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:   3 Quadratics Geometrically/
  16.    wt: 2:   12 Function Translating and Rescaling/
  17.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  18.    wt: 2:   B Real Numbers Extrinsic Development/
  19.    wt: 2:   A Origins of Counting and Figuring Methods/
  20.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  21.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  22.    wt: 2:   5 Real Numbers/
  23.    wt: 2:   4 Computation Rules and Function Notation/
  24.    wt: 2:   Step 4 Gaussian Elimination/
  25.    wt: 2:   Step 1 Stick diagram and fractions/
  26.    wt: 2:   3 Solving Linear Equations/
  27.    wt: 2:   1 Working With Sets/
  28.    wt: 2:   Algebra Starter Lessons/
  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:   1 Five Polynomial Operations/
  35.    wt: 1:   More Algebra/
  36.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  37.    wt: 1:   11 Squares and Square Roots/
  38.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  39.    wt: 1:   9 Combinatorics Trees Tables and Products/
  40.    wt: 1:   8 Arithmetic with Signed Numbers/
  41.    wt: 1:   7 Arithmetic and Fractions with Units/
  42.    wt: 1:   6 Fractions and Ratios/
  43.    wt: 1:   5 Integers/
  44.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  45.    wt: 1:   1 Decimal Place Value/
  46.    wt: 1:   Arithmetic and Number Theory Skills/
  47.    wt: 1:   Time Date Matters/
  48.    wt: 1:   Skills with take home value/
  49.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  50.    wt: 1:   38 Lessons on Calculating Derivatives/
  51.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  52.    wt: 1:   Volume 1A Pattern Based Reason/
  53.    wt: 1:   Volume 1 Elements of Reason/
  54.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

429 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   geometric implications for algebra
  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:   5 Function notation for geometric transformations
  7.    wt: 3:   26 Formulas for products of sines and cosines
  8.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  9.    wt: 3:   12 cis formulas for sine cosines and tangent
  10.    wt: 3:   4 Equations for lines three forms
  11.    wt: 3:   12 GCD 2700 288 via Prime
  12.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  13.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  14.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  15.    wt: 3:   22 Chain Rule for polynomials
  16.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  17.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  18.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  19.    wt: 2:   Skills Chapter 3 Algebra
  20.    wt: 2:   Skills Chapter 2 Geometry
  21.    wt: 2:   three goals to set for students
  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:   2 Algebraic use of function notation
  39.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  40.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  41.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  42.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  43.    wt: 2:   12 motivation for term arctan
  44.    wt: 2:   29 secant cosecant and cotangent for acute angles
  45.    wt: 2:   25 tangent double angle formula Slope connection
  46.    wt: 2:   24 tangent Angle Difference Formula
  47.    wt: 2:   21 sine and cosine Half Angle Formulas
  48.    wt: 2:   20 sine and cosine Double Angle Formulas
  49.    wt: 2:   17E Trig Formulas for dot and cross Products
  50.    wt: 2:   17D cis formulas for sine cosines and tangent
  51.    wt: 2:   12 Graph of tangent function for one period
  52.    wt: 2:   13 Trig Formulas for dot and cross Products
  53.    wt: 2:   2 point slope equation for a line
  54.    wt: 2:   22 Multiplication of Signed Numbers
  55.    wt: 2:   2 Combing Counts Addition Skills and Principles
  56.    wt: 2:   2 Algebraic View
  57.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  58.    wt: 2:   2 More and Less Than for Counts and Measures
  59.    wt: 2:   3 Geometric Formulas and Function Notation
  60.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  61.    wt: 2:   2 Essentially one exercises three with solution
  62.    wt: 2:   2 Three Examples
  63.    wt: 2:   2 Three Examples
  64.    wt: 2:   Formula Usage Show Work Format
  65.    wt: 2:   2 Another Rectangle Area Formula Example
  66.    wt: 2:   1 Written work formats for developing and showing skill
  67.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  68.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  69.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  70.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  71.    wt: 2:   22 Complex Compound Fractions
  72.    wt: 2:   21 Reciprocals for Fractions and Wholes
  73.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  74.    wt: 2:   26 Divisibility by 2 3 5 Example
  75.    wt: 2:   23 Remainder Arithmetic Modulo 2
  76.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  77.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  78.    wt: 2:   Long Division forwards and backwards Example 2
  79.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  80.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  81.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  82.    wt: 2:   9 22 Minute Subtraction Review Video
  83.    wt: 2:   38 Formulas and derivatives for powers and roots
  84.    wt: 2:   28 Chain Rule Preparation for a Proof
  85.    wt: 2:   21 Chain Rule for powers
  86.    wt: 2:   20 Chain Rule for Pulley Systems
  87.    wt: 2:   3 Motivation for Limit Definition Take 2
  88.    wt: 2:   2 Motivation for Limit Definition Take 1
  89.    wt: 2:   2 Algebraic codification
  90.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  91.    wt: 2:   E2 Algebraic Properties of Limits
  92.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  93.    wt: 2:   Chapter 22 Complex Numbers
  94.    wt: 2:   Postscript For Better Performance
  95.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  96.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  97.    wt: 2:   Chapter 23. Notation For Sums
  98.    wt: 2:   Chapter 18. Rules for Algebra
  99.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  100.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  101.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  102.    wt: 2:   Chapter 2 For and Against Mathematics
  103.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  104.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  105.    wt: 2:   G. Written work formats for developing and showing skill
  106.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  107.    wt: 1:   Appendix 2 primary school Arithmetic 01
  108.    wt: 1:   G LAMP Introduction Problem Solving Skills
  109.    wt: 1:   Skills Chapter 5 Calculus
  110.    wt: 1:   Skills Chapter 4 Logic
  111.    wt: 1:   Ramblings Introduction Algebra Essay
  112.    wt: 1:   Skills Chapter 1 Arithmetic
  113.    wt: 1:   Skills Chapter 0 Introduction
  114.    wt: 1:   4 algebra
  115.    wt: 1:   2 arithmetic with signed numbers
  116.    wt: 1:   permissions for teachers
  117.    wt: 1:   Applied Maths Program14092009 POMME variant
  118.    wt: 1:   activities for students
  119.    wt: 1:   Postscript 2007 01 10
  120.    wt: 1:   Education Reform Inconsistencies
  121.    wt: 1:   Secondary Three Mathematics
  122.    wt: 1:   talk the algebra talk
  123.    wt: 1:   three difficulties
  124.    wt: 1:   teaching tutoring algebraic reason
  125.    wt: 1:   Lessening Algebra Difficulties
  126.    wt: 1:   the trouble with algebra
  127.    wt: 1:   04 29 New Mathematics Curriculum
  128.    wt: 1:   04 25 when to stop or suspend mathemat
  129.    wt: 1:   standards for course material
  130.    wt: 1:   three kinds of reason in mathematics
  131.    wt: 1:   Four ways to improve education reform
  132.    wt: 1:   need for a mixed mathematics curriculum
  133.    wt: 1:   fairness and inductive principles for instruction
  134.    wt: 1:   words for mathematics instructor
  135.    wt: 1:   chapitre 12 00 les iles et division
  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:   1 Geometric Introduction of Function Notation
  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:   6 Geometric Diagrams in Class
  222.    wt: 1:   2 Similarity By Design
  223.    wt: 1:   12 Links Lessons elsewhere
  224.    wt: 1:   8 Mid Point Formula
  225.    wt: 1:   5 Algebraic View of Slopes
  226.    wt: 1:   3 Slope product for perpendicular lines
  227.    wt: 1:   13 Pythagorean spatial distance formulas
  228.    wt: 1:   12 Spatial Coordinates
  229.    wt: 1:   10 Pythagorean plane distance formula
  230.    wt: 1:   2 Cartesian Coordinates with signs
  231.    wt: 1:   PS H Distributive Law For Complex Numbers
  232.    wt: 1:   21 Parallelograms
  233.    wt: 1:   12 Side Angle Side Failure
  234.    wt: 1:   2 Correspondence between Triangles
  235.    wt: 1:   2 Measuring Area Directly
  236.    wt: 1:   26 More Less Greater Than Comparison
  237.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  238.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  239.    wt: 1:   23 Distributive Law Two Derivations
  240.    wt: 1:   21 Addition of Multiples of a Single Vector
  241.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  242.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  243.    wt: 1:   12 Real Numbers Line Signed Coordinates
  244.    wt: 1:   2 Counting Digits in Decimal Multiplication
  245.    wt: 1:   C Three Decimal Subtraction Methods
  246.    wt: 1:   6 Column Methods for Decimal Multiplication
  247.    wt: 1:   5 Distributive Law for Whole Numbers
  248.    wt: 1:   4 Commutative Law Groups Counting Form
  249.    wt: 1:   3 Multiplicative Counting Skills Principles
  250.    wt: 1:   3 Inequalities Algebraically
  251.    wt: 1:   2 Fraction Operations Physical Development
  252.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  253.    wt: 1:   6 Compound Interest Forward and Backwards
  254.    wt: 1:   5 Triangle Area Formula Backwards
  255.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  256.    wt: 1:   2 Linear Equation Literal Solution
  257.    wt: 1:   5 Equality in Algebra
  258.    wt: 1:   3 Product Axioms Two Forms
  259.    wt: 1:   2 Addition and Multiplication Axioms
  260.    wt: 1:   12 Real Number Additive Inverses or Negatives
  261.    wt: 1:   9 Coordinates for Regions in Space
  262.    wt: 1:   8 Coordinates for Maps and Planes
  263.    wt: 1:   2 Integers
  264.    wt: 1:   2 Computation Rules Evaluation
  265.    wt: 1:   1 Formulas Dependence and Function Notation
  266.    wt: 1:   2 GE II Comparison
  267.    wt: 1:   6 Algebraic Solution Example
  268.    wt: 1:   5 Algebraic Solutions Introduction
  269.    wt: 1:   9 Three Examples
  270.    wt: 1:   6 Three Examples
  271.    wt: 1:   5 Three Examples
  272.    wt: 1:   Using Letters for Physical Quantities
  273.    wt: 1:   13 Naming Identifying Formulas with Words
  274.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  275.    wt: 1:   8 Compound Interest Formula Evaluation
  276.    wt: 1:   7 Compound Interest Formula Introduction
  277.    wt: 1:   5 Box Volume Formula Example
  278.    wt: 1:   4 Circle Area Formula Example
  279.    wt: 1:   3 Triangle Area Formula Example
  280.    wt: 1:   2 Venn Diagrams
  281.    wt: 1:   6 Three Notions of What is a Variable
  282.    wt: 1:   4 A Brief Story of numbers and algebra
  283.    wt: 1:   2 What is a Variable
  284.    wt: 1:   arithmetic videos Real Player Format
  285.    wt: 1:   2 More and Less Than with Unlike Signs
  286.    wt: 1:   1 More and Less Than for Counts and Measures
  287.    wt: 1:   2 Square Roots with Prime
  288.    wt: 1:   2 Least Common Multiple LCM intro via list method
  289.    wt: 1:   2 Counting with Tables and Trees I
  290.    wt: 1:   4 signed coordinates for regions in space
  291.    wt: 1:   3 signed coordinates for maps and planes
  292.    wt: 1:   2 signed and unsigned numbers as coordinates
  293.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  294.    wt: 1:   2 Equality and Units
  295.    wt: 1:   D Three Term Ratios
  296.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  297.    wt: 1:   21 Working With Signs
  298.    wt: 1:   20 Dividing Fractions the Why
  299.    wt: 1:   13 Fraction Comparison Algebraic View
  300.    wt: 1:   12 Fraction Comparison
  301.    wt: 1:   11 Simplification an Algebraic View
  302.    wt: 1:   6 Multiplication Algebraically Take II
  303.    wt: 1:   2 Unit Fraction Multiplication
  304.    wt: 1:   12 Adding Integers More Examples
  305.    wt: 1:   11 Adding Integers Formulas and Examples
  306.    wt: 1:   10 Integer Multiplication Formulas
  307.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  308.    wt: 1:   21 Remainder Arithmetic Modulo 3
  309.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  310.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  311.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  312.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  313.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  314.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  315.    wt: 1:   20 Uniqueness of Prime Factorization
  316.    wt: 1:   15 video Factors of 20 using Prime Factorization
  317.    wt: 1:   14 video Factors of 24 Take II
  318.    wt: 1:   13 video Factors of 24 using prime
  319.    wt: 1:   12 LCD GCD and LCM using Primes
  320.    wt: 1:   10 video Prime Factorization upto 23 squared
  321.    wt: 1:   2 Prime and Composites less than 16
  322.    wt: 1:   Long Division forwards and backwards Example 3
  323.    wt: 1:   Long Division forwards and backwards Example 1
  324.    wt: 1:   12 Why Long Division Works Take III
  325.    wt: 1:   4 Division with 2 Digit Divsors
  326.    wt: 1:   2 Division with Single Digit Divisors
  327.    wt: 1:   A Elementary Basis for Multiplication Methods
  328.    wt: 1:   4 Two and Three Digit Multipliers
  329.    wt: 1:   2 One Digit Multipliers
  330.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  331.    wt: 1:   5 A Tip for Efficent Subtraction
  332.    wt: 1:   2 Subtraction Easy Case Examples
  333.    wt: 1:   8 What skills and work habits to require
  334.    wt: 1:   2 Decimal Counting Practices
  335.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  336.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  337.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  338.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  339.    wt: 1:   Quick history of numbers and algebra
  340.    wt: 1:   Formula Evaluation how to show work
  341.    wt: 1:   The 20 Times Table
  342.    wt: 1:   The 12 Times Table Visually
  343.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  344.    wt: 1:   012 Division of Time Intervals by Time Intervals
  345.    wt: 1:   2 Time and Date Matters in School
  346.    wt: 1:   1 Intro of Kids To Time Date Skills
  347.    wt: 1:   Example 2 volume of a cone
  348.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  349.    wt: 1:   Example 2
  350.    wt: 1:   Area Between Curves Lesson Take 2
  351.    wt: 1:   2 Indefinite Integrals Exercises
  352.    wt: 1:   2 Second derivative test prequel
  353.    wt: 1:   29 Chain Rule Optional Reading
  354.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  355.    wt: 1:   26 Chain Rule Recognising outer inner functions
  356.    wt: 1:   25 Chain Rule Animated Examples Continued
  357.    wt: 1:   24 Chain Rule Animated Examples
  358.    wt: 1:   23 Chain Rule in general
  359.    wt: 1:   19 Chain Rule for linear functions
  360.    wt: 1:   14 sine and cosine derivatives 2nd step
  361.    wt: 1:   12 Quotient rule examples
  362.    wt: 1:   10 Power rule for negative integers
  363.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  364.    wt: 1:   11 Limits at infinity Three Examples
  365.    wt: 1:   10 Three one sided limits with infinite values
  366.    wt: 1:   3 Decimal insights for limits continuity convergence
  367.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  368.    wt: 1:   F.2 Closed Range Theorem
  369.    wt: 1:   D2 Limits of Monotone Sequences
  370.    wt: 1:   PostScript For and Against Decimal Perspectives
  371.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  372.    wt: 1:   Chapter 23 Links To Trigonometry
  373.    wt: 1:   Chapter 21 Arrow Addition
  374.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  375.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  376.    wt: 1:   Chapter 12. Units and Slopes
  377.    wt: 1:   Chapter 2. Slopes and Ski Trails
  378.    wt: 1:   Foreword
  379.    wt: 1:   Postscript More on Better Performance
  380.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  381.    wt: 1:   Chapter 28 Occurrence Tables
  382.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  383.    wt: 1:   Chapter 25. Mathematical Induction Examples
  384.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  385.    wt: 1:   Chapter 21. Third Reading Guide
  386.    wt: 1:   Chapter 20. Degrees and Radians
  387.    wt: 1:   Chapter 12. Shorthand Usage Guide
  388.    wt: 1:   Solutions For Arithmetic Exercises
  389.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  390.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  391.    wt: 1:   Foreword
  392.    wt: 1:   Postscript A Three Remarks
  393.    wt: 1:   Chapter 12 Four Phases
  394.    wt: 1:   Chapter 3 Algebra Difficulties
  395.    wt: 1:   Foreword
  396.    wt: 1:   Postscript C Consistency as a Tool for Reason
  397.    wt: 1:   Chapter 24 Direct and Indirect Reason
  398.    wt: 1:   Chapter 23 Truth Tables
  399.    wt: 1:   Chapter 21 Occurrence Tables
  400.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  401.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  402.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  403.    wt: 1:   Chapter 2 Skill Development
  404.    wt: 1:   Three Remarks
  405.    wt: 1:   Foreword
  406.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  407.    wt: 1:   S Adding words to algebra
  408.    wt: 1:   R Why Learn Mathematics Skills
  409.    wt: 1:   N Mathematics Prepare for College Studies
  410.    wt: 1:   L Skills with take home value
  411.    wt: 1:   I. Logic and language skills
  412.    wt: 1:   How to Build Skills and Confidence
  413.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  414.    wt: 1:   Chapter 6 More Algebra and Geometry
  415.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  416.    wt: 1:   Chapter 3 Algebra Starter Lessons
  417.    wt: 1:   Chapter 2 Why Sets
  418.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  419.    wt: 1:   7 Games and Activities for Instruction
  420.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  421.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  422.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  423.    wt: 1:   More Algebra and Slope based Calculus Preview
  424.    wt: 1:   Systematic Algebra Skill Development Missing Links
  425.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  426.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  427.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  428.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  429.    wt: 1:   The Math Forum and Site Content

Extended Search

889 matches:

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