Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   Mathematics Education Essays/
  4.    wt: 2:   B Real Numbers Extrinsic Development/
  5.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 2:   8 Arithmetic with Signed Numbers/
  7.    wt: 1:   Archives/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   7 Complex Numbers/
  10.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  11.    wt: 1:   5 Real Numbers/
  12.    wt: 1:   11 Squares and Square Roots/
  13.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  14.    wt: 1:   9 Combinatorics Trees Tables and Products/
  15.    wt: 1:   7 Arithmetic and Fractions with Units/
  16.    wt: 1:   6 Fractions and Ratios/
  17.    wt: 1:   5 Integers/
  18.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  19.    wt: 1:   3 Prime Factorization Skills/
  20.    wt: 1:   D Decimal Long Division Methods/
  21.    wt: 1:   C Decimal Multiplication Methods/
  22.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  23.    wt: 1:   A Decimal Counting and Adding Methods/
  24.    wt: 1:   2 Arithmetic with Decimals/
  25.    wt: 1:   1 Decimal Place Value/
  26.    wt: 1:   Arithmetic and Number Theory Skills/
  27.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  28.    wt: 1:   Mathematics 506 Lessons/
  29.    wt: 1:   Secondary Mathematics A Practical Approach/
  30.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

97 matches:

  1.    wt: 3:   Ramblings Extrinsic numbers theory
  2.    wt: 2:   Applied Maths Program14092009 POMME variant
  3.    wt: 2:   Leaner mathematics curriculum
  4.    wt: 2:   12 From Applied To Pure Mathematics
  5.    wt: 1:   J LAMP Introduction Extrinsic Origins
  6.    wt: 1:   E LAMP Introduction Modern Mathematics
  7.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  8.    wt: 1:   11 pure mathematics
  9.    wt: 1:   3 Euclidean Geometry Leanly
  10.    wt: 1:   2 arithmetic with signed numbers
  11.    wt: 1:   1 arithmetic with unsigned numbers
  12.    wt: 1:   Math Ed if it must be short make it lean effective
  13.    wt: 1:   Mathematics Education Professors
  14.    wt: 1:   mathematics in context
  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:   three goals for Mathematics Education
  20.    wt: 1:   04 29 New Mathematics Curriculum
  21.    wt: 1:   02 20 mathematics education references
  22.    wt: 1:   three aims for mathematics students
  23.    wt: 1:   Theory of Knowledge
  24.    wt: 1:   mathematics instruction in general
  25.    wt: 1:   Education in mathematics science and technology
  26.    wt: 1:   three kinds of reason in mathematics
  27.    wt: 1:   need for a mixed mathematics curriculum
  28.    wt: 1:   words for mathematics instructor
  29.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  30.    wt: 1:   22 Student Centered Highschool Mathematics
  31.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  32.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  33.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  34.    wt: 1:   18 Primary School Mathematics
  35.    wt: 1:   16 Secondary Mathematics Tips
  36.    wt: 1:   12 Goals and Objectives For Mathematics
  37.    wt: 1:   9 Set theory term relation possible origins
  38.    wt: 1:   4 Function notation in and beyond mathematics
  39.    wt: 1:   20 N th Roots of Complex Numbers
  40.    wt: 1:   2 Complex Numbers made easier we hope
  41.    wt: 1:   7 Complex Numbers Appetizer
  42.    wt: 1:   PS H Distributive Law For Complex Numbers
  43.    wt: 1:   musings do not puiblish real numbers
  44.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  45.    wt: 1:   22 Multiplication of Signed Numbers
  46.    wt: 1:   12 Real Numbers Line Signed Coordinates
  47.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  48.    wt: 1:   5 Distributive Law for Whole Numbers
  49.    wt: 1:   1 The Counting Origins of Numbers
  50.    wt: 1:   4 Comparison of Negative Numbers
  51.    wt: 1:   1 Real Numbers Comparison
  52.    wt: 1:   16 Real Numbers Comparison
  53.    wt: 1:   7 Real Numbers as Line Cordinates
  54.    wt: 1:   6 Unsigned Real Numbers
  55.    wt: 1:   5 Rational Numbers More
  56.    wt: 1:   4 Rational Numbers
  57.    wt: 1:   1 Whole and Natural Numbers
  58.    wt: 1:   8 Sets of Numbers
  59.    wt: 1:   5 Talking about Numbers and Quantities
  60.    wt: 1:   4 A Brief Story of numbers and algebra
  61.    wt: 1:   3 Comparison of Negative Numbers
  62.    wt: 1:   11 What are real lengths and numbers
  63.    wt: 1:   10 dividing signed numbers
  64.    wt: 1:   9 subtracting signed numbers
  65.    wt: 1:   8 multiplying signed numbers
  66.    wt: 1:   6 adding signed numbers
  67.    wt: 1:   5 lengths and signs of numbers
  68.    wt: 1:   2 signed and unsigned numbers as coordinates
  69.    wt: 1:   3 Multiplying Units and Numbers
  70.    wt: 1:   9 Improper Fractions and Mixed Numbers
  71.    wt: 1:   6 Multiplication of Mixed Numbers
  72.    wt: 1:   8 Multiplication by Signed Numbers Integers
  73.    wt: 1:   6 Multiplication by Natural Numbers
  74.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  75.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  76.    wt: 1:   Quick history of numbers and algebra
  77.    wt: 1:   011 Division of Time Intervals By Numbers
  78.    wt: 1:   Chapter 22 Complex Numbers
  79.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  80.    wt: 1:   Appendix E. How To Study Mathematics and Why
  81.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  82.    wt: 1:   Postscript B Mathematics Education References
  83.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  84.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  85.    wt: 1:   Chapter 2 For and Against Mathematics
  86.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  87.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  88.    wt: 1:   R Why Learn Mathematics Skills
  89.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  90.    wt: 1:   O On Learning Mathematics and Science
  91.    wt: 1:   N Mathematics Prepare for College Studies
  92.    wt: 1:   Helping the Blind in Logic and Mathematics
  93.    wt: 1:   Mathematics Education References
  94.    wt: 1:   Mathematics Education References
  95.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  96.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  97.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

501 matches:

  1.    wt: 9:   Ramblings Extrinsic numbers theory
  2.    wt: 7:   J LAMP Introduction Extrinsic Origins
  3.    wt: 7:   E LAMP Introduction Modern Mathematics
  4.    wt: 7:   C LAMP Introduction Culture in Mathematics Education
  5.    wt: 6:   Appendix 2 primary school Arithmetic 01
  6.    wt: 6:   Appendix 1 primary and preschool mathematic
  7.    wt: 6:   K LAMP Musings Science Education
  8.    wt: 6:   I LAMP Introduction Study Habits
  9.    wt: 6:   H LAMP Introduction Instructional Concepts
  10.    wt: 6:   G LAMP Introduction Problem Solving Skills
  11.    wt: 6:   F LAMP Introduction Prerequisites
  12.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  13.    wt: 6:   A Introduction Objectives
  14.    wt: 6:   Skills Chapter 5 Calculus
  15.    wt: 6:   Skills Chapter 4 Logic
  16.    wt: 6:   Ramblings Introduction Algebra Essay
  17.    wt: 6:   Skills Chapter 3 Algebra
  18.    wt: 6:   Skills Chapter 2 Geometry
  19.    wt: 6:   Skills Chapter 1 Arithmetic
  20.    wt: 6:   Skills Chapter 0 Introduction
  21.    wt: 4:   Applied Maths Program14092009 POMME variant
  22.    wt: 4:   Leaner mathematics curriculum
  23.    wt: 3:   11 pure mathematics
  24.    wt: 3:   3 Euclidean Geometry Leanly
  25.    wt: 3:   2 arithmetic with signed numbers
  26.    wt: 3:   1 arithmetic with unsigned numbers
  27.    wt: 3:   Math Ed if it must be short make it lean effective
  28.    wt: 3:   Mathematics Education Professors
  29.    wt: 3:   mathematics in context
  30.    wt: 3:   Secondary Three Mathematics
  31.    wt: 3:   Secondary Two Mathematics
  32.    wt: 3:   Secondary One Mathematics
  33.    wt: 3:   mathematics curriculum shifts
  34.    wt: 3:   three goals for Mathematics Education
  35.    wt: 3:   04 29 New Mathematics Curriculum
  36.    wt: 3:   02 20 mathematics education references
  37.    wt: 3:   three aims for mathematics students
  38.    wt: 3:   Theory of Knowledge
  39.    wt: 3:   mathematics instruction in general
  40.    wt: 3:   Education in mathematics science and technology
  41.    wt: 3:   three kinds of reason in mathematics
  42.    wt: 3:   need for a mixed mathematics curriculum
  43.    wt: 3:   words for mathematics instructor
  44.    wt: 3:   musings do not puiblish real numbers
  45.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  46.    wt: 3:   22 Multiplication of Signed Numbers
  47.    wt: 3:   12 Real Numbers Line Signed Coordinates
  48.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  49.    wt: 3:   3 Comparison of Negative Numbers
  50.    wt: 3:   11 What are real lengths and numbers
  51.    wt: 3:   10 dividing signed numbers
  52.    wt: 3:   9 subtracting signed numbers
  53.    wt: 3:   8 multiplying signed numbers
  54.    wt: 3:   6 adding signed numbers
  55.    wt: 3:   5 lengths and signs of numbers
  56.    wt: 3:   2 signed and unsigned numbers as coordinates
  57.    wt: 2:   10 statistics
  58.    wt: 2:   9 combinatorics probability sets
  59.    wt: 2:   8 analytic geometry etc
  60.    wt: 2:   7 logic review and decimals an odd combination
  61.    wt: 2:   6 polynomials etc
  62.    wt: 2:   5 logarithms and exponentials etc
  63.    wt: 2:   4 algebra
  64.    wt: 2:   What is POMME
  65.    wt: 2:   why bother
  66.    wt: 2:   which way to go
  67.    wt: 2:   website reviews
  68.    wt: 2:   three goals to set for students
  69.    wt: 2:   Teach the teachers plus goals
  70.    wt: 2:   permissions for teachers
  71.    wt: 2:   activities for students
  72.    wt: 2:   links Education Resources online
  73.    wt: 2:   site origins
  74.    wt: 2:   site eurekas
  75.    wt: 2:   About site lesson plans
  76.    wt: 2:   key notes and themes
  77.    wt: 2:   teacher certification
  78.    wt: 2:   modern education
  79.    wt: 2:   learning takes time
  80.    wt: 2:   grouping students according to ability
  81.    wt: 2:   what should be learnt and When
  82.    wt: 2:   Postscript 2007 01 10
  83.    wt: 2:   Education Reform Inconsistencies
  84.    wt: 2:   five decades make a difference
  85.    wt: 2:   Maps Plans Drawings
  86.    wt: 2:   how letters appear
  87.    wt: 2:   talk the algebra talk
  88.    wt: 2:   three difficulties
  89.    wt: 2:   teaching tips
  90.    wt: 2:   What to Tell Students
  91.    wt: 2:   geometric implications for algebra
  92.    wt: 2:   teaching tutoring algebraic reason
  93.    wt: 2:   Lessening Algebra Difficulties
  94.    wt: 2:   the trouble with algebra
  95.    wt: 2:   05 13 OldSiteEntrancePage
  96.    wt: 2:   04 25 when to stop or suspend mathemat
  97.    wt: 2:   02 21 words for teachers
  98.    wt: 2:   standards for course material
  99.    wt: 2:   Operational Viewpoint to Value
  100.    wt: 2:   formal or informal peer review
  101.    wt: 2:   Different Kinds of Reasoning in maths
  102.    wt: 2:   cultivating intelligence
  103.    wt: 2:   Four ways to improve education reform
  104.    wt: 2:   How to be a better instructor
  105.    wt: 2:   Motivation and Context Problem
  106.    wt: 2:   Prequel In For A Penny In For A Pound
  107.    wt: 2:   education an empirical art
  108.    wt: 2:   fairness and inductive principles for instruction
  109.    wt: 2:   12 From Applied To Pure Mathematics
  110.    wt: 2:   20 N th Roots of Complex Numbers
  111.    wt: 2:   2 Complex Numbers made easier we hope
  112.    wt: 2:   PS H Distributive Law For Complex Numbers
  113.    wt: 2:   A Modular and Remainder Arithmetic
  114.    wt: 2:   A Signed Number Arithmetic Review
  115.    wt: 2:   26 More Less Greater Than Comparison
  116.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  117.    wt: 2:   23 Distributive Law Two Derivations
  118.    wt: 2:   21 Addition of Multiples of a Single Vector
  119.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  120.    wt: 2:   19 Signed Multiples of Vectors
  121.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  122.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  123.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  124.    wt: 2:   15 Head to Tails in place Addition Associative
  125.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  126.    wt: 2:   13 Arrows and Vectors in a Plane
  127.    wt: 2:   11 Signed Number Addition and Addition Properties
  128.    wt: 2:   9 Division with Digits after Decimal Point
  129.    wt: 2:   8 Division and Mulplication of Compound Fractions
  130.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  131.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  132.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  133.    wt: 2:   4 Location of Point in Decimal Addition
  134.    wt: 2:   3 Location of Point in Decimal Multiplication
  135.    wt: 2:   2 Counting Digits in Decimal Multiplication
  136.    wt: 2:   1 Fractions with Finite Decimal Expansions
  137.    wt: 2:   16 Real Numbers Comparison
  138.    wt: 2:   7 Real Numbers as Line Cordinates
  139.    wt: 2:   6 Unsigned Real Numbers
  140.    wt: 2:   5 Rational Numbers More
  141.    wt: 2:   4 Rational Numbers
  142.    wt: 2:   1 Whole and Natural Numbers
  143.    wt: 2:   4 Greater More Less Than Signs in General
  144.    wt: 2:   2 More and Less Than with Unlike Signs
  145.    wt: 2:   1 More and Less Than for Counts and Measures
  146.    wt: 2:   7 negative and additive inverse
  147.    wt: 2:   4 signed coordinates for regions in space
  148.    wt: 2:   3 signed coordinates for maps and planes
  149.    wt: 2:   3 Multiplying Units and Numbers
  150.    wt: 2:   9 Improper Fractions and Mixed Numbers
  151.    wt: 2:   6 Multiplication of Mixed Numbers
  152.    wt: 2:   8 Multiplication by Signed Numbers Integers
  153.    wt: 2:   6 Multiplication by Natural Numbers
  154.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  155.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 2:   Quick history of numbers and algebra
  157.    wt: 2:   Postscript B Mathematics Education References
  158.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  159.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  160.    wt: 2:   Chapter 2 For and Against Mathematics
  161.    wt: 2:   Helping the Blind in Logic and Mathematics
  162.    wt: 2:   Mathematics Education References
  163.    wt: 2:   Mathematics Education References
  164.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  165.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  166.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  167.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  168.    wt: 1:   22 Student Centered Highschool Mathematics
  169.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  170.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  171.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  172.    wt: 1:   18 Primary School Mathematics
  173.    wt: 1:   16 Secondary Mathematics Tips
  174.    wt: 1:   12 Goals and Objectives For Mathematics
  175.    wt: 1:   Ages 12 to 14 Skills with take home value
  176.    wt: 1:   Ages 12 to 14 Geometry
  177.    wt: 1:   Ages 12 to 14 Arithmetic
  178.    wt: 1:   Ages 10 to 12 Geometry
  179.    wt: 1:   Ages 10 to 12 Arithmetic
  180.    wt: 1:   Ages 9 to 10
  181.    wt: 1:   Ages 8 to 9
  182.    wt: 1:   Ages 7 to 8
  183.    wt: 1:   Ages 6 to 7
  184.    wt: 1:   Ages 4 plus to 5 plus
  185.    wt: 1:   Ages 3 plus to 4 plus
  186.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  187.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  188.    wt: 1:   9 Set theory term relation possible origins
  189.    wt: 1:   4 Function notation in and beyond mathematics
  190.    wt: 1:   21 Logarithms Powers and Exponentials
  191.    wt: 1:   19 N th Roots of Unity
  192.    wt: 1:   18 Sixth Roots of Unity
  193.    wt: 1:   17 Cube Roots of unity
  194.    wt: 1:   16 References and Originality Question
  195.    wt: 1:   15 Pythagorean Theorem Converse
  196.    wt: 1:   14 Law of cosines
  197.    wt: 1:   13 Trig Formulas for dot and cross Products
  198.    wt: 1:   12 cis formulas for sine cosines and tangent
  199.    wt: 1:   11 sine and cosine double triple angle formulas
  200.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  201.    wt: 1:   9 The complex number valued trig function cis
  202.    wt: 1:   8 Unit Circle Development of Trigonometry
  203.    wt: 1:   7 Second Way to Calculate Products
  204.    wt: 1:   6 Field Properties of Complex Number
  205.    wt: 1:   5 An Easy Proof of the Distributive Law
  206.    wt: 1:   4 Multiplication Properties
  207.    wt: 1:   3 Addition Properties
  208.    wt: 1:   1 Rectangular Polar Coordinates Review
  209.    wt: 1:   Appetizer A Complex Number Applet
  210.    wt: 1:   7 Complex Numbers Appetizer
  211.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  212.    wt: 1:   PS G Rotation Distributes over Addition
  213.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  214.    wt: 1:   PS E Multiplication with Polar Coordinates
  215.    wt: 1:   PS D Addition with Cartesian Coordinates
  216.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  217.    wt: 1:   PS B Parallelogram Construction Methods
  218.    wt: 1:   PS A Kite Construction Methods
  219.    wt: 1:   21 Parallelograms
  220.    wt: 1:   19 Right Triangle Similarity
  221.    wt: 1:   18 Triangle Similarity Take 1
  222.    wt: 1:   17 Right Bisectors of Triangle Sides
  223.    wt: 1:   16 Angles Subtended By Chords and Diameters
  224.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  225.    wt: 1:   14 Parallel Lines Postulate
  226.    wt: 1:   13 Angle Side Angle Failure
  227.    wt: 1:   12 Side Angle Side Failure
  228.    wt: 1:   11 Triangle Construction Fails
  229.    wt: 1:   10 Dropping a perpendicular to line
  230.    wt: 1:   9 Construction of a right bisector
  231.    wt: 1:   8 Isoceles Triangles
  232.    wt: 1:   7 Angle Side Angle
  233.    wt: 1:   6 Ruler and compass Angle Bisection
  234.    wt: 1:   5 Side Angle Side
  235.    wt: 1:   4 Side Side Side
  236.    wt: 1:   3 Isometry of Triangles Congruence
  237.    wt: 1:   2 Correspondence between Triangles
  238.    wt: 1:   1 Initial Concepts and Terms
  239.    wt: 1:   Short Course on Euclidean Geometry
  240.    wt: 1:   5 Distributive Law for Whole Numbers
  241.    wt: 1:   1 The Counting Origins of Numbers
  242.    wt: 1:   4 Comparison of Negative Numbers
  243.    wt: 1:   1 Real Numbers Comparison
  244.    wt: 1:   15 Real Number Division
  245.    wt: 1:   14 Real Number Multiplication
  246.    wt: 1:   13 Real Number Subtraction
  247.    wt: 1:   12 Real Number Additive Inverses or Negatives
  248.    wt: 1:   11 Real Number Addition
  249.    wt: 1:   10 Real Number Lengths and Signs
  250.    wt: 1:   9 Coordinates for Regions in Space
  251.    wt: 1:   8 Coordinates for Maps and Planes
  252.    wt: 1:   3 Fractions
  253.    wt: 1:   2 Integers
  254.    wt: 1:   8 Sets of Numbers
  255.    wt: 1:   5 Talking about Numbers and Quantities
  256.    wt: 1:   4 A Brief Story of numbers and algebra
  257.    wt: 1:   arithmetic videos Real Player Format
  258.    wt: 1:   5 Square Roots with primes more still
  259.    wt: 1:   4 Square Roots with primes more
  260.    wt: 1:   3 Properties of Square Roots with example
  261.    wt: 1:   2 Square Roots with Prime
  262.    wt: 1:   1 Squares and Square Roots Introduction
  263.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  264.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  265.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  266.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  267.    wt: 1:   13 GCD from given Prime Factorization
  268.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  269.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  270.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  271.    wt: 1:   8 GCD from Euclidean Algorithm
  272.    wt: 1:   7 GCD and LCM from prime factorization
  273.    wt: 1:   6 GCD from Prime
  274.    wt: 1:   5 Common Divisors 60 45 via Prime
  275.    wt: 1:   4 LCM of 8 and 10 via Prime
  276.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  277.    wt: 1:   2 Least Common Multiple LCM intro via list method
  278.    wt: 1:   1 Least Common Multiples LCM Introduction
  279.    wt: 1:   12 GCD 2700 288 via Prime
  280.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  281.    wt: 1:   4 Counting with Trees Product Rule Take I
  282.    wt: 1:   3 Counting with Tables and Trees II
  283.    wt: 1:   2 Counting with Tables and Trees I
  284.    wt: 1:   1 Counting and Counting Methods I
  285.    wt: 1:   7 Converting or Changing Units
  286.    wt: 1:   6 Simplification of Fractions with Units
  287.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  288.    wt: 1:   4 Fractions with Units
  289.    wt: 1:   2 Equality and Units
  290.    wt: 1:   1 Addition and Subtraction with Units
  291.    wt: 1:   D Three Term Ratios
  292.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  293.    wt: 1:   B Fractions and Two Term Ratios
  294.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  295.    wt: 1:   22 Complex Compound Fractions
  296.    wt: 1:   21 Working With Signs
  297.    wt: 1:   21 Reciprocals for Fractions and Wholes
  298.    wt: 1:   20 Dividing Fractions the Why
  299.    wt: 1:   19 Dividing Fractions How TO
  300.    wt: 1:   18 Efficient Ways to Multiply
  301.    wt: 1:   17 Efficient Ways to Add and Subtract
  302.    wt: 1:   16 Addition Subtraction Comparision Compared
  303.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  304.    wt: 1:   14 Adding and Subtracting with Like Denominators
  305.    wt: 1:   13 Fraction Comparison Algebraic View
  306.    wt: 1:   12 Fraction Comparison
  307.    wt: 1:   11 Simplification an Algebraic View
  308.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  309.    wt: 1:   8 Numerals Fractionals Quantals Take II
  310.    wt: 1:   7 Numerals Fractionals Quantals
  311.    wt: 1:   6 Multiplication Algebraically Take II
  312.    wt: 1:   5 Equivalent Fractions
  313.    wt: 1:   4 Fraction Multiplication
  314.    wt: 1:   3 Unit fraction of a fraction
  315.    wt: 1:   2 Unit Fraction Multiplication
  316.    wt: 1:   1 What is a fraction Take II
  317.    wt: 1:   1 What is a fraction
  318.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  319.    wt: 1:   D Remainders Modulo 11 Pair Rule
  320.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  321.    wt: 1:   B Integer Long Division Multiple Choices
  322.    wt: 1:   A Associative Law Theorectical Note
  323.    wt: 1:   13 Subtraction with Additive Inverse
  324.    wt: 1:   12 Adding Integers More Examples
  325.    wt: 1:   11 Adding Integers Formulas and Examples
  326.    wt: 1:   10 Integer Multiplication Formulas
  327.    wt: 1:   9 Multiplying Integers
  328.    wt: 1:   7 Multiplication by Signs
  329.    wt: 1:   5 Zero Movement and Additive Inverses
  330.    wt: 1:   4 Adding Movements wiht opposite directions
  331.    wt: 1:   3 Adding Movements with same direction
  332.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  333.    wt: 1:   1 Integers as Coordinates
  334.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  335.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  336.    wt: 1:   26 Divisibility by 2 3 5 Example
  337.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  338.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  339.    wt: 1:   23 Remainder Arithmetic Modulo 2
  340.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  341.    wt: 1:   21 Remainder Arithmetic Modulo 3
  342.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  343.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  344.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  345.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  346.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  347.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  348.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  349.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  350.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  351.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  352.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  353.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  354.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  355.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  356.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  357.    wt: 1:   5 Remainder Arithmetic Modulo 5
  358.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  359.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  360.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  361.    wt: 1:   1 Remainder Arithmetic Modulo 10
  362.    wt: 1:   20 Uniqueness of Prime Factorization
  363.    wt: 1:   19 video Prime Factorization Unique
  364.    wt: 1:   18 video Count Factors given Prime Factorization
  365.    wt: 1:   17 Identify and Count Factors using Primes
  366.    wt: 1:   16 video Factors of 980 using prime
  367.    wt: 1:   15 video Factors of 20 using Prime Factorization
  368.    wt: 1:   14 video Factors of 24 Take II
  369.    wt: 1:   13 video Factors of 24 using prime
  370.    wt: 1:   12 LCD GCD and LCM using Primes
  371.    wt: 1:   11 Efficient Square Rule Use
  372.    wt: 1:   10 video Prime Factorization upto 23 squared
  373.    wt: 1:   9 video Prime Factorization upto 19 squared
  374.    wt: 1:   8 video Prime Factorization upto 19
  375.    wt: 1:   7 Calculator Usage Notes and Cautions
  376.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  377.    wt: 1:   5 Prime Factorization and a Square Rule
  378.    wt: 1:   4 video Prime Factorization Introduction
  379.    wt: 1:   3 video Primes and Composites from 9 times table
  380.    wt: 1:   2 Prime and Composites less than 16
  381.    wt: 1:   1 video how Products are bigger than factor
  382.    wt: 1:   Long Division Backwards more
  383.    wt: 1:   Long Division Backward
  384.    wt: 1:   Division with Counts and Length
  385.    wt: 1:   Long Division forwards and backwards Example 3
  386.    wt: 1:   Long Division forwards and backwards Example 2
  387.    wt: 1:   Long Division forwards and backwards Example 1
  388.    wt: 1:   12 Why Long Division Works Take III
  389.    wt: 1:   11 Another Single Digit Divisor Example
  390.    wt: 1:   10 Division by Five Long and Short Ways
  391.    wt: 1:   9 Why Long Division Works Take II
  392.    wt: 1:   8 Correcting the Mistake
  393.    wt: 1:   7 Long Divison Mistake Catching
  394.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  395.    wt: 1:   5 Long Division Include Zeroes or not
  396.    wt: 1:   4 Division with 2 Digit Divsors
  397.    wt: 1:   3 Division Single Digit Divisor Example
  398.    wt: 1:   2 Division with Single Digit Divisors
  399.    wt: 1:   1 Divsion Physical Examples
  400.    wt: 1:   D Decimal Multiplication Methods Derived
  401.    wt: 1:   C Counting Areas with Powers of Ten
  402.    wt: 1:   B Powers of Ten
  403.    wt: 1:   A Elementary Basis for Multiplication Methods
  404.    wt: 1:   6 Multiplication Commutes Order Not Important
  405.    wt: 1:   5 Decimal Fraction Multiplication
  406.    wt: 1:   4 Two and Three Digit Multipliers
  407.    wt: 1:   3 More One Digit Multipliers
  408.    wt: 1:   2 One Digit Multipliers
  409.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  410.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  411.    wt: 1:   Video Power Notation in Decimal Expansion
  412.    wt: 1:   1 Why 3 times 5 gives 15
  413.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  414.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  415.    wt: 1:   Subtraction with J Conversions Example
  416.    wt: 1:   Subtraction Another Video Lesson
  417.    wt: 1:   9 22 Minute Subtraction Review Video
  418.    wt: 1:   8 Subtraction with Units of Measure
  419.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  420.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  421.    wt: 1:   5 A Tip for Efficent Subtraction
  422.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  423.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  424.    wt: 1:   2 Subtraction Easy Case Examples
  425.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  426.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  427.    wt: 1:   8 What skills and work habits to require
  428.    wt: 1:   7 Adding decimal fractions using decimal point
  429.    wt: 1:   6. Counting and adding units and mixed units
  430.    wt: 1:   5. How to add decimals C. Examples
  431.    wt: 1:   4. How to add with decimals B with conversions
  432.    wt: 1:   3. How to add with decimals A sans conversions
  433.    wt: 1:   2 Decimal Counting Practices
  434.    wt: 1:   1. Explaining Addition Table
  435.    wt: 1:   11 Place Value SI Standard International way
  436.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  437.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  438.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  439.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  440.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  441.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  442.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  443.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  444.    wt: 1:   Exact Arithmetic Wholes and Fractions
  445.    wt: 1:   Formula Evaluation how to show work
  446.    wt: 1:   Expression Evaluation how to show work
  447.    wt: 1:   The 20 Times Table
  448.    wt: 1:   The 12 Times Table Visually
  449.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  450.    wt: 1:   About folder contents
  451.    wt: 1:   011 Division of Time Intervals By Numbers
  452.    wt: 1:   Chapter 22 Complex Numbers
  453.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  454.    wt: 1:   Appendix E. How To Study Mathematics and Why
  455.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  456.    wt: 1:   Annotated Links to Material Elsehwere
  457.    wt: 1:   Postscript A Three Remarks
  458.    wt: 1:   Chapter 12 Four Phases
  459.    wt: 1:   Chapter 11 Elementary Instruction
  460.    wt: 1:   Chapter 10 Transition
  461.    wt: 1:   Chapter 9 The Two Ends
  462.    wt: 1:   Chapter 8 Modern Instruction
  463.    wt: 1:   Chapter 7 Two Treatments of Geometry
  464.    wt: 1:   Chapter 5 Four References
  465.    wt: 1:   Chapter 3 Algebra Difficulties
  466.    wt: 1:   Chapter 1 Introduction
  467.    wt: 1:   Foreword
  468.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  469.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  470.    wt: 1:   R Why Learn Mathematics Skills
  471.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  472.    wt: 1:   O On Learning Mathematics and Science
  473.    wt: 1:   N Mathematics Prepare for College Studies
  474.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  475.    wt: 1:   Chapter 8 Skipped Topics and Why
  476.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  477.    wt: 1:   Chapter 6 More Algebra and Geometry
  478.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  479.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  480.    wt: 1:   Chapter 3 Algebra Starter Lessons
  481.    wt: 1:   Chapter 2 Why Sets
  482.    wt: 1:   Chapter 1 Arithmetic
  483.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  484.    wt: 1:   7 Games and Activities for Instruction
  485.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  486.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  487.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  488.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  489.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  490.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  491.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  492.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  493.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  494.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  495.    wt: 1:   Implementation Notes
  496.    wt: 1:   More Algebra and Slope based Calculus Preview
  497.    wt: 1:   Systematic Algebra Skill Development Missing Links
  498.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  499.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  500.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  501.    wt: 1:   Which Way To Go
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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