Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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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54 matches:

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

Web Page Search

457 matches:

  1.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  2.    wt: 5:   Chapter 4 Implication Rules Forwards and Backwards
  3.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  4.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  5.    wt: 4:   Long Division forwards and backwards Example 2
  6.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  7.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  8.    wt: 3:   2 More and Less Than for Counts and Measures
  9.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  10.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  11.    wt: 3:   12 GCD 2700 288 via Prime
  12.    wt: 3:   Long Division forwards and backwards Example 3
  13.    wt: 3:   Long Division forwards and backwards Example 1
  14.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  15.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  16.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  17.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  18.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  19.    wt: 2:   02 21 words for teachers
  20.    wt: 2:   02 20 mathematics education references
  21.    wt: 2:   2 Conductance Resistance Duality02
  22.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  23.    wt: 2:   24 Standards For Skill Develoment Take II
  24.    wt: 2:   24 Standards For Skill Develoment
  25.    wt: 2:   22 Student Centered Highschool Mathematics
  26.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 2:   12 Goals and Objectives For Mathematics
  29.    wt: 2:   2 Reading and Writing Skills
  30.    wt: 2:   26 Function definitions done and coming
  31.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  32.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  33.    wt: 2:   22 Square Root function graphically
  34.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  35.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  36.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  37.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  38.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  39.    wt: 2:   29 secant cosecant and cotangent for acute angles
  40.    wt: 2:   27 Logarithmic use of products of sines and cosines
  41.    wt: 2:   26 Formulas for products of sines and cosines
  42.    wt: 2:   21 sine and cosine Half Angle Formulas
  43.    wt: 2:   20 sine and cosine Double Angle Formulas
  44.    wt: 2:   14 cosine even and sine and tangent are odd
  45.    wt: 2:   21 Logarithms Powers and Exponentials
  46.    wt: 2:   12 cis formulas for sine cosines and tangent
  47.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  48.    wt: 2:   3 Lengths and Areas on Maps and Plans
  49.    wt: 2:   22 Multiplication of Signed Numbers
  50.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  51.    wt: 2:   2 Combing Counts Addition Skills and Principles
  52.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  53.    wt: 2:   6 Compound Interest Forward and Backwards
  54.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  55.    wt: 2:   2 Addition and Multiplication Axioms
  56.    wt: 2:   2 Computation Rules Evaluation
  57.    wt: 2:   2 More and Less Than with Unlike Signs
  58.    wt: 2:   1 More and Less Than for Counts and Measures
  59.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  60.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  61.    wt: 2:   2 Counting with Tables and Trees I
  62.    wt: 2:   2 signed and unsigned numbers as coordinates
  63.    wt: 2:   2 Equality and Units
  64.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  65.    wt: 2:   22 Complex Compound Fractions
  66.    wt: 2:   21 Reciprocals for Fractions and Wholes
  67.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  68.    wt: 2:   26 Divisibility by 2 3 5 Example
  69.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  70.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  71.    wt: 2:   23 Remainder Arithmetic Modulo 2
  72.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  73.    wt: 2:   12 LCD GCD and LCM using Primes
  74.    wt: 2:   2 Prime and Composites less than 16
  75.    wt: 2:   9 22 Minute Subtraction Review Video
  76.    wt: 2:   6. Counting and adding units and mixed units
  77.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  78.    wt: 2:   2 Time and Date Matters in School
  79.    wt: 2:   38 Formulas and derivatives for powers and roots
  80.    wt: 2:   22 Chain Rule for polynomials
  81.    wt: 2:   14 sine and cosine derivatives 2nd step
  82.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  83.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  84.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  85.    wt: 2:   Chapter 22 Complex Numbers
  86.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  87.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  88.    wt: 2:   Chapter 12. Units and Slopes
  89.    wt: 2:   Chapter 2. Slopes and Ski Trails
  90.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  91.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  92.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  93.    wt: 2:   Chapter 20. Degrees and Radians
  94.    wt: 2:   Chapter 12. Shorthand Usage Guide
  95.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  96.    wt: 2:   Chapter 2 For and Against Mathematics
  97.    wt: 2:   Chapter 24 Direct and Indirect Reason
  98.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  99.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  100.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  101.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  102.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  103.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  104.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  105.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  106.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  107.    wt: 1:   Appendix 2 primary school Arithmetic 01
  108.    wt: 1:   Appendix 1 primary and preschool mathematic
  109.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  110.    wt: 1:   Skills Chapter 2 Geometry
  111.    wt: 1:   7 logic review and decimals an odd combination
  112.    wt: 1:   5 logarithms and exponentials etc
  113.    wt: 1:   2 arithmetic with signed numbers
  114.    wt: 1:   Applied Maths Program14092009 POMME variant
  115.    wt: 1:   key notes and themes
  116.    wt: 1:   what should be learnt and When
  117.    wt: 1:   Postscript 2007 01 10
  118.    wt: 1:   geometric implications for algebra
  119.    wt: 1:   04 29 New Mathematics Curriculum
  120.    wt: 1:   04 25 when to stop or suspend mathemat
  121.    wt: 1:   standards for course material
  122.    wt: 1:   Education in mathematics science and technology
  123.    wt: 1:   Motivation and Context Problem
  124.    wt: 1:   fairness and inductive principles for instruction
  125.    wt: 1:   chapitre 12 00 les iles et division
  126.    wt: 1:   chapitre 04 05 Implication versus suggestion
  127.    wt: 1:   chapitre 04 02 Deuxieme enigme
  128.    wt: 1:   chapitre 04 00 Les regles d implication
  129.    wt: 1:   chapitre 02 00 La Communication des idees
  130.    wt: 1:   2 Energy Power Heat07
  131.    wt: 1:   B Energy Power02
  132.    wt: 1:   D Wire Resistance Calculation02
  133.    wt: 1:   B Wire Resistance Qualitative02
  134.    wt: 1:   2 Unlike resistors in parallel01
  135.    wt: 1:   H Series Circuit02
  136.    wt: 1:   C Electromotive force conventional current02
  137.    wt: 1:   Home Tutoring and Home Schooling
  138.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  139.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  140.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  141.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  142.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  143.    wt: 1:   17 Math Booklets for children and young teenagers
  144.    wt: 1:   14 Multiplication and Times Tables
  145.    wt: 1:   13 Addition and Addition Tables
  146.    wt: 1:   11 Help and Defend Your Child or Teens Education
  147.    wt: 1:   5 Patience Please for Yourself and Your Charges
  148.    wt: 1:   4 Learning Takes Time and Effort
  149.    wt: 1:   Ages 12 to 14 Skills with take home value
  150.    wt: 1:   Ages 12 to 14 Geometry
  151.    wt: 1:   Ages 12 to 14 Arithmetic
  152.    wt: 1:   Ages 10 to 12 Geometry
  153.    wt: 1:   Ages 10 to 12 Arithmetic
  154.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  155.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  156.    wt: 1:   sign monoticity analysis example 2
  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:   19 Horizontal line rule and method
  161.    wt: 1:   18 Vertical Line Rule and Method
  162.    wt: 1:   17 Function maxima minima and their location
  163.    wt: 1:   12 Function Domain Recognition Exercises
  164.    wt: 1:   11 Function Domain Range Source and Targets
  165.    wt: 1:   8 Set view of relations and functions
  166.    wt: 1:   6 Set Existence Formation and Notation
  167.    wt: 1:   4 Function notation in and beyond mathematics
  168.    wt: 1:   2 Algebraic use of function notation
  169.    wt: 1:   9 quadratics physical and further context
  170.    wt: 1:   2 quadratics graphing in general
  171.    wt: 1:   11 Growth and Decay in Biology
  172.    wt: 1:   10 Exponential Growth and Decay Models
  173.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  174.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  175.    wt: 1:   2 Square Root Simplification a prequel
  176.    wt: 1:   2 Column Multiplication Method
  177.    wt: 1:   16 cotangent function Definition Graph and Inverse
  178.    wt: 1:   15 cosecant function Definition Graph and Inverse
  179.    wt: 1:   14 secant function Definition Graph and Inverse
  180.    wt: 1:   13 cosecant function Definition Graph and Inverse
  181.    wt: 1:   12 motivation for term arctan
  182.    wt: 1:   2 cosine function more properties
  183.    wt: 1:   9 Summary Degrees to Radians and back
  184.    wt: 1:   2 Radian Measure Numerical Value of one degree
  185.    wt: 1:   1 Degrees and Radians Introduction
  186.    wt: 1:   A Global Time and Navigation
  187.    wt: 1:   15 Dot and Cross Product
  188.    wt: 1:   12 From Applied To Pure Mathematics
  189.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  190.    wt: 1:   2 Signed Coordinates
  191.    wt: 1:   Vector and Complex Number Applet
  192.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  193.    wt: 1:   Parallel Lines and Parallel Transversals
  194.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  195.    wt: 1:   Parallel Lines and Interior Angles
  196.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  197.    wt: 1:   12 Straight Lines Graphing mx plus b
  198.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  199.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  200.    wt: 1:   32 seven rows of pascals triangle
  201.    wt: 1:   28 Expressing products of sines cosines as sums
  202.    wt: 1:   25 tangent double angle formula Slope connection
  203.    wt: 1:   24 tangent Angle Difference Formula
  204.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  205.    wt: 1:   17E Trig Formulas for dot and cross Products
  206.    wt: 1:   17D cis formulas for sine cosines and tangent
  207.    wt: 1:   17C sine and cosine double triple angle formulas
  208.    wt: 1:   12 Graph of tangent function for one period
  209.    wt: 1:   10 Graphs of sines and cosines many periods
  210.    wt: 1:   9 Graphs of sine and cosine over one period
  211.    wt: 1:   7 period of sine and cosine
  212.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  213.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  214.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  215.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  216.    wt: 1:   2 Quadrant I reference Angles
  217.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  218.    wt: 1:   20 N th Roots of Complex Numbers
  219.    wt: 1:   16 References and Originality Question
  220.    wt: 1:   13 Trig Formulas for dot and cross Products
  221.    wt: 1:   11 sine and cosine double triple angle formulas
  222.    wt: 1:   2 Complex Numbers made easier we hope
  223.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  224.    wt: 1:   3 Trigonometric Ratios sine and cosine
  225.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  226.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  227.    wt: 1:   12 Triangles Similarity More Problems
  228.    wt: 1:   8 Similarity of Triangles and Polygons
  229.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  230.    wt: 1:   2 Similarity By Design
  231.    wt: 1:   12 Links Lessons elsewhere
  232.    wt: 1:   10 Midpoint of [a b] and [b a]
  233.    wt: 1:   7 Exercises to test skill and concept mastery
  234.    wt: 1:   2 point slope equation for a line
  235.    wt: 1:   1 Numerical view of lines and their equations
  236.    wt: 1:   What is and is not here
  237.    wt: 1:   12 Spatial Coordinates
  238.    wt: 1:   6 Polar Multiplication and Rotation
  239.    wt: 1:   5 Cartesian Addition and Translation
  240.    wt: 1:   4 Polar Coordinates to and from
  241.    wt: 1:   2 Cartesian Coordinates with signs
  242.    wt: 1:   21 Parallelograms
  243.    wt: 1:   16 Angles Subtended By Chords and Diameters
  244.    wt: 1:   12 Side Angle Side Failure
  245.    wt: 1:   6 Ruler and compass Angle Bisection
  246.    wt: 1:   2 Correspondence between Triangles
  247.    wt: 1:   1 Initial Concepts and Terms
  248.    wt: 1:   2 Measuring Area Directly
  249.    wt: 1:   A Modular and Remainder Arithmetic
  250.    wt: 1:   26 More Less Greater Than Comparison
  251.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  252.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  253.    wt: 1:   23 Distributive Law Two Derivations
  254.    wt: 1:   21 Addition of Multiples of a Single Vector
  255.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  256.    wt: 1:   13 Arrows and Vectors in a Plane
  257.    wt: 1:   12 Real Numbers Line Signed Coordinates
  258.    wt: 1:   11 Signed Number Addition and Addition Properties
  259.    wt: 1:   8 Division and Mulplication of Compound Fractions
  260.    wt: 1:   2 Counting Digits in Decimal Multiplication
  261.    wt: 1:   B Decimal Comparison and Subtraction
  262.    wt: 1:   2 Fraction Operations Physical Development
  263.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  264.    wt: 1:   4 Rates Ratios and Proporitionality
  265.    wt: 1:   2 Algebraic View
  266.    wt: 1:   5 Triangle Area Formula Backwards
  267.    wt: 1:   2 Linear Equation Literal Solution
  268.    wt: 1:   6 Equations and Systems Equivalent or Implied
  269.    wt: 1:   4 Subtraction and Division Axioms
  270.    wt: 1:   1 Equivalent Computation Rules
  271.    wt: 1:   3 More and Less Than with Unlike Signs
  272.    wt: 1:   12 Real Number Additive Inverses or Negatives
  273.    wt: 1:   10 Real Number Lengths and Signs
  274.    wt: 1:   8 Coordinates for Maps and Planes
  275.    wt: 1:   2 Integers
  276.    wt: 1:   1 Whole and Natural Numbers
  277.    wt: 1:   3 Geometric Formulas and Function Notation
  278.    wt: 1:   1 Formulas Dependence and Function Notation
  279.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  280.    wt: 1:   3 GE III Equation Addition and Multiplication
  281.    wt: 1:   2 GE II Comparison
  282.    wt: 1:   2 Essentially one exercises three with solution
  283.    wt: 1:   2 Three Examples
  284.    wt: 1:   2 Three Examples
  285.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  286.    wt: 1:   2 Another Rectangle Area Formula Example
  287.    wt: 1:   1 Written work formats for developing and showing skill
  288.    wt: 1:   9 Sets in Probability and Statistics
  289.    wt: 1:   2 Venn Diagrams
  290.    wt: 1:   5 Talking about Numbers and Quantities
  291.    wt: 1:   4 A Brief Story of numbers and algebra
  292.    wt: 1:   2 What is a Variable
  293.    wt: 1:   2 Square Roots with Prime
  294.    wt: 1:   1 Squares and Square Roots Introduction
  295.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  296.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  297.    wt: 1:   7 GCD and LCM from prime factorization
  298.    wt: 1:   4 LCM of 8 and 10 via Prime
  299.    wt: 1:   2 Least Common Multiple LCM intro via list method
  300.    wt: 1:   3 Counting with Tables and Trees II
  301.    wt: 1:   1 Counting and Counting Methods I
  302.    wt: 1:   11 What are real lengths and numbers
  303.    wt: 1:   7 negative and additive inverse
  304.    wt: 1:   5 lengths and signs of numbers
  305.    wt: 1:   3 signed coordinates for maps and planes
  306.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  307.    wt: 1:   3 Multiplying Units and Numbers
  308.    wt: 1:   1 Addition and Subtraction with Units
  309.    wt: 1:   B Fractions and Two Term Ratios
  310.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  311.    wt: 1:   21 Working With Signs
  312.    wt: 1:   20 Dividing Fractions the Why
  313.    wt: 1:   17 Efficient Ways to Add and Subtract
  314.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  315.    wt: 1:   14 Adding and Subtracting with Like Denominators
  316.    wt: 1:   12 Fraction Comparison
  317.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  318.    wt: 1:   9 Improper Fractions and Mixed Numbers
  319.    wt: 1:   2 Unit Fraction Multiplication
  320.    wt: 1:   12 Adding Integers More Examples
  321.    wt: 1:   11 Adding Integers Formulas and Examples
  322.    wt: 1:   5 Zero Movement and Additive Inverses
  323.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  324.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  325.    wt: 1:   21 Remainder Arithmetic Modulo 3
  326.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  327.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  328.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  329.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  330.    wt: 1:   20 Uniqueness of Prime Factorization
  331.    wt: 1:   17 Identify and Count Factors using Primes
  332.    wt: 1:   15 video Factors of 20 using Prime Factorization
  333.    wt: 1:   14 video Factors of 24 Take II
  334.    wt: 1:   13 video Factors of 24 using prime
  335.    wt: 1:   10 video Prime Factorization upto 23 squared
  336.    wt: 1:   7 Calculator Usage Notes and Cautions
  337.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  338.    wt: 1:   5 Prime Factorization and a Square Rule
  339.    wt: 1:   3 video Primes and Composites from 9 times table
  340.    wt: 1:   Long Division Backwards more
  341.    wt: 1:   Division with Counts and Length
  342.    wt: 1:   12 Why Long Division Works Take III
  343.    wt: 1:   10 Division by Five Long and Short Ways
  344.    wt: 1:   4 Division with 2 Digit Divsors
  345.    wt: 1:   2 Division with Single Digit Divisors
  346.    wt: 1:   4 Two and Three Digit Multipliers
  347.    wt: 1:   2 One Digit Multipliers
  348.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  349.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  350.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  351.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  352.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  353.    wt: 1:   2 Subtraction Easy Case Examples
  354.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  355.    wt: 1:   8 What skills and work habits to require
  356.    wt: 1:   2 Decimal Counting Practices
  357.    wt: 1:   11 Place Value SI Standard International way
  358.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  359.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  360.    wt: 1:   Quick history of numbers and algebra
  361.    wt: 1:   Exact Arithmetic Wholes and Fractions
  362.    wt: 1:   The 20 Times Table
  363.    wt: 1:   The 12 Times Table Visually
  364.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  365.    wt: 1:   015 School and work day counting tables
  366.    wt: 1:   012 Division of Time Intervals by Time Intervals
  367.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  368.    wt: 1:   4 Mixing and Changing Units of Time
  369.    wt: 1:   3 Units and Lengths of Time
  370.    wt: 1:   Example 2 volume of a cone
  371.    wt: 1:   Example 1. Area Between x and x squared
  372.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  373.    wt: 1:   Example 2
  374.    wt: 1:   Area Between Curves Lesson Take 2
  375.    wt: 1:   2 Indefinite Integrals Exercises
  376.    wt: 1:   2 Second derivative test prequel
  377.    wt: 1:   29 Chain Rule Optional Reading
  378.    wt: 1:   28 Chain Rule Preparation for a Proof
  379.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  380.    wt: 1:   26 Chain Rule Recognising outer inner functions
  381.    wt: 1:   25 Chain Rule Animated Examples Continued
  382.    wt: 1:   24 Chain Rule Animated Examples
  383.    wt: 1:   23 Chain Rule in general
  384.    wt: 1:   21 Chain Rule for powers
  385.    wt: 1:   20 Chain Rule for Pulley Systems
  386.    wt: 1:   17 Derivatives of quotients of sine and cosine
  387.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  388.    wt: 1:   15 sine and cosine derivatives 3rd step
  389.    wt: 1:   13 sine and cosine derivatives 1st step
  390.    wt: 1:   12 Quotient rule examples
  391.    wt: 1:   3 Motivation for Limit Definition Take 2
  392.    wt: 1:   2 Motivation for Limit Definition Take 1
  393.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  394.    wt: 1:   9 Limits Continuity and Composition
  395.    wt: 1:   5 Jumps and absence of unlimited error control
  396.    wt: 1:   2 Algebraic codification
  397.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  398.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  399.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  400.    wt: 1:   F.2 Closed Range Theorem
  401.    wt: 1:   E2 Algebraic Properties of Limits
  402.    wt: 1:   D2 Limits of Monotone Sequences
  403.    wt: 1:   PostScript For and Against Decimal Perspectives
  404.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  405.    wt: 1:   Chapter 23 Links To Trigonometry
  406.    wt: 1:   Chapter 21 Arrow Addition
  407.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  408.    wt: 1:   Chapter 10 Slopes and Units
  409.    wt: 1:   Chapter 7 Slopes and Velocity
  410.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  411.    wt: 1:   Appendix E. How To Study Mathematics and Why
  412.    wt: 1:   Appendix D. What to do in School and Why
  413.    wt: 1:   Chapter 31 Direct and Indirect Reason
  414.    wt: 1:   Chapter 28 Occurrence Tables
  415.    wt: 1:   Chapter 25. Mathematical Induction Examples
  416.    wt: 1:   Chapter 23. Notation For Sums
  417.    wt: 1:   Chapter 21. Third Reading Guide
  418.    wt: 1:   Chapter 19. Functions and Sets
  419.    wt: 1:   Chapter 18. Rules for Algebra
  420.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  421.    wt: 1:   Chapter 11. Why Shorthand
  422.    wt: 1:   Chapter 10 Describing and Changing Calculations
  423.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  424.    wt: 1:   Chapter 12 Four Phases
  425.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  426.    wt: 1:   Postscript B More on Story Telling and Reason
  427.    wt: 1:   Chapter 23 Truth Tables
  428.    wt: 1:   Chapter 21 Occurrence Tables
  429.    wt: 1:   Chapter 18 Sense and Knowledge
  430.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  431.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  432.    wt: 1:   Chapter 2 Skill Development
  433.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  434.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  435.    wt: 1:   O On Learning Mathematics and Science
  436.    wt: 1:   N Improving Marks on Tests and Finals
  437.    wt: 1:   J. More on written work and showing skill
  438.    wt: 1:   I. Logic and language skills
  439.    wt: 1:   H Jigsaw puzzles and problem solving
  440.    wt: 1:   G. Written work formats for developing and showing skill
  441.    wt: 1:   E. When and how to correct errors
  442.    wt: 1:   How to Build Skills and Confidence
  443.    wt: 1:   Chapter 8 Skipped Topics and Why
  444.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  445.    wt: 1:   Chapter 6 More Algebra and Geometry
  446.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  447.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  448.    wt: 1:   Chapter 2 Why Sets
  449.    wt: 1:   7 Games and Activities for Instruction
  450.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  451.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  452.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  453.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  454.    wt: 1:   Helping the Blind in Logic and Mathematics
  455.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  456.    wt: 1:   More Algebra and Slope based Calculus Preview
  457.    wt: 1:   The Math Forum and Site Content

Extended Search

899 matches:

  1.    wt: 8:   Long Division forwards and backwards Example 2
  2.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  3.    wt: 7:   2 More and Less Than with Unlike Signs
  4.    wt: 7:   Long Division forwards and backwards Example 3
  5.    wt: 7:   9 22 Minute Subtraction Review Video
  6.    wt: 7:   2 Subtraction Easy Case Examples
  7.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  8.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  9.    wt: 6:   2 Algebraic View
  10.    wt: 6:   1 More and Less Than for Counts and Measures
  11.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  12.    wt: 6:   Long Division forwards and backwards Example 1
  13.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  14.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  15.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  16.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  17.    wt: 6:   6. Counting and adding units and mixed units
  18.    wt: 6:   2 Decimal Counting Practices
  19.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  20.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  21.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  22.    wt: 5:   2 Combing Counts Addition Skills and Principles
  23.    wt: 5:   4 Rates Ratios and Proporitionality
  24.    wt: 5:   2 More and Less Than for Counts and Measures
  25.    wt: 5:   2 Computation Rules Evaluation
  26.    wt: 5:   2 Three Examples
  27.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  28.    wt: 5:   12 GCD 2700 288 via Prime
  29.    wt: 5:   22 Complex Compound Fractions
  30.    wt: 5:   21 Reciprocals for Fractions and Wholes
  31.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  32.    wt: 5:   Long Division Backwards more
  33.    wt: 5:   Long Division Backward
  34.    wt: 5:   12 Why Long Division Works Take III
  35.    wt: 5:   2 Division with Single Digit Divisors
  36.    wt: 5:   2 One Digit Multipliers
  37.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  38.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  39.    wt: 5:   Video Power Notation in Decimal Expansion
  40.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  41.    wt: 5:   Subtraction with J Conversions Example
  42.    wt: 5:   Subtraction Another Video Lesson
  43.    wt: 5:   8 Subtraction with Units of Measure
  44.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  45.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  46.    wt: 5:   5 A Tip for Efficent Subtraction
  47.    wt: 5:   8 What skills and work habits to require
  48.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  49.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  50.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  51.    wt: 5:   2 Identifying Size and Position Place and Spatial Sense
  52.    wt: 4:   22 Student Centered Highschool Mathematics
  53.    wt: 4:   22 Square Root function graphically
  54.    wt: 4:   2 Square Root Simplification a prequel
  55.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  56.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  57.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  58.    wt: 4:   PS B Parallelogram Construction Methods
  59.    wt: 4:   21 Parallelograms
  60.    wt: 4:   12 Side Angle Side Failure
  61.    wt: 4:   2 Correspondence between Triangles
  62.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  63.    wt: 4:   5 Proportionality in Equivalent Fractions
  64.    wt: 4:   3 Proportionality Examples
  65.    wt: 4:   1 What is Proportionality
  66.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  67.    wt: 4:   2 Addition and Multiplication Axioms
  68.    wt: 4:   3 Geometric Formulas and Function Notation
  69.    wt: 4:   1 Formulas Dependence and Function Notation
  70.    wt: 4:   2 Essentially one exercises three with solution
  71.    wt: 4:   2 Three Examples
  72.    wt: 4:   4 Greater More Less Than Signs in General
  73.    wt: 4:   3 Comparison of Negative Numbers
  74.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  75.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  76.    wt: 4:   2 Counting with Tables and Trees I
  77.    wt: 4:   2 signed and unsigned numbers as coordinates
  78.    wt: 4:   2 Equality and Units
  79.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  80.    wt: 4:   21 Working With Signs
  81.    wt: 4:   20 Dividing Fractions the Why
  82.    wt: 4:   2 Unit Fraction Multiplication
  83.    wt: 4:   26 Divisibility by 2 3 5 Example
  84.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  85.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  86.    wt: 4:   23 Remainder Arithmetic Modulo 2
  87.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  88.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  89.    wt: 4:   12 LCD GCD and LCM using Primes
  90.    wt: 4:   2 Prime and Composites less than 16
  91.    wt: 4:   Division with Counts and Length
  92.    wt: 4:   10 Division by Five Long and Short Ways
  93.    wt: 4:   4 Division with 2 Digit Divsors
  94.    wt: 4:   4 Two and Three Digit Multipliers
  95.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  96.    wt: 4:   7 Adding decimal fractions using decimal point
  97.    wt: 4:   5. How to add decimals C. Examples
  98.    wt: 4:   4. How to add with decimals B with conversions
  99.    wt: 4:   3. How to add with decimals A sans conversions
  100.    wt: 4:   1. Explaining Addition Table
  101.    wt: 4:   Example 1. Area Between x and x squared
  102.    wt: 4:   Chapter 22 Complex Numbers
  103.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  104.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  105.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  106.    wt: 4:   Chapter 20. Degrees and Radians
  107.    wt: 4:   Chapter 12. Shorthand Usage Guide
  108.    wt: 4:   Chapter 2 For and Against Mathematics
  109.    wt: 4:   Chapter 24 Direct and Indirect Reason
  110.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  111.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  112.    wt: 3:   2 arithmetic with signed numbers
  113.    wt: 3:   02 21 words for teachers
  114.    wt: 3:   02 20 mathematics education references
  115.    wt: 3:   B Energy Power02
  116.    wt: 3:   2 Conductance Resistance Duality02
  117.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  118.    wt: 3:   24 Standards For Skill Develoment Take II
  119.    wt: 3:   24 Standards For Skill Develoment
  120.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  121.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  122.    wt: 3:   12 Goals and Objectives For Mathematics
  123.    wt: 3:   2 Reading and Writing Skills
  124.    wt: 3:   26 Function definitions done and coming
  125.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  126.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  127.    wt: 3:   11 Growth and Decay in Biology
  128.    wt: 3:   10 Exponential Growth and Decay Models
  129.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  130.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  131.    wt: 3:   9 Summary Degrees to Radians and back
  132.    wt: 3:   4 graphing y=Asin(x c)
  133.    wt: 3:   3 graphing y=f(x c) plus K
  134.    wt: 3:   1 graphing y=f(x a)
  135.    wt: 3:   Parallel Lines and Interior Angles
  136.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  137.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  138.    wt: 3:   C Straight Lines Slope from Coordinates
  139.    wt: 3:   B Straight Line Slope Scaling Properties More
  140.    wt: 3:   A Straight Line Slope Scaling Properties
  141.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  142.    wt: 3:   12 Straight Lines Graphing mx plus b
  143.    wt: 3:   11 Straight Lines Graphing y=mx
  144.    wt: 3:   8 Straight Lines Equation for vertical
  145.    wt: 3:   7 Tangent Function is odd on this domain
  146.    wt: 3:   5 Tangent Function Graph
  147.    wt: 3:   4 Tangent Function Properties
  148.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  149.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  150.    wt: 3:   29 secant cosecant and cotangent for acute angles
  151.    wt: 3:   27 Logarithmic use of products of sines and cosines
  152.    wt: 3:   26 Formulas for products of sines and cosines
  153.    wt: 3:   21 sine and cosine Half Angle Formulas
  154.    wt: 3:   21 Logarithms Powers and Exponentials
  155.    wt: 3:   12 cis formulas for sine cosines and tangent
  156.    wt: 3:   12 Links Lessons elsewhere
  157.    wt: 3:   2 point slope equation for a line
  158.    wt: 3:   12 Spatial Coordinates
  159.    wt: 3:   2 Cartesian Coordinates with signs
  160.    wt: 3:   PS H Distributive Law For Complex Numbers
  161.    wt: 3:   PS G Rotation Distributes over Addition
  162.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  163.    wt: 3:   PS E Multiplication with Polar Coordinates
  164.    wt: 3:   PS D Addition with Cartesian Coordinates
  165.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  166.    wt: 3:   PS A Kite Construction Methods
  167.    wt: 3:   16 Angles Subtended By Chords and Diameters
  168.    wt: 3:   6 Ruler and compass Angle Bisection
  169.    wt: 3:   1 Initial Concepts and Terms
  170.    wt: 3:   22 Multiplication of Signed Numbers
  171.    wt: 3:   21 Addition of Multiples of a Single Vector
  172.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  173.    wt: 3:   13 Arrows and Vectors in a Plane
  174.    wt: 3:   12 Real Numbers Line Signed Coordinates
  175.    wt: 3:   11 Signed Number Addition and Addition Properties
  176.    wt: 3:   B Decimal Comparison and Subtraction
  177.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  178.    wt: 3:   6 Compound Interest Forward and Backwards
  179.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  180.    wt: 3:   6 Equations and Systems Equivalent or Implied
  181.    wt: 3:   4 Subtraction and Division Axioms
  182.    wt: 3:   1 Equivalent Computation Rules
  183.    wt: 3:   3 More and Less Than with Unlike Signs
  184.    wt: 3:   12 Real Number Additive Inverses or Negatives
  185.    wt: 3:   10 Real Number Lengths and Signs
  186.    wt: 3:   5 Independent versus Dependent Variables
  187.    wt: 3:   4 Changing Letters
  188.    wt: 3:   2 GE II Comparison
  189.    wt: 3:   6 Algebraic Solution Example
  190.    wt: 3:   5 Algebraic Solutions Introduction
  191.    wt: 3:   4 Four Examples Fractional Coefficients
  192.    wt: 3:   3 Four Examples
  193.    wt: 3:   1 Proper Equal Sign Usage
  194.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  195.    wt: 3:   2 Another Rectangle Area Formula Example
  196.    wt: 3:   1 Written work formats for developing and showing skill
  197.    wt: 3:   2 Square Roots with Prime
  198.    wt: 3:   1 Squares and Square Roots Introduction
  199.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  200.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 3:   8 GCD from Euclidean Algorithm
  202.    wt: 3:   7 GCD and LCM from prime factorization
  203.    wt: 3:   4 LCM of 8 and 10 via Prime
  204.    wt: 3:   2 Least Common Multiple LCM intro via list method
  205.    wt: 3:   3 Counting with Tables and Trees II
  206.    wt: 3:   1 Counting and Counting Methods I
  207.    wt: 3:   3 signed coordinates for maps and planes
  208.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  209.    wt: 3:   3 Multiplying Units and Numbers
  210.    wt: 3:   1 Addition and Subtraction with Units
  211.    wt: 3:   B Fractions and Two Term Ratios
  212.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  213.    wt: 3:   19 Dividing Fractions How TO
  214.    wt: 3:   17 Efficient Ways to Add and Subtract
  215.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  216.    wt: 3:   14 Adding and Subtracting with Like Denominators
  217.    wt: 3:   12 Fraction Comparison
  218.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  219.    wt: 3:   9 Improper Fractions and Mixed Numbers
  220.    wt: 3:   12 Adding Integers More Examples
  221.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  222.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  223.    wt: 3:   21 Remainder Arithmetic Modulo 3
  224.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  225.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  226.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  227.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  228.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  229.    wt: 3:   5 Remainder Arithmetic Modulo 5
  230.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  231.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  232.    wt: 3:   1 Remainder Arithmetic Modulo 10
  233.    wt: 3:   20 Uniqueness of Prime Factorization
  234.    wt: 3:   11 Another Single Digit Divisor Example
  235.    wt: 3:   9 Why Long Division Works Take II
  236.    wt: 3:   8 Correcting the Mistake
  237.    wt: 3:   7 Long Divison Mistake Catching
  238.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  239.    wt: 3:   5 Long Division Include Zeroes or not
  240.    wt: 3:   3 Division Single Digit Divisor Example
  241.    wt: 3:   1 Divsion Physical Examples
  242.    wt: 3:   D Decimal Multiplication Methods Derived
  243.    wt: 3:   C Counting Areas with Powers of Ten
  244.    wt: 3:   B Powers of Ten
  245.    wt: 3:   A Elementary Basis for Multiplication Methods
  246.    wt: 3:   6 Multiplication Commutes Order Not Important
  247.    wt: 3:   5 Decimal Fraction Multiplication
  248.    wt: 3:   3 More One Digit Multipliers
  249.    wt: 3:   1 Why 3 times 5 gives 15
  250.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  251.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  252.    wt: 3:   The 20 Times Table
  253.    wt: 3:   Example 2 volume of a cone
  254.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  255.    wt: 3:   Example 3
  256.    wt: 3:   Example 2
  257.    wt: 3:   Area Between Curves Lesson Take 2
  258.    wt: 3:   38 Formulas and derivatives for powers and roots
  259.    wt: 3:   22 Chain Rule for polynomials
  260.    wt: 3:   21 Chain Rule for powers
  261.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  262.    wt: 3:   14 sine and cosine derivatives 2nd step
  263.    wt: 3:   4 Sum Rule
  264.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  265.    wt: 3:   2 Algebraic codification
  266.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  267.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  268.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  269.    wt: 3:   Chapter 12. Units and Slopes
  270.    wt: 3:   Chapter 2. Slopes and Ski Trails
  271.    wt: 3:   Chapter 28 Occurrence Tables
  272.    wt: 3:   Chapter 25. Mathematical Induction Examples
  273.    wt: 3:   Chapter 23. Notation For Sums
  274.    wt: 3:   Chapter 21. Third Reading Guide
  275.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  276.    wt: 3:   Chapter 12 Four Phases
  277.    wt: 3:   Postscript B More on Story Telling and Reason
  278.    wt: 3:   Chapter 23 Truth Tables
  279.    wt: 3:   Chapter 21 Occurrence Tables
  280.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  281.    wt: 3:   Chapter 2 Skill Development
  282.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  283.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  284.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  285.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  286.    wt: 2:   Skills Chapter 2 Geometry
  287.    wt: 2:   7 logic review and decimals an odd combination
  288.    wt: 2:   5 logarithms and exponentials etc
  289.    wt: 2:   Applied Maths Program14092009 POMME variant
  290.    wt: 2:   geometric implications for algebra
  291.    wt: 2:   Lessening Algebra Difficulties
  292.    wt: 2:   the trouble with algebra
  293.    wt: 2:   three goals for Mathematics Education
  294.    wt: 2:   04 29 New Mathematics Curriculum
  295.    wt: 2:   04 25 when to stop or suspend mathemat
  296.    wt: 2:   fairness and inductive principles for instruction
  297.    wt: 2:   2 Energy Power Heat07
  298.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  299.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  300.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  301.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  302.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  303.    wt: 2:   Ages 12 to 14 Skills with take home value
  304.    wt: 2:   Ages 12 to 14 Geometry
  305.    wt: 2:   Ages 12 to 14 Arithmetic
  306.    wt: 2:   sign monoticity analysis example 2
  307.    wt: 2:   23 Inverse Functions
  308.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  309.    wt: 2:   20 Interchanging coordinates a reflection
  310.    wt: 2:   12 Function Domain Recognition Exercises
  311.    wt: 2:   2 Algebraic use of function notation
  312.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  313.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  314.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  315.    wt: 2:   5 Natural Logarithm Calculator Exercises
  316.    wt: 2:   1 Calculator Starter Exercises
  317.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  318.    wt: 2:   16 cotangent function Definition Graph and Inverse
  319.    wt: 2:   15 cosecant function Definition Graph and Inverse
  320.    wt: 2:   14 secant function Definition Graph and Inverse
  321.    wt: 2:   13 cosecant function Definition Graph and Inverse
  322.    wt: 2:   12 motivation for term arctan
  323.    wt: 2:   2 Radian Measure Numerical Value of one degree
  324.    wt: 2:   1 Degrees and Radians Introduction
  325.    wt: 2:   12 From Applied To Pure Mathematics
  326.    wt: 2:   2 Signed Coordinates
  327.    wt: 2:   Parallel Lines and Parallel Transversals
  328.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  329.    wt: 2:   Straight Lines ASA Intersection Study More
  330.    wt: 2:   14 Straight Lines Equations General Case
  331.    wt: 2:   10 Straight Lines through Origin Equations More
  332.    wt: 2:   9 Straight Lines through Origin Equations
  333.    wt: 2:   1 Straight Lines Slope Concept
  334.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  335.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  336.    wt: 2:   28 Expressing products of sines cosines as sums
  337.    wt: 2:   25 tangent double angle formula Slope connection
  338.    wt: 2:   24 tangent Angle Difference Formula
  339.    wt: 2:   20 sine and cosine Double Angle Formulas
  340.    wt: 2:   14 cosine even and sine and tangent are odd
  341.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  342.    wt: 2:   20 N th Roots of Complex Numbers
  343.    wt: 2:   2 Complex Numbers made easier we hope
  344.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  345.    wt: 2:   3 Trigonometric Ratios sine and cosine
  346.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  347.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  348.    wt: 2:   12 Triangles Similarity More Problems
  349.    wt: 2:   2 Similarity By Design
  350.    wt: 2:   10 Midpoint of [a b] and [b a]
  351.    wt: 2:   7 Exercises to test skill and concept mastery
  352.    wt: 2:   1 Numerical view of lines and their equations
  353.    wt: 2:   What is and is not here
  354.    wt: 2:   6 Polar Multiplication and Rotation
  355.    wt: 2:   5 Cartesian Addition and Translation
  356.    wt: 2:   4 Polar Coordinates to and from
  357.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  358.    wt: 2:   19 Right Triangle Similarity
  359.    wt: 2:   18 Triangle Similarity Take 1
  360.    wt: 2:   17 Right Bisectors of Triangle Sides
  361.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  362.    wt: 2:   14 Parallel Lines Postulate
  363.    wt: 2:   13 Angle Side Angle Failure
  364.    wt: 2:   11 Triangle Construction Fails
  365.    wt: 2:   10 Dropping a perpendicular to line
  366.    wt: 2:   9 Construction of a right bisector
  367.    wt: 2:   8 Isoceles Triangles
  368.    wt: 2:   7 Angle Side Angle
  369.    wt: 2:   5 Side Angle Side
  370.    wt: 2:   4 Side Side Side
  371.    wt: 2:   3 Isometry of Triangles Congruence
  372.    wt: 2:   Short Course on Euclidean Geometry
  373.    wt: 2:   3 Lengths and Areas on Maps and Plans
  374.    wt: 2:   A Modular and Remainder Arithmetic
  375.    wt: 2:   26 More Less Greater Than Comparison
  376.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  377.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  378.    wt: 2:   23 Distributive Law Two Derivations
  379.    wt: 2:   19 Signed Multiples of Vectors
  380.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  381.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  382.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  383.    wt: 2:   15 Head to Tails in place Addition Associative
  384.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  385.    wt: 2:   8 Division and Mulplication of Compound Fractions
  386.    wt: 2:   2 Counting Digits in Decimal Multiplication
  387.    wt: 2:   E Long Division Methods more
  388.    wt: 2:   D Long Division Methods
  389.    wt: 2:   C Three Decimal Subtraction Methods
  390.    wt: 2:   A Decimal Addition Columm Methods
  391.    wt: 2:   8 Column Multiplication Methods in General
  392.    wt: 2:   7 Decimals Multiplication Methods Examples
  393.    wt: 2:   6 Column Methods for Decimal Multiplication
  394.    wt: 2:   5 Distributive Law for Whole Numbers
  395.    wt: 2:   4 Commutative Law Groups Counting Form
  396.    wt: 2:   3 Multiplicative Counting Skills Principles
  397.    wt: 2:   1 The Counting Origins of Numbers
  398.    wt: 2:   2 Fraction Operations Physical Development
  399.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  400.    wt: 2:   5 Triangle Area Formula Backwards
  401.    wt: 2:   2 Linear Equation Literal Solution
  402.    wt: 2:   5 Equality in Algebra
  403.    wt: 2:   3 Product Axioms Two Forms
  404.    wt: 2:   5 Greater More Less Than Signs in General
  405.    wt: 2:   4 Comparison of Negative Numbers
  406.    wt: 2:   1 Real Numbers Comparison
  407.    wt: 2:   16 Real Numbers Comparison
  408.    wt: 2:   15 Real Number Division
  409.    wt: 2:   14 Real Number Multiplication
  410.    wt: 2:   13 Real Number Subtraction
  411.    wt: 2:   11 Real Number Addition
  412.    wt: 2:   8 Coordinates for Maps and Planes
  413.    wt: 2:   2 Integers
  414.    wt: 2:   1 Whole and Natural Numbers
  415.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  416.    wt: 2:   3 GE III Equation Addition and Multiplication
  417.    wt: 2:   4 Solving a triangular system exercise
  418.    wt: 2:   3 Solving triangular system example
  419.    wt: 2:   1 Essentially One Unknown
  420.    wt: 2:   Skill Development Notes
  421.    wt: 2:   10 One Example
  422.    wt: 2:   9 Three Examples
  423.    wt: 2:   8 One Example
  424.    wt: 2:   7 Two Examples
  425.    wt: 2:   6 Three Examples
  426.    wt: 2:   5 Three Examples
  427.    wt: 2:   4 Two Examples
  428.    wt: 2:   3 Two Examples
  429.    wt: 2:   13 Naming Identifying Formulas with Words
  430.    wt: 2:   11 Volume of Sphere
  431.    wt: 2:   10 Volume of Pyramid
  432.    wt: 2:   9 Volume of Cone
  433.    wt: 2:   8 Compound Interest Formula Evaluation
  434.    wt: 2:   7 Compound Interest Formula Introduction
  435.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  436.    wt: 2:   5 Box Volume Formula Example
  437.    wt: 2:   4 Circle Area Formula Example
  438.    wt: 2:   3 Triangle Area Formula Example
  439.    wt: 2:   9 Sets in Probability and Statistics
  440.    wt: 2:   2 Venn Diagrams
  441.    wt: 2:   5 Talking about Numbers and Quantities
  442.    wt: 2:   4 A Brief Story of numbers and algebra
  443.    wt: 2:   2 What is a Variable
  444.    wt: 2:   5 Square Roots with primes more still
  445.    wt: 2:   4 Square Roots with primes more
  446.    wt: 2:   3 Properties of Square Roots with example
  447.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  448.    wt: 2:   13 GCD from given Prime Factorization
  449.    wt: 2:   6 GCD from Prime
  450.    wt: 2:   5 Common Divisors 60 45 via Prime
  451.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  452.    wt: 2:   1 Least Common Multiples LCM Introduction
  453.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  454.    wt: 2:   4 Counting with Trees Product Rule Take I
  455.    wt: 2:   11 What are real lengths and numbers
  456.    wt: 2:   7 negative and additive inverse
  457.    wt: 2:   5 lengths and signs of numbers
  458.    wt: 2:   7 Converting or Changing Units
  459.    wt: 2:   6 Simplification of Fractions with Units
  460.    wt: 2:   4 Fractions with Units
  461.    wt: 2:   D Three Term Ratios
  462.    wt: 2:   18 Efficient Ways to Multiply
  463.    wt: 2:   16 Addition Subtraction Comparision Compared
  464.    wt: 2:   13 Fraction Comparison Algebraic View
  465.    wt: 2:   11 Simplification an Algebraic View
  466.    wt: 2:   8 Numerals Fractionals Quantals Take II
  467.    wt: 2:   7 Numerals Fractionals Quantals
  468.    wt: 2:   6 Multiplication of Mixed Numbers
  469.    wt: 2:   6 Multiplication Algebraically Take II
  470.    wt: 2:   5 Equivalent Fractions
  471.    wt: 2:   4 Fraction Multiplication
  472.    wt: 2:   3 Unit fraction of a fraction
  473.    wt: 2:   1 What is a fraction Take II
  474.    wt: 2:   1 What is a fraction
  475.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  476.    wt: 2:   13 Subtraction with Additive Inverse
  477.    wt: 2:   11 Adding Integers Formulas and Examples
  478.    wt: 2:   5 Zero Movement and Additive Inverses
  479.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  480.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  481.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  482.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  483.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  484.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  485.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  486.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  487.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  488.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  489.    wt: 2:   17 Identify and Count Factors using Primes
  490.    wt: 2:   15 video Factors of 20 using Prime Factorization
  491.    wt: 2:   14 video Factors of 24 Take II
  492.    wt: 2:   13 video Factors of 24 using prime
  493.    wt: 2:   10 video Prime Factorization upto 23 squared
  494.    wt: 2:   7 Calculator Usage Notes and Cautions
  495.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  496.    wt: 2:   5 Prime Factorization and a Square Rule
  497.    wt: 2:   3 video Primes and Composites from 9 times table
  498.    wt: 2:   11 Place Value SI Standard International way
  499.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  500.    wt: 2:   Quick history of numbers and algebra
  501.    wt: 2:   Exact Arithmetic Wholes and Fractions
  502.    wt: 2:   The 12 Times Table Visually
  503.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  504.    wt: 2:   2 Time and Date Matters in School
  505.    wt: 2:   Example 1 volume of a pyramid
  506.    wt: 2:   Volume of Solid by Cross Sections Lesson
  507.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  508.    wt: 2:   Example 4 with x function of y
  509.    wt: 2:   Example 1
  510.    wt: 2:   Area Between Curves Lesson Take 1
  511.    wt: 2:   Summary
  512.    wt: 2:   A Chain Rule Real Player video examples
  513.    wt: 2:   30Chain Rule A Proof
  514.    wt: 2:   29 Chain Rule Optional Reading
  515.    wt: 2:   28 Chain Rule Preparation for a Proof
  516.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  517.    wt: 2:   26 Chain Rule Recognising outer inner functions
  518.    wt: 2:   25 Chain Rule Animated Examples Continued
  519.    wt: 2:   24 Chain Rule Animated Examples
  520.    wt: 2:   23 Chain Rule in general
  521.    wt: 2:   20 Chain Rule for Pulley Systems
  522.    wt: 2:   17 Derivatives of quotients of sine and cosine
  523.    wt: 2:   15 sine and cosine derivatives 3rd step
  524.    wt: 2:   13 sine and cosine derivatives 1st step
  525.    wt: 2:   12 Quotient rule examples
  526.    wt: 2:   11 Quotient rule
  527.    wt: 2:   10 Power rule for negative integers
  528.    wt: 2:   9 Reciprocal rule
  529.    wt: 2:   8 Differentiation of polynomials
  530.    wt: 2:   7 Animated Differentiation Examples
  531.    wt: 2:   6 Power rule from product rule
  532.    wt: 2:   5 Product Rule
  533.    wt: 2:   3 Motivation for Limit Definition Take 2
  534.    wt: 2:   2 Motivation for Limit Definition Take 1
  535.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  536.    wt: 2:   11 Limits at infinity Three Examples
  537.    wt: 2:   9 Limits Continuity and Composition
  538.    wt: 2:   5 Jumps and absence of unlimited error control
  539.    wt: 2:   3 Decimal insights for limits continuity convergence
  540.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  541.    wt: 2:   Chapter 23 Links To Trigonometry
  542.    wt: 2:   Chapter 21 Arrow Addition
  543.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  544.    wt: 2:   Appendix E. How To Study Mathematics and Why
  545.    wt: 2:   Appendix D. What to do in School and Why
  546.    wt: 2:   Appendix B. How To Learn
  547.    wt: 2:   Chapter 31 Direct and Indirect Reason
  548.    wt: 2:   Chapter 19. Functions and Sets
  549.    wt: 2:   Chapter 18. Rules for Algebra
  550.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  551.    wt: 2:   Chapter 11. Why Shorthand
  552.    wt: 2:   Chapter 10 Describing and Changing Calculations
  553.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  554.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  555.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  556.    wt: 2:   Postscript C Consistency as a Tool for Reason
  557.    wt: 2:   Postscript A Story Telling
  558.    wt: 2:   Chapter 18 Sense and Knowledge
  559.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  560.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  561.    wt: 2:   Three Remarks
  562.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  563.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  564.    wt: 2:   O On Learning Mathematics and Science
  565.    wt: 2:   L Skills with take home value
  566.    wt: 2:   N Improving Marks on Tests and Finals
  567.    wt: 2:   J. More on written work and showing skill
  568.    wt: 2:   I. Logic and language skills
  569.    wt: 2:   H Jigsaw puzzles and problem solving
  570.    wt: 2:   G. Written work formats for developing and showing skill
  571.    wt: 2:   E. When and how to correct errors
  572.    wt: 2:   B. Domino effect of errors
  573.    wt: 2:   How to Build Skills and Confidence
  574.    wt: 2:   Chapter 2 Why Sets
  575.    wt: 2:   7 Games and Activities for Instruction
  576.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  577.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  578.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  579.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  580.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  581.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  582.    wt: 1:   Appendix 2 primary school Arithmetic 01
  583.    wt: 1:   Appendix 1 primary and preschool mathematic
  584.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  585.    wt: 1:   11 pure mathematics
  586.    wt: 1:   10 statistics
  587.    wt: 1:   9 combinatorics probability sets
  588.    wt: 1:   8 analytic geometry etc
  589.    wt: 1:   6 polynomials etc
  590.    wt: 1:   4 algebra
  591.    wt: 1:   3 Euclidean Geometry Leanly
  592.    wt: 1:   1 arithmetic with unsigned numbers
  593.    wt: 1:   What is POMME
  594.    wt: 1:   why bother
  595.    wt: 1:   About site lesson plans
  596.    wt: 1:   key notes and themes
  597.    wt: 1:   learning takes time
  598.    wt: 1:   what should be learnt and When
  599.    wt: 1:   Postscript 2007 01 10
  600.    wt: 1:   Maps Plans Drawings
  601.    wt: 1:   how letters appear
  602.    wt: 1:   Secondary Three Mathematics
  603.    wt: 1:   Secondary Two Mathematics
  604.    wt: 1:   Secondary One Mathematics
  605.    wt: 1:   talk the algebra talk
  606.    wt: 1:   three difficulties
  607.    wt: 1:   teaching tips
  608.    wt: 1:   What to Tell Students
  609.    wt: 1:   mathematics curriculum shifts
  610.    wt: 1:   teaching tutoring algebraic reason
  611.    wt: 1:   05 13 OldSiteEntrancePage
  612.    wt: 1:   three aims for mathematics students
  613.    wt: 1:   standards for course material
  614.    wt: 1:   Education in mathematics science and technology
  615.    wt: 1:   three kinds of reason in mathematics
  616.    wt: 1:   Motivation and Context Problem
  617.    wt: 1:   Prequel In For A Penny In For A Pound
  618.    wt: 1:   education an empirical art
  619.    wt: 1:   chapitre 12 00 les iles et division
  620.    wt: 1:   chapitre 04 05 Implication versus suggestion
  621.    wt: 1:   chapitre 04 02 Deuxieme enigme
  622.    wt: 1:   chapitre 04 00 Les regles d implication
  623.    wt: 1:   chapitre 02 00 La Communication des idees
  624.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  625.    wt: 1:   4 Energy Power Heat09
  626.    wt: 1:   3 Energy Power Heat08
  627.    wt: 1:   1 Energy Power Heat06
  628.    wt: 1:   E Energy Power05
  629.    wt: 1:   D Energy Power04
  630.    wt: 1:   C Energy Power03
  631.    wt: 1:   A Energy Power01
  632.    wt: 1:   D Wire Resistance Calculation02
  633.    wt: 1:   B Wire Resistance Qualitative02
  634.    wt: 1:   3 Like resistors in parallel
  635.    wt: 1:   2 Unlike resistors in parallel01
  636.    wt: 1:   H Series Circuit02
  637.    wt: 1:   C Electromotive force conventional current02
  638.    wt: 1:   Home Tutoring and Home Schooling
  639.    wt: 1:   17 Math Booklets for children and young teenagers
  640.    wt: 1:   14 Multiplication and Times Tables
  641.    wt: 1:   13 Addition and Addition Tables
  642.    wt: 1:   11 Help and Defend Your Child or Teens Education
  643.    wt: 1:   5 Patience Please for Yourself and Your Charges
  644.    wt: 1:   4 Learning Takes Time and Effort
  645.    wt: 1:   Ages 10 to 12 Geometry
  646.    wt: 1:   Ages 10 to 12 Arithmetic
  647.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  648.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  649.    wt: 1:   19 Horizontal line rule and method
  650.    wt: 1:   18 Vertical Line Rule and Method
  651.    wt: 1:   17 Function maxima minima and their location
  652.    wt: 1:   11 Function Domain Range Source and Targets
  653.    wt: 1:   8 Set view of relations and functions
  654.    wt: 1:   6 Set Existence Formation and Notation
  655.    wt: 1:   4 Function notation in and beyond mathematics
  656.    wt: 1:   9 quadratics physical and further context
  657.    wt: 1:   2 quadratics graphing in general
  658.    wt: 1:   2 Column Multiplication Method
  659.    wt: 1:   11 arctan left inverse of tangent Graph
  660.    wt: 1:   10 arctan left inverse of tangent Definition
  661.    wt: 1:   2 cosine function more properties
  662.    wt: 1:   8 Radian Measures of Common Angles
  663.    wt: 1:   7 Radian Measures in special Triangles
  664.    wt: 1:   6 Radian Measure to Degrees
  665.    wt: 1:   5 Degrees to Radian Measure
  666.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  667.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  668.    wt: 1:   A Global Time and Navigation
  669.    wt: 1:   15 Dot and Cross Product
  670.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  671.    wt: 1:   Vector and Complex Number Applet
  672.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  673.    wt: 1:   Triangle Angles Sum To 180 Degrees
  674.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  675.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  676.    wt: 1:   Straight Lines ASA Intersection Study
  677.    wt: 1:   Straight Lines Instersection Solving Equations
  678.    wt: 1:   Straight Lines Intersection of
  679.    wt: 1:   32 seven rows of pascals triangle
  680.    wt: 1:   30 unit circle calculation of six trigonometric functions
  681.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  682.    wt: 1:   17E Trig Formulas for dot and cross Products
  683.    wt: 1:   17D cis formulas for sine cosines and tangent
  684.    wt: 1:   17C sine and cosine double triple angle formulas
  685.    wt: 1:   12 Graph of tangent function for one period
  686.    wt: 1:   10 Graphs of sines and cosines many periods
  687.    wt: 1:   9 Graphs of sine and cosine over one period
  688.    wt: 1:   7 period of sine and cosine
  689.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  690.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  691.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  692.    wt: 1:   2 Quadrant I reference Angles
  693.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  694.    wt: 1:   16 References and Originality Question
  695.    wt: 1:   13 Trig Formulas for dot and cross Products
  696.    wt: 1:   11 sine and cosine double triple angle formulas
  697.    wt: 1:   8 Triangles Cascade Problem Solving
  698.    wt: 1:   7 Trignometric Ratios Unit Circle
  699.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  700.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  701.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  702.    wt: 1:   8 Similarity of Triangles and Polygons
  703.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  704.    wt: 1:   4 Similarity Definition with Coordinate
  705.    wt: 1:   Four Simple Exercises
  706.    wt: 1:   11 A Partial Summary
  707.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  708.    wt: 1:   8 Mid Point Formula
  709.    wt: 1:   6 Intersection of lines by solving linear systems
  710.    wt: 1:   5 Algebraic View of Slopes
  711.    wt: 1:   4 Equations for lines three forms
  712.    wt: 1:   3 Slope product for perpendicular lines
  713.    wt: 1:   13 Pythagorean spatial distance formulas
  714.    wt: 1:   11 Triangle Inequality
  715.    wt: 1:   10 Pythagorean plane distance formula
  716.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  717.    wt: 1:   8 Distance Between Points on a Line
  718.    wt: 1:   7 Complex Numbers Appetizer
  719.    wt: 1:   3 Rectangular Coordinates Review
  720.    wt: 1:   1 Cartesian Coordinates sans signs
  721.    wt: 1:   2 Measuring Area Directly
  722.    wt: 1:   musings do not puiblish real numbers
  723.    wt: 1:   A Signed Number Arithmetic Review
  724.    wt: 1:   9 Division with Digits after Decimal Point
  725.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  726.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  727.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  728.    wt: 1:   4 Location of Point in Decimal Addition
  729.    wt: 1:   3 Location of Point in Decimal Multiplication
  730.    wt: 1:   1 Fractions with Finite Decimal Expansions
  731.    wt: 1:   5 Areas of Rectangles Revisited
  732.    wt: 1:   4 Fraction Operations Axiomatic Development
  733.    wt: 1:   3 Inequalities Algebraically
  734.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  735.    wt: 1:   3 Linear Equation Literal Solution More
  736.    wt: 1:   1 Changing Calculations
  737.    wt: 1:   9 Coordinates for Regions in Space
  738.    wt: 1:   7 Real Numbers as Line Cordinates
  739.    wt: 1:   6 Unsigned Real Numbers
  740.    wt: 1:   5 Rational Numbers More
  741.    wt: 1:   4 Rational Numbers
  742.    wt: 1:   3 Fractions
  743.    wt: 1:   More Exercises
  744.    wt: 1:   Simple Exercises
  745.    wt: 1:   4 GE III Animated Examples
  746.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  747.    wt: 1:   1 GE Substitution four examples
  748.    wt: 1:   Using Letters for Physical Quantities
  749.    wt: 1:   Formula Usage Show Work Format
  750.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  751.    wt: 1:   8 Sets of Numbers
  752.    wt: 1:   7 Cautious or Safe Set Construction
  753.    wt: 1:   6 Power Set Notation
  754.    wt: 1:   5 Product Builder Notation
  755.    wt: 1:   4 Subset Builder Notation
  756.    wt: 1:   3 Counting with Sets etc
  757.    wt: 1:   1 Finite Sets
  758.    wt: 1:   6 Three Notions of What is a Variable
  759.    wt: 1:   3 Adding Words To Arithmetic
  760.    wt: 1:   1 Three Skills For Algebra
  761.    wt: 1:   About Folder Contents
  762.    wt: 1:   arithmetic videos Real Player Format
  763.    wt: 1:   10 dividing signed numbers
  764.    wt: 1:   9 subtracting signed numbers
  765.    wt: 1:   8 multiplying signed numbers
  766.    wt: 1:   6 adding signed numbers
  767.    wt: 1:   4 signed coordinates for regions in space
  768.    wt: 1:   D Remainders Modulo 11 Pair Rule
  769.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  770.    wt: 1:   B Integer Long Division Multiple Choices
  771.    wt: 1:   A Associative Law Theorectical Note
  772.    wt: 1:   10 Integer Multiplication Formulas
  773.    wt: 1:   9 Multiplying Integers
  774.    wt: 1:   8 Multiplication by Signed Numbers Integers
  775.    wt: 1:   7 Multiplication by Signs
  776.    wt: 1:   6 Multiplication by Natural Numbers
  777.    wt: 1:   4 Adding Movements wiht opposite directions
  778.    wt: 1:   3 Adding Movements with same direction
  779.    wt: 1:   1 Integers as Coordinates
  780.    wt: 1:   19 video Prime Factorization Unique
  781.    wt: 1:   18 video Count Factors given Prime Factorization
  782.    wt: 1:   16 video Factors of 980 using prime
  783.    wt: 1:   11 Efficient Square Rule Use
  784.    wt: 1:   9 video Prime Factorization upto 19 squared
  785.    wt: 1:   8 video Prime Factorization upto 19
  786.    wt: 1:   4 video Prime Factorization Introduction
  787.    wt: 1:   1 video how Products are bigger than factor
  788.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  789.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  790.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  791.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  792.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  793.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  794.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  795.    wt: 1:   Formula Evaluation how to show work
  796.    wt: 1:   Expression Evaluation how to show work
  797.    wt: 1:   About folder contents
  798.    wt: 1:   015 School and work day counting tables
  799.    wt: 1:   012 Division of Time Intervals by Time Intervals
  800.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  801.    wt: 1:   4 Mixing and Changing Units of Time
  802.    wt: 1:   3 Units and Lengths of Time
  803.    wt: 1:   2 Indefinite Integrals Exercises
  804.    wt: 1:   1 Chain Rule in Reverse Integration Method
  805.    wt: 1:   2 Second derivative test prequel
  806.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  807.    wt: 1:   36 Cube root derivative animated
  808.    wt: 1:   34 Derivative of exponential function
  809.    wt: 1:   33 Chain Rule Real Player video examples
  810.    wt: 1:   31 Derivatives of inverse functions
  811.    wt: 1:   19 Chain Rule for linear functions
  812.    wt: 1:   18 Chain Rule Introduction
  813.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  814.    wt: 1:   10 Three one sided limits with infinite values
  815.    wt: 1:   8 Four Animated Examples
  816.    wt: 1:   7 Evaluation by immediate or delayed substitution
  817.    wt: 1:   6 Continuity at a point
  818.    wt: 1:   4 Numerical properties
  819.    wt: 1:   1 Numerical introduction
  820.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  821.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  822.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  823.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  824.    wt: 1:   F.4 Finite Covering Theorem
  825.    wt: 1:   F.2 Closed Range Theorem
  826.    wt: 1:   E2 Algebraic Properties of Limits
  827.    wt: 1:   D2 Limits of Monotone Sequences
  828.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  829.    wt: 1:   PostScript For and Against Decimal Perspectives
  830.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  831.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  832.    wt: 1:   Chapter 10 Slopes and Units
  833.    wt: 1:   Chapter 7 Slopes and Velocity
  834.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  835.    wt: 1:   Fall 1983 Calculus Appetizer
  836.    wt: 1:   Postscript More on Better Performance
  837.    wt: 1:   Postscript For Better Performance
  838.    wt: 1:   Appendix C. How to Read
  839.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  840.    wt: 1:   Chapter 30 Truth Tables
  841.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  842.    wt: 1:   Chapter 16. Painless Theorem Proving
  843.    wt: 1:   Chapter 15. Solving Linear Equations
  844.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  845.    wt: 1:   Chapter 13. Second Reading Guide
  846.    wt: 1:   Postscript What is a Variable
  847.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  848.    wt: 1:   Chapter 8 Three Skills For Algebra
  849.    wt: 1:   Solutions For Arithmetic Exercises
  850.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  851.    wt: 1:   Chapter 6 Change of Language
  852.    wt: 1:   Chapter 4 Longer Chains of Reason
  853.    wt: 1:   Chapter 3 Chains of Reason
  854.    wt: 1:   Foreword
  855.    wt: 1:   Annotated Links to Material Elsehwere
  856.    wt: 1:   Postscript B Mathematics Education References
  857.    wt: 1:   Postscript A Three Remarks
  858.    wt: 1:   Chapter 11 Elementary Instruction
  859.    wt: 1:   Chapter 10 Transition
  860.    wt: 1:   Chapter 9 The Two Ends
  861.    wt: 1:   Chapter 8 Modern Instruction
  862.    wt: 1:   Chapter 7 Two Treatments of Geometry
  863.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  864.    wt: 1:   Chapter 5 Four References
  865.    wt: 1:   Chapter 3 Algebra Difficulties
  866.    wt: 1:   Chapter 1 Introduction
  867.    wt: 1:   Foreword
  868.    wt: 1:   Chapter 15 Objective Processes
  869.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  870.    wt: 1:   Chapter 11 Accidental Patterns
  871.    wt: 1:   Chapter 10 Responsibility
  872.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  873.    wt: 1:   Chapter 8 Change of Language
  874.    wt: 1:   Chapter 7 Longer Chains of Reason
  875.    wt: 1:   Chapter 6 Chains of Reason
  876.    wt: 1:   Chapter 5 Deception
  877.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  878.    wt: 1:   Chapter 1 Introduction
  879.    wt: 1:   Foreword
  880.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  881.    wt: 1:   S Adding words to algebra
  882.    wt: 1:   R Why Learn Mathematics Skills
  883.    wt: 1:   N Mathematics Prepare for College Studies
  884.    wt: 1:   M Words to extend arithmetic
  885.    wt: 1:   H more Routine to non routine problem solving
  886.    wt: 1:   F. The student teacher tutor feedback loop
  887.    wt: 1:   D. Check work a must with a caution
  888.    wt: 1:   C. Domino effect of being careful
  889.    wt: 1:   A. Skill has to be seen to believed
  890.    wt: 1:   Chapter 8 Skipped Topics and Why
  891.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  892.    wt: 1:   Chapter 6 More Algebra and Geometry
  893.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  894.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  895.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  896.    wt: 1:   Helping the Blind in Logic and Mathematics
  897.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  898.    wt: 1:   More Algebra and Slope based Calculus Preview
  899.    wt: 1:   The Math Forum and Site Content

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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