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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42 matches:

  1.    wt: 4:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 4:   2 Formula Forward Use Evaluation/
  3.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  4.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  5.    wt: 2:   Parent Center/
  6.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  7.    wt: 2:   12 Function Translating and Rescaling/
  8.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  9.    wt: 2:   9 Proportionality Backwards and Forwards/
  10.    wt: 2:   8 Unifying Theme For Algebra/
  11.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  12.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  13.    wt: 2:   D Decimal Long Division Methods/
  14.    wt: 2:   C Decimal Multiplication Methods/
  15.    wt: 2:   A Decimal Counting and Adding Methods/
  16.    wt: 2:   2 Arithmetic with Decimals/
  17.    wt: 2:   Volume 2 Three Skills For Algebra/
  18.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  19.    wt: 1:   LAMP Lean Applied Mathematics Program/
  20.    wt: 1:   Mathematics Education Essays/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   B Real Numbers Extrinsic Development/
  24.    wt: 1:   A Origins of Counting and Figuring Methods/
  25.    wt: 1:   10 Examples of Algebraic Reasoning/
  26.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   5 Real Numbers/
  29.    wt: 1:   4 Computation Rules and Function Notation/
  30.    wt: 1:   Step 4 Gaussian Elimination/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   3 Solving Linear Equations/
  33.    wt: 1:   1 Working With Sets/
  34.    wt: 1:   Algebra Starter Lessons/
  35.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  36.    wt: 1:   38 Lessons on Calculating Derivatives/
  37.    wt: 1:   Volume 1A Pattern Based Reason/
  38.    wt: 1:   Volume 1 Elements of Reason/
  39.    wt: 1:   Mathematics 506 Lessons/
  40.    wt: 1:   Secondary Mathematics A Practical Approach/
  41.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  42.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

401 matches:

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

Extended Search

797 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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.

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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
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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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