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/
  4.    wt: 1:   Archives/
  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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47 matches:

  1.    wt: 2:   Applied Maths Program14092009 POMME variant
  2.    wt: 2:   Leaner mathematics curriculum
  3.    wt: 2:   12 From Applied To Pure Mathematics
  4.    wt: 1:   E LAMP Introduction Modern Mathematics
  5.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  6.    wt: 1:   11 pure mathematics
  7.    wt: 1:   3 Euclidean Geometry Leanly
  8.    wt: 1:   Math Ed if it must be short make it lean effective
  9.    wt: 1:   Mathematics Education Professors
  10.    wt: 1:   mathematics in context
  11.    wt: 1:   Secondary Three Mathematics
  12.    wt: 1:   Secondary Two Mathematics
  13.    wt: 1:   Secondary One Mathematics
  14.    wt: 1:   mathematics curriculum shifts
  15.    wt: 1:   three goals for Mathematics Education
  16.    wt: 1:   04 29 New Mathematics Curriculum
  17.    wt: 1:   02 20 mathematics education references
  18.    wt: 1:   three aims for mathematics students
  19.    wt: 1:   mathematics instruction in general
  20.    wt: 1:   Education in mathematics science and technology
  21.    wt: 1:   three kinds of reason in mathematics
  22.    wt: 1:   need for a mixed mathematics curriculum
  23.    wt: 1:   words for mathematics instructor
  24.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  25.    wt: 1:   22 Student Centered Highschool Mathematics
  26.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  29.    wt: 1:   18 Primary School Mathematics
  30.    wt: 1:   16 Secondary Mathematics Tips
  31.    wt: 1:   12 Goals and Objectives For Mathematics
  32.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  33.    wt: 1:   4 Function notation in and beyond mathematics
  34.    wt: 1:   Why Trigonometry the whyslopes view
  35.    wt: 1:   Appendix E. How To Study Mathematics and Why
  36.    wt: 1:   Postscript B Mathematics Education References
  37.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  38.    wt: 1:   Chapter 2 For and Against Mathematics
  39.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  40.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  41.    wt: 1:   R Why Learn Mathematics Skills
  42.    wt: 1:   O On Learning Mathematics and Science
  43.    wt: 1:   N Mathematics Prepare for College Studies
  44.    wt: 1:   Helping the Blind in Logic and Mathematics
  45.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  46.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  47.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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157 matches:

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