triangles
  234.    wt: 1:   2 Measuring Area Directly
  235.    wt: 1:   26 More Less Greater Than Comparison
  236.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  237.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  238.    wt: 1:   23 Distributive Law Two Derivations
  239.    wt: 1:   21 Addition of Multiples of a Single Vector
  240.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  241.    wt: 1:   12 Real Numbers Line Signed Coordinates
  242.    wt: 1:   2 Counting Digits in Decimal Multiplication
  243.    wt: 1:   C Three Decimal Subtraction Methods
  244.    wt: 1:   6 Column Methods for Decimal Multiplication
  245.    wt: 1:   5 Distributive Law for Whole Numbers
  246.    wt: 1:   4 Commutative Law Groups Counting Form
  247.    wt: 1:   3 Multiplicative Counting Skills Principles
  248.    wt: 1:   3 Inequalities Algebraically
  249.    wt: 1:   2 Fraction Operations Physical Development
  250.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  251.    wt: 1:   6 Compound Interest Forward and Backwards
  252.    wt: 1:   5 Triangle Area Formula Backwards
  253.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  254.    wt: 1:   2 Linear Equation Literal Solution
  255.    wt: 1:   1 Changing Calculations
  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:   4 Changing Letters
  264.    wt: 1:   3 Geometric Formulas and Function Notation
  265.    wt: 1:   2 Computation Rules Evaluation
  266.    wt: 1:   1 Formulas Dependence and Function Notation
  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:   6 Simplification of Fractions with Units
  295.    wt: 1:   4 Fractions with Units
  296.    wt: 1:   3 Multiplying Units and Numbers
  297.    wt: 1:   1 Addition and Subtraction with Units
  298.    wt: 1:   D Three Term Ratios
  299.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  300.    wt: 1:   21 Working With Signs
  301.    wt: 1:   20 Dividing Fractions the Why
  302.    wt: 1:   13 Fraction Comparison Algebraic View
  303.    wt: 1:   12 Fraction Comparison
  304.    wt: 1:   11 Simplification an Algebraic View
  305.    wt: 1:   6 Multiplication Algebraically Take II
  306.    wt: 1:   2 Unit Fraction Multiplication
  307.    wt: 1:   12 Adding Integers More Examples
  308.    wt: 1:   11 Adding Integers Formulas and Examples
  309.    wt: 1:   10 Integer Multiplication Formulas
  310.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  311.    wt: 1:   21 Remainder Arithmetic Modulo 3
  312.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  313.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  314.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  315.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  316.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  317.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  318.    wt: 1:   20 Uniqueness of Prime Factorization
  319.    wt: 1:   15 video Factors of 20 using Prime Factorization
  320.    wt: 1:   14 video Factors of 24 Take II
  321.    wt: 1:   13 video Factors of 24 using prime
  322.    wt: 1:   12 LCD GCD and LCM using Primes
  323.    wt: 1:   10 video Prime Factorization upto 23 squared
  324.    wt: 1:   2 Prime and Composites less than 16
  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:   8 Subtraction with Units of Measure
  336.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  337.    wt: 1:   5 A Tip for Efficent Subtraction
  338.    wt: 1:   2 Subtraction Easy Case Examples
  339.    wt: 1:   8 What skills and work habits to require
  340.    wt: 1:   2 Decimal Counting Practices
  341.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  342.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  343.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  344.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  345.    wt: 1:   Quick history of numbers and algebra
  346.    wt: 1:   Formula Evaluation how to show work
  347.    wt: 1:   The 20 Times Table
  348.    wt: 1:   The 12 Times Table Visually
  349.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  350.    wt: 1:   012 Division of Time Intervals by Time Intervals
  351.    wt: 1:   3 Units and Lengths of Time
  352.    wt: 1:   2 Time and Date Matters in School
  353.    wt: 1:   1 Intro of Kids To Time Date Skills
  354.    wt: 1:   Example 2 volume of a cone
  355.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  356.    wt: 1:   Example 2
  357.    wt: 1:   Area Between Curves Lesson Take 2
  358.    wt: 1:   2 Indefinite Integrals Exercises
  359.    wt: 1:   2 Second derivative test prequel
  360.    wt: 1:   29 Chain Rule Optional Reading
  361.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  362.    wt: 1:   26 Chain Rule Recognising outer inner functions
  363.    wt: 1:   25 Chain Rule Animated Examples Continued
  364.    wt: 1:   24 Chain Rule Animated Examples
  365.    wt: 1:   23 Chain Rule in general
  366.    wt: 1:   19 Chain Rule for linear functions
  367.    wt: 1:   14 sine and cosine derivatives 2nd step
  368.    wt: 1:   12 Quotient rule examples
  369.    wt: 1:   10 Power rule for negative integers
  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 10 Slopes and Units
  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:   Chapter 10 Describing and Changing Calculations
  397.    wt: 1:   Solutions For Arithmetic Exercises
  398.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  399.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  400.    wt: 1:   Foreword
  401.    wt: 1:   Postscript A Three Remarks
  402.    wt: 1:   Chapter 12 Four Phases
  403.    wt: 1:   Chapter 3 Algebra Difficulties
  404.    wt: 1:   Foreword
  405.    wt: 1:   Postscript C Consistency as a Tool for Reason
  406.    wt: 1:   Chapter 24 Direct and Indirect Reason
  407.    wt: 1:   Chapter 23 Truth Tables
  408.    wt: 1:   Chapter 21 Occurrence Tables
  409.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  410.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  411.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  412.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  413.    wt: 1:   Chapter 2 Skill Development
  414.    wt: 1:   Three Remarks
  415.    wt: 1:   Foreword
  416.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  417.    wt: 1:   S Adding words to algebra
  418.    wt: 1:   R Why Learn Mathematics Skills
  419.    wt: 1:   N Mathematics Prepare for College Studies
  420.    wt: 1:   L Skills with take home value
  421.    wt: 1:   I. Logic and language skills
  422.    wt: 1:   How to Build Skills and Confidence
  423.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  424.    wt: 1:   Chapter 6 More Algebra and Geometry
  425.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  426.    wt: 1:   Chapter 3 Algebra Starter Lessons
  427.    wt: 1:   Chapter 2 Why Sets
  428.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  429.    wt: 1:   7 Games and Activities for Instruction
  430.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  431.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  432.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  433.    wt: 1:   More Algebra and Slope based Calculus Preview
  434.    wt: 1:   Systematic Algebra Skill Development Missing Links
  435.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  436.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  437.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  438.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  439.    wt: 1:   The Math Forum and Site Content

Extended Search

889 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  3.    wt: 9:   Chapter 23. Notation For Sums
  4.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  5.    wt: 8:   Postscript For Better Performance
  6.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  7.    wt: 8:   Chapter 28 Occurrence Tables
  8.    wt: 8:   Chapter 27 Shorthand Symbols as Pronouns
  9.    wt: 8:   Chapter 25. Mathematical Induction Examples
  10.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  11.    wt: 8:   Chapter 21. Third Reading Guide
  12.    wt: 8:   Chapter 20. Degrees and Radians
  13.    wt: 8:   Chapter 18. Rules for Algebra
  14.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  15.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  16.    wt: 8:   Chapter 12. Shorthand Usage Guide
  17.    wt: 7:   6 Algebraic Solution Example
  18.    wt: 7:   5 Algebraic Solutions Introduction
  19.    wt: 7:   2 Another Rectangle Area Formula Example
  20.    wt: 7:   1 Written work formats for developing and showing skill
  21.    wt: 7:   Postscript More on Better Performance
  22.    wt: 7:   Appendix B. How To Learn
  23.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  24.    wt: 7:   Chapter 10 Describing and Changing Calculations
  25.    wt: 7:   Solutions For Arithmetic Exercises
  26.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  27.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  28.    wt: 7:   Foreword
  29.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  30.    wt: 6:   2 Algebraic View
  31.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  32.    wt: 6:   2 Essentially one exercises three with solution
  33.    wt: 6:   4 Four Examples Fractional Coefficients
  34.    wt: 6:   3 Four Examples
  35.    wt: 6:   1 Proper Equal Sign Usage
  36.    wt: 6:   13 Naming Identifying Formulas with Words
  37.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  38.    wt: 6:   8 Compound Interest Formula Evaluation
  39.    wt: 6:   7 Compound Interest Formula Introduction
  40.    wt: 6:   5 Box Volume Formula Example
  41.    wt: 6:   4 Circle Area Formula Example
  42.    wt: 6:   3 Triangle Area Formula Example
  43.    wt: 6:   1 Three Skills For Algebra
  44.    wt: 6:   Long Division forwards and backwards Example 2
  45.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  46.    wt: 6:   9 22 Minute Subtraction Review Video
  47.    wt: 6:   2 Subtraction Easy Case Examples
  48.    wt: 6:   Appendix E. How To Study Mathematics and Why
  49.    wt: 6:   Appendix D. What to do in School and Why
  50.    wt: 6:   Appendix C. How to Read
  51.    wt: 6:   Chapter 31 Direct and Indirect Reason
  52.    wt: 6:   Chapter 30 Truth Tables
  53.    wt: 6:   Chapter 19. Functions and Sets
  54.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  55.    wt: 6:   Chapter 16. Painless Theorem Proving
  56.    wt: 6:   Chapter 15. Solving Linear Equations
  57.    wt: 6:   Chapter 13. Second Reading Guide
  58.    wt: 6:   Chapter 11. Why Shorthand
  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:   1 Changing Calculations
  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:   8 Subtraction with Units of Measure
  93.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  94.    wt: 5:   5 A Tip for Efficent Subtraction
  95.    wt: 5:   6. Counting and adding units and mixed units
  96.    wt: 5:   2 Decimal Counting Practices
  97.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  98.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  99.    wt: 4:   three goals for Mathematics Education
  100.    wt: 4:   02 21 words for teachers
  101.    wt: 4:   22 Student Centered Highschool Mathematics
  102.    wt: 4:   Ages 12 to 14 Skills with take home value
  103.    wt: 4:   20 Interchanging coordinates a reflection
  104.    wt: 4:   2 Algebraic use of function notation
  105.    wt: 4:   26 Formulas for products of sines and cosines
  106.    wt: 4:   12 cis formulas for sine cosines and tangent
  107.    wt: 4:   PS H Distributive Law For Complex Numbers
  108.    wt: 4:   PS B Parallelogram Construction Methods
  109.    wt: 4:   21 Parallelograms
  110.    wt: 4:   12 Side Angle Side Failure
  111.    wt: 4:   2 Correspondence between Triangles
  112.    wt: 4:   22 Multiplication of Signed Numbers
  113.    wt: 4:   21 Addition of Multiples of a Single Vector
  114.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  115.    wt: 4:   12 Real Numbers Line Signed Coordinates
  116.    wt: 4:   3 Inequalities Algebraically
  117.    wt: 4:   2 Fraction Operations Physical Development
  118.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  119.    wt: 4:   3 Linear Equation Literal Solution More
  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:   7 Converting or Changing Units
  129.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  130.    wt: 4:   2 Equality and Units
  131.    wt: 4:   22 Complex Compound Fractions
  132.    wt: 4:   21 Reciprocals for Fractions and Wholes
  133.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  134.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  135.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  136.    wt: 4:   20 Uniqueness of Prime Factorization
  137.    wt: 4:   12 LCD GCD and LCM using Primes
  138.    wt: 4:   2 Prime and Composites less than 16
  139.    wt: 4:   Long Division Backwards more
  140.    wt: 4:   Long Division Backward
  141.    wt: 4:   Long Division forwards and backwards Example 1
  142.    wt: 4:   4 Division with 2 Digit Divsors
  143.    wt: 4:   A Elementary Basis for Multiplication Methods
  144.    wt: 4:   4 Two and Three Digit Multipliers
  145.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  146.    wt: 4:   Subtraction with J Conversions Example
  147.    wt: 4:   Subtraction Another Video Lesson
  148.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  149.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  150.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  151.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  152.    wt: 4:   8 What skills and work habits to require
  153.    wt: 4:   22 Chain Rule for polynomials
  154.    wt: 4:   21 Chain Rule for powers
  155.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  156.    wt: 4:   Chapter 22 Complex Numbers
  157.    wt: 4:   Chapter 2 For and Against Mathematics
  158.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  159.    wt: 3:   Skills Chapter 2 Geometry
  160.    wt: 3:   2 arithmetic with signed numbers
  161.    wt: 3:   geometric implications for algebra
  162.    wt: 3:   Lessening Algebra Difficulties
  163.    wt: 3:   the trouble with algebra
  164.    wt: 3:   02 20 mathematics education references
  165.    wt: 3:   three aims for mathematics students
  166.    wt: 3:   Prequel In For A Penny In For A Pound
  167.    wt: 3:   B Energy Power02
  168.    wt: 3:   2 Conductance Resistance Duality02
  169.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  170.    wt: 3:   24 Standards For Skill Develoment Take II
  171.    wt: 3:   24 Standards For Skill Develoment
  172.    wt: 3:   12 Goals and Objectives For Mathematics
  173.    wt: 3:   2 Reading and Writing Skills
  174.    wt: 3:   Ages 12 to 14 Geometry
  175.    wt: 3:   Ages 12 to 14 Arithmetic
  176.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  177.    wt: 3:   sign monoticity analysis example 2
  178.    wt: 3:   26 Function definitions done and coming
  179.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  180.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  181.    wt: 3:   23 Inverse Functions
  182.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  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:   4 Equations for lines three forms
  200.    wt: 3:   2 point slope equation for a line
  201.    wt: 3:   PS G Rotation Distributes over Addition
  202.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  203.    wt: 3:   PS E Multiplication with Polar Coordinates
  204.    wt: 3:   PS D Addition with Cartesian Coordinates
  205.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  206.    wt: 3:   PS A Kite Construction Methods
  207.    wt: 3:   26 More Less Greater Than Comparison
  208.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  209.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  210.    wt: 3:   23 Distributive Law Two Derivations
  211.    wt: 3:   19 Signed Multiples of Vectors
  212.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  213.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  214.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  215.    wt: 3:   15 Head to Tails in place Addition Associative
  216.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  217.    wt: 3:   13 Arrows and Vectors in a Plane
  218.    wt: 3:   11 Signed Number Addition and Addition Properties
  219.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  220.    wt: 3:   2 Counting Digits in Decimal Multiplication
  221.    wt: 3:   C Three Decimal Subtraction Methods
  222.    wt: 3:   6 Column Methods for Decimal Multiplication
  223.    wt: 3:   5 Distributive Law for Whole Numbers
  224.    wt: 3:   4 Commutative Law Groups Counting Form
  225.    wt: 3:   3 Multiplicative Counting Skills Principles
  226.    wt: 3:   5 Areas of Rectangles Revisited
  227.    wt: 3:   4 Fraction Operations Axiomatic Development
  228.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  229.    wt: 3:   5 Proportionality in Equivalent Fractions
  230.    wt: 3:   4 Rates Ratios and Proporitionality
  231.    wt: 3:   3 Proportionality Examples
  232.    wt: 3:   1 What is Proportionality
  233.    wt: 3:   5 Equality in Algebra
  234.    wt: 3:   3 Product Axioms Two Forms
  235.    wt: 3:   2 Addition and Multiplication Axioms
  236.    wt: 3:   16 Real Numbers Comparison
  237.    wt: 3:   15 Real Number Division
  238.    wt: 3:   14 Real Number Multiplication
  239.    wt: 3:   13 Real Number Subtraction
  240.    wt: 3:   11 Real Number Addition
  241.    wt: 3:   10 Real Number Lengths and Signs
  242.    wt: 3:   9 Coordinates for Regions in Space
  243.    wt: 3:   8 Coordinates for Maps and Planes
  244.    wt: 3:   2 Integers
  245.    wt: 3:   4 Changing Letters
  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:   2 Venn Diagrams
  257.    wt: 3:   6 Three Notions of What is a Variable
  258.    wt: 3:   4 A Brief Story of numbers and algebra
  259.    wt: 3:   2 What is a Variable
  260.    wt: 3:   4 Greater More Less Than Signs in General
  261.    wt: 3:   3 Comparison of Negative Numbers
  262.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  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:   3 signed coordinates for maps and planes
  266.    wt: 3:   2 signed and unsigned numbers as coordinates
  267.    wt: 3:   6 Simplification of Fractions with Units
  268.    wt: 3:   4 Fractions with Units
  269.    wt: 3:   3 Multiplying Units and Numbers
  270.    wt: 3:   1 Addition and Subtraction with Units
  271.    wt: 3:   21 Working With Signs
  272.    wt: 3:   20 Dividing Fractions the Why
  273.    wt: 3:   2 Unit Fraction Multiplication
  274.    wt: 3:   12 Adding Integers More Examples
  275.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  276.    wt: 3:   26 Divisibility by 2 3 5 Example
  277.    wt: 3:   23 Remainder Arithmetic Modulo 2
  278.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  279.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  280.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  281.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  282.    wt: 3:   15 video Factors of 20 using Prime Factorization
  283.    wt: 3:   14 video Factors of 24 Take II
  284.    wt: 3:   13 video Factors of 24 using prime
  285.    wt: 3:   10 video Prime Factorization upto 23 squared
  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:   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:   4 Mixing and Changing Units of Time
  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:   4 Sum Rule
  316.    wt: 3:   3 Motivation for Limit Definition Take 2
  317.    wt: 3:   2 Motivation for Limit Definition Take 1
  318.    wt: 3:   2 Algebraic codification
  319.    wt: 3:   Chapter 12. Units and Slopes
  320.    wt: 3:   Chapter 12 Four Phases
  321.    wt: 3:   Postscript C Consistency as a Tool for Reason
  322.    wt: 3:   Chapter 24 Direct and Indirect Reason
  323.    wt: 3:   Chapter 23 Truth Tables
  324.    wt: 3:   Chapter 21 Occurrence Tables
  325.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  326.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  327.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  328.    wt: 3:   Chapter 2 Skill Development
  329.    wt: 3:   Three Remarks
  330.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  331.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  332.    wt: 2:   Skills Chapter 3 Algebra
  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:   5 Trigonometric Ratios For Tangent and Special Triangles
  394.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  395.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  396.    wt: 2:   12 Triangles Similarity More Problems
  397.    wt: 2:   2 Similarity By Design
  398.    wt: 2:   12 Links Lessons elsewhere
  399.    wt: 2:   12 Spatial Coordinates
  400.    wt: 2:   2 Cartesian Coordinates with signs
  401.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  402.    wt: 2:   19 Right Triangle Similarity
  403.    wt: 2:   18 Triangle Similarity Take 1
  404.    wt: 2:   17 Right Bisectors of Triangle Sides
  405.    wt: 2:   16 Angles Subtended By Chords and Diameters
  406.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  407.    wt: 2:   14 Parallel Lines Postulate
  408.    wt: 2:   13 Angle Side Angle Failure
  409.    wt: 2:   11 Triangle Construction Fails
  410.    wt: 2:   10 Dropping a perpendicular to line
  411.    wt: 2:   9 Construction of a right bisector
  412.    wt: 2:   8 Isoceles Triangles
  413.    wt: 2:   7 Angle Side Angle
  414.    wt: 2:   6 Ruler and compass Angle Bisection
  415.    wt: 2:   5 Side Angle Side
  416.    wt: 2:   4 Side Side Side
  417.    wt: 2:   3 Isometry of Triangles Congruence
  418.    wt: 2:   1 Initial Concepts and Terms
  419.    wt: 2:   Short Course on Euclidean Geometry
  420.    wt: 2:   musings do not puiblish real numbers
  421.    wt: 2:   A Modular and Remainder Arithmetic
  422.    wt: 2:   A Signed Number Arithmetic Review
  423.    wt: 2:   9 Division with Digits after Decimal Point
  424.    wt: 2:   8 Division and Mulplication of Compound Fractions
  425.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  426.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  427.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  428.    wt: 2:   4 Location of Point in Decimal Addition
  429.    wt: 2:   3 Location of Point in Decimal Multiplication
  430.    wt: 2:   1 Fractions with Finite Decimal Expansions
  431.    wt: 2:   E Long Division Methods more
  432.    wt: 2:   D Long Division Methods
  433.    wt: 2:   B Decimal Comparison and Subtraction
  434.    wt: 2:   A Decimal Addition Columm Methods
  435.    wt: 2:   8 Column Multiplication Methods in General
  436.    wt: 2:   7 Decimals Multiplication Methods Examples
  437.    wt: 2:   1 The Counting Origins of Numbers
  438.    wt: 2:   6 Equations and Systems Equivalent or Implied
  439.    wt: 2:   4 Subtraction and Division Axioms
  440.    wt: 2:   1 Equivalent Computation Rules
  441.    wt: 2:   5 Greater More Less Than Signs in General
  442.    wt: 2:   4 Comparison of Negative Numbers
  443.    wt: 2:   3 More and Less Than with Unlike Signs
  444.    wt: 2:   1 Real Numbers Comparison
  445.    wt: 2:   7 Real Numbers as Line Cordinates
  446.    wt: 2:   6 Unsigned Real Numbers
  447.    wt: 2:   5 Rational Numbers More
  448.    wt: 2:   4 Rational Numbers
  449.    wt: 2:   3 Fractions
  450.    wt: 2:   1 Whole and Natural Numbers
  451.    wt: 2:   5 Independent versus Dependent Variables
  452.    wt: 2:   More Exercises
  453.    wt: 2:   Simple Exercises
  454.    wt: 2:   4 GE III Animated Examples
  455.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  456.    wt: 2:   3 GE III Equation Addition and Multiplication
  457.    wt: 2:   1 GE Substitution four examples
  458.    wt: 2:   Skill Development Notes
  459.    wt: 2:   10 One Example
  460.    wt: 2:   8 One Example
  461.    wt: 2:   7 Two Examples
  462.    wt: 2:   4 Two Examples
  463.    wt: 2:   3 Two Examples
  464.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  465.    wt: 2:   9 Sets in Probability and Statistics
  466.    wt: 2:   8 Sets of Numbers
  467.    wt: 2:   7 Cautious or Safe Set Construction
  468.    wt: 2:   6 Power Set Notation
  469.    wt: 2:   5 Product Builder Notation
  470.    wt: 2:   4 Subset Builder Notation
  471.    wt: 2:   3 Counting with Sets etc
  472.    wt: 2:   1 Finite Sets
  473.    wt: 2:   5 Talking about Numbers and Quantities
  474.    wt: 2:   3 Adding Words To Arithmetic
  475.    wt: 2:   About Folder Contents
  476.    wt: 2:   arithmetic videos Real Player Format
  477.    wt: 2:   2 Square Roots with Prime
  478.    wt: 2:   8 GCD from Euclidean Algorithm
  479.    wt: 2:   2 Least Common Multiple LCM intro via list method
  480.    wt: 2:   2 Counting with Tables and Trees I
  481.    wt: 2:   4 signed coordinates for regions in space
  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:   3 Units and Lengths of Time
  525.    wt: 2:   2 Time and Date Matters in School
  526.    wt: 2:   1 Intro of Kids To Time Date Skills
  527.    wt: 2:   Example 2 volume of a cone
  528.    wt: 2:   Example 1. Area Between x and x squared
  529.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  530.    wt: 2:   Example 3
  531.    wt: 2:   Example 2
  532.    wt: 2:   Area Between Curves Lesson Take 2
  533.    wt: 2:   A Chain Rule Real Player video examples
  534.    wt: 2:   30Chain Rule A Proof
  535.    wt: 2:   29 Chain Rule Optional Reading
  536.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  537.    wt: 2:   26 Chain Rule Recognising outer inner functions
  538.    wt: 2:   25 Chain Rule Animated Examples Continued
  539.    wt: 2:   24 Chain Rule Animated Examples
  540.    wt: 2:   23 Chain Rule in general
  541.    wt: 2:   19 Chain Rule for linear functions
  542.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  543.    wt: 2:   14 sine and cosine derivatives 2nd step
  544.    wt: 2:   12 Quotient rule examples
  545.    wt: 2:   11 Quotient rule
  546.    wt: 2:   9 Reciprocal rule
  547.    wt: 2:   8 Differentiation of polynomials
  548.    wt: 2:   7 Animated Differentiation Examples
  549.    wt: 2:   6 Power rule from product rule
  550.    wt: 2:   5 Product Rule
  551.    wt: 2:   11 Limits at infinity Three Examples
  552.    wt: 2:   3 Decimal insights for limits continuity convergence
  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 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 02 Deuxieme enigme
  615.    wt: 1:   chapitre 02 00 La Communication des idees
  616.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  617.    wt: 1:   4 Energy Power Heat09
  618.    wt: 1:   3 Energy Power Heat08
  619.    wt: 1:   1 Energy Power Heat06
  620.    wt: 1:   E Energy Power05
  621.    wt: 1:   D Energy Power04
  622.    wt: 1:   C Energy Power03
  623.    wt: 1:   A Energy Power01
  624.    wt: 1:   D Wire Resistance Calculation02
  625.    wt: 1:   B Wire Resistance Qualitative02
  626.    wt: 1:   3 Like resistors in parallel
  627.    wt: 1:   2 Unlike resistors in parallel01
  628.    wt: 1:   H Series Circuit02
  629.    wt: 1:   B Electromotive force conventional current01
  630.    wt: 1:   17 Math Booklets for children and young teenagers
  631.    wt: 1:   15 Counting For Parents
  632.    wt: 1:   10 Ends values for work study instruction
  633.    wt: 1:   5 Patience Please for Yourself and Your Charges
  634.    wt: 1:   4 Learning Takes Time and Effort
  635.    wt: 1:   3 Preparing for Science Studies
  636.    wt: 1:   1 Speaking Skills
  637.    wt: 1:   Ages 9 to 10
  638.    wt: 1:   Ages 8 to 9
  639.    wt: 1:   Ages 7 to 8
  640.    wt: 1:   Ages 6 to 7
  641.    wt: 1:   Ages 4 plus to 5 plus
  642.    wt: 1:   Ages 3 plus to 4 plus
  643.    wt: 1:   sign monoticity analysis example 4
  644.    wt: 1:   sign monoticity analysis example 3
  645.    wt: 1:   sign monoticity analysis example 1
  646.    wt: 1:   19 Horizontal line rule and method
  647.    wt: 1:   18 Vertical Line Rule and Method
  648.    wt: 1:   17 Function maxima minima and their location
  649.    wt: 1:   16 Increasing or decreasing on intervals
  650.    wt: 1:   15 Sign analysis of functions
  651.    wt: 1:   14 Surjections Injections Bijections
  652.    wt: 1:   13 From one to one to many to one
  653.    wt: 1:   11 Function Domain Range Source and Targets
  654.    wt: 1:   10 Interval Notation
  655.    wt: 1:   9 Set theory term relation possible origins
  656.    wt: 1:   8 Set view of relations and functions
  657.    wt: 1:   7 Functions with finite domains
  658.    wt: 1:   4 Function notation in and beyond mathematics
  659.    wt: 1:   1 Geometric Introduction of Function Notation
  660.    wt: 1:   Introduction Reading Guide
  661.    wt: 1:   A Quadratics Summary
  662.    wt: 1:   10 quadratic exercises
  663.    wt: 1:   9 quadratics physical and further context
  664.    wt: 1:   6 quadratics numerical approach
  665.    wt: 1:   5 quadratics completing the square
  666.    wt: 1:   4 quadratics difference of two squares
  667.    wt: 1:   3 quadratics factoring by inspection
  668.    wt: 1:   1 quadratics graphing exercises
  669.    wt: 1:   Quadratics in 10 steps
  670.    wt: 1:   7 Links Lessons Elsewhere
  671.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  672.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  673.    wt: 1:   4 Polynomials Long division linear divisor
  674.    wt: 1:   3 Polynomials Multiplication Addition
  675.    wt: 1:   1 Polynomials Distributive Law
  676.    wt: 1:   16 cotangent function Definition Graph and Inverse
  677.    wt: 1:   15 cosecant function Definition Graph and Inverse
  678.    wt: 1:   14 secant function Definition Graph and Inverse
  679.    wt: 1:   13 cosecant function Definition Graph and Inverse
  680.    wt: 1:   11 arctan left inverse of tangent Graph
  681.    wt: 1:   10 arctan left inverse of tangent Definition
  682.    wt: 1:   9 motivation for name arcsin
  683.    wt: 1:   4 possible motivation for term arccos
  684.    wt: 1:   2 cosine function more properties
  685.    wt: 1:   9 Summary Degrees to Radians and back
  686.    wt: 1:   2 Radian Measure Numerical Value of one degree
  687.    wt: 1:   Parallel Lines and Interior Angles
  688.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  689.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  690.    wt: 1:   Straight Lines ASA Intersection Study More
  691.    wt: 1:   14 Straight Lines Equations General Case
  692.    wt: 1:   10 Straight Lines through Origin Equations More
  693.    wt: 1:   9 Straight Lines through Origin Equations
  694.    wt: 1:   1 Straight Lines Slope Concept
  695.    wt: 1:   17 tangent function angle sum formulas
  696.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  697.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  698.    wt: 1:   32 seven rows of pascals triangle
  699.    wt: 1:   30 unit circle calculation of six trigonometric functions
  700.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  701.    wt: 1:   17C sine and cosine double triple angle formulas
  702.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  703.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  704.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  705.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  706.    wt: 1:   2 Quadrant I reference Angles
  707.    wt: 1:   11 sine and cosine double triple angle formulas
  708.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  709.    wt: 1:   8 Triangles Cascade Problem Solving
  710.    wt: 1:   7 Trignometric Ratios Unit Circle
  711.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  712.    wt: 1:   3 Trigonometric Ratios sine and cosine
  713.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  714.    wt: 1:   4 Similarity Definition with Coordinate
  715.    wt: 1:   8 Mid Point Formula
  716.    wt: 1:   5 Algebraic View of Slopes
  717.    wt: 1:   3 Slope product for perpendicular lines
  718.    wt: 1:   13 Pythagorean spatial distance formulas
  719.    wt: 1:   10 Pythagorean plane distance formula
  720.    wt: 1:   2 Measuring Area Directly
  721.    wt: 1:   5 Square Roots with primes more still
  722.    wt: 1:   4 Square Roots with primes more
  723.    wt: 1:   3 Properties of Square Roots with example
  724.    wt: 1:   1 Squares and Square Roots Introduction
  725.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  726.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  727.    wt: 1:   13 GCD from given Prime Factorization
  728.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  729.    wt: 1:   7 GCD and LCM from prime factorization
  730.    wt: 1:   6 GCD from Prime
  731.    wt: 1:   5 Common Divisors 60 45 via Prime
  732.    wt: 1:   4 LCM of 8 and 10 via Prime
  733.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  734.    wt: 1:   1 Least Common Multiples LCM Introduction
  735.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  736.    wt: 1:   4 Counting with Trees Product Rule Take I
  737.    wt: 1:   3 Counting with Tables and Trees II
  738.    wt: 1:   1 Counting and Counting Methods I
  739.    wt: 1:   11 What are real lengths and numbers
  740.    wt: 1:   10 dividing signed numbers
  741.    wt: 1:   9 subtracting signed numbers
  742.    wt: 1:   8 multiplying signed numbers
  743.    wt: 1:   7 negative and additive inverse
  744.    wt: 1:   6 adding signed numbers
  745.    wt: 1:   5 lengths and signs of numbers
  746.    wt: 1:   B Fractions and Two Term Ratios
  747.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  748.    wt: 1:   18 Efficient Ways to Multiply
  749.    wt: 1:   17 Efficient Ways to Add and Subtract
  750.    wt: 1:   16 Addition Subtraction Comparision Compared
  751.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  752.    wt: 1:   14 Adding and Subtracting with Like Denominators
  753.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  754.    wt: 1:   9 Improper Fractions and Mixed Numbers
  755.    wt: 1:   8 Numerals Fractionals Quantals Take II
  756.    wt: 1:   7 Numerals Fractionals Quantals
  757.    wt: 1:   6 Multiplication of Mixed Numbers
  758.    wt: 1:   5 Equivalent Fractions
  759.    wt: 1:   4 Fraction Multiplication
  760.    wt: 1:   3 Unit fraction of a fraction
  761.    wt: 1:   1 What is a fraction Take II
  762.    wt: 1:   1 What is a fraction
  763.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  764.    wt: 1:   D Remainders Modulo 11 Pair Rule
  765.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  766.    wt: 1:   B Integer Long Division Multiple Choices
  767.    wt: 1:   A Associative Law Theorectical Note
  768.    wt: 1:   9 Multiplying Integers
  769.    wt: 1:   8 Multiplication by Signed Numbers Integers
  770.    wt: 1:   7 Multiplication by Signs
  771.    wt: 1:   6 Multiplication by Natural Numbers
  772.    wt: 1:   5 Zero Movement and Additive Inverses
  773.    wt: 1:   4 Adding Movements wiht opposite directions
  774.    wt: 1:   3 Adding Movements with same direction
  775.    wt: 1:   1 Integers as Coordinates
  776.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  777.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  778.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  779.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  780.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  781.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  782.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  783.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  784.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  785.    wt: 1:   11 Place Value SI Standard International way
  786.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  787.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  788.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  789.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  790.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  791.    wt: 1:   Exact Arithmetic Wholes and Fractions
  792.    wt: 1:   Expression Evaluation how to show work
  793.    wt: 1:   About folder contents
  794.    wt: 1:   016 Numbering Occidental Calendar Days
  795.    wt: 1:   015 School and work day counting tables
  796.    wt: 1:   014 Counting Days with Calendars
  797.    wt: 1:   013 Travel Time Tables
  798.    wt: 1:   011 Division of Time Intervals By Numbers
  799.    wt: 1:   010 Repeated Addition of Time Intervals
  800.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  801.    wt: 1:   8 Addition of Time Intervals via subtotaling
  802.    wt: 1:   7 Addition of Time Intervals
  803.    wt: 1:   6 How long is a million seconds
  804.    wt: 1:   5 Conversion Arithmetic
  805.    wt: 1:   Example 1 volume of a pyramid
  806.    wt: 1:   Volume of Solid by Cross Sections Lesson
  807.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  808.    wt: 1:   Example 4 with x function of y
  809.    wt: 1:   Example 1
  810.    wt: 1:   Area Between Curves Lesson Take 1
  811.    wt: 1:   Summary
  812.    wt: 1:   2 Indefinite Integrals Exercises
  813.    wt: 1:   1 Chain Rule in Reverse Integration Method
  814.    wt: 1:   2 Second derivative test prequel
  815.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  816.    wt: 1:   36 Cube root derivative animated
  817.    wt: 1:   34 Derivative of exponential function
  818.    wt: 1:   33 Chain Rule Real Player video examples
  819.    wt: 1:   31 Derivatives of inverse functions
  820.    wt: 1:   18 Chain Rule Introduction
  821.    wt: 1:   17 Derivatives of quotients of sine and cosine
  822.    wt: 1:   15 sine and cosine derivatives 3rd step
  823.    wt: 1:   13 sine and cosine derivatives 1st step
  824.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  825.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  826.    wt: 1:   10 Three one sided limits with infinite values
  827.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  828.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  829.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  830.    wt: 1:   F.4 Finite Covering Theorem
  831.    wt: 1:   F.2 Closed Range Theorem
  832.    wt: 1:   D2 Limits of Monotone Sequences
  833.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  834.    wt: 1:   PostScript For and Against Decimal Perspectives
  835.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  836.    wt: 1:   Chapter 10 Slopes and Units
  837.    wt: 1:   Fall 1983 Calculus Appetizer
  838.    wt: 1:   Foreword
  839.    wt: 1:   Annotated Links to Material Elsehwere
  840.    wt: 1:   Postscript B Mathematics Education References
  841.    wt: 1:   Chapter 11 Elementary Instruction
  842.    wt: 1:   Chapter 10 Transition
  843.    wt: 1:   Chapter 9 The Two Ends
  844.    wt: 1:   Chapter 8 Modern Instruction
  845.    wt: 1:   Chapter 7 Two Treatments of Geometry
  846.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  847.    wt: 1:   Chapter 5 Four References
  848.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  849.    wt: 1:   Chapter 1 Introduction
  850.    wt: 1:   Chapter 18 Sense and Knowledge
  851.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  852.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  853.    wt: 1:   Chapter 15 Objective Processes
  854.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  855.    wt: 1:   Chapter 11 Accidental Patterns
  856.    wt: 1:   Chapter 10 Responsibility
  857.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  858.    wt: 1:   Chapter 8 Change of Language
  859.    wt: 1:   Chapter 7 Longer Chains of Reason
  860.    wt: 1:   Chapter 6 Chains of Reason
  861.    wt: 1:   Chapter 5 Deception
  862.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  863.    wt: 1:   Chapter 1 Introduction
  864.    wt: 1:   S Adding words to algebra
  865.    wt: 1:   R Why Learn Mathematics Skills
  866.    wt: 1:   N Mathematics Prepare for College Studies
  867.    wt: 1:   I. Logic and language skills
  868.    wt: 1:   B. Domino effect of errors
  869.    wt: 1:   How to Build Skills and Confidence
  870.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  871.    wt: 1:   Chapter 6 More Algebra and Geometry
  872.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  873.    wt: 1:   Chapter 3 Algebra Starter Lessons
  874.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  875.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  876.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  877.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  878.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  879.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  880.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  881.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  882.    wt: 1:   More Algebra and Slope based Calculus Preview
  883.    wt: 1:   Systematic Algebra Skill Development Missing Links
  884.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  885.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  886.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  887.    wt: 1:   The Math Forum and Site Content
  888.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  889.    wt: 10:   Chapter 8 Three Skills For Algebra

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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

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

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

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