Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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.

Location: Site Entrance << Search

[1] [2] [3]

Key Word Search

Folder Search

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

Extended Search

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

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]

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.