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: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 3:   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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61 matches:

  1.    wt: 4:   K LAMP Musings Science Education
  2.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 3:   Education in mathematics science and technology
  4.    wt: 2:   E LAMP Introduction Modern Mathematics
  5.    wt: 2:   Applied Maths Program14092009 POMME variant
  6.    wt: 2:   Mathematics Education Professors
  7.    wt: 2:   three goals for Mathematics Education
  8.    wt: 2:   02 20 mathematics education references
  9.    wt: 2:   Leaner mathematics curriculum
  10.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  11.    wt: 2:   12 From Applied To Pure Mathematics
  12.    wt: 2:   Postscript B Mathematics Education References
  13.    wt: 2:   O On Learning Mathematics and Science
  14.    wt: 1:   J LAMP Introduction Extrinsic Origins
  15.    wt: 1:   I LAMP Introduction Study Habits
  16.    wt: 1:   H LAMP Introduction Instructional Concepts
  17.    wt: 1:   G LAMP Introduction Problem Solving Skills
  18.    wt: 1:   F LAMP Introduction Prerequisites
  19.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  20.    wt: 1:   11 pure mathematics
  21.    wt: 1:   3 Euclidean Geometry Leanly
  22.    wt: 1:   Math Ed if it must be short make it lean effective
  23.    wt: 1:   links Education Resources online
  24.    wt: 1:   modern education
  25.    wt: 1:   mathematics in context
  26.    wt: 1:   Education Reform Inconsistencies
  27.    wt: 1:   Secondary Three Mathematics
  28.    wt: 1:   Secondary Two Mathematics
  29.    wt: 1:   Secondary One Mathematics
  30.    wt: 1:   mathematics curriculum shifts
  31.    wt: 1:   04 29 New Mathematics Curriculum
  32.    wt: 1:   three aims for mathematics students
  33.    wt: 1:   mathematics instruction in general
  34.    wt: 1:   three kinds of reason in mathematics
  35.    wt: 1:   Four ways to improve education reform
  36.    wt: 1:   need for a mixed mathematics curriculum
  37.    wt: 1:   education an empirical art
  38.    wt: 1:   words for mathematics instructor
  39.    wt: 1:   22 Student Centered Highschool Mathematics
  40.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  41.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  42.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  43.    wt: 1:   18 Primary School Mathematics
  44.    wt: 1:   16 Secondary Mathematics Tips
  45.    wt: 1:   12 Goals and Objectives For Mathematics
  46.    wt: 1:   11 Help and Defend Your Child or Teens Education
  47.    wt: 1:   3 Preparing for Science Studies
  48.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  49.    wt: 1:   4 Function notation in and beyond mathematics
  50.    wt: 1:   musings do not puiblish real numbers
  51.    wt: 1:   Appendix E. How To Study Mathematics and Why
  52.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  53.    wt: 1:   Chapter 2 For and Against Mathematics
  54.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  55.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  56.    wt: 1:   R Why Learn Mathematics Skills
  57.    wt: 1:   N Mathematics Prepare for College Studies
  58.    wt: 1:   Helping the Blind in Logic and Mathematics
  59.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  60.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  61.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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159 matches:

  1.    wt: 9:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 8:   E LAMP Introduction Modern Mathematics
  3.    wt: 7:   J LAMP Introduction Extrinsic Origins
  4.    wt: 7:   I LAMP Introduction Study Habits
  5.    wt: 7:   H LAMP Introduction Instructional Concepts
  6.    wt: 7:   G LAMP Introduction Problem Solving Skills
  7.    wt: 7:   F LAMP Introduction Prerequisites
  8.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 6:   Appendix 2 primary school Arithmetic 01
  10.    wt: 6:   Appendix 1 primary and preschool mathematic
  11.    wt: 6:   A Introduction Objectives
  12.    wt: 6:   Skills Chapter 5 Calculus
  13.    wt: 6:   Skills Chapter 4 Logic
  14.    wt: 6:   Ramblings Extrinsic numbers theory
  15.    wt: 6:   Ramblings Introduction Algebra Essay
  16.    wt: 6:   Skills Chapter 3 Algebra
  17.    wt: 6:   Skills Chapter 2 Geometry
  18.    wt: 6:   Skills Chapter 1 Arithmetic
  19.    wt: 6:   Skills Chapter 0 Introduction
  20.    wt: 6:   Education in mathematics science and technology
  21.    wt: 5:   Applied Maths Program14092009 POMME variant
  22.    wt: 5:   Mathematics Education Professors
  23.    wt: 5:   three goals for Mathematics Education
  24.    wt: 5:   02 20 mathematics education references
  25.    wt: 5:   Leaner mathematics curriculum
  26.    wt: 4:   11 pure mathematics
  27.    wt: 4:   3 Euclidean Geometry Leanly
  28.    wt: 4:   Math Ed if it must be short make it lean effective
  29.    wt: 4:   links Education Resources online
  30.    wt: 4:   modern education
  31.    wt: 4:   mathematics in context
  32.    wt: 4:   Education Reform Inconsistencies
  33.    wt: 4:   Secondary Three Mathematics
  34.    wt: 4:   Secondary Two Mathematics
  35.    wt: 4:   Secondary One Mathematics
  36.    wt: 4:   mathematics curriculum shifts
  37.    wt: 4:   04 29 New Mathematics Curriculum
  38.    wt: 4:   three aims for mathematics students
  39.    wt: 4:   mathematics instruction in general
  40.    wt: 4:   three kinds of reason in mathematics
  41.    wt: 4:   Four ways to improve education reform
  42.    wt: 4:   need for a mixed mathematics curriculum
  43.    wt: 4:   education an empirical art
  44.    wt: 4:   words for mathematics instructor
  45.    wt: 3:   10 statistics
  46.    wt: 3:   9 combinatorics probability sets
  47.    wt: 3:   8 analytic geometry etc
  48.    wt: 3:   7 logic review and decimals an odd combination
  49.    wt: 3:   6 polynomials etc
  50.    wt: 3:   5 logarithms and exponentials etc
  51.    wt: 3:   4 algebra
  52.    wt: 3:   2 arithmetic with signed numbers
  53.    wt: 3:   1 arithmetic with unsigned numbers
  54.    wt: 3:   What is POMME
  55.    wt: 3:   why bother
  56.    wt: 3:   which way to go
  57.    wt: 3:   website reviews
  58.    wt: 3:   three goals to set for students
  59.    wt: 3:   Teach the teachers plus goals
  60.    wt: 3:   permissions for teachers
  61.    wt: 3:   activities for students
  62.    wt: 3:   site origins
  63.    wt: 3:   site eurekas
  64.    wt: 3:   About site lesson plans
  65.    wt: 3:   key notes and themes
  66.    wt: 3:   teacher certification
  67.    wt: 3:   learning takes time
  68.    wt: 3:   grouping students according to ability
  69.    wt: 3:   what should be learnt and When
  70.    wt: 3:   Postscript 2007 01 10
  71.    wt: 3:   five decades make a difference
  72.    wt: 3:   Maps Plans Drawings
  73.    wt: 3:   how letters appear
  74.    wt: 3:   talk the algebra talk
  75.    wt: 3:   three difficulties
  76.    wt: 3:   teaching tips
  77.    wt: 3:   What to Tell Students
  78.    wt: 3:   geometric implications for algebra
  79.    wt: 3:   teaching tutoring algebraic reason
  80.    wt: 3:   Lessening Algebra Difficulties
  81.    wt: 3:   the trouble with algebra
  82.    wt: 3:   05 13 OldSiteEntrancePage
  83.    wt: 3:   04 25 when to stop or suspend mathemat
  84.    wt: 3:   02 21 words for teachers
  85.    wt: 3:   standards for course material
  86.    wt: 3:   Operational Viewpoint to Value
  87.    wt: 3:   formal or informal peer review
  88.    wt: 3:   Theory of Knowledge
  89.    wt: 3:   Different Kinds of Reasoning in maths
  90.    wt: 3:   cultivating intelligence
  91.    wt: 3:   How to be a better instructor
  92.    wt: 3:   Motivation and Context Problem
  93.    wt: 3:   Prequel In For A Penny In For A Pound
  94.    wt: 3:   fairness and inductive principles for instruction
  95.    wt: 3:   Postscript B Mathematics Education References
  96.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  97.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  98.    wt: 2:   12 From Applied To Pure Mathematics
  99.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  100.    wt: 2:   Chapter 2 For and Against Mathematics
  101.    wt: 2:   O On Learning Mathematics and Science
  102.    wt: 2:   Helping the Blind in Logic and Mathematics
  103.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  104.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  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:   11 Help and Defend Your Child or Teens Education
  113.    wt: 1:   3 Preparing for Science Studies
  114.    wt: 1:   Ages 12 to 14 Skills with take home value
  115.    wt: 1:   Ages 12 to 14 Geometry
  116.    wt: 1:   Ages 12 to 14 Arithmetic
  117.    wt: 1:   Ages 10 to 12 Geometry
  118.    wt: 1:   Ages 10 to 12 Arithmetic
  119.    wt: 1:   Ages 9 to 10
  120.    wt: 1:   Ages 8 to 9
  121.    wt: 1:   Ages 7 to 8
  122.    wt: 1:   Ages 6 to 7
  123.    wt: 1:   Ages 4 plus to 5 plus
  124.    wt: 1:   Ages 3 plus to 4 plus
  125.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  126.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  127.    wt: 1:   4 Function notation in and beyond mathematics
  128.    wt: 1:   musings do not puiblish real numbers
  129.    wt: 1:   Appendix E. How To Study Mathematics and Why
  130.    wt: 1:   Annotated Links to Material Elsehwere
  131.    wt: 1:   Postscript A Three Remarks
  132.    wt: 1:   Chapter 12 Four Phases
  133.    wt: 1:   Chapter 11 Elementary Instruction
  134.    wt: 1:   Chapter 10 Transition
  135.    wt: 1:   Chapter 9 The Two Ends
  136.    wt: 1:   Chapter 8 Modern Instruction
  137.    wt: 1:   Chapter 7 Two Treatments of Geometry
  138.    wt: 1:   Chapter 5 Four References
  139.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  140.    wt: 1:   Chapter 3 Algebra Difficulties
  141.    wt: 1:   Chapter 1 Introduction
  142.    wt: 1:   Foreword
  143.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  144.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  145.    wt: 1:   R Why Learn Mathematics Skills
  146.    wt: 1:   N Mathematics Prepare for College Studies
  147.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  148.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  149.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  150.    wt: 1:   Implementation Notes
  151.    wt: 1:   More Algebra and Slope based Calculus Preview
  152.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  153.    wt: 1:   Systematic Algebra Skill Development Missing Links
  154.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  155.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  156.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  157.    wt: 1:   Which Way To Go
  158.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  159.    wt: 10:   K LAMP Musings Science Education

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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.

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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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