Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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

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644 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   02 21 words for teachers
  3.    wt: 4:   8 Notes for instructors or tutors
  4.    wt: 4:   1 Three Skills For Algebra
  5.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  6.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  7.    wt: 4:   Chapter 8 Three Skills For Algebra
  8.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  9.    wt: 3:   formal or informal peer review
  10.    wt: 3:   words for mathematics instructor
  11.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  12.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  13.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  14.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  15.    wt: 3:   26 Formulas for products of sines and cosines
  16.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  17.    wt: 3:   17G Pythagorean Theorem Converse
  18.    wt: 3:   17E Trig Formulas for dot and cross Products
  19.    wt: 3:   17D cis formulas for sine cosines and tangent
  20.    wt: 3:   12 cis formulas for sine cosines and tangent
  21.    wt: 3:   4 Equations for lines three forms
  22.    wt: 3:   2 More and Less Than for Counts and Measures
  23.    wt: 3:   8 Coordinates for Maps and Planes
  24.    wt: 3:   5 Independent versus Dependent Variables
  25.    wt: 3:   Formula Usage Show Work Format
  26.    wt: 3:   1 Written work formats for developing and showing skill
  27.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  28.    wt: 3:   12 GCD 2700 288 via Prime
  29.    wt: 3:   3 signed coordinates for maps and planes
  30.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  31.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  32.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  33.    wt: 3:   15 video Factors of 20 using Prime Factorization
  34.    wt: 3:   22 Chain Rule for polynomials
  35.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  36.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  37.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  38.    wt: 3:   G. Written work formats for developing and showing skill
  39.    wt: 2:   Skills Chapter 3 Algebra
  40.    wt: 2:   Skills Chapter 2 Geometry
  41.    wt: 2:   three goals to set for students
  42.    wt: 2:   geometric implications for algebra
  43.    wt: 2:   teaching tutoring algebraic reason
  44.    wt: 2:   three goals for Mathematics Education
  45.    wt: 2:   04 25 when to stop or suspend mathemat
  46.    wt: 2:   02 20 mathematics education references
  47.    wt: 2:   three aims for mathematics students
  48.    wt: 2:   Prequel In For A Penny In For A Pound
  49.    wt: 2:   2 Conductance Resistance Duality02
  50.    wt: 2:   2 Unlike resistors in parallel01
  51.    wt: 2:   C Electromotive force conventional current02
  52.    wt: 2:   24 Standards For Skill Develoment Take II
  53.    wt: 2:   24 Standards For Skill Develoment
  54.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  55.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  56.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  57.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  58.    wt: 2:   22 Student Centered Highschool Mathematics
  59.    wt: 2:   17 Math Booklets for children and young teenagers
  60.    wt: 2:   12 Goals and Objectives For Mathematics
  61.    wt: 2:   11 Help and Defend Your Child or Teens Education
  62.    wt: 2:   10 Ends values for work study instruction
  63.    wt: 2:   2 Reading and Writing Skills
  64.    wt: 2:   Ages 12 to 14 Skills with take home value
  65.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  66.    wt: 2:   22 Square Root function graphically
  67.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  68.    wt: 2:   20 Interchanging coordinates a reflection
  69.    wt: 2:   9 Set theory term relation possible origins
  70.    wt: 2:   5 Function notation for geometric transformations
  71.    wt: 2:   3 Formula or function graphing exercise
  72.    wt: 2:   2 Algebraic use of function notation
  73.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  74.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  75.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  76.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  77.    wt: 2:   12 motivation for term arctan
  78.    wt: 2:   2 cosine function more properties
  79.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  80.    wt: 2:   6 Vectors with Coordinates
  81.    wt: 2:   3 Navigation with Arrows or Vectors
  82.    wt: 2:   2 Signed Coordinates
  83.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  84.    wt: 2:   10 Straight Lines through Origin Equations More
  85.    wt: 2:   17 tangent function angle sum formulas
  86.    wt: 2:   29 secant cosecant and cotangent for acute angles
  87.    wt: 2:   25 tangent double angle formula Slope connection
  88.    wt: 2:   24 tangent Angle Difference Formula
  89.    wt: 2:   21 sine and cosine Half Angle Formulas
  90.    wt: 2:   20 sine and cosine Double Angle Formulas
  91.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  92.    wt: 2:   17C sine and cosine double triple angle formulas
  93.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  94.    wt: 2:   12 Graph of tangent function for one period
  95.    wt: 2:   15 Pythagorean Theorem Converse
  96.    wt: 2:   13 Trig Formulas for dot and cross Products
  97.    wt: 2:   11 sine and cosine double triple angle formulas
  98.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  99.    wt: 2:   12 Triangles Similarity More Problems
  100.    wt: 2:   2 point slope equation for a line
  101.    wt: 2:   13 Pythagorean spatial distance formulas
  102.    wt: 2:   12 Spatial Coordinates
  103.    wt: 2:   10 Pythagorean plane distance formula
  104.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  105.    wt: 2:   2 Cartesian Coordinates with signs
  106.    wt: 2:   PS H Distributive Law For Complex Numbers
  107.    wt: 2:   PS E Multiplication with Polar Coordinates
  108.    wt: 2:   PS D Addition with Cartesian Coordinates
  109.    wt: 2:   17 Right Bisectors of Triangle Sides
  110.    wt: 2:   2 Correspondence between Triangles
  111.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  112.    wt: 2:   26 More Less Greater Than Comparison
  113.    wt: 2:   22 Multiplication of Signed Numbers
  114.    wt: 2:   21 Addition of Multiples of a Single Vector
  115.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  116.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  117.    wt: 2:   12 Real Numbers Line Signed Coordinates
  118.    wt: 2:   4 Commutative Law Groups Counting Form
  119.    wt: 2:   2 Combing Counts Addition Skills and Principles
  120.    wt: 2:   2 Algebraic View
  121.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  122.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  123.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  124.    wt: 2:   12 Real Number Additive Inverses or Negatives
  125.    wt: 2:   9 Coordinates for Regions in Space
  126.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  127.    wt: 2:   2 Essentially one exercises three with solution
  128.    wt: 2:   2 Three Examples
  129.    wt: 2:   2 Three Examples
  130.    wt: 2:   13 Naming Identifying Formulas with Words
  131.    wt: 2:   2 Another Rectangle Area Formula Example
  132.    wt: 2:   6 Three Notions of What is a Variable
  133.    wt: 2:   4 A Brief Story of numbers and algebra
  134.    wt: 2:   2 What is a Variable
  135.    wt: 2:   2 More and Less Than with Unlike Signs
  136.    wt: 2:   1 More and Less Than for Counts and Measures
  137.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  138.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  139.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  140.    wt: 2:   4 signed coordinates for regions in space
  141.    wt: 2:   2 signed and unsigned numbers as coordinates
  142.    wt: 2:   22 Complex Compound Fractions
  143.    wt: 2:   21 Working With Signs
  144.    wt: 2:   21 Reciprocals for Fractions and Wholes
  145.    wt: 2:   11 Simplification an Algebraic View
  146.    wt: 2:   12 Adding Integers More Examples
  147.    wt: 2:   11 Adding Integers Formulas and Examples
  148.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  149.    wt: 2:   26 Divisibility by 2 3 5 Example
  150.    wt: 2:   23 Remainder Arithmetic Modulo 2
  151.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  152.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  153.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  154.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  155.    wt: 2:   20 Uniqueness of Prime Factorization
  156.    wt: 2:   18 video Count Factors given Prime Factorization
  157.    wt: 2:   17 Identify and Count Factors using Primes
  158.    wt: 2:   14 video Factors of 24 Take II
  159.    wt: 2:   13 video Factors of 24 using prime
  160.    wt: 2:   10 video Prime Factorization upto 23 squared
  161.    wt: 2:   Long Division forwards and backwards Example 2
  162.    wt: 2:   12 Why Long Division Works Take III
  163.    wt: 2:   11 Another Single Digit Divisor Example
  164.    wt: 2:   4 Division with 2 Digit Divsors
  165.    wt: 2:   2 Division with Single Digit Divisors
  166.    wt: 2:   6 Multiplication Commutes Order Not Important
  167.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  168.    wt: 2:   9 22 Minute Subtraction Review Video
  169.    wt: 2:   8 What skills and work habits to require
  170.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  171.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  172.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  173.    wt: 2:   Quick history of numbers and algebra
  174.    wt: 2:   Formula Evaluation how to show work
  175.    wt: 2:   38 Formulas and derivatives for powers and roots
  176.    wt: 2:   28 Chain Rule Preparation for a Proof
  177.    wt: 2:   21 Chain Rule for powers
  178.    wt: 2:   20 Chain Rule for Pulley Systems
  179.    wt: 2:   3 Motivation for Limit Definition Take 2
  180.    wt: 2:   2 Motivation for Limit Definition Take 1
  181.    wt: 2:   11 Limits at infinity Three Examples
  182.    wt: 2:   5 Jumps and absence of unlimited error control
  183.    wt: 2:   2 Algebraic codification
  184.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  185.    wt: 2:   F.2 Closed Range Theorem
  186.    wt: 2:   E2 Algebraic Properties of Limits
  187.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  188.    wt: 2:   Chapter 22 Complex Numbers
  189.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  190.    wt: 2:   Foreword
  191.    wt: 2:   Postscript More on Better Performance
  192.    wt: 2:   Postscript For Better Performance
  193.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  194.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  195.    wt: 2:   Chapter 23. Notation For Sums
  196.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  197.    wt: 2:   Chapter 18. Rules for Algebra
  198.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  199.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  200.    wt: 2:   Chapter 12. Shorthand Usage Guide
  201.    wt: 2:   Chapter 11. Why Shorthand
  202.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  203.    wt: 2:   Foreword
  204.    wt: 2:   Chapter 2 For and Against Mathematics
  205.    wt: 2:   Foreword
  206.    wt: 2:   Postscript B More on Story Telling and Reason
  207.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  208.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  209.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  210.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  211.    wt: 2:   Foreword
  212.    wt: 2:   S Adding words to algebra
  213.    wt: 2:   J. More on written work and showing skill
  214.    wt: 2:   E. When and how to correct errors
  215.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  216.    wt: 2:   Chapter 6 More Algebra and Geometry
  217.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  218.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  219.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  220.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  221.    wt: 2:   More Algebra and Slope based Calculus Preview
  222.    wt: 1:   Appendix 2 primary school Arithmetic 01
  223.    wt: 1:   J LAMP Introduction Extrinsic Origins
  224.    wt: 1:   G LAMP Introduction Problem Solving Skills
  225.    wt: 1:   Skills Chapter 5 Calculus
  226.    wt: 1:   Skills Chapter 4 Logic
  227.    wt: 1:   Ramblings Extrinsic numbers theory
  228.    wt: 1:   Ramblings Introduction Algebra Essay
  229.    wt: 1:   Skills Chapter 1 Arithmetic
  230.    wt: 1:   Skills Chapter 0 Introduction
  231.    wt: 1:   11 pure mathematics
  232.    wt: 1:   9 combinatorics probability sets
  233.    wt: 1:   4 algebra
  234.    wt: 1:   2 arithmetic with signed numbers
  235.    wt: 1:   permissions for teachers
  236.    wt: 1:   Math Ed if it must be short make it lean effective
  237.    wt: 1:   Applied Maths Program14092009 POMME variant
  238.    wt: 1:   activities for students
  239.    wt: 1:   site origins
  240.    wt: 1:   Mathematics Education Professors
  241.    wt: 1:   grouping students according to ability
  242.    wt: 1:   Postscript 2007 01 10
  243.    wt: 1:   Education Reform Inconsistencies
  244.    wt: 1:   Maps Plans Drawings
  245.    wt: 1:   Secondary Three Mathematics
  246.    wt: 1:   talk the algebra talk
  247.    wt: 1:   three difficulties
  248.    wt: 1:   teaching tips
  249.    wt: 1:   Lessening Algebra Difficulties
  250.    wt: 1:   the trouble with algebra
  251.    wt: 1:   04 29 New Mathematics Curriculum
  252.    wt: 1:   standards for course material
  253.    wt: 1:   Theory of Knowledge
  254.    wt: 1:   three kinds of reason in mathematics
  255.    wt: 1:   Four ways to improve education reform
  256.    wt: 1:   How to be a better instructor
  257.    wt: 1:   need for a mixed mathematics curriculum
  258.    wt: 1:   fairness and inductive principles for instruction
  259.    wt: 1:   chapitre 12 00 les iles et division
  260.    wt: 1:   chapitre 04 02 Deuxieme enigme
  261.    wt: 1:   chapitre 02 00 La Communication des idees
  262.    wt: 1:   deux definitions pour variable
  263.    wt: 1:   2 Energy Power Heat07
  264.    wt: 1:   B Energy Power02
  265.    wt: 1:   D Wire Resistance Calculation02
  266.    wt: 1:   B Wire Resistance Qualitative02
  267.    wt: 1:   3 Like resistors in parallel
  268.    wt: 1:   1 Like resistors in series
  269.    wt: 1:   H Series Circuit02
  270.    wt: 1:   F Unlike Resistors in Series
  271.    wt: 1:   B Electromotive force conventional current01
  272.    wt: 1:   Home Tutoring and Home Schooling
  273.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  274.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  275.    wt: 1:   16 Secondary Mathematics Tips
  276.    wt: 1:   15 Counting For Parents
  277.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  278.    wt: 1:   5 Patience Please for Yourself and Your Charges
  279.    wt: 1:   4 Learning Takes Time and Effort
  280.    wt: 1:   3 Preparing for Science Studies
  281.    wt: 1:   1 Speaking Skills
  282.    wt: 1:   Ages 12 to 14 Geometry
  283.    wt: 1:   Ages 12 to 14 Arithmetic
  284.    wt: 1:   Ages 10 to 12 Geometry
  285.    wt: 1:   Ages 10 to 12 Arithmetic
  286.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  287.    wt: 1:   sign monoticity analysis example 2
  288.    wt: 1:   26 Function definitions done and coming
  289.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  290.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  291.    wt: 1:   23 Inverse Functions
  292.    wt: 1:   19 Horizontal line rule and method
  293.    wt: 1:   17 Function maxima minima and their location
  294.    wt: 1:   16 Increasing or decreasing on intervals
  295.    wt: 1:   12 Function Domain Recognition Exercises
  296.    wt: 1:   11 Function Domain Range Source and Targets
  297.    wt: 1:   6 Set Existence Formation and Notation
  298.    wt: 1:   8 quadratics backward use of various formulas
  299.    wt: 1:   7 quadratic formulla derivation
  300.    wt: 1:   3 quadratics factoring by inspection
  301.    wt: 1:   2 quadratics graphing in general
  302.    wt: 1:   Quadratics in 10 steps
  303.    wt: 1:   11 Growth and Decay in Biology
  304.    wt: 1:   5 Natural Logarithm Calculator Exercises
  305.    wt: 1:   2 Square Root Simplification a prequel
  306.    wt: 1:   1 Calculator Starter Exercises
  307.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  308.    wt: 1:   4 Polynomials Long division linear divisor
  309.    wt: 1:   2 Column Multiplication Method
  310.    wt: 1:   Rewriting algebraic substitution as function substitutions
  311.    wt: 1:   11 arctan left inverse of tangent Graph
  312.    wt: 1:   9 motivation for name arcsin
  313.    wt: 1:   5 Swapping Coordinates is a reflection
  314.    wt: 1:   4 possible motivation for term arccos
  315.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  316.    wt: 1:   2 Radian Measure Numerical Value of one degree
  317.    wt: 1:   13 Velocity Vectors in Physics
  318.    wt: 1:   12 From Applied To Pure Mathematics
  319.    wt: 1:   11 Component Method
  320.    wt: 1:   9 Head to Tail Coordinate View
  321.    wt: 1:   8 Parallel Vectors
  322.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  323.    wt: 1:   1 Unsigned Coordinates
  324.    wt: 1:   Vector and Complex Number Applet
  325.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  326.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  327.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  328.    wt: 1:   Parallel Lines and Interior Angles
  329.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  330.    wt: 1:   Straight Lines ASA Intersection Study More
  331.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  332.    wt: 1:   C Straight Lines Slope from Coordinates
  333.    wt: 1:   B Straight Line Slope Scaling Properties More
  334.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  335.    wt: 1:   12 Straight Lines Graphing mx plus b
  336.    wt: 1:   11 Straight Lines Graphing y=mx
  337.    wt: 1:   9 Straight Lines through Origin Equations
  338.    wt: 1:   8 Straight Lines Equation for vertical
  339.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  340.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  341.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  342.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  343.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  344.    wt: 1:   32 seven rows of pascals triangle
  345.    wt: 1:   28 Expressing products of sines cosines as sums
  346.    wt: 1:   27 Logarithmic use of products of sines and cosines
  347.    wt: 1:   17F Law of cosines
  348.    wt: 1:   17A The complex number valued trig function cis
  349.    wt: 1:   11 tangent function undefined when terminal side vertical
  350.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  351.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  352.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  353.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  354.    wt: 1:   2 Quadrant I reference Angles
  355.    wt: 1:   21 Logarithms Powers and Exponentials
  356.    wt: 1:   20 N th Roots of Complex Numbers
  357.    wt: 1:   17 Cube Roots of unity
  358.    wt: 1:   16 References and Originality Question
  359.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  360.    wt: 1:   2 Complex Numbers made easier we hope
  361.    wt: 1:   1 Rectangular Polar Coordinates Review
  362.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  363.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  364.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  365.    wt: 1:   11 Triangle Similarity Missing Side Problem
  366.    wt: 1:   4 Similarity Definition with Coordinate
  367.    wt: 1:   3 Similarity by Design with coordinates
  368.    wt: 1:   2 Similarity By Design
  369.    wt: 1:   1 Early Concept of Like or Similar Shapes
  370.    wt: 1:   12 Links Lessons elsewhere
  371.    wt: 1:   11 A Partial Summary
  372.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  373.    wt: 1:   8 Mid Point Formula
  374.    wt: 1:   5 Algebraic View of Slopes
  375.    wt: 1:   3 Slope product for perpendicular lines
  376.    wt: 1:   11 Triangle Inequality
  377.    wt: 1:   4 Polar Coordinates to and from
  378.    wt: 1:   3 Rectangular Coordinates Review
  379.    wt: 1:   1 Cartesian Coordinates sans signs
  380.    wt: 1:   PS G Rotation Distributes over Addition
  381.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  382.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  383.    wt: 1:   PS B Parallelogram Construction Methods
  384.    wt: 1:   PS A Kite Construction Methods
  385.    wt: 1:   21 Parallelograms
  386.    wt: 1:   16 Angles Subtended By Chords and Diameters
  387.    wt: 1:   12 Side Angle Side Failure
  388.    wt: 1:   11 Triangle Construction Fails
  389.    wt: 1:   9 Construction of a right bisector
  390.    wt: 1:   Short Course on Euclidean Geometry
  391.    wt: 1:   6 Figuring with Maps Not to Scale
  392.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  393.    wt: 1:   4 Angles on Maps Plans drawn to scale
  394.    wt: 1:   3 Lengths and Areas on Maps and Plans
  395.    wt: 1:   2 Measuring Area Directly
  396.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  397.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  398.    wt: 1:   23 Distributive Law Two Derivations
  399.    wt: 1:   19 Signed Multiples of Vectors
  400.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  401.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  402.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  403.    wt: 1:   13 Arrows and Vectors in a Plane
  404.    wt: 1:   11 Signed Number Addition and Addition Properties
  405.    wt: 1:   2 Counting Digits in Decimal Multiplication
  406.    wt: 1:   E Long Division Methods more
  407.    wt: 1:   C Three Decimal Subtraction Methods
  408.    wt: 1:   6 Column Methods for Decimal Multiplication
  409.    wt: 1:   5 Distributive Law for Whole Numbers
  410.    wt: 1:   3 Multiplicative Counting Skills Principles
  411.    wt: 1:   1 The Counting Origins of Numbers
  412.    wt: 1:   3 Inequalities Algebraically
  413.    wt: 1:   2 Fraction Operations Physical Development
  414.    wt: 1:   5 Proportionality in Equivalent Fractions
  415.    wt: 1:   4 Rates Ratios and Proporitionality
  416.    wt: 1:   3 Proportionality Examples
  417.    wt: 1:   1 What is Proportionality
  418.    wt: 1:   6 Compound Interest Forward and Backwards
  419.    wt: 1:   5 Triangle Area Formula Backwards
  420.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  421.    wt: 1:   3 Linear Equation Literal Solution More
  422.    wt: 1:   2 Linear Equation Literal Solution
  423.    wt: 1:   6 Equations and Systems Equivalent or Implied
  424.    wt: 1:   5 Equality in Algebra
  425.    wt: 1:   3 Product Axioms Two Forms
  426.    wt: 1:   2 Addition and Multiplication Axioms
  427.    wt: 1:   5 Greater More Less Than Signs in General
  428.    wt: 1:   3 More and Less Than with Unlike Signs
  429.    wt: 1:   11 Real Number Addition
  430.    wt: 1:   7 Real Numbers as Line Cordinates
  431.    wt: 1:   5 Rational Numbers More
  432.    wt: 1:   2 Integers
  433.    wt: 1:   3 Geometric Formulas and Function Notation
  434.    wt: 1:   2 Computation Rules Evaluation
  435.    wt: 1:   1 Formulas Dependence and Function Notation
  436.    wt: 1:   More Exercises
  437.    wt: 1:   2 GE II Comparison
  438.    wt: 1:   6 Algebraic Solution Example
  439.    wt: 1:   5 Algebraic Solutions Introduction
  440.    wt: 1:   9 Three Examples
  441.    wt: 1:   6 Three Examples
  442.    wt: 1:   5 Three Examples
  443.    wt: 1:   Using Letters for Physical Quantities
  444.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  445.    wt: 1:   11 Volume of Sphere
  446.    wt: 1:   8 Compound Interest Formula Evaluation
  447.    wt: 1:   7 Compound Interest Formula Introduction
  448.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  449.    wt: 1:   5 Box Volume Formula Example
  450.    wt: 1:   4 Circle Area Formula Example
  451.    wt: 1:   3 Triangle Area Formula Example
  452.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  453.    wt: 1:   7 Cautious or Safe Set Construction
  454.    wt: 1:   2 Venn Diagrams
  455.    wt: 1:   3 Adding Words To Arithmetic
  456.    wt: 1:   arithmetic videos Real Player Format
  457.    wt: 1:   4 Greater More Less Than Signs in General
  458.    wt: 1:   5 Square Roots with primes more still
  459.    wt: 1:   4 Square Roots with primes more
  460.    wt: 1:   2 Square Roots with Prime
  461.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  462.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  463.    wt: 1:   13 GCD from given Prime Factorization
  464.    wt: 1:   8 GCD from Euclidean Algorithm
  465.    wt: 1:   7 GCD and LCM from prime factorization
  466.    wt: 1:   5 Common Divisors 60 45 via Prime
  467.    wt: 1:   2 Least Common Multiple LCM intro via list method
  468.    wt: 1:   2 Counting with Tables and Trees I
  469.    wt: 1:   11 What are real lengths and numbers
  470.    wt: 1:   7 Converting or Changing Units
  471.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  472.    wt: 1:   2 Equality and Units
  473.    wt: 1:   D Three Term Ratios
  474.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  475.    wt: 1:   20 Dividing Fractions the Why
  476.    wt: 1:   17 Efficient Ways to Add and Subtract
  477.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  478.    wt: 1:   14 Adding and Subtracting with Like Denominators
  479.    wt: 1:   13 Fraction Comparison Algebraic View
  480.    wt: 1:   12 Fraction Comparison
  481.    wt: 1:   6 Multiplication Algebraically Take II
  482.    wt: 1:   2 Unit Fraction Multiplication
  483.    wt: 1:   D Remainders Modulo 11 Pair Rule
  484.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  485.    wt: 1:   A Associative Law Theorectical Note
  486.    wt: 1:   10 Integer Multiplication Formulas
  487.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  488.    wt: 1:   1 Integers as Coordinates
  489.    wt: 1:   21 Remainder Arithmetic Modulo 3
  490.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  491.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  492.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  493.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  494.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  495.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  496.    wt: 1:   19 video Prime Factorization Unique
  497.    wt: 1:   16 video Factors of 980 using prime
  498.    wt: 1:   12 LCD GCD and LCM using Primes
  499.    wt: 1:   11 Efficient Square Rule Use
  500.    wt: 1:   9 video Prime Factorization upto 19 squared
  501.    wt: 1:   8 video Prime Factorization upto 19
  502.    wt: 1:   7 Calculator Usage Notes and Cautions
  503.    wt: 1:   5 Prime Factorization and a Square Rule
  504.    wt: 1:   4 video Prime Factorization Introduction
  505.    wt: 1:   2 Prime and Composites less than 16
  506.    wt: 1:   1 video how Products are bigger than factor
  507.    wt: 1:   Long Division Backwards more
  508.    wt: 1:   Long Division forwards and backwards Example 3
  509.    wt: 1:   Long Division forwards and backwards Example 1
  510.    wt: 1:   10 Division by Five Long and Short Ways
  511.    wt: 1:   9 Why Long Division Works Take II
  512.    wt: 1:   8 Correcting the Mistake
  513.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  514.    wt: 1:   5 Long Division Include Zeroes or not
  515.    wt: 1:   3 Division Single Digit Divisor Example
  516.    wt: 1:   A Elementary Basis for Multiplication Methods
  517.    wt: 1:   4 Two and Three Digit Multipliers
  518.    wt: 1:   3 More One Digit Multipliers
  519.    wt: 1:   2 One Digit Multipliers
  520.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  521.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  522.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  523.    wt: 1:   5 A Tip for Efficent Subtraction
  524.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  525.    wt: 1:   2 Subtraction Easy Case Examples
  526.    wt: 1:   2 Decimal Counting Practices
  527.    wt: 1:   11 Place Value SI Standard International way
  528.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  529.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  530.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  531.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  532.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  533.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  534.    wt: 1:   Expression Evaluation how to show work
  535.    wt: 1:   The 20 Times Table
  536.    wt: 1:   The 12 Times Table Visually
  537.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  538.    wt: 1:   015 School and work day counting tables
  539.    wt: 1:   012 Division of Time Intervals by Time Intervals
  540.    wt: 1:   011 Division of Time Intervals By Numbers
  541.    wt: 1:   2 Time and Date Matters in School
  542.    wt: 1:   1 Intro of Kids To Time Date Skills
  543.    wt: 1:   Example 2 volume of a cone
  544.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  545.    wt: 1:   Example 2
  546.    wt: 1:   Area Between Curves Lesson Take 2
  547.    wt: 1:   2 Indefinite Integrals Exercises
  548.    wt: 1:   2 Second derivative test prequel
  549.    wt: 1:   29 Chain Rule Optional Reading
  550.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  551.    wt: 1:   26 Chain Rule Recognising outer inner functions
  552.    wt: 1:   25 Chain Rule Animated Examples Continued
  553.    wt: 1:   24 Chain Rule Animated Examples
  554.    wt: 1:   23 Chain Rule in general
  555.    wt: 1:   19 Chain Rule for linear functions
  556.    wt: 1:   17 Derivatives of quotients of sine and cosine
  557.    wt: 1:   14 sine and cosine derivatives 2nd step
  558.    wt: 1:   12 Quotient rule examples
  559.    wt: 1:   11 Quotient rule
  560.    wt: 1:   10 Power rule for negative integers
  561.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  562.    wt: 1:   10 Three one sided limits with infinite values
  563.    wt: 1:   7 Evaluation by immediate or delayed substitution
  564.    wt: 1:   3 Decimal insights for limits continuity convergence
  565.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  566.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  567.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  568.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  569.    wt: 1:   G.3 Constant Difference Theorem Proof
  570.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  571.    wt: 1:   F.5b Extreme Value Theorem
  572.    wt: 1:   F.5a Equicontinuity Theorems
  573.    wt: 1:   F.4 Finite Covering Theorem
  574.    wt: 1:   F.3 Intermediate Value Theorem
  575.    wt: 1:   E1 Error Control Inequalities
  576.    wt: 1:   D2 Limits of Monotone Sequences
  577.    wt: 1:   B3 Bolzano Weierstrass Theorem
  578.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  579.    wt: 1:   PostScript For and Against Decimal Perspectives
  580.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  581.    wt: 1:   Chapter 23 Links To Trigonometry
  582.    wt: 1:   Chapter 21 Arrow Addition
  583.    wt: 1:   Chapter 17. Area Approximation
  584.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  585.    wt: 1:   Chapter 12. Units and Slopes
  586.    wt: 1:   Chapter 11. Graphing Slope versus Position
  587.    wt: 1:   Chapter 4. More Slope Sign Analysis
  588.    wt: 1:   Chapter 2. Slopes and Ski Trails
  589.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  590.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  591.    wt: 1:   Chapter 28 Occurrence Tables
  592.    wt: 1:   Chapter 25. Mathematical Induction Examples
  593.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  594.    wt: 1:   Chapter 21. Third Reading Guide
  595.    wt: 1:   Chapter 20. Degrees and Radians
  596.    wt: 1:   Chapter 16. Painless Theorem Proving
  597.    wt: 1:   Postscript What is a Variable
  598.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  599.    wt: 1:   Solutions For Arithmetic Exercises
  600.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  601.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  602.    wt: 1:   Postscript A Three Remarks
  603.    wt: 1:   Chapter 12 Four Phases
  604.    wt: 1:   Chapter 11 Elementary Instruction
  605.    wt: 1:   Chapter 3 Algebra Difficulties
  606.    wt: 1:   Postscript C Consistency as a Tool for Reason
  607.    wt: 1:   Postscript A Story Telling
  608.    wt: 1:   Chapter 24 Direct and Indirect Reason
  609.    wt: 1:   Chapter 23 Truth Tables
  610.    wt: 1:   Chapter 21 Occurrence Tables
  611.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  612.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  613.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  614.    wt: 1:   Chapter 11 Accidental Patterns
  615.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  616.    wt: 1:   Chapter 2 Skill Development
  617.    wt: 1:   Three Remarks
  618.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  619.    wt: 1:   R Why Learn Mathematics Skills
  620.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  621.    wt: 1:   N Mathematics Prepare for College Studies
  622.    wt: 1:   M Words to extend arithmetic
  623.    wt: 1:   L Skills with take home value
  624.    wt: 1:   I. Logic and language skills
  625.    wt: 1:   H more Routine to non routine problem solving
  626.    wt: 1:   F. The student teacher tutor feedback loop
  627.    wt: 1:   D. Check work a must with a caution
  628.    wt: 1:   B. Domino effect of errors
  629.    wt: 1:   How to Build Skills and Confidence
  630.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  631.    wt: 1:   Chapter 3 Algebra Starter Lessons
  632.    wt: 1:   Chapter 2 Why Sets
  633.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  634.    wt: 1:   7 Games and Activities for Instruction
  635.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  636.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  637.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  638.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  639.    wt: 1:   Systematic Algebra Skill Development Missing Links
  640.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  641.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  642.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  643.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  644.    wt: 1:   The Math Forum and Site Content

Extended Search

1048 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  3.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  4.    wt: 9:   Chapter 23. Notation For Sums
  5.    wt: 9:   Chapter 12. Shorthand Usage Guide
  6.    wt: 9:   Chapter 11. Why Shorthand
  7.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  8.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  9.    wt: 8:   PS H Distributive Law For Complex Numbers
  10.    wt: 8:   PS E Multiplication with Polar Coordinates
  11.    wt: 8:   PS D Addition with Cartesian Coordinates
  12.    wt: 8:   PS B Parallelogram Construction Methods
  13.    wt: 8:   17 Right Bisectors of Triangle Sides
  14.    wt: 8:   2 Correspondence between Triangles
  15.    wt: 8:   2 Essentially one exercises three with solution
  16.    wt: 8:   13 Naming Identifying Formulas with Words
  17.    wt: 8:   1 Written work formats for developing and showing skill
  18.    wt: 8:   Postscript More on Better Performance
  19.    wt: 8:   Postscript For Better Performance
  20.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  21.    wt: 8:   Chapter 28 Occurrence Tables
  22.    wt: 8:   Chapter 25. Mathematical Induction Examples
  23.    wt: 8:   Chapter 24. Personal Investment and Pension EGS
  24.    wt: 8:   Chapter 21. Third Reading Guide
  25.    wt: 8:   Chapter 20. Degrees and Radians
  26.    wt: 8:   Chapter 18. Rules for Algebra
  27.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  28.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  29.    wt: 8:   Foreword
  30.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  31.    wt: 7:   PS G Rotation Distributes over Addition
  32.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  33.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  34.    wt: 7:   PS A Kite Construction Methods
  35.    wt: 7:   21 Parallelograms
  36.    wt: 7:   12 Side Angle Side Failure
  37.    wt: 7:   11 Triangle Construction Fails
  38.    wt: 7:   2 Algebraic View
  39.    wt: 7:   6 Algebraic Solution Example
  40.    wt: 7:   5 Algebraic Solutions Introduction
  41.    wt: 7:   12 Cone Cylinder Sphere Lesson Idea
  42.    wt: 7:   2 Another Rectangle Area Formula Example
  43.    wt: 7:   2 More and Less Than with Unlike Signs
  44.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  45.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  46.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  47.    wt: 7:   20 Uniqueness of Prime Factorization
  48.    wt: 7:   17 Identify and Count Factors using Primes
  49.    wt: 7:   15 video Factors of 20 using Prime Factorization
  50.    wt: 7:   Long Division forwards and backwards Example 2
  51.    wt: 7:   12 Why Long Division Works Take III
  52.    wt: 7:   11 Another Single Digit Divisor Example
  53.    wt: 7:   2 Division with Single Digit Divisors
  54.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  55.    wt: 7:   9 22 Minute Subtraction Review Video
  56.    wt: 7:   2 Subtraction Easy Case Examples
  57.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  58.    wt: 7:   Appendix B. How To Learn
  59.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  60.    wt: 7:   Chapter 16. Painless Theorem Proving
  61.    wt: 7:   Postscript What is a Variable
  62.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  63.    wt: 7:   Solutions For Arithmetic Exercises
  64.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  65.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  66.    wt: 6:   22 Square Root function graphically
  67.    wt: 6:   11 Growth and Decay in Biology
  68.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  69.    wt: 6:   8 Formulas for Fractional Exponents with Logarithms
  70.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  71.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  72.    wt: 6:   2 Square Root Simplification a prequel
  73.    wt: 6:   8 Notes for instructors or tutors
  74.    wt: 6:   12 motivation for term arctan
  75.    wt: 6:   2 Signed Coordinates
  76.    wt: 6:   Parallel Lines and Interior Angles
  77.    wt: 6:   10 Straight Lines through Origin Equations More
  78.    wt: 6:   26 Formulas for products of sines and cosines
  79.    wt: 6:   17G Pythagorean Theorem Converse
  80.    wt: 6:   17E Trig Formulas for dot and cross Products
  81.    wt: 6:   17D cis formulas for sine cosines and tangent
  82.    wt: 6:   12 cis formulas for sine cosines and tangent
  83.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  84.    wt: 6:   12 Spatial Coordinates
  85.    wt: 6:   2 Cartesian Coordinates with signs
  86.    wt: 6:   16 Angles Subtended By Chords and Diameters
  87.    wt: 6:   9 Construction of a right bisector
  88.    wt: 6:   Short Course on Euclidean Geometry
  89.    wt: 6:   2 Combing Counts Addition Skills and Principles
  90.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  91.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  92.    wt: 6:   7 Pythagorean Theorem Chinese Square Proof
  93.    wt: 6:   2 More and Less Than for Counts and Measures
  94.    wt: 6:   4 Four Examples Fractional Coefficients
  95.    wt: 6:   3 Four Examples
  96.    wt: 6:   1 Proper Equal Sign Usage
  97.    wt: 6:   11 Volume of Sphere
  98.    wt: 6:   10 Volume of Pyramid
  99.    wt: 6:   8 Compound Interest Formula Evaluation
  100.    wt: 6:   7 Compound Interest Formula Introduction
  101.    wt: 6:   6 Pythagorean Hypotenuse Calculation Example
  102.    wt: 6:   5 Box Volume Formula Example
  103.    wt: 6:   4 Circle Area Formula Example
  104.    wt: 6:   3 Triangle Area Formula Example
  105.    wt: 6:   1 Three Skills For Algebra
  106.    wt: 6:   1 More and Less Than for Counts and Measures
  107.    wt: 6:   5 Square Roots with primes more still
  108.    wt: 6:   4 Square Roots with primes more
  109.    wt: 6:   2 Square Roots with Prime
  110.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  111.    wt: 6:   12 GCD 2700 288 via Prime
  112.    wt: 6:   3 signed coordinates for maps and planes
  113.    wt: 6:   22 Complex Compound Fractions
  114.    wt: 6:   21 Working With Signs
  115.    wt: 6:   21 Reciprocals for Fractions and Wholes
  116.    wt: 6:   18 video Count Factors given Prime Factorization
  117.    wt: 6:   14 video Factors of 24 Take II
  118.    wt: 6:   13 video Factors of 24 using prime
  119.    wt: 6:   12 LCD GCD and LCM using Primes
  120.    wt: 6:   11 Efficient Square Rule Use
  121.    wt: 6:   10 video Prime Factorization upto 23 squared
  122.    wt: 6:   2 Prime and Composites less than 16
  123.    wt: 6:   Long Division Backwards more
  124.    wt: 6:   Long Division forwards and backwards Example 3
  125.    wt: 6:   Long Division forwards and backwards Example 1
  126.    wt: 6:   4 Division with 2 Digit Divsors
  127.    wt: 6:   6 Multiplication Commutes Order Not Important
  128.    wt: 6:   2 One Digit Multipliers
  129.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  130.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  131.    wt: 6:   Video Power Notation in Decimal Expansion
  132.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  133.    wt: 6:   5 A Tip for Efficent Subtraction
  134.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  135.    wt: 6:   8 What skills and work habits to require
  136.    wt: 6:   2 Decimal Counting Practices
  137.    wt: 6:   Appendix E. How To Study Mathematics and Why
  138.    wt: 6:   Appendix D. What to do in School and Why
  139.    wt: 6:   Appendix C. How to Read
  140.    wt: 6:   Chapter 31 Direct and Indirect Reason
  141.    wt: 6:   Chapter 30 Truth Tables
  142.    wt: 6:   Chapter 19. Functions and Sets
  143.    wt: 6:   Chapter 15. Solving Linear Equations
  144.    wt: 6:   Chapter 13. Second Reading Guide
  145.    wt: 6:   Chapter 10 Describing and Changing Calculations
  146.    wt: 6:   Chapter 6 Change of Language
  147.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  148.    wt: 6:   Chapter 4 Longer Chains of Reason
  149.    wt: 6:   Chapter 3 Chains of Reason
  150.    wt: 6:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  151.    wt: 5:   02 21 words for teachers
  152.    wt: 5:   sign monoticity analysis example 2
  153.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  154.    wt: 5:   20 Interchanging coordinates a reflection
  155.    wt: 5:   2 Algebraic use of function notation
  156.    wt: 5:   5 Natural Logarithm Calculator Exercises
  157.    wt: 5:   1 Calculator Starter Exercises
  158.    wt: 5:   11 arctan left inverse of tangent Graph
  159.    wt: 5:   2 cosine function more properties
  160.    wt: 5:   12 From Applied To Pure Mathematics
  161.    wt: 5:   11 Component Method
  162.    wt: 5:   6 Vectors with Coordinates
  163.    wt: 5:   3 Navigation with Arrows or Vectors
  164.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  165.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  166.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  167.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  168.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  169.    wt: 5:   C Straight Lines Slope from Coordinates
  170.    wt: 5:   B Straight Line Slope Scaling Properties More
  171.    wt: 5:   11 Straight Lines Graphing y=mx
  172.    wt: 5:   8 Straight Lines Equation for vertical
  173.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  174.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  175.    wt: 5:   17 tangent function angle sum formulas
  176.    wt: 5:   29 secant cosecant and cotangent for acute angles
  177.    wt: 5:   25 tangent double angle formula Slope connection
  178.    wt: 5:   24 tangent Angle Difference Formula
  179.    wt: 5:   21 sine and cosine Half Angle Formulas
  180.    wt: 5:   20 sine and cosine Double Angle Formulas
  181.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  182.    wt: 5:   17C sine and cosine double triple angle formulas
  183.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  184.    wt: 5:   11 sine and cosine double triple angle formulas
  185.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  186.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  187.    wt: 5:   12 Triangles Similarity More Problems
  188.    wt: 5:   4 Equations for lines three forms
  189.    wt: 5:   2 point slope equation for a line
  190.    wt: 5:   13 Pythagorean spatial distance formulas
  191.    wt: 5:   11 Triangle Inequality
  192.    wt: 5:   10 Pythagorean plane distance formula
  193.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  194.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  195.    wt: 5:   19 Right Triangle Similarity
  196.    wt: 5:   18 Triangle Similarity Take 1
  197.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  198.    wt: 5:   14 Parallel Lines Postulate
  199.    wt: 5:   13 Angle Side Angle Failure
  200.    wt: 5:   10 Dropping a perpendicular to line
  201.    wt: 5:   8 Isoceles Triangles
  202.    wt: 5:   7 Angle Side Angle
  203.    wt: 5:   6 Ruler and compass Angle Bisection
  204.    wt: 5:   5 Side Angle Side
  205.    wt: 5:   4 Side Side Side
  206.    wt: 5:   3 Isometry of Triangles Congruence
  207.    wt: 5:   1 Initial Concepts and Terms
  208.    wt: 5:   8 More Use of Maps Not Drawn to Scale
  209.    wt: 5:   21 Addition of Multiples of a Single Vector
  210.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  211.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  212.    wt: 5:   12 Real Numbers Line Signed Coordinates
  213.    wt: 5:   4 Commutative Law Groups Counting Form
  214.    wt: 5:   5 Proportionality in Equivalent Fractions
  215.    wt: 5:   4 Rates Ratios and Proporitionality
  216.    wt: 5:   3 Proportionality Examples
  217.    wt: 5:   1 What is Proportionality
  218.    wt: 5:   6 Compound Interest Forward and Backwards
  219.    wt: 5:   5 Triangle Area Formula Backwards
  220.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  221.    wt: 5:   3 Linear Equation Literal Solution More
  222.    wt: 5:   2 Linear Equation Literal Solution
  223.    wt: 5:   12 Real Number Additive Inverses or Negatives
  224.    wt: 5:   8 Coordinates for Maps and Planes
  225.    wt: 5:   5 Independent versus Dependent Variables
  226.    wt: 5:   4 Solving a triangular system exercise
  227.    wt: 5:   3 Solving triangular system example
  228.    wt: 5:   1 Essentially One Unknown
  229.    wt: 5:   2 Three Examples
  230.    wt: 5:   Formula Usage Show Work Format
  231.    wt: 5:   9 Volume of Cone
  232.    wt: 5:   4 Greater More Less Than Signs in General
  233.    wt: 5:   3 Properties of Square Roots with example
  234.    wt: 5:   1 Squares and Square Roots Introduction
  235.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  236.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  237.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  238.    wt: 5:   8 GCD from Euclidean Algorithm
  239.    wt: 5:   7 GCD and LCM from prime factorization
  240.    wt: 5:   2 signed and unsigned numbers as coordinates
  241.    wt: 5:   20 Dividing Fractions the Why
  242.    wt: 5:   12 Adding Integers More Examples
  243.    wt: 5:   11 Adding Integers Formulas and Examples
  244.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  245.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  246.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  247.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  248.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  249.    wt: 5:   19 video Prime Factorization Unique
  250.    wt: 5:   16 video Factors of 980 using prime
  251.    wt: 5:   9 video Prime Factorization upto 19 squared
  252.    wt: 5:   8 video Prime Factorization upto 19
  253.    wt: 5:   7 Calculator Usage Notes and Cautions
  254.    wt: 5:   5 Prime Factorization and a Square Rule
  255.    wt: 5:   4 video Prime Factorization Introduction
  256.    wt: 5:   1 video how Products are bigger than factor
  257.    wt: 5:   Long Division Backward
  258.    wt: 5:   Division with Counts and Length
  259.    wt: 5:   10 Division by Five Long and Short Ways
  260.    wt: 5:   9 Why Long Division Works Take II
  261.    wt: 5:   8 Correcting the Mistake
  262.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  263.    wt: 5:   5 Long Division Include Zeroes or not
  264.    wt: 5:   3 Division Single Digit Divisor Example
  265.    wt: 5:   A Elementary Basis for Multiplication Methods
  266.    wt: 5:   4 Two and Three Digit Multipliers
  267.    wt: 5:   3 More One Digit Multipliers
  268.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  269.    wt: 5:   Subtraction with J Conversions Example
  270.    wt: 5:   Subtraction Another Video Lesson
  271.    wt: 5:   8 Subtraction with Units of Measure
  272.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  273.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  274.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  275.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  276.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  277.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  278.    wt: 5:   G. Written work formats for developing and showing skill
  279.    wt: 4:   three goals for Mathematics Education
  280.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  281.    wt: 4:   22 Student Centered Highschool Mathematics
  282.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  283.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  284.    wt: 4:   Ages 12 to 14 Skills with take home value
  285.    wt: 4:   26 Function definitions done and coming
  286.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  287.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  288.    wt: 4:   23 Inverse Functions
  289.    wt: 4:   17 Function maxima minima and their location
  290.    wt: 4:   12 Function Domain Recognition Exercises
  291.    wt: 4:   11 Function Domain Range Source and Targets
  292.    wt: 4:   9 Set theory term relation possible origins
  293.    wt: 4:   5 Function notation for geometric transformations
  294.    wt: 4:   3 Formula or function graphing exercise
  295.    wt: 4:   10 Exponential Growth and Decay Models
  296.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  297.    wt: 4:   16 cotangent function Definition Graph and Inverse
  298.    wt: 4:   15 cosecant function Definition Graph and Inverse
  299.    wt: 4:   14 secant function Definition Graph and Inverse
  300.    wt: 4:   13 cosecant function Definition Graph and Inverse
  301.    wt: 4:   10 arctan left inverse of tangent Definition
  302.    wt: 4:   9 motivation for name arcsin
  303.    wt: 4:   7 arcsin left inverse of sine Definition
  304.    wt: 4:   5 Swapping Coordinates is a reflection
  305.    wt: 4:   4 possible motivation for term arccos
  306.    wt: 4:   1 cosine function properties
  307.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  308.    wt: 4:   13 Velocity Vectors in Physics
  309.    wt: 4:   9 Head to Tail Coordinate View
  310.    wt: 4:   8 Parallel Vectors
  311.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  312.    wt: 4:   1 Unsigned Coordinates
  313.    wt: 4:   Vector and Complex Number Applet
  314.    wt: 4:   4 graphing y=Asin(x c)
  315.    wt: 4:   3 graphing y=f(x c) plus K
  316.    wt: 4:   1 graphing y=f(x a)
  317.    wt: 4:   Parallel Lines and Parallel Transversals
  318.    wt: 4:   Triangle Angles Sum To 180 Degrees
  319.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  320.    wt: 4:   Straight Lines ASA Intersection Study More
  321.    wt: 4:   A Straight Line Slope Scaling Properties
  322.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  323.    wt: 4:   12 Straight Lines Graphing mx plus b
  324.    wt: 4:   9 Straight Lines through Origin Equations
  325.    wt: 4:   7 Tangent Function is odd on this domain
  326.    wt: 4:   5 Tangent Function Graph
  327.    wt: 4:   4 Tangent Function Properties
  328.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  329.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  330.    wt: 4:   28 Expressing products of sines cosines as sums
  331.    wt: 4:   27 Logarithmic use of products of sines and cosines
  332.    wt: 4:   17F Law of cosines
  333.    wt: 4:   17A The complex number valued trig function cis
  334.    wt: 4:   14 cosine even and sine and tangent are odd
  335.    wt: 4:   12 Graph of tangent function for one period
  336.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  337.    wt: 4:   21 Logarithms Powers and Exponentials
  338.    wt: 4:   20 N th Roots of Complex Numbers
  339.    wt: 4:   17 Cube Roots of unity
  340.    wt: 4:   15 Pythagorean Theorem Converse
  341.    wt: 4:   13 Trig Formulas for dot and cross Products
  342.    wt: 4:   2 Complex Numbers made easier we hope
  343.    wt: 4:   8 Triangles Cascade Problem Solving
  344.    wt: 4:   7 Trignometric Ratios Unit Circle
  345.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  346.    wt: 4:   3 Trigonometric Ratios sine and cosine
  347.    wt: 4:   11 Triangle Similarity Missing Side Problem
  348.    wt: 4:   4 Similarity Definition with Coordinate
  349.    wt: 4:   3 Similarity by Design with coordinates
  350.    wt: 4:   2 Similarity By Design
  351.    wt: 4:   12 Links Lessons elsewhere
  352.    wt: 4:   11 A Partial Summary
  353.    wt: 4:   4 Polar Coordinates to and from
  354.    wt: 4:   3 Rectangular Coordinates Review
  355.    wt: 4:   1 Cartesian Coordinates sans signs
  356.    wt: 4:   6 Figuring with Maps Not to Scale
  357.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  358.    wt: 4:   4 Angles on Maps Plans drawn to scale
  359.    wt: 4:   3 Lengths and Areas on Maps and Plans
  360.    wt: 4:   2 Measuring Area Directly
  361.    wt: 4:   26 More Less Greater Than Comparison
  362.    wt: 4:   22 Multiplication of Signed Numbers
  363.    wt: 4:   19 Signed Multiples of Vectors
  364.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  365.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  366.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  367.    wt: 4:   13 Arrows and Vectors in a Plane
  368.    wt: 4:   11 Signed Number Addition and Addition Properties
  369.    wt: 4:   E Long Division Methods more
  370.    wt: 4:   C Three Decimal Subtraction Methods
  371.    wt: 4:   6 Column Methods for Decimal Multiplication
  372.    wt: 4:   5 Distributive Law for Whole Numbers
  373.    wt: 4:   3 Multiplicative Counting Skills Principles
  374.    wt: 4:   1 The Counting Origins of Numbers
  375.    wt: 4:   3 Inequalities Algebraically
  376.    wt: 4:   2 Fraction Operations Physical Development
  377.    wt: 4:   1 Changing Calculations
  378.    wt: 4:   5 Greater More Less Than Signs in General
  379.    wt: 4:   3 More and Less Than with Unlike Signs
  380.    wt: 4:   11 Real Number Addition
  381.    wt: 4:   9 Coordinates for Regions in Space
  382.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  383.    wt: 4:   2 GE II Comparison
  384.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  385.    wt: 4:   7 Cautious or Safe Set Construction
  386.    wt: 4:   2 Venn Diagrams
  387.    wt: 4:   6 Three Notions of What is a Variable
  388.    wt: 4:   4 A Brief Story of numbers and algebra
  389.    wt: 4:   2 What is a Variable
  390.    wt: 4:   3 Comparison of Negative Numbers
  391.    wt: 4:   13 GCD from given Prime Factorization
  392.    wt: 4:   5 Common Divisors 60 45 via Prime
  393.    wt: 4:   2 Least Common Multiple LCM intro via list method
  394.    wt: 4:   2 Counting with Tables and Trees I
  395.    wt: 4:   11 What are real lengths and numbers
  396.    wt: 4:   4 signed coordinates for regions in space
  397.    wt: 4:   19 Dividing Fractions How TO
  398.    wt: 4:   18 Efficient Ways to Multiply
  399.    wt: 4:   17 Efficient Ways to Add and Subtract
  400.    wt: 4:   11 Simplification an Algebraic View
  401.    wt: 4:   2 Unit Fraction Multiplication
  402.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  403.    wt: 4:   26 Divisibility by 2 3 5 Example
  404.    wt: 4:   23 Remainder Arithmetic Modulo 2
  405.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  406.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  407.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  408.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  409.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  410.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  411.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  412.    wt: 4:   3 video Primes and Composites from 9 times table
  413.    wt: 4:   7 Long Divison Mistake Catching
  414.    wt: 4:   1 Divsion Physical Examples
  415.    wt: 4:   D Decimal Multiplication Methods Derived
  416.    wt: 4:   C Counting Areas with Powers of Ten
  417.    wt: 4:   B Powers of Ten
  418.    wt: 4:   5 Decimal Fraction Multiplication
  419.    wt: 4:   1 Why 3 times 5 gives 15
  420.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  421.    wt: 4:   7 Adding decimal fractions using decimal point
  422.    wt: 4:   6. Counting and adding units and mixed units
  423.    wt: 4:   5. How to add decimals C. Examples
  424.    wt: 4:   4. How to add with decimals B with conversions
  425.    wt: 4:   3. How to add with decimals A sans conversions
  426.    wt: 4:   1. Explaining Addition Table
  427.    wt: 4:   11 Place Value SI Standard International way
  428.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  429.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  430.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  431.    wt: 4:   Quick history of numbers and algebra
  432.    wt: 4:   Formula Evaluation how to show work
  433.    wt: 4:   The 20 Times Table
  434.    wt: 4:   22 Chain Rule for polynomials
  435.    wt: 4:   21 Chain Rule for powers
  436.    wt: 4:   Chapter 22 Complex Numbers
  437.    wt: 4:   Chapter 2 For and Against Mathematics
  438.    wt: 4:   Postscript B More on Story Telling and Reason
  439.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  440.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  441.    wt: 4:   S Adding words to algebra
  442.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  443.    wt: 4:   L Skills with take home value
  444.    wt: 4:   J. More on written work and showing skill
  445.    wt: 4:   E. When and how to correct errors
  446.    wt: 4:   B. Domino effect of errors
  447.    wt: 4:   3 Telling Tracking Time Temporal and More Place Sense
  448.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  449.    wt: 3:   Skills Chapter 2 Geometry
  450.    wt: 3:   11 pure mathematics
  451.    wt: 3:   2 arithmetic with signed numbers
  452.    wt: 3:   Secondary Three Mathematics
  453.    wt: 3:   geometric implications for algebra
  454.    wt: 3:   teaching tutoring algebraic reason
  455.    wt: 3:   Lessening Algebra Difficulties
  456.    wt: 3:   the trouble with algebra
  457.    wt: 3:   04 25 when to stop or suspend mathemat
  458.    wt: 3:   02 20 mathematics education references
  459.    wt: 3:   three aims for mathematics students
  460.    wt: 3:   formal or informal peer review
  461.    wt: 3:   Prequel In For A Penny In For A Pound
  462.    wt: 3:   words for mathematics instructor
  463.    wt: 3:   B Energy Power02
  464.    wt: 3:   2 Conductance Resistance Duality02
  465.    wt: 3:   24 Standards For Skill Develoment Take II
  466.    wt: 3:   24 Standards For Skill Develoment
  467.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  468.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  469.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  470.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  471.    wt: 3:   17 Math Booklets for children and young teenagers
  472.    wt: 3:   12 Goals and Objectives For Mathematics
  473.    wt: 3:   11 Help and Defend Your Child or Teens Education
  474.    wt: 3:   2 Reading and Writing Skills
  475.    wt: 3:   Ages 12 to 14 Geometry
  476.    wt: 3:   Ages 12 to 14 Arithmetic
  477.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  478.    wt: 3:   sign monoticity analysis example 4
  479.    wt: 3:   sign monoticity analysis example 3
  480.    wt: 3:   sign monoticity analysis example 1
  481.    wt: 3:   19 Horizontal line rule and method
  482.    wt: 3:   16 Increasing or decreasing on intervals
  483.    wt: 3:   6 Set Existence Formation and Notation
  484.    wt: 3:   10 quadratic exercises
  485.    wt: 3:   8 quadratics backward use of various formulas
  486.    wt: 3:   7 quadratic formulla derivation
  487.    wt: 3:   3 quadratics factoring by inspection
  488.    wt: 3:   2 quadratics graphing in general
  489.    wt: 3:   Quadratics in 10 steps
  490.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  491.    wt: 3:   4 Polynomials Long division linear divisor
  492.    wt: 3:   2 Column Multiplication Method
  493.    wt: 3:   Rewriting algebraic substitution as function substitutions
  494.    wt: 3:   8 arcsin left inverse of sine Graph
  495.    wt: 3:   6 Graph of arccos function
  496.    wt: 3:   3 Left Inverse of cosine arccos definition
  497.    wt: 3:   9 Summary Degrees to Radians and back
  498.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  499.    wt: 3:   2 Radian Measure Numerical Value of one degree
  500.    wt: 3:   A Global Time and Navigation
  501.    wt: 3:   15 Dot and Cross Product
  502.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  503.    wt: 3:   10 Parallelogram Addition Method
  504.    wt: 3:   5 Head To Tail Arrow Addition
  505.    wt: 3:   4 Resultant of a Sum of Movements
  506.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  507.    wt: 3:   14 Straight Lines Equations General Case
  508.    wt: 3:   1 Straight Lines Slope Concept
  509.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  510.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  511.    wt: 3:   32 seven rows of pascals triangle
  512.    wt: 3:   30 unit circle calculation of six trigonometric functions
  513.    wt: 3:   18 sum of sinusoidal waves as a single wave
  514.    wt: 3:   16 Right Triangle Complementary Angle Relations
  515.    wt: 3:   15 sine cosine Complementary Angle Relations
  516.    wt: 3:   13 Graph of tangent function many periods
  517.    wt: 3:   11 tangent function undefined when terminal side vertical
  518.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  519.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  520.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  521.    wt: 3:   2 Quadrant I reference Angles
  522.    wt: 3:   16 References and Originality Question
  523.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  524.    wt: 3:   1 Rectangular Polar Coordinates Review
  525.    wt: 3:   1 Angle Measurement with Degrees
  526.    wt: 3:   Why Trigonometry the whyslopes view
  527.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  528.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  529.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  530.    wt: 3:   1 Early Concept of Like or Similar Shapes
  531.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  532.    wt: 3:   8 Mid Point Formula
  533.    wt: 3:   5 Algebraic View of Slopes
  534.    wt: 3:   3 Slope product for perpendicular lines
  535.    wt: 3:   8 Distance Between Points on a Line
  536.    wt: 3:   7 Complex Numbers Appetizer
  537.    wt: 3:   6 Polar Multiplication and Rotation
  538.    wt: 3:   5 Cartesian Addition and Translation
  539.    wt: 3:   A Measurement with Ruler Proper Use
  540.    wt: 3:   1 Length Measurement
  541.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  542.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  543.    wt: 3:   23 Distributive Law Two Derivations
  544.    wt: 3:   15 Head to Tails in place Addition Associative
  545.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  546.    wt: 3:   2 Counting Digits in Decimal Multiplication
  547.    wt: 3:   D Long Division Methods
  548.    wt: 3:   B Decimal Comparison and Subtraction
  549.    wt: 3:   A Decimal Addition Columm Methods
  550.    wt: 3:   8 Column Multiplication Methods in General
  551.    wt: 3:   7 Decimals Multiplication Methods Examples
  552.    wt: 3:   5 Areas of Rectangles Revisited
  553.    wt: 3:   4 Fraction Operations Axiomatic Development
  554.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  555.    wt: 3:   6 Equations and Systems Equivalent or Implied
  556.    wt: 3:   5 Equality in Algebra
  557.    wt: 3:   3 Product Axioms Two Forms
  558.    wt: 3:   2 Addition and Multiplication Axioms
  559.    wt: 3:   4 Comparison of Negative Numbers
  560.    wt: 3:   1 Real Numbers Comparison
  561.    wt: 3:   16 Real Numbers Comparison
  562.    wt: 3:   15 Real Number Division
  563.    wt: 3:   14 Real Number Multiplication
  564.    wt: 3:   13 Real Number Subtraction
  565.    wt: 3:   10 Real Number Lengths and Signs
  566.    wt: 3:   7 Real Numbers as Line Cordinates
  567.    wt: 3:   5 Rational Numbers More
  568.    wt: 3:   2 Integers
  569.    wt: 3:   3 Geometric Formulas and Function Notation
  570.    wt: 3:   2 Computation Rules Evaluation
  571.    wt: 3:   1 Formulas Dependence and Function Notation
  572.    wt: 3:   More Exercises
  573.    wt: 3:   Skill Development Notes
  574.    wt: 3:   9 Three Examples
  575.    wt: 3:   6 Three Examples
  576.    wt: 3:   5 Three Examples
  577.    wt: 3:   Using Letters for Physical Quantities
  578.    wt: 3:   9 Sets in Probability and Statistics
  579.    wt: 3:   8 Sets of Numbers
  580.    wt: 3:   6 Power Set Notation
  581.    wt: 3:   5 Product Builder Notation
  582.    wt: 3:   4 Subset Builder Notation
  583.    wt: 3:   3 Counting with Sets etc
  584.    wt: 3:   1 Finite Sets
  585.    wt: 3:   3 Adding Words To Arithmetic
  586.    wt: 3:   arithmetic videos Real Player Format
  587.    wt: 3:   6 GCD from Prime
  588.    wt: 3:   4 LCM of 8 and 10 via Prime
  589.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  590.    wt: 3:   1 Least Common Multiples LCM Introduction
  591.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  592.    wt: 3:   4 Counting with Trees Product Rule Take I
  593.    wt: 3:   3 Counting with Tables and Trees II
  594.    wt: 3:   1 Counting and Counting Methods I
  595.    wt: 3:   7 Converting or Changing Units
  596.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  597.    wt: 3:   2 Equality and Units
  598.    wt: 3:   D Three Term Ratios
  599.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  600.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  601.    wt: 3:   14 Adding and Subtracting with Like Denominators
  602.    wt: 3:   13 Fraction Comparison Algebraic View
  603.    wt: 3:   12 Fraction Comparison
  604.    wt: 3:   6 Multiplication Algebraically Take II
  605.    wt: 3:   1 What is a fraction Take II
  606.    wt: 3:   1 What is a fraction
  607.    wt: 3:   D Remainders Modulo 11 Pair Rule
  608.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  609.    wt: 3:   A Associative Law Theorectical Note
  610.    wt: 3:   13 Subtraction with Additive Inverse
  611.    wt: 3:   10 Integer Multiplication Formulas
  612.    wt: 3:   1 Integers as Coordinates
  613.    wt: 3:   21 Remainder Arithmetic Modulo 3
  614.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  615.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  616.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  617.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  618.    wt: 3:   5 Remainder Arithmetic Modulo 5
  619.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  620.    wt: 3:   1 Remainder Arithmetic Modulo 10
  621.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  622.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  623.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  624.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  625.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  626.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  627.    wt: 3:   Expression Evaluation how to show work
  628.    wt: 3:   The 12 Times Table Visually
  629.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  630.    wt: 3:   Area Between Curves Lesson Take 2
  631.    wt: 3:   38 Formulas and derivatives for powers and roots
  632.    wt: 3:   28 Chain Rule Preparation for a Proof
  633.    wt: 3:   20 Chain Rule for Pulley Systems
  634.    wt: 3:   11 Quotient rule
  635.    wt: 3:   10 Power rule for negative integers
  636.    wt: 3:   4 Sum Rule
  637.    wt: 3:   3 Motivation for Limit Definition Take 2
  638.    wt: 3:   2 Motivation for Limit Definition Take 1
  639.    wt: 3:   11 Limits at infinity Three Examples
  640.    wt: 3:   2 Algebraic codification
  641.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  642.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  643.    wt: 3:   Chapter 12 Four Phases
  644.    wt: 3:   Chapter 11 Elementary Instruction
  645.    wt: 3:   Foreword
  646.    wt: 3:   Postscript C Consistency as a Tool for Reason
  647.    wt: 3:   Postscript A Story Telling
  648.    wt: 3:   Chapter 24 Direct and Indirect Reason
  649.    wt: 3:   Chapter 23 Truth Tables
  650.    wt: 3:   Chapter 21 Occurrence Tables
  651.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  652.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  653.    wt: 3:   Chapter 11 Accidental Patterns
  654.    wt: 3:   Chapter 2 Skill Development
  655.    wt: 3:   Three Remarks
  656.    wt: 3:   Foreword
  657.    wt: 3:   R Why Learn Mathematics Skills
  658.    wt: 3:   N Mathematics Prepare for College Studies
  659.    wt: 3:   M Words to extend arithmetic
  660.    wt: 3:   N Improving Marks on Tests and Finals
  661.    wt: 3:   I. Logic and language skills
  662.    wt: 3:   H more Routine to non routine problem solving
  663.    wt: 3:   F. The student teacher tutor feedback loop
  664.    wt: 3:   D. Check work a must with a caution
  665.    wt: 3:   How to Build Skills and Confidence
  666.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  667.    wt: 3:   7 Games and Activities for Instruction
  668.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  669.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  670.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  671.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  672.    wt: 3:   More Algebra and Slope based Calculus Preview
  673.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  674.    wt: 2:   Skills Chapter 3 Algebra
  675.    wt: 2:   Skills Chapter 1 Arithmetic
  676.    wt: 2:   9 combinatorics probability sets
  677.    wt: 2:   4 algebra
  678.    wt: 2:   1 arithmetic with unsigned numbers
  679.    wt: 2:   three goals to set for students
  680.    wt: 2:   Applied Maths Program14092009 POMME variant
  681.    wt: 2:   grouping students according to ability
  682.    wt: 2:   Maps Plans Drawings
  683.    wt: 2:   talk the algebra talk
  684.    wt: 2:   three difficulties
  685.    wt: 2:   teaching tips
  686.    wt: 2:   04 29 New Mathematics Curriculum
  687.    wt: 2:   three kinds of reason in mathematics
  688.    wt: 2:   fairness and inductive principles for instruction
  689.    wt: 2:   2 Energy Power Heat07
  690.    wt: 2:   3 Like resistors in parallel
  691.    wt: 2:   2 Unlike resistors in parallel01
  692.    wt: 2:   C Electromotive force conventional current02
  693.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  694.    wt: 2:   10 Ends values for work study instruction
  695.    wt: 2:   Ages 10 to 12 Geometry
  696.    wt: 2:   Ages 10 to 12 Arithmetic
  697.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  698.    wt: 2:   18 Vertical Line Rule and Method
  699.    wt: 2:   15 Sign analysis of functions
  700.    wt: 2:   14 Surjections Injections Bijections
  701.    wt: 2:   13 From one to one to many to one
  702.    wt: 2:   10 Interval Notation
  703.    wt: 2:   8 Set view of relations and functions
  704.    wt: 2:   7 Functions with finite domains
  705.    wt: 2:   4 Function notation in and beyond mathematics
  706.    wt: 2:   1 Geometric Introduction of Function Notation
  707.    wt: 2:   Introduction Reading Guide
  708.    wt: 2:   A Quadratics Summary
  709.    wt: 2:   9 quadratics physical and further context
  710.    wt: 2:   6 quadratics numerical approach
  711.    wt: 2:   5 quadratics completing the square
  712.    wt: 2:   4 quadratics difference of two squares
  713.    wt: 2:   1 quadratics graphing exercises
  714.    wt: 2:   7 Links Lessons Elsewhere
  715.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  716.    wt: 2:   3 Polynomials Multiplication Addition
  717.    wt: 2:   1 Polynomials Distributive Law
  718.    wt: 2:   8 Radian Measures of Common Angles
  719.    wt: 2:   7 Radian Measures in special Triangles
  720.    wt: 2:   6 Radian Measure to Degrees
  721.    wt: 2:   5 Degrees to Radian Measure
  722.    wt: 2:   1 Degrees and Radians Introduction
  723.    wt: 2:   Straight Lines ASA Intersection Study
  724.    wt: 2:   Straight Lines Instersection Solving Equations
  725.    wt: 2:   Straight Lines Intersection of
  726.    wt: 2:   31 basic secant cosecant cotangent trig identities
  727.    wt: 2:   10 Graphs of sines and cosines many periods
  728.    wt: 2:   9 Graphs of sine and cosine over one period
  729.    wt: 2:   8 period of tangent function
  730.    wt: 2:   7 period of sine and cosine
  731.    wt: 2:   1 Unit Points Reflections Rotations
  732.    wt: 2:   Unit Circle Development of Trigonometry
  733.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  734.    wt: 2:   19 N th Roots of Unity
  735.    wt: 2:   18 Sixth Roots of Unity
  736.    wt: 2:   14 Law of cosines
  737.    wt: 2:   9 The complex number valued trig function cis
  738.    wt: 2:   8 Unit Circle Development of Trigonometry
  739.    wt: 2:   7 Second Way to Calculate Products
  740.    wt: 2:   6 Field Properties of Complex Number
  741.    wt: 2:   5 An Easy Proof of the Distributive Law
  742.    wt: 2:   4 Multiplication Properties
  743.    wt: 2:   3 Addition Properties
  744.    wt: 2:   Appetizer A Complex Number Applet
  745.    wt: 2:   9 Similarity of Triangles Usual Criteria
  746.    wt: 2:   8 Similarity of Triangles and Polygons
  747.    wt: 2:   7 Translations Rotations Reflections Dilatations
  748.    wt: 2:   6 Geometric Diagrams in Class
  749.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  750.    wt: 2:   Four Simple Exercises
  751.    wt: 2:   10 Midpoint of [a b] and [b a]
  752.    wt: 2:   7 Exercises to test skill and concept mastery
  753.    wt: 2:   6 Intersection of lines by solving linear systems
  754.    wt: 2:   1 Numerical view of lines and their equations
  755.    wt: 2:   What is and is not here
  756.    wt: 2:   About Folder Contents
  757.    wt: 2:   musings do not puiblish real numbers
  758.    wt: 2:   A Modular and Remainder Arithmetic
  759.    wt: 2:   A Signed Number Arithmetic Review
  760.    wt: 2:   9 Division with Digits after Decimal Point
  761.    wt: 2:   8 Division and Mulplication of Compound Fractions
  762.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  763.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  764.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  765.    wt: 2:   4 Location of Point in Decimal Addition
  766.    wt: 2:   3 Location of Point in Decimal Multiplication
  767.    wt: 2:   1 Fractions with Finite Decimal Expansions
  768.    wt: 2:   4 Subtraction and Division Axioms
  769.    wt: 2:   1 Equivalent Computation Rules
  770.    wt: 2:   6 Unsigned Real Numbers
  771.    wt: 2:   4 Rational Numbers
  772.    wt: 2:   3 Fractions
  773.    wt: 2:   1 Whole and Natural Numbers
  774.    wt: 2:   4 Changing Letters
  775.    wt: 2:   Simple Exercises
  776.    wt: 2:   4 GE III Animated Examples
  777.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  778.    wt: 2:   3 GE III Equation Addition and Multiplication
  779.    wt: 2:   1 GE Substitution four examples
  780.    wt: 2:   10 One Example
  781.    wt: 2:   8 One Example
  782.    wt: 2:   7 Two Examples
  783.    wt: 2:   4 Two Examples
  784.    wt: 2:   3 Two Examples
  785.    wt: 2:   5 Talking about Numbers and Quantities
  786.    wt: 2:   About Folder Contents
  787.    wt: 2:   10 dividing signed numbers
  788.    wt: 2:   9 subtracting signed numbers
  789.    wt: 2:   8 multiplying signed numbers
  790.    wt: 2:   7 negative and additive inverse
  791.    wt: 2:   6 adding signed numbers
  792.    wt: 2:   5 lengths and signs of numbers
  793.    wt: 2:   6 Simplification of Fractions with Units
  794.    wt: 2:   4 Fractions with Units
  795.    wt: 2:   3 Multiplying Units and Numbers
  796.    wt: 2:   1 Addition and Subtraction with Units
  797.    wt: 2:   B Fractions and Two Term Ratios
  798.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  799.    wt: 2:   16 Addition Subtraction Comparision Compared
  800.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  801.    wt: 2:   9 Improper Fractions and Mixed Numbers
  802.    wt: 2:   8 Numerals Fractionals Quantals Take II
  803.    wt: 2:   7 Numerals Fractionals Quantals
  804.    wt: 2:   6 Multiplication of Mixed Numbers
  805.    wt: 2:   5 Equivalent Fractions
  806.    wt: 2:   4 Fraction Multiplication
  807.    wt: 2:   3 Unit fraction of a fraction
  808.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  809.    wt: 2:   B Integer Long Division Multiple Choices
  810.    wt: 2:   9 Multiplying Integers
  811.    wt: 2:   8 Multiplication by Signed Numbers Integers
  812.    wt: 2:   7 Multiplication by Signs
  813.    wt: 2:   6 Multiplication by Natural Numbers
  814.    wt: 2:   5 Zero Movement and Additive Inverses
  815.    wt: 2:   4 Adding Movements wiht opposite directions
  816.    wt: 2:   3 Adding Movements with same direction
  817.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  818.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  819.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  820.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  821.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  822.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  823.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  824.    wt: 2:   Exact Arithmetic Wholes and Fractions
  825.    wt: 2:   About folder contents
  826.    wt: 2:   015 School and work day counting tables
  827.    wt: 2:   012 Division of Time Intervals by Time Intervals
  828.    wt: 2:   011 Division of Time Intervals By Numbers
  829.    wt: 2:   2 Time and Date Matters in School
  830.    wt: 2:   1 Intro of Kids To Time Date Skills
  831.    wt: 2:   Example 2 volume of a cone
  832.    wt: 2:   Example 1. Area Between x and x squared
  833.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  834.    wt: 2:   Example 3
  835.    wt: 2:   Example 2
  836.    wt: 2:   Area Between Curves Lesson Take 1
  837.    wt: 2:   A Chain Rule Real Player video examples
  838.    wt: 2:   30Chain Rule A Proof
  839.    wt: 2:   29 Chain Rule Optional Reading
  840.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  841.    wt: 2:   26 Chain Rule Recognising outer inner functions
  842.    wt: 2:   25 Chain Rule Animated Examples Continued
  843.    wt: 2:   24 Chain Rule Animated Examples
  844.    wt: 2:   23 Chain Rule in general
  845.    wt: 2:   19 Chain Rule for linear functions
  846.    wt: 2:   17 Derivatives of quotients of sine and cosine
  847.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  848.    wt: 2:   14 sine and cosine derivatives 2nd step
  849.    wt: 2:   12 Quotient rule examples
  850.    wt: 2:   9 Reciprocal rule
  851.    wt: 2:   8 Differentiation of polynomials
  852.    wt: 2:   7 Animated Differentiation Examples
  853.    wt: 2:   6 Power rule from product rule
  854.    wt: 2:   5 Product Rule
  855.    wt: 2:   10 Three one sided limits with infinite values
  856.    wt: 2:   5 Jumps and absence of unlimited error control
  857.    wt: 2:   3 Decimal insights for limits continuity convergence
  858.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  859.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  860.    wt: 2:   G.3 Constant Difference Theorem Proof
  861.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  862.    wt: 2:   F.4 Finite Covering Theorem
  863.    wt: 2:   F.3 Intermediate Value Theorem
  864.    wt: 2:   F.2 Closed Range Theorem
  865.    wt: 2:   E2 Algebraic Properties of Limits
  866.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  867.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  868.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  869.    wt: 2:   Chapter 23 Links To Trigonometry
  870.    wt: 2:   Chapter 21 Arrow Addition
  871.    wt: 2:   Chapter 17. Area Approximation
  872.    wt: 2:   Chapter 12. Units and Slopes
  873.    wt: 2:   Chapter 11. Graphing Slope versus Position
  874.    wt: 2:   Chapter 2. Slopes and Ski Trails
  875.    wt: 2:   Foreword
  876.    wt: 2:   Postscript A Three Remarks
  877.    wt: 2:   Chapter 3 Algebra Difficulties
  878.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  879.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  880.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  881.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  882.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  883.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  884.    wt: 2:   O On Learning Mathematics and Science
  885.    wt: 2:   H Jigsaw puzzles and problem solving
  886.    wt: 2:   C. Domino effect of being careful
  887.    wt: 2:   A. Skill has to be seen to believed
  888.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  889.    wt: 2:   Chapter 6 More Algebra and Geometry
  890.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  891.    wt: 2:   Chapter 2 Why Sets
  892.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  893.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  894.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  895.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  896.    wt: 2:   Systematic Algebra Skill Development Missing Links
  897.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  898.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  899.    wt: 1:   Appendix 2 primary school Arithmetic 01
  900.    wt: 1:   J LAMP Introduction Extrinsic Origins
  901.    wt: 1:   G LAMP Introduction Problem Solving Skills
  902.    wt: 1:   Skills Chapter 5 Calculus
  903.    wt: 1:   Skills Chapter 4 Logic
  904.    wt: 1:   Ramblings Extrinsic numbers theory
  905.    wt: 1:   Ramblings Introduction Algebra Essay
  906.    wt: 1:   Skills Chapter 0 Introduction
  907.    wt: 1:   10 statistics
  908.    wt: 1:   8 analytic geometry etc
  909.    wt: 1:   7 logic review and decimals an odd combination
  910.    wt: 1:   6 polynomials etc
  911.    wt: 1:   5 logarithms and exponentials etc
  912.    wt: 1:   3 Euclidean Geometry Leanly
  913.    wt: 1:   What is POMME
  914.    wt: 1:   why bother
  915.    wt: 1:   permissions for teachers
  916.    wt: 1:   Math Ed if it must be short make it lean effective
  917.    wt: 1:   activities for students
  918.    wt: 1:   site origins
  919.    wt: 1:   About site lesson plans
  920.    wt: 1:   Mathematics Education Professors
  921.    wt: 1:   learning takes time
  922.    wt: 1:   Postscript 2007 01 10
  923.    wt: 1:   Education Reform Inconsistencies
  924.    wt: 1:   how letters appear
  925.    wt: 1:   Secondary Two Mathematics
  926.    wt: 1:   Secondary One Mathematics
  927.    wt: 1:   What to Tell Students
  928.    wt: 1:   mathematics curriculum shifts
  929.    wt: 1:   05 13 OldSiteEntrancePage
  930.    wt: 1:   standards for course material
  931.    wt: 1:   Theory of Knowledge
  932.    wt: 1:   Four ways to improve education reform
  933.    wt: 1:   How to be a better instructor
  934.    wt: 1:   need for a mixed mathematics curriculum
  935.    wt: 1:   education an empirical art
  936.    wt: 1:   chapitre 12 00 les iles et division
  937.    wt: 1:   chapitre 04 02 Deuxieme enigme
  938.    wt: 1:   chapitre 02 00 La Communication des idees
  939.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  940.    wt: 1:   problemes responses
  941.    wt: 1:   deux definitions pour variable
  942.    wt: 1:   4 Energy Power Heat09
  943.    wt: 1:   3 Energy Power Heat08
  944.    wt: 1:   1 Energy Power Heat06
  945.    wt: 1:   E Energy Power05
  946.    wt: 1:   D Energy Power04
  947.    wt: 1:   C Energy Power03
  948.    wt: 1:   A Energy Power01
  949.    wt: 1:   E Wire Resistance Calculation03
  950.    wt: 1:   D Wire Resistance Calculation02
  951.    wt: 1:   B Wire Resistance Qualitative02
  952.    wt: 1:   1 Like resistors in series
  953.    wt: 1:   H Series Circuit02
  954.    wt: 1:   F Unlike Resistors in Series
  955.    wt: 1:   B Electromotive force conventional current01
  956.    wt: 1:   Home Tutoring and Home Schooling
  957.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  958.    wt: 1:   16 Secondary Mathematics Tips
  959.    wt: 1:   15 Counting For Parents
  960.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  961.    wt: 1:   5 Patience Please for Yourself and Your Charges
  962.    wt: 1:   4 Learning Takes Time and Effort
  963.    wt: 1:   3 Preparing for Science Studies
  964.    wt: 1:   1 Speaking Skills
  965.    wt: 1:   Ages 9 to 10
  966.    wt: 1:   Ages 8 to 9
  967.    wt: 1:   Ages 7 to 8
  968.    wt: 1:   Ages 6 to 7
  969.    wt: 1:   Ages 4 plus to 5 plus
  970.    wt: 1:   Ages 3 plus to 4 plus
  971.    wt: 1:   016 Numbering Occidental Calendar Days
  972.    wt: 1:   014 Counting Days with Calendars
  973.    wt: 1:   013 Travel Time Tables
  974.    wt: 1:   010 Repeated Addition of Time Intervals
  975.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  976.    wt: 1:   8 Addition of Time Intervals via subtotaling
  977.    wt: 1:   7 Addition of Time Intervals
  978.    wt: 1:   6 How long is a million seconds
  979.    wt: 1:   5 Conversion Arithmetic
  980.    wt: 1:   4 Mixing and Changing Units of Time
  981.    wt: 1:   3 Units and Lengths of Time
  982.    wt: 1:   Example 1 volume of a pyramid
  983.    wt: 1:   Volume of Solid by Cross Sections Lesson
  984.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  985.    wt: 1:   Example 4 with x function of y
  986.    wt: 1:   Example 1
  987.    wt: 1:   Summary
  988.    wt: 1:   2 Indefinite Integrals Exercises
  989.    wt: 1:   1 Chain Rule in Reverse Integration Method
  990.    wt: 1:   2 Second derivative test prequel
  991.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  992.    wt: 1:   36 Cube root derivative animated
  993.    wt: 1:   34 Derivative of exponential function
  994.    wt: 1:   33 Chain Rule Real Player video examples
  995.    wt: 1:   31 Derivatives of inverse functions
  996.    wt: 1:   18 Chain Rule Introduction
  997.    wt: 1:   15 sine and cosine derivatives 3rd step
  998.    wt: 1:   13 sine and cosine derivatives 1st step
  999.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  1000.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  1001.    wt: 1:   7 Evaluation by immediate or delayed substitution
  1002.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  1003.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1004.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1005.    wt: 1:   F.5b Extreme Value Theorem
  1006.    wt: 1:   F.5a Equicontinuity Theorems
  1007.    wt: 1:   E1 Error Control Inequalities
  1008.    wt: 1:   D2 Limits of Monotone Sequences
  1009.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1010.    wt: 1:   PostScript For and Against Decimal Perspectives
  1011.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1012.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1013.    wt: 1:   Fall 1983 Calculus Appetizer
  1014.    wt: 1:   Annotated Links to Material Elsehwere
  1015.    wt: 1:   Postscript B Mathematics Education References
  1016.    wt: 1:   Chapter 10 Transition
  1017.    wt: 1:   Chapter 9 The Two Ends
  1018.    wt: 1:   Chapter 8 Modern Instruction
  1019.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1020.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1021.    wt: 1:   Chapter 5 Four References
  1022.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1023.    wt: 1:   Chapter 1 Introduction
  1024.    wt: 1:   Chapter 18 Sense and Knowledge
  1025.    wt: 1:   Chapter 15 Objective Processes
  1026.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  1027.    wt: 1:   Chapter 10 Responsibility
  1028.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1029.    wt: 1:   Chapter 8 Change of Language
  1030.    wt: 1:   Chapter 7 Longer Chains of Reason
  1031.    wt: 1:   Chapter 6 Chains of Reason
  1032.    wt: 1:   Chapter 5 Deception
  1033.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1034.    wt: 1:   Chapter 1 Introduction
  1035.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  1036.    wt: 1:   Chapter 3 Algebra Starter Lessons
  1037.    wt: 1:   Helping the Blind in Logic and Mathematics
  1038.    wt: 1:   Mathematics Education References
  1039.    wt: 1:   Mathematics Education References
  1040.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  1041.    wt: 1:   Implementation Notes
  1042.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1043.    wt: 1:   Which Way To Go
  1044.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1045.    wt: 1:   The Math Forum and Site Content
  1046.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  1047.    wt: 10:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1048.    wt: 10:   Chapter 8 Three Skills For Algebra

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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