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.

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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/
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  5.    wt: 1:   Mathematics Skills Year by Year/
  6.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  7.    wt: 1:   Mathematics 506 Lessons/
  8.    wt: 1:   Mathematics Skill Development Framework/

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74 matches:

  1.    wt: 3:   E LAMP Introduction Modern Mathematics
  2.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 2:   J LAMP Introduction Extrinsic Origins
  4.    wt: 2:   I LAMP Introduction Study Habits
  5.    wt: 2:   H LAMP Introduction Instructional Concepts
  6.    wt: 2:   G LAMP Introduction Problem Solving Skills
  7.    wt: 2:   F LAMP Introduction Prerequisites
  8.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 2:   A Introduction Objectives
  10.    wt: 2:   Applied Maths Program14092009 POMME variant
  11.    wt: 2:   Leaner mathematics curriculum
  12.    wt: 2:   12 Goals and Objectives For Mathematics
  13.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  14.    wt: 2:   12 From Applied To Pure Mathematics
  15.    wt: 1:   K LAMP Musings Science Education
  16.    wt: 1:   Ramblings Introduction Algebra Essay
  17.    wt: 1:   Skills Chapter 0 Introduction
  18.    wt: 1:   11 pure mathematics
  19.    wt: 1:   3 Euclidean Geometry Leanly
  20.    wt: 1:   Math Ed if it must be short make it lean effective
  21.    wt: 1:   Mathematics Education Professors
  22.    wt: 1:   mathematics in context
  23.    wt: 1:   Secondary Three Mathematics
  24.    wt: 1:   Secondary Two Mathematics
  25.    wt: 1:   Secondary One Mathematics
  26.    wt: 1:   mathematics curriculum shifts
  27.    wt: 1:   three goals for Mathematics Education
  28.    wt: 1:   04 29 New Mathematics Curriculum
  29.    wt: 1:   02 20 mathematics education references
  30.    wt: 1:   three aims for mathematics students
  31.    wt: 1:   mathematics instruction in general
  32.    wt: 1:   Education in mathematics science and technology
  33.    wt: 1:   three kinds of reason in mathematics
  34.    wt: 1:   need for a mixed mathematics curriculum
  35.    wt: 1:   words for mathematics instructor
  36.    wt: 1:   chapitre 01 00 Introduction
  37.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  38.    wt: 1:   22 Student Centered Highschool Mathematics
  39.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  40.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  41.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  42.    wt: 1:   18 Primary School Mathematics
  43.    wt: 1:   16 Secondary Mathematics Tips
  44.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  45.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  46.    wt: 1:   4 Function notation in and beyond mathematics
  47.    wt: 1:   1 Geometric Introduction of Function Notation
  48.    wt: 1:   Introduction Reading Guide
  49.    wt: 1:   1 Degrees and Radians Introduction
  50.    wt: 1:   5 Algebraic Solutions Introduction
  51.    wt: 1:   7 Compound Interest Formula Introduction
  52.    wt: 1:   1 Squares and Square Roots Introduction
  53.    wt: 1:   1 Least Common Multiples LCM Introduction
  54.    wt: 1:   4 video Prime Factorization Introduction
  55.    wt: 1:   18 Chain Rule Introduction
  56.    wt: 1:   1 Numerical introduction
  57.    wt: 1:   A1. Introduction
  58.    wt: 1:   Chapter 1.Introduction
  59.    wt: 1:   Appendix E. How To Study Mathematics and Why
  60.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  61.    wt: 1:   Postscript B Mathematics Education References
  62.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  63.    wt: 1:   Chapter 2 For and Against Mathematics
  64.    wt: 1:   Chapter 1 Introduction
  65.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  66.    wt: 1:   Chapter 1 Introduction
  67.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  68.    wt: 1:   R Why Learn Mathematics Skills
  69.    wt: 1:   O On Learning Mathematics and Science
  70.    wt: 1:   N Mathematics Prepare for College Studies
  71.    wt: 1:   Helping the Blind in Logic and Mathematics
  72.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  73.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  74.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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171 matches:

  1.    wt: 9:   E LAMP Introduction Modern Mathematics
  2.    wt: 9:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 8:   J LAMP Introduction Extrinsic Origins
  4.    wt: 8:   I LAMP Introduction Study Habits
  5.    wt: 8:   H LAMP Introduction Instructional Concepts
  6.    wt: 8:   G LAMP Introduction Problem Solving Skills
  7.    wt: 8:   F LAMP Introduction Prerequisites
  8.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 8:   A Introduction Objectives
  10.    wt: 7:   K LAMP Musings Science Education
  11.    wt: 7:   Ramblings Introduction Algebra Essay
  12.    wt: 7:   Skills Chapter 0 Introduction
  13.    wt: 6:   Appendix 2 primary school Arithmetic 01
  14.    wt: 6:   Appendix 1 primary and preschool mathematic
  15.    wt: 6:   Skills Chapter 5 Calculus
  16.    wt: 6:   Skills Chapter 4 Logic
  17.    wt: 6:   Ramblings Extrinsic numbers theory
  18.    wt: 6:   Skills Chapter 3 Algebra
  19.    wt: 6:   Skills Chapter 2 Geometry
  20.    wt: 6:   Skills Chapter 1 Arithmetic
  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:   Math Ed if it must be short make it lean effective
  26.    wt: 3:   Mathematics Education Professors
  27.    wt: 3:   mathematics in context
  28.    wt: 3:   Secondary Three Mathematics
  29.    wt: 3:   Secondary Two Mathematics
  30.    wt: 3:   Secondary One Mathematics
  31.    wt: 3:   mathematics curriculum shifts
  32.    wt: 3:   three goals for Mathematics Education
  33.    wt: 3:   04 29 New Mathematics Curriculum
  34.    wt: 3:   02 20 mathematics education references
  35.    wt: 3:   three aims for mathematics students
  36.    wt: 3:   mathematics instruction in general
  37.    wt: 3:   Education in mathematics science and technology
  38.    wt: 3:   three kinds of reason in mathematics
  39.    wt: 3:   need for a mixed mathematics curriculum
  40.    wt: 3:   words for mathematics instructor
  41.    wt: 3:   Objectives for Mathematics and Logic Language Skill Development
  42.    wt: 2:   10 statistics
  43.    wt: 2:   9 combinatorics probability sets
  44.    wt: 2:   8 analytic geometry etc
  45.    wt: 2:   7 logic review and decimals an odd combination
  46.    wt: 2:   6 polynomials etc
  47.    wt: 2:   5 logarithms and exponentials etc
  48.    wt: 2:   4 algebra
  49.    wt: 2:   2 arithmetic with signed numbers
  50.    wt: 2:   1 arithmetic with unsigned numbers
  51.    wt: 2:   What is POMME
  52.    wt: 2:   why bother
  53.    wt: 2:   which way to go
  54.    wt: 2:   website reviews
  55.    wt: 2:   three goals to set for students
  56.    wt: 2:   Teach the teachers plus goals
  57.    wt: 2:   permissions for teachers
  58.    wt: 2:   activities for students
  59.    wt: 2:   links Education Resources online
  60.    wt: 2:   site origins
  61.    wt: 2:   site eurekas
  62.    wt: 2:   About site lesson plans
  63.    wt: 2:   key notes and themes
  64.    wt: 2:   teacher certification
  65.    wt: 2:   modern education
  66.    wt: 2:   learning takes time
  67.    wt: 2:   grouping students according to ability
  68.    wt: 2:   what should be learnt and When
  69.    wt: 2:   Postscript 2007 01 10
  70.    wt: 2:   Education Reform Inconsistencies
  71.    wt: 2:   five decades make a difference
  72.    wt: 2:   Maps Plans Drawings
  73.    wt: 2:   how letters appear
  74.    wt: 2:   talk the algebra talk
  75.    wt: 2:   three difficulties
  76.    wt: 2:   teaching tips
  77.    wt: 2:   What to Tell Students
  78.    wt: 2:   geometric implications for algebra
  79.    wt: 2:   teaching tutoring algebraic reason
  80.    wt: 2:   Lessening Algebra Difficulties
  81.    wt: 2:   the trouble with algebra
  82.    wt: 2:   05 13 OldSiteEntrancePage
  83.    wt: 2:   04 25 when to stop or suspend mathemat
  84.    wt: 2:   02 21 words for teachers
  85.    wt: 2:   standards for course material
  86.    wt: 2:   Operational Viewpoint to Value
  87.    wt: 2:   formal or informal peer review
  88.    wt: 2:   Theory of Knowledge
  89.    wt: 2:   Different Kinds of Reasoning in maths
  90.    wt: 2:   cultivating intelligence
  91.    wt: 2:   Four ways to improve education reform
  92.    wt: 2:   How to be a better instructor
  93.    wt: 2:   Motivation and Context Problem
  94.    wt: 2:   Prequel In For A Penny In For A Pound
  95.    wt: 2:   education an empirical art
  96.    wt: 2:   fairness and inductive principles for instruction
  97.    wt: 2:   12 Goals and Objectives For Mathematics
  98.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  99.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  100.    wt: 2:   12 From Applied To Pure Mathematics
  101.    wt: 2:   Postscript B Mathematics Education References
  102.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  103.    wt: 2:   Chapter 2 For and Against Mathematics
  104.    wt: 2:   Chapter 1 Introduction
  105.    wt: 2:   Helping the Blind in Logic and Mathematics
  106.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  107.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  108.    wt: 1:   chapitre 01 00 Introduction
  109.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  110.    wt: 1:   22 Student Centered Highschool Mathematics
  111.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  112.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  113.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  114.    wt: 1:   18 Primary School Mathematics
  115.    wt: 1:   16 Secondary Mathematics Tips
  116.    wt: 1:   Ages 12 to 14 Skills with take home value
  117.    wt: 1:   Ages 12 to 14 Geometry
  118.    wt: 1:   Ages 12 to 14 Arithmetic
  119.    wt: 1:   Ages 10 to 12 Geometry
  120.    wt: 1:   Ages 10 to 12 Arithmetic
  121.    wt: 1:   Ages 9 to 10
  122.    wt: 1:   Ages 8 to 9
  123.    wt: 1:   Ages 7 to 8
  124.    wt: 1:   Ages 6 to 7
  125.    wt: 1:   Ages 4 plus to 5 plus
  126.    wt: 1:   Ages 3 plus to 4 plus
  127.    wt: 1:   4 Function notation in and beyond mathematics
  128.    wt: 1:   1 Geometric Introduction of Function Notation
  129.    wt: 1:   Introduction Reading Guide
  130.    wt: 1:   1 Degrees and Radians Introduction
  131.    wt: 1:   5 Algebraic Solutions Introduction
  132.    wt: 1:   7 Compound Interest Formula Introduction
  133.    wt: 1:   1 Squares and Square Roots Introduction
  134.    wt: 1:   1 Least Common Multiples LCM Introduction
  135.    wt: 1:   4 video Prime Factorization Introduction
  136.    wt: 1:   18 Chain Rule Introduction
  137.    wt: 1:   1 Numerical introduction
  138.    wt: 1:   A1. Introduction
  139.    wt: 1:   Chapter 1.Introduction
  140.    wt: 1:   Appendix E. How To Study Mathematics and Why
  141.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  142.    wt: 1:   Annotated Links to Material Elsehwere
  143.    wt: 1:   Postscript A Three Remarks
  144.    wt: 1:   Chapter 12 Four Phases
  145.    wt: 1:   Chapter 11 Elementary Instruction
  146.    wt: 1:   Chapter 10 Transition
  147.    wt: 1:   Chapter 9 The Two Ends
  148.    wt: 1:   Chapter 8 Modern Instruction
  149.    wt: 1:   Chapter 7 Two Treatments of Geometry
  150.    wt: 1:   Chapter 5 Four References
  151.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  152.    wt: 1:   Chapter 3 Algebra Difficulties
  153.    wt: 1:   Foreword
  154.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  155.    wt: 1:   Chapter 1 Introduction
  156.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  157.    wt: 1:   R Why Learn Mathematics Skills
  158.    wt: 1:   O On Learning Mathematics and Science
  159.    wt: 1:   N Mathematics Prepare for College Studies
  160.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  161.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  162.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  163.    wt: 1:   Implementation Notes
  164.    wt: 1:   More Algebra and Slope based Calculus Preview
  165.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  166.    wt: 1:   Systematic Algebra Skill Development Missing Links
  167.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  168.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  169.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  170.    wt: 1:   Which Way To Go
  171.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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


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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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