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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45 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 3:   A Origins of Counting and Figuring Methods/
  4.    wt: 3:   Step 4 Gaussian Elimination/
  5.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  6.    wt: 2:   12 Function Translating and Rescaling/
  7.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 2:   Step 1 Stick diagram and fractions/
  9.    wt: 2:   3 Solving Linear Equations/
  10.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 2:   A Decimal Counting and Adding Methods/
  12.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  13.    wt: 1:   LAMP Lean Applied Mathematics Program/
  14.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  15.    wt: 1:   Mathematics Education Essays/
  16.    wt: 1:   Volume 1A Regles et modeles/
  17.    wt: 1:   Mathematics Skills Year by Year/
  18.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  19.    wt: 1:   11 Parallel Straight Lines and Transversals/
  20.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  21.    wt: 1:   6 Trigonometry first steps/
  22.    wt: 1:   4 Lines and Slopes Take 1/
  23.    wt: 1:   3 Cartesian and Polar Coordinates/
  24.    wt: 1:   B Real Numbers Extrinsic Development/
  25.    wt: 1:   10 Examples of Algebraic Reasoning/
  26.    wt: 1:   8 Unifying Theme For Algebra/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   1 Working With Sets/
  29.    wt: 1:   9 Combinatorics Trees Tables and Products/
  30.    wt: 1:   5 Integers/
  31.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  32.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  33.    wt: 1:   5 Lessons on Integration/
  34.    wt: 1:   4 Lessons on Using Derivatives/
  35.    wt: 1:   38 Lessons on Calculating Derivatives/
  36.    wt: 1:   13 Lessons on Limits and Continuity/
  37.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  38.    wt: 1:   Volume 2 Three Skills For Algebra/
  39.    wt: 1:   Volume 1A Pattern Based Reason/
  40.    wt: 1:   Volume 1 Elements of Reason/
  41.    wt: 1:   Resources and Reciprocal Links/
  42.    wt: 1:   Mathematics 506 Lessons/
  43.    wt: 1:   Secondary Mathematics A Practical Approach/
  44.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  45.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

531 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 4:   16 Increasing or decreasing on intervals
  3.    wt: 4:   7 arcsin left inverse of sine Definition
  4.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  5.    wt: 4:   6 Intersection of lines by solving linear systems
  6.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  7.    wt: 4:   Helping the Blind in Logic and Mathematics
  8.    wt: 3:   J LAMP Introduction Extrinsic Origins
  9.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  10.    wt: 3:   mathematics instruction in general
  11.    wt: 3:   Different Kinds of Reasoning in maths
  12.    wt: 3:   three kinds of reason in mathematics
  13.    wt: 3:   fairness and inductive principles for instruction
  14.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  15.    wt: 3:   20 Interchanging coordinates a reflection
  16.    wt: 3:   8 arcsin left inverse of sine Graph
  17.    wt: 3:   3 Left Inverse of cosine arccos definition
  18.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  19.    wt: 3:   Straight Lines Instersection Solving Equations
  20.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  21.    wt: 3:   28 Expressing products of sines cosines as sums
  22.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  23.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  24.    wt: 3:   14 Adding and Subtracting with Like Denominators
  25.    wt: 3:   7 Adding decimal fractions using decimal point
  26.    wt: 3:   2 Indefinite Integrals Exercises
  27.    wt: 3:   1 Chain Rule in Reverse Integration Method
  28.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  29.    wt: 3:   26 Chain Rule Recognising outer inner functions
  30.    wt: 3:   H more Routine to non routine problem solving
  31.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  32.    wt: 2:   H LAMP Introduction Instructional Concepts
  33.    wt: 2:   G LAMP Introduction Problem Solving Skills
  34.    wt: 2:   E LAMP Introduction Modern Mathematics
  35.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  36.    wt: 2:   Ramblings Extrinsic numbers theory
  37.    wt: 2:   Ramblings Introduction Algebra Essay
  38.    wt: 2:   links Education Resources online
  39.    wt: 2:   grouping students according to ability
  40.    wt: 2:   mathematics in context
  41.    wt: 2:   mathematics curriculum shifts
  42.    wt: 2:   teaching tutoring algebraic reason
  43.    wt: 2:   04 29 New Mathematics Curriculum
  44.    wt: 2:   Education in mathematics science and technology
  45.    wt: 2:   cultivating intelligence
  46.    wt: 2:   need for a mixed mathematics curriculum
  47.    wt: 2:   Leaner mathematics curriculum
  48.    wt: 2:   Prequel In For A Penny In For A Pound
  49.    wt: 2:   words for mathematics instructor
  50.    wt: 2:   chapitre 07 01 principle D induction mathematique
  51.    wt: 2:   Home Tutoring and Home Schooling
  52.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  53.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  54.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  55.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  56.    wt: 2:   2 Reading and Writing Skills
  57.    wt: 2:   26 Function definitions done and coming
  58.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  59.    wt: 2:   7 Functions with finite domains
  60.    wt: 2:   4 Function notation in and beyond mathematics
  61.    wt: 2:   Introduction Reading Guide
  62.    wt: 2:   3 quadratics factoring by inspection
  63.    wt: 2:   2 quadratics graphing in general
  64.    wt: 2:   Quadratics in 10 steps
  65.    wt: 2:   8 Notes for instructors or tutors
  66.    wt: 2:   16 cotangent function Definition Graph and Inverse
  67.    wt: 2:   15 cosecant function Definition Graph and Inverse
  68.    wt: 2:   14 secant function Definition Graph and Inverse
  69.    wt: 2:   13 cosecant function Definition Graph and Inverse
  70.    wt: 2:   10 arctan left inverse of tangent Definition
  71.    wt: 2:   5 Swapping Coordinates is a reflection
  72.    wt: 2:   4 graphing y=Asin(x c)
  73.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  74.    wt: 2:   Parallel Lines and Interior Angles
  75.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  76.    wt: 2:   Straight Lines ASA Intersection Study More
  77.    wt: 2:   Straight Lines ASA Intersection Study
  78.    wt: 2:   Straight Lines Intersection of
  79.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  80.    wt: 2:   C Straight Lines Slope from Coordinates
  81.    wt: 2:   B Straight Line Slope Scaling Properties More
  82.    wt: 2:   A Straight Line Slope Scaling Properties
  83.    wt: 2:   12 Straight Lines Graphing mx plus b
  84.    wt: 2:   11 Straight Lines Graphing y=mx
  85.    wt: 2:   10 Straight Lines through Origin Equations More
  86.    wt: 2:   9 Straight Lines through Origin Equations
  87.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  88.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  89.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  90.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   27 Logarithmic use of products of sines and cosines
  92.    wt: 2:   26 Formulas for products of sines and cosines
  93.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  94.    wt: 2:   21 sine and cosine Half Angle Formulas
  95.    wt: 2:   20 sine and cosine Double Angle Formulas
  96.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  97.    wt: 2:   18 sum of sinusoidal waves as a single wave
  98.    wt: 2:   17D cis formulas for sine cosines and tangent
  99.    wt: 2:   17C sine and cosine double triple angle formulas
  100.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  101.    wt: 2:   15 sine cosine Complementary Angle Relations
  102.    wt: 2:   14 cosine even and sine and tangent are odd
  103.    wt: 2:   11 tangent function undefined when terminal side vertical
  104.    wt: 2:   10 Graphs of sines and cosines many periods
  105.    wt: 2:   9 Graphs of sine and cosine over one period
  106.    wt: 2:   7 period of sine and cosine
  107.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  108.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  109.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  110.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  111.    wt: 2:   12 cis formulas for sine cosines and tangent
  112.    wt: 2:   11 sine and cosine double triple angle formulas
  113.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  114.    wt: 2:   3 Trigonometric Ratios sine and cosine
  115.    wt: 2:   4 Similarity Definition with Coordinate
  116.    wt: 2:   2 point slope equation for a line
  117.    wt: 2:   8 Distance Between Points on a Line
  118.    wt: 2:   10 Dropping a perpendicular to line
  119.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  120.    wt: 2:   12 Real Numbers Line Signed Coordinates
  121.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  122.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  123.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  124.    wt: 2:   4 Location of Point in Decimal Addition
  125.    wt: 2:   3 Location of Point in Decimal Multiplication
  126.    wt: 2:   2 Counting Digits in Decimal Multiplication
  127.    wt: 2:   3 Multiplicative Counting Skills Principles
  128.    wt: 2:   2 Combing Counts Addition Skills and Principles
  129.    wt: 2:   1 The Counting Origins of Numbers
  130.    wt: 2:   9 Coordinates for Regions in Space
  131.    wt: 2:   7 Real Numbers as Line Cordinates
  132.    wt: 2:   13 Naming Identifying Formulas with Words
  133.    wt: 2:   7 Compound Interest Formula Introduction
  134.    wt: 2:   1 Written work formats for developing and showing skill
  135.    wt: 2:   1 Counting and Counting Methods I
  136.    wt: 2:   4 signed coordinates for regions in space
  137.    wt: 2:   7 Converting or Changing Units
  138.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  139.    wt: 2:   12 Adding Integers More Examples
  140.    wt: 2:   11 Adding Integers Formulas and Examples
  141.    wt: 2:   9 Multiplying Integers
  142.    wt: 2:   1 Integers as Coordinates
  143.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  144.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  145.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  146.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  147.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  148.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  149.    wt: 2:   6. Counting and adding units and mixed units
  150.    wt: 2:   1. Explaining Addition Table
  151.    wt: 2:   012 Division of Time Intervals by Time Intervals
  152.    wt: 2:   8 Addition of Time Intervals via subtotaling
  153.    wt: 2:   4 Mixing and Changing Units of Time
  154.    wt: 2:   A Related Material in Volume 3
  155.    wt: 2:   4 Definite Integrals Evaluation Exercises
  156.    wt: 2:   A Related lessons in Volume 3
  157.    wt: 2:   29 Chain Rule Optional Reading
  158.    wt: 2:   25 Chain Rule Animated Examples Continued
  159.    wt: 2:   23 Chain Rule in general
  160.    wt: 2:   19 Chain Rule for linear functions
  161.    wt: 2:   18 Chain Rule Introduction
  162.    wt: 2:   17 Derivatives of quotients of sine and cosine
  163.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  164.    wt: 2:   15 sine and cosine derivatives 3rd step
  165.    wt: 2:   14 sine and cosine derivatives 2nd step
  166.    wt: 2:   13 sine and cosine derivatives 1st step
  167.    wt: 2:   11 Limits at infinity Three Examples
  168.    wt: 2:   10 Three one sided limits with infinite values
  169.    wt: 2:   6 Continuity at a point
  170.    wt: 2:   3 Decimal insights for limits continuity convergence
  171.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  172.    wt: 2:   F.4 Finite Covering Theorem
  173.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  174.    wt: 2:   Chapter 16. Painless Theorem Proving
  175.    wt: 2:   Chapter 15. Solving Linear Equations
  176.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  177.    wt: 2:   Chapter 10 Describing and Changing Calculations
  178.    wt: 2:   Chapter 12 Four Phases
  179.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  180.    wt: 2:   Chapter 2 For and Against Mathematics
  181.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  182.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  183.    wt: 2:   O On Learning Mathematics and Science
  184.    wt: 2:   N Improving Marks on Tests and Finals
  185.    wt: 2:   G. Written work formats for developing and showing skill
  186.    wt: 2:   C. Domino effect of being careful
  187.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  188.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  189.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  190.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  191.    wt: 2:   Systematic Algebra Skill Development Missing Links
  192.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  193.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  194.    wt: 1:   K LAMP Musings Science Education
  195.    wt: 1:   I LAMP Introduction Study Habits
  196.    wt: 1:   F LAMP Introduction Prerequisites
  197.    wt: 1:   A Introduction Objectives
  198.    wt: 1:   Skills Chapter 0 Introduction
  199.    wt: 1:   11 pure mathematics
  200.    wt: 1:   9 combinatorics probability sets
  201.    wt: 1:   7 logic review and decimals an odd combination
  202.    wt: 1:   site origins
  203.    wt: 1:   key notes and themes
  204.    wt: 1:   Mathematics Education Professors
  205.    wt: 1:   learning takes time
  206.    wt: 1:   Education Reform Inconsistencies
  207.    wt: 1:   Maps Plans Drawings
  208.    wt: 1:   Secondary Three Mathematics
  209.    wt: 1:   Secondary Two Mathematics
  210.    wt: 1:   Secondary One Mathematics
  211.    wt: 1:   teaching tips
  212.    wt: 1:   Lessening Algebra Difficulties
  213.    wt: 1:   three goals for Mathematics Education
  214.    wt: 1:   02 20 mathematics education references
  215.    wt: 1:   three aims for mathematics students
  216.    wt: 1:   Operational Viewpoint to Value
  217.    wt: 1:   formal or informal peer review
  218.    wt: 1:   Four ways to improve education reform
  219.    wt: 1:   How to be a better instructor
  220.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  221.    wt: 1:   chapitre 06 00 Chaines de la raison
  222.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  223.    wt: 1:   chapitre 01 00 Introduction
  224.    wt: 1:   deux definitions pour variable
  225.    wt: 1:   3 Like resistors in parallel
  226.    wt: 1:   2 Unlike resistors in parallel01
  227.    wt: 1:   1 Like resistors in series
  228.    wt: 1:   F Unlike Resistors in Series
  229.    wt: 1:   22 Student Centered Highschool Mathematics
  230.    wt: 1:   18 Primary School Mathematics
  231.    wt: 1:   16 Secondary Mathematics Tips
  232.    wt: 1:   15 Counting For Parents
  233.    wt: 1:   12 Goals and Objectives For Mathematics
  234.    wt: 1:   10 Ends values for work study instruction
  235.    wt: 1:   9 Streaming by Student Cooperation
  236.    wt: 1:   4 Learning Takes Time and Effort
  237.    wt: 1:   3 Preparing for Science Studies
  238.    wt: 1:   1 Speaking Skills
  239.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  240.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  241.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  242.    wt: 1:   23 Inverse Functions
  243.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  244.    wt: 1:   19 Horizontal line rule and method
  245.    wt: 1:   18 Vertical Line Rule and Method
  246.    wt: 1:   17 Function maxima minima and their location
  247.    wt: 1:   14 Surjections Injections Bijections
  248.    wt: 1:   12 Function Domain Recognition Exercises
  249.    wt: 1:   11 Function Domain Range Source and Targets
  250.    wt: 1:   10 Interval Notation
  251.    wt: 1:   9 Set theory term relation possible origins
  252.    wt: 1:   3 Formula or function graphing exercise
  253.    wt: 1:   1 Geometric Introduction of Function Notation
  254.    wt: 1:   5 quadratics completing the square
  255.    wt: 1:   1 quadratics graphing exercises
  256.    wt: 1:   11 Growth and Decay in Biology
  257.    wt: 1:   7 Links Lessons Elsewhere
  258.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  259.    wt: 1:   4 Polynomials Long division linear divisor
  260.    wt: 1:   Rewriting algebraic substitution as function substitutions
  261.    wt: 1:   11 arctan left inverse of tangent Graph
  262.    wt: 1:   9 motivation for name arcsin
  263.    wt: 1:   2 cosine function more properties
  264.    wt: 1:   1 cosine function properties
  265.    wt: 1:   7 Radian Measures in special Triangles
  266.    wt: 1:   1 Degrees and Radians Introduction
  267.    wt: 1:   13 Velocity Vectors in Physics
  268.    wt: 1:   12 From Applied To Pure Mathematics
  269.    wt: 1:   9 Head to Tail Coordinate View
  270.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  271.    wt: 1:   6 Vectors with Coordinates
  272.    wt: 1:   2 Signed Coordinates
  273.    wt: 1:   1 Unsigned Coordinates
  274.    wt: 1:   3 graphing y=f(x c) plus K
  275.    wt: 1:   1 graphing y=f(x a)
  276.    wt: 1:   Parallel Lines and Parallel Transversals
  277.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  278.    wt: 1:   14 Straight Lines Equations General Case
  279.    wt: 1:   8 Straight Lines Equation for vertical
  280.    wt: 1:   7 Tangent Function is odd on this domain
  281.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  282.    wt: 1:   1 Straight Lines Slope Concept
  283.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  284.    wt: 1:   17F Law of cosines
  285.    wt: 1:   1 Unit Points Reflections Rotations
  286.    wt: 1:   16 References and Originality Question
  287.    wt: 1:   14 Law of cosines
  288.    wt: 1:   1 Rectangular Polar Coordinates Review
  289.    wt: 1:   8 Triangles Cascade Problem Solving
  290.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  291.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  292.    wt: 1:   11 Triangle Similarity Missing Side Problem
  293.    wt: 1:   6 Geometric Diagrams in Class
  294.    wt: 1:   3 Similarity by Design with coordinates
  295.    wt: 1:   Four Simple Exercises
  296.    wt: 1:   12 Links Lessons elsewhere
  297.    wt: 1:   10 Midpoint of [a b] and [b a]
  298.    wt: 1:   8 Mid Point Formula
  299.    wt: 1:   4 Equations for lines three forms
  300.    wt: 1:   3 Slope product for perpendicular lines
  301.    wt: 1:   1 Numerical view of lines and their equations
  302.    wt: 1:   12 Spatial Coordinates
  303.    wt: 1:   11 Triangle Inequality
  304.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  305.    wt: 1:   4 Polar Coordinates to and from
  306.    wt: 1:   3 Rectangular Coordinates Review
  307.    wt: 1:   2 Cartesian Coordinates with signs
  308.    wt: 1:   1 Cartesian Coordinates sans signs
  309.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  310.    wt: 1:   PS E Multiplication with Polar Coordinates
  311.    wt: 1:   PS D Addition with Cartesian Coordinates
  312.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  313.    wt: 1:   14 Parallel Lines Postulate
  314.    wt: 1:   1 Initial Concepts and Terms
  315.    wt: 1:   6 Figuring with Maps Not to Scale
  316.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  317.    wt: 1:   2 Measuring Area Directly
  318.    wt: 1:   musings do not puiblish real numbers
  319.    wt: 1:   A Modular and Remainder Arithmetic
  320.    wt: 1:   21 Addition of Multiples of a Single Vector
  321.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  322.    wt: 1:   15 Head to Tails in place Addition Associative
  323.    wt: 1:   13 Arrows and Vectors in a Plane
  324.    wt: 1:   9 Division with Digits after Decimal Point
  325.    wt: 1:   1 Fractions with Finite Decimal Expansions
  326.    wt: 1:   8 Column Multiplication Methods in General
  327.    wt: 1:   4 Commutative Law Groups Counting Form
  328.    wt: 1:   3 Inequalities Algebraically
  329.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  330.    wt: 1:   5 Proportionality in Equivalent Fractions
  331.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  332.    wt: 1:   6 Compound Interest Forward and Backwards
  333.    wt: 1:   3 Linear Equation Literal Solution More
  334.    wt: 1:   2 Linear Equation Literal Solution
  335.    wt: 1:   1 Changing Calculations
  336.    wt: 1:   5 Equality in Algebra
  337.    wt: 1:   5 Greater More Less Than Signs in General
  338.    wt: 1:   12 Real Number Additive Inverses or Negatives
  339.    wt: 1:   8 Coordinates for Maps and Planes
  340.    wt: 1:   2 Integers
  341.    wt: 1:   5 Independent versus Dependent Variables
  342.    wt: 1:   4 Changing Letters
  343.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  344.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  345.    wt: 1:   1 GE Substitution four examples
  346.    wt: 1:   4 Solving a triangular system exercise
  347.    wt: 1:   3 Solving triangular system example
  348.    wt: 1:   5 Algebraic Solutions Introduction
  349.    wt: 1:   4 Four Examples Fractional Coefficients
  350.    wt: 1:   3 Four Examples
  351.    wt: 1:   Skill Development Notes
  352.    wt: 1:   Using Letters for Physical Quantities
  353.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  354.    wt: 1:   11 Volume of Sphere
  355.    wt: 1:   10 Volume of Pyramid
  356.    wt: 1:   9 Volume of Cone
  357.    wt: 1:   8 Compound Interest Formula Evaluation
  358.    wt: 1:   5 Box Volume Formula Example
  359.    wt: 1:   9 Sets in Probability and Statistics
  360.    wt: 1:   3 Counting with Sets etc
  361.    wt: 1:   1 Finite Sets
  362.    wt: 1:   5 Talking about Numbers and Quantities
  363.    wt: 1:   3 Adding Words To Arithmetic
  364.    wt: 1:   4 Greater More Less Than Signs in General
  365.    wt: 1:   1 Squares and Square Roots Introduction
  366.    wt: 1:   2 Least Common Multiple LCM intro via list method
  367.    wt: 1:   1 Least Common Multiples LCM Introduction
  368.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  369.    wt: 1:   4 Counting with Trees Product Rule Take I
  370.    wt: 1:   3 Counting with Tables and Trees II
  371.    wt: 1:   2 Counting with Tables and Trees I
  372.    wt: 1:   10 dividing signed numbers
  373.    wt: 1:   9 subtracting signed numbers
  374.    wt: 1:   8 multiplying signed numbers
  375.    wt: 1:   7 negative and additive inverse
  376.    wt: 1:   6 adding signed numbers
  377.    wt: 1:   3 signed coordinates for maps and planes
  378.    wt: 1:   2 signed and unsigned numbers as coordinates
  379.    wt: 1:   3 Multiplying Units and Numbers
  380.    wt: 1:   21 Working With Signs
  381.    wt: 1:   20 Dividing Fractions the Why
  382.    wt: 1:   19 Dividing Fractions How TO
  383.    wt: 1:   D Remainders Modulo 11 Pair Rule
  384.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  385.    wt: 1:   B Integer Long Division Multiple Choices
  386.    wt: 1:   13 Subtraction with Additive Inverse
  387.    wt: 1:   10 Integer Multiplication Formulas
  388.    wt: 1:   8 Multiplication by Signed Numbers Integers
  389.    wt: 1:   5 Zero Movement and Additive Inverses
  390.    wt: 1:   4 Adding Movements wiht opposite directions
  391.    wt: 1:   3 Adding Movements with same direction
  392.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  393.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  394.    wt: 1:   23 Remainder Arithmetic Modulo 2
  395.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  396.    wt: 1:   21 Remainder Arithmetic Modulo 3
  397.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  398.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  399.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  400.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  401.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  402.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  403.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  404.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  405.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  406.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  407.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  408.    wt: 1:   5 Remainder Arithmetic Modulo 5
  409.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  410.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  411.    wt: 1:   1 Remainder Arithmetic Modulo 10
  412.    wt: 1:   17 Identify and Count Factors using Primes
  413.    wt: 1:   16 video Factors of 980 using prime
  414.    wt: 1:   15 video Factors of 20 using Prime Factorization
  415.    wt: 1:   13 video Factors of 24 using prime
  416.    wt: 1:   12 LCD GCD and LCM using Primes
  417.    wt: 1:   7 Calculator Usage Notes and Cautions
  418.    wt: 1:   4 video Prime Factorization Introduction
  419.    wt: 1:   11 Another Single Digit Divisor Example
  420.    wt: 1:   8 Correcting the Mistake
  421.    wt: 1:   7 Long Divison Mistake Catching
  422.    wt: 1:   5 Long Division Include Zeroes or not
  423.    wt: 1:   3 Division Single Digit Divisor Example
  424.    wt: 1:   2 Division with Single Digit Divisors
  425.    wt: 1:   C Counting Areas with Powers of Ten
  426.    wt: 1:   Video Power Notation in Decimal Expansion
  427.    wt: 1:   9 22 Minute Subtraction Review Video
  428.    wt: 1:   2 Decimal Counting Practices
  429.    wt: 1:   11 Place Value SI Standard International way
  430.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  431.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  432.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  433.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  434.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  435.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  436.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  437.    wt: 1:   016 Numbering Occidental Calendar Days
  438.    wt: 1:   015 School and work day counting tables
  439.    wt: 1:   014 Counting Days with Calendars
  440.    wt: 1:   011 Division of Time Intervals By Numbers
  441.    wt: 1:   010 Repeated Addition of Time Intervals
  442.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  443.    wt: 1:   7 Addition of Time Intervals
  444.    wt: 1:   2 Time and Date Matters in School
  445.    wt: 1:   1 Intro of Kids To Time Date Skills
  446.    wt: 1:   Example 2 volume of a cone
  447.    wt: 1:   Example 1 volume of a pyramid
  448.    wt: 1:   Volume of Solid by Cross Sections Lesson
  449.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  450.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  451.    wt: 1:   3 Two Chain Rule Method Exercises
  452.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  453.    wt: 1:   A Chain Rule Real Player video examples
  454.    wt: 1:   33 Chain Rule Real Player video examples
  455.    wt: 1:   31 Derivatives of inverse functions
  456.    wt: 1:   30Chain Rule A Proof
  457.    wt: 1:   28 Chain Rule Preparation for a Proof
  458.    wt: 1:   24 Chain Rule Animated Examples
  459.    wt: 1:   22 Chain Rule for polynomials
  460.    wt: 1:   21 Chain Rule for powers
  461.    wt: 1:   20 Chain Rule for Pulley Systems
  462.    wt: 1:   10 Power rule for negative integers
  463.    wt: 1:   3 Motivation for Limit Definition Take 2
  464.    wt: 1:   2 Motivation for Limit Definition Take 1
  465.    wt: 1:   9 Limits Continuity and Composition
  466.    wt: 1:   8 Four Animated Examples
  467.    wt: 1:   1 Numerical introduction
  468.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  469.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  470.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  471.    wt: 1:   F.5a Equicontinuity Theorems
  472.    wt: 1:   F.3 Intermediate Value Theorem
  473.    wt: 1:   F.1 What Functions are Continuous
  474.    wt: 1:   E1 Error Control Inequalities
  475.    wt: 1:   C Triangle Inequalities
  476.    wt: 1:   PostScript For and Against Decimal Perspectives
  477.    wt: 1:   A1. Introduction
  478.    wt: 1:   Chapter 23 Links To Trigonometry
  479.    wt: 1:   Chapter 18. Slopes Areas Integration
  480.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  481.    wt: 1:   Chapter 11. Graphing Slope versus Position
  482.    wt: 1:   Chapter 9 About First Courses in Calculus
  483.    wt: 1:   Chapter 8. Slope Interpretation
  484.    wt: 1:   Chapter 1.Introduction
  485.    wt: 1:   Appendix E. How To Study Mathematics and Why
  486.    wt: 1:   Appendix D. What to do in School and Why
  487.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  488.    wt: 1:   Chapter 31 Direct and Indirect Reason
  489.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  490.    wt: 1:   Chapter 25. Mathematical Induction Examples
  491.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  492.    wt: 1:   Chapter 21. Third Reading Guide
  493.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  494.    wt: 1:   Chapter 13. Second Reading Guide
  495.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  496.    wt: 1:   Chapter 4 Longer Chains of Reason
  497.    wt: 1:   Chapter 3 Chains of Reason
  498.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  499.    wt: 1:   Annotated Links to Material Elsehwere
  500.    wt: 1:   Postscript B Mathematics Education References
  501.    wt: 1:   Chapter 11 Elementary Instruction
  502.    wt: 1:   Chapter 8 Modern Instruction
  503.    wt: 1:   Chapter 5 Four References
  504.    wt: 1:   Chapter 1 Introduction
  505.    wt: 1:   Postscript B More on Story Telling and Reason
  506.    wt: 1:   Postscript A Story Telling
  507.    wt: 1:   Chapter 24 Direct and Indirect Reason
  508.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  509.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  510.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  511.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  512.    wt: 1:   Chapter 7 Longer Chains of Reason
  513.    wt: 1:   Chapter 6 Chains of Reason
  514.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  515.    wt: 1:   Chapter 1 Introduction
  516.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  517.    wt: 1:   S Adding words to algebra
  518.    wt: 1:   R Why Learn Mathematics Skills
  519.    wt: 1:   N Mathematics Prepare for College Studies
  520.    wt: 1:   J. More on written work and showing skill
  521.    wt: 1:   H Jigsaw puzzles and problem solving
  522.    wt: 1:   B. Domino effect of errors
  523.    wt: 1:   7 Games and Activities for Instruction
  524.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  525.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  526.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  527.    wt: 1:   Mathematics Education References
  528.    wt: 1:   Mathematics Education References
  529.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  530.    wt: 1:   Implementation Notes
  531.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

833 matches:

  1.    wt: 8:   Chapter 12 Four Phases
  2.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  3.    wt: 8:   Chapter 2 For and Against Mathematics
  4.    wt: 7:   Annotated Links to Material Elsehwere
  5.    wt: 7:   Postscript B Mathematics Education References
  6.    wt: 7:   Chapter 11 Elementary Instruction
  7.    wt: 7:   Chapter 8 Modern Instruction
  8.    wt: 7:   Chapter 5 Four References
  9.    wt: 7:   Chapter 1 Introduction
  10.    wt: 6:   Straight Lines Instersection Solving Equations
  11.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  12.    wt: 6:   Postscript A Three Remarks
  13.    wt: 6:   Chapter 10 Transition
  14.    wt: 6:   Chapter 9 The Two Ends
  15.    wt: 6:   Chapter 7 Two Treatments of Geometry
  16.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  17.    wt: 6:   Chapter 3 Algebra Difficulties
  18.    wt: 6:   Foreword
  19.    wt: 5:   7 arcsin left inverse of sine Definition
  20.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  21.    wt: 5:   Straight Lines ASA Intersection Study More
  22.    wt: 5:   Straight Lines ASA Intersection Study
  23.    wt: 5:   Straight Lines Intersection of
  24.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  25.    wt: 5:   6 Intersection of lines by solving linear systems
  26.    wt: 5:   3 Multiplicative Counting Skills Principles
  27.    wt: 5:   2 Combing Counts Addition Skills and Principles
  28.    wt: 5:   1 The Counting Origins of Numbers
  29.    wt: 5:   7 Adding decimal fractions using decimal point
  30.    wt: 5:   4 Money Matters Saving Earning Buying Selling and Budgets
  31.    wt: 5:   Helping the Blind in Logic and Mathematics
  32.    wt: 4:   J LAMP Introduction Extrinsic Origins
  33.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  34.    wt: 4:   mathematics instruction in general
  35.    wt: 4:   Different Kinds of Reasoning in maths
  36.    wt: 4:   three kinds of reason in mathematics
  37.    wt: 4:   fairness and inductive principles for instruction
  38.    wt: 4:   16 Increasing or decreasing on intervals
  39.    wt: 4:   8 arcsin left inverse of sine Graph
  40.    wt: 4:   3 Left Inverse of cosine arccos definition
  41.    wt: 4:   4 graphing y=Asin(x c)
  42.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  43.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  44.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  45.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  46.    wt: 4:   8 Column Multiplication Methods in General
  47.    wt: 4:   4 Commutative Law Groups Counting Form
  48.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  49.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  50.    wt: 4:   1 GE Substitution four examples
  51.    wt: 4:   4 Solving a triangular system exercise
  52.    wt: 4:   3 Solving triangular system example
  53.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  54.    wt: 4:   6. Counting and adding units and mixed units
  55.    wt: 4:   1. Explaining Addition Table
  56.    wt: 4:   2 Indefinite Integrals Exercises
  57.    wt: 4:   1 Chain Rule in Reverse Integration Method
  58.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  59.    wt: 4:   26 Chain Rule Recognising outer inner functions
  60.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  61.    wt: 3:   H LAMP Introduction Instructional Concepts
  62.    wt: 3:   G LAMP Introduction Problem Solving Skills
  63.    wt: 3:   E LAMP Introduction Modern Mathematics
  64.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  65.    wt: 3:   Ramblings Extrinsic numbers theory
  66.    wt: 3:   Ramblings Introduction Algebra Essay
  67.    wt: 3:   links Education Resources online
  68.    wt: 3:   grouping students according to ability
  69.    wt: 3:   mathematics in context
  70.    wt: 3:   mathematics curriculum shifts
  71.    wt: 3:   teaching tutoring algebraic reason
  72.    wt: 3:   04 29 New Mathematics Curriculum
  73.    wt: 3:   Education in mathematics science and technology
  74.    wt: 3:   cultivating intelligence
  75.    wt: 3:   need for a mixed mathematics curriculum
  76.    wt: 3:   Leaner mathematics curriculum
  77.    wt: 3:   Prequel In For A Penny In For A Pound
  78.    wt: 3:   words for mathematics instructor
  79.    wt: 3:   chapitre 07 01 principle D induction mathematique
  80.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  81.    wt: 3:   20 Interchanging coordinates a reflection
  82.    wt: 3:   16 cotangent function Definition Graph and Inverse
  83.    wt: 3:   15 cosecant function Definition Graph and Inverse
  84.    wt: 3:   14 secant function Definition Graph and Inverse
  85.    wt: 3:   13 cosecant function Definition Graph and Inverse
  86.    wt: 3:   10 arctan left inverse of tangent Definition
  87.    wt: 3:   5 Swapping Coordinates is a reflection
  88.    wt: 3:   3 graphing y=f(x c) plus K
  89.    wt: 3:   1 graphing y=f(x a)
  90.    wt: 3:   Parallel Lines and Interior Angles
  91.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  92.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  93.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  94.    wt: 3:   C Straight Lines Slope from Coordinates
  95.    wt: 3:   B Straight Line Slope Scaling Properties More
  96.    wt: 3:   A Straight Line Slope Scaling Properties
  97.    wt: 3:   12 Straight Lines Graphing mx plus b
  98.    wt: 3:   11 Straight Lines Graphing y=mx
  99.    wt: 3:   10 Straight Lines through Origin Equations More
  100.    wt: 3:   9 Straight Lines through Origin Equations
  101.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  102.    wt: 3:   28 Expressing products of sines cosines as sums
  103.    wt: 3:   3 Trigonometric Ratios sine and cosine
  104.    wt: 3:   2 point slope equation for a line
  105.    wt: 3:   8 Distance Between Points on a Line
  106.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  107.    wt: 3:   12 Real Numbers Line Signed Coordinates
  108.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  109.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  110.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  111.    wt: 3:   4 Location of Point in Decimal Addition
  112.    wt: 3:   3 Location of Point in Decimal Multiplication
  113.    wt: 3:   2 Counting Digits in Decimal Multiplication
  114.    wt: 3:   E Long Division Methods more
  115.    wt: 3:   D Long Division Methods
  116.    wt: 3:   C Three Decimal Subtraction Methods
  117.    wt: 3:   B Decimal Comparison and Subtraction
  118.    wt: 3:   A Decimal Addition Columm Methods
  119.    wt: 3:   7 Decimals Multiplication Methods Examples
  120.    wt: 3:   6 Column Methods for Decimal Multiplication
  121.    wt: 3:   5 Distributive Law for Whole Numbers
  122.    wt: 3:   4 GE III Animated Examples
  123.    wt: 3:   3 GE III Equation Addition and Multiplication
  124.    wt: 3:   2 GE II Comparison
  125.    wt: 3:   2 Essentially one exercises three with solution
  126.    wt: 3:   1 Essentially One Unknown
  127.    wt: 3:   5 Algebraic Solutions Introduction
  128.    wt: 3:   4 Four Examples Fractional Coefficients
  129.    wt: 3:   3 Four Examples
  130.    wt: 3:   Skill Development Notes
  131.    wt: 3:   Using Letters for Physical Quantities
  132.    wt: 3:   1 Counting and Counting Methods I
  133.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  134.    wt: 3:   14 Adding and Subtracting with Like Denominators
  135.    wt: 3:   12 Adding Integers More Examples
  136.    wt: 3:   11 Adding Integers Formulas and Examples
  137.    wt: 3:   9 Multiplying Integers
  138.    wt: 3:   1 Integers as Coordinates
  139.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  140.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  141.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  142.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  143.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  144.    wt: 3:   9 22 Minute Subtraction Review Video
  145.    wt: 3:   2 Decimal Counting Practices
  146.    wt: 3:   A Related Material in Volume 3
  147.    wt: 3:   4 Definite Integrals Evaluation Exercises
  148.    wt: 3:   A Related lessons in Volume 3
  149.    wt: 3:   29 Chain Rule Optional Reading
  150.    wt: 3:   25 Chain Rule Animated Examples Continued
  151.    wt: 3:   23 Chain Rule in general
  152.    wt: 3:   19 Chain Rule for linear functions
  153.    wt: 3:   18 Chain Rule Introduction
  154.    wt: 3:   17 Derivatives of quotients of sine and cosine
  155.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  156.    wt: 3:   15 sine and cosine derivatives 3rd step
  157.    wt: 3:   14 sine and cosine derivatives 2nd step
  158.    wt: 3:   13 sine and cosine derivatives 1st step
  159.    wt: 3:   11 Limits at infinity Three Examples
  160.    wt: 3:   10 Three one sided limits with infinite values
  161.    wt: 3:   6 Continuity at a point
  162.    wt: 3:   3 Decimal insights for limits continuity convergence
  163.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  164.    wt: 3:   F.4 Finite Covering Theorem
  165.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  166.    wt: 3:   Chapter 23 Links To Trigonometry
  167.    wt: 3:   Chapter 18. Slopes Areas Integration
  168.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  169.    wt: 3:   Chapter 11. Graphing Slope versus Position
  170.    wt: 3:   Chapter 9 About First Courses in Calculus
  171.    wt: 3:   Chapter 8. Slope Interpretation
  172.    wt: 3:   Chapter 1.Introduction
  173.    wt: 3:   Chapter 16. Painless Theorem Proving
  174.    wt: 3:   Chapter 15. Solving Linear Equations
  175.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  176.    wt: 3:   Chapter 10 Describing and Changing Calculations
  177.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  178.    wt: 3:   H more Routine to non routine problem solving
  179.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  180.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  181.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  182.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  183.    wt: 3:   Systematic Algebra Skill Development Missing Links
  184.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  185.    wt: 2:   K LAMP Musings Science Education
  186.    wt: 2:   I LAMP Introduction Study Habits
  187.    wt: 2:   F LAMP Introduction Prerequisites
  188.    wt: 2:   A Introduction Objectives
  189.    wt: 2:   Skills Chapter 0 Introduction
  190.    wt: 2:   11 pure mathematics
  191.    wt: 2:   9 combinatorics probability sets
  192.    wt: 2:   7 logic review and decimals an odd combination
  193.    wt: 2:   site origins
  194.    wt: 2:   key notes and themes
  195.    wt: 2:   Mathematics Education Professors
  196.    wt: 2:   learning takes time
  197.    wt: 2:   Education Reform Inconsistencies
  198.    wt: 2:   Maps Plans Drawings
  199.    wt: 2:   Secondary Three Mathematics
  200.    wt: 2:   Secondary Two Mathematics
  201.    wt: 2:   Secondary One Mathematics
  202.    wt: 2:   teaching tips
  203.    wt: 2:   Lessening Algebra Difficulties
  204.    wt: 2:   three goals for Mathematics Education
  205.    wt: 2:   02 20 mathematics education references
  206.    wt: 2:   three aims for mathematics students
  207.    wt: 2:   Operational Viewpoint to Value
  208.    wt: 2:   formal or informal peer review
  209.    wt: 2:   Four ways to improve education reform
  210.    wt: 2:   How to be a better instructor
  211.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  212.    wt: 2:   chapitre 06 00 Chaines de la raison
  213.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  214.    wt: 2:   chapitre 01 00 Introduction
  215.    wt: 2:   Home Tutoring and Home Schooling
  216.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  217.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  218.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  219.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  220.    wt: 2:   2 Reading and Writing Skills
  221.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  222.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  223.    wt: 2:   26 Function definitions done and coming
  224.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  225.    wt: 2:   7 Functions with finite domains
  226.    wt: 2:   4 Function notation in and beyond mathematics
  227.    wt: 2:   Introduction Reading Guide
  228.    wt: 2:   3 quadratics factoring by inspection
  229.    wt: 2:   2 quadratics graphing in general
  230.    wt: 2:   Quadratics in 10 steps
  231.    wt: 2:   8 Notes for instructors or tutors
  232.    wt: 2:   11 arctan left inverse of tangent Graph
  233.    wt: 2:   9 motivation for name arcsin
  234.    wt: 2:   2 cosine function more properties
  235.    wt: 2:   1 cosine function properties
  236.    wt: 2:   Parallel Lines and Parallel Transversals
  237.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  238.    wt: 2:   14 Straight Lines Equations General Case
  239.    wt: 2:   8 Straight Lines Equation for vertical
  240.    wt: 2:   7 Tangent Function is odd on this domain
  241.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  242.    wt: 2:   1 Straight Lines Slope Concept
  243.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  244.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  245.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  246.    wt: 2:   27 Logarithmic use of products of sines and cosines
  247.    wt: 2:   26 Formulas for products of sines and cosines
  248.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  249.    wt: 2:   21 sine and cosine Half Angle Formulas
  250.    wt: 2:   20 sine and cosine Double Angle Formulas
  251.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  252.    wt: 2:   18 sum of sinusoidal waves as a single wave
  253.    wt: 2:   17D cis formulas for sine cosines and tangent
  254.    wt: 2:   17C sine and cosine double triple angle formulas
  255.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  256.    wt: 2:   15 sine cosine Complementary Angle Relations
  257.    wt: 2:   14 cosine even and sine and tangent are odd
  258.    wt: 2:   11 tangent function undefined when terminal side vertical
  259.    wt: 2:   10 Graphs of sines and cosines many periods
  260.    wt: 2:   9 Graphs of sine and cosine over one period
  261.    wt: 2:   7 period of sine and cosine
  262.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  263.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  264.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  265.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  266.    wt: 2:   12 cis formulas for sine cosines and tangent
  267.    wt: 2:   11 sine and cosine double triple angle formulas
  268.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  269.    wt: 2:   8 Triangles Cascade Problem Solving
  270.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  271.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  272.    wt: 2:   4 Similarity Definition with Coordinate
  273.    wt: 2:   Four Simple Exercises
  274.    wt: 2:   12 Links Lessons elsewhere
  275.    wt: 2:   10 Midpoint of [a b] and [b a]
  276.    wt: 2:   8 Mid Point Formula
  277.    wt: 2:   4 Equations for lines three forms
  278.    wt: 2:   3 Slope product for perpendicular lines
  279.    wt: 2:   1 Numerical view of lines and their equations
  280.    wt: 2:   12 Spatial Coordinates
  281.    wt: 2:   11 Triangle Inequality
  282.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  283.    wt: 2:   4 Polar Coordinates to and from
  284.    wt: 2:   3 Rectangular Coordinates Review
  285.    wt: 2:   2 Cartesian Coordinates with signs
  286.    wt: 2:   1 Cartesian Coordinates sans signs
  287.    wt: 2:   10 Dropping a perpendicular to line
  288.    wt: 2:   musings do not puiblish real numbers
  289.    wt: 2:   A Modular and Remainder Arithmetic
  290.    wt: 2:   21 Addition of Multiples of a Single Vector
  291.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  292.    wt: 2:   15 Head to Tails in place Addition Associative
  293.    wt: 2:   13 Arrows and Vectors in a Plane
  294.    wt: 2:   9 Division with Digits after Decimal Point
  295.    wt: 2:   1 Fractions with Finite Decimal Expansions
  296.    wt: 2:   3 Inequalities Algebraically
  297.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  298.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  299.    wt: 2:   6 Compound Interest Forward and Backwards
  300.    wt: 2:   3 Linear Equation Literal Solution More
  301.    wt: 2:   2 Linear Equation Literal Solution
  302.    wt: 2:   1 Changing Calculations
  303.    wt: 2:   5 Greater More Less Than Signs in General
  304.    wt: 2:   9 Coordinates for Regions in Space
  305.    wt: 2:   7 Real Numbers as Line Cordinates
  306.    wt: 2:   More Exercises
  307.    wt: 2:   Simple Exercises
  308.    wt: 2:   6 Algebraic Solution Example
  309.    wt: 2:   2 Three Examples
  310.    wt: 2:   1 Proper Equal Sign Usage
  311.    wt: 2:   10 One Example
  312.    wt: 2:   9 Three Examples
  313.    wt: 2:   8 One Example
  314.    wt: 2:   7 Two Examples
  315.    wt: 2:   6 Three Examples
  316.    wt: 2:   5 Three Examples
  317.    wt: 2:   4 Two Examples
  318.    wt: 2:   3 Two Examples
  319.    wt: 2:   2 Three Examples
  320.    wt: 2:   Formula Usage Show Work Format
  321.    wt: 2:   13 Naming Identifying Formulas with Words
  322.    wt: 2:   7 Compound Interest Formula Introduction
  323.    wt: 2:   1 Written work formats for developing and showing skill
  324.    wt: 2:   9 Sets in Probability and Statistics
  325.    wt: 2:   3 Counting with Sets etc
  326.    wt: 2:   1 Finite Sets
  327.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  328.    wt: 2:   4 Counting with Trees Product Rule Take I
  329.    wt: 2:   3 Counting with Tables and Trees II
  330.    wt: 2:   2 Counting with Tables and Trees I
  331.    wt: 2:   4 signed coordinates for regions in space
  332.    wt: 2:   7 Converting or Changing Units
  333.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  334.    wt: 2:   D Remainders Modulo 11 Pair Rule
  335.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  336.    wt: 2:   B Integer Long Division Multiple Choices
  337.    wt: 2:   13 Subtraction with Additive Inverse
  338.    wt: 2:   10 Integer Multiplication Formulas
  339.    wt: 2:   8 Multiplication by Signed Numbers Integers
  340.    wt: 2:   5 Zero Movement and Additive Inverses
  341.    wt: 2:   4 Adding Movements wiht opposite directions
  342.    wt: 2:   3 Adding Movements with same direction
  343.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  344.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  345.    wt: 2:   23 Remainder Arithmetic Modulo 2
  346.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  347.    wt: 2:   21 Remainder Arithmetic Modulo 3
  348.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  349.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  350.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  351.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  352.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  353.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  354.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  355.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  356.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  357.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  358.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  359.    wt: 2:   5 Remainder Arithmetic Modulo 5
  360.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  361.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  362.    wt: 2:   1 Remainder Arithmetic Modulo 10
  363.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  364.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  365.    wt: 2:   Subtraction with J Conversions Example
  366.    wt: 2:   Subtraction Another Video Lesson
  367.    wt: 2:   8 Subtraction with Units of Measure
  368.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  369.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  370.    wt: 2:   5 A Tip for Efficent Subtraction
  371.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  372.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  373.    wt: 2:   2 Subtraction Easy Case Examples
  374.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  375.    wt: 2:   8 What skills and work habits to require
  376.    wt: 2:   5. How to add decimals C. Examples
  377.    wt: 2:   4. How to add with decimals B with conversions
  378.    wt: 2:   3. How to add with decimals A sans conversions
  379.    wt: 2:   012 Division of Time Intervals by Time Intervals
  380.    wt: 2:   8 Addition of Time Intervals via subtotaling
  381.    wt: 2:   4 Mixing and Changing Units of Time
  382.    wt: 2:   Example 2 volume of a cone
  383.    wt: 2:   Example 1 volume of a pyramid
  384.    wt: 2:   Volume of Solid by Cross Sections Lesson
  385.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  386.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  387.    wt: 2:   3 Two Chain Rule Method Exercises
  388.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  389.    wt: 2:   A Chain Rule Real Player video examples
  390.    wt: 2:   33 Chain Rule Real Player video examples
  391.    wt: 2:   31 Derivatives of inverse functions
  392.    wt: 2:   30Chain Rule A Proof
  393.    wt: 2:   28 Chain Rule Preparation for a Proof
  394.    wt: 2:   24 Chain Rule Animated Examples
  395.    wt: 2:   22 Chain Rule for polynomials
  396.    wt: 2:   21 Chain Rule for powers
  397.    wt: 2:   20 Chain Rule for Pulley Systems
  398.    wt: 2:   10 Power rule for negative integers
  399.    wt: 2:   3 Motivation for Limit Definition Take 2
  400.    wt: 2:   2 Motivation for Limit Definition Take 1
  401.    wt: 2:   9 Limits Continuity and Composition
  402.    wt: 2:   8 Four Animated Examples
  403.    wt: 2:   1 Numerical introduction
  404.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  405.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  406.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  407.    wt: 2:   F.5a Equicontinuity Theorems
  408.    wt: 2:   F.3 Intermediate Value Theorem
  409.    wt: 2:   F.1 What Functions are Continuous
  410.    wt: 2:   E1 Error Control Inequalities
  411.    wt: 2:   C Triangle Inequalities
  412.    wt: 2:   PostScript For and Against Decimal Perspectives
  413.    wt: 2:   A1. Introduction
  414.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  415.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  416.    wt: 2:   Chapter 22 Complex Numbers
  417.    wt: 2:   Chapter 21 Arrow Addition
  418.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  419.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  420.    wt: 2:   Chapter 17. Area Approximation
  421.    wt: 2:   Chapter 16. Velocity Approximation
  422.    wt: 2:   Chapter 15. Slope Approximation
  423.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  424.    wt: 2:   Chapter 13. Acceleration
  425.    wt: 2:   Chapter 12. Units and Slopes
  426.    wt: 2:   Chapter 10 Slopes and Units
  427.    wt: 2:   Chapter 7 Slopes and Velocity
  428.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  429.    wt: 2:   Chapter 5. Slope Sign Tests
  430.    wt: 2:   Chapter 4. More Slope Sign Analysis
  431.    wt: 2:   Chapter 3. Slope Sign Analysis
  432.    wt: 2:   Chapter 2. Slopes and Ski Trails
  433.    wt: 2:   Fall 1983 Calculus Appetizer
  434.    wt: 2:   Foreword
  435.    wt: 2:   Appendix E. How To Study Mathematics and Why
  436.    wt: 2:   Appendix D. What to do in School and Why
  437.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  438.    wt: 2:   Chapter 31 Direct and Indirect Reason
  439.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  440.    wt: 2:   Chapter 25. Mathematical Induction Examples
  441.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  442.    wt: 2:   Chapter 21. Third Reading Guide
  443.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  444.    wt: 2:   Chapter 13. Second Reading Guide
  445.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  446.    wt: 2:   Chapter 4 Longer Chains of Reason
  447.    wt: 2:   Chapter 3 Chains of Reason
  448.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  449.    wt: 2:   Postscript B More on Story Telling and Reason
  450.    wt: 2:   Postscript A Story Telling
  451.    wt: 2:   Chapter 24 Direct and Indirect Reason
  452.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  453.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  454.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  455.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  456.    wt: 2:   Chapter 7 Longer Chains of Reason
  457.    wt: 2:   Chapter 6 Chains of Reason
  458.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  459.    wt: 2:   Chapter 1 Introduction
  460.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  461.    wt: 2:   O On Learning Mathematics and Science
  462.    wt: 2:   N Improving Marks on Tests and Finals
  463.    wt: 2:   G. Written work formats for developing and showing skill
  464.    wt: 2:   C. Domino effect of being careful
  465.    wt: 2:   7 Games and Activities for Instruction
  466.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  467.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  468.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  469.    wt: 2:   Mathematics Education References
  470.    wt: 2:   Mathematics Education References
  471.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  472.    wt: 2:   Implementation Notes
  473.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  474.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  475.    wt: 1:   Appendix 2 primary school Arithmetic 01
  476.    wt: 1:   Appendix 1 primary and preschool mathematic
  477.    wt: 1:   Skills Chapter 5 Calculus
  478.    wt: 1:   Skills Chapter 4 Logic
  479.    wt: 1:   Skills Chapter 3 Algebra
  480.    wt: 1:   Skills Chapter 2 Geometry
  481.    wt: 1:   Skills Chapter 1 Arithmetic
  482.    wt: 1:   10 statistics
  483.    wt: 1:   8 analytic geometry etc
  484.    wt: 1:   6 polynomials etc
  485.    wt: 1:   5 logarithms and exponentials etc
  486.    wt: 1:   4 algebra
  487.    wt: 1:   3 Euclidean Geometry Leanly
  488.    wt: 1:   2 arithmetic with signed numbers
  489.    wt: 1:   1 arithmetic with unsigned numbers
  490.    wt: 1:   What is POMME
  491.    wt: 1:   why bother
  492.    wt: 1:   which way to go
  493.    wt: 1:   website reviews
  494.    wt: 1:   three goals to set for students
  495.    wt: 1:   Teach the teachers plus goals
  496.    wt: 1:   permissions for teachers
  497.    wt: 1:   Math Ed if it must be short make it lean effective
  498.    wt: 1:   Applied Maths Program14092009 POMME variant
  499.    wt: 1:   activities for students
  500.    wt: 1:   site eurekas
  501.    wt: 1:   About site lesson plans
  502.    wt: 1:   teacher certification
  503.    wt: 1:   modern education
  504.    wt: 1:   what should be learnt and When
  505.    wt: 1:   Postscript 2007 01 10
  506.    wt: 1:   five decades make a difference
  507.    wt: 1:   how letters appear
  508.    wt: 1:   talk the algebra talk
  509.    wt: 1:   three difficulties
  510.    wt: 1:   What to Tell Students
  511.    wt: 1:   geometric implications for algebra
  512.    wt: 1:   the trouble with algebra
  513.    wt: 1:   05 13 OldSiteEntrancePage
  514.    wt: 1:   04 25 when to stop or suspend mathemat
  515.    wt: 1:   02 21 words for teachers
  516.    wt: 1:   standards for course material
  517.    wt: 1:   Theory of Knowledge
  518.    wt: 1:   Motivation and Context Problem
  519.    wt: 1:   education an empirical art
  520.    wt: 1:   chapitre 12 00 les iles et division
  521.    wt: 1:   chapitre 05 00 Deception
  522.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  523.    wt: 1:   chapitre 04 09 Regles accidentelles
  524.    wt: 1:   chapitre 04 08 Limitations et benefices
  525.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  526.    wt: 1:   chapitre 04 06 engagements
  527.    wt: 1:   chapitre 04 05 Implication versus suggestion
  528.    wt: 1:   chapitre 04 04 Parlons de la logique
  529.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  530.    wt: 1:   chapitre 04 02 Deuxieme enigme
  531.    wt: 1:   chapitre 04 01 Premiere enigme
  532.    wt: 1:   chapitre 04 00 Les regles d implication
  533.    wt: 1:   chapitre 02 00 La Communication des idees
  534.    wt: 1:   deux definitions pour variable
  535.    wt: 1:   3 Like resistors in parallel
  536.    wt: 1:   2 Unlike resistors in parallel01
  537.    wt: 1:   1 Like resistors in series
  538.    wt: 1:   F Unlike Resistors in Series
  539.    wt: 1:   22 Student Centered Highschool Mathematics
  540.    wt: 1:   18 Primary School Mathematics
  541.    wt: 1:   16 Secondary Mathematics Tips
  542.    wt: 1:   15 Counting For Parents
  543.    wt: 1:   12 Goals and Objectives For Mathematics
  544.    wt: 1:   10 Ends values for work study instruction
  545.    wt: 1:   9 Streaming by Student Cooperation
  546.    wt: 1:   4 Learning Takes Time and Effort
  547.    wt: 1:   3 Preparing for Science Studies
  548.    wt: 1:   1 Speaking Skills
  549.    wt: 1:   Ages 12 to 14 Skills with take home value
  550.    wt: 1:   Ages 12 to 14 Geometry
  551.    wt: 1:   Ages 12 to 14 Arithmetic
  552.    wt: 1:   Ages 10 to 12 Geometry
  553.    wt: 1:   Ages 10 to 12 Arithmetic
  554.    wt: 1:   Ages 9 to 10
  555.    wt: 1:   Ages 8 to 9
  556.    wt: 1:   Ages 7 to 8
  557.    wt: 1:   Ages 6 to 7
  558.    wt: 1:   Ages 4 plus to 5 plus
  559.    wt: 1:   Ages 3 plus to 4 plus
  560.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  561.    wt: 1:   23 Inverse Functions
  562.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  563.    wt: 1:   19 Horizontal line rule and method
  564.    wt: 1:   18 Vertical Line Rule and Method
  565.    wt: 1:   17 Function maxima minima and their location
  566.    wt: 1:   14 Surjections Injections Bijections
  567.    wt: 1:   12 Function Domain Recognition Exercises
  568.    wt: 1:   11 Function Domain Range Source and Targets
  569.    wt: 1:   10 Interval Notation
  570.    wt: 1:   9 Set theory term relation possible origins
  571.    wt: 1:   3 Formula or function graphing exercise
  572.    wt: 1:   1 Geometric Introduction of Function Notation
  573.    wt: 1:   5 quadratics completing the square
  574.    wt: 1:   1 quadratics graphing exercises
  575.    wt: 1:   11 Growth and Decay in Biology
  576.    wt: 1:   7 Links Lessons Elsewhere
  577.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  578.    wt: 1:   4 Polynomials Long division linear divisor
  579.    wt: 1:   Rewriting algebraic substitution as function substitutions
  580.    wt: 1:   12 motivation for term arctan
  581.    wt: 1:   6 Graph of arccos function
  582.    wt: 1:   4 possible motivation for term arccos
  583.    wt: 1:   7 Radian Measures in special Triangles
  584.    wt: 1:   1 Degrees and Radians Introduction
  585.    wt: 1:   13 Velocity Vectors in Physics
  586.    wt: 1:   12 From Applied To Pure Mathematics
  587.    wt: 1:   9 Head to Tail Coordinate View
  588.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  589.    wt: 1:   6 Vectors with Coordinates
  590.    wt: 1:   2 Signed Coordinates
  591.    wt: 1:   1 Unsigned Coordinates
  592.    wt: 1:   Triangle Angles Sum To 180 Degrees
  593.    wt: 1:   5 Tangent Function Graph
  594.    wt: 1:   4 Tangent Function Properties
  595.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  596.    wt: 1:   17F Law of cosines
  597.    wt: 1:   1 Unit Points Reflections Rotations
  598.    wt: 1:   16 References and Originality Question
  599.    wt: 1:   14 Law of cosines
  600.    wt: 1:   1 Rectangular Polar Coordinates Review
  601.    wt: 1:   7 Trignometric Ratios Unit Circle
  602.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  603.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  604.    wt: 1:   1 Angle Measurement with Degrees
  605.    wt: 1:   Why Trigonometry the whyslopes view
  606.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  607.    wt: 1:   11 Triangle Similarity Missing Side Problem
  608.    wt: 1:   6 Geometric Diagrams in Class
  609.    wt: 1:   3 Similarity by Design with coordinates
  610.    wt: 1:   11 A Partial Summary
  611.    wt: 1:   7 Exercises to test skill and concept mastery
  612.    wt: 1:   5 Algebraic View of Slopes
  613.    wt: 1:   What is and is not here
  614.    wt: 1:   13 Pythagorean spatial distance formulas
  615.    wt: 1:   10 Pythagorean plane distance formula
  616.    wt: 1:   7 Complex Numbers Appetizer
  617.    wt: 1:   6 Polar Multiplication and Rotation
  618.    wt: 1:   5 Cartesian Addition and Translation
  619.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  620.    wt: 1:   PS E Multiplication with Polar Coordinates
  621.    wt: 1:   PS D Addition with Cartesian Coordinates
  622.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  623.    wt: 1:   14 Parallel Lines Postulate
  624.    wt: 1:   1 Initial Concepts and Terms
  625.    wt: 1:   6 Figuring with Maps Not to Scale
  626.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  627.    wt: 1:   2 Measuring Area Directly
  628.    wt: 1:   A Signed Number Arithmetic Review
  629.    wt: 1:   26 More Less Greater Than Comparison
  630.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  631.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  632.    wt: 1:   23 Distributive Law Two Derivations
  633.    wt: 1:   22 Multiplication of Signed Numbers
  634.    wt: 1:   19 Signed Multiples of Vectors
  635.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  636.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  637.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  638.    wt: 1:   11 Signed Number Addition and Addition Properties
  639.    wt: 1:   8 Division and Mulplication of Compound Fractions
  640.    wt: 1:   5 Areas of Rectangles Revisited
  641.    wt: 1:   4 Fraction Operations Axiomatic Development
  642.    wt: 1:   2 Fraction Operations Physical Development
  643.    wt: 1:   5 Proportionality in Equivalent Fractions
  644.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  645.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  646.    wt: 1:   5 Triangle Area Formula Backwards
  647.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  648.    wt: 1:   5 Equality in Algebra
  649.    wt: 1:   4 Comparison of Negative Numbers
  650.    wt: 1:   3 More and Less Than with Unlike Signs
  651.    wt: 1:   2 More and Less Than for Counts and Measures
  652.    wt: 1:   1 Real Numbers Comparison
  653.    wt: 1:   12 Real Number Additive Inverses or Negatives
  654.    wt: 1:   8 Coordinates for Maps and Planes
  655.    wt: 1:   2 Integers
  656.    wt: 1:   5 Independent versus Dependent Variables
  657.    wt: 1:   4 Changing Letters
  658.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  659.    wt: 1:   11 Volume of Sphere
  660.    wt: 1:   10 Volume of Pyramid
  661.    wt: 1:   9 Volume of Cone
  662.    wt: 1:   8 Compound Interest Formula Evaluation
  663.    wt: 1:   5 Box Volume Formula Example
  664.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  665.    wt: 1:   8 Sets of Numbers
  666.    wt: 1:   7 Cautious or Safe Set Construction
  667.    wt: 1:   6 Power Set Notation
  668.    wt: 1:   5 Product Builder Notation
  669.    wt: 1:   4 Subset Builder Notation
  670.    wt: 1:   2 Venn Diagrams
  671.    wt: 1:   5 Talking about Numbers and Quantities
  672.    wt: 1:   3 Adding Words To Arithmetic
  673.    wt: 1:   4 Greater More Less Than Signs in General
  674.    wt: 1:   1 Squares and Square Roots Introduction
  675.    wt: 1:   2 Least Common Multiple LCM intro via list method
  676.    wt: 1:   1 Least Common Multiples LCM Introduction
  677.    wt: 1:   10 dividing signed numbers
  678.    wt: 1:   9 subtracting signed numbers
  679.    wt: 1:   8 multiplying signed numbers
  680.    wt: 1:   7 negative and additive inverse
  681.    wt: 1:   6 adding signed numbers
  682.    wt: 1:   3 signed coordinates for maps and planes
  683.    wt: 1:   2 signed and unsigned numbers as coordinates
  684.    wt: 1:   3 Multiplying Units and Numbers
  685.    wt: 1:   21 Working With Signs
  686.    wt: 1:   20 Dividing Fractions the Why
  687.    wt: 1:   19 Dividing Fractions How TO
  688.    wt: 1:   A Associative Law Theorectical Note
  689.    wt: 1:   7 Multiplication by Signs
  690.    wt: 1:   6 Multiplication by Natural Numbers
  691.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  692.    wt: 1:   26 Divisibility by 2 3 5 Example
  693.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  694.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  695.    wt: 1:   17 Identify and Count Factors using Primes
  696.    wt: 1:   16 video Factors of 980 using prime
  697.    wt: 1:   15 video Factors of 20 using Prime Factorization
  698.    wt: 1:   13 video Factors of 24 using prime
  699.    wt: 1:   12 LCD GCD and LCM using Primes
  700.    wt: 1:   7 Calculator Usage Notes and Cautions
  701.    wt: 1:   4 video Prime Factorization Introduction
  702.    wt: 1:   11 Another Single Digit Divisor Example
  703.    wt: 1:   8 Correcting the Mistake
  704.    wt: 1:   7 Long Divison Mistake Catching
  705.    wt: 1:   5 Long Division Include Zeroes or not
  706.    wt: 1:   3 Division Single Digit Divisor Example
  707.    wt: 1:   2 Division with Single Digit Divisors
  708.    wt: 1:   C Counting Areas with Powers of Ten
  709.    wt: 1:   Video Power Notation in Decimal Expansion
  710.    wt: 1:   11 Place Value SI Standard International way
  711.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  712.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  713.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  714.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  715.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  716.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  717.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  718.    wt: 1:   016 Numbering Occidental Calendar Days
  719.    wt: 1:   015 School and work day counting tables
  720.    wt: 1:   014 Counting Days with Calendars
  721.    wt: 1:   011 Division of Time Intervals By Numbers
  722.    wt: 1:   010 Repeated Addition of Time Intervals
  723.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  724.    wt: 1:   7 Addition of Time Intervals
  725.    wt: 1:   2 Time and Date Matters in School
  726.    wt: 1:   1 Intro of Kids To Time Date Skills
  727.    wt: 1:   Example 1. Area Between x and x squared
  728.    wt: 1:   Example 4 with x function of y
  729.    wt: 1:   Example 3
  730.    wt: 1:   Example 2
  731.    wt: 1:   Example 1
  732.    wt: 1:   Area Between Curves Lesson Take 2
  733.    wt: 1:   Area Between Curves Lesson Take 1
  734.    wt: 1:   Summary
  735.    wt: 1:   5 Area Under Curve Exercise
  736.    wt: 1:   4 Second derivative test exercise example
  737.    wt: 1:   3 Second derivative test
  738.    wt: 1:   2 Second derivative test prequel
  739.    wt: 1:   38 Formulas and derivatives for powers and roots
  740.    wt: 1:   36 Cube root derivative animated
  741.    wt: 1:   34 Derivative of exponential function
  742.    wt: 1:   12 Quotient rule examples
  743.    wt: 1:   11 Quotient rule
  744.    wt: 1:   9 Reciprocal rule
  745.    wt: 1:   8 Differentiation of polynomials
  746.    wt: 1:   7 Animated Differentiation Examples
  747.    wt: 1:   6 Power rule from product rule
  748.    wt: 1:   5 Product Rule
  749.    wt: 1:   4 Sum Rule
  750.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  751.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  752.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  753.    wt: 1:   7 Evaluation by immediate or delayed substitution
  754.    wt: 1:   5 Jumps and absence of unlimited error control
  755.    wt: 1:   4 Numerical properties
  756.    wt: 1:   2 Algebraic codification
  757.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  758.    wt: 1:   G.5 Motions With Bounded Velocities
  759.    wt: 1:   G.3 Constant Difference Theorem Proof
  760.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  761.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  762.    wt: 1:   F.5b Extreme Value Theorem
  763.    wt: 1:   F.2 Closed Range Theorem
  764.    wt: 1:   E2 Algebraic Properties of Limits
  765.    wt: 1:   D2 Limits of Monotone Sequences
  766.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  767.    wt: 1:   B3 Bolzano Weierstrass Theorem
  768.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  769.    wt: 1:   Postscript More on Better Performance
  770.    wt: 1:   Postscript For Better Performance
  771.    wt: 1:   Appendix C. How to Read
  772.    wt: 1:   Appendix B. How To Learn
  773.    wt: 1:   Chapter 30 Truth Tables
  774.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  775.    wt: 1:   Chapter 28 Occurrence Tables
  776.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  777.    wt: 1:   Chapter 23. Notation For Sums
  778.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  779.    wt: 1:   Chapter 20. Degrees and Radians
  780.    wt: 1:   Chapter 19. Functions and Sets
  781.    wt: 1:   Chapter 18. Rules for Algebra
  782.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  783.    wt: 1:   Chapter 12. Shorthand Usage Guide
  784.    wt: 1:   Chapter 11. Why Shorthand
  785.    wt: 1:   Postscript What is a Variable
  786.    wt: 1:   Chapter 8 Three Skills For Algebra
  787.    wt: 1:   Solutions For Arithmetic Exercises
  788.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  789.    wt: 1:   Chapter 6 Change of Language
  790.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  791.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  792.    wt: 1:   Foreword
  793.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  794.    wt: 1:   Postscript C Consistency as a Tool for Reason
  795.    wt: 1:   Chapter 23 Truth Tables
  796.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  797.    wt: 1:   Chapter 21 Occurrence Tables
  798.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  799.    wt: 1:   Chapter 18 Sense and Knowledge
  800.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  801.    wt: 1:   Chapter 15 Objective Processes
  802.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  803.    wt: 1:   Chapter 11 Accidental Patterns
  804.    wt: 1:   Chapter 10 Responsibility
  805.    wt: 1:   Chapter 8 Change of Language
  806.    wt: 1:   Chapter 5 Deception
  807.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  808.    wt: 1:   Chapter 2 Skill Development
  809.    wt: 1:   Three Remarks
  810.    wt: 1:   Foreword
  811.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  812.    wt: 1:   S Adding words to algebra
  813.    wt: 1:   R Why Learn Mathematics Skills
  814.    wt: 1:   N Mathematics Prepare for College Studies
  815.    wt: 1:   J. More on written work and showing skill
  816.    wt: 1:   H Jigsaw puzzles and problem solving
  817.    wt: 1:   B. Domino effect of errors
  818.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  819.    wt: 1:   Chapter 8 Skipped Topics and Why
  820.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  821.    wt: 1:   Chapter 6 More Algebra and Geometry
  822.    wt: 1:   Chapter 3 Algebra Starter Lessons
  823.    wt: 1:   Chapter 2 Why Sets
  824.    wt: 1:   Chapter 1 Arithmetic
  825.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  826.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  827.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  828.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  829.    wt: 1:   More Algebra and Slope based Calculus Preview
  830.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  831.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  832.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  833.    wt: 1:   Which Way To Go

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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