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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.
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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.
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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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Location: Site Entrance < Arithmetic and Number Theory Skills << 9 Combinatorics - Trees Tables and Products
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9 Combinatorics Trees Tables and Products
1 Counting and Counting Methods I
2 Counting with Tables and Trees I
3 Counting with Tables and Trees II
4 Counting with Trees - Product Rule Take I
5 Counting with Tables Trees - Product Rule Take II
Notes
Combinatorial methods or principles are illustrated in the following videos.
Details proofs would require a knowledge of mathematical induction
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Counting and Counting Methods I begins with
a review of decimal, multiplication and the role of
products in counting. The associative law for multiplication
is illustrated.
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Counting with Tables and Trees I introduces the table
and tree view of counting and generating all possibilities. The latter
would be called outcomes in the study of probability.
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Counting with Tables and Trees II links the
use of tables, tree and products in the counting of
possibilities. All is illustrated by answering in different
ways, redundancy deliberate, the question of how many two digit numbers can be formed with
5 or 6 in the tens place and 1, 2 or 3 in the first place. This
video shows
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Counting with Trees - Product Rule Take I In a special case,shows how
the product rule for counting possibilities may
follow from the tree method for generating all possibilities.
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Counting with Tables Trees - Product Rule Take II Shows how
the product rule for counting possibilities may
follow from the table and tree method for generating or identifying
possibilities. Then a general rule is stated and illustrated.
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