Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters. For better or best skill development practices, see site chapters and steps.

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: 2:   22 Student Centered Highschool Mathematics
  2.    wt: 2:   7 Student Motivation
  3.    wt: 1:   three goals to set for students
  4.    wt: 1:   activities for students
  5.    wt: 1:   grouping students according to ability
  6.    wt: 1:   What to Tell Students
  7.    wt: 1:   three aims for mathematics students
  8.    wt: 1:   Motivation and Context Problem
  9.    wt: 1:   9 Streaming by Student Cooperation
  10.    wt: 1:   12 motivation for term arctan
  11.    wt: 1:   9 motivation for name arcsin
  12.    wt: 1:   4 possible motivation for term arccos
  13.    wt: 1:   3 Motivation for Limit Definition Take 2
  14.    wt: 1:   2 Motivation for Limit Definition Take 1
  15.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  16.    wt: 1:   F. The student teacher tutor feedback loop

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  1.    wt: 4:   22 Student Centered Highschool Mathematics
  2.    wt: 4:   7 Student Motivation
  3.    wt: 3:   9 Streaming by Student Cooperation
  4.    wt: 2:   Home Tutoring and Home Schooling
  5.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   24 Standards For Skill Develoment Take II
  8.    wt: 2:   24 Standards For Skill Develoment
  9.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  10.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  11.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  12.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  13.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  14.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  15.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  16.    wt: 2:   18 Primary School Mathematics
  17.    wt: 2:   17 Math Booklets for children and young teenagers
  18.    wt: 2:   16 Secondary Mathematics Tips
  19.    wt: 2:   15 Counting For Parents
  20.    wt: 2:   14 Multiplication and Times Tables
  21.    wt: 2:   13 Addition and Addition Tables
  22.    wt: 2:   12 Goals and Objectives For Mathematics
  23.    wt: 2:   11 Help and Defend Your Child or Teens Education
  24.    wt: 2:   10 Ends values for work study instruction
  25.    wt: 2:   8 The Effect of Negative Remarks
  26.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  27.    wt: 2:   5 Patience Please for Yourself and Your Charges
  28.    wt: 2:   4 Learning Takes Time and Effort
  29.    wt: 2:   3 Preparing for Science Studies
  30.    wt: 2:   2 Reading and Writing Skills
  31.    wt: 2:   1 Speaking Skills
  32.    wt: 1:   three goals to set for students
  33.    wt: 1:   activities for students
  34.    wt: 1:   grouping students according to ability
  35.    wt: 1:   What to Tell Students
  36.    wt: 1:   three aims for mathematics students
  37.    wt: 1:   Motivation and Context Problem
  38.    wt: 1:   12 motivation for term arctan
  39.    wt: 1:   9 motivation for name arcsin
  40.    wt: 1:   4 possible motivation for term arccos
  41.    wt: 1:   3 Motivation for Limit Definition Take 2
  42.    wt: 1:   2 Motivation for Limit Definition Take 1
  43.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  44.    wt: 1:   F. The student teacher tutor feedback loop

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Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

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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