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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  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:   11 Parallel Straight Lines and Transversals/
  8.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 2:   Step 1 Stick diagram and fractions/
  10.    wt: 2:   3 Solving Linear Equations/
  11.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 2:   A Decimal Counting and Adding Methods/
  13.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  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

494 matches:

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

Extended Search

663 matches:

  1.    wt: 7:   3 Like resistors in parallel
  2.    wt: 7:   2 Unlike resistors in parallel01
  3.    wt: 6:   1 Like resistors in series
  4.    wt: 6:   F Unlike Resistors in Series
  5.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  6.    wt: 6:   Straight Lines Instersection Solving Equations
  7.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  8.    wt: 5:   7 arcsin left inverse of sine Definition
  9.    wt: 5:   Parallel Lines and Parallel Transversals
  10.    wt: 5:   Parallel Lines and Interior Angles
  11.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  12.    wt: 5:   Straight Lines ASA Intersection Study More
  13.    wt: 5:   Straight Lines ASA Intersection Study
  14.    wt: 5:   Straight Lines Intersection of
  15.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  16.    wt: 5:   6 Intersection of lines by solving linear systems
  17.    wt: 5:   3 Multiplicative Counting Skills Principles
  18.    wt: 5:   2 Combing Counts Addition Skills and Principles
  19.    wt: 5:   1 The Counting Origins of Numbers
  20.    wt: 5:   7 Adding decimal fractions using decimal point
  21.    wt: 4:   16 Increasing or decreasing on intervals
  22.    wt: 4:   8 arcsin left inverse of sine Graph
  23.    wt: 4:   3 Left Inverse of cosine arccos definition
  24.    wt: 4:   4 graphing y=Asin(x c)
  25.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  26.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  27.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  28.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  29.    wt: 4:   8 Column Multiplication Methods in General
  30.    wt: 4:   4 Commutative Law Groups Counting Form
  31.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  32.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  33.    wt: 4:   4 Solving a triangular system exercise
  34.    wt: 4:   3 Solving triangular system example
  35.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  36.    wt: 4:   14 Adding and Subtracting with Like Denominators
  37.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  38.    wt: 4:   6. Counting and adding units and mixed units
  39.    wt: 4:   1. Explaining Addition Table
  40.    wt: 4:   2 Indefinite Integrals Exercises
  41.    wt: 4:   1 Chain Rule in Reverse Integration Method
  42.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  43.    wt: 4:   26 Chain Rule Recognising outer inner functions
  44.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  45.    wt: 3:   J LAMP Introduction Extrinsic Origins
  46.    wt: 3:   Different Kinds of Reasoning in maths
  47.    wt: 3:   fairness and inductive principles for instruction
  48.    wt: 3:   4 Energy Power Heat09
  49.    wt: 3:   3 Energy Power Heat08
  50.    wt: 3:   2 Energy Power Heat07
  51.    wt: 3:   1 Energy Power Heat06
  52.    wt: 3:   E Energy Power05
  53.    wt: 3:   D Energy Power04
  54.    wt: 3:   C Energy Power03
  55.    wt: 3:   B Energy Power02
  56.    wt: 3:   A Energy Power01
  57.    wt: 3:   2 Conductance Resistance Duality02
  58.    wt: 3:   1 Conductance Resistance Duality01
  59.    wt: 3:   F Wire Resistance Calculation04
  60.    wt: 3:   E Wire Resistance Calculation03
  61.    wt: 3:   D Wire Resistance Calculation02
  62.    wt: 3:   C Wire Resistance Calculation01
  63.    wt: 3:   B Wire Resistance Qualitative02
  64.    wt: 3:   A Wire Resistance Qualitative01
  65.    wt: 3:   H Series Circuit02
  66.    wt: 3:   G Series Circuit01
  67.    wt: 3:   E Kirchoffs Second Law
  68.    wt: 3:   D Kirchoff First Law
  69.    wt: 3:   C Electromotive force conventional current02
  70.    wt: 3:   B Electromotive force conventional current01
  71.    wt: 3:   A Circuit Elements
  72.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  73.    wt: 3:   20 Interchanging coordinates a reflection
  74.    wt: 3:   16 cotangent function Definition Graph and Inverse
  75.    wt: 3:   15 cosecant function Definition Graph and Inverse
  76.    wt: 3:   14 secant function Definition Graph and Inverse
  77.    wt: 3:   13 cosecant function Definition Graph and Inverse
  78.    wt: 3:   10 arctan left inverse of tangent Definition
  79.    wt: 3:   5 Swapping Coordinates is a reflection
  80.    wt: 3:   3 graphing y=f(x c) plus K
  81.    wt: 3:   1 graphing y=f(x a)
  82.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  83.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  84.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  85.    wt: 3:   C Straight Lines Slope from Coordinates
  86.    wt: 3:   B Straight Line Slope Scaling Properties More
  87.    wt: 3:   A Straight Line Slope Scaling Properties
  88.    wt: 3:   12 Straight Lines Graphing mx plus b
  89.    wt: 3:   11 Straight Lines Graphing y=mx
  90.    wt: 3:   10 Straight Lines through Origin Equations More
  91.    wt: 3:   9 Straight Lines through Origin Equations
  92.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  93.    wt: 3:   28 Expressing products of sines cosines as sums
  94.    wt: 3:   2 point slope equation for a line
  95.    wt: 3:   8 Distance Between Points on a Line
  96.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  97.    wt: 3:   12 Real Numbers Line Signed Coordinates
  98.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  99.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  100.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  101.    wt: 3:   4 Location of Point in Decimal Addition
  102.    wt: 3:   3 Location of Point in Decimal Multiplication
  103.    wt: 3:   2 Counting Digits in Decimal Multiplication
  104.    wt: 3:   E Long Division Methods more
  105.    wt: 3:   D Long Division Methods
  106.    wt: 3:   C Three Decimal Subtraction Methods
  107.    wt: 3:   B Decimal Comparison and Subtraction
  108.    wt: 3:   A Decimal Addition Columm Methods
  109.    wt: 3:   7 Decimals Multiplication Methods Examples
  110.    wt: 3:   6 Column Methods for Decimal Multiplication
  111.    wt: 3:   5 Distributive Law for Whole Numbers
  112.    wt: 3:   4 GE III Animated Examples
  113.    wt: 3:   3 GE III Equation Addition and Multiplication
  114.    wt: 3:   2 GE II Comparison
  115.    wt: 3:   1 GE Substitution four examples
  116.    wt: 3:   2 Essentially one exercises three with solution
  117.    wt: 3:   1 Essentially One Unknown
  118.    wt: 3:   5 Algebraic Solutions Introduction
  119.    wt: 3:   Using Letters for Physical Quantities
  120.    wt: 3:   1 Counting and Counting Methods I
  121.    wt: 3:   12 Adding Integers More Examples
  122.    wt: 3:   11 Adding Integers Formulas and Examples
  123.    wt: 3:   9 Multiplying Integers
  124.    wt: 3:   1 Integers as Coordinates
  125.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  126.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  127.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  128.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  129.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  130.    wt: 3:   9 22 Minute Subtraction Review Video
  131.    wt: 3:   2 Decimal Counting Practices
  132.    wt: 3:   4 Definite Integrals Evaluation Exercises
  133.    wt: 3:   29 Chain Rule Optional Reading
  134.    wt: 3:   25 Chain Rule Animated Examples Continued
  135.    wt: 3:   23 Chain Rule in general
  136.    wt: 3:   19 Chain Rule for linear functions
  137.    wt: 3:   18 Chain Rule Introduction
  138.    wt: 3:   17 Derivatives of quotients of sine and cosine
  139.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  140.    wt: 3:   15 sine and cosine derivatives 3rd step
  141.    wt: 3:   14 sine and cosine derivatives 2nd step
  142.    wt: 3:   13 sine and cosine derivatives 1st step
  143.    wt: 3:   11 Limits at infinity Three Examples
  144.    wt: 3:   10 Three one sided limits with infinite values
  145.    wt: 3:   6 Continuity at a point
  146.    wt: 3:   3 Decimal insights for limits continuity convergence
  147.    wt: 3:   H more Routine to non routine problem solving
  148.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  149.    wt: 3:   Helping the Blind in Logic and Mathematics
  150.    wt: 2:   H LAMP Introduction Instructional Concepts
  151.    wt: 2:   G LAMP Introduction Problem Solving Skills
  152.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  153.    wt: 2:   Ramblings Extrinsic numbers theory
  154.    wt: 2:   Ramblings Introduction Algebra Essay
  155.    wt: 2:   links Education Resources online
  156.    wt: 2:   grouping students according to ability
  157.    wt: 2:   teaching tutoring algebraic reason
  158.    wt: 2:   mathematics instruction in general
  159.    wt: 2:   three kinds of reason in mathematics
  160.    wt: 2:   cultivating intelligence
  161.    wt: 2:   Prequel In For A Penny In For A Pound
  162.    wt: 2:   chapitre 07 01 principle D induction mathematique
  163.    wt: 2:   Home Tutoring and Home Schooling
  164.    wt: 2:   2 Reading and Writing Skills
  165.    wt: 2:   26 Function definitions done and coming
  166.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  167.    wt: 2:   7 Functions with finite domains
  168.    wt: 2:   Introduction Reading Guide
  169.    wt: 2:   3 quadratics factoring by inspection
  170.    wt: 2:   2 quadratics graphing in general
  171.    wt: 2:   11 arctan left inverse of tangent Graph
  172.    wt: 2:   9 motivation for name arcsin
  173.    wt: 2:   2 cosine function more properties
  174.    wt: 2:   1 cosine function properties
  175.    wt: 2:   Triangle Angles Sum To 180 Degrees
  176.    wt: 2:   14 Straight Lines Equations General Case
  177.    wt: 2:   8 Straight Lines Equation for vertical
  178.    wt: 2:   7 Tangent Function is odd on this domain
  179.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  180.    wt: 2:   1 Straight Lines Slope Concept
  181.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  182.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  183.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  184.    wt: 2:   27 Logarithmic use of products of sines and cosines
  185.    wt: 2:   26 Formulas for products of sines and cosines
  186.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  187.    wt: 2:   21 sine and cosine Half Angle Formulas
  188.    wt: 2:   20 sine and cosine Double Angle Formulas
  189.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  190.    wt: 2:   18 sum of sinusoidal waves as a single wave
  191.    wt: 2:   17D cis formulas for sine cosines and tangent
  192.    wt: 2:   17C sine and cosine double triple angle formulas
  193.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  194.    wt: 2:   15 sine cosine Complementary Angle Relations
  195.    wt: 2:   14 cosine even and sine and tangent are odd
  196.    wt: 2:   11 tangent function undefined when terminal side vertical
  197.    wt: 2:   10 Graphs of sines and cosines many periods
  198.    wt: 2:   9 Graphs of sine and cosine over one period
  199.    wt: 2:   7 period of sine and cosine
  200.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  201.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  202.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  203.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  204.    wt: 2:   12 cis formulas for sine cosines and tangent
  205.    wt: 2:   11 sine and cosine double triple angle formulas
  206.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  207.    wt: 2:   3 Trigonometric Ratios sine and cosine
  208.    wt: 2:   4 Similarity Definition with Coordinate
  209.    wt: 2:   12 Links Lessons elsewhere
  210.    wt: 2:   10 Midpoint of [a b] and [b a]
  211.    wt: 2:   8 Mid Point Formula
  212.    wt: 2:   4 Equations for lines three forms
  213.    wt: 2:   3 Slope product for perpendicular lines
  214.    wt: 2:   1 Numerical view of lines and their equations
  215.    wt: 2:   12 Spatial Coordinates
  216.    wt: 2:   11 Triangle Inequality
  217.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  218.    wt: 2:   4 Polar Coordinates to and from
  219.    wt: 2:   3 Rectangular Coordinates Review
  220.    wt: 2:   2 Cartesian Coordinates with signs
  221.    wt: 2:   1 Cartesian Coordinates sans signs
  222.    wt: 2:   14 Parallel Lines Postulate
  223.    wt: 2:   10 Dropping a perpendicular to line
  224.    wt: 2:   musings do not puiblish real numbers
  225.    wt: 2:   A Modular and Remainder Arithmetic
  226.    wt: 2:   21 Addition of Multiples of a Single Vector
  227.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  228.    wt: 2:   15 Head to Tails in place Addition Associative
  229.    wt: 2:   13 Arrows and Vectors in a Plane
  230.    wt: 2:   9 Division with Digits after Decimal Point
  231.    wt: 2:   1 Fractions with Finite Decimal Expansions
  232.    wt: 2:   3 Inequalities Algebraically
  233.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  234.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  235.    wt: 2:   6 Compound Interest Forward and Backwards
  236.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  237.    wt: 2:   3 Linear Equation Literal Solution More
  238.    wt: 2:   2 Linear Equation Literal Solution
  239.    wt: 2:   1 Changing Calculations
  240.    wt: 2:   5 Greater More Less Than Signs in General
  241.    wt: 2:   3 More and Less Than with Unlike Signs
  242.    wt: 2:   9 Coordinates for Regions in Space
  243.    wt: 2:   7 Real Numbers as Line Cordinates
  244.    wt: 2:   More Exercises
  245.    wt: 2:   Simple Exercises
  246.    wt: 2:   6 Algebraic Solution Example
  247.    wt: 2:   4 Four Examples Fractional Coefficients
  248.    wt: 2:   3 Four Examples
  249.    wt: 2:   2 Three Examples
  250.    wt: 2:   1 Proper Equal Sign Usage
  251.    wt: 2:   Skill Development Notes
  252.    wt: 2:   10 One Example
  253.    wt: 2:   9 Three Examples
  254.    wt: 2:   8 One Example
  255.    wt: 2:   7 Two Examples
  256.    wt: 2:   6 Three Examples
  257.    wt: 2:   5 Three Examples
  258.    wt: 2:   4 Two Examples
  259.    wt: 2:   3 Two Examples
  260.    wt: 2:   2 Three Examples
  261.    wt: 2:   Formula Usage Show Work Format
  262.    wt: 2:   13 Naming Identifying Formulas with Words
  263.    wt: 2:   7 Compound Interest Formula Introduction
  264.    wt: 2:   1 Written work formats for developing and showing skill
  265.    wt: 2:   9 Sets in Probability and Statistics
  266.    wt: 2:   3 Counting with Sets etc
  267.    wt: 2:   1 Finite Sets
  268.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  269.    wt: 2:   4 Counting with Trees Product Rule Take I
  270.    wt: 2:   3 Counting with Tables and Trees II
  271.    wt: 2:   2 Counting with Tables and Trees I
  272.    wt: 2:   4 signed coordinates for regions in space
  273.    wt: 2:   7 Converting or Changing Units
  274.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  275.    wt: 2:   D Remainders Modulo 11 Pair Rule
  276.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  277.    wt: 2:   B Integer Long Division Multiple Choices
  278.    wt: 2:   13 Subtraction with Additive Inverse
  279.    wt: 2:   10 Integer Multiplication Formulas
  280.    wt: 2:   8 Multiplication by Signed Numbers Integers
  281.    wt: 2:   5 Zero Movement and Additive Inverses
  282.    wt: 2:   4 Adding Movements wiht opposite directions
  283.    wt: 2:   3 Adding Movements with same direction
  284.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  285.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  286.    wt: 2:   23 Remainder Arithmetic Modulo 2
  287.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  288.    wt: 2:   21 Remainder Arithmetic Modulo 3
  289.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  290.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  291.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  292.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  293.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  294.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  295.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  296.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  297.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  298.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  299.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  300.    wt: 2:   5 Remainder Arithmetic Modulo 5
  301.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  302.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  303.    wt: 2:   1 Remainder Arithmetic Modulo 10
  304.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  305.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  306.    wt: 2:   Subtraction with J Conversions Example
  307.    wt: 2:   Subtraction Another Video Lesson
  308.    wt: 2:   8 Subtraction with Units of Measure
  309.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  310.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  311.    wt: 2:   5 A Tip for Efficent Subtraction
  312.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  313.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  314.    wt: 2:   2 Subtraction Easy Case Examples
  315.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  316.    wt: 2:   8 What skills and work habits to require
  317.    wt: 2:   5. How to add decimals C. Examples
  318.    wt: 2:   4. How to add with decimals B with conversions
  319.    wt: 2:   3. How to add with decimals A sans conversions
  320.    wt: 2:   012 Division of Time Intervals by Time Intervals
  321.    wt: 2:   8 Addition of Time Intervals via subtotaling
  322.    wt: 2:   4 Mixing and Changing Units of Time
  323.    wt: 2:   A Related Material in Volume 3
  324.    wt: 2:   3 Two Chain Rule Method Exercises
  325.    wt: 2:   A Related lessons in Volume 3
  326.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  327.    wt: 2:   A Chain Rule Real Player video examples
  328.    wt: 2:   33 Chain Rule Real Player video examples
  329.    wt: 2:   31 Derivatives of inverse functions
  330.    wt: 2:   30Chain Rule A Proof
  331.    wt: 2:   28 Chain Rule Preparation for a Proof
  332.    wt: 2:   24 Chain Rule Animated Examples
  333.    wt: 2:   22 Chain Rule for polynomials
  334.    wt: 2:   21 Chain Rule for powers
  335.    wt: 2:   20 Chain Rule for Pulley Systems
  336.    wt: 2:   10 Power rule for negative integers
  337.    wt: 2:   3 Motivation for Limit Definition Take 2
  338.    wt: 2:   2 Motivation for Limit Definition Take 1
  339.    wt: 2:   9 Limits Continuity and Composition
  340.    wt: 2:   1 Numerical introduction
  341.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  342.    wt: 2:   F.4 Finite Covering Theorem
  343.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  344.    wt: 2:   Chapter 23 Links To Trigonometry
  345.    wt: 2:   Chapter 18. Slopes Areas Integration
  346.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  347.    wt: 2:   Chapter 11. Graphing Slope versus Position
  348.    wt: 2:   Chapter 9 About First Courses in Calculus
  349.    wt: 2:   Chapter 8. Slope Interpretation
  350.    wt: 2:   Chapter 1.Introduction
  351.    wt: 2:   Chapter 16. Painless Theorem Proving
  352.    wt: 2:   Chapter 15. Solving Linear Equations
  353.    wt: 2:   Chapter 10 Describing and Changing Calculations
  354.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  355.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  356.    wt: 2:   N Improving Marks on Tests and Finals
  357.    wt: 2:   G. Written work formats for developing and showing skill
  358.    wt: 2:   C. Domino effect of being careful
  359.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  360.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  361.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  362.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  363.    wt: 2:   Systematic Algebra Skill Development Missing Links
  364.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  365.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  366.    wt: 1:   K LAMP Musings Science Education
  367.    wt: 1:   I LAMP Introduction Study Habits
  368.    wt: 1:   F LAMP Introduction Prerequisites
  369.    wt: 1:   E LAMP Introduction Modern Mathematics
  370.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  371.    wt: 1:   A Introduction Objectives
  372.    wt: 1:   Skills Chapter 0 Introduction
  373.    wt: 1:   9 combinatorics probability sets
  374.    wt: 1:   7 logic review and decimals an odd combination
  375.    wt: 1:   site origins
  376.    wt: 1:   learning takes time
  377.    wt: 1:   mathematics in context
  378.    wt: 1:   Education Reform Inconsistencies
  379.    wt: 1:   Maps Plans Drawings
  380.    wt: 1:   teaching tips
  381.    wt: 1:   Lessening Algebra Difficulties
  382.    wt: 1:   Operational Viewpoint to Value
  383.    wt: 1:   formal or informal peer review
  384.    wt: 1:   Education in mathematics science and technology
  385.    wt: 1:   How to be a better instructor
  386.    wt: 1:   words for mathematics instructor
  387.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  388.    wt: 1:   chapitre 06 00 Chaines de la raison
  389.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  390.    wt: 1:   chapitre 01 00 Introduction
  391.    wt: 1:   deux definitions pour variable
  392.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  393.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  394.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  395.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  396.    wt: 1:   15 Counting For Parents
  397.    wt: 1:   10 Ends values for work study instruction
  398.    wt: 1:   9 Streaming by Student Cooperation
  399.    wt: 1:   4 Learning Takes Time and Effort
  400.    wt: 1:   3 Preparing for Science Studies
  401.    wt: 1:   1 Speaking Skills
  402.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  403.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  404.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  405.    wt: 1:   23 Inverse Functions
  406.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  407.    wt: 1:   19 Horizontal line rule and method
  408.    wt: 1:   18 Vertical Line Rule and Method
  409.    wt: 1:   17 Function maxima minima and their location
  410.    wt: 1:   14 Surjections Injections Bijections
  411.    wt: 1:   12 Function Domain Recognition Exercises
  412.    wt: 1:   11 Function Domain Range Source and Targets
  413.    wt: 1:   10 Interval Notation
  414.    wt: 1:   9 Set theory term relation possible origins
  415.    wt: 1:   4 Function notation in and beyond mathematics
  416.    wt: 1:   3 Formula or function graphing exercise
  417.    wt: 1:   1 Geometric Introduction of Function Notation
  418.    wt: 1:   5 quadratics completing the square
  419.    wt: 1:   1 quadratics graphing exercises
  420.    wt: 1:   Quadratics in 10 steps
  421.    wt: 1:   11 Growth and Decay in Biology
  422.    wt: 1:   8 Notes for instructors or tutors
  423.    wt: 1:   7 Links Lessons Elsewhere
  424.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  425.    wt: 1:   4 Polynomials Long division linear divisor
  426.    wt: 1:   Rewriting algebraic substitution as function substitutions
  427.    wt: 1:   12 motivation for term arctan
  428.    wt: 1:   6 Graph of arccos function
  429.    wt: 1:   4 possible motivation for term arccos
  430.    wt: 1:   7 Radian Measures in special Triangles
  431.    wt: 1:   1 Degrees and Radians Introduction
  432.    wt: 1:   13 Velocity Vectors in Physics
  433.    wt: 1:   10 Parallelogram Addition Method
  434.    wt: 1:   9 Head to Tail Coordinate View
  435.    wt: 1:   8 Parallel Vectors
  436.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  437.    wt: 1:   6 Vectors with Coordinates
  438.    wt: 1:   2 Signed Coordinates
  439.    wt: 1:   1 Unsigned Coordinates
  440.    wt: 1:   5 Tangent Function Graph
  441.    wt: 1:   4 Tangent Function Properties
  442.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  443.    wt: 1:   17F Law of cosines
  444.    wt: 1:   1 Unit Points Reflections Rotations
  445.    wt: 1:   16 References and Originality Question
  446.    wt: 1:   14 Law of cosines
  447.    wt: 1:   1 Rectangular Polar Coordinates Review
  448.    wt: 1:   8 Triangles Cascade Problem Solving
  449.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  450.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  451.    wt: 1:   11 Triangle Similarity Missing Side Problem
  452.    wt: 1:   6 Geometric Diagrams in Class
  453.    wt: 1:   3 Similarity by Design with coordinates
  454.    wt: 1:   1 Early Concept of Like or Similar Shapes
  455.    wt: 1:   Four Simple Exercises
  456.    wt: 1:   11 A Partial Summary
  457.    wt: 1:   7 Exercises to test skill and concept mastery
  458.    wt: 1:   5 Algebraic View of Slopes
  459.    wt: 1:   What is and is not here
  460.    wt: 1:   13 Pythagorean spatial distance formulas
  461.    wt: 1:   10 Pythagorean plane distance formula
  462.    wt: 1:   7 Complex Numbers Appetizer
  463.    wt: 1:   6 Polar Multiplication and Rotation
  464.    wt: 1:   5 Cartesian Addition and Translation
  465.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  466.    wt: 1:   PS E Multiplication with Polar Coordinates
  467.    wt: 1:   PS D Addition with Cartesian Coordinates
  468.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  469.    wt: 1:   PS B Parallelogram Construction Methods
  470.    wt: 1:   21 Parallelograms
  471.    wt: 1:   1 Initial Concepts and Terms
  472.    wt: 1:   6 Figuring with Maps Not to Scale
  473.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  474.    wt: 1:   2 Measuring Area Directly
  475.    wt: 1:   A Signed Number Arithmetic Review
  476.    wt: 1:   26 More Less Greater Than Comparison
  477.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  478.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  479.    wt: 1:   23 Distributive Law Two Derivations
  480.    wt: 1:   22 Multiplication of Signed Numbers
  481.    wt: 1:   19 Signed Multiples of Vectors
  482.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  483.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  484.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  485.    wt: 1:   11 Signed Number Addition and Addition Properties
  486.    wt: 1:   8 Division and Mulplication of Compound Fractions
  487.    wt: 1:   5 Areas of Rectangles Revisited
  488.    wt: 1:   4 Fraction Operations Axiomatic Development
  489.    wt: 1:   2 Fraction Operations Physical Development
  490.    wt: 1:   5 Proportionality in Equivalent Fractions
  491.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  492.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  493.    wt: 1:   5 Triangle Area Formula Backwards
  494.    wt: 1:   5 Equality in Algebra
  495.    wt: 1:   4 Comparison of Negative Numbers
  496.    wt: 1:   2 More and Less Than for Counts and Measures
  497.    wt: 1:   1 Real Numbers Comparison
  498.    wt: 1:   12 Real Number Additive Inverses or Negatives
  499.    wt: 1:   8 Coordinates for Maps and Planes
  500.    wt: 1:   2 Integers
  501.    wt: 1:   5 Independent versus Dependent Variables
  502.    wt: 1:   4 Changing Letters
  503.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  504.    wt: 1:   8 Compound Interest Formula Evaluation
  505.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  506.    wt: 1:   8 Sets of Numbers
  507.    wt: 1:   7 Cautious or Safe Set Construction
  508.    wt: 1:   6 Power Set Notation
  509.    wt: 1:   5 Product Builder Notation
  510.    wt: 1:   4 Subset Builder Notation
  511.    wt: 1:   2 Venn Diagrams
  512.    wt: 1:   5 Talking about Numbers and Quantities
  513.    wt: 1:   3 Adding Words To Arithmetic
  514.    wt: 1:   4 Greater More Less Than Signs in General
  515.    wt: 1:   2 More and Less Than with Unlike Signs
  516.    wt: 1:   1 Squares and Square Roots Introduction
  517.    wt: 1:   2 Least Common Multiple LCM intro via list method
  518.    wt: 1:   1 Least Common Multiples LCM Introduction
  519.    wt: 1:   10 dividing signed numbers
  520.    wt: 1:   9 subtracting signed numbers
  521.    wt: 1:   8 multiplying signed numbers
  522.    wt: 1:   7 negative and additive inverse
  523.    wt: 1:   6 adding signed numbers
  524.    wt: 1:   3 signed coordinates for maps and planes
  525.    wt: 1:   2 signed and unsigned numbers as coordinates
  526.    wt: 1:   3 Multiplying Units and Numbers
  527.    wt: 1:   21 Working With Signs
  528.    wt: 1:   20 Dividing Fractions the Why
  529.    wt: 1:   19 Dividing Fractions How TO
  530.    wt: 1:   A Associative Law Theorectical Note
  531.    wt: 1:   7 Multiplication by Signs
  532.    wt: 1:   6 Multiplication by Natural Numbers
  533.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  534.    wt: 1:   26 Divisibility by 2 3 5 Example
  535.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  536.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  537.    wt: 1:   17 Identify and Count Factors using Primes
  538.    wt: 1:   16 video Factors of 980 using prime
  539.    wt: 1:   15 video Factors of 20 using Prime Factorization
  540.    wt: 1:   13 video Factors of 24 using prime
  541.    wt: 1:   12 LCD GCD and LCM using Primes
  542.    wt: 1:   4 video Prime Factorization Introduction
  543.    wt: 1:   11 Another Single Digit Divisor Example
  544.    wt: 1:   8 Correcting the Mistake
  545.    wt: 1:   7 Long Divison Mistake Catching
  546.    wt: 1:   5 Long Division Include Zeroes or not
  547.    wt: 1:   3 Division Single Digit Divisor Example
  548.    wt: 1:   2 Division with Single Digit Divisors
  549.    wt: 1:   C Counting Areas with Powers of Ten
  550.    wt: 1:   Video Power Notation in Decimal Expansion
  551.    wt: 1:   11 Place Value SI Standard International way
  552.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  553.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  554.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  555.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  556.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  557.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  558.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  559.    wt: 1:   016 Numbering Occidental Calendar Days
  560.    wt: 1:   015 School and work day counting tables
  561.    wt: 1:   014 Counting Days with Calendars
  562.    wt: 1:   011 Division of Time Intervals By Numbers
  563.    wt: 1:   010 Repeated Addition of Time Intervals
  564.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  565.    wt: 1:   7 Addition of Time Intervals
  566.    wt: 1:   2 Time and Date Matters in School
  567.    wt: 1:   1 Intro of Kids To Time Date Skills
  568.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  569.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  570.    wt: 1:   5 Area Under Curve Exercise
  571.    wt: 1:   4 Second derivative test exercise example
  572.    wt: 1:   3 Second derivative test
  573.    wt: 1:   2 Second derivative test prequel
  574.    wt: 1:   38 Formulas and derivatives for powers and roots
  575.    wt: 1:   36 Cube root derivative animated
  576.    wt: 1:   34 Derivative of exponential function
  577.    wt: 1:   12 Quotient rule examples
  578.    wt: 1:   11 Quotient rule
  579.    wt: 1:   9 Reciprocal rule
  580.    wt: 1:   8 Differentiation of polynomials
  581.    wt: 1:   7 Animated Differentiation Examples
  582.    wt: 1:   6 Power rule from product rule
  583.    wt: 1:   5 Product Rule
  584.    wt: 1:   4 Sum Rule
  585.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  586.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  587.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  588.    wt: 1:   8 Four Animated Examples
  589.    wt: 1:   7 Evaluation by immediate or delayed substitution
  590.    wt: 1:   5 Jumps and absence of unlimited error control
  591.    wt: 1:   4 Numerical properties
  592.    wt: 1:   2 Algebraic codification
  593.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  594.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  595.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  596.    wt: 1:   F.5a Equicontinuity Theorems
  597.    wt: 1:   F.3 Intermediate Value Theorem
  598.    wt: 1:   F.1 What Functions are Continuous
  599.    wt: 1:   E1 Error Control Inequalities
  600.    wt: 1:   C Triangle Inequalities
  601.    wt: 1:   PostScript For and Against Decimal Perspectives
  602.    wt: 1:   A1. Introduction
  603.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  604.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  605.    wt: 1:   Chapter 22 Complex Numbers
  606.    wt: 1:   Chapter 21 Arrow Addition
  607.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  608.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  609.    wt: 1:   Chapter 17. Area Approximation
  610.    wt: 1:   Chapter 16. Velocity Approximation
  611.    wt: 1:   Chapter 15. Slope Approximation
  612.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  613.    wt: 1:   Chapter 13. Acceleration
  614.    wt: 1:   Chapter 12. Units and Slopes
  615.    wt: 1:   Chapter 10 Slopes and Units
  616.    wt: 1:   Chapter 7 Slopes and Velocity
  617.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  618.    wt: 1:   Chapter 5. Slope Sign Tests
  619.    wt: 1:   Chapter 4. More Slope Sign Analysis
  620.    wt: 1:   Chapter 3. Slope Sign Analysis
  621.    wt: 1:   Chapter 2. Slopes and Ski Trails
  622.    wt: 1:   Fall 1983 Calculus Appetizer
  623.    wt: 1:   Foreword
  624.    wt: 1:   Appendix D. What to do in School and Why
  625.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  626.    wt: 1:   Chapter 31 Direct and Indirect Reason
  627.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  628.    wt: 1:   Chapter 25. Mathematical Induction Examples
  629.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  630.    wt: 1:   Chapter 21. Third Reading Guide
  631.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  632.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  633.    wt: 1:   Chapter 13. Second Reading Guide
  634.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  635.    wt: 1:   Chapter 4 Longer Chains of Reason
  636.    wt: 1:   Chapter 3 Chains of Reason
  637.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  638.    wt: 1:   Annotated Links to Material Elsehwere
  639.    wt: 1:   Chapter 11 Elementary Instruction
  640.    wt: 1:   Chapter 8 Modern Instruction
  641.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  642.    wt: 1:   Chapter 2 For and Against Mathematics
  643.    wt: 1:   Chapter 1 Introduction
  644.    wt: 1:   Postscript B More on Story Telling and Reason
  645.    wt: 1:   Postscript A Story Telling
  646.    wt: 1:   Chapter 24 Direct and Indirect Reason
  647.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  648.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  649.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  650.    wt: 1:   Chapter 7 Longer Chains of Reason
  651.    wt: 1:   Chapter 6 Chains of Reason
  652.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  653.    wt: 1:   Chapter 1 Introduction
  654.    wt: 1:   S Adding words to algebra
  655.    wt: 1:   O On Learning Mathematics and Science
  656.    wt: 1:   J. More on written work and showing skill
  657.    wt: 1:   H Jigsaw puzzles and problem solving
  658.    wt: 1:   B. Domino effect of errors
  659.    wt: 1:   7 Games and Activities for Instruction
  660.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  661.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  662.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  663.    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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