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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30 matches:

  1.    wt: 3:   Direct Current Electric Circuits/
  2.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 3:   A Origins of Counting and Figuring Methods/
  4.    wt: 3:   Step 4 Gaussian Elimination/
  5.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  6.    wt: 2:   12 Function Translating and Rescaling/
  7.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 2:   Step 1 Stick diagram and fractions/
  9.    wt: 2:   3 Solving Linear Equations/
  10.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 2:   A Decimal Counting and Adding Methods/
  12.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 1:   11 Parallel Straight Lines and Transversals/
  14.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  15.    wt: 1:   4 Lines and Slopes Take 1/
  16.    wt: 1:   3 Cartesian and Polar Coordinates/
  17.    wt: 1:   B Real Numbers Extrinsic Development/
  18.    wt: 1:   10 Examples of Algebraic Reasoning/
  19.    wt: 1:   8 Unifying Theme For Algebra/
  20.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  21.    wt: 1:   1 Working With Sets/
  22.    wt: 1:   9 Combinatorics Trees Tables and Products/
  23.    wt: 1:   5 Integers/
  24.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  25.    wt: 1:   5 Lessons on Integration/
  26.    wt: 1:   4 Lessons on Using Derivatives/
  27.    wt: 1:   38 Lessons on Calculating Derivatives/
  28.    wt: 1:   13 Lessons on Limits and Continuity/
  29.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  30.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

492 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 4:   1 Like resistors in series
  3.    wt: 4:   F Unlike Resistors in Series
  4.    wt: 4:   16 Increasing or decreasing on intervals
  5.    wt: 4:   7 arcsin left inverse of sine Definition
  6.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  7.    wt: 4:   6 Intersection of lines by solving linear systems
  8.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  9.    wt: 4:   14 Adding and Subtracting with Like Denominators
  10.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  11.    wt: 3:   J LAMP Introduction Extrinsic Origins
  12.    wt: 3:   Different Kinds of Reasoning in maths
  13.    wt: 3:   fairness and inductive principles for instruction
  14.    wt: 3:   3 Like resistors in parallel
  15.    wt: 3:   2 Unlike resistors in parallel01
  16.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  17.    wt: 3:   20 Interchanging coordinates a reflection
  18.    wt: 3:   8 arcsin left inverse of sine Graph
  19.    wt: 3:   3 Left Inverse of cosine arccos definition
  20.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  21.    wt: 3:   Straight Lines Instersection Solving Equations
  22.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  23.    wt: 3:   28 Expressing products of sines cosines as sums
  24.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  25.    wt: 3:   7 Adding decimal fractions using decimal point
  26.    wt: 3:   2 Indefinite Integrals Exercises
  27.    wt: 3:   1 Chain Rule in Reverse Integration Method
  28.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  29.    wt: 3:   26 Chain Rule Recognising outer inner functions
  30.    wt: 3:   H more Routine to non routine problem solving
  31.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  32.    wt: 3:   Helping the Blind in Logic and Mathematics
  33.    wt: 2:   H LAMP Introduction Instructional Concepts
  34.    wt: 2:   G LAMP Introduction Problem Solving Skills
  35.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  36.    wt: 2:   Ramblings Extrinsic numbers theory
  37.    wt: 2:   Ramblings Introduction Algebra Essay
  38.    wt: 2:   links Education Resources online
  39.    wt: 2:   grouping students according to ability
  40.    wt: 2:   teaching tutoring algebraic reason
  41.    wt: 2:   mathematics instruction in general
  42.    wt: 2:   three kinds of reason in mathematics
  43.    wt: 2:   cultivating intelligence
  44.    wt: 2:   Prequel In For A Penny In For A Pound
  45.    wt: 2:   chapitre 07 01 principle D induction mathematique
  46.    wt: 2:   Home Tutoring and Home Schooling
  47.    wt: 2:   2 Reading and Writing Skills
  48.    wt: 2:   26 Function definitions done and coming
  49.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  50.    wt: 2:   7 Functions with finite domains
  51.    wt: 2:   Introduction Reading Guide
  52.    wt: 2:   3 quadratics factoring by inspection
  53.    wt: 2:   2 quadratics graphing in general
  54.    wt: 2:   16 cotangent function Definition Graph and Inverse
  55.    wt: 2:   15 cosecant function Definition Graph and Inverse
  56.    wt: 2:   14 secant function Definition Graph and Inverse
  57.    wt: 2:   13 cosecant function Definition Graph and Inverse
  58.    wt: 2:   10 arctan left inverse of tangent Definition
  59.    wt: 2:   5 Swapping Coordinates is a reflection
  60.    wt: 2:   4 graphing y=Asin(x c)
  61.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  62.    wt: 2:   Parallel Lines and Interior Angles
  63.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  64.    wt: 2:   Straight Lines ASA Intersection Study More
  65.    wt: 2:   Straight Lines ASA Intersection Study
  66.    wt: 2:   Straight Lines Intersection of
  67.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  68.    wt: 2:   C Straight Lines Slope from Coordinates
  69.    wt: 2:   B Straight Line Slope Scaling Properties More
  70.    wt: 2:   A Straight Line Slope Scaling Properties
  71.    wt: 2:   12 Straight Lines Graphing mx plus b
  72.    wt: 2:   11 Straight Lines Graphing y=mx
  73.    wt: 2:   10 Straight Lines through Origin Equations More
  74.    wt: 2:   9 Straight Lines through Origin Equations
  75.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  76.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  77.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  78.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  79.    wt: 2:   27 Logarithmic use of products of sines and cosines
  80.    wt: 2:   26 Formulas for products of sines and cosines
  81.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  82.    wt: 2:   21 sine and cosine Half Angle Formulas
  83.    wt: 2:   20 sine and cosine Double Angle Formulas
  84.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  85.    wt: 2:   18 sum of sinusoidal waves as a single wave
  86.    wt: 2:   17D cis formulas for sine cosines and tangent
  87.    wt: 2:   17C sine and cosine double triple angle formulas
  88.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  89.    wt: 2:   15 sine cosine Complementary Angle Relations
  90.    wt: 2:   14 cosine even and sine and tangent are odd
  91.    wt: 2:   11 tangent function undefined when terminal side vertical
  92.    wt: 2:   10 Graphs of sines and cosines many periods
  93.    wt: 2:   9 Graphs of sine and cosine over one period
  94.    wt: 2:   7 period of sine and cosine
  95.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  96.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  97.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  98.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  99.    wt: 2:   12 cis formulas for sine cosines and tangent
  100.    wt: 2:   11 sine and cosine double triple angle formulas
  101.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  102.    wt: 2:   3 Trigonometric Ratios sine and cosine
  103.    wt: 2:   4 Similarity Definition with Coordinate
  104.    wt: 2:   2 point slope equation for a line
  105.    wt: 2:   8 Distance Between Points on a Line
  106.    wt: 2:   10 Dropping a perpendicular to line
  107.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  108.    wt: 2:   12 Real Numbers Line Signed Coordinates
  109.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  110.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  111.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  112.    wt: 2:   4 Location of Point in Decimal Addition
  113.    wt: 2:   3 Location of Point in Decimal Multiplication
  114.    wt: 2:   2 Counting Digits in Decimal Multiplication
  115.    wt: 2:   3 Multiplicative Counting Skills Principles
  116.    wt: 2:   2 Combing Counts Addition Skills and Principles
  117.    wt: 2:   1 The Counting Origins of Numbers
  118.    wt: 2:   9 Coordinates for Regions in Space
  119.    wt: 2:   7 Real Numbers as Line Cordinates
  120.    wt: 2:   13 Naming Identifying Formulas with Words
  121.    wt: 2:   7 Compound Interest Formula Introduction
  122.    wt: 2:   1 Written work formats for developing and showing skill
  123.    wt: 2:   1 Counting and Counting Methods I
  124.    wt: 2:   4 signed coordinates for regions in space
  125.    wt: 2:   7 Converting or Changing Units
  126.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  127.    wt: 2:   12 Adding Integers More Examples
  128.    wt: 2:   11 Adding Integers Formulas and Examples
  129.    wt: 2:   9 Multiplying Integers
  130.    wt: 2:   1 Integers as Coordinates
  131.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  132.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  133.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  134.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  135.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  136.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  137.    wt: 2:   6. Counting and adding units and mixed units
  138.    wt: 2:   1. Explaining Addition Table
  139.    wt: 2:   012 Division of Time Intervals by Time Intervals
  140.    wt: 2:   8 Addition of Time Intervals via subtotaling
  141.    wt: 2:   4 Mixing and Changing Units of Time
  142.    wt: 2:   4 Definite Integrals Evaluation Exercises
  143.    wt: 2:   29 Chain Rule Optional Reading
  144.    wt: 2:   25 Chain Rule Animated Examples Continued
  145.    wt: 2:   23 Chain Rule in general
  146.    wt: 2:   19 Chain Rule for linear functions
  147.    wt: 2:   18 Chain Rule Introduction
  148.    wt: 2:   17 Derivatives of quotients of sine and cosine
  149.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  150.    wt: 2:   15 sine and cosine derivatives 3rd step
  151.    wt: 2:   14 sine and cosine derivatives 2nd step
  152.    wt: 2:   13 sine and cosine derivatives 1st step
  153.    wt: 2:   11 Limits at infinity Three Examples
  154.    wt: 2:   10 Three one sided limits with infinite values
  155.    wt: 2:   6 Continuity at a point
  156.    wt: 2:   3 Decimal insights for limits continuity convergence
  157.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  158.    wt: 2:   F.4 Finite Covering Theorem
  159.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  160.    wt: 2:   Chapter 16. Painless Theorem Proving
  161.    wt: 2:   Chapter 15. Solving Linear Equations
  162.    wt: 2:   Chapter 10 Describing and Changing Calculations
  163.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  164.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  165.    wt: 2:   N Improving Marks on Tests and Finals
  166.    wt: 2:   G. Written work formats for developing and showing skill
  167.    wt: 2:   C. Domino effect of being careful
  168.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  169.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  170.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  171.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  172.    wt: 2:   Systematic Algebra Skill Development Missing Links
  173.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  174.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  175.    wt: 1:   K LAMP Musings Science Education
  176.    wt: 1:   I LAMP Introduction Study Habits
  177.    wt: 1:   F LAMP Introduction Prerequisites
  178.    wt: 1:   E LAMP Introduction Modern Mathematics
  179.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  180.    wt: 1:   A Introduction Objectives
  181.    wt: 1:   Skills Chapter 0 Introduction
  182.    wt: 1:   9 combinatorics probability sets
  183.    wt: 1:   7 logic review and decimals an odd combination
  184.    wt: 1:   site origins
  185.    wt: 1:   learning takes time
  186.    wt: 1:   mathematics in context
  187.    wt: 1:   Education Reform Inconsistencies
  188.    wt: 1:   Maps Plans Drawings
  189.    wt: 1:   teaching tips
  190.    wt: 1:   Lessening Algebra Difficulties
  191.    wt: 1:   Operational Viewpoint to Value
  192.    wt: 1:   formal or informal peer review
  193.    wt: 1:   Education in mathematics science and technology
  194.    wt: 1:   How to be a better instructor
  195.    wt: 1:   words for mathematics instructor
  196.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  197.    wt: 1:   chapitre 06 00 Chaines de la raison
  198.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  199.    wt: 1:   chapitre 01 00 Introduction
  200.    wt: 1:   deux definitions pour variable
  201.    wt: 1:   H Series Circuit02
  202.    wt: 1:   G Series Circuit01
  203.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  204.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  205.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  206.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  207.    wt: 1:   15 Counting For Parents
  208.    wt: 1:   10 Ends values for work study instruction
  209.    wt: 1:   9 Streaming by Student Cooperation
  210.    wt: 1:   4 Learning Takes Time and Effort
  211.    wt: 1:   3 Preparing for Science Studies
  212.    wt: 1:   1 Speaking Skills
  213.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  214.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  215.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  216.    wt: 1:   23 Inverse Functions
  217.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  218.    wt: 1:   19 Horizontal line rule and method
  219.    wt: 1:   18 Vertical Line Rule and Method
  220.    wt: 1:   17 Function maxima minima and their location
  221.    wt: 1:   14 Surjections Injections Bijections
  222.    wt: 1:   12 Function Domain Recognition Exercises
  223.    wt: 1:   11 Function Domain Range Source and Targets
  224.    wt: 1:   10 Interval Notation
  225.    wt: 1:   9 Set theory term relation possible origins
  226.    wt: 1:   4 Function notation in and beyond mathematics
  227.    wt: 1:   3 Formula or function graphing exercise
  228.    wt: 1:   1 Geometric Introduction of Function Notation
  229.    wt: 1:   5 quadratics completing the square
  230.    wt: 1:   1 quadratics graphing exercises
  231.    wt: 1:   Quadratics in 10 steps
  232.    wt: 1:   11 Growth and Decay in Biology
  233.    wt: 1:   8 Notes for instructors or tutors
  234.    wt: 1:   7 Links Lessons Elsewhere
  235.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  236.    wt: 1:   4 Polynomials Long division linear divisor
  237.    wt: 1:   Rewriting algebraic substitution as function substitutions
  238.    wt: 1:   11 arctan left inverse of tangent Graph
  239.    wt: 1:   9 motivation for name arcsin
  240.    wt: 1:   2 cosine function more properties
  241.    wt: 1:   1 cosine function properties
  242.    wt: 1:   7 Radian Measures in special Triangles
  243.    wt: 1:   1 Degrees and Radians Introduction
  244.    wt: 1:   13 Velocity Vectors in Physics
  245.    wt: 1:   9 Head to Tail Coordinate View
  246.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  247.    wt: 1:   6 Vectors with Coordinates
  248.    wt: 1:   2 Signed Coordinates
  249.    wt: 1:   1 Unsigned Coordinates
  250.    wt: 1:   3 graphing y=f(x c) plus K
  251.    wt: 1:   1 graphing y=f(x a)
  252.    wt: 1:   Parallel Lines and Parallel Transversals
  253.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  254.    wt: 1:   14 Straight Lines Equations General Case
  255.    wt: 1:   8 Straight Lines Equation for vertical
  256.    wt: 1:   7 Tangent Function is odd on this domain
  257.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  258.    wt: 1:   1 Straight Lines Slope Concept
  259.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  260.    wt: 1:   17F Law of cosines
  261.    wt: 1:   1 Unit Points Reflections Rotations
  262.    wt: 1:   16 References and Originality Question
  263.    wt: 1:   14 Law of cosines
  264.    wt: 1:   1 Rectangular Polar Coordinates Review
  265.    wt: 1:   8 Triangles Cascade Problem Solving
  266.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  267.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  268.    wt: 1:   11 Triangle Similarity Missing Side Problem
  269.    wt: 1:   6 Geometric Diagrams in Class
  270.    wt: 1:   3 Similarity by Design with coordinates
  271.    wt: 1:   1 Early Concept of Like or Similar Shapes
  272.    wt: 1:   12 Links Lessons elsewhere
  273.    wt: 1:   10 Midpoint of [a b] and [b a]
  274.    wt: 1:   8 Mid Point Formula
  275.    wt: 1:   4 Equations for lines three forms
  276.    wt: 1:   3 Slope product for perpendicular lines
  277.    wt: 1:   1 Numerical view of lines and their equations
  278.    wt: 1:   12 Spatial Coordinates
  279.    wt: 1:   11 Triangle Inequality
  280.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  281.    wt: 1:   4 Polar Coordinates to and from
  282.    wt: 1:   3 Rectangular Coordinates Review
  283.    wt: 1:   2 Cartesian Coordinates with signs
  284.    wt: 1:   1 Cartesian Coordinates sans signs
  285.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  286.    wt: 1:   PS E Multiplication with Polar Coordinates
  287.    wt: 1:   PS D Addition with Cartesian Coordinates
  288.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  289.    wt: 1:   14 Parallel Lines Postulate
  290.    wt: 1:   1 Initial Concepts and Terms
  291.    wt: 1:   6 Figuring with Maps Not to Scale
  292.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  293.    wt: 1:   2 Measuring Area Directly
  294.    wt: 1:   musings do not puiblish real numbers
  295.    wt: 1:   A Modular and Remainder Arithmetic
  296.    wt: 1:   21 Addition of Multiples of a Single Vector
  297.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  298.    wt: 1:   15 Head to Tails in place Addition Associative
  299.    wt: 1:   13 Arrows and Vectors in a Plane
  300.    wt: 1:   9 Division with Digits after Decimal Point
  301.    wt: 1:   1 Fractions with Finite Decimal Expansions
  302.    wt: 1:   8 Column Multiplication Methods in General
  303.    wt: 1:   4 Commutative Law Groups Counting Form
  304.    wt: 1:   3 Inequalities Algebraically
  305.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  306.    wt: 1:   5 Proportionality in Equivalent Fractions
  307.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  308.    wt: 1:   6 Compound Interest Forward and Backwards
  309.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  310.    wt: 1:   3 Linear Equation Literal Solution More
  311.    wt: 1:   2 Linear Equation Literal Solution
  312.    wt: 1:   1 Changing Calculations
  313.    wt: 1:   5 Equality in Algebra
  314.    wt: 1:   5 Greater More Less Than Signs in General
  315.    wt: 1:   3 More and Less Than with Unlike Signs
  316.    wt: 1:   12 Real Number Additive Inverses or Negatives
  317.    wt: 1:   8 Coordinates for Maps and Planes
  318.    wt: 1:   2 Integers
  319.    wt: 1:   5 Independent versus Dependent Variables
  320.    wt: 1:   4 Changing Letters
  321.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  322.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  323.    wt: 1:   4 Solving a triangular system exercise
  324.    wt: 1:   3 Solving triangular system example
  325.    wt: 1:   5 Algebraic Solutions Introduction
  326.    wt: 1:   Using Letters for Physical Quantities
  327.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  328.    wt: 1:   8 Compound Interest Formula Evaluation
  329.    wt: 1:   9 Sets in Probability and Statistics
  330.    wt: 1:   3 Counting with Sets etc
  331.    wt: 1:   1 Finite Sets
  332.    wt: 1:   5 Talking about Numbers and Quantities
  333.    wt: 1:   3 Adding Words To Arithmetic
  334.    wt: 1:   4 Greater More Less Than Signs in General
  335.    wt: 1:   2 More and Less Than with Unlike Signs
  336.    wt: 1:   1 Squares and Square Roots Introduction
  337.    wt: 1:   2 Least Common Multiple LCM intro via list method
  338.    wt: 1:   1 Least Common Multiples LCM Introduction
  339.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  340.    wt: 1:   4 Counting with Trees Product Rule Take I
  341.    wt: 1:   3 Counting with Tables and Trees II
  342.    wt: 1:   2 Counting with Tables and Trees I
  343.    wt: 1:   10 dividing signed numbers
  344.    wt: 1:   9 subtracting signed numbers
  345.    wt: 1:   8 multiplying signed numbers
  346.    wt: 1:   7 negative and additive inverse
  347.    wt: 1:   6 adding signed numbers
  348.    wt: 1:   3 signed coordinates for maps and planes
  349.    wt: 1:   2 signed and unsigned numbers as coordinates
  350.    wt: 1:   3 Multiplying Units and Numbers
  351.    wt: 1:   21 Working With Signs
  352.    wt: 1:   20 Dividing Fractions the Why
  353.    wt: 1:   19 Dividing Fractions How TO
  354.    wt: 1:   D Remainders Modulo 11 Pair Rule
  355.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  356.    wt: 1:   B Integer Long Division Multiple Choices
  357.    wt: 1:   13 Subtraction with Additive Inverse
  358.    wt: 1:   10 Integer Multiplication Formulas
  359.    wt: 1:   8 Multiplication by Signed Numbers Integers
  360.    wt: 1:   5 Zero Movement and Additive Inverses
  361.    wt: 1:   4 Adding Movements wiht opposite directions
  362.    wt: 1:   3 Adding Movements with same direction
  363.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  364.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  365.    wt: 1:   23 Remainder Arithmetic Modulo 2
  366.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  367.    wt: 1:   21 Remainder Arithmetic Modulo 3
  368.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  369.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  370.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  371.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  372.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  373.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  374.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  375.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  376.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  377.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  378.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  379.    wt: 1:   5 Remainder Arithmetic Modulo 5
  380.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  381.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  382.    wt: 1:   1 Remainder Arithmetic Modulo 10
  383.    wt: 1:   17 Identify and Count Factors using Primes
  384.    wt: 1:   16 video Factors of 980 using prime
  385.    wt: 1:   15 video Factors of 20 using Prime Factorization
  386.    wt: 1:   13 video Factors of 24 using prime
  387.    wt: 1:   12 LCD GCD and LCM using Primes
  388.    wt: 1:   4 video Prime Factorization Introduction
  389.    wt: 1:   11 Another Single Digit Divisor Example
  390.    wt: 1:   8 Correcting the Mistake
  391.    wt: 1:   7 Long Divison Mistake Catching
  392.    wt: 1:   5 Long Division Include Zeroes or not
  393.    wt: 1:   3 Division Single Digit Divisor Example
  394.    wt: 1:   2 Division with Single Digit Divisors
  395.    wt: 1:   C Counting Areas with Powers of Ten
  396.    wt: 1:   Video Power Notation in Decimal Expansion
  397.    wt: 1:   9 22 Minute Subtraction Review Video
  398.    wt: 1:   2 Decimal Counting Practices
  399.    wt: 1:   11 Place Value SI Standard International way
  400.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  401.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  402.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  403.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  404.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  405.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  406.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  407.    wt: 1:   016 Numbering Occidental Calendar Days
  408.    wt: 1:   015 School and work day counting tables
  409.    wt: 1:   014 Counting Days with Calendars
  410.    wt: 1:   011 Division of Time Intervals By Numbers
  411.    wt: 1:   010 Repeated Addition of Time Intervals
  412.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  413.    wt: 1:   7 Addition of Time Intervals
  414.    wt: 1:   2 Time and Date Matters in School
  415.    wt: 1:   1 Intro of Kids To Time Date Skills
  416.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  417.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  418.    wt: 1:   A Related Material in Volume 3
  419.    wt: 1:   3 Two Chain Rule Method Exercises
  420.    wt: 1:   A Related lessons in Volume 3
  421.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  422.    wt: 1:   A Chain Rule Real Player video examples
  423.    wt: 1:   33 Chain Rule Real Player video examples
  424.    wt: 1:   31 Derivatives of inverse functions
  425.    wt: 1:   30Chain Rule A Proof
  426.    wt: 1:   28 Chain Rule Preparation for a Proof
  427.    wt: 1:   24 Chain Rule Animated Examples
  428.    wt: 1:   22 Chain Rule for polynomials
  429.    wt: 1:   21 Chain Rule for powers
  430.    wt: 1:   20 Chain Rule for Pulley Systems
  431.    wt: 1:   10 Power rule for negative integers
  432.    wt: 1:   3 Motivation for Limit Definition Take 2
  433.    wt: 1:   2 Motivation for Limit Definition Take 1
  434.    wt: 1:   9 Limits Continuity and Composition
  435.    wt: 1:   1 Numerical introduction
  436.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  437.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  438.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  439.    wt: 1:   F.5a Equicontinuity Theorems
  440.    wt: 1:   F.3 Intermediate Value Theorem
  441.    wt: 1:   F.1 What Functions are Continuous
  442.    wt: 1:   E1 Error Control Inequalities
  443.    wt: 1:   C Triangle Inequalities
  444.    wt: 1:   PostScript For and Against Decimal Perspectives
  445.    wt: 1:   A1. Introduction
  446.    wt: 1:   Chapter 23 Links To Trigonometry
  447.    wt: 1:   Chapter 18. Slopes Areas Integration
  448.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  449.    wt: 1:   Chapter 11. Graphing Slope versus Position
  450.    wt: 1:   Chapter 9 About First Courses in Calculus
  451.    wt: 1:   Chapter 8. Slope Interpretation
  452.    wt: 1:   Chapter 1.Introduction
  453.    wt: 1:   Appendix D. What to do in School and Why
  454.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  455.    wt: 1:   Chapter 31 Direct and Indirect Reason
  456.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  457.    wt: 1:   Chapter 25. Mathematical Induction Examples
  458.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  459.    wt: 1:   Chapter 21. Third Reading Guide
  460.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  461.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  462.    wt: 1:   Chapter 13. Second Reading Guide
  463.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  464.    wt: 1:   Chapter 4 Longer Chains of Reason
  465.    wt: 1:   Chapter 3 Chains of Reason
  466.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  467.    wt: 1:   Annotated Links to Material Elsehwere
  468.    wt: 1:   Chapter 11 Elementary Instruction
  469.    wt: 1:   Chapter 8 Modern Instruction
  470.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  471.    wt: 1:   Chapter 2 For and Against Mathematics
  472.    wt: 1:   Chapter 1 Introduction
  473.    wt: 1:   Postscript B More on Story Telling and Reason
  474.    wt: 1:   Postscript A Story Telling
  475.    wt: 1:   Chapter 24 Direct and Indirect Reason
  476.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  477.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  478.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  479.    wt: 1:   Chapter 7 Longer Chains of Reason
  480.    wt: 1:   Chapter 6 Chains of Reason
  481.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  482.    wt: 1:   Chapter 1 Introduction
  483.    wt: 1:   S Adding words to algebra
  484.    wt: 1:   O On Learning Mathematics and Science
  485.    wt: 1:   J. More on written work and showing skill
  486.    wt: 1:   H Jigsaw puzzles and problem solving
  487.    wt: 1:   B. Domino effect of errors
  488.    wt: 1:   7 Games and Activities for Instruction
  489.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  490.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  491.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  492.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years

Extended Search

659 matches:

  1.    wt: 7:   1 Like resistors in series
  2.    wt: 7:   F Unlike Resistors in Series
  3.    wt: 6:   3 Like resistors in parallel
  4.    wt: 6:   2 Unlike resistors in parallel01
  5.    wt: 6:   Straight Lines Instersection Solving Equations
  6.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  7.    wt: 5:   7 arcsin left inverse of sine Definition
  8.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  9.    wt: 5:   Straight Lines ASA Intersection Study More
  10.    wt: 5:   Straight Lines ASA Intersection Study
  11.    wt: 5:   Straight Lines Intersection of
  12.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  13.    wt: 5:   6 Intersection of lines by solving linear systems
  14.    wt: 5:   3 Multiplicative Counting Skills Principles
  15.    wt: 5:   2 Combing Counts Addition Skills and Principles
  16.    wt: 5:   1 The Counting Origins of Numbers
  17.    wt: 5:   7 Adding decimal fractions using decimal point
  18.    wt: 4:   H Series Circuit02
  19.    wt: 4:   G Series Circuit01
  20.    wt: 4:   16 Increasing or decreasing on intervals
  21.    wt: 4:   8 arcsin left inverse of sine Graph
  22.    wt: 4:   3 Left Inverse of cosine arccos definition
  23.    wt: 4:   4 graphing y=Asin(x c)
  24.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  25.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  26.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  27.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  28.    wt: 4:   8 Column Multiplication Methods in General
  29.    wt: 4:   4 Commutative Law Groups Counting Form
  30.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  31.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  32.    wt: 4:   4 Solving a triangular system exercise
  33.    wt: 4:   3 Solving triangular system example
  34.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  35.    wt: 4:   14 Adding and Subtracting with Like Denominators
  36.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  37.    wt: 4:   6. Counting and adding units and mixed units
  38.    wt: 4:   1. Explaining Addition Table
  39.    wt: 4:   2 Indefinite Integrals Exercises
  40.    wt: 4:   1 Chain Rule in Reverse Integration Method
  41.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  42.    wt: 4:   26 Chain Rule Recognising outer inner functions
  43.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  44.    wt: 3:   J LAMP Introduction Extrinsic Origins
  45.    wt: 3:   Different Kinds of Reasoning in maths
  46.    wt: 3:   fairness and inductive principles for instruction
  47.    wt: 3:   4 Energy Power Heat09
  48.    wt: 3:   3 Energy Power Heat08
  49.    wt: 3:   2 Energy Power Heat07
  50.    wt: 3:   1 Energy Power Heat06
  51.    wt: 3:   E Energy Power05
  52.    wt: 3:   D Energy Power04
  53.    wt: 3:   C Energy Power03
  54.    wt: 3:   B Energy Power02
  55.    wt: 3:   A Energy Power01
  56.    wt: 3:   2 Conductance Resistance Duality02
  57.    wt: 3:   1 Conductance Resistance Duality01
  58.    wt: 3:   F Wire Resistance Calculation04
  59.    wt: 3:   E Wire Resistance Calculation03
  60.    wt: 3:   D Wire Resistance Calculation02
  61.    wt: 3:   C Wire Resistance Calculation01
  62.    wt: 3:   B Wire Resistance Qualitative02
  63.    wt: 3:   A Wire Resistance Qualitative01
  64.    wt: 3:   E Kirchoffs Second Law
  65.    wt: 3:   D Kirchoff First Law
  66.    wt: 3:   C Electromotive force conventional current02
  67.    wt: 3:   B Electromotive force conventional current01
  68.    wt: 3:   A Circuit Elements
  69.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  70.    wt: 3:   20 Interchanging coordinates a reflection
  71.    wt: 3:   16 cotangent function Definition Graph and Inverse
  72.    wt: 3:   15 cosecant function Definition Graph and Inverse
  73.    wt: 3:   14 secant function Definition Graph and Inverse
  74.    wt: 3:   13 cosecant function Definition Graph and Inverse
  75.    wt: 3:   10 arctan left inverse of tangent Definition
  76.    wt: 3:   5 Swapping Coordinates is a reflection
  77.    wt: 3:   3 graphing y=f(x c) plus K
  78.    wt: 3:   1 graphing y=f(x a)
  79.    wt: 3:   Parallel Lines and Interior Angles
  80.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  81.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  82.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  83.    wt: 3:   C Straight Lines Slope from Coordinates
  84.    wt: 3:   B Straight Line Slope Scaling Properties More
  85.    wt: 3:   A Straight Line Slope Scaling Properties
  86.    wt: 3:   12 Straight Lines Graphing mx plus b
  87.    wt: 3:   11 Straight Lines Graphing y=mx
  88.    wt: 3:   10 Straight Lines through Origin Equations More
  89.    wt: 3:   9 Straight Lines through Origin Equations
  90.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  91.    wt: 3:   28 Expressing products of sines cosines as sums
  92.    wt: 3:   2 point slope equation for a line
  93.    wt: 3:   8 Distance Between Points on a Line
  94.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  95.    wt: 3:   12 Real Numbers Line Signed Coordinates
  96.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  97.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  98.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  99.    wt: 3:   4 Location of Point in Decimal Addition
  100.    wt: 3:   3 Location of Point in Decimal Multiplication
  101.    wt: 3:   2 Counting Digits in Decimal Multiplication
  102.    wt: 3:   E Long Division Methods more
  103.    wt: 3:   D Long Division Methods
  104.    wt: 3:   C Three Decimal Subtraction Methods
  105.    wt: 3:   B Decimal Comparison and Subtraction
  106.    wt: 3:   A Decimal Addition Columm Methods
  107.    wt: 3:   7 Decimals Multiplication Methods Examples
  108.    wt: 3:   6 Column Methods for Decimal Multiplication
  109.    wt: 3:   5 Distributive Law for Whole Numbers
  110.    wt: 3:   4 GE III Animated Examples
  111.    wt: 3:   3 GE III Equation Addition and Multiplication
  112.    wt: 3:   2 GE II Comparison
  113.    wt: 3:   1 GE Substitution four examples
  114.    wt: 3:   2 Essentially one exercises three with solution
  115.    wt: 3:   1 Essentially One Unknown
  116.    wt: 3:   5 Algebraic Solutions Introduction
  117.    wt: 3:   Using Letters for Physical Quantities
  118.    wt: 3:   1 Counting and Counting Methods I
  119.    wt: 3:   12 Adding Integers More Examples
  120.    wt: 3:   11 Adding Integers Formulas and Examples
  121.    wt: 3:   9 Multiplying Integers
  122.    wt: 3:   1 Integers as Coordinates
  123.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  124.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  125.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  126.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  127.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  128.    wt: 3:   9 22 Minute Subtraction Review Video
  129.    wt: 3:   2 Decimal Counting Practices
  130.    wt: 3:   4 Definite Integrals Evaluation Exercises
  131.    wt: 3:   29 Chain Rule Optional Reading
  132.    wt: 3:   25 Chain Rule Animated Examples Continued
  133.    wt: 3:   23 Chain Rule in general
  134.    wt: 3:   19 Chain Rule for linear functions
  135.    wt: 3:   18 Chain Rule Introduction
  136.    wt: 3:   17 Derivatives of quotients of sine and cosine
  137.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  138.    wt: 3:   15 sine and cosine derivatives 3rd step
  139.    wt: 3:   14 sine and cosine derivatives 2nd step
  140.    wt: 3:   13 sine and cosine derivatives 1st step
  141.    wt: 3:   11 Limits at infinity Three Examples
  142.    wt: 3:   10 Three one sided limits with infinite values
  143.    wt: 3:   6 Continuity at a point
  144.    wt: 3:   3 Decimal insights for limits continuity convergence
  145.    wt: 3:   H more Routine to non routine problem solving
  146.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  147.    wt: 3:   Helping the Blind in Logic and Mathematics
  148.    wt: 2:   H LAMP Introduction Instructional Concepts
  149.    wt: 2:   G LAMP Introduction Problem Solving Skills
  150.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  151.    wt: 2:   Ramblings Extrinsic numbers theory
  152.    wt: 2:   Ramblings Introduction Algebra Essay
  153.    wt: 2:   links Education Resources online
  154.    wt: 2:   grouping students according to ability
  155.    wt: 2:   teaching tutoring algebraic reason
  156.    wt: 2:   mathematics instruction in general
  157.    wt: 2:   three kinds of reason in mathematics
  158.    wt: 2:   cultivating intelligence
  159.    wt: 2:   Prequel In For A Penny In For A Pound
  160.    wt: 2:   chapitre 07 01 principle D induction mathematique
  161.    wt: 2:   Home Tutoring and Home Schooling
  162.    wt: 2:   2 Reading and Writing Skills
  163.    wt: 2:   26 Function definitions done and coming
  164.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  165.    wt: 2:   7 Functions with finite domains
  166.    wt: 2:   Introduction Reading Guide
  167.    wt: 2:   3 quadratics factoring by inspection
  168.    wt: 2:   2 quadratics graphing in general
  169.    wt: 2:   11 arctan left inverse of tangent Graph
  170.    wt: 2:   9 motivation for name arcsin
  171.    wt: 2:   2 cosine function more properties
  172.    wt: 2:   1 cosine function properties
  173.    wt: 2:   Parallel Lines and Parallel Transversals
  174.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  175.    wt: 2:   14 Straight Lines Equations General Case
  176.    wt: 2:   8 Straight Lines Equation for vertical
  177.    wt: 2:   7 Tangent Function is odd on this domain
  178.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  179.    wt: 2:   1 Straight Lines Slope Concept
  180.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  181.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  182.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  183.    wt: 2:   27 Logarithmic use of products of sines and cosines
  184.    wt: 2:   26 Formulas for products of sines and cosines
  185.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  186.    wt: 2:   21 sine and cosine Half Angle Formulas
  187.    wt: 2:   20 sine and cosine Double Angle Formulas
  188.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  189.    wt: 2:   18 sum of sinusoidal waves as a single wave
  190.    wt: 2:   17D cis formulas for sine cosines and tangent
  191.    wt: 2:   17C sine and cosine double triple angle formulas
  192.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  193.    wt: 2:   15 sine cosine Complementary Angle Relations
  194.    wt: 2:   14 cosine even and sine and tangent are odd
  195.    wt: 2:   11 tangent function undefined when terminal side vertical
  196.    wt: 2:   10 Graphs of sines and cosines many periods
  197.    wt: 2:   9 Graphs of sine and cosine over one period
  198.    wt: 2:   7 period of sine and cosine
  199.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  200.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  201.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  202.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  203.    wt: 2:   12 cis formulas for sine cosines and tangent
  204.    wt: 2:   11 sine and cosine double triple angle formulas
  205.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  206.    wt: 2:   3 Trigonometric Ratios sine and cosine
  207.    wt: 2:   4 Similarity Definition with Coordinate
  208.    wt: 2:   12 Links Lessons elsewhere
  209.    wt: 2:   10 Midpoint of [a b] and [b a]
  210.    wt: 2:   8 Mid Point Formula
  211.    wt: 2:   4 Equations for lines three forms
  212.    wt: 2:   3 Slope product for perpendicular lines
  213.    wt: 2:   1 Numerical view of lines and their equations
  214.    wt: 2:   12 Spatial Coordinates
  215.    wt: 2:   11 Triangle Inequality
  216.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  217.    wt: 2:   4 Polar Coordinates to and from
  218.    wt: 2:   3 Rectangular Coordinates Review
  219.    wt: 2:   2 Cartesian Coordinates with signs
  220.    wt: 2:   1 Cartesian Coordinates sans signs
  221.    wt: 2:   10 Dropping a perpendicular to line
  222.    wt: 2:   musings do not puiblish real numbers
  223.    wt: 2:   A Modular and Remainder Arithmetic
  224.    wt: 2:   21 Addition of Multiples of a Single Vector
  225.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  226.    wt: 2:   15 Head to Tails in place Addition Associative
  227.    wt: 2:   13 Arrows and Vectors in a Plane
  228.    wt: 2:   9 Division with Digits after Decimal Point
  229.    wt: 2:   1 Fractions with Finite Decimal Expansions
  230.    wt: 2:   3 Inequalities Algebraically
  231.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  232.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  233.    wt: 2:   6 Compound Interest Forward and Backwards
  234.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  235.    wt: 2:   3 Linear Equation Literal Solution More
  236.    wt: 2:   2 Linear Equation Literal Solution
  237.    wt: 2:   1 Changing Calculations
  238.    wt: 2:   5 Greater More Less Than Signs in General
  239.    wt: 2:   3 More and Less Than with Unlike Signs
  240.    wt: 2:   9 Coordinates for Regions in Space
  241.    wt: 2:   7 Real Numbers as Line Cordinates
  242.    wt: 2:   More Exercises
  243.    wt: 2:   Simple Exercises
  244.    wt: 2:   6 Algebraic Solution Example
  245.    wt: 2:   4 Four Examples Fractional Coefficients
  246.    wt: 2:   3 Four Examples
  247.    wt: 2:   2 Three Examples
  248.    wt: 2:   1 Proper Equal Sign Usage
  249.    wt: 2:   Skill Development Notes
  250.    wt: 2:   10 One Example
  251.    wt: 2:   9 Three Examples
  252.    wt: 2:   8 One Example
  253.    wt: 2:   7 Two Examples
  254.    wt: 2:   6 Three Examples
  255.    wt: 2:   5 Three Examples
  256.    wt: 2:   4 Two Examples
  257.    wt: 2:   3 Two Examples
  258.    wt: 2:   2 Three Examples
  259.    wt: 2:   Formula Usage Show Work Format
  260.    wt: 2:   13 Naming Identifying Formulas with Words
  261.    wt: 2:   7 Compound Interest Formula Introduction
  262.    wt: 2:   1 Written work formats for developing and showing skill
  263.    wt: 2:   9 Sets in Probability and Statistics
  264.    wt: 2:   3 Counting with Sets etc
  265.    wt: 2:   1 Finite Sets
  266.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  267.    wt: 2:   4 Counting with Trees Product Rule Take I
  268.    wt: 2:   3 Counting with Tables and Trees II
  269.    wt: 2:   2 Counting with Tables and Trees I
  270.    wt: 2:   4 signed coordinates for regions in space
  271.    wt: 2:   7 Converting or Changing Units
  272.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  273.    wt: 2:   D Remainders Modulo 11 Pair Rule
  274.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  275.    wt: 2:   B Integer Long Division Multiple Choices
  276.    wt: 2:   13 Subtraction with Additive Inverse
  277.    wt: 2:   10 Integer Multiplication Formulas
  278.    wt: 2:   8 Multiplication by Signed Numbers Integers
  279.    wt: 2:   5 Zero Movement and Additive Inverses
  280.    wt: 2:   4 Adding Movements wiht opposite directions
  281.    wt: 2:   3 Adding Movements with same direction
  282.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  283.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  284.    wt: 2:   23 Remainder Arithmetic Modulo 2
  285.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  286.    wt: 2:   21 Remainder Arithmetic Modulo 3
  287.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  288.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  289.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  290.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  291.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  292.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  293.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  294.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  295.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  296.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  297.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  298.    wt: 2:   5 Remainder Arithmetic Modulo 5
  299.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  300.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  301.    wt: 2:   1 Remainder Arithmetic Modulo 10
  302.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  303.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  304.    wt: 2:   Subtraction with J Conversions Example
  305.    wt: 2:   Subtraction Another Video Lesson
  306.    wt: 2:   8 Subtraction with Units of Measure
  307.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  308.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  309.    wt: 2:   5 A Tip for Efficent Subtraction
  310.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  311.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  312.    wt: 2:   2 Subtraction Easy Case Examples
  313.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  314.    wt: 2:   8 What skills and work habits to require
  315.    wt: 2:   5. How to add decimals C. Examples
  316.    wt: 2:   4. How to add with decimals B with conversions
  317.    wt: 2:   3. How to add with decimals A sans conversions
  318.    wt: 2:   012 Division of Time Intervals by Time Intervals
  319.    wt: 2:   8 Addition of Time Intervals via subtotaling
  320.    wt: 2:   4 Mixing and Changing Units of Time
  321.    wt: 2:   A Related Material in Volume 3
  322.    wt: 2:   3 Two Chain Rule Method Exercises
  323.    wt: 2:   A Related lessons in Volume 3
  324.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  325.    wt: 2:   A Chain Rule Real Player video examples
  326.    wt: 2:   33 Chain Rule Real Player video examples
  327.    wt: 2:   31 Derivatives of inverse functions
  328.    wt: 2:   30Chain Rule A Proof
  329.    wt: 2:   28 Chain Rule Preparation for a Proof
  330.    wt: 2:   24 Chain Rule Animated Examples
  331.    wt: 2:   22 Chain Rule for polynomials
  332.    wt: 2:   21 Chain Rule for powers
  333.    wt: 2:   20 Chain Rule for Pulley Systems
  334.    wt: 2:   10 Power rule for negative integers
  335.    wt: 2:   3 Motivation for Limit Definition Take 2
  336.    wt: 2:   2 Motivation for Limit Definition Take 1
  337.    wt: 2:   9 Limits Continuity and Composition
  338.    wt: 2:   1 Numerical introduction
  339.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  340.    wt: 2:   F.4 Finite Covering Theorem
  341.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  342.    wt: 2:   Chapter 23 Links To Trigonometry
  343.    wt: 2:   Chapter 18. Slopes Areas Integration
  344.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  345.    wt: 2:   Chapter 11. Graphing Slope versus Position
  346.    wt: 2:   Chapter 9 About First Courses in Calculus
  347.    wt: 2:   Chapter 8. Slope Interpretation
  348.    wt: 2:   Chapter 1.Introduction
  349.    wt: 2:   Chapter 16. Painless Theorem Proving
  350.    wt: 2:   Chapter 15. Solving Linear Equations
  351.    wt: 2:   Chapter 10 Describing and Changing Calculations
  352.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  353.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  354.    wt: 2:   N Improving Marks on Tests and Finals
  355.    wt: 2:   G. Written work formats for developing and showing skill
  356.    wt: 2:   C. Domino effect of being careful
  357.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  358.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  359.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  360.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  361.    wt: 2:   Systematic Algebra Skill Development Missing Links
  362.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  363.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  364.    wt: 1:   K LAMP Musings Science Education
  365.    wt: 1:   I LAMP Introduction Study Habits
  366.    wt: 1:   F LAMP Introduction Prerequisites
  367.    wt: 1:   E LAMP Introduction Modern Mathematics
  368.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  369.    wt: 1:   A Introduction Objectives
  370.    wt: 1:   Skills Chapter 0 Introduction
  371.    wt: 1:   9 combinatorics probability sets
  372.    wt: 1:   7 logic review and decimals an odd combination
  373.    wt: 1:   site origins
  374.    wt: 1:   learning takes time
  375.    wt: 1:   mathematics in context
  376.    wt: 1:   Education Reform Inconsistencies
  377.    wt: 1:   Maps Plans Drawings
  378.    wt: 1:   teaching tips
  379.    wt: 1:   Lessening Algebra Difficulties
  380.    wt: 1:   Operational Viewpoint to Value
  381.    wt: 1:   formal or informal peer review
  382.    wt: 1:   Education in mathematics science and technology
  383.    wt: 1:   How to be a better instructor
  384.    wt: 1:   words for mathematics instructor
  385.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  386.    wt: 1:   chapitre 06 00 Chaines de la raison
  387.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  388.    wt: 1:   chapitre 01 00 Introduction
  389.    wt: 1:   deux definitions pour variable
  390.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  391.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  392.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  393.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  394.    wt: 1:   15 Counting For Parents
  395.    wt: 1:   10 Ends values for work study instruction
  396.    wt: 1:   9 Streaming by Student Cooperation
  397.    wt: 1:   4 Learning Takes Time and Effort
  398.    wt: 1:   3 Preparing for Science Studies
  399.    wt: 1:   1 Speaking Skills
  400.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  401.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  402.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  403.    wt: 1:   23 Inverse Functions
  404.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  405.    wt: 1:   19 Horizontal line rule and method
  406.    wt: 1:   18 Vertical Line Rule and Method
  407.    wt: 1:   17 Function maxima minima and their location
  408.    wt: 1:   14 Surjections Injections Bijections
  409.    wt: 1:   12 Function Domain Recognition Exercises
  410.    wt: 1:   11 Function Domain Range Source and Targets
  411.    wt: 1:   10 Interval Notation
  412.    wt: 1:   9 Set theory term relation possible origins
  413.    wt: 1:   4 Function notation in and beyond mathematics
  414.    wt: 1:   3 Formula or function graphing exercise
  415.    wt: 1:   1 Geometric Introduction of Function Notation
  416.    wt: 1:   5 quadratics completing the square
  417.    wt: 1:   1 quadratics graphing exercises
  418.    wt: 1:   Quadratics in 10 steps
  419.    wt: 1:   11 Growth and Decay in Biology
  420.    wt: 1:   8 Notes for instructors or tutors
  421.    wt: 1:   7 Links Lessons Elsewhere
  422.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  423.    wt: 1:   4 Polynomials Long division linear divisor
  424.    wt: 1:   Rewriting algebraic substitution as function substitutions
  425.    wt: 1:   12 motivation for term arctan
  426.    wt: 1:   6 Graph of arccos function
  427.    wt: 1:   4 possible motivation for term arccos
  428.    wt: 1:   7 Radian Measures in special Triangles
  429.    wt: 1:   1 Degrees and Radians Introduction
  430.    wt: 1:   13 Velocity Vectors in Physics
  431.    wt: 1:   9 Head to Tail Coordinate View
  432.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  433.    wt: 1:   6 Vectors with Coordinates
  434.    wt: 1:   2 Signed Coordinates
  435.    wt: 1:   1 Unsigned Coordinates
  436.    wt: 1:   Triangle Angles Sum To 180 Degrees
  437.    wt: 1:   5 Tangent Function Graph
  438.    wt: 1:   4 Tangent Function Properties
  439.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  440.    wt: 1:   17F Law of cosines
  441.    wt: 1:   1 Unit Points Reflections Rotations
  442.    wt: 1:   16 References and Originality Question
  443.    wt: 1:   14 Law of cosines
  444.    wt: 1:   1 Rectangular Polar Coordinates Review
  445.    wt: 1:   8 Triangles Cascade Problem Solving
  446.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  447.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  448.    wt: 1:   11 Triangle Similarity Missing Side Problem
  449.    wt: 1:   6 Geometric Diagrams in Class
  450.    wt: 1:   3 Similarity by Design with coordinates
  451.    wt: 1:   1 Early Concept of Like or Similar Shapes
  452.    wt: 1:   Four Simple Exercises
  453.    wt: 1:   11 A Partial Summary
  454.    wt: 1:   7 Exercises to test skill and concept mastery
  455.    wt: 1:   5 Algebraic View of Slopes
  456.    wt: 1:   What is and is not here
  457.    wt: 1:   13 Pythagorean spatial distance formulas
  458.    wt: 1:   10 Pythagorean plane distance formula
  459.    wt: 1:   7 Complex Numbers Appetizer
  460.    wt: 1:   6 Polar Multiplication and Rotation
  461.    wt: 1:   5 Cartesian Addition and Translation
  462.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  463.    wt: 1:   PS E Multiplication with Polar Coordinates
  464.    wt: 1:   PS D Addition with Cartesian Coordinates
  465.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  466.    wt: 1:   14 Parallel Lines Postulate
  467.    wt: 1:   1 Initial Concepts and Terms
  468.    wt: 1:   6 Figuring with Maps Not to Scale
  469.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  470.    wt: 1:   2 Measuring Area Directly
  471.    wt: 1:   A Signed Number Arithmetic Review
  472.    wt: 1:   26 More Less Greater Than Comparison
  473.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  474.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  475.    wt: 1:   23 Distributive Law Two Derivations
  476.    wt: 1:   22 Multiplication of Signed Numbers
  477.    wt: 1:   19 Signed Multiples of Vectors
  478.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  479.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  480.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  481.    wt: 1:   11 Signed Number Addition and Addition Properties
  482.    wt: 1:   8 Division and Mulplication of Compound Fractions
  483.    wt: 1:   5 Areas of Rectangles Revisited
  484.    wt: 1:   4 Fraction Operations Axiomatic Development
  485.    wt: 1:   2 Fraction Operations Physical Development
  486.    wt: 1:   5 Proportionality in Equivalent Fractions
  487.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  488.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  489.    wt: 1:   5 Triangle Area Formula Backwards
  490.    wt: 1:   5 Equality in Algebra
  491.    wt: 1:   4 Comparison of Negative Numbers
  492.    wt: 1:   2 More and Less Than for Counts and Measures
  493.    wt: 1:   1 Real Numbers Comparison
  494.    wt: 1:   12 Real Number Additive Inverses or Negatives
  495.    wt: 1:   8 Coordinates for Maps and Planes
  496.    wt: 1:   2 Integers
  497.    wt: 1:   5 Independent versus Dependent Variables
  498.    wt: 1:   4 Changing Letters
  499.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  500.    wt: 1:   8 Compound Interest Formula Evaluation
  501.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  502.    wt: 1:   8 Sets of Numbers
  503.    wt: 1:   7 Cautious or Safe Set Construction
  504.    wt: 1:   6 Power Set Notation
  505.    wt: 1:   5 Product Builder Notation
  506.    wt: 1:   4 Subset Builder Notation
  507.    wt: 1:   2 Venn Diagrams
  508.    wt: 1:   5 Talking about Numbers and Quantities
  509.    wt: 1:   3 Adding Words To Arithmetic
  510.    wt: 1:   4 Greater More Less Than Signs in General
  511.    wt: 1:   2 More and Less Than with Unlike Signs
  512.    wt: 1:   1 Squares and Square Roots Introduction
  513.    wt: 1:   2 Least Common Multiple LCM intro via list method
  514.    wt: 1:   1 Least Common Multiples LCM Introduction
  515.    wt: 1:   10 dividing signed numbers
  516.    wt: 1:   9 subtracting signed numbers
  517.    wt: 1:   8 multiplying signed numbers
  518.    wt: 1:   7 negative and additive inverse
  519.    wt: 1:   6 adding signed numbers
  520.    wt: 1:   3 signed coordinates for maps and planes
  521.    wt: 1:   2 signed and unsigned numbers as coordinates
  522.    wt: 1:   3 Multiplying Units and Numbers
  523.    wt: 1:   21 Working With Signs
  524.    wt: 1:   20 Dividing Fractions the Why
  525.    wt: 1:   19 Dividing Fractions How TO
  526.    wt: 1:   A Associative Law Theorectical Note
  527.    wt: 1:   7 Multiplication by Signs
  528.    wt: 1:   6 Multiplication by Natural Numbers
  529.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  530.    wt: 1:   26 Divisibility by 2 3 5 Example
  531.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  532.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  533.    wt: 1:   17 Identify and Count Factors using Primes
  534.    wt: 1:   16 video Factors of 980 using prime
  535.    wt: 1:   15 video Factors of 20 using Prime Factorization
  536.    wt: 1:   13 video Factors of 24 using prime
  537.    wt: 1:   12 LCD GCD and LCM using Primes
  538.    wt: 1:   4 video Prime Factorization Introduction
  539.    wt: 1:   11 Another Single Digit Divisor Example
  540.    wt: 1:   8 Correcting the Mistake
  541.    wt: 1:   7 Long Divison Mistake Catching
  542.    wt: 1:   5 Long Division Include Zeroes or not
  543.    wt: 1:   3 Division Single Digit Divisor Example
  544.    wt: 1:   2 Division with Single Digit Divisors
  545.    wt: 1:   C Counting Areas with Powers of Ten
  546.    wt: 1:   Video Power Notation in Decimal Expansion
  547.    wt: 1:   11 Place Value SI Standard International way
  548.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  549.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  550.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  551.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  552.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  553.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  554.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  555.    wt: 1:   016 Numbering Occidental Calendar Days
  556.    wt: 1:   015 School and work day counting tables
  557.    wt: 1:   014 Counting Days with Calendars
  558.    wt: 1:   011 Division of Time Intervals By Numbers
  559.    wt: 1:   010 Repeated Addition of Time Intervals
  560.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  561.    wt: 1:   7 Addition of Time Intervals
  562.    wt: 1:   2 Time and Date Matters in School
  563.    wt: 1:   1 Intro of Kids To Time Date Skills
  564.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  565.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  566.    wt: 1:   5 Area Under Curve Exercise
  567.    wt: 1:   4 Second derivative test exercise example
  568.    wt: 1:   3 Second derivative test
  569.    wt: 1:   2 Second derivative test prequel
  570.    wt: 1:   38 Formulas and derivatives for powers and roots
  571.    wt: 1:   36 Cube root derivative animated
  572.    wt: 1:   34 Derivative of exponential function
  573.    wt: 1:   12 Quotient rule examples
  574.    wt: 1:   11 Quotient rule
  575.    wt: 1:   9 Reciprocal rule
  576.    wt: 1:   8 Differentiation of polynomials
  577.    wt: 1:   7 Animated Differentiation Examples
  578.    wt: 1:   6 Power rule from product rule
  579.    wt: 1:   5 Product Rule
  580.    wt: 1:   4 Sum Rule
  581.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  582.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  583.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  584.    wt: 1:   8 Four Animated Examples
  585.    wt: 1:   7 Evaluation by immediate or delayed substitution
  586.    wt: 1:   5 Jumps and absence of unlimited error control
  587.    wt: 1:   4 Numerical properties
  588.    wt: 1:   2 Algebraic codification
  589.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  590.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  591.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  592.    wt: 1:   F.5a Equicontinuity Theorems
  593.    wt: 1:   F.3 Intermediate Value Theorem
  594.    wt: 1:   F.1 What Functions are Continuous
  595.    wt: 1:   E1 Error Control Inequalities
  596.    wt: 1:   C Triangle Inequalities
  597.    wt: 1:   PostScript For and Against Decimal Perspectives
  598.    wt: 1:   A1. Introduction
  599.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  600.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  601.    wt: 1:   Chapter 22 Complex Numbers
  602.    wt: 1:   Chapter 21 Arrow Addition
  603.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  604.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  605.    wt: 1:   Chapter 17. Area Approximation
  606.    wt: 1:   Chapter 16. Velocity Approximation
  607.    wt: 1:   Chapter 15. Slope Approximation
  608.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  609.    wt: 1:   Chapter 13. Acceleration
  610.    wt: 1:   Chapter 12. Units and Slopes
  611.    wt: 1:   Chapter 10 Slopes and Units
  612.    wt: 1:   Chapter 7 Slopes and Velocity
  613.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  614.    wt: 1:   Chapter 5. Slope Sign Tests
  615.    wt: 1:   Chapter 4. More Slope Sign Analysis
  616.    wt: 1:   Chapter 3. Slope Sign Analysis
  617.    wt: 1:   Chapter 2. Slopes and Ski Trails
  618.    wt: 1:   Fall 1983 Calculus Appetizer
  619.    wt: 1:   Foreword
  620.    wt: 1:   Appendix D. What to do in School and Why
  621.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  622.    wt: 1:   Chapter 31 Direct and Indirect Reason
  623.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  624.    wt: 1:   Chapter 25. Mathematical Induction Examples
  625.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  626.    wt: 1:   Chapter 21. Third Reading Guide
  627.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  628.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  629.    wt: 1:   Chapter 13. Second Reading Guide
  630.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  631.    wt: 1:   Chapter 4 Longer Chains of Reason
  632.    wt: 1:   Chapter 3 Chains of Reason
  633.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  634.    wt: 1:   Annotated Links to Material Elsehwere
  635.    wt: 1:   Chapter 11 Elementary Instruction
  636.    wt: 1:   Chapter 8 Modern Instruction
  637.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  638.    wt: 1:   Chapter 2 For and Against Mathematics
  639.    wt: 1:   Chapter 1 Introduction
  640.    wt: 1:   Postscript B More on Story Telling and Reason
  641.    wt: 1:   Postscript A Story Telling
  642.    wt: 1:   Chapter 24 Direct and Indirect Reason
  643.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  644.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  645.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  646.    wt: 1:   Chapter 7 Longer Chains of Reason
  647.    wt: 1:   Chapter 6 Chains of Reason
  648.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  649.    wt: 1:   Chapter 1 Introduction
  650.    wt: 1:   S Adding words to algebra
  651.    wt: 1:   O On Learning Mathematics and Science
  652.    wt: 1:   J. More on written work and showing skill
  653.    wt: 1:   H Jigsaw puzzles and problem solving
  654.    wt: 1:   B. Domino effect of errors
  655.    wt: 1:   7 Games and Activities for Instruction
  656.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  657.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  658.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  659.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years

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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