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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 < Archives < Mathematics Education Essays << Leaner mathematics curriculum
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For a Leaner Mathematics Curriculum
Terminal Courses: The knowledge that a
mathematics courses might be the last one seen by a student could
dictate its form and content. The course objective would be develop
practical skills and confidence, and so provide a favorable last
impressions and hence an invitation for further studies in mathematics
or quantitative disciplines. What we want are courses designed without
the expectation of continued studies that none the less include an
invitation for continued studies by building skills and confidence and
by providing information clearly useful (engaging) for pupils.
The site page describing a lean mixed mathematic
curriculum for secondary mathematics to or before calculus or
including calculus begins with three aims to set for students and
ideas on how to meet those aims in two steps or levels. The same page
continues or ends with the good yarn or story theory of knowledge, and a
description of the social and empirical construction of mathematics.
In this lean curriculum, an impure, mixed mathematics,
geometric development of complex numbers
with the assumption of their field properties, simpler than you
think, demystifies the discussion of complex numbers and the law
of signs, while easy consequences makes vectors and
trig easier to understand and connect. The coverage of complex
number may begin with or shortly after the explanation of rectangular
and polar coordinates, and alongside analytic descriptions of
rotations, translations and reflections in the plane.
The simple introduction of complex numbers gives a base for the use and
further study of mathematics in technical disciplines (think of
electricians with their phasors) and in science and engineering
disciplines where the complex number approach to trigonometry
simplifies calculations. If an earlier introduction is not
favored, the simple introduction of complex
numbers can be introduced at the start of unit circle
trigonometry.
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Location: Site Entrance < Archives < Mathematics Education Essays << Leaner mathematics curriculum
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