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/
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  5.    wt: 1:   Mathematics Skills Year by Year/
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73 matches:

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

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172 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:   G LAMP Introduction Problem Solving Skills
  6.    wt: 8:   F LAMP Introduction Prerequisites
  7.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 7:   K LAMP Musings Science Education
  9.    wt: 7:   A Introduction Objectives
  10.    wt: 7:   Ramblings Introduction Algebra Essay
  11.    wt: 7:   Skills Chapter 0 Introduction
  12.    wt: 6:   Appendix 2 primary school Arithmetic 01
  13.    wt: 6:   Appendix 1 primary and preschool mathematic
  14.    wt: 6:   Skills Chapter 5 Calculus
  15.    wt: 6:   Skills Chapter 4 Logic
  16.    wt: 6:   Ramblings Extrinsic numbers theory
  17.    wt: 6:   Skills Chapter 3 Algebra
  18.    wt: 6:   Skills Chapter 2 Geometry
  19.    wt: 6:   Skills Chapter 1 Arithmetic
  20.    wt: 4:   Applied Maths Program14092009 POMME variant
  21.    wt: 4:   Leaner mathematics curriculum
  22.    wt: 3:   11 pure mathematics
  23.    wt: 3:   3 Euclidean Geometry Leanly
  24.    wt: 3:   Math Ed if it must be short make it lean effective
  25.    wt: 3:   Mathematics Education Professors
  26.    wt: 3:   mathematics in context
  27.    wt: 3:   Secondary Three Mathematics
  28.    wt: 3:   Secondary Two Mathematics
  29.    wt: 3:   Secondary One Mathematics
  30.    wt: 3:   mathematics curriculum shifts
  31.    wt: 3:   three goals for Mathematics Education
  32.    wt: 3:   04 29 New Mathematics Curriculum
  33.    wt: 3:   02 20 mathematics education references
  34.    wt: 3:   three aims for mathematics students
  35.    wt: 3:   mathematics instruction in general
  36.    wt: 3:   Education in mathematics science and technology
  37.    wt: 3:   three kinds of reason in mathematics
  38.    wt: 3:   need for a mixed mathematics curriculum
  39.    wt: 3:   words for mathematics instructor
  40.    wt: 2:   10 statistics
  41.    wt: 2:   9 combinatorics probability sets
  42.    wt: 2:   8 analytic geometry etc
  43.    wt: 2:   7 logic review and decimals an odd combination
  44.    wt: 2:   6 polynomials etc
  45.    wt: 2:   5 logarithms and exponentials etc
  46.    wt: 2:   4 algebra
  47.    wt: 2:   2 arithmetic with signed numbers
  48.    wt: 2:   1 arithmetic with unsigned numbers
  49.    wt: 2:   What is POMME
  50.    wt: 2:   why bother
  51.    wt: 2:   which way to go
  52.    wt: 2:   website reviews
  53.    wt: 2:   three goals to set for students
  54.    wt: 2:   Teach the teachers plus goals
  55.    wt: 2:   permissions for teachers
  56.    wt: 2:   activities for students
  57.    wt: 2:   links Education Resources online
  58.    wt: 2:   site origins
  59.    wt: 2:   site eurekas
  60.    wt: 2:   About site lesson plans
  61.    wt: 2:   key notes and themes
  62.    wt: 2:   teacher certification
  63.    wt: 2:   modern education
  64.    wt: 2:   learning takes time
  65.    wt: 2:   grouping students according to ability
  66.    wt: 2:   what should be learnt and When
  67.    wt: 2:   Postscript 2007 01 10
  68.    wt: 2:   Education Reform Inconsistencies
  69.    wt: 2:   five decades make a difference
  70.    wt: 2:   Maps Plans Drawings
  71.    wt: 2:   how letters appear
  72.    wt: 2:   talk the algebra talk
  73.    wt: 2:   three difficulties
  74.    wt: 2:   teaching tips
  75.    wt: 2:   What to Tell Students
  76.    wt: 2:   geometric implications for algebra
  77.    wt: 2:   teaching tutoring algebraic reason
  78.    wt: 2:   Lessening Algebra Difficulties
  79.    wt: 2:   the trouble with algebra
  80.    wt: 2:   05 13 OldSiteEntrancePage
  81.    wt: 2:   04 25 when to stop or suspend mathemat
  82.    wt: 2:   02 21 words for teachers
  83.    wt: 2:   standards for course material
  84.    wt: 2:   Operational Viewpoint to Value
  85.    wt: 2:   formal or informal peer review
  86.    wt: 2:   Theory of Knowledge
  87.    wt: 2:   Different Kinds of Reasoning in maths
  88.    wt: 2:   cultivating intelligence
  89.    wt: 2:   Four ways to improve education reform
  90.    wt: 2:   How to be a better instructor
  91.    wt: 2:   Motivation and Context Problem
  92.    wt: 2:   Prequel In For A Penny In For A Pound
  93.    wt: 2:   education an empirical art
  94.    wt: 2:   fairness and inductive principles for instruction
  95.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  96.    wt: 2:   12 From Applied To Pure Mathematics
  97.    wt: 2:   Postscript B Mathematics Education References
  98.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  99.    wt: 2:   Chapter 2 For and Against Mathematics
  100.    wt: 2:   Chapter 1 Introduction
  101.    wt: 2:   Helping the Blind in Logic and Mathematics
  102.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  103.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  104.    wt: 1:   chapitre 01 00 Introduction
  105.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  106.    wt: 1:   22 Student Centered Highschool Mathematics
  107.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  108.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  109.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  110.    wt: 1:   18 Primary School Mathematics
  111.    wt: 1:   16 Secondary Mathematics Tips
  112.    wt: 1:   12 Goals and Objectives For Mathematics
  113.    wt: 1:   Ages 12 to 14 Skills with take home value
  114.    wt: 1:   Ages 12 to 14 Geometry
  115.    wt: 1:   Ages 12 to 14 Arithmetic
  116.    wt: 1:   Ages 10 to 12 Geometry
  117.    wt: 1:   Ages 10 to 12 Arithmetic
  118.    wt: 1:   Ages 9 to 10
  119.    wt: 1:   Ages 8 to 9
  120.    wt: 1:   Ages 7 to 8
  121.    wt: 1:   Ages 6 to 7
  122.    wt: 1:   Ages 4 plus to 5 plus
  123.    wt: 1:   Ages 3 plus to 4 plus
  124.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  125.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  126.    wt: 1:   4 Function notation in and beyond mathematics
  127.    wt: 1:   1 Geometric Introduction of Function Notation
  128.    wt: 1:   Introduction Reading Guide
  129.    wt: 1:   1 Degrees and Radians Introduction
  130.    wt: 1:   1 Initial Concepts and Terms
  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
  172.    wt: 10:   H LAMP Introduction Instructional Concepts

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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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