Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons. See Site Map

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

11 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Archives/
  5.    wt: 1:   Mathematics Skills Year by Year/
  6.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  7.    wt: 1:   Volume 1 Elements of Reason/
  8.    wt: 1:   Mathematics 506 Lessons/
  9.    wt: 1:   Secondary Mathematics A Practical Approach/
  10.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  11.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

52 matches:

  1.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 2:   Mathematics Education Professors
  3.    wt: 2:   three goals for Mathematics Education
  4.    wt: 2:   02 20 mathematics education references
  5.    wt: 2:   Education in mathematics science and technology
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   Postscript B Mathematics Education References
  8.    wt: 2:   Mathematics Education References
  9.    wt: 2:   Mathematics Education References
  10.    wt: 1:   K LAMP Musings Science Education
  11.    wt: 1:   E LAMP Introduction Modern Mathematics
  12.    wt: 1:   11 pure mathematics
  13.    wt: 1:   links Education Resources online
  14.    wt: 1:   modern education
  15.    wt: 1:   mathematics in context
  16.    wt: 1:   Education Reform Inconsistencies
  17.    wt: 1:   Secondary Three Mathematics
  18.    wt: 1:   Secondary Two Mathematics
  19.    wt: 1:   Secondary One Mathematics
  20.    wt: 1:   mathematics curriculum shifts
  21.    wt: 1:   04 29 New Mathematics Curriculum
  22.    wt: 1:   three aims for mathematics students
  23.    wt: 1:   mathematics instruction in general
  24.    wt: 1:   three kinds of reason in mathematics
  25.    wt: 1:   Four ways to improve education reform
  26.    wt: 1:   need for a mixed mathematics curriculum
  27.    wt: 1:   Leaner mathematics curriculum
  28.    wt: 1:   education an empirical art
  29.    wt: 1:   words for mathematics instructor
  30.    wt: 1:   A Circuit Elements
  31.    wt: 1:   22 Student Centered Highschool Mathematics
  32.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  33.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  34.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  35.    wt: 1:   18 Primary School Mathematics
  36.    wt: 1:   16 Secondary Mathematics Tips
  37.    wt: 1:   12 Goals and Objectives For Mathematics
  38.    wt: 1:   11 Help and Defend Your Child or Teens Education
  39.    wt: 1:   4 Function notation in and beyond mathematics
  40.    wt: 1:   12 From Applied To Pure Mathematics
  41.    wt: 1:   6 Equations and Systems Equivalent or Implied
  42.    wt: 1:   Appendix E. How To Study Mathematics and Why
  43.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  44.    wt: 1:   Chapter 2 For and Against Mathematics
  45.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  46.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  47.    wt: 1:   R Why Learn Mathematics Skills
  48.    wt: 1:   O On Learning Mathematics and Science
  49.    wt: 1:   N Mathematics Prepare for College Studies
  50.    wt: 1:   Helping the Blind in Logic and Mathematics
  51.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  52.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

874 matches:

  1.    wt: 7:   Mathematics Education Professors
  2.    wt: 7:   three goals for Mathematics Education
  3.    wt: 7:   02 20 mathematics education references
  4.    wt: 7:   Education in mathematics science and technology
  5.    wt: 6:   links Education Resources online
  6.    wt: 6:   modern education
  7.    wt: 6:   mathematics in context
  8.    wt: 6:   Education Reform Inconsistencies
  9.    wt: 6:   Secondary Three Mathematics
  10.    wt: 6:   Secondary Two Mathematics
  11.    wt: 6:   Secondary One Mathematics
  12.    wt: 6:   mathematics curriculum shifts
  13.    wt: 6:   04 29 New Mathematics Curriculum
  14.    wt: 6:   three aims for mathematics students
  15.    wt: 6:   mathematics instruction in general
  16.    wt: 6:   three kinds of reason in mathematics
  17.    wt: 6:   Four ways to improve education reform
  18.    wt: 6:   need for a mixed mathematics curriculum
  19.    wt: 6:   Leaner mathematics curriculum
  20.    wt: 6:   education an empirical art
  21.    wt: 6:   words for mathematics instructor
  22.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  23.    wt: 5:   11 pure mathematics
  24.    wt: 5:   why bother
  25.    wt: 5:   which way to go
  26.    wt: 5:   website reviews
  27.    wt: 5:   three goals to set for students
  28.    wt: 5:   Teach the teachers plus goals
  29.    wt: 5:   permissions for teachers
  30.    wt: 5:   Math Ed if it must be short make it lean effective
  31.    wt: 5:   Applied Maths Program14092009 POMME variant
  32.    wt: 5:   activities for students
  33.    wt: 5:   site origins
  34.    wt: 5:   site eurekas
  35.    wt: 5:   About site lesson plans
  36.    wt: 5:   key notes and themes
  37.    wt: 5:   teacher certification
  38.    wt: 5:   learning takes time
  39.    wt: 5:   grouping students according to ability
  40.    wt: 5:   what should be learnt and When
  41.    wt: 5:   Postscript 2007 01 10
  42.    wt: 5:   five decades make a difference
  43.    wt: 5:   Maps Plans Drawings
  44.    wt: 5:   how letters appear
  45.    wt: 5:   talk the algebra talk
  46.    wt: 5:   three difficulties
  47.    wt: 5:   teaching tips
  48.    wt: 5:   What to Tell Students
  49.    wt: 5:   geometric implications for algebra
  50.    wt: 5:   teaching tutoring algebraic reason
  51.    wt: 5:   Lessening Algebra Difficulties
  52.    wt: 5:   the trouble with algebra
  53.    wt: 5:   05 13 OldSiteEntrancePage
  54.    wt: 5:   04 25 when to stop or suspend mathemat
  55.    wt: 5:   02 21 words for teachers
  56.    wt: 5:   standards for course material
  57.    wt: 5:   Operational Viewpoint to Value
  58.    wt: 5:   formal or informal peer review
  59.    wt: 5:   Theory of Knowledge
  60.    wt: 5:   Different Kinds of Reasoning in maths
  61.    wt: 5:   cultivating intelligence
  62.    wt: 5:   How to be a better instructor
  63.    wt: 5:   Motivation and Context Problem
  64.    wt: 5:   Prequel In For A Penny In For A Pound
  65.    wt: 5:   fairness and inductive principles for instruction
  66.    wt: 4:   K LAMP Musings Science Education
  67.    wt: 4:   E LAMP Introduction Modern Mathematics
  68.    wt: 4:   10 statistics
  69.    wt: 4:   9 combinatorics probability sets
  70.    wt: 4:   8 analytic geometry etc
  71.    wt: 4:   7 logic review and decimals an odd combination
  72.    wt: 4:   6 polynomials etc
  73.    wt: 4:   5 logarithms and exponentials etc
  74.    wt: 4:   4 algebra
  75.    wt: 4:   3 Euclidean Geometry Leanly
  76.    wt: 4:   2 arithmetic with signed numbers
  77.    wt: 4:   1 arithmetic with unsigned numbers
  78.    wt: 4:   What is POMME
  79.    wt: 4:   Postscript B Mathematics Education References
  80.    wt: 4:   Mathematics Education References
  81.    wt: 4:   Mathematics Education References
  82.    wt: 3:   Appendix 2 primary school Arithmetic 01
  83.    wt: 3:   Appendix 1 primary and preschool mathematic
  84.    wt: 3:   J LAMP Introduction Extrinsic Origins
  85.    wt: 3:   I LAMP Introduction Study Habits
  86.    wt: 3:   H LAMP Introduction Instructional Concepts
  87.    wt: 3:   G LAMP Introduction Problem Solving Skills
  88.    wt: 3:   F LAMP Introduction Prerequisites
  89.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  90.    wt: 3:   A Introduction Objectives
  91.    wt: 3:   Skills Chapter 5 Calculus
  92.    wt: 3:   Skills Chapter 4 Logic
  93.    wt: 3:   Ramblings Extrinsic numbers theory
  94.    wt: 3:   Ramblings Introduction Algebra Essay
  95.    wt: 3:   Skills Chapter 3 Algebra
  96.    wt: 3:   Skills Chapter 2 Geometry
  97.    wt: 3:   Skills Chapter 1 Arithmetic
  98.    wt: 3:   Skills Chapter 0 Introduction
  99.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  100.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  101.    wt: 3:   Chapter 2 For and Against Mathematics
  102.    wt: 3:   Helping the Blind in Logic and Mathematics
  103.    wt: 2:   A Circuit Elements
  104.    wt: 2:   22 Student Centered Highschool Mathematics
  105.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  106.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  107.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  108.    wt: 2:   18 Primary School Mathematics
  109.    wt: 2:   16 Secondary Mathematics Tips
  110.    wt: 2:   12 Goals and Objectives For Mathematics
  111.    wt: 2:   11 Help and Defend Your Child or Teens Education
  112.    wt: 2:   Ages 8 to 9
  113.    wt: 2:   Ages 7 to 8
  114.    wt: 2:   Ages 6 to 7
  115.    wt: 2:   Ages 4 plus to 5 plus
  116.    wt: 2:   Ages 3 plus to 4 plus
  117.    wt: 2:   4 Function notation in and beyond mathematics
  118.    wt: 2:   12 From Applied To Pure Mathematics
  119.    wt: 2:   Appendix E. How To Study Mathematics and Why
  120.    wt: 2:   Annotated Links to Material Elsehwere
  121.    wt: 2:   Postscript A Three Remarks
  122.    wt: 2:   Chapter 12 Four Phases
  123.    wt: 2:   Chapter 11 Elementary Instruction
  124.    wt: 2:   Chapter 10 Transition
  125.    wt: 2:   Chapter 9 The Two Ends
  126.    wt: 2:   Chapter 8 Modern Instruction
  127.    wt: 2:   Chapter 7 Two Treatments of Geometry
  128.    wt: 2:   Chapter 5 Four References
  129.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  130.    wt: 2:   Chapter 3 Algebra Difficulties
  131.    wt: 2:   Chapter 1 Introduction
  132.    wt: 2:   Foreword
  133.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  134.    wt: 2:   R Why Learn Mathematics Skills
  135.    wt: 2:   O On Learning Mathematics and Science
  136.    wt: 2:   N Mathematics Prepare for College Studies
  137.    wt: 2:   Chapter 8 Skipped Topics and Why
  138.    wt: 2:   Chapter 6 More Algebra and Geometry
  139.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  140.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  141.    wt: 2:   Chapter 3 Algebra Starter Lessons
  142.    wt: 2:   Chapter 2 Why Sets
  143.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  144.    wt: 2:   7 Games and Activities for Instruction
  145.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  146.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  147.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  148.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  149.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  150.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  151.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  152.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  153.    wt: 2:   Implementation Notes
  154.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  155.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  156.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  157.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  158.    wt: 2:   Which Way To Go
  159.    wt: 1:   chapitre 12 00 les iles et division
  160.    wt: 1:   chapitre 07 01 principle D induction mathematique
  161.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  162.    wt: 1:   chapitre 06 00 Chaines de la raison
  163.    wt: 1:   chapitre 05 00 Deception
  164.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  165.    wt: 1:   chapitre 04 09 Regles accidentelles
  166.    wt: 1:   chapitre 04 08 Limitations et benefices
  167.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  168.    wt: 1:   chapitre 04 06 engagements
  169.    wt: 1:   chapitre 04 05 Implication versus suggestion
  170.    wt: 1:   chapitre 04 04 Parlons de la logique
  171.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  172.    wt: 1:   chapitre 04 02 Deuxieme enigme
  173.    wt: 1:   chapitre 04 01 Premiere enigme
  174.    wt: 1:   chapitre 04 00 Les regles d implication
  175.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  176.    wt: 1:   chapitre 02 00 La Communication des idees
  177.    wt: 1:   chapitre 01 00 Introduction
  178.    wt: 1:   liens
  179.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  180.    wt: 1:   problemes responses
  181.    wt: 1:   problemes algebre et arithmetique
  182.    wt: 1:   Trois Notions qui menent a algebre
  183.    wt: 1:   deux definitions pour variable
  184.    wt: 1:   logique deux enigme
  185.    wt: 1:   4 Energy Power Heat09
  186.    wt: 1:   3 Energy Power Heat08
  187.    wt: 1:   2 Energy Power Heat07
  188.    wt: 1:   1 Energy Power Heat06
  189.    wt: 1:   E Energy Power05
  190.    wt: 1:   D Energy Power04
  191.    wt: 1:   C Energy Power03
  192.    wt: 1:   B Energy Power02
  193.    wt: 1:   A Energy Power01
  194.    wt: 1:   2 Conductance Resistance Duality02
  195.    wt: 1:   1 Conductance Resistance Duality01
  196.    wt: 1:   F Wire Resistance Calculation04
  197.    wt: 1:   E Wire Resistance Calculation03
  198.    wt: 1:   D Wire Resistance Calculation02
  199.    wt: 1:   C Wire Resistance Calculation01
  200.    wt: 1:   B Wire Resistance Qualitative02
  201.    wt: 1:   A Wire Resistance Qualitative01
  202.    wt: 1:   3 Like resistors in parallel
  203.    wt: 1:   2 Unlike resistors in parallel01
  204.    wt: 1:   1 Like resistors in series
  205.    wt: 1:   H Series Circuit02
  206.    wt: 1:   G Series Circuit01
  207.    wt: 1:   F Unlike Resistors in Series
  208.    wt: 1:   E Kirchoffs Second Law
  209.    wt: 1:   D Kirchoff First Law
  210.    wt: 1:   C Electromotive force conventional current02
  211.    wt: 1:   B Electromotive force conventional current01
  212.    wt: 1:   Home Tutoring and Home Schooling
  213.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  214.    wt: 1:   24 Standards For Skill Develoment Take II
  215.    wt: 1:   24 Standards For Skill Develoment
  216.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  217.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  218.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  219.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  220.    wt: 1:   17 Math Booklets for children and young teenagers
  221.    wt: 1:   15 Counting For Parents
  222.    wt: 1:   14 Multiplication and Times Tables
  223.    wt: 1:   13 Addition and Addition Tables
  224.    wt: 1:   10 Ends values for work study instruction
  225.    wt: 1:   9 Streaming by Student Cooperation
  226.    wt: 1:   8 The Effect of Negative Remarks
  227.    wt: 1:   7 Student Motivation
  228.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  229.    wt: 1:   5 Patience Please for Yourself and Your Charges
  230.    wt: 1:   4 Learning Takes Time and Effort
  231.    wt: 1:   3 Preparing for Science Studies
  232.    wt: 1:   2 Reading and Writing Skills
  233.    wt: 1:   1 Speaking Skills
  234.    wt: 1:   Ages 12 to 14 Skills with take home value
  235.    wt: 1:   Ages 12 to 14 Geometry
  236.    wt: 1:   Ages 12 to 14 Arithmetic
  237.    wt: 1:   Ages 10 to 12 Geometry
  238.    wt: 1:   Ages 10 to 12 Arithmetic
  239.    wt: 1:   Ages 9 to 10
  240.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  241.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  242.    wt: 1:   sign monoticity analysis example 4
  243.    wt: 1:   sign monoticity analysis example 3
  244.    wt: 1:   sign monoticity analysis example 2
  245.    wt: 1:   sign monoticity analysis example 1
  246.    wt: 1:   26 Function definitions done and coming
  247.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  248.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  249.    wt: 1:   23 Inverse Functions
  250.    wt: 1:   22 Square Root function graphically
  251.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  252.    wt: 1:   20 Interchanging coordinates a reflection
  253.    wt: 1:   19 Horizontal line rule and method
  254.    wt: 1:   18 Vertical Line Rule and Method
  255.    wt: 1:   17 Function maxima minima and their location
  256.    wt: 1:   16 Increasing or decreasing on intervals
  257.    wt: 1:   15 Sign analysis of functions
  258.    wt: 1:   14 Surjections Injections Bijections
  259.    wt: 1:   13 From one to one to many to one
  260.    wt: 1:   12 Function Domain Recognition Exercises
  261.    wt: 1:   11 Function Domain Range Source and Targets
  262.    wt: 1:   10 Interval Notation
  263.    wt: 1:   9 Set theory term relation possible origins
  264.    wt: 1:   8 Set view of relations and functions
  265.    wt: 1:   7 Functions with finite domains
  266.    wt: 1:   6 Set Existence Formation and Notation
  267.    wt: 1:   5 Function notation for geometric transformations
  268.    wt: 1:   3 Formula or function graphing exercise
  269.    wt: 1:   2 Algebraic use of function notation
  270.    wt: 1:   1 Geometric Introduction of Function Notation
  271.    wt: 1:   Introduction Reading Guide
  272.    wt: 1:   10 quadratic exercises
  273.    wt: 1:   9 quadratics physical and further context
  274.    wt: 1:   8 quadratics backward use of various formulas
  275.    wt: 1:   6 quadratics numerical approach
  276.    wt: 1:   4 quadratics difference of two squares
  277.    wt: 1:   1 quadratics graphing exercises
  278.    wt: 1:   Quadratics in 10 steps
  279.    wt: 1:   11 Growth and Decay in Biology
  280.    wt: 1:   5 Natural Logarithm Calculator Exercises
  281.    wt: 1:   1 Calculator Starter Exercises
  282.    wt: 1:   8 Notes for instructors or tutors
  283.    wt: 1:   7 Links Lessons Elsewhere
  284.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  285.    wt: 1:   4 Polynomials Long division linear divisor
  286.    wt: 1:   3 Polynomials Multiplication Addition
  287.    wt: 1:   2 Column Multiplication Method
  288.    wt: 1:   1 Polynomials Distributive Law
  289.    wt: 1:   Rewriting algebraic substitution as function substitutions
  290.    wt: 1:   16 cotangent function Definition Graph and Inverse
  291.    wt: 1:   15 cosecant function Definition Graph and Inverse
  292.    wt: 1:   14 secant function Definition Graph and Inverse
  293.    wt: 1:   13 cosecant function Definition Graph and Inverse
  294.    wt: 1:   12 motivation for term arctan
  295.    wt: 1:   11 arctan left inverse of tangent Graph
  296.    wt: 1:   10 arctan left inverse of tangent Definition
  297.    wt: 1:   9 motivation for name arcsin
  298.    wt: 1:   8 arcsin left inverse of sine Graph
  299.    wt: 1:   7 arcsin left inverse of sine Definition
  300.    wt: 1:   6 Graph of arccos function
  301.    wt: 1:   5 Swapping Coordinates is a reflection
  302.    wt: 1:   4 possible motivation for term arccos
  303.    wt: 1:   3 Left Inverse of cosine arccos definition
  304.    wt: 1:   2 cosine function more properties
  305.    wt: 1:   1 cosine function properties
  306.    wt: 1:   9 Summary Degrees to Radians and back
  307.    wt: 1:   8 Radian Measures of Common Angles
  308.    wt: 1:   7 Radian Measures in special Triangles
  309.    wt: 1:   6 Radian Measure to Degrees
  310.    wt: 1:   5 Degrees to Radian Measure
  311.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  312.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  313.    wt: 1:   A Global Time and Navigation
  314.    wt: 1:   15 Dot and Cross Product
  315.    wt: 1:   13 Velocity Vectors in Physics
  316.    wt: 1:   11 Component Method
  317.    wt: 1:   10 Parallelogram Addition Method
  318.    wt: 1:   9 Head to Tail Coordinate View
  319.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  320.    wt: 1:   6 Vectors with Coordinates
  321.    wt: 1:   5 Head To Tail Arrow Addition
  322.    wt: 1:   4 Resultant of a Sum of Movements
  323.    wt: 1:   3 Navigation with Arrows or Vectors
  324.    wt: 1:   2 Signed Coordinates
  325.    wt: 1:   1 Unsigned Coordinates
  326.    wt: 1:   Vector and Complex Number Applet
  327.    wt: 1:   4 graphing y=Asin(x c)
  328.    wt: 1:   3 graphing y=f(x c) plus K
  329.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  330.    wt: 1:   1 graphing y=f(x a)
  331.    wt: 1:   Parallel Lines and Parallel Transversals
  332.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  333.    wt: 1:   Triangle Angles Sum To 180 Degrees
  334.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  335.    wt: 1:   Parallel Lines and Interior Angles
  336.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  337.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  338.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  339.    wt: 1:   Straight Lines ASA Intersection Study More
  340.    wt: 1:   Straight Lines ASA Intersection Study
  341.    wt: 1:   Straight Lines Instersection Solving Equations
  342.    wt: 1:   Straight Lines Intersection of
  343.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  344.    wt: 1:   C Straight Lines Slope from Coordinates
  345.    wt: 1:   B Straight Line Slope Scaling Properties More
  346.    wt: 1:   A Straight Line Slope Scaling Properties
  347.    wt: 1:   14 Straight Lines Equations General Case
  348.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  349.    wt: 1:   12 Straight Lines Graphing mx plus b
  350.    wt: 1:   11 Straight Lines Graphing y=mx
  351.    wt: 1:   10 Straight Lines through Origin Equations More
  352.    wt: 1:   9 Straight Lines through Origin Equations
  353.    wt: 1:   8 Straight Lines Equation for vertical
  354.    wt: 1:   7 Tangent Function is odd on this domain
  355.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  356.    wt: 1:   5 Tangent Function Graph
  357.    wt: 1:   4 Tangent Function Properties
  358.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  359.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  360.    wt: 1:   1 Straight Lines Slope Concept
  361.    wt: 1:   17 tangent function angle sum formulas
  362.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  363.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  364.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  365.    wt: 1:   32 seven rows of pascals triangle
  366.    wt: 1:   31 basic secant cosecant cotangent trig identities
  367.    wt: 1:   30 unit circle calculation of six trigonometric functions
  368.    wt: 1:   29 secant cosecant and cotangent for acute angles
  369.    wt: 1:   28 Expressing products of sines cosines as sums
  370.    wt: 1:   27 Logarithmic use of products of sines and cosines
  371.    wt: 1:   26 Formulas for products of sines and cosines
  372.    wt: 1:   25 tangent double angle formula Slope connection
  373.    wt: 1:   24 tangent Angle Difference Formula
  374.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  375.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  376.    wt: 1:   21 sine and cosine Half Angle Formulas
  377.    wt: 1:   20 sine and cosine Double Angle Formulas
  378.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  379.    wt: 1:   18 sum of sinusoidal waves as a single wave
  380.    wt: 1:   16 Right Triangle Complementary Angle Relations
  381.    wt: 1:   15 sine cosine Complementary Angle Relations
  382.    wt: 1:   14 cosine even and sine and tangent are odd
  383.    wt: 1:   13 Graph of tangent function many periods
  384.    wt: 1:   12 Graph of tangent function for one period
  385.    wt: 1:   11 tangent function undefined when terminal side vertical
  386.    wt: 1:   10 Graphs of sines and cosines many periods
  387.    wt: 1:   9 Graphs of sine and cosine over one period
  388.    wt: 1:   8 period of tangent function
  389.    wt: 1:   7 period of sine and cosine
  390.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  391.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  392.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  393.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  394.    wt: 1:   2 Quadrant I reference Angles
  395.    wt: 1:   1 Unit Points Reflections Rotations
  396.    wt: 1:   Unit Circle Development of Trigonometry
  397.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  398.    wt: 1:   19 N th Roots of Unity
  399.    wt: 1:   18 Sixth Roots of Unity
  400.    wt: 1:   17 Cube Roots of unity
  401.    wt: 1:   16 References and Originality Question
  402.    wt: 1:   8 Unit Circle Development of Trigonometry
  403.    wt: 1:   6 Field Properties of Complex Number
  404.    wt: 1:   4 Multiplication Properties
  405.    wt: 1:   3 Addition Properties
  406.    wt: 1:   1 Rectangular Polar Coordinates Review
  407.    wt: 1:   Appetizer A Complex Number Applet
  408.    wt: 1:   8 Triangles Cascade Problem Solving
  409.    wt: 1:   7 Trignometric Ratios Unit Circle
  410.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  411.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  412.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  413.    wt: 1:   3 Trigonometric Ratios sine and cosine
  414.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  415.    wt: 1:   1 Angle Measurement with Degrees
  416.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  417.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  418.    wt: 1:   12 Triangles Similarity More Problems
  419.    wt: 1:   11 Triangle Similarity Missing Side Problem
  420.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  421.    wt: 1:   9 Similarity of Triangles Usual Criteria
  422.    wt: 1:   8 Similarity of Triangles and Polygons
  423.    wt: 1:   7 Translations Rotations Reflections Dilatations
  424.    wt: 1:   6 Geometric Diagrams in Class
  425.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  426.    wt: 1:   4 Similarity Definition with Coordinate
  427.    wt: 1:   3 Similarity by Design with coordinates
  428.    wt: 1:   2 Similarity By Design
  429.    wt: 1:   1 Early Concept of Like or Similar Shapes
  430.    wt: 1:   Four Simple Exercises
  431.    wt: 1:   12 Links Lessons elsewhere
  432.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  433.    wt: 1:   8 Mid Point Formula
  434.    wt: 1:   7 Exercises to test skill and concept mastery
  435.    wt: 1:   6 Intersection of lines by solving linear systems
  436.    wt: 1:   5 Algebraic View of Slopes
  437.    wt: 1:   2 point slope equation for a line
  438.    wt: 1:   1 Numerical view of lines and their equations
  439.    wt: 1:   What is and is not here
  440.    wt: 1:   13 Pythagorean spatial distance formulas
  441.    wt: 1:   12 Spatial Coordinates
  442.    wt: 1:   11 Triangle Inequality
  443.    wt: 1:   10 Pythagorean plane distance formula
  444.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  445.    wt: 1:   7 Complex Numbers Appetizer
  446.    wt: 1:   6 Polar Multiplication and Rotation
  447.    wt: 1:   5 Cartesian Addition and Translation
  448.    wt: 1:   4 Polar Coordinates to and from
  449.    wt: 1:   3 Rectangular Coordinates Review
  450.    wt: 1:   2 Cartesian Coordinates with signs
  451.    wt: 1:   1 Cartesian Coordinates sans signs
  452.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  453.    wt: 1:   PS H Distributive Law For Complex Numbers
  454.    wt: 1:   PS G Rotation Distributes over Addition
  455.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  456.    wt: 1:   PS E Multiplication with Polar Coordinates
  457.    wt: 1:   PS D Addition with Cartesian Coordinates
  458.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  459.    wt: 1:   PS B Parallelogram Construction Methods
  460.    wt: 1:   PS A Kite Construction Methods
  461.    wt: 1:   21 Parallelograms
  462.    wt: 1:   19 Right Triangle Similarity
  463.    wt: 1:   18 Triangle Similarity Take 1
  464.    wt: 1:   17 Right Bisectors of Triangle Sides
  465.    wt: 1:   16 Angles Subtended By Chords and Diameters
  466.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  467.    wt: 1:   14 Parallel Lines Postulate
  468.    wt: 1:   13 Angle Side Angle Failure
  469.    wt: 1:   12 Side Angle Side Failure
  470.    wt: 1:   11 Triangle Construction Fails
  471.    wt: 1:   10 Dropping a perpendicular to line
  472.    wt: 1:   9 Construction of a right bisector
  473.    wt: 1:   8 Isoceles Triangles
  474.    wt: 1:   7 Angle Side Angle
  475.    wt: 1:   6 Ruler and compass Angle Bisection
  476.    wt: 1:   5 Side Angle Side
  477.    wt: 1:   4 Side Side Side
  478.    wt: 1:   3 Isometry of Triangles Congruence
  479.    wt: 1:   2 Correspondence between Triangles
  480.    wt: 1:   1 Initial Concepts and Terms
  481.    wt: 1:   Short Course on Euclidean Geometry
  482.    wt: 1:   A Measurement with Ruler Proper Use
  483.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  484.    wt: 1:   6 Figuring with Maps Not to Scale
  485.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  486.    wt: 1:   4 Angles on Maps Plans drawn to scale
  487.    wt: 1:   3 Lengths and Areas on Maps and Plans
  488.    wt: 1:   2 Measuring Area Directly
  489.    wt: 1:   1 Length Measurement
  490.    wt: 1:   About Folder Contents
  491.    wt: 1:   musings do not puiblish real numbers
  492.    wt: 1:   A Modular and Remainder Arithmetic
  493.    wt: 1:   A Signed Number Arithmetic Review
  494.    wt: 1:   26 More Less Greater Than Comparison
  495.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  496.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  497.    wt: 1:   23 Distributive Law Two Derivations
  498.    wt: 1:   22 Multiplication of Signed Numbers
  499.    wt: 1:   21 Addition of Multiples of a Single Vector
  500.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  501.    wt: 1:   19 Signed Multiples of Vectors
  502.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  503.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  504.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  505.    wt: 1:   15 Head to Tails in place Addition Associative
  506.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  507.    wt: 1:   13 Arrows and Vectors in a Plane
  508.    wt: 1:   12 Real Numbers Line Signed Coordinates
  509.    wt: 1:   11 Signed Number Addition and Addition Properties
  510.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  511.    wt: 1:   9 Division with Digits after Decimal Point
  512.    wt: 1:   8 Division and Mulplication of Compound Fractions
  513.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  514.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  515.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  516.    wt: 1:   4 Location of Point in Decimal Addition
  517.    wt: 1:   3 Location of Point in Decimal Multiplication
  518.    wt: 1:   2 Counting Digits in Decimal Multiplication
  519.    wt: 1:   1 Fractions with Finite Decimal Expansions
  520.    wt: 1:   E Long Division Methods more
  521.    wt: 1:   D Long Division Methods
  522.    wt: 1:   C Three Decimal Subtraction Methods
  523.    wt: 1:   B Decimal Comparison and Subtraction
  524.    wt: 1:   A Decimal Addition Columm Methods
  525.    wt: 1:   8 Column Multiplication Methods in General
  526.    wt: 1:   7 Decimals Multiplication Methods Examples
  527.    wt: 1:   6 Column Methods for Decimal Multiplication
  528.    wt: 1:   5 Distributive Law for Whole Numbers
  529.    wt: 1:   4 Commutative Law Groups Counting Form
  530.    wt: 1:   3 Multiplicative Counting Skills Principles
  531.    wt: 1:   2 Combing Counts Addition Skills and Principles
  532.    wt: 1:   1 The Counting Origins of Numbers
  533.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  534.    wt: 1:   5 Proportionality in Equivalent Fractions
  535.    wt: 1:   4 Rates Ratios and Proporitionality
  536.    wt: 1:   3 Proportionality Examples
  537.    wt: 1:   2 Algebraic View
  538.    wt: 1:   1 What is Proportionality
  539.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  540.    wt: 1:   6 Compound Interest Forward and Backwards
  541.    wt: 1:   3 Linear Equation Literal Solution More
  542.    wt: 1:   2 Linear Equation Literal Solution
  543.    wt: 1:   6 Equations and Systems Equivalent or Implied
  544.    wt: 1:   5 Greater More Less Than Signs in General
  545.    wt: 1:   4 Comparison of Negative Numbers
  546.    wt: 1:   3 More and Less Than with Unlike Signs
  547.    wt: 1:   2 More and Less Than for Counts and Measures
  548.    wt: 1:   12 Real Number Additive Inverses or Negatives
  549.    wt: 1:   10 Real Number Lengths and Signs
  550.    wt: 1:   9 Coordinates for Regions in Space
  551.    wt: 1:   5 Independent versus Dependent Variables
  552.    wt: 1:   More Exercises
  553.    wt: 1:   Simple Exercises
  554.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  555.    wt: 1:   4 GE III Animated Examples
  556.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  557.    wt: 1:   3 GE III Equation Addition and Multiplication
  558.    wt: 1:   2 GE II Comparison
  559.    wt: 1:   1 GE Substitution four examples
  560.    wt: 1:   4 Solving a triangular system exercise
  561.    wt: 1:   3 Solving triangular system example
  562.    wt: 1:   2 Essentially one exercises three with solution
  563.    wt: 1:   1 Essentially One Unknown
  564.    wt: 1:   6 Algebraic Solution Example
  565.    wt: 1:   5 Algebraic Solutions Introduction
  566.    wt: 1:   4 Four Examples Fractional Coefficients
  567.    wt: 1:   3 Four Examples
  568.    wt: 1:   2 Three Examples
  569.    wt: 1:   Skill Development Notes
  570.    wt: 1:   10 One Example
  571.    wt: 1:   9 Three Examples
  572.    wt: 1:   8 One Example
  573.    wt: 1:   7 Two Examples
  574.    wt: 1:   6 Three Examples
  575.    wt: 1:   5 Three Examples
  576.    wt: 1:   4 Two Examples
  577.    wt: 1:   3 Two Examples
  578.    wt: 1:   2 Three Examples
  579.    wt: 1:   Using Letters for Physical Quantities
  580.    wt: 1:   13 Naming Identifying Formulas with Words
  581.    wt: 1:   11 Volume of Sphere
  582.    wt: 1:   10 Volume of Pyramid
  583.    wt: 1:   9 Volume of Cone
  584.    wt: 1:   8 Compound Interest Formula Evaluation
  585.    wt: 1:   7 Compound Interest Formula Introduction
  586.    wt: 1:   9 Sets in Probability and Statistics
  587.    wt: 1:   7 Cautious or Safe Set Construction
  588.    wt: 1:   2 Venn Diagrams
  589.    wt: 1:   6 Three Notions of What is a Variable
  590.    wt: 1:   4 A Brief Story of numbers and algebra
  591.    wt: 1:   3 Adding Words To Arithmetic
  592.    wt: 1:   2 What is a Variable
  593.    wt: 1:   About Folder Contents
  594.    wt: 1:   arithmetic videos Real Player Format
  595.    wt: 1:   4 Greater More Less Than Signs in General
  596.    wt: 1:   3 Comparison of Negative Numbers
  597.    wt: 1:   2 More and Less Than with Unlike Signs
  598.    wt: 1:   1 More and Less Than for Counts and Measures
  599.    wt: 1:   7 negative and additive inverse
  600.    wt: 1:   6 adding signed numbers
  601.    wt: 1:   5 lengths and signs of numbers
  602.    wt: 1:   4 signed coordinates for regions in space
  603.    wt: 1:   7 Converting or Changing Units
  604.    wt: 1:   6 Simplification of Fractions with Units
  605.    wt: 1:   4 Fractions with Units
  606.    wt: 1:   3 Multiplying Units and Numbers
  607.    wt: 1:   2 Equality and Units
  608.    wt: 1:   1 Addition and Subtraction with Units
  609.    wt: 1:   D Three Term Ratios
  610.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  611.    wt: 1:   B Fractions and Two Term Ratios
  612.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  613.    wt: 1:   21 Working With Signs
  614.    wt: 1:   21 Reciprocals for Fractions and Wholes
  615.    wt: 1:   20 Dividing Fractions the Why
  616.    wt: 1:   19 Dividing Fractions How TO
  617.    wt: 1:   18 Efficient Ways to Multiply
  618.    wt: 1:   17 Efficient Ways to Add and Subtract
  619.    wt: 1:   16 Addition Subtraction Comparision Compared
  620.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  621.    wt: 1:   14 Adding and Subtracting with Like Denominators
  622.    wt: 1:   13 Fraction Comparison Algebraic View
  623.    wt: 1:   12 Fraction Comparison
  624.    wt: 1:   11 Simplification an Algebraic View
  625.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  626.    wt: 1:   9 Improper Fractions and Mixed Numbers
  627.    wt: 1:   8 Numerals Fractionals Quantals Take II
  628.    wt: 1:   7 Numerals Fractionals Quantals
  629.    wt: 1:   6 Multiplication Algebraically Take II
  630.    wt: 1:   5 Equivalent Fractions
  631.    wt: 1:   4 Fraction Multiplication
  632.    wt: 1:   3 Unit fraction of a fraction
  633.    wt: 1:   2 Unit Fraction Multiplication
  634.    wt: 1:   1 What is a fraction Take II
  635.    wt: 1:   1 What is a fraction
  636.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  637.    wt: 1:   B Integer Long Division Multiple Choices
  638.    wt: 1:   A Associative Law Theorectical Note
  639.    wt: 1:   12 Adding Integers More Examples
  640.    wt: 1:   11 Adding Integers Formulas and Examples
  641.    wt: 1:   9 Multiplying Integers
  642.    wt: 1:   8 Multiplication by Signed Numbers Integers
  643.    wt: 1:   7 Multiplication by Signs
  644.    wt: 1:   6 Multiplication by Natural Numbers
  645.    wt: 1:   5 Zero Movement and Additive Inverses
  646.    wt: 1:   4 Adding Movements wiht opposite directions
  647.    wt: 1:   3 Adding Movements with same direction
  648.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  649.    wt: 1:   1 Integers as Coordinates
  650.    wt: 1:   20 Uniqueness of Prime Factorization
  651.    wt: 1:   17 Identify and Count Factors using Primes
  652.    wt: 1:   12 LCD GCD and LCM using Primes
  653.    wt: 1:   11 Efficient Square Rule Use
  654.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  655.    wt: 1:   2 Prime and Composites less than 16
  656.    wt: 1:   12 Why Long Division Works Take III
  657.    wt: 1:   11 Another Single Digit Divisor Example
  658.    wt: 1:   10 Division by Five Long and Short Ways
  659.    wt: 1:   9 Why Long Division Works Take II
  660.    wt: 1:   8 Correcting the Mistake
  661.    wt: 1:   7 Long Divison Mistake Catching
  662.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  663.    wt: 1:   5 Long Division Include Zeroes or not
  664.    wt: 1:   4 Division with 2 Digit Divsors
  665.    wt: 1:   3 Division Single Digit Divisor Example
  666.    wt: 1:   2 Division with Single Digit Divisors
  667.    wt: 1:   1 Divsion Physical Examples
  668.    wt: 1:   D Decimal Multiplication Methods Derived
  669.    wt: 1:   C Counting Areas with Powers of Ten
  670.    wt: 1:   B Powers of Ten
  671.    wt: 1:   A Elementary Basis for Multiplication Methods
  672.    wt: 1:   6 Multiplication Commutes Order Not Important
  673.    wt: 1:   4 Two and Three Digit Multipliers
  674.    wt: 1:   3 More One Digit Multipliers
  675.    wt: 1:   2 One Digit Multipliers
  676.    wt: 1:   1 Why 3 times 5 gives 15
  677.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  678.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  679.    wt: 1:   9 22 Minute Subtraction Review Video
  680.    wt: 1:   8 Subtraction with Units of Measure
  681.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  682.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  683.    wt: 1:   5 A Tip for Efficent Subtraction
  684.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  685.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  686.    wt: 1:   2 Subtraction Easy Case Examples
  687.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  688.    wt: 1:   8 What skills and work habits to require
  689.    wt: 1:   7 Adding decimal fractions using decimal point
  690.    wt: 1:   6. Counting and adding units and mixed units
  691.    wt: 1:   5. How to add decimals C. Examples
  692.    wt: 1:   4. How to add with decimals B with conversions
  693.    wt: 1:   3. How to add with decimals A sans conversions
  694.    wt: 1:   2 Decimal Counting Practices
  695.    wt: 1:   1. Explaining Addition Table
  696.    wt: 1:   11 Place Value SI Standard International way
  697.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  698.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  699.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  700.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  701.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  702.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  703.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  704.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  705.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  706.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  707.    wt: 1:   Quick history of numbers and algebra
  708.    wt: 1:   Exact Arithmetic Wholes and Fractions
  709.    wt: 1:   The 20 Times Table
  710.    wt: 1:   The 12 Times Table Visually
  711.    wt: 1:   About folder contents
  712.    wt: 1:   016 Numbering Occidental Calendar Days
  713.    wt: 1:   015 School and work day counting tables
  714.    wt: 1:   014 Counting Days with Calendars
  715.    wt: 1:   013 Travel Time Tables
  716.    wt: 1:   012 Division of Time Intervals by Time Intervals
  717.    wt: 1:   011 Division of Time Intervals By Numbers
  718.    wt: 1:   010 Repeated Addition of Time Intervals
  719.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  720.    wt: 1:   8 Addition of Time Intervals via subtotaling
  721.    wt: 1:   7 Addition of Time Intervals
  722.    wt: 1:   5 Conversion Arithmetic
  723.    wt: 1:   4 Mixing and Changing Units of Time
  724.    wt: 1:   3 Units and Lengths of Time
  725.    wt: 1:   2 Time and Date Matters in School
  726.    wt: 1:   1 Intro of Kids To Time Date Skills
  727.    wt: 1:   A Related Material in Volume 3
  728.    wt: 1:   5 Area Under Curve Exercise
  729.    wt: 1:   A Related lessons in Volume 3
  730.    wt: 1:   3 Second derivative test
  731.    wt: 1:   2 Second derivative test prequel
  732.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  733.    wt: 1:   A Chain Rule Real Player video examples
  734.    wt: 1:   36 Cube root derivative animated
  735.    wt: 1:   33 Chain Rule Real Player video examples
  736.    wt: 1:   30Chain Rule A Proof
  737.    wt: 1:   29 Chain Rule Optional Reading
  738.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  739.    wt: 1:   25 Chain Rule Animated Examples Continued
  740.    wt: 1:   24 Chain Rule Animated Examples
  741.    wt: 1:   20 Chain Rule for Pulley Systems
  742.    wt: 1:   18 Chain Rule Introduction
  743.    wt: 1:   17 Derivatives of quotients of sine and cosine
  744.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  745.    wt: 1:   12 Quotient rule examples
  746.    wt: 1:   11 Quotient rule
  747.    wt: 1:   10 Power rule for negative integers
  748.    wt: 1:   9 Reciprocal rule
  749.    wt: 1:   7 Animated Differentiation Examples
  750.    wt: 1:   6 Power rule from product rule
  751.    wt: 1:   5 Product Rule
  752.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  753.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  754.    wt: 1:   11 Limits at infinity Three Examples
  755.    wt: 1:   10 Three one sided limits with infinite values
  756.    wt: 1:   9 Limits Continuity and Composition
  757.    wt: 1:   8 Four Animated Examples
  758.    wt: 1:   7 Evaluation by immediate or delayed substitution
  759.    wt: 1:   3 Decimal insights for limits continuity convergence
  760.    wt: 1:   2 Algebraic codification
  761.    wt: 1:   1 Numerical introduction
  762.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  763.    wt: 1:   PostScript For and Against Decimal Perspectives
  764.    wt: 1:   A1. Introduction
  765.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  766.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  767.    wt: 1:   Chapter 23 Links To Trigonometry
  768.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  769.    wt: 1:   Chapter 13. Acceleration
  770.    wt: 1:   Chapter 12. Units and Slopes
  771.    wt: 1:   Chapter 11. Graphing Slope versus Position
  772.    wt: 1:   Chapter 10 Slopes and Units
  773.    wt: 1:   Chapter 9 About First Courses in Calculus
  774.    wt: 1:   Chapter 8. Slope Interpretation
  775.    wt: 1:   Chapter 7 Slopes and Velocity
  776.    wt: 1:   Chapter 5. Slope Sign Tests
  777.    wt: 1:   Chapter 3. Slope Sign Analysis
  778.    wt: 1:   Chapter 1.Introduction
  779.    wt: 1:   Fall 1983 Calculus Appetizer
  780.    wt: 1:   Foreword
  781.    wt: 1:   Postscript More on Better Performance
  782.    wt: 1:   Postscript For Better Performance
  783.    wt: 1:   Appendix D. What to do in School and Why
  784.    wt: 1:   Appendix C. How to Read
  785.    wt: 1:   Appendix B. How To Learn
  786.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  787.    wt: 1:   Chapter 31 Direct and Indirect Reason
  788.    wt: 1:   Chapter 30 Truth Tables
  789.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  790.    wt: 1:   Chapter 28 Occurrence Tables
  791.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  792.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  793.    wt: 1:   Chapter 21. Third Reading Guide
  794.    wt: 1:   Chapter 19. Functions and Sets
  795.    wt: 1:   Chapter 18. Rules for Algebra
  796.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  797.    wt: 1:   Chapter 16. Painless Theorem Proving
  798.    wt: 1:   Chapter 15. Solving Linear Equations
  799.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  800.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  801.    wt: 1:   Chapter 13. Second Reading Guide
  802.    wt: 1:   Chapter 12. Shorthand Usage Guide
  803.    wt: 1:   Chapter 11. Why Shorthand
  804.    wt: 1:   Chapter 10 Describing and Changing Calculations
  805.    wt: 1:   Postscript What is a Variable
  806.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  807.    wt: 1:   Solutions For Arithmetic Exercises
  808.    wt: 1:   Chapter 6 Change of Language
  809.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  810.    wt: 1:   Chapter 4 Longer Chains of Reason
  811.    wt: 1:   Chapter 3 Chains of Reason
  812.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  813.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  814.    wt: 1:   Foreword
  815.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  816.    wt: 1:   Postscript C Consistency as a Tool for Reason
  817.    wt: 1:   Postscript B More on Story Telling and Reason
  818.    wt: 1:   Postscript A Story Telling
  819.    wt: 1:   Chapter 24 Direct and Indirect Reason
  820.    wt: 1:   Chapter 23 Truth Tables
  821.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  822.    wt: 1:   Chapter 21 Occurrence Tables
  823.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  824.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  825.    wt: 1:   Chapter 18 Sense and Knowledge
  826.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  827.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  828.    wt: 1:   Chapter 15 Objective Processes
  829.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  830.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  831.    wt: 1:   Chapter 11 Accidental Patterns
  832.    wt: 1:   Chapter 10 Responsibility
  833.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  834.    wt: 1:   Chapter 8 Change of Language
  835.    wt: 1:   Chapter 7 Longer Chains of Reason
  836.    wt: 1:   Chapter 6 Chains of Reason
  837.    wt: 1:   Chapter 5 Deception
  838.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  839.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  840.    wt: 1:   Chapter 2 Skill Development
  841.    wt: 1:   Chapter 1 Introduction
  842.    wt: 1:   Three Remarks
  843.    wt: 1:   Foreword
  844.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  845.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  846.    wt: 1:   S Adding words to algebra
  847.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  848.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  849.    wt: 1:   M Words to extend arithmetic
  850.    wt: 1:   L Skills with take home value
  851.    wt: 1:   J. More on written work and showing skill
  852.    wt: 1:   I. Logic and language skills
  853.    wt: 1:   H more Routine to non routine problem solving
  854.    wt: 1:   H Jigsaw puzzles and problem solving
  855.    wt: 1:   F. The student teacher tutor feedback loop
  856.    wt: 1:   E. When and how to correct errors
  857.    wt: 1:   D. Check work a must with a caution
  858.    wt: 1:   C. Domino effect of being careful
  859.    wt: 1:   B. Domino effect of errors
  860.    wt: 1:   A. Skill has to be seen to believed
  861.    wt: 1:   How to Build Skills and Confidence
  862.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  863.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  864.    wt: 1:   Chapter 1 Arithmetic
  865.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  866.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  867.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  868.    wt: 1:   More Algebra and Slope based Calculus Preview
  869.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  870.    wt: 1:   Systematic Algebra Skill Development Missing Links
  871.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  872.    wt: 1:   Road Safety Questions
  873.    wt: 1:   The Math Forum and Site Content
  874.    wt: 1:   Site Reviews

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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.