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

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

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

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

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

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

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

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

Web Page Search

472 matches:

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

Extended Search

900 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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