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

427 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:   Chapter 25. Mathematical Induction Examples
  15.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  16.    wt: 2:   Skills Chapter 3 Algebra
  17.    wt: 2:   Skills Chapter 2 Geometry
  18.    wt: 2:   three goals to set for students
  19.    wt: 2:   geometric implications for algebra
  20.    wt: 2:   three goals for Mathematics Education
  21.    wt: 2:   02 20 mathematics education references
  22.    wt: 2:   three aims for mathematics students
  23.    wt: 2:   formal or informal peer review
  24.    wt: 2:   Prequel In For A Penny In For A Pound
  25.    wt: 2:   2 Conductance Resistance Duality02
  26.    wt: 2:   C Electromotive force conventional current02
  27.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  28.    wt: 2:   24 Standards For Skill Develoment Take II
  29.    wt: 2:   24 Standards For Skill Develoment
  30.    wt: 2:   22 Student Centered Highschool Mathematics
  31.    wt: 2:   12 Goals and Objectives For Mathematics
  32.    wt: 2:   2 Reading and Writing Skills
  33.    wt: 2:   Ages 12 to 14 Skills with take home value
  34.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  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:   22 Complex Compound Fractions
  70.    wt: 2:   21 Reciprocals for Fractions and Wholes
  71.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  72.    wt: 2:   26 Divisibility by 2 3 5 Example
  73.    wt: 2:   23 Remainder Arithmetic Modulo 2
  74.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  75.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  76.    wt: 2:   Long Division forwards and backwards Example 2
  77.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  78.    wt: 2:   9 22 Minute Subtraction Review Video
  79.    wt: 2:   38 Formulas and derivatives for powers and roots
  80.    wt: 2:   28 Chain Rule Preparation for a Proof
  81.    wt: 2:   21 Chain Rule for powers
  82.    wt: 2:   20 Chain Rule for Pulley Systems
  83.    wt: 2:   3 Motivation for Limit Definition Take 2
  84.    wt: 2:   2 Motivation for Limit Definition Take 1
  85.    wt: 2:   2 Algebraic codification
  86.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  87.    wt: 2:   E2 Algebraic Properties of Limits
  88.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  89.    wt: 2:   Chapter 22 Complex Numbers
  90.    wt: 2:   Postscript For Better Performance
  91.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  92.    wt: 2:   Chapter 23. Notation For Sums
  93.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  94.    wt: 2:   Chapter 18. Rules for Algebra
  95.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  96.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  97.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  98.    wt: 2:   Chapter 2 For and Against Mathematics
  99.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  100.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  101.    wt: 2:   G. Written work formats for developing and showing skill
  102.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  103.    wt: 1:   Appendix 2 primary school Arithmetic 01
  104.    wt: 1:   G LAMP Introduction Problem Solving Skills
  105.    wt: 1:   Skills Chapter 5 Calculus
  106.    wt: 1:   Skills Chapter 4 Logic
  107.    wt: 1:   Ramblings Introduction Algebra Essay
  108.    wt: 1:   Skills Chapter 1 Arithmetic
  109.    wt: 1:   Skills Chapter 0 Introduction
  110.    wt: 1:   4 algebra
  111.    wt: 1:   2 arithmetic with signed numbers
  112.    wt: 1:   permissions for teachers
  113.    wt: 1:   Applied Maths Program14092009 POMME variant
  114.    wt: 1:   activities for students
  115.    wt: 1:   Postscript 2007 01 10
  116.    wt: 1:   Education Reform Inconsistencies
  117.    wt: 1:   Secondary Three Mathematics
  118.    wt: 1:   talk the algebra talk
  119.    wt: 1:   three difficulties
  120.    wt: 1:   teaching tutoring algebraic reason
  121.    wt: 1:   Lessening Algebra Difficulties
  122.    wt: 1:   the trouble with algebra
  123.    wt: 1:   04 29 New Mathematics Curriculum
  124.    wt: 1:   04 25 when to stop or suspend mathemat
  125.    wt: 1:   standards for course material
  126.    wt: 1:   three kinds of reason in mathematics
  127.    wt: 1:   Four ways to improve education reform
  128.    wt: 1:   need for a mixed mathematics curriculum
  129.    wt: 1:   fairness and inductive principles for instruction
  130.    wt: 1:   words for mathematics instructor
  131.    wt: 1:   chapitre 12 00 les iles et division
  132.    wt: 1:   chapitre 07 01 principle D induction mathematique
  133.    wt: 1:   chapitre 04 02 Deuxieme enigme
  134.    wt: 1:   chapitre 02 00 La Communication des idees
  135.    wt: 1:   2 Energy Power Heat07
  136.    wt: 1:   B Energy Power02
  137.    wt: 1:   D Wire Resistance Calculation02
  138.    wt: 1:   B Wire Resistance Qualitative02
  139.    wt: 1:   2 Unlike resistors in parallel01
  140.    wt: 1:   H Series Circuit02
  141.    wt: 1:   B Electromotive force conventional current01
  142.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  143.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  144.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  145.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  146.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  147.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  148.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  149.    wt: 1:   17 Math Booklets for children and young teenagers
  150.    wt: 1:   15 Counting For Parents
  151.    wt: 1:   10 Ends values for work study instruction
  152.    wt: 1:   5 Patience Please for Yourself and Your Charges
  153.    wt: 1:   4 Learning Takes Time and Effort
  154.    wt: 1:   3 Preparing for Science Studies
  155.    wt: 1:   1 Speaking Skills
  156.    wt: 1:   Ages 12 to 14 Geometry
  157.    wt: 1:   Ages 12 to 14 Arithmetic
  158.    wt: 1:   Ages 10 to 12 Geometry
  159.    wt: 1:   Ages 10 to 12 Arithmetic
  160.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  161.    wt: 1:   sign monoticity analysis example 2
  162.    wt: 1:   26 Function definitions done and coming
  163.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  164.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  165.    wt: 1:   23 Inverse Functions
  166.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  167.    wt: 1:   20 Interchanging coordinates a reflection
  168.    wt: 1:   12 Function Domain Recognition Exercises
  169.    wt: 1:   6 Set Existence Formation and Notation
  170.    wt: 1:   3 Formula or function graphing exercise
  171.    wt: 1:   8 quadratics backward use of various formulas
  172.    wt: 1:   7 quadratic formulla derivation
  173.    wt: 1:   2 quadratics graphing in general
  174.    wt: 1:   2 Square Root Simplification a prequel
  175.    wt: 1:   8 Notes for instructors or tutors
  176.    wt: 1:   2 Column Multiplication Method
  177.    wt: 1:   Rewriting algebraic substitution as function substitutions
  178.    wt: 1:   9 motivation for name arcsin
  179.    wt: 1:   4 possible motivation for term arccos
  180.    wt: 1:   2 cosine function more properties
  181.    wt: 1:   2 Radian Measure Numerical Value of one degree
  182.    wt: 1:   12 From Applied To Pure Mathematics
  183.    wt: 1:   2 Signed Coordinates
  184.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  185.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  186.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  187.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  188.    wt: 1:   12 Straight Lines Graphing mx plus b
  189.    wt: 1:   8 Straight Lines Equation for vertical
  190.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  191.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  192.    wt: 1:   17 tangent function angle sum formulas
  193.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  194.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  195.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  196.    wt: 1:   32 seven rows of pascals triangle
  197.    wt: 1:   28 Expressing products of sines cosines as sums
  198.    wt: 1:   27 Logarithmic use of products of sines and cosines
  199.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  200.    wt: 1:   17C sine and cosine double triple angle formulas
  201.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  202.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  203.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  204.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  205.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  206.    wt: 1:   2 Quadrant I reference Angles
  207.    wt: 1:   21 Logarithms Powers and Exponentials
  208.    wt: 1:   20 N th Roots of Complex Numbers
  209.    wt: 1:   11 sine and cosine double triple angle formulas
  210.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  211.    wt: 1:   2 Complex Numbers made easier we hope
  212.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  213.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  214.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  215.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  216.    wt: 1:   12 Triangles Similarity More Problems
  217.    wt: 1:   2 Similarity By Design
  218.    wt: 1:   12 Links Lessons elsewhere
  219.    wt: 1:   8 Mid Point Formula
  220.    wt: 1:   5 Algebraic View of Slopes
  221.    wt: 1:   3 Slope product for perpendicular lines
  222.    wt: 1:   13 Pythagorean spatial distance formulas
  223.    wt: 1:   12 Spatial Coordinates
  224.    wt: 1:   10 Pythagorean plane distance formula
  225.    wt: 1:   2 Cartesian Coordinates with signs
  226.    wt: 1:   PS H Distributive Law For Complex Numbers
  227.    wt: 1:   21 Parallelograms
  228.    wt: 1:   12 Side Angle Side Failure
  229.    wt: 1:   2 Correspondence between Triangles
  230.    wt: 1:   2 Measuring Area Directly
  231.    wt: 1:   26 More Less Greater Than Comparison
  232.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  233.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  234.    wt: 1:   23 Distributive Law Two Derivations
  235.    wt: 1:   21 Addition of Multiples of a Single Vector
  236.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  237.    wt: 1:   12 Real Numbers Line Signed Coordinates
  238.    wt: 1:   2 Counting Digits in Decimal Multiplication
  239.    wt: 1:   C Three Decimal Subtraction Methods
  240.    wt: 1:   6 Column Methods for Decimal Multiplication
  241.    wt: 1:   5 Distributive Law for Whole Numbers
  242.    wt: 1:   4 Commutative Law Groups Counting Form
  243.    wt: 1:   3 Multiplicative Counting Skills Principles
  244.    wt: 1:   3 Inequalities Algebraically
  245.    wt: 1:   2 Fraction Operations Physical Development
  246.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  247.    wt: 1:   6 Compound Interest Forward and Backwards
  248.    wt: 1:   5 Triangle Area Formula Backwards
  249.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  250.    wt: 1:   2 Linear Equation Literal Solution
  251.    wt: 1:   5 Equality in Algebra
  252.    wt: 1:   3 Product Axioms Two Forms
  253.    wt: 1:   2 Addition and Multiplication Axioms
  254.    wt: 1:   12 Real Number Additive Inverses or Negatives
  255.    wt: 1:   9 Coordinates for Regions in Space
  256.    wt: 1:   8 Coordinates for Maps and Planes
  257.    wt: 1:   2 Integers
  258.    wt: 1:   3 Geometric Formulas and Function Notation
  259.    wt: 1:   2 Computation Rules Evaluation
  260.    wt: 1:   1 Formulas Dependence and Function Notation
  261.    wt: 1:   2 GE II Comparison
  262.    wt: 1:   6 Algebraic Solution Example
  263.    wt: 1:   5 Algebraic Solutions Introduction
  264.    wt: 1:   9 Three Examples
  265.    wt: 1:   6 Three Examples
  266.    wt: 1:   5 Three Examples
  267.    wt: 1:   Using Letters for Physical Quantities
  268.    wt: 1:   13 Naming Identifying Formulas with Words
  269.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  270.    wt: 1:   8 Compound Interest Formula Evaluation
  271.    wt: 1:   7 Compound Interest Formula Introduction
  272.    wt: 1:   5 Box Volume Formula Example
  273.    wt: 1:   4 Circle Area Formula Example
  274.    wt: 1:   3 Triangle Area Formula Example
  275.    wt: 1:   2 Venn Diagrams
  276.    wt: 1:   6 Three Notions of What is a Variable
  277.    wt: 1:   4 A Brief Story of numbers and algebra
  278.    wt: 1:   2 What is a Variable
  279.    wt: 1:   arithmetic videos Real Player Format
  280.    wt: 1:   2 More and Less Than with Unlike Signs
  281.    wt: 1:   1 More and Less Than for Counts and Measures
  282.    wt: 1:   2 Square Roots with Prime
  283.    wt: 1:   2 Least Common Multiple LCM intro via list method
  284.    wt: 1:   2 Counting with Tables and Trees I
  285.    wt: 1:   4 signed coordinates for regions in space
  286.    wt: 1:   3 signed coordinates for maps and planes
  287.    wt: 1:   2 signed and unsigned numbers as coordinates
  288.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  289.    wt: 1:   2 Equality and Units
  290.    wt: 1:   D Three Term Ratios
  291.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  292.    wt: 1:   21 Working With Signs
  293.    wt: 1:   20 Dividing Fractions the Why
  294.    wt: 1:   13 Fraction Comparison Algebraic View
  295.    wt: 1:   12 Fraction Comparison
  296.    wt: 1:   11 Simplification an Algebraic View
  297.    wt: 1:   6 Multiplication Algebraically Take II
  298.    wt: 1:   2 Unit Fraction Multiplication
  299.    wt: 1:   12 Adding Integers More Examples
  300.    wt: 1:   11 Adding Integers Formulas and Examples
  301.    wt: 1:   10 Integer Multiplication Formulas
  302.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  303.    wt: 1:   21 Remainder Arithmetic Modulo 3
  304.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  305.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  306.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  307.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  308.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  309.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  310.    wt: 1:   20 Uniqueness of Prime Factorization
  311.    wt: 1:   15 video Factors of 20 using Prime Factorization
  312.    wt: 1:   14 video Factors of 24 Take II
  313.    wt: 1:   13 video Factors of 24 using prime
  314.    wt: 1:   12 LCD GCD and LCM using Primes
  315.    wt: 1:   10 video Prime Factorization upto 23 squared
  316.    wt: 1:   2 Prime and Composites less than 16
  317.    wt: 1:   Long Division forwards and backwards Example 3
  318.    wt: 1:   Long Division forwards and backwards Example 1
  319.    wt: 1:   12 Why Long Division Works Take III
  320.    wt: 1:   4 Division with 2 Digit Divsors
  321.    wt: 1:   2 Division with Single Digit Divisors
  322.    wt: 1:   A Elementary Basis for Multiplication Methods
  323.    wt: 1:   4 Two and Three Digit Multipliers
  324.    wt: 1:   2 One Digit Multipliers
  325.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  326.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  327.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  328.    wt: 1:   5 A Tip for Efficent Subtraction
  329.    wt: 1:   2 Subtraction Easy Case Examples
  330.    wt: 1:   8 What skills and work habits to require
  331.    wt: 1:   2 Decimal Counting Practices
  332.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  333.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  334.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  335.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  336.    wt: 1:   Quick history of numbers and algebra
  337.    wt: 1:   Formula Evaluation how to show work
  338.    wt: 1:   The 20 Times Table
  339.    wt: 1:   The 12 Times Table Visually
  340.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  341.    wt: 1:   012 Division of Time Intervals by Time Intervals
  342.    wt: 1:   2 Time and Date Matters in School
  343.    wt: 1:   1 Intro of Kids To Time Date Skills
  344.    wt: 1:   Example 2 volume of a cone
  345.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  346.    wt: 1:   Example 2
  347.    wt: 1:   Area Between Curves Lesson Take 2
  348.    wt: 1:   2 Indefinite Integrals Exercises
  349.    wt: 1:   2 Second derivative test prequel
  350.    wt: 1:   29 Chain Rule Optional Reading
  351.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  352.    wt: 1:   26 Chain Rule Recognising outer inner functions
  353.    wt: 1:   25 Chain Rule Animated Examples Continued
  354.    wt: 1:   24 Chain Rule Animated Examples
  355.    wt: 1:   23 Chain Rule in general
  356.    wt: 1:   19 Chain Rule for linear functions
  357.    wt: 1:   14 sine and cosine derivatives 2nd step
  358.    wt: 1:   12 Quotient rule examples
  359.    wt: 1:   10 Power rule for negative integers
  360.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  361.    wt: 1:   11 Limits at infinity Three Examples
  362.    wt: 1:   10 Three one sided limits with infinite values
  363.    wt: 1:   3 Decimal insights for limits continuity convergence
  364.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  365.    wt: 1:   F.2 Closed Range Theorem
  366.    wt: 1:   D2 Limits of Monotone Sequences
  367.    wt: 1:   PostScript For and Against Decimal Perspectives
  368.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  369.    wt: 1:   Chapter 23 Links To Trigonometry
  370.    wt: 1:   Chapter 21 Arrow Addition
  371.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  372.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  373.    wt: 1:   Chapter 12. Units and Slopes
  374.    wt: 1:   Chapter 2. Slopes and Ski Trails
  375.    wt: 1:   Foreword
  376.    wt: 1:   Postscript More on Better Performance
  377.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  378.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  379.    wt: 1:   Chapter 28 Occurrence Tables
  380.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  381.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  382.    wt: 1:   Chapter 21. Third Reading Guide
  383.    wt: 1:   Chapter 20. Degrees and Radians
  384.    wt: 1:   Chapter 12. Shorthand Usage Guide
  385.    wt: 1:   Solutions For Arithmetic Exercises
  386.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  387.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  388.    wt: 1:   Foreword
  389.    wt: 1:   Postscript A Three Remarks
  390.    wt: 1:   Chapter 12 Four Phases
  391.    wt: 1:   Chapter 3 Algebra Difficulties
  392.    wt: 1:   Foreword
  393.    wt: 1:   Postscript C Consistency as a Tool for Reason
  394.    wt: 1:   Chapter 24 Direct and Indirect Reason
  395.    wt: 1:   Chapter 23 Truth Tables
  396.    wt: 1:   Chapter 21 Occurrence Tables
  397.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  398.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  399.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  400.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  401.    wt: 1:   Chapter 2 Skill Development
  402.    wt: 1:   Three Remarks
  403.    wt: 1:   Foreword
  404.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  405.    wt: 1:   S Adding words to algebra
  406.    wt: 1:   R Why Learn Mathematics Skills
  407.    wt: 1:   N Mathematics Prepare for College Studies
  408.    wt: 1:   L Skills with take home value
  409.    wt: 1:   I. Logic and language skills
  410.    wt: 1:   How to Build Skills and Confidence
  411.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  412.    wt: 1:   Chapter 6 More Algebra and Geometry
  413.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  414.    wt: 1:   Chapter 3 Algebra Starter Lessons
  415.    wt: 1:   Chapter 2 Why Sets
  416.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  417.    wt: 1:   7 Games and Activities for Instruction
  418.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  419.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  420.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  421.    wt: 1:   More Algebra and Slope based Calculus Preview
  422.    wt: 1:   Systematic Algebra Skill Development Missing Links
  423.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  424.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  425.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  426.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  427.    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 24. Personal Investment and Pension EGS
  10.    wt: 8:   Chapter 21. Third Reading Guide
  11.    wt: 8:   Chapter 20. Degrees and Radians
  12.    wt: 8:   Chapter 18. Rules for Algebra
  13.    wt: 8:   Chapter 14. Forward and Backward Use of a Formula
  14.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  15.    wt: 8:   Chapter 12. Shorthand Usage Guide
  16.    wt: 7:   6 Algebraic Solution Example
  17.    wt: 7:   5 Algebraic Solutions Introduction
  18.    wt: 7:   2 Another Rectangle Area Formula Example
  19.    wt: 7:   1 Written work formats for developing and showing skill
  20.    wt: 7:   Postscript More on Better Performance
  21.    wt: 7:   Appendix B. How To Learn
  22.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  23.    wt: 7:   Solutions For Arithmetic Exercises
  24.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  25.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  26.    wt: 7:   Foreword
  27.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  28.    wt: 6:   2 Algebraic View
  29.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  30.    wt: 6:   2 Essentially one exercises three with solution
  31.    wt: 6:   4 Four Examples Fractional Coefficients
  32.    wt: 6:   3 Four Examples
  33.    wt: 6:   1 Proper Equal Sign Usage
  34.    wt: 6:   13 Naming Identifying Formulas with Words
  35.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  36.    wt: 6:   8 Compound Interest Formula Evaluation
  37.    wt: 6:   7 Compound Interest Formula Introduction
  38.    wt: 6:   5 Box Volume Formula Example
  39.    wt: 6:   4 Circle Area Formula Example
  40.    wt: 6:   3 Triangle Area Formula Example
  41.    wt: 6:   1 Three Skills For Algebra
  42.    wt: 6:   Long Division forwards and backwards Example 2
  43.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  44.    wt: 6:   9 22 Minute Subtraction Review Video
  45.    wt: 6:   2 Subtraction Easy Case Examples
  46.    wt: 6:   Appendix E. How To Study Mathematics and Why
  47.    wt: 6:   Appendix D. What to do in School and Why
  48.    wt: 6:   Appendix C. How to Read
  49.    wt: 6:   Chapter 31 Direct and Indirect Reason
  50.    wt: 6:   Chapter 30 Truth Tables
  51.    wt: 6:   Chapter 19. Functions and Sets
  52.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  53.    wt: 6:   Chapter 16. Painless Theorem Proving
  54.    wt: 6:   Chapter 15. Solving Linear Equations
  55.    wt: 6:   Chapter 13. Second Reading Guide
  56.    wt: 6:   Chapter 11. Why Shorthand
  57.    wt: 6:   Chapter 10 Describing and Changing Calculations
  58.    wt: 6:   Postscript What is a Variable
  59.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  60.    wt: 6:   Chapter 6 Change of Language
  61.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  62.    wt: 6:   Chapter 4 Longer Chains of Reason
  63.    wt: 6:   Chapter 3 Chains of Reason
  64.    wt: 5:   22 Square Root function graphically
  65.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  66.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  67.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  68.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  69.    wt: 5:   2 Square Root Simplification a prequel
  70.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  71.    wt: 5:   2 Combing Counts Addition Skills and Principles
  72.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  73.    wt: 5:   6 Compound Interest Forward and Backwards
  74.    wt: 5:   5 Triangle Area Formula Backwards
  75.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  76.    wt: 5:   2 Linear Equation Literal Solution
  77.    wt: 5:   2 Three Examples
  78.    wt: 5:   11 Volume of Sphere
  79.    wt: 5:   10 Volume of Pyramid
  80.    wt: 5:   9 Volume of Cone
  81.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  82.    wt: 5:   2 More and Less Than with Unlike Signs
  83.    wt: 5:   Long Division forwards and backwards Example 3
  84.    wt: 5:   12 Why Long Division Works Take III
  85.    wt: 5:   2 Division with Single Digit Divisors
  86.    wt: 5:   2 One Digit Multipliers
  87.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  88.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  89.    wt: 5:   Video Power Notation in Decimal Expansion
  90.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  91.    wt: 5:   5 A Tip for Efficent Subtraction
  92.    wt: 5:   2 Decimal Counting Practices
  93.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  94.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  95.    wt: 4:   three goals for Mathematics Education
  96.    wt: 4:   02 21 words for teachers
  97.    wt: 4:   22 Student Centered Highschool Mathematics
  98.    wt: 4:   Ages 12 to 14 Skills with take home value
  99.    wt: 4:   2 Algebraic use of function notation
  100.    wt: 4:   26 Formulas for products of sines and cosines
  101.    wt: 4:   12 cis formulas for sine cosines and tangent
  102.    wt: 4:   PS H Distributive Law For Complex Numbers
  103.    wt: 4:   PS B Parallelogram Construction Methods
  104.    wt: 4:   21 Parallelograms
  105.    wt: 4:   12 Side Angle Side Failure
  106.    wt: 4:   2 Correspondence between Triangles
  107.    wt: 4:   22 Multiplication of Signed Numbers
  108.    wt: 4:   21 Addition of Multiples of a Single Vector
  109.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  110.    wt: 4:   12 Real Numbers Line Signed Coordinates
  111.    wt: 4:   3 Inequalities Algebraically
  112.    wt: 4:   2 Fraction Operations Physical Development
  113.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  114.    wt: 4:   3 Linear Equation Literal Solution More
  115.    wt: 4:   1 Changing Calculations
  116.    wt: 4:   2 More and Less Than for Counts and Measures
  117.    wt: 4:   12 Real Number Additive Inverses or Negatives
  118.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  119.    wt: 4:   2 GE II Comparison
  120.    wt: 4:   Formula Usage Show Work Format
  121.    wt: 4:   1 More and Less Than for Counts and Measures
  122.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  123.    wt: 4:   12 GCD 2700 288 via Prime
  124.    wt: 4:   22 Complex Compound Fractions
  125.    wt: 4:   21 Reciprocals for Fractions and Wholes
  126.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  127.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  128.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  129.    wt: 4:   20 Uniqueness of Prime Factorization
  130.    wt: 4:   12 LCD GCD and LCM using Primes
  131.    wt: 4:   2 Prime and Composites less than 16
  132.    wt: 4:   Long Division Backwards more
  133.    wt: 4:   Long Division Backward
  134.    wt: 4:   Long Division forwards and backwards Example 1
  135.    wt: 4:   4 Division with 2 Digit Divsors
  136.    wt: 4:   A Elementary Basis for Multiplication Methods
  137.    wt: 4:   4 Two and Three Digit Multipliers
  138.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  139.    wt: 4:   Subtraction with J Conversions Example
  140.    wt: 4:   Subtraction Another Video Lesson
  141.    wt: 4:   8 Subtraction with Units of Measure
  142.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  143.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  144.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  145.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  146.    wt: 4:   8 What skills and work habits to require
  147.    wt: 4:   22 Chain Rule for polynomials
  148.    wt: 4:   21 Chain Rule for powers
  149.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  150.    wt: 4:   Chapter 22 Complex Numbers
  151.    wt: 4:   Chapter 2 For and Against Mathematics
  152.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  153.    wt: 3:   Skills Chapter 2 Geometry
  154.    wt: 3:   2 arithmetic with signed numbers
  155.    wt: 3:   geometric implications for algebra
  156.    wt: 3:   Lessening Algebra Difficulties
  157.    wt: 3:   the trouble with algebra
  158.    wt: 3:   02 20 mathematics education references
  159.    wt: 3:   three aims for mathematics students
  160.    wt: 3:   Prequel In For A Penny In For A Pound
  161.    wt: 3:   B Energy Power02
  162.    wt: 3:   2 Conductance Resistance Duality02
  163.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  164.    wt: 3:   24 Standards For Skill Develoment Take II
  165.    wt: 3:   24 Standards For Skill Develoment
  166.    wt: 3:   12 Goals and Objectives For Mathematics
  167.    wt: 3:   2 Reading and Writing Skills
  168.    wt: 3:   Ages 12 to 14 Geometry
  169.    wt: 3:   Ages 12 to 14 Arithmetic
  170.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  171.    wt: 3:   sign monoticity analysis example 2
  172.    wt: 3:   26 Function definitions done and coming
  173.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  174.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  175.    wt: 3:   23 Inverse Functions
  176.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  177.    wt: 3:   20 Interchanging coordinates a reflection
  178.    wt: 3:   12 Function Domain Recognition Exercises
  179.    wt: 3:   5 Function notation for geometric transformations
  180.    wt: 3:   11 Growth and Decay in Biology
  181.    wt: 3:   10 Exponential Growth and Decay Models
  182.    wt: 3:   5 Natural Logarithm Calculator Exercises
  183.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  184.    wt: 3:   1 Calculator Starter Exercises
  185.    wt: 3:   12 motivation for term arctan
  186.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  187.    wt: 3:   8 Straight Lines Equation for vertical
  188.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  189.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  190.    wt: 3:   29 secant cosecant and cotangent for acute angles
  191.    wt: 3:   25 tangent double angle formula Slope connection
  192.    wt: 3:   24 tangent Angle Difference Formula
  193.    wt: 3:   21 sine and cosine Half Angle Formulas
  194.    wt: 3:   4 Equations for lines three forms
  195.    wt: 3:   2 point slope equation for a line
  196.    wt: 3:   PS G Rotation Distributes over Addition
  197.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  198.    wt: 3:   PS E Multiplication with Polar Coordinates
  199.    wt: 3:   PS D Addition with Cartesian Coordinates
  200.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  201.    wt: 3:   PS A Kite Construction Methods
  202.    wt: 3:   26 More Less Greater Than Comparison
  203.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  204.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  205.    wt: 3:   23 Distributive Law Two Derivations
  206.    wt: 3:   19 Signed Multiples of Vectors
  207.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  208.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  209.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  210.    wt: 3:   15 Head to Tails in place Addition Associative
  211.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  212.    wt: 3:   13 Arrows and Vectors in a Plane
  213.    wt: 3:   11 Signed Number Addition and Addition Properties
  214.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  215.    wt: 3:   2 Counting Digits in Decimal Multiplication
  216.    wt: 3:   C Three Decimal Subtraction Methods
  217.    wt: 3:   6 Column Methods for Decimal Multiplication
  218.    wt: 3:   5 Distributive Law for Whole Numbers
  219.    wt: 3:   4 Commutative Law Groups Counting Form
  220.    wt: 3:   3 Multiplicative Counting Skills Principles
  221.    wt: 3:   5 Areas of Rectangles Revisited
  222.    wt: 3:   4 Fraction Operations Axiomatic Development
  223.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  224.    wt: 3:   5 Proportionality in Equivalent Fractions
  225.    wt: 3:   4 Rates Ratios and Proporitionality
  226.    wt: 3:   3 Proportionality Examples
  227.    wt: 3:   1 What is Proportionality
  228.    wt: 3:   5 Equality in Algebra
  229.    wt: 3:   3 Product Axioms Two Forms
  230.    wt: 3:   2 Addition and Multiplication Axioms
  231.    wt: 3:   16 Real Numbers Comparison
  232.    wt: 3:   15 Real Number Division
  233.    wt: 3:   14 Real Number Multiplication
  234.    wt: 3:   13 Real Number Subtraction
  235.    wt: 3:   11 Real Number Addition
  236.    wt: 3:   10 Real Number Lengths and Signs
  237.    wt: 3:   9 Coordinates for Regions in Space
  238.    wt: 3:   8 Coordinates for Maps and Planes
  239.    wt: 3:   2 Integers
  240.    wt: 3:   3 Geometric Formulas and Function Notation
  241.    wt: 3:   2 Computation Rules Evaluation
  242.    wt: 3:   1 Formulas Dependence and Function Notation
  243.    wt: 3:   4 Solving a triangular system exercise
  244.    wt: 3:   3 Solving triangular system example
  245.    wt: 3:   1 Essentially One Unknown
  246.    wt: 3:   9 Three Examples
  247.    wt: 3:   6 Three Examples
  248.    wt: 3:   5 Three Examples
  249.    wt: 3:   Using Letters for Physical Quantities
  250.    wt: 3:   2 Venn Diagrams
  251.    wt: 3:   6 Three Notions of What is a Variable
  252.    wt: 3:   4 A Brief Story of numbers and algebra
  253.    wt: 3:   2 What is a Variable
  254.    wt: 3:   4 Greater More Less Than Signs in General
  255.    wt: 3:   3 Comparison of Negative Numbers
  256.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  257.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  258.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  259.    wt: 3:   3 signed coordinates for maps and planes
  260.    wt: 3:   2 signed and unsigned numbers as coordinates
  261.    wt: 3:   21 Working With Signs
  262.    wt: 3:   20 Dividing Fractions the Why
  263.    wt: 3:   2 Unit Fraction Multiplication
  264.    wt: 3:   12 Adding Integers More Examples
  265.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  266.    wt: 3:   26 Divisibility by 2 3 5 Example
  267.    wt: 3:   23 Remainder Arithmetic Modulo 2
  268.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  269.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  270.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  271.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  272.    wt: 3:   15 video Factors of 20 using Prime Factorization
  273.    wt: 3:   14 video Factors of 24 Take II
  274.    wt: 3:   13 video Factors of 24 using prime
  275.    wt: 3:   10 video Prime Factorization upto 23 squared
  276.    wt: 3:   Division with Counts and Length
  277.    wt: 3:   11 Another Single Digit Divisor Example
  278.    wt: 3:   10 Division by Five Long and Short Ways
  279.    wt: 3:   9 Why Long Division Works Take II
  280.    wt: 3:   8 Correcting the Mistake
  281.    wt: 3:   7 Long Divison Mistake Catching
  282.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  283.    wt: 3:   5 Long Division Include Zeroes or not
  284.    wt: 3:   3 Division Single Digit Divisor Example
  285.    wt: 3:   1 Divsion Physical Examples
  286.    wt: 3:   D Decimal Multiplication Methods Derived
  287.    wt: 3:   C Counting Areas with Powers of Ten
  288.    wt: 3:   B Powers of Ten
  289.    wt: 3:   6 Multiplication Commutes Order Not Important
  290.    wt: 3:   5 Decimal Fraction Multiplication
  291.    wt: 3:   3 More One Digit Multipliers
  292.    wt: 3:   1 Why 3 times 5 gives 15
  293.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  294.    wt: 3:   7 Adding decimal fractions using decimal point
  295.    wt: 3:   6. Counting and adding units and mixed units
  296.    wt: 3:   5. How to add decimals C. Examples
  297.    wt: 3:   4. How to add with decimals B with conversions
  298.    wt: 3:   3. How to add with decimals A sans conversions
  299.    wt: 3:   1. Explaining Addition Table
  300.    wt: 3:   The 20 Times Table
  301.    wt: 3:   38 Formulas and derivatives for powers and roots
  302.    wt: 3:   28 Chain Rule Preparation for a Proof
  303.    wt: 3:   20 Chain Rule for Pulley Systems
  304.    wt: 3:   10 Power rule for negative integers
  305.    wt: 3:   4 Sum Rule
  306.    wt: 3:   3 Motivation for Limit Definition Take 2
  307.    wt: 3:   2 Motivation for Limit Definition Take 1
  308.    wt: 3:   2 Algebraic codification
  309.    wt: 3:   Chapter 12 Four Phases
  310.    wt: 3:   Postscript C Consistency as a Tool for Reason
  311.    wt: 3:   Chapter 24 Direct and Indirect Reason
  312.    wt: 3:   Chapter 23 Truth Tables
  313.    wt: 3:   Chapter 21 Occurrence Tables
  314.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  315.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  316.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  317.    wt: 3:   Chapter 2 Skill Development
  318.    wt: 3:   Three Remarks
  319.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  320.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  321.    wt: 2:   Skills Chapter 3 Algebra
  322.    wt: 2:   4 algebra
  323.    wt: 2:   three goals to set for students
  324.    wt: 2:   Applied Maths Program14092009 POMME variant
  325.    wt: 2:   Secondary Three Mathematics
  326.    wt: 2:   talk the algebra talk
  327.    wt: 2:   three difficulties
  328.    wt: 2:   teaching tutoring algebraic reason
  329.    wt: 2:   04 29 New Mathematics Curriculum
  330.    wt: 2:   04 25 when to stop or suspend mathemat
  331.    wt: 2:   formal or informal peer review
  332.    wt: 2:   three kinds of reason in mathematics
  333.    wt: 2:   fairness and inductive principles for instruction
  334.    wt: 2:   2 Energy Power Heat07
  335.    wt: 2:   C Electromotive force conventional current02
  336.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  337.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  338.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  339.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  340.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  341.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  342.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  343.    wt: 2:   Ages 10 to 12 Geometry
  344.    wt: 2:   Ages 10 to 12 Arithmetic
  345.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  346.    wt: 2:   6 Set Existence Formation and Notation
  347.    wt: 2:   3 Formula or function graphing exercise
  348.    wt: 2:   8 quadratics backward use of various formulas
  349.    wt: 2:   7 quadratic formulla derivation
  350.    wt: 2:   2 quadratics graphing in general
  351.    wt: 2:   8 Notes for instructors or tutors
  352.    wt: 2:   2 Column Multiplication Method
  353.    wt: 2:   Rewriting algebraic substitution as function substitutions
  354.    wt: 2:   12 From Applied To Pure Mathematics
  355.    wt: 2:   2 Signed Coordinates
  356.    wt: 2:   4 graphing y=Asin(x c)
  357.    wt: 2:   3 graphing y=f(x c) plus K
  358.    wt: 2:   1 graphing y=f(x a)
  359.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  360.    wt: 2:   C Straight Lines Slope from Coordinates
  361.    wt: 2:   B Straight Line Slope Scaling Properties More
  362.    wt: 2:   A Straight Line Slope Scaling Properties
  363.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  364.    wt: 2:   12 Straight Lines Graphing mx plus b
  365.    wt: 2:   11 Straight Lines Graphing y=mx
  366.    wt: 2:   7 Tangent Function is odd on this domain
  367.    wt: 2:   5 Tangent Function Graph
  368.    wt: 2:   4 Tangent Function Properties
  369.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  370.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  371.    wt: 2:   28 Expressing products of sines cosines as sums
  372.    wt: 2:   27 Logarithmic use of products of sines and cosines
  373.    wt: 2:   20 sine and cosine Double Angle Formulas
  374.    wt: 2:   17E Trig Formulas for dot and cross Products
  375.    wt: 2:   17D cis formulas for sine cosines and tangent
  376.    wt: 2:   12 Graph of tangent function for one period
  377.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  378.    wt: 2:   21 Logarithms Powers and Exponentials
  379.    wt: 2:   20 N th Roots of Complex Numbers
  380.    wt: 2:   13 Trig Formulas for dot and cross Products
  381.    wt: 2:   2 Complex Numbers made easier we hope
  382.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  383.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  384.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  385.    wt: 2:   12 Triangles Similarity More Problems
  386.    wt: 2:   2 Similarity By Design
  387.    wt: 2:   12 Links Lessons elsewhere
  388.    wt: 2:   12 Spatial Coordinates
  389.    wt: 2:   2 Cartesian Coordinates with signs
  390.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  391.    wt: 2:   19 Right Triangle Similarity
  392.    wt: 2:   18 Triangle Similarity Take 1
  393.    wt: 2:   17 Right Bisectors of Triangle Sides
  394.    wt: 2:   16 Angles Subtended By Chords and Diameters
  395.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  396.    wt: 2:   14 Parallel Lines Postulate
  397.    wt: 2:   13 Angle Side Angle Failure
  398.    wt: 2:   11 Triangle Construction Fails
  399.    wt: 2:   10 Dropping a perpendicular to line
  400.    wt: 2:   9 Construction of a right bisector
  401.    wt: 2:   8 Isoceles Triangles
  402.    wt: 2:   7 Angle Side Angle
  403.    wt: 2:   6 Ruler and compass Angle Bisection
  404.    wt: 2:   5 Side Angle Side
  405.    wt: 2:   4 Side Side Side
  406.    wt: 2:   3 Isometry of Triangles Congruence
  407.    wt: 2:   1 Initial Concepts and Terms
  408.    wt: 2:   Short Course on Euclidean Geometry
  409.    wt: 2:   musings do not puiblish real numbers
  410.    wt: 2:   A Modular and Remainder Arithmetic
  411.    wt: 2:   A Signed Number Arithmetic Review
  412.    wt: 2:   9 Division with Digits after Decimal Point
  413.    wt: 2:   8 Division and Mulplication of Compound Fractions
  414.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  415.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  416.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  417.    wt: 2:   4 Location of Point in Decimal Addition
  418.    wt: 2:   3 Location of Point in Decimal Multiplication
  419.    wt: 2:   1 Fractions with Finite Decimal Expansions
  420.    wt: 2:   E Long Division Methods more
  421.    wt: 2:   D Long Division Methods
  422.    wt: 2:   B Decimal Comparison and Subtraction
  423.    wt: 2:   A Decimal Addition Columm Methods
  424.    wt: 2:   8 Column Multiplication Methods in General
  425.    wt: 2:   7 Decimals Multiplication Methods Examples
  426.    wt: 2:   1 The Counting Origins of Numbers
  427.    wt: 2:   6 Equations and Systems Equivalent or Implied
  428.    wt: 2:   4 Subtraction and Division Axioms
  429.    wt: 2:   1 Equivalent Computation Rules
  430.    wt: 2:   5 Greater More Less Than Signs in General
  431.    wt: 2:   4 Comparison of Negative Numbers
  432.    wt: 2:   3 More and Less Than with Unlike Signs
  433.    wt: 2:   1 Real Numbers Comparison
  434.    wt: 2:   7 Real Numbers as Line Cordinates
  435.    wt: 2:   6 Unsigned Real Numbers
  436.    wt: 2:   5 Rational Numbers More
  437.    wt: 2:   4 Rational Numbers
  438.    wt: 2:   3 Fractions
  439.    wt: 2:   1 Whole and Natural Numbers
  440.    wt: 2:   5 Independent versus Dependent Variables
  441.    wt: 2:   4 Changing Letters
  442.    wt: 2:   More Exercises
  443.    wt: 2:   Simple Exercises
  444.    wt: 2:   4 GE III Animated Examples
  445.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  446.    wt: 2:   3 GE III Equation Addition and Multiplication
  447.    wt: 2:   1 GE Substitution four examples
  448.    wt: 2:   Skill Development Notes
  449.    wt: 2:   10 One Example
  450.    wt: 2:   8 One Example
  451.    wt: 2:   7 Two Examples
  452.    wt: 2:   4 Two Examples
  453.    wt: 2:   3 Two Examples
  454.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  455.    wt: 2:   9 Sets in Probability and Statistics
  456.    wt: 2:   8 Sets of Numbers
  457.    wt: 2:   7 Cautious or Safe Set Construction
  458.    wt: 2:   6 Power Set Notation
  459.    wt: 2:   5 Product Builder Notation
  460.    wt: 2:   4 Subset Builder Notation
  461.    wt: 2:   3 Counting with Sets etc
  462.    wt: 2:   1 Finite Sets
  463.    wt: 2:   5 Talking about Numbers and Quantities
  464.    wt: 2:   3 Adding Words To Arithmetic
  465.    wt: 2:   About Folder Contents
  466.    wt: 2:   arithmetic videos Real Player Format
  467.    wt: 2:   2 Square Roots with Prime
  468.    wt: 2:   8 GCD from Euclidean Algorithm
  469.    wt: 2:   2 Least Common Multiple LCM intro via list method
  470.    wt: 2:   2 Counting with Tables and Trees I
  471.    wt: 2:   4 signed coordinates for regions in space
  472.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  473.    wt: 2:   2 Equality and Units
  474.    wt: 2:   D Three Term Ratios
  475.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  476.    wt: 2:   19 Dividing Fractions How TO
  477.    wt: 2:   13 Fraction Comparison Algebraic View
  478.    wt: 2:   12 Fraction Comparison
  479.    wt: 2:   11 Simplification an Algebraic View
  480.    wt: 2:   6 Multiplication Algebraically Take II
  481.    wt: 2:   13 Subtraction with Additive Inverse
  482.    wt: 2:   11 Adding Integers Formulas and Examples
  483.    wt: 2:   10 Integer Multiplication Formulas
  484.    wt: 2:   21 Remainder Arithmetic Modulo 3
  485.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  486.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  487.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  488.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  489.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  490.    wt: 2:   5 Remainder Arithmetic Modulo 5
  491.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  492.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  493.    wt: 2:   1 Remainder Arithmetic Modulo 10
  494.    wt: 2:   19 video Prime Factorization Unique
  495.    wt: 2:   18 video Count Factors given Prime Factorization
  496.    wt: 2:   17 Identify and Count Factors using Primes
  497.    wt: 2:   16 video Factors of 980 using prime
  498.    wt: 2:   11 Efficient Square Rule Use
  499.    wt: 2:   9 video Prime Factorization upto 19 squared
  500.    wt: 2:   8 video Prime Factorization upto 19
  501.    wt: 2:   7 Calculator Usage Notes and Cautions
  502.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  503.    wt: 2:   5 Prime Factorization and a Square Rule
  504.    wt: 2:   4 video Prime Factorization Introduction
  505.    wt: 2:   3 video Primes and Composites from 9 times table
  506.    wt: 2:   1 video how Products are bigger than factor
  507.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  508.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  509.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  510.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  511.    wt: 2:   Quick history of numbers and algebra
  512.    wt: 2:   Formula Evaluation how to show work
  513.    wt: 2:   The 12 Times Table Visually
  514.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  515.    wt: 2:   012 Division of Time Intervals by Time Intervals
  516.    wt: 2:   2 Time and Date Matters in School
  517.    wt: 2:   1 Intro of Kids To Time Date Skills
  518.    wt: 2:   Example 2 volume of a cone
  519.    wt: 2:   Example 1. Area Between x and x squared
  520.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  521.    wt: 2:   Example 3
  522.    wt: 2:   Example 2
  523.    wt: 2:   Area Between Curves Lesson Take 2
  524.    wt: 2:   A Chain Rule Real Player video examples
  525.    wt: 2:   30Chain Rule A Proof
  526.    wt: 2:   29 Chain Rule Optional Reading
  527.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  528.    wt: 2:   26 Chain Rule Recognising outer inner functions
  529.    wt: 2:   25 Chain Rule Animated Examples Continued
  530.    wt: 2:   24 Chain Rule Animated Examples
  531.    wt: 2:   23 Chain Rule in general
  532.    wt: 2:   19 Chain Rule for linear functions
  533.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  534.    wt: 2:   14 sine and cosine derivatives 2nd step
  535.    wt: 2:   12 Quotient rule examples
  536.    wt: 2:   11 Quotient rule
  537.    wt: 2:   9 Reciprocal rule
  538.    wt: 2:   8 Differentiation of polynomials
  539.    wt: 2:   7 Animated Differentiation Examples
  540.    wt: 2:   6 Power rule from product rule
  541.    wt: 2:   5 Product Rule
  542.    wt: 2:   11 Limits at infinity Three Examples
  543.    wt: 2:   3 Decimal insights for limits continuity convergence
  544.    wt: 2:   E2 Algebraic Properties of Limits
  545.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  546.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  547.    wt: 2:   Chapter 23 Links To Trigonometry
  548.    wt: 2:   Chapter 21 Arrow Addition
  549.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  550.    wt: 2:   Chapter 12. Units and Slopes
  551.    wt: 2:   Chapter 2. Slopes and Ski Trails
  552.    wt: 2:   Postscript A Three Remarks
  553.    wt: 2:   Chapter 3 Algebra Difficulties
  554.    wt: 2:   Foreword
  555.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  556.    wt: 2:   Postscript B More on Story Telling and Reason
  557.    wt: 2:   Postscript A Story Telling
  558.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  559.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  560.    wt: 2:   Foreword
  561.    wt: 2:   L Skills with take home value
  562.    wt: 2:   G. Written work formats for developing and showing skill
  563.    wt: 2:   Chapter 2 Why Sets
  564.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  565.    wt: 2:   7 Games and Activities for Instruction
  566.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  567.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  568.    wt: 1:   Appendix 2 primary school Arithmetic 01
  569.    wt: 1:   G LAMP Introduction Problem Solving Skills
  570.    wt: 1:   Skills Chapter 5 Calculus
  571.    wt: 1:   Skills Chapter 4 Logic
  572.    wt: 1:   Ramblings Introduction Algebra Essay
  573.    wt: 1:   Skills Chapter 1 Arithmetic
  574.    wt: 1:   Skills Chapter 0 Introduction
  575.    wt: 1:   11 pure mathematics
  576.    wt: 1:   10 statistics
  577.    wt: 1:   9 combinatorics probability sets
  578.    wt: 1:   8 analytic geometry etc
  579.    wt: 1:   7 logic review and decimals an odd combination
  580.    wt: 1:   6 polynomials etc
  581.    wt: 1:   5 logarithms and exponentials etc
  582.    wt: 1:   3 Euclidean Geometry Leanly
  583.    wt: 1:   1 arithmetic with unsigned numbers
  584.    wt: 1:   What is POMME
  585.    wt: 1:   why bother
  586.    wt: 1:   permissions for teachers
  587.    wt: 1:   activities for students
  588.    wt: 1:   About site lesson plans
  589.    wt: 1:   learning takes time
  590.    wt: 1:   Postscript 2007 01 10
  591.    wt: 1:   Education Reform Inconsistencies
  592.    wt: 1:   Maps Plans Drawings
  593.    wt: 1:   how letters appear
  594.    wt: 1:   Secondary Two Mathematics
  595.    wt: 1:   Secondary One Mathematics
  596.    wt: 1:   teaching tips
  597.    wt: 1:   What to Tell Students
  598.    wt: 1:   mathematics curriculum shifts
  599.    wt: 1:   05 13 OldSiteEntrancePage
  600.    wt: 1:   standards for course material
  601.    wt: 1:   Four ways to improve education reform
  602.    wt: 1:   need for a mixed mathematics curriculum
  603.    wt: 1:   education an empirical art
  604.    wt: 1:   words for mathematics instructor
  605.    wt: 1:   chapitre 12 00 les iles et division
  606.    wt: 1:   chapitre 07 01 principle D induction mathematique
  607.    wt: 1:   chapitre 04 02 Deuxieme enigme
  608.    wt: 1:   chapitre 02 00 La Communication des idees
  609.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  610.    wt: 1:   4 Energy Power Heat09
  611.    wt: 1:   3 Energy Power Heat08
  612.    wt: 1:   1 Energy Power Heat06
  613.    wt: 1:   E Energy Power05
  614.    wt: 1:   D Energy Power04
  615.    wt: 1:   C Energy Power03
  616.    wt: 1:   A Energy Power01
  617.    wt: 1:   D Wire Resistance Calculation02
  618.    wt: 1:   B Wire Resistance Qualitative02
  619.    wt: 1:   3 Like resistors in parallel
  620.    wt: 1:   2 Unlike resistors in parallel01
  621.    wt: 1:   H Series Circuit02
  622.    wt: 1:   B Electromotive force conventional current01
  623.    wt: 1:   17 Math Booklets for children and young teenagers
  624.    wt: 1:   15 Counting For Parents
  625.    wt: 1:   10 Ends values for work study instruction
  626.    wt: 1:   5 Patience Please for Yourself and Your Charges
  627.    wt: 1:   4 Learning Takes Time and Effort
  628.    wt: 1:   3 Preparing for Science Studies
  629.    wt: 1:   1 Speaking Skills
  630.    wt: 1:   Ages 9 to 10
  631.    wt: 1:   Ages 8 to 9
  632.    wt: 1:   Ages 7 to 8
  633.    wt: 1:   Ages 6 to 7
  634.    wt: 1:   Ages 4 plus to 5 plus
  635.    wt: 1:   Ages 3 plus to 4 plus
  636.    wt: 1:   sign monoticity analysis example 4
  637.    wt: 1:   sign monoticity analysis example 3
  638.    wt: 1:   sign monoticity analysis example 1
  639.    wt: 1:   19 Horizontal line rule and method
  640.    wt: 1:   18 Vertical Line Rule and Method
  641.    wt: 1:   17 Function maxima minima and their location
  642.    wt: 1:   16 Increasing or decreasing on intervals
  643.    wt: 1:   15 Sign analysis of functions
  644.    wt: 1:   14 Surjections Injections Bijections
  645.    wt: 1:   13 From one to one to many to one
  646.    wt: 1:   11 Function Domain Range Source and Targets
  647.    wt: 1:   10 Interval Notation
  648.    wt: 1:   9 Set theory term relation possible origins
  649.    wt: 1:   8 Set view of relations and functions
  650.    wt: 1:   7 Functions with finite domains
  651.    wt: 1:   4 Function notation in and beyond mathematics
  652.    wt: 1:   1 Geometric Introduction of Function Notation
  653.    wt: 1:   Introduction Reading Guide
  654.    wt: 1:   A Quadratics Summary
  655.    wt: 1:   10 quadratic exercises
  656.    wt: 1:   9 quadratics physical and further context
  657.    wt: 1:   6 quadratics numerical approach
  658.    wt: 1:   5 quadratics completing the square
  659.    wt: 1:   4 quadratics difference of two squares
  660.    wt: 1:   3 quadratics factoring by inspection
  661.    wt: 1:   1 quadratics graphing exercises
  662.    wt: 1:   Quadratics in 10 steps
  663.    wt: 1:   7 Links Lessons Elsewhere
  664.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  665.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  666.    wt: 1:   4 Polynomials Long division linear divisor
  667.    wt: 1:   3 Polynomials Multiplication Addition
  668.    wt: 1:   1 Polynomials Distributive Law
  669.    wt: 1:   16 cotangent function Definition Graph and Inverse
  670.    wt: 1:   15 cosecant function Definition Graph and Inverse
  671.    wt: 1:   14 secant function Definition Graph and Inverse
  672.    wt: 1:   13 cosecant function Definition Graph and Inverse
  673.    wt: 1:   11 arctan left inverse of tangent Graph
  674.    wt: 1:   10 arctan left inverse of tangent Definition
  675.    wt: 1:   9 motivation for name arcsin
  676.    wt: 1:   4 possible motivation for term arccos
  677.    wt: 1:   2 cosine function more properties
  678.    wt: 1:   9 Summary Degrees to Radians and back
  679.    wt: 1:   2 Radian Measure Numerical Value of one degree
  680.    wt: 1:   Parallel Lines and Interior Angles
  681.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  682.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  683.    wt: 1:   Straight Lines ASA Intersection Study More
  684.    wt: 1:   14 Straight Lines Equations General Case
  685.    wt: 1:   10 Straight Lines through Origin Equations More
  686.    wt: 1:   9 Straight Lines through Origin Equations
  687.    wt: 1:   1 Straight Lines Slope Concept
  688.    wt: 1:   17 tangent function angle sum formulas
  689.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  690.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  691.    wt: 1:   32 seven rows of pascals triangle
  692.    wt: 1:   30 unit circle calculation of six trigonometric functions
  693.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  694.    wt: 1:   17C sine and cosine double triple angle formulas
  695.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  696.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  697.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  698.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  699.    wt: 1:   2 Quadrant I reference Angles
  700.    wt: 1:   11 sine and cosine double triple angle formulas
  701.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  702.    wt: 1:   8 Triangles Cascade Problem Solving
  703.    wt: 1:   7 Trignometric Ratios Unit Circle
  704.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  705.    wt: 1:   3 Trigonometric Ratios sine and cosine
  706.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  707.    wt: 1:   4 Similarity Definition with Coordinate
  708.    wt: 1:   8 Mid Point Formula
  709.    wt: 1:   5 Algebraic View of Slopes
  710.    wt: 1:   3 Slope product for perpendicular lines
  711.    wt: 1:   13 Pythagorean spatial distance formulas
  712.    wt: 1:   10 Pythagorean plane distance formula
  713.    wt: 1:   2 Measuring Area Directly
  714.    wt: 1:   5 Square Roots with primes more still
  715.    wt: 1:   4 Square Roots with primes more
  716.    wt: 1:   3 Properties of Square Roots with example
  717.    wt: 1:   1 Squares and Square Roots Introduction
  718.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  719.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  720.    wt: 1:   13 GCD from given Prime Factorization
  721.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  722.    wt: 1:   7 GCD and LCM from prime factorization
  723.    wt: 1:   6 GCD from Prime
  724.    wt: 1:   5 Common Divisors 60 45 via Prime
  725.    wt: 1:   4 LCM of 8 and 10 via Prime
  726.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  727.    wt: 1:   1 Least Common Multiples LCM Introduction
  728.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  729.    wt: 1:   4 Counting with Trees Product Rule Take I
  730.    wt: 1:   3 Counting with Tables and Trees II
  731.    wt: 1:   1 Counting and Counting Methods I
  732.    wt: 1:   11 What are real lengths and numbers
  733.    wt: 1:   10 dividing signed numbers
  734.    wt: 1:   9 subtracting signed numbers
  735.    wt: 1:   8 multiplying signed numbers
  736.    wt: 1:   7 negative and additive inverse
  737.    wt: 1:   6 adding signed numbers
  738.    wt: 1:   5 lengths and signs of numbers
  739.    wt: 1:   7 Converting or Changing Units
  740.    wt: 1:   6 Simplification of Fractions with Units
  741.    wt: 1:   4 Fractions with Units
  742.    wt: 1:   3 Multiplying Units and Numbers
  743.    wt: 1:   1 Addition and Subtraction with Units
  744.    wt: 1:   B Fractions and Two Term Ratios
  745.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  746.    wt: 1:   18 Efficient Ways to Multiply
  747.    wt: 1:   17 Efficient Ways to Add and Subtract
  748.    wt: 1:   16 Addition Subtraction Comparision Compared
  749.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  750.    wt: 1:   14 Adding and Subtracting with Like Denominators
  751.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  752.    wt: 1:   9 Improper Fractions and Mixed Numbers
  753.    wt: 1:   8 Numerals Fractionals Quantals Take II
  754.    wt: 1:   7 Numerals Fractionals Quantals
  755.    wt: 1:   6 Multiplication of Mixed Numbers
  756.    wt: 1:   5 Equivalent Fractions
  757.    wt: 1:   4 Fraction Multiplication
  758.    wt: 1:   3 Unit fraction of a fraction
  759.    wt: 1:   1 What is a fraction Take II
  760.    wt: 1:   1 What is a fraction
  761.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  762.    wt: 1:   D Remainders Modulo 11 Pair Rule
  763.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  764.    wt: 1:   B Integer Long Division Multiple Choices
  765.    wt: 1:   A Associative Law Theorectical Note
  766.    wt: 1:   9 Multiplying Integers
  767.    wt: 1:   8 Multiplication by Signed Numbers Integers
  768.    wt: 1:   7 Multiplication by Signs
  769.    wt: 1:   6 Multiplication by Natural Numbers
  770.    wt: 1:   5 Zero Movement and Additive Inverses
  771.    wt: 1:   4 Adding Movements wiht opposite directions
  772.    wt: 1:   3 Adding Movements with same direction
  773.    wt: 1:   1 Integers as Coordinates
  774.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  775.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  776.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  777.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  778.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  779.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  780.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  781.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  782.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  783.    wt: 1:   11 Place Value SI Standard International way
  784.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  785.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  786.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  787.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  788.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  789.    wt: 1:   Exact Arithmetic Wholes and Fractions
  790.    wt: 1:   Expression Evaluation how to show work
  791.    wt: 1:   About folder contents
  792.    wt: 1:   016 Numbering Occidental Calendar Days
  793.    wt: 1:   015 School and work day counting tables
  794.    wt: 1:   014 Counting Days with Calendars
  795.    wt: 1:   013 Travel Time Tables
  796.    wt: 1:   011 Division of Time Intervals By Numbers
  797.    wt: 1:   010 Repeated Addition of Time Intervals
  798.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  799.    wt: 1:   8 Addition of Time Intervals via subtotaling
  800.    wt: 1:   7 Addition of Time Intervals
  801.    wt: 1:   6 How long is a million seconds
  802.    wt: 1:   5 Conversion Arithmetic
  803.    wt: 1:   4 Mixing and Changing Units of Time
  804.    wt: 1:   3 Units and Lengths of Time
  805.    wt: 1:   Example 1 volume of a pyramid
  806.    wt: 1:   Volume of Solid by Cross Sections Lesson
  807.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  808.    wt: 1:   Example 4 with x function of y
  809.    wt: 1:   Example 1
  810.    wt: 1:   Area Between Curves Lesson Take 1
  811.    wt: 1:   Summary
  812.    wt: 1:   2 Indefinite Integrals Exercises
  813.    wt: 1:   1 Chain Rule in Reverse Integration Method
  814.    wt: 1:   2 Second derivative test prequel
  815.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  816.    wt: 1:   36 Cube root derivative animated
  817.    wt: 1:   34 Derivative of exponential function
  818.    wt: 1:   33 Chain Rule Real Player video examples
  819.    wt: 1:   31 Derivatives of inverse functions
  820.    wt: 1:   18 Chain Rule Introduction
  821.    wt: 1:   17 Derivatives of quotients of sine and cosine
  822.    wt: 1:   15 sine and cosine derivatives 3rd step
  823.    wt: 1:   13 sine and cosine derivatives 1st step
  824.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  825.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  826.    wt: 1:   10 Three one sided limits with infinite values
  827.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  828.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  829.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  830.    wt: 1:   F.4 Finite Covering Theorem
  831.    wt: 1:   F.2 Closed Range Theorem
  832.    wt: 1:   D2 Limits of Monotone Sequences
  833.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  834.    wt: 1:   PostScript For and Against Decimal Perspectives
  835.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  836.    wt: 1:   Fall 1983 Calculus Appetizer
  837.    wt: 1:   Foreword
  838.    wt: 1:   Annotated Links to Material Elsehwere
  839.    wt: 1:   Postscript B Mathematics Education References
  840.    wt: 1:   Chapter 11 Elementary Instruction
  841.    wt: 1:   Chapter 10 Transition
  842.    wt: 1:   Chapter 9 The Two Ends
  843.    wt: 1:   Chapter 8 Modern Instruction
  844.    wt: 1:   Chapter 7 Two Treatments of Geometry
  845.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  846.    wt: 1:   Chapter 5 Four References
  847.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  848.    wt: 1:   Chapter 1 Introduction
  849.    wt: 1:   Chapter 18 Sense and Knowledge
  850.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  851.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  852.    wt: 1:   Chapter 15 Objective Processes
  853.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  854.    wt: 1:   Chapter 11 Accidental Patterns
  855.    wt: 1:   Chapter 10 Responsibility
  856.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  857.    wt: 1:   Chapter 8 Change of Language
  858.    wt: 1:   Chapter 7 Longer Chains of Reason
  859.    wt: 1:   Chapter 6 Chains of Reason
  860.    wt: 1:   Chapter 5 Deception
  861.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  862.    wt: 1:   Chapter 1 Introduction
  863.    wt: 1:   S Adding words to algebra
  864.    wt: 1:   R Why Learn Mathematics Skills
  865.    wt: 1:   N Mathematics Prepare for College Studies
  866.    wt: 1:   I. Logic and language skills
  867.    wt: 1:   B. Domino effect of errors
  868.    wt: 1:   How to Build Skills and Confidence
  869.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  870.    wt: 1:   Chapter 6 More Algebra and Geometry
  871.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  872.    wt: 1:   Chapter 3 Algebra Starter Lessons
  873.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  874.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  875.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  876.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  877.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  878.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  879.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  880.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  881.    wt: 1:   More Algebra and Slope based Calculus Preview
  882.    wt: 1:   Systematic Algebra Skill Development Missing Links
  883.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  884.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  885.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  886.    wt: 1:   The Math Forum and Site Content
  887.    wt: 10:   Chapter 25. Mathematical Induction Examples
  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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