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.

Volume 1A Pattern Based Reason

Foreword

This work Pattern Based Reason surveys rule and pattern based thought in daily life, society, science and technology. There are simple ideas which should be more widely known.

The first chapters below show how reliable implication rules can be employed one at a time or one after another to arrive at conclusions. These chapters are very simple. Mastery of their ideas will serve well all students of logic.

The middle chapters describe or survey the origins, discovery and applications of rules and patterns. Not all is certain. Further data to use with them may be missing or not available. In the middle chapters, the problem of identifying reliable knowledge is described, but not solved, except for an explanation of the empirical method of coping. The identification problem touches many subjects. Students of critical thinking, persuasion, philosophy, mathematics, science and technology should find its discussion helpful.

The last chapters in this book show how the common concepts of a rule being obeyed, disobeyed or not disobeyed may justify or explain or provide a context for the entries in truth tables for material implication. Some symbols appear in the discussion of logic. All may be regarded as substitutes for the pronoun IT. The last chapter describes indirect methods for using implication rules to arrive at conclusions - a subject of interest to mathematics students and perhaps readers of detective mysteries.

Selby, Alan M,
Understanding and Explaining reason and math
Contents: v. 1. Elements of Reason - v. 2. Three Skills
for algebra - v.3. Why Slopes and more math.
ISBN 0-9697564-4-5 (set) -
ISBN 0-9697564-1-0 (v. 1) -
ISBN 0-9697564-2-9 (v. 2) -
ISBN 0-9697564-3-7 (v. 3) -
1. Mathematics–Philosophy. 2. Reason.
3. Algebra. 4. Calculus. I. Title. II. Title: Elements of reason. III.Three
Skills for algebra. IV. Title: Why Slopes and more math.
QA8.4.S44 1995 510’.1 C95-900945-0

Selby A, Volume 1A, Pattern Based Reason, 1996.

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science