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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

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

489 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 4:   F Unlike Resistors in Series
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  8.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  9.    wt: 3:   J LAMP Introduction Extrinsic Origins
  10.    wt: 3:   Different Kinds of Reasoning in maths
  11.    wt: 3:   fairness and inductive principles for instruction
  12.    wt: 3:   2 Unlike resistors in parallel01
  13.    wt: 3:   1 Like resistors in series
  14.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  15.    wt: 3:   20 Interchanging coordinates a reflection
  16.    wt: 3:   8 arcsin left inverse of sine Graph
  17.    wt: 3:   3 Left Inverse of cosine arccos definition
  18.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  19.    wt: 3:   Straight Lines Instersection Solving Equations
  20.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  21.    wt: 3:   28 Expressing products of sines cosines as sums
  22.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  23.    wt: 3:   14 Adding and Subtracting with Like Denominators
  24.    wt: 3:   7 Adding decimal fractions using decimal point
  25.    wt: 3:   2 Indefinite Integrals Exercises
  26.    wt: 3:   1 Chain Rule in Reverse Integration Method
  27.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  28.    wt: 3:   26 Chain Rule Recognising outer inner functions
  29.    wt: 3:   H more Routine to non routine problem solving
  30.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  31.    wt: 3:   Helping the Blind in Logic and Mathematics
  32.    wt: 2:   H LAMP Introduction Instructional Concepts
  33.    wt: 2:   G LAMP Introduction Problem Solving Skills
  34.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  35.    wt: 2:   Ramblings Extrinsic numbers theory
  36.    wt: 2:   Ramblings Introduction Algebra Essay
  37.    wt: 2:   links Education Resources online
  38.    wt: 2:   grouping students according to ability
  39.    wt: 2:   teaching tutoring algebraic reason
  40.    wt: 2:   mathematics instruction in general
  41.    wt: 2:   three kinds of reason in mathematics
  42.    wt: 2:   cultivating intelligence
  43.    wt: 2:   Prequel In For A Penny In For A Pound
  44.    wt: 2:   chapitre 07 01 principle D induction mathematique
  45.    wt: 2:   3 Like resistors in parallel
  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:   12 Links Lessons elsewhere
  272.    wt: 1:   10 Midpoint of [a b] and [b a]
  273.    wt: 1:   8 Mid Point Formula
  274.    wt: 1:   4 Equations for lines three forms
  275.    wt: 1:   3 Slope product for perpendicular lines
  276.    wt: 1:   1 Numerical view of lines and their equations
  277.    wt: 1:   12 Spatial Coordinates
  278.    wt: 1:   11 Triangle Inequality
  279.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  280.    wt: 1:   4 Polar Coordinates to and from
  281.    wt: 1:   3 Rectangular Coordinates Review
  282.    wt: 1:   2 Cartesian Coordinates with signs
  283.    wt: 1:   1 Cartesian Coordinates sans signs
  284.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  285.    wt: 1:   PS E Multiplication with Polar Coordinates
  286.    wt: 1:   PS D Addition with Cartesian Coordinates
  287.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  288.    wt: 1:   14 Parallel Lines Postulate
  289.    wt: 1:   1 Initial Concepts and Terms
  290.    wt: 1:   6 Figuring with Maps Not to Scale
  291.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  292.    wt: 1:   2 Measuring Area Directly
  293.    wt: 1:   musings do not puiblish real numbers
  294.    wt: 1:   A Modular and Remainder Arithmetic
  295.    wt: 1:   21 Addition of Multiples of a Single Vector
  296.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  297.    wt: 1:   15 Head to Tails in place Addition Associative
  298.    wt: 1:   13 Arrows and Vectors in a Plane
  299.    wt: 1:   9 Division with Digits after Decimal Point
  300.    wt: 1:   1 Fractions with Finite Decimal Expansions
  301.    wt: 1:   8 Column Multiplication Methods in General
  302.    wt: 1:   4 Commutative Law Groups Counting Form
  303.    wt: 1:   3 Inequalities Algebraically
  304.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  305.    wt: 1:   5 Proportionality in Equivalent Fractions
  306.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  307.    wt: 1:   6 Compound Interest Forward and Backwards
  308.    wt: 1:   3 Linear Equation Literal Solution More
  309.    wt: 1:   2 Linear Equation Literal Solution
  310.    wt: 1:   1 Changing Calculations
  311.    wt: 1:   5 Equality in Algebra
  312.    wt: 1:   5 Greater More Less Than Signs in General
  313.    wt: 1:   3 More and Less Than with Unlike Signs
  314.    wt: 1:   12 Real Number Additive Inverses or Negatives
  315.    wt: 1:   8 Coordinates for Maps and Planes
  316.    wt: 1:   2 Integers
  317.    wt: 1:   5 Independent versus Dependent Variables
  318.    wt: 1:   4 Changing Letters
  319.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  320.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  321.    wt: 1:   4 Solving a triangular system exercise
  322.    wt: 1:   3 Solving triangular system example
  323.    wt: 1:   5 Algebraic Solutions Introduction
  324.    wt: 1:   Using Letters for Physical Quantities
  325.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  326.    wt: 1:   8 Compound Interest Formula Evaluation
  327.    wt: 1:   9 Sets in Probability and Statistics
  328.    wt: 1:   3 Counting with Sets etc
  329.    wt: 1:   1 Finite Sets
  330.    wt: 1:   5 Talking about Numbers and Quantities
  331.    wt: 1:   3 Adding Words To Arithmetic
  332.    wt: 1:   4 Greater More Less Than Signs in General
  333.    wt: 1:   2 More and Less Than with Unlike Signs
  334.    wt: 1:   1 Squares and Square Roots Introduction
  335.    wt: 1:   2 Least Common Multiple LCM intro via list method
  336.    wt: 1:   1 Least Common Multiples LCM Introduction
  337.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  338.    wt: 1:   4 Counting with Trees Product Rule Take I
  339.    wt: 1:   3 Counting with Tables and Trees II
  340.    wt: 1:   2 Counting with Tables and Trees I
  341.    wt: 1:   10 dividing signed numbers
  342.    wt: 1:   9 subtracting signed numbers
  343.    wt: 1:   8 multiplying signed numbers
  344.    wt: 1:   7 negative and additive inverse
  345.    wt: 1:   6 adding signed numbers
  346.    wt: 1:   3 signed coordinates for maps and planes
  347.    wt: 1:   2 signed and unsigned numbers as coordinates
  348.    wt: 1:   3 Multiplying Units and Numbers
  349.    wt: 1:   21 Working With Signs
  350.    wt: 1:   20 Dividing Fractions the Why
  351.    wt: 1:   19 Dividing Fractions How TO
  352.    wt: 1:   D Remainders Modulo 11 Pair Rule
  353.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  354.    wt: 1:   B Integer Long Division Multiple Choices
  355.    wt: 1:   13 Subtraction with Additive Inverse
  356.    wt: 1:   10 Integer Multiplication Formulas
  357.    wt: 1:   8 Multiplication by Signed Numbers Integers
  358.    wt: 1:   5 Zero Movement and Additive Inverses
  359.    wt: 1:   4 Adding Movements wiht opposite directions
  360.    wt: 1:   3 Adding Movements with same direction
  361.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  362.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  363.    wt: 1:   23 Remainder Arithmetic Modulo 2
  364.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  365.    wt: 1:   21 Remainder Arithmetic Modulo 3
  366.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  367.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  368.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  369.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  370.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  371.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  372.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  373.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  374.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  375.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  376.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  377.    wt: 1:   5 Remainder Arithmetic Modulo 5
  378.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  379.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  380.    wt: 1:   1 Remainder Arithmetic Modulo 10
  381.    wt: 1:   17 Identify and Count Factors using Primes
  382.    wt: 1:   16 video Factors of 980 using prime
  383.    wt: 1:   15 video Factors of 20 using Prime Factorization
  384.    wt: 1:   13 video Factors of 24 using prime
  385.    wt: 1:   12 LCD GCD and LCM using Primes
  386.    wt: 1:   4 video Prime Factorization Introduction
  387.    wt: 1:   11 Another Single Digit Divisor Example
  388.    wt: 1:   8 Correcting the Mistake
  389.    wt: 1:   7 Long Divison Mistake Catching
  390.    wt: 1:   5 Long Division Include Zeroes or not
  391.    wt: 1:   3 Division Single Digit Divisor Example
  392.    wt: 1:   2 Division with Single Digit Divisors
  393.    wt: 1:   C Counting Areas with Powers of Ten
  394.    wt: 1:   Video Power Notation in Decimal Expansion
  395.    wt: 1:   9 22 Minute Subtraction Review Video
  396.    wt: 1:   2 Decimal Counting Practices
  397.    wt: 1:   11 Place Value SI Standard International way
  398.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  399.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  400.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  401.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  402.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  403.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  404.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  405.    wt: 1:   016 Numbering Occidental Calendar Days
  406.    wt: 1:   015 School and work day counting tables
  407.    wt: 1:   014 Counting Days with Calendars
  408.    wt: 1:   011 Division of Time Intervals By Numbers
  409.    wt: 1:   010 Repeated Addition of Time Intervals
  410.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  411.    wt: 1:   7 Addition of Time Intervals
  412.    wt: 1:   2 Time and Date Matters in School
  413.    wt: 1:   1 Intro of Kids To Time Date Skills
  414.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  415.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  416.    wt: 1:   A Related Material in Volume 3
  417.    wt: 1:   3 Two Chain Rule Method Exercises
  418.    wt: 1:   A Related lessons in Volume 3
  419.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  420.    wt: 1:   A Chain Rule Real Player video examples
  421.    wt: 1:   33 Chain Rule Real Player video examples
  422.    wt: 1:   31 Derivatives of inverse functions
  423.    wt: 1:   30Chain Rule A Proof
  424.    wt: 1:   28 Chain Rule Preparation for a Proof
  425.    wt: 1:   24 Chain Rule Animated Examples
  426.    wt: 1:   22 Chain Rule for polynomials
  427.    wt: 1:   21 Chain Rule for powers
  428.    wt: 1:   20 Chain Rule for Pulley Systems
  429.    wt: 1:   10 Power rule for negative integers
  430.    wt: 1:   3 Motivation for Limit Definition Take 2
  431.    wt: 1:   2 Motivation for Limit Definition Take 1
  432.    wt: 1:   9 Limits Continuity and Composition
  433.    wt: 1:   1 Numerical introduction
  434.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  435.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  436.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  437.    wt: 1:   F.5a Equicontinuity Theorems
  438.    wt: 1:   F.3 Intermediate Value Theorem
  439.    wt: 1:   F.1 What Functions are Continuous
  440.    wt: 1:   E1 Error Control Inequalities
  441.    wt: 1:   C Triangle Inequalities
  442.    wt: 1:   PostScript For and Against Decimal Perspectives
  443.    wt: 1:   A1. Introduction
  444.    wt: 1:   Chapter 23 Links To Trigonometry
  445.    wt: 1:   Chapter 18. Slopes Areas Integration
  446.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  447.    wt: 1:   Chapter 11. Graphing Slope versus Position
  448.    wt: 1:   Chapter 9 About First Courses in Calculus
  449.    wt: 1:   Chapter 8. Slope Interpretation
  450.    wt: 1:   Chapter 1.Introduction
  451.    wt: 1:   Appendix D. What to do in School and Why
  452.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  453.    wt: 1:   Chapter 31 Direct and Indirect Reason
  454.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  455.    wt: 1:   Chapter 25. Mathematical Induction Examples
  456.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  457.    wt: 1:   Chapter 21. Third Reading Guide
  458.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  459.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  460.    wt: 1:   Chapter 13. Second Reading Guide
  461.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  462.    wt: 1:   Chapter 4 Longer Chains of Reason
  463.    wt: 1:   Chapter 3 Chains of Reason
  464.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  465.    wt: 1:   Annotated Links to Material Elsehwere
  466.    wt: 1:   Chapter 11 Elementary Instruction
  467.    wt: 1:   Chapter 8 Modern Instruction
  468.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  469.    wt: 1:   Chapter 2 For and Against Mathematics
  470.    wt: 1:   Chapter 1 Introduction
  471.    wt: 1:   Postscript B More on Story Telling and Reason
  472.    wt: 1:   Postscript A Story Telling
  473.    wt: 1:   Chapter 24 Direct and Indirect Reason
  474.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  475.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  476.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  477.    wt: 1:   Chapter 7 Longer Chains of Reason
  478.    wt: 1:   Chapter 6 Chains of Reason
  479.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  480.    wt: 1:   Chapter 1 Introduction
  481.    wt: 1:   S Adding words to algebra
  482.    wt: 1:   O On Learning Mathematics and Science
  483.    wt: 1:   J. More on written work and showing skill
  484.    wt: 1:   H Jigsaw puzzles and problem solving
  485.    wt: 1:   B. Domino effect of errors
  486.    wt: 1:   7 Games and Activities for Instruction
  487.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  488.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  489.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

657 matches:

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.