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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52 matches:

  1.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 3:   A Origins of Counting and Figuring Methods/
  3.    wt: 3:   Step 4 Gaussian Elimination/
  4.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 3:   A Decimal Counting and Adding Methods/
  7.    wt: 2:   Parent Center/
  8.    wt: 2:   12 Function Translating and Rescaling/
  9.    wt: 2:   8 Unifying Theme For Algebra/
  10.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  11.    wt: 2:   Step 1 Stick diagram and fractions/
  12.    wt: 2:   3 Solving Linear Equations/
  13.    wt: 2:   9 Combinatorics Trees Tables and Products/
  14.    wt: 2:   5 Integers/
  15.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  16.    wt: 1:   LAMP Lean Applied Mathematics Program/
  17.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 1:   Mathematics Education Essays/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  21.    wt: 1:   11 Parallel Straight Lines and Transversals/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   4 Lines and Slopes Take 1/
  24.    wt: 1:   3 Cartesian and Polar Coordinates/
  25.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  26.    wt: 1:   B Real Numbers Extrinsic Development/
  27.    wt: 1:   10 Examples of Algebraic Reasoning/
  28.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  29.    wt: 1:   1 Working With Sets/
  30.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  31.    wt: 1:   11 Squares and Square Roots/
  32.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  33.    wt: 1:   8 Arithmetic with Signed Numbers/
  34.    wt: 1:   7 Arithmetic and Fractions with Units/
  35.    wt: 1:   6 Fractions and Ratios/
  36.    wt: 1:   3 Prime Factorization Skills/
  37.    wt: 1:   D Decimal Long Division Methods/
  38.    wt: 1:   C Decimal Multiplication Methods/
  39.    wt: 1:   2 Arithmetic with Decimals/
  40.    wt: 1:   1 Decimal Place Value/
  41.    wt: 1:   Arithmetic and Number Theory Skills/
  42.    wt: 1:   5 Lessons on Integration/
  43.    wt: 1:   4 Lessons on Using Derivatives/
  44.    wt: 1:   38 Lessons on Calculating Derivatives/
  45.    wt: 1:   13 Lessons on Limits and Continuity/
  46.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  47.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  48.    wt: 1:   Resources and Reciprocal Links/
  49.    wt: 1:   Mathematics 506 Lessons/
  50.    wt: 1:   Secondary Mathematics A Practical Approach/
  51.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  52.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

547 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 5:   Helping the Blind in Logic and Mathematics
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  8.    wt: 3:   J LAMP Introduction Extrinsic Origins
  9.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  10.    wt: 3:   Ramblings Extrinsic numbers theory
  11.    wt: 3:   mathematics instruction in general
  12.    wt: 3:   Different Kinds of Reasoning in maths
  13.    wt: 3:   three kinds of reason in mathematics
  14.    wt: 3:   fairness and inductive principles for instruction
  15.    wt: 3:   chapitre 07 01 principle D induction mathematique
  16.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  17.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  18.    wt: 3:   20 Interchanging coordinates a reflection
  19.    wt: 3:   8 arcsin left inverse of sine Graph
  20.    wt: 3:   3 Left Inverse of cosine arccos definition
  21.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  22.    wt: 3:   Straight Lines Instersection Solving Equations
  23.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  24.    wt: 3:   28 Expressing products of sines cosines as sums
  25.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  26.    wt: 3:   1 The Counting Origins of Numbers
  27.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  28.    wt: 3:   14 Adding and Subtracting with Like Denominators
  29.    wt: 3:   7 Adding decimal fractions using decimal point
  30.    wt: 3:   2 Indefinite Integrals Exercises
  31.    wt: 3:   1 Chain Rule in Reverse Integration Method
  32.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  33.    wt: 3:   26 Chain Rule Recognising outer inner functions
  34.    wt: 3:   F.4 Finite Covering Theorem
  35.    wt: 3:   Chapter 16. Painless Theorem Proving
  36.    wt: 3:   H more Routine to non routine problem solving
  37.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  38.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  39.    wt: 2:   H LAMP Introduction Instructional Concepts
  40.    wt: 2:   G LAMP Introduction Problem Solving Skills
  41.    wt: 2:   E LAMP Introduction Modern Mathematics
  42.    wt: 2:   Ramblings Introduction Algebra Essay
  43.    wt: 2:   links Education Resources online
  44.    wt: 2:   grouping students according to ability
  45.    wt: 2:   mathematics in context
  46.    wt: 2:   teaching tutoring algebraic reason
  47.    wt: 2:   Education in mathematics science and technology
  48.    wt: 2:   cultivating intelligence
  49.    wt: 2:   Prequel In For A Penny In For A Pound
  50.    wt: 2:   words for mathematics instructor
  51.    wt: 2:   Home Tutoring and Home Schooling
  52.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  53.    wt: 2:   22 Student Centered Highschool Mathematics
  54.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  55.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  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:   17 Function maxima minima and their location
  60.    wt: 2:   9 Set theory term relation possible origins
  61.    wt: 2:   7 Functions with finite domains
  62.    wt: 2:   4 Function notation in and beyond mathematics
  63.    wt: 2:   Introduction Reading Guide
  64.    wt: 2:   5 quadratics completing the square
  65.    wt: 2:   3 quadratics factoring by inspection
  66.    wt: 2:   2 quadratics graphing in general
  67.    wt: 2:   16 cotangent function Definition Graph and Inverse
  68.    wt: 2:   15 cosecant function Definition Graph and Inverse
  69.    wt: 2:   14 secant function Definition Graph and Inverse
  70.    wt: 2:   13 cosecant function Definition Graph and Inverse
  71.    wt: 2:   10 arctan left inverse of tangent Definition
  72.    wt: 2:   5 Swapping Coordinates is a reflection
  73.    wt: 2:   4 graphing y=Asin(x c)
  74.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  75.    wt: 2:   Parallel Lines and Interior Angles
  76.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  77.    wt: 2:   Straight Lines ASA Intersection Study More
  78.    wt: 2:   Straight Lines ASA Intersection Study
  79.    wt: 2:   Straight Lines Intersection of
  80.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  81.    wt: 2:   C Straight Lines Slope from Coordinates
  82.    wt: 2:   B Straight Line Slope Scaling Properties More
  83.    wt: 2:   A Straight Line Slope Scaling Properties
  84.    wt: 2:   12 Straight Lines Graphing mx plus b
  85.    wt: 2:   11 Straight Lines Graphing y=mx
  86.    wt: 2:   10 Straight Lines through Origin Equations More
  87.    wt: 2:   9 Straight Lines through Origin Equations
  88.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  89.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  90.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  92.    wt: 2:   27 Logarithmic use of products of sines and cosines
  93.    wt: 2:   26 Formulas for products of sines and cosines
  94.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  95.    wt: 2:   21 sine and cosine Half Angle Formulas
  96.    wt: 2:   20 sine and cosine Double Angle Formulas
  97.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  98.    wt: 2:   18 sum of sinusoidal waves as a single wave
  99.    wt: 2:   17D cis formulas for sine cosines and tangent
  100.    wt: 2:   17C sine and cosine double triple angle formulas
  101.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  102.    wt: 2:   15 sine cosine Complementary Angle Relations
  103.    wt: 2:   14 cosine even and sine and tangent are odd
  104.    wt: 2:   11 tangent function undefined when terminal side vertical
  105.    wt: 2:   10 Graphs of sines and cosines many periods
  106.    wt: 2:   9 Graphs of sine and cosine over one period
  107.    wt: 2:   7 period of sine and cosine
  108.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  109.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  110.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  111.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  112.    wt: 2:   12 cis formulas for sine cosines and tangent
  113.    wt: 2:   11 sine and cosine double triple angle formulas
  114.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  115.    wt: 2:   3 Trigonometric Ratios sine and cosine
  116.    wt: 2:   4 Similarity Definition with Coordinate
  117.    wt: 2:   2 point slope equation for a line
  118.    wt: 2:   1 Numerical view of lines and their equations
  119.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  120.    wt: 2:   8 Distance Between Points on a Line
  121.    wt: 2:   10 Dropping a perpendicular to line
  122.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  123.    wt: 2:   12 Real Numbers Line Signed Coordinates
  124.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  125.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  126.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  127.    wt: 2:   4 Location of Point in Decimal Addition
  128.    wt: 2:   3 Location of Point in Decimal Multiplication
  129.    wt: 2:   2 Counting Digits in Decimal Multiplication
  130.    wt: 2:   3 Multiplicative Counting Skills Principles
  131.    wt: 2:   2 Combing Counts Addition Skills and Principles
  132.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  133.    wt: 2:   9 Coordinates for Regions in Space
  134.    wt: 2:   7 Real Numbers as Line Cordinates
  135.    wt: 2:   13 Naming Identifying Formulas with Words
  136.    wt: 2:   7 Compound Interest Formula Introduction
  137.    wt: 2:   1 Written work formats for developing and showing skill
  138.    wt: 2:   1 Counting and Counting Methods I
  139.    wt: 2:   4 signed coordinates for regions in space
  140.    wt: 2:   7 Converting or Changing Units
  141.    wt: 2:   20 Dividing Fractions the Why
  142.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  143.    wt: 2:   12 Adding Integers More Examples
  144.    wt: 2:   11 Adding Integers Formulas and Examples
  145.    wt: 2:   9 Multiplying Integers
  146.    wt: 2:   1 Integers as Coordinates
  147.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  148.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  149.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  150.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  151.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  152.    wt: 2:   11 Another Single Digit Divisor Example
  153.    wt: 2:   8 Correcting the Mistake
  154.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  155.    wt: 2:   6. Counting and adding units and mixed units
  156.    wt: 2:   1. Explaining Addition Table
  157.    wt: 2:   012 Division of Time Intervals by Time Intervals
  158.    wt: 2:   8 Addition of Time Intervals via subtotaling
  159.    wt: 2:   4 Mixing and Changing Units of Time
  160.    wt: 2:   4 Definite Integrals Evaluation Exercises
  161.    wt: 2:   29 Chain Rule Optional Reading
  162.    wt: 2:   25 Chain Rule Animated Examples Continued
  163.    wt: 2:   23 Chain Rule in general
  164.    wt: 2:   19 Chain Rule for linear functions
  165.    wt: 2:   18 Chain Rule Introduction
  166.    wt: 2:   17 Derivatives of quotients of sine and cosine
  167.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  168.    wt: 2:   15 sine and cosine derivatives 3rd step
  169.    wt: 2:   14 sine and cosine derivatives 2nd step
  170.    wt: 2:   13 sine and cosine derivatives 1st step
  171.    wt: 2:   11 Limits at infinity Three Examples
  172.    wt: 2:   10 Three one sided limits with infinite values
  173.    wt: 2:   6 Continuity at a point
  174.    wt: 2:   3 Decimal insights for limits continuity convergence
  175.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  176.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  177.    wt: 2:   F.5a Equicontinuity Theorems
  178.    wt: 2:   F.3 Intermediate Value Theorem
  179.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  180.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  181.    wt: 2:   Chapter 25. Mathematical Induction Examples
  182.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  183.    wt: 2:   Chapter 15. Solving Linear Equations
  184.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  185.    wt: 2:   Chapter 10 Describing and Changing Calculations
  186.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  187.    wt: 2:   Chapter 2 For and Against Mathematics
  188.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  189.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  190.    wt: 2:   O On Learning Mathematics and Science
  191.    wt: 2:   N Improving Marks on Tests and Finals
  192.    wt: 2:   G. Written work formats for developing and showing skill
  193.    wt: 2:   C. Domino effect of being careful
  194.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  195.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  196.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  197.    wt: 2:   Systematic Algebra Skill Development Missing Links
  198.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  199.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  200.    wt: 1:   Appendix 1 primary and preschool mathematic
  201.    wt: 1:   K LAMP Musings Science Education
  202.    wt: 1:   I LAMP Introduction Study Habits
  203.    wt: 1:   F LAMP Introduction Prerequisites
  204.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  205.    wt: 1:   A Introduction Objectives
  206.    wt: 1:   Skills Chapter 0 Introduction
  207.    wt: 1:   11 pure mathematics
  208.    wt: 1:   9 combinatorics probability sets
  209.    wt: 1:   7 logic review and decimals an odd combination
  210.    wt: 1:   why bother
  211.    wt: 1:   Teach the teachers plus goals
  212.    wt: 1:   site origins
  213.    wt: 1:   key notes and themes
  214.    wt: 1:   Mathematics Education Professors
  215.    wt: 1:   learning takes time
  216.    wt: 1:   Education Reform Inconsistencies
  217.    wt: 1:   Maps Plans Drawings
  218.    wt: 1:   Secondary Three Mathematics
  219.    wt: 1:   Secondary Two Mathematics
  220.    wt: 1:   Secondary One Mathematics
  221.    wt: 1:   talk the algebra talk
  222.    wt: 1:   teaching tips
  223.    wt: 1:   mathematics curriculum shifts
  224.    wt: 1:   Lessening Algebra Difficulties
  225.    wt: 1:   the trouble with algebra
  226.    wt: 1:   three goals for Mathematics Education
  227.    wt: 1:   04 29 New Mathematics Curriculum
  228.    wt: 1:   04 25 when to stop or suspend mathemat
  229.    wt: 1:   02 20 mathematics education references
  230.    wt: 1:   three aims for mathematics students
  231.    wt: 1:   Operational Viewpoint to Value
  232.    wt: 1:   formal or informal peer review
  233.    wt: 1:   Theory of Knowledge
  234.    wt: 1:   How to be a better instructor
  235.    wt: 1:   need for a mixed mathematics curriculum
  236.    wt: 1:   Leaner mathematics curriculum
  237.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  238.    wt: 1:   chapitre 06 00 Chaines de la raison
  239.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  240.    wt: 1:   chapitre 01 00 Introduction
  241.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  242.    wt: 1:   deux definitions pour variable
  243.    wt: 1:   3 Like resistors in parallel
  244.    wt: 1:   2 Unlike resistors in parallel01
  245.    wt: 1:   1 Like resistors in series
  246.    wt: 1:   F Unlike Resistors in Series
  247.    wt: 1:   18 Primary School Mathematics
  248.    wt: 1:   16 Secondary Mathematics Tips
  249.    wt: 1:   15 Counting For Parents
  250.    wt: 1:   12 Goals and Objectives For Mathematics
  251.    wt: 1:   10 Ends values for work study instruction
  252.    wt: 1:   9 Streaming by Student Cooperation
  253.    wt: 1:   8 The Effect of Negative Remarks
  254.    wt: 1:   4 Learning Takes Time and Effort
  255.    wt: 1:   3 Preparing for Science Studies
  256.    wt: 1:   1 Speaking Skills
  257.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  258.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  259.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  260.    wt: 1:   23 Inverse Functions
  261.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  262.    wt: 1:   19 Horizontal line rule and method
  263.    wt: 1:   18 Vertical Line Rule and Method
  264.    wt: 1:   14 Surjections Injections Bijections
  265.    wt: 1:   12 Function Domain Recognition Exercises
  266.    wt: 1:   11 Function Domain Range Source and Targets
  267.    wt: 1:   10 Interval Notation
  268.    wt: 1:   3 Formula or function graphing exercise
  269.    wt: 1:   1 Geometric Introduction of Function Notation
  270.    wt: 1:   9 quadratics physical and further context
  271.    wt: 1:   1 quadratics graphing exercises
  272.    wt: 1:   Quadratics in 10 steps
  273.    wt: 1:   11 Growth and Decay in Biology
  274.    wt: 1:   8 Notes for instructors or tutors
  275.    wt: 1:   7 Links Lessons Elsewhere
  276.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  277.    wt: 1:   4 Polynomials Long division linear divisor
  278.    wt: 1:   Rewriting algebraic substitution as function substitutions
  279.    wt: 1:   11 arctan left inverse of tangent Graph
  280.    wt: 1:   9 motivation for name arcsin
  281.    wt: 1:   2 cosine function more properties
  282.    wt: 1:   1 cosine function properties
  283.    wt: 1:   7 Radian Measures in special Triangles
  284.    wt: 1:   1 Degrees and Radians Introduction
  285.    wt: 1:   13 Velocity Vectors in Physics
  286.    wt: 1:   12 From Applied To Pure Mathematics
  287.    wt: 1:   9 Head to Tail Coordinate View
  288.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  289.    wt: 1:   6 Vectors with Coordinates
  290.    wt: 1:   2 Signed Coordinates
  291.    wt: 1:   1 Unsigned Coordinates
  292.    wt: 1:   3 graphing y=f(x c) plus K
  293.    wt: 1:   1 graphing y=f(x a)
  294.    wt: 1:   Parallel Lines and Parallel Transversals
  295.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  296.    wt: 1:   14 Straight Lines Equations General Case
  297.    wt: 1:   8 Straight Lines Equation for vertical
  298.    wt: 1:   7 Tangent Function is odd on this domain
  299.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  300.    wt: 1:   1 Straight Lines Slope Concept
  301.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  302.    wt: 1:   17G Pythagorean Theorem Converse
  303.    wt: 1:   17F Law of cosines
  304.    wt: 1:   17A The complex number valued trig function cis
  305.    wt: 1:   1 Unit Points Reflections Rotations
  306.    wt: 1:   16 References and Originality Question
  307.    wt: 1:   15 Pythagorean Theorem Converse
  308.    wt: 1:   14 Law of cosines
  309.    wt: 1:   9 The complex number valued trig function cis
  310.    wt: 1:   5 An Easy Proof of the Distributive Law
  311.    wt: 1:   1 Rectangular Polar Coordinates Review
  312.    wt: 1:   8 Triangles Cascade Problem Solving
  313.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  314.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  315.    wt: 1:   Why Trigonometry the whyslopes view
  316.    wt: 1:   11 Triangle Similarity Missing Side Problem
  317.    wt: 1:   6 Geometric Diagrams in Class
  318.    wt: 1:   3 Similarity by Design with coordinates
  319.    wt: 1:   12 Links Lessons elsewhere
  320.    wt: 1:   10 Midpoint of [a b] and [b a]
  321.    wt: 1:   8 Mid Point Formula
  322.    wt: 1:   4 Equations for lines three forms
  323.    wt: 1:   3 Slope product for perpendicular lines
  324.    wt: 1:   12 Spatial Coordinates
  325.    wt: 1:   11 Triangle Inequality
  326.    wt: 1:   4 Polar Coordinates to and from
  327.    wt: 1:   3 Rectangular Coordinates Review
  328.    wt: 1:   2 Cartesian Coordinates with signs
  329.    wt: 1:   1 Cartesian Coordinates sans signs
  330.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  331.    wt: 1:   PS E Multiplication with Polar Coordinates
  332.    wt: 1:   PS D Addition with Cartesian Coordinates
  333.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  334.    wt: 1:   14 Parallel Lines Postulate
  335.    wt: 1:   1 Initial Concepts and Terms
  336.    wt: 1:   6 Figuring with Maps Not to Scale
  337.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  338.    wt: 1:   2 Measuring Area Directly
  339.    wt: 1:   musings do not puiblish real numbers
  340.    wt: 1:   A Modular and Remainder Arithmetic
  341.    wt: 1:   21 Addition of Multiples of a Single Vector
  342.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  343.    wt: 1:   15 Head to Tails in place Addition Associative
  344.    wt: 1:   13 Arrows and Vectors in a Plane
  345.    wt: 1:   9 Division with Digits after Decimal Point
  346.    wt: 1:   1 Fractions with Finite Decimal Expansions
  347.    wt: 1:   8 Column Multiplication Methods in General
  348.    wt: 1:   4 Commutative Law Groups Counting Form
  349.    wt: 1:   3 Inequalities Algebraically
  350.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  351.    wt: 1:   5 Proportionality in Equivalent Fractions
  352.    wt: 1:   6 Compound Interest Forward and Backwards
  353.    wt: 1:   3 Linear Equation Literal Solution More
  354.    wt: 1:   2 Linear Equation Literal Solution
  355.    wt: 1:   1 Changing Calculations
  356.    wt: 1:   5 Equality in Algebra
  357.    wt: 1:   5 Greater More Less Than Signs in General
  358.    wt: 1:   12 Real Number Additive Inverses or Negatives
  359.    wt: 1:   8 Coordinates for Maps and Planes
  360.    wt: 1:   2 Integers
  361.    wt: 1:   5 Independent versus Dependent Variables
  362.    wt: 1:   4 Changing Letters
  363.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  364.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  365.    wt: 1:   4 Solving a triangular system exercise
  366.    wt: 1:   3 Solving triangular system example
  367.    wt: 1:   5 Algebraic Solutions Introduction
  368.    wt: 1:   Using Letters for Physical Quantities
  369.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  370.    wt: 1:   8 Compound Interest Formula Evaluation
  371.    wt: 1:   2 Another Rectangle Area Formula Example
  372.    wt: 1:   9 Sets in Probability and Statistics
  373.    wt: 1:   3 Counting with Sets etc
  374.    wt: 1:   1 Finite Sets
  375.    wt: 1:   5 Talking about Numbers and Quantities
  376.    wt: 1:   3 Adding Words To Arithmetic
  377.    wt: 1:   4 Greater More Less Than Signs in General
  378.    wt: 1:   1 Squares and Square Roots Introduction
  379.    wt: 1:   2 Least Common Multiple LCM intro via list method
  380.    wt: 1:   1 Least Common Multiples LCM Introduction
  381.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  382.    wt: 1:   4 Counting with Trees Product Rule Take I
  383.    wt: 1:   3 Counting with Tables and Trees II
  384.    wt: 1:   2 Counting with Tables and Trees I
  385.    wt: 1:   10 dividing signed numbers
  386.    wt: 1:   9 subtracting signed numbers
  387.    wt: 1:   8 multiplying signed numbers
  388.    wt: 1:   7 negative and additive inverse
  389.    wt: 1:   6 adding signed numbers
  390.    wt: 1:   3 signed coordinates for maps and planes
  391.    wt: 1:   2 signed and unsigned numbers as coordinates
  392.    wt: 1:   3 Multiplying Units and Numbers
  393.    wt: 1:   21 Working With Signs
  394.    wt: 1:   19 Dividing Fractions How TO
  395.    wt: 1:   D Remainders Modulo 11 Pair Rule
  396.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  397.    wt: 1:   B Integer Long Division Multiple Choices
  398.    wt: 1:   A Associative Law Theorectical Note
  399.    wt: 1:   13 Subtraction with Additive Inverse
  400.    wt: 1:   10 Integer Multiplication Formulas
  401.    wt: 1:   8 Multiplication by Signed Numbers Integers
  402.    wt: 1:   5 Zero Movement and Additive Inverses
  403.    wt: 1:   4 Adding Movements wiht opposite directions
  404.    wt: 1:   3 Adding Movements with same direction
  405.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  406.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  407.    wt: 1:   23 Remainder Arithmetic Modulo 2
  408.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  409.    wt: 1:   21 Remainder Arithmetic Modulo 3
  410.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  411.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  412.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  413.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  414.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  415.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  416.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  417.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  418.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  419.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  420.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  421.    wt: 1:   5 Remainder Arithmetic Modulo 5
  422.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  423.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  424.    wt: 1:   1 Remainder Arithmetic Modulo 10
  425.    wt: 1:   17 Identify and Count Factors using Primes
  426.    wt: 1:   16 video Factors of 980 using prime
  427.    wt: 1:   15 video Factors of 20 using Prime Factorization
  428.    wt: 1:   13 video Factors of 24 using prime
  429.    wt: 1:   12 LCD GCD and LCM using Primes
  430.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  431.    wt: 1:   4 video Prime Factorization Introduction
  432.    wt: 1:   7 Long Divison Mistake Catching
  433.    wt: 1:   5 Long Division Include Zeroes or not
  434.    wt: 1:   3 Division Single Digit Divisor Example
  435.    wt: 1:   2 Division with Single Digit Divisors
  436.    wt: 1:   C Counting Areas with Powers of Ten
  437.    wt: 1:   Video Power Notation in Decimal Expansion
  438.    wt: 1:   Subtraction Another Video Lesson
  439.    wt: 1:   9 22 Minute Subtraction Review Video
  440.    wt: 1:   2 Decimal Counting Practices
  441.    wt: 1:   11 Place Value SI Standard International way
  442.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  443.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  444.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  445.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  446.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  447.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  448.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  449.    wt: 1:   The 20 Times Table
  450.    wt: 1:   The 12 Times Table Visually
  451.    wt: 1:   016 Numbering Occidental Calendar Days
  452.    wt: 1:   015 School and work day counting tables
  453.    wt: 1:   014 Counting Days with Calendars
  454.    wt: 1:   011 Division of Time Intervals By Numbers
  455.    wt: 1:   010 Repeated Addition of Time Intervals
  456.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  457.    wt: 1:   7 Addition of Time Intervals
  458.    wt: 1:   2 Time and Date Matters in School
  459.    wt: 1:   1 Intro of Kids To Time Date Skills
  460.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  461.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  462.    wt: 1:   A Related Material in Volume 3
  463.    wt: 1:   3 Two Chain Rule Method Exercises
  464.    wt: 1:   A Related lessons in Volume 3
  465.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  466.    wt: 1:   A Chain Rule Real Player video examples
  467.    wt: 1:   33 Chain Rule Real Player video examples
  468.    wt: 1:   31 Derivatives of inverse functions
  469.    wt: 1:   30Chain Rule A Proof
  470.    wt: 1:   28 Chain Rule Preparation for a Proof
  471.    wt: 1:   24 Chain Rule Animated Examples
  472.    wt: 1:   22 Chain Rule for polynomials
  473.    wt: 1:   21 Chain Rule for powers
  474.    wt: 1:   20 Chain Rule for Pulley Systems
  475.    wt: 1:   10 Power rule for negative integers
  476.    wt: 1:   3 Motivation for Limit Definition Take 2
  477.    wt: 1:   2 Motivation for Limit Definition Take 1
  478.    wt: 1:   9 Limits Continuity and Composition
  479.    wt: 1:   1 Numerical introduction
  480.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  481.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  482.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  483.    wt: 1:   G.3 Constant Difference Theorem Proof
  484.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  485.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  486.    wt: 1:   F.5b Extreme Value Theorem
  487.    wt: 1:   F.2 Closed Range Theorem
  488.    wt: 1:   F.1 What Functions are Continuous
  489.    wt: 1:   E1 Error Control Inequalities
  490.    wt: 1:   C Triangle Inequalities
  491.    wt: 1:   B3 Bolzano Weierstrass Theorem
  492.    wt: 1:   PostScript For and Against Decimal Perspectives
  493.    wt: 1:   A1. Introduction
  494.    wt: 1:   Chapter 23 Links To Trigonometry
  495.    wt: 1:   Chapter 18. Slopes Areas Integration
  496.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  497.    wt: 1:   Chapter 11. Graphing Slope versus Position
  498.    wt: 1:   Chapter 9 About First Courses in Calculus
  499.    wt: 1:   Chapter 8. Slope Interpretation
  500.    wt: 1:   Chapter 1.Introduction
  501.    wt: 1:   Appendix E. How To Study Mathematics and Why
  502.    wt: 1:   Appendix D. What to do in School and Why
  503.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  504.    wt: 1:   Chapter 31 Direct and Indirect Reason
  505.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  506.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  507.    wt: 1:   Chapter 21. Third Reading Guide
  508.    wt: 1:   Chapter 13. Second Reading Guide
  509.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  510.    wt: 1:   Chapter 4 Longer Chains of Reason
  511.    wt: 1:   Chapter 3 Chains of Reason
  512.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  513.    wt: 1:   Annotated Links to Material Elsehwere
  514.    wt: 1:   Postscript B Mathematics Education References
  515.    wt: 1:   Chapter 11 Elementary Instruction
  516.    wt: 1:   Chapter 9 The Two Ends
  517.    wt: 1:   Chapter 8 Modern Instruction
  518.    wt: 1:   Chapter 1 Introduction
  519.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  520.    wt: 1:   Postscript B More on Story Telling and Reason
  521.    wt: 1:   Postscript A Story Telling
  522.    wt: 1:   Chapter 24 Direct and Indirect Reason
  523.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  524.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  525.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  526.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  527.    wt: 1:   Chapter 7 Longer Chains of Reason
  528.    wt: 1:   Chapter 6 Chains of Reason
  529.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  530.    wt: 1:   Chapter 1 Introduction
  531.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  532.    wt: 1:   S Adding words to algebra
  533.    wt: 1:   R Why Learn Mathematics Skills
  534.    wt: 1:   N Mathematics Prepare for College Studies
  535.    wt: 1:   J. More on written work and showing skill
  536.    wt: 1:   H Jigsaw puzzles and problem solving
  537.    wt: 1:   F. The student teacher tutor feedback loop
  538.    wt: 1:   B. Domino effect of errors
  539.    wt: 1:   7 Games and Activities for Instruction
  540.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  541.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  542.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  543.    wt: 1:   Mathematics Education References
  544.    wt: 1:   Mathematics Education References
  545.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  546.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  547.    wt: 1:   The Math Forum and Site Content

Extended Search

901 matches:

  1.    wt: 6:   Straight Lines Instersection Solving Equations
  2.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  3.    wt: 6:   1 The Counting Origins of Numbers
  4.    wt: 6:   7 Adding decimal fractions using decimal point
  5.    wt: 6:   Helping the Blind in Logic and Mathematics
  6.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  7.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  8.    wt: 5:   7 arcsin left inverse of sine Definition
  9.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  10.    wt: 5:   Straight Lines ASA Intersection Study More
  11.    wt: 5:   Straight Lines ASA Intersection Study
  12.    wt: 5:   Straight Lines Intersection of
  13.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  14.    wt: 5:   6 Intersection of lines by solving linear systems
  15.    wt: 5:   3 Multiplicative Counting Skills Principles
  16.    wt: 5:   2 Combing Counts Addition Skills and Principles
  17.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  18.    wt: 5:   6. Counting and adding units and mixed units
  19.    wt: 5:   1. Explaining Addition Table
  20.    wt: 5:   4 Money Matters Saving Earning Buying Selling and Budgets
  21.    wt: 4:   J LAMP Introduction Extrinsic Origins
  22.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  23.    wt: 4:   Ramblings Extrinsic numbers theory
  24.    wt: 4:   mathematics instruction in general
  25.    wt: 4:   Different Kinds of Reasoning in maths
  26.    wt: 4:   three kinds of reason in mathematics
  27.    wt: 4:   fairness and inductive principles for instruction
  28.    wt: 4:   Home Tutoring and Home Schooling
  29.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  30.    wt: 4:   22 Student Centered Highschool Mathematics
  31.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  32.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  33.    wt: 4:   2 Reading and Writing Skills
  34.    wt: 4:   16 Increasing or decreasing on intervals
  35.    wt: 4:   8 arcsin left inverse of sine Graph
  36.    wt: 4:   3 Left Inverse of cosine arccos definition
  37.    wt: 4:   4 graphing y=Asin(x c)
  38.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  39.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  40.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  41.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  42.    wt: 4:   8 Column Multiplication Methods in General
  43.    wt: 4:   4 Commutative Law Groups Counting Form
  44.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  45.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  46.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  47.    wt: 4:   4 Solving a triangular system exercise
  48.    wt: 4:   3 Solving triangular system example
  49.    wt: 4:   1 Counting and Counting Methods I
  50.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  51.    wt: 4:   14 Adding and Subtracting with Like Denominators
  52.    wt: 4:   12 Adding Integers More Examples
  53.    wt: 4:   11 Adding Integers Formulas and Examples
  54.    wt: 4:   9 Multiplying Integers
  55.    wt: 4:   1 Integers as Coordinates
  56.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  57.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  58.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  59.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  60.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  61.    wt: 4:   Subtraction Another Video Lesson
  62.    wt: 4:   9 22 Minute Subtraction Review Video
  63.    wt: 4:   2 Decimal Counting Practices
  64.    wt: 4:   2 Indefinite Integrals Exercises
  65.    wt: 4:   1 Chain Rule in Reverse Integration Method
  66.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  67.    wt: 4:   26 Chain Rule Recognising outer inner functions
  68.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  69.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  70.    wt: 3:   H LAMP Introduction Instructional Concepts
  71.    wt: 3:   G LAMP Introduction Problem Solving Skills
  72.    wt: 3:   E LAMP Introduction Modern Mathematics
  73.    wt: 3:   Ramblings Introduction Algebra Essay
  74.    wt: 3:   links Education Resources online
  75.    wt: 3:   grouping students according to ability
  76.    wt: 3:   mathematics in context
  77.    wt: 3:   teaching tutoring algebraic reason
  78.    wt: 3:   Education in mathematics science and technology
  79.    wt: 3:   cultivating intelligence
  80.    wt: 3:   Prequel In For A Penny In For A Pound
  81.    wt: 3:   words for mathematics instructor
  82.    wt: 3:   chapitre 07 01 principle D induction mathematique
  83.    wt: 3:   18 Primary School Mathematics
  84.    wt: 3:   16 Secondary Mathematics Tips
  85.    wt: 3:   15 Counting For Parents
  86.    wt: 3:   12 Goals and Objectives For Mathematics
  87.    wt: 3:   10 Ends values for work study instruction
  88.    wt: 3:   9 Streaming by Student Cooperation
  89.    wt: 3:   8 The Effect of Negative Remarks
  90.    wt: 3:   4 Learning Takes Time and Effort
  91.    wt: 3:   3 Preparing for Science Studies
  92.    wt: 3:   1 Speaking Skills
  93.    wt: 3:   20 Interchanging coordinates a reflection
  94.    wt: 3:   16 cotangent function Definition Graph and Inverse
  95.    wt: 3:   15 cosecant function Definition Graph and Inverse
  96.    wt: 3:   14 secant function Definition Graph and Inverse
  97.    wt: 3:   13 cosecant function Definition Graph and Inverse
  98.    wt: 3:   10 arctan left inverse of tangent Definition
  99.    wt: 3:   5 Swapping Coordinates is a reflection
  100.    wt: 3:   3 graphing y=f(x c) plus K
  101.    wt: 3:   1 graphing y=f(x a)
  102.    wt: 3:   Parallel Lines and Interior Angles
  103.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  104.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  105.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  106.    wt: 3:   C Straight Lines Slope from Coordinates
  107.    wt: 3:   B Straight Line Slope Scaling Properties More
  108.    wt: 3:   A Straight Line Slope Scaling Properties
  109.    wt: 3:   12 Straight Lines Graphing mx plus b
  110.    wt: 3:   11 Straight Lines Graphing y=mx
  111.    wt: 3:   10 Straight Lines through Origin Equations More
  112.    wt: 3:   9 Straight Lines through Origin Equations
  113.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  114.    wt: 3:   28 Expressing products of sines cosines as sums
  115.    wt: 3:   2 point slope equation for a line
  116.    wt: 3:   1 Numerical view of lines and their equations
  117.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  118.    wt: 3:   8 Distance Between Points on a Line
  119.    wt: 3:   10 Dropping a perpendicular to line
  120.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  121.    wt: 3:   12 Real Numbers Line Signed Coordinates
  122.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  123.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  124.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  125.    wt: 3:   4 Location of Point in Decimal Addition
  126.    wt: 3:   3 Location of Point in Decimal Multiplication
  127.    wt: 3:   2 Counting Digits in Decimal Multiplication
  128.    wt: 3:   E Long Division Methods more
  129.    wt: 3:   D Long Division Methods
  130.    wt: 3:   C Three Decimal Subtraction Methods
  131.    wt: 3:   B Decimal Comparison and Subtraction
  132.    wt: 3:   A Decimal Addition Columm Methods
  133.    wt: 3:   7 Decimals Multiplication Methods Examples
  134.    wt: 3:   6 Column Methods for Decimal Multiplication
  135.    wt: 3:   5 Distributive Law for Whole Numbers
  136.    wt: 3:   6 Compound Interest Forward and Backwards
  137.    wt: 3:   3 Linear Equation Literal Solution More
  138.    wt: 3:   2 Linear Equation Literal Solution
  139.    wt: 3:   1 Changing Calculations
  140.    wt: 3:   4 GE III Animated Examples
  141.    wt: 3:   3 GE III Equation Addition and Multiplication
  142.    wt: 3:   2 GE II Comparison
  143.    wt: 3:   1 GE Substitution four examples
  144.    wt: 3:   2 Essentially one exercises three with solution
  145.    wt: 3:   1 Essentially One Unknown
  146.    wt: 3:   5 Algebraic Solutions Introduction
  147.    wt: 3:   Using Letters for Physical Quantities
  148.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  149.    wt: 3:   4 Counting with Trees Product Rule Take I
  150.    wt: 3:   3 Counting with Tables and Trees II
  151.    wt: 3:   2 Counting with Tables and Trees I
  152.    wt: 3:   4 signed coordinates for regions in space
  153.    wt: 3:   7 Converting or Changing Units
  154.    wt: 3:   20 Dividing Fractions the Why
  155.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  156.    wt: 3:   D Remainders Modulo 11 Pair Rule
  157.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  158.    wt: 3:   B Integer Long Division Multiple Choices
  159.    wt: 3:   A Associative Law Theorectical Note
  160.    wt: 3:   13 Subtraction with Additive Inverse
  161.    wt: 3:   10 Integer Multiplication Formulas
  162.    wt: 3:   8 Multiplication by Signed Numbers Integers
  163.    wt: 3:   5 Zero Movement and Additive Inverses
  164.    wt: 3:   4 Adding Movements wiht opposite directions
  165.    wt: 3:   3 Adding Movements with same direction
  166.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  167.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  168.    wt: 3:   23 Remainder Arithmetic Modulo 2
  169.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  170.    wt: 3:   21 Remainder Arithmetic Modulo 3
  171.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  172.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  173.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  174.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  175.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  176.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  177.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  178.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  179.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  180.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  181.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  182.    wt: 3:   5 Remainder Arithmetic Modulo 5
  183.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  184.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  185.    wt: 3:   1 Remainder Arithmetic Modulo 10
  186.    wt: 3:   11 Another Single Digit Divisor Example
  187.    wt: 3:   8 Correcting the Mistake
  188.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  189.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  190.    wt: 3:   Subtraction with J Conversions Example
  191.    wt: 3:   8 Subtraction with Units of Measure
  192.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  193.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  194.    wt: 3:   5 A Tip for Efficent Subtraction
  195.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  196.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  197.    wt: 3:   2 Subtraction Easy Case Examples
  198.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  199.    wt: 3:   8 What skills and work habits to require
  200.    wt: 3:   5. How to add decimals C. Examples
  201.    wt: 3:   4. How to add with decimals B with conversions
  202.    wt: 3:   3. How to add with decimals A sans conversions
  203.    wt: 3:   4 Definite Integrals Evaluation Exercises
  204.    wt: 3:   29 Chain Rule Optional Reading
  205.    wt: 3:   25 Chain Rule Animated Examples Continued
  206.    wt: 3:   23 Chain Rule in general
  207.    wt: 3:   19 Chain Rule for linear functions
  208.    wt: 3:   18 Chain Rule Introduction
  209.    wt: 3:   17 Derivatives of quotients of sine and cosine
  210.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  211.    wt: 3:   15 sine and cosine derivatives 3rd step
  212.    wt: 3:   14 sine and cosine derivatives 2nd step
  213.    wt: 3:   13 sine and cosine derivatives 1st step
  214.    wt: 3:   11 Limits at infinity Three Examples
  215.    wt: 3:   10 Three one sided limits with infinite values
  216.    wt: 3:   6 Continuity at a point
  217.    wt: 3:   3 Decimal insights for limits continuity convergence
  218.    wt: 3:   F.4 Finite Covering Theorem
  219.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  220.    wt: 3:   Chapter 16. Painless Theorem Proving
  221.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  222.    wt: 3:   Chapter 2 For and Against Mathematics
  223.    wt: 3:   H more Routine to non routine problem solving
  224.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  225.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  226.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  227.    wt: 3:   Systematic Algebra Skill Development Missing Links
  228.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  229.    wt: 2:   Appendix 1 primary and preschool mathematic
  230.    wt: 2:   K LAMP Musings Science Education
  231.    wt: 2:   I LAMP Introduction Study Habits
  232.    wt: 2:   F LAMP Introduction Prerequisites
  233.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  234.    wt: 2:   A Introduction Objectives
  235.    wt: 2:   Skills Chapter 0 Introduction
  236.    wt: 2:   11 pure mathematics
  237.    wt: 2:   9 combinatorics probability sets
  238.    wt: 2:   7 logic review and decimals an odd combination
  239.    wt: 2:   why bother
  240.    wt: 2:   Teach the teachers plus goals
  241.    wt: 2:   site origins
  242.    wt: 2:   key notes and themes
  243.    wt: 2:   Mathematics Education Professors
  244.    wt: 2:   learning takes time
  245.    wt: 2:   Education Reform Inconsistencies
  246.    wt: 2:   Maps Plans Drawings
  247.    wt: 2:   Secondary Three Mathematics
  248.    wt: 2:   Secondary Two Mathematics
  249.    wt: 2:   Secondary One Mathematics
  250.    wt: 2:   talk the algebra talk
  251.    wt: 2:   teaching tips
  252.    wt: 2:   mathematics curriculum shifts
  253.    wt: 2:   Lessening Algebra Difficulties
  254.    wt: 2:   the trouble with algebra
  255.    wt: 2:   three goals for Mathematics Education
  256.    wt: 2:   04 29 New Mathematics Curriculum
  257.    wt: 2:   04 25 when to stop or suspend mathemat
  258.    wt: 2:   02 20 mathematics education references
  259.    wt: 2:   three aims for mathematics students
  260.    wt: 2:   Operational Viewpoint to Value
  261.    wt: 2:   formal or informal peer review
  262.    wt: 2:   Theory of Knowledge
  263.    wt: 2:   How to be a better instructor
  264.    wt: 2:   need for a mixed mathematics curriculum
  265.    wt: 2:   Leaner mathematics curriculum
  266.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  267.    wt: 2:   24 Standards For Skill Develoment Take II
  268.    wt: 2:   24 Standards For Skill Develoment
  269.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  270.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  271.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  272.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  273.    wt: 2:   17 Math Booklets for children and young teenagers
  274.    wt: 2:   14 Multiplication and Times Tables
  275.    wt: 2:   13 Addition and Addition Tables
  276.    wt: 2:   11 Help and Defend Your Child or Teens Education
  277.    wt: 2:   7 Student Motivation
  278.    wt: 2:   5 Patience Please for Yourself and Your Charges
  279.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  280.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  281.    wt: 2:   26 Function definitions done and coming
  282.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  283.    wt: 2:   17 Function maxima minima and their location
  284.    wt: 2:   9 Set theory term relation possible origins
  285.    wt: 2:   7 Functions with finite domains
  286.    wt: 2:   4 Function notation in and beyond mathematics
  287.    wt: 2:   Introduction Reading Guide
  288.    wt: 2:   5 quadratics completing the square
  289.    wt: 2:   3 quadratics factoring by inspection
  290.    wt: 2:   2 quadratics graphing in general
  291.    wt: 2:   11 arctan left inverse of tangent Graph
  292.    wt: 2:   9 motivation for name arcsin
  293.    wt: 2:   2 cosine function more properties
  294.    wt: 2:   1 cosine function properties
  295.    wt: 2:   Parallel Lines and Parallel Transversals
  296.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  297.    wt: 2:   14 Straight Lines Equations General Case
  298.    wt: 2:   8 Straight Lines Equation for vertical
  299.    wt: 2:   7 Tangent Function is odd on this domain
  300.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  301.    wt: 2:   1 Straight Lines Slope Concept
  302.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  303.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  304.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  305.    wt: 2:   27 Logarithmic use of products of sines and cosines
  306.    wt: 2:   26 Formulas for products of sines and cosines
  307.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  308.    wt: 2:   21 sine and cosine Half Angle Formulas
  309.    wt: 2:   20 sine and cosine Double Angle Formulas
  310.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  311.    wt: 2:   18 sum of sinusoidal waves as a single wave
  312.    wt: 2:   17D cis formulas for sine cosines and tangent
  313.    wt: 2:   17C sine and cosine double triple angle formulas
  314.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  315.    wt: 2:   15 sine cosine Complementary Angle Relations
  316.    wt: 2:   14 cosine even and sine and tangent are odd
  317.    wt: 2:   11 tangent function undefined when terminal side vertical
  318.    wt: 2:   10 Graphs of sines and cosines many periods
  319.    wt: 2:   9 Graphs of sine and cosine over one period
  320.    wt: 2:   7 period of sine and cosine
  321.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  322.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  323.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  324.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  325.    wt: 2:   12 cis formulas for sine cosines and tangent
  326.    wt: 2:   11 sine and cosine double triple angle formulas
  327.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  328.    wt: 2:   3 Trigonometric Ratios sine and cosine
  329.    wt: 2:   4 Similarity Definition with Coordinate
  330.    wt: 2:   12 Links Lessons elsewhere
  331.    wt: 2:   10 Midpoint of [a b] and [b a]
  332.    wt: 2:   8 Mid Point Formula
  333.    wt: 2:   4 Equations for lines three forms
  334.    wt: 2:   3 Slope product for perpendicular lines
  335.    wt: 2:   12 Spatial Coordinates
  336.    wt: 2:   11 Triangle Inequality
  337.    wt: 2:   4 Polar Coordinates to and from
  338.    wt: 2:   3 Rectangular Coordinates Review
  339.    wt: 2:   2 Cartesian Coordinates with signs
  340.    wt: 2:   1 Cartesian Coordinates sans signs
  341.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  342.    wt: 2:   PS E Multiplication with Polar Coordinates
  343.    wt: 2:   PS D Addition with Cartesian Coordinates
  344.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  345.    wt: 2:   14 Parallel Lines Postulate
  346.    wt: 2:   1 Initial Concepts and Terms
  347.    wt: 2:   musings do not puiblish real numbers
  348.    wt: 2:   A Modular and Remainder Arithmetic
  349.    wt: 2:   21 Addition of Multiples of a Single Vector
  350.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  351.    wt: 2:   15 Head to Tails in place Addition Associative
  352.    wt: 2:   13 Arrows and Vectors in a Plane
  353.    wt: 2:   9 Division with Digits after Decimal Point
  354.    wt: 2:   1 Fractions with Finite Decimal Expansions
  355.    wt: 2:   3 Inequalities Algebraically
  356.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  357.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  358.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  359.    wt: 2:   5 Triangle Area Formula Backwards
  360.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  361.    wt: 2:   5 Greater More Less Than Signs in General
  362.    wt: 2:   9 Coordinates for Regions in Space
  363.    wt: 2:   7 Real Numbers as Line Cordinates
  364.    wt: 2:   More Exercises
  365.    wt: 2:   Simple Exercises
  366.    wt: 2:   6 Algebraic Solution Example
  367.    wt: 2:   4 Four Examples Fractional Coefficients
  368.    wt: 2:   3 Four Examples
  369.    wt: 2:   2 Three Examples
  370.    wt: 2:   1 Proper Equal Sign Usage
  371.    wt: 2:   Skill Development Notes
  372.    wt: 2:   10 One Example
  373.    wt: 2:   9 Three Examples
  374.    wt: 2:   8 One Example
  375.    wt: 2:   7 Two Examples
  376.    wt: 2:   6 Three Examples
  377.    wt: 2:   5 Three Examples
  378.    wt: 2:   4 Two Examples
  379.    wt: 2:   3 Two Examples
  380.    wt: 2:   2 Three Examples
  381.    wt: 2:   Formula Usage Show Work Format
  382.    wt: 2:   13 Naming Identifying Formulas with Words
  383.    wt: 2:   7 Compound Interest Formula Introduction
  384.    wt: 2:   1 Written work formats for developing and showing skill
  385.    wt: 2:   9 Sets in Probability and Statistics
  386.    wt: 2:   3 Counting with Sets etc
  387.    wt: 2:   1 Finite Sets
  388.    wt: 2:   4 Greater More Less Than Signs in General
  389.    wt: 2:   1 Squares and Square Roots Introduction
  390.    wt: 2:   2 Least Common Multiple LCM intro via list method
  391.    wt: 2:   1 Least Common Multiples LCM Introduction
  392.    wt: 2:   10 dividing signed numbers
  393.    wt: 2:   9 subtracting signed numbers
  394.    wt: 2:   8 multiplying signed numbers
  395.    wt: 2:   7 negative and additive inverse
  396.    wt: 2:   6 adding signed numbers
  397.    wt: 2:   3 signed coordinates for maps and planes
  398.    wt: 2:   2 signed and unsigned numbers as coordinates
  399.    wt: 2:   3 Multiplying Units and Numbers
  400.    wt: 2:   21 Working With Signs
  401.    wt: 2:   19 Dividing Fractions How TO
  402.    wt: 2:   7 Multiplication by Signs
  403.    wt: 2:   6 Multiplication by Natural Numbers
  404.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  405.    wt: 2:   26 Divisibility by 2 3 5 Example
  406.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  407.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  408.    wt: 2:   17 Identify and Count Factors using Primes
  409.    wt: 2:   16 video Factors of 980 using prime
  410.    wt: 2:   15 video Factors of 20 using Prime Factorization
  411.    wt: 2:   13 video Factors of 24 using prime
  412.    wt: 2:   12 LCD GCD and LCM using Primes
  413.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  414.    wt: 2:   4 video Prime Factorization Introduction
  415.    wt: 2:   7 Long Divison Mistake Catching
  416.    wt: 2:   5 Long Division Include Zeroes or not
  417.    wt: 2:   3 Division Single Digit Divisor Example
  418.    wt: 2:   2 Division with Single Digit Divisors
  419.    wt: 2:   C Counting Areas with Powers of Ten
  420.    wt: 2:   Video Power Notation in Decimal Expansion
  421.    wt: 2:   11 Place Value SI Standard International way
  422.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  423.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  424.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  425.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  426.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  427.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  428.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  429.    wt: 2:   The 20 Times Table
  430.    wt: 2:   The 12 Times Table Visually
  431.    wt: 2:   012 Division of Time Intervals by Time Intervals
  432.    wt: 2:   8 Addition of Time Intervals via subtotaling
  433.    wt: 2:   4 Mixing and Changing Units of Time
  434.    wt: 2:   A Related Material in Volume 3
  435.    wt: 2:   3 Two Chain Rule Method Exercises
  436.    wt: 2:   A Related lessons in Volume 3
  437.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  438.    wt: 2:   A Chain Rule Real Player video examples
  439.    wt: 2:   33 Chain Rule Real Player video examples
  440.    wt: 2:   31 Derivatives of inverse functions
  441.    wt: 2:   30Chain Rule A Proof
  442.    wt: 2:   28 Chain Rule Preparation for a Proof
  443.    wt: 2:   24 Chain Rule Animated Examples
  444.    wt: 2:   22 Chain Rule for polynomials
  445.    wt: 2:   21 Chain Rule for powers
  446.    wt: 2:   20 Chain Rule for Pulley Systems
  447.    wt: 2:   10 Power rule for negative integers
  448.    wt: 2:   3 Motivation for Limit Definition Take 2
  449.    wt: 2:   2 Motivation for Limit Definition Take 1
  450.    wt: 2:   9 Limits Continuity and Composition
  451.    wt: 2:   1 Numerical introduction
  452.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  453.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  454.    wt: 2:   F.5a Equicontinuity Theorems
  455.    wt: 2:   F.3 Intermediate Value Theorem
  456.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  457.    wt: 2:   Chapter 23 Links To Trigonometry
  458.    wt: 2:   Chapter 18. Slopes Areas Integration
  459.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  460.    wt: 2:   Chapter 11. Graphing Slope versus Position
  461.    wt: 2:   Chapter 9 About First Courses in Calculus
  462.    wt: 2:   Chapter 8. Slope Interpretation
  463.    wt: 2:   Chapter 1.Introduction
  464.    wt: 2:   Chapter 25. Mathematical Induction Examples
  465.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  466.    wt: 2:   Chapter 15. Solving Linear Equations
  467.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  468.    wt: 2:   Chapter 10 Describing and Changing Calculations
  469.    wt: 2:   Annotated Links to Material Elsehwere
  470.    wt: 2:   Postscript B Mathematics Education References
  471.    wt: 2:   Chapter 11 Elementary Instruction
  472.    wt: 2:   Chapter 9 The Two Ends
  473.    wt: 2:   Chapter 8 Modern Instruction
  474.    wt: 2:   Chapter 1 Introduction
  475.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  476.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  477.    wt: 2:   O On Learning Mathematics and Science
  478.    wt: 2:   N Improving Marks on Tests and Finals
  479.    wt: 2:   G. Written work formats for developing and showing skill
  480.    wt: 2:   C. Domino effect of being careful
  481.    wt: 2:   7 Games and Activities for Instruction
  482.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  483.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  484.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  485.    wt: 2:   Mathematics Education References
  486.    wt: 2:   Mathematics Education References
  487.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  488.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  489.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  490.    wt: 1:   Appendix 2 primary school Arithmetic 01
  491.    wt: 1:   Skills Chapter 5 Calculus
  492.    wt: 1:   Skills Chapter 4 Logic
  493.    wt: 1:   Skills Chapter 3 Algebra
  494.    wt: 1:   Skills Chapter 2 Geometry
  495.    wt: 1:   Skills Chapter 1 Arithmetic
  496.    wt: 1:   10 statistics
  497.    wt: 1:   8 analytic geometry etc
  498.    wt: 1:   6 polynomials etc
  499.    wt: 1:   5 logarithms and exponentials etc
  500.    wt: 1:   4 algebra
  501.    wt: 1:   3 Euclidean Geometry Leanly
  502.    wt: 1:   2 arithmetic with signed numbers
  503.    wt: 1:   1 arithmetic with unsigned numbers
  504.    wt: 1:   What is POMME
  505.    wt: 1:   which way to go
  506.    wt: 1:   website reviews
  507.    wt: 1:   three goals to set for students
  508.    wt: 1:   permissions for teachers
  509.    wt: 1:   Math Ed if it must be short make it lean effective
  510.    wt: 1:   Applied Maths Program14092009 POMME variant
  511.    wt: 1:   activities for students
  512.    wt: 1:   site eurekas
  513.    wt: 1:   About site lesson plans
  514.    wt: 1:   teacher certification
  515.    wt: 1:   modern education
  516.    wt: 1:   what should be learnt and When
  517.    wt: 1:   Postscript 2007 01 10
  518.    wt: 1:   five decades make a difference
  519.    wt: 1:   how letters appear
  520.    wt: 1:   three difficulties
  521.    wt: 1:   What to Tell Students
  522.    wt: 1:   geometric implications for algebra
  523.    wt: 1:   05 13 OldSiteEntrancePage
  524.    wt: 1:   02 21 words for teachers
  525.    wt: 1:   standards for course material
  526.    wt: 1:   Four ways to improve education reform
  527.    wt: 1:   Motivation and Context Problem
  528.    wt: 1:   education an empirical art
  529.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  530.    wt: 1:   chapitre 06 00 Chaines de la raison
  531.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  532.    wt: 1:   chapitre 01 00 Introduction
  533.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  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:   Ages 12 to 14 Skills with take home value
  540.    wt: 1:   Ages 12 to 14 Geometry
  541.    wt: 1:   Ages 12 to 14 Arithmetic
  542.    wt: 1:   Ages 10 to 12 Geometry
  543.    wt: 1:   Ages 10 to 12 Arithmetic
  544.    wt: 1:   Ages 9 to 10
  545.    wt: 1:   Ages 8 to 9
  546.    wt: 1:   Ages 7 to 8
  547.    wt: 1:   Ages 6 to 7
  548.    wt: 1:   Ages 4 plus to 5 plus
  549.    wt: 1:   Ages 3 plus to 4 plus
  550.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  551.    wt: 1:   23 Inverse Functions
  552.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  553.    wt: 1:   19 Horizontal line rule and method
  554.    wt: 1:   18 Vertical Line Rule and Method
  555.    wt: 1:   14 Surjections Injections Bijections
  556.    wt: 1:   12 Function Domain Recognition Exercises
  557.    wt: 1:   11 Function Domain Range Source and Targets
  558.    wt: 1:   10 Interval Notation
  559.    wt: 1:   3 Formula or function graphing exercise
  560.    wt: 1:   1 Geometric Introduction of Function Notation
  561.    wt: 1:   9 quadratics physical and further context
  562.    wt: 1:   1 quadratics graphing exercises
  563.    wt: 1:   Quadratics in 10 steps
  564.    wt: 1:   11 Growth and Decay in Biology
  565.    wt: 1:   8 Notes for instructors or tutors
  566.    wt: 1:   7 Links Lessons Elsewhere
  567.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  568.    wt: 1:   4 Polynomials Long division linear divisor
  569.    wt: 1:   Rewriting algebraic substitution as function substitutions
  570.    wt: 1:   12 motivation for term arctan
  571.    wt: 1:   6 Graph of arccos function
  572.    wt: 1:   4 possible motivation for term arccos
  573.    wt: 1:   7 Radian Measures in special Triangles
  574.    wt: 1:   1 Degrees and Radians Introduction
  575.    wt: 1:   13 Velocity Vectors in Physics
  576.    wt: 1:   12 From Applied To Pure Mathematics
  577.    wt: 1:   9 Head to Tail Coordinate View
  578.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  579.    wt: 1:   6 Vectors with Coordinates
  580.    wt: 1:   2 Signed Coordinates
  581.    wt: 1:   1 Unsigned Coordinates
  582.    wt: 1:   Triangle Angles Sum To 180 Degrees
  583.    wt: 1:   5 Tangent Function Graph
  584.    wt: 1:   4 Tangent Function Properties
  585.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  586.    wt: 1:   17G Pythagorean Theorem Converse
  587.    wt: 1:   17F Law of cosines
  588.    wt: 1:   17A The complex number valued trig function cis
  589.    wt: 1:   1 Unit Points Reflections Rotations
  590.    wt: 1:   16 References and Originality Question
  591.    wt: 1:   15 Pythagorean Theorem Converse
  592.    wt: 1:   14 Law of cosines
  593.    wt: 1:   9 The complex number valued trig function cis
  594.    wt: 1:   5 An Easy Proof of the Distributive Law
  595.    wt: 1:   1 Rectangular Polar Coordinates Review
  596.    wt: 1:   8 Triangles Cascade Problem Solving
  597.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  598.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  599.    wt: 1:   Why Trigonometry the whyslopes view
  600.    wt: 1:   11 Triangle Similarity Missing Side Problem
  601.    wt: 1:   6 Geometric Diagrams in Class
  602.    wt: 1:   3 Similarity by Design with coordinates
  603.    wt: 1:   Four Simple Exercises
  604.    wt: 1:   11 A Partial Summary
  605.    wt: 1:   7 Exercises to test skill and concept mastery
  606.    wt: 1:   5 Algebraic View of Slopes
  607.    wt: 1:   What is and is not here
  608.    wt: 1:   13 Pythagorean spatial distance formulas
  609.    wt: 1:   10 Pythagorean plane distance formula
  610.    wt: 1:   7 Complex Numbers Appetizer
  611.    wt: 1:   6 Polar Multiplication and Rotation
  612.    wt: 1:   5 Cartesian Addition and Translation
  613.    wt: 1:   PS H Distributive Law For Complex Numbers
  614.    wt: 1:   PS G Rotation Distributes over Addition
  615.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  616.    wt: 1:   PS B Parallelogram Construction Methods
  617.    wt: 1:   PS A Kite Construction Methods
  618.    wt: 1:   21 Parallelograms
  619.    wt: 1:   19 Right Triangle Similarity
  620.    wt: 1:   18 Triangle Similarity Take 1
  621.    wt: 1:   17 Right Bisectors of Triangle Sides
  622.    wt: 1:   16 Angles Subtended By Chords and Diameters
  623.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  624.    wt: 1:   13 Angle Side Angle Failure
  625.    wt: 1:   12 Side Angle Side Failure
  626.    wt: 1:   11 Triangle Construction Fails
  627.    wt: 1:   9 Construction of a right bisector
  628.    wt: 1:   8 Isoceles Triangles
  629.    wt: 1:   7 Angle Side Angle
  630.    wt: 1:   6 Ruler and compass Angle Bisection
  631.    wt: 1:   5 Side Angle Side
  632.    wt: 1:   4 Side Side Side
  633.    wt: 1:   3 Isometry of Triangles Congruence
  634.    wt: 1:   2 Correspondence between Triangles
  635.    wt: 1:   Short Course on Euclidean Geometry
  636.    wt: 1:   6 Figuring with Maps Not to Scale
  637.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  638.    wt: 1:   2 Measuring Area Directly
  639.    wt: 1:   A Signed Number Arithmetic Review
  640.    wt: 1:   26 More Less Greater Than Comparison
  641.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  642.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  643.    wt: 1:   23 Distributive Law Two Derivations
  644.    wt: 1:   22 Multiplication of Signed Numbers
  645.    wt: 1:   19 Signed Multiples of Vectors
  646.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  647.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  648.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  649.    wt: 1:   11 Signed Number Addition and Addition Properties
  650.    wt: 1:   8 Division and Mulplication of Compound Fractions
  651.    wt: 1:   5 Areas of Rectangles Revisited
  652.    wt: 1:   4 Fraction Operations Axiomatic Development
  653.    wt: 1:   2 Fraction Operations Physical Development
  654.    wt: 1:   5 Proportionality in Equivalent Fractions
  655.    wt: 1:   5 Equality in Algebra
  656.    wt: 1:   4 Comparison of Negative Numbers
  657.    wt: 1:   3 More and Less Than with Unlike Signs
  658.    wt: 1:   2 More and Less Than for Counts and Measures
  659.    wt: 1:   1 Real Numbers Comparison
  660.    wt: 1:   12 Real Number Additive Inverses or Negatives
  661.    wt: 1:   8 Coordinates for Maps and Planes
  662.    wt: 1:   2 Integers
  663.    wt: 1:   5 Independent versus Dependent Variables
  664.    wt: 1:   4 Changing Letters
  665.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  666.    wt: 1:   8 Compound Interest Formula Evaluation
  667.    wt: 1:   2 Another Rectangle Area Formula Example
  668.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  669.    wt: 1:   8 Sets of Numbers
  670.    wt: 1:   7 Cautious or Safe Set Construction
  671.    wt: 1:   6 Power Set Notation
  672.    wt: 1:   5 Product Builder Notation
  673.    wt: 1:   4 Subset Builder Notation
  674.    wt: 1:   2 Venn Diagrams
  675.    wt: 1:   5 Talking about Numbers and Quantities
  676.    wt: 1:   3 Adding Words To Arithmetic
  677.    wt: 1:   arithmetic videos Real Player Format
  678.    wt: 1:   3 Comparison of Negative Numbers
  679.    wt: 1:   2 More and Less Than with Unlike Signs
  680.    wt: 1:   1 More and Less Than for Counts and Measures
  681.    wt: 1:   5 Square Roots with primes more still
  682.    wt: 1:   4 Square Roots with primes more
  683.    wt: 1:   3 Properties of Square Roots with example
  684.    wt: 1:   2 Square Roots with Prime
  685.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  686.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  687.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  688.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  689.    wt: 1:   13 GCD from given Prime Factorization
  690.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  691.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  692.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  693.    wt: 1:   8 GCD from Euclidean Algorithm
  694.    wt: 1:   7 GCD and LCM from prime factorization
  695.    wt: 1:   6 GCD from Prime
  696.    wt: 1:   5 Common Divisors 60 45 via Prime
  697.    wt: 1:   4 LCM of 8 and 10 via Prime
  698.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  699.    wt: 1:   12 GCD 2700 288 via Prime
  700.    wt: 1:   11 What are real lengths and numbers
  701.    wt: 1:   5 lengths and signs of numbers
  702.    wt: 1:   6 Simplification of Fractions with Units
  703.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  704.    wt: 1:   4 Fractions with Units
  705.    wt: 1:   2 Equality and Units
  706.    wt: 1:   1 Addition and Subtraction with Units
  707.    wt: 1:   D Three Term Ratios
  708.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  709.    wt: 1:   B Fractions and Two Term Ratios
  710.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  711.    wt: 1:   22 Complex Compound Fractions
  712.    wt: 1:   21 Reciprocals for Fractions and Wholes
  713.    wt: 1:   18 Efficient Ways to Multiply
  714.    wt: 1:   17 Efficient Ways to Add and Subtract
  715.    wt: 1:   16 Addition Subtraction Comparision Compared
  716.    wt: 1:   13 Fraction Comparison Algebraic View
  717.    wt: 1:   12 Fraction Comparison
  718.    wt: 1:   11 Simplification an Algebraic View
  719.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  720.    wt: 1:   9 Improper Fractions and Mixed Numbers
  721.    wt: 1:   8 Numerals Fractionals Quantals Take II
  722.    wt: 1:   7 Numerals Fractionals Quantals
  723.    wt: 1:   6 Multiplication of Mixed Numbers
  724.    wt: 1:   6 Multiplication Algebraically Take II
  725.    wt: 1:   5 Equivalent Fractions
  726.    wt: 1:   4 Fraction Multiplication
  727.    wt: 1:   3 Unit fraction of a fraction
  728.    wt: 1:   2 Unit Fraction Multiplication
  729.    wt: 1:   1 What is a fraction Take II
  730.    wt: 1:   1 What is a fraction
  731.    wt: 1:   20 Uniqueness of Prime Factorization
  732.    wt: 1:   19 video Prime Factorization Unique
  733.    wt: 1:   18 video Count Factors given Prime Factorization
  734.    wt: 1:   14 video Factors of 24 Take II
  735.    wt: 1:   11 Efficient Square Rule Use
  736.    wt: 1:   10 video Prime Factorization upto 23 squared
  737.    wt: 1:   9 video Prime Factorization upto 19 squared
  738.    wt: 1:   8 video Prime Factorization upto 19
  739.    wt: 1:   7 Calculator Usage Notes and Cautions
  740.    wt: 1:   5 Prime Factorization and a Square Rule
  741.    wt: 1:   3 video Primes and Composites from 9 times table
  742.    wt: 1:   2 Prime and Composites less than 16
  743.    wt: 1:   1 video how Products are bigger than factor
  744.    wt: 1:   Long Division Backwards more
  745.    wt: 1:   Long Division Backward
  746.    wt: 1:   Division with Counts and Length
  747.    wt: 1:   Long Division forwards and backwards Example 3
  748.    wt: 1:   Long Division forwards and backwards Example 2
  749.    wt: 1:   Long Division forwards and backwards Example 1
  750.    wt: 1:   12 Why Long Division Works Take III
  751.    wt: 1:   10 Division by Five Long and Short Ways
  752.    wt: 1:   9 Why Long Division Works Take II
  753.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  754.    wt: 1:   4 Division with 2 Digit Divsors
  755.    wt: 1:   1 Divsion Physical Examples
  756.    wt: 1:   D Decimal Multiplication Methods Derived
  757.    wt: 1:   B Powers of Ten
  758.    wt: 1:   A Elementary Basis for Multiplication Methods
  759.    wt: 1:   6 Multiplication Commutes Order Not Important
  760.    wt: 1:   5 Decimal Fraction Multiplication
  761.    wt: 1:   4 Two and Three Digit Multipliers
  762.    wt: 1:   3 More One Digit Multipliers
  763.    wt: 1:   2 One Digit Multipliers
  764.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  765.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  766.    wt: 1:   1 Why 3 times 5 gives 15
  767.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  768.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  769.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  770.    wt: 1:   Quick history of numbers and algebra
  771.    wt: 1:   Exact Arithmetic Wholes and Fractions
  772.    wt: 1:   Formula Evaluation how to show work
  773.    wt: 1:   Expression Evaluation how to show work
  774.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  775.    wt: 1:   About folder contents
  776.    wt: 1:   016 Numbering Occidental Calendar Days
  777.    wt: 1:   015 School and work day counting tables
  778.    wt: 1:   014 Counting Days with Calendars
  779.    wt: 1:   011 Division of Time Intervals By Numbers
  780.    wt: 1:   010 Repeated Addition of Time Intervals
  781.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  782.    wt: 1:   7 Addition of Time Intervals
  783.    wt: 1:   2 Time and Date Matters in School
  784.    wt: 1:   1 Intro of Kids To Time Date Skills
  785.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  786.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  787.    wt: 1:   5 Area Under Curve Exercise
  788.    wt: 1:   4 Second derivative test exercise example
  789.    wt: 1:   3 Second derivative test
  790.    wt: 1:   2 Second derivative test prequel
  791.    wt: 1:   38 Formulas and derivatives for powers and roots
  792.    wt: 1:   36 Cube root derivative animated
  793.    wt: 1:   34 Derivative of exponential function
  794.    wt: 1:   12 Quotient rule examples
  795.    wt: 1:   11 Quotient rule
  796.    wt: 1:   9 Reciprocal rule
  797.    wt: 1:   8 Differentiation of polynomials
  798.    wt: 1:   7 Animated Differentiation Examples
  799.    wt: 1:   6 Power rule from product rule
  800.    wt: 1:   5 Product Rule
  801.    wt: 1:   4 Sum Rule
  802.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  803.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  804.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  805.    wt: 1:   8 Four Animated Examples
  806.    wt: 1:   7 Evaluation by immediate or delayed substitution
  807.    wt: 1:   5 Jumps and absence of unlimited error control
  808.    wt: 1:   4 Numerical properties
  809.    wt: 1:   2 Algebraic codification
  810.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  811.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  812.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  813.    wt: 1:   G.3 Constant Difference Theorem Proof
  814.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  815.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  816.    wt: 1:   F.5b Extreme Value Theorem
  817.    wt: 1:   F.2 Closed Range Theorem
  818.    wt: 1:   F.1 What Functions are Continuous
  819.    wt: 1:   E1 Error Control Inequalities
  820.    wt: 1:   C Triangle Inequalities
  821.    wt: 1:   B3 Bolzano Weierstrass Theorem
  822.    wt: 1:   PostScript For and Against Decimal Perspectives
  823.    wt: 1:   A1. Introduction
  824.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  825.    wt: 1:   Chapter 22 Complex Numbers
  826.    wt: 1:   Chapter 21 Arrow Addition
  827.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  828.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  829.    wt: 1:   Chapter 17. Area Approximation
  830.    wt: 1:   Chapter 16. Velocity Approximation
  831.    wt: 1:   Chapter 15. Slope Approximation
  832.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  833.    wt: 1:   Chapter 13. Acceleration
  834.    wt: 1:   Chapter 12. Units and Slopes
  835.    wt: 1:   Chapter 10 Slopes and Units
  836.    wt: 1:   Chapter 7 Slopes and Velocity
  837.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  838.    wt: 1:   Chapter 5. Slope Sign Tests
  839.    wt: 1:   Chapter 4. More Slope Sign Analysis
  840.    wt: 1:   Chapter 3. Slope Sign Analysis
  841.    wt: 1:   Chapter 2. Slopes and Ski Trails
  842.    wt: 1:   Fall 1983 Calculus Appetizer
  843.    wt: 1:   Foreword
  844.    wt: 1:   Appendix E. How To Study Mathematics and Why
  845.    wt: 1:   Appendix D. What to do in School and Why
  846.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  847.    wt: 1:   Chapter 31 Direct and Indirect Reason
  848.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  849.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  850.    wt: 1:   Chapter 21. Third Reading Guide
  851.    wt: 1:   Chapter 13. Second Reading Guide
  852.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  853.    wt: 1:   Chapter 4 Longer Chains of Reason
  854.    wt: 1:   Chapter 3 Chains of Reason
  855.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  856.    wt: 1:   Postscript A Three Remarks
  857.    wt: 1:   Chapter 12 Four Phases
  858.    wt: 1:   Chapter 10 Transition
  859.    wt: 1:   Chapter 7 Two Treatments of Geometry
  860.    wt: 1:   Chapter 5 Four References
  861.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  862.    wt: 1:   Chapter 3 Algebra Difficulties
  863.    wt: 1:   Foreword
  864.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  865.    wt: 1:   Postscript B More on Story Telling and Reason
  866.    wt: 1:   Postscript A Story Telling
  867.    wt: 1:   Chapter 24 Direct and Indirect Reason
  868.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  869.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  870.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  871.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  872.    wt: 1:   Chapter 7 Longer Chains of Reason
  873.    wt: 1:   Chapter 6 Chains of Reason
  874.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  875.    wt: 1:   Chapter 1 Introduction
  876.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  877.    wt: 1:   S Adding words to algebra
  878.    wt: 1:   R Why Learn Mathematics Skills
  879.    wt: 1:   N Mathematics Prepare for College Studies
  880.    wt: 1:   J. More on written work and showing skill
  881.    wt: 1:   H Jigsaw puzzles and problem solving
  882.    wt: 1:   F. The student teacher tutor feedback loop
  883.    wt: 1:   B. Domino effect of errors
  884.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  885.    wt: 1:   Chapter 8 Skipped Topics and Why
  886.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  887.    wt: 1:   Chapter 6 More Algebra and Geometry
  888.    wt: 1:   Chapter 3 Algebra Starter Lessons
  889.    wt: 1:   Chapter 2 Why Sets
  890.    wt: 1:   Chapter 1 Arithmetic
  891.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  892.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  893.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  894.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  895.    wt: 1:   Implementation Notes
  896.    wt: 1:   More Algebra and Slope based Calculus Preview
  897.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  898.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  899.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  900.    wt: 1:   Which Way To Go
  901.    wt: 1:   The Math Forum and Site Content

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

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

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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