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

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

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

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

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

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

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

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

Web Page Search

429 matches:

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

Extended Search

889 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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