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YOU are better than YOU think. Show yourself how:
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Oops:
If you find an error, please report
it and its location (URL)
Logic
Mastery
Amazing, Amusing, Amorous, Delicious, Delightful, Edifying,
Strengthening Elixir.
It eases work & learning difficulties Makes the hard easier. Opens eyes.
Leads to greater precision.
in reading and
writing
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
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Caution: Site advice is approximately
correct, for some circumstances, not all. Site How-TOs are logically
developed, but not tried and tested. That leaves room for thought and
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After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
For online automated help in senior high school maths & calculus,
visit quickmath.com For Automatic
Calculus and Algebra Help with derivatives, integrals, graphs, linear equations,
matrix algebra, visit calc101.com
With overlap, each site quickmath
& calc101offers a different range of
services, some free, some not, all based on webmathematica. Good luck.
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Explore collaborative whiteboards from
groupboard, twiddla or
scriblink.
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-
Short Form - mostly
links with very few comments, plus some rough time estimates for each
part
-
Long Form-
links with more comments.
-
Longest Form - links
and many more comments.
Calculus gives the best framework for
understanding calculations met in business, science and engineering. Describing
the same calculation without calculus is long and shallower process. Good
preparation for college mathematics (or calculus) requires mastery of
most, but not all the topics, you meet in high school mathematics: exact
arithmetic with whole numbers and fractions, algebra, geometry without and with
coordinates, and trig.
Preparation for calculus prepares for most or all arts,
trades and disciplines involving mathematics. That is, preparing for
calculus will help you be better than you expect in accounting, art, chemistry,
drawing, English, physics, woodwork, metal work, geology, electricity,
mechanics, drafting and computing etc.
Many professions apart from mathematics, for instance
nursing and policing, require mastery of mathematics, even arithmetic, as
a sign of skill and intelligence in problem solving, or using rules and patterns
carefully and precisely in a repeatable and reproducible manner. Many
profession far from mathematics require mathematics mastery because its mastery
shows an error in one step makes it and everything after wrong.
Preparing for calculus will help you be better than you expect
in accounting, art, chemistry, drawing, English, physics, woodwork, metal work,
geology, electricity, mechanics, drafting and computing etc.
Even for students who do not take calculus, preparation for
calculus would or should lead to the ability to apply or use rules and patterns,
one at a time and one after another, carefully with the knowledge that an error
in one step makes all that follows wrong or give its a lesser value.
Students should not be surprised by the expectation that a multi-step method
lead to repeatable and reproducible results when sufficient care is taken.
Calculus even if unseen by many students, is unifying
subject in mathematics and its applications to other subjects - commerce,
business, personal finance, science, technology and engineering.
Reference: The Kyrgyz-Turkish
High Schools Mathematics Pages has a lot material in pdf files - look at
them
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Pages For Teachers
Site Intro
About Site Material I
Permissions for Instructors
Lesson Plans - Sec I
Lesson Plan, Sec II
Lesson Plans - Sec III
Secondary Maths, Core Elements
About Site Books & Areas
Site Reviews
Vol 1. Elements of Reason
Order Site Books
1. Arithmetic Reference Page
2. Restarting Algebra
3. More Algebra
4. Restarting Geometry
5. More Geometry
6. Restarting Calculus
7. Rethinking Logic
Show a student how to learn and that helps one. Show a
teacher or tutor how to make skills and concepts easier for students and
that helps many.
Miscellaneous
Your IP Address & how to use
it
Pages for Students
Site Intro
Head Start Page
25 hours per tear
More Advice & Directions
Aims to adopt to aid
Arithmetic Check List
Fraction Skill and Concept Check List
Site History and Content
Books to Read
Complex No.s Intro.,.
Calculus Motivation
Calculus. Guide Short
Calculus. Guide-Long
Calculus Guide - Longest
Links - Many Subjects
Links - Games/Activities
Long Site Intro
Still More Advice
Key Appetizers and Lessons
Logos Cafe
Logic Check List
Mathematics Cafe
Math CheckList
Notes
Site Areas by Age and Subject
A Site Map
Advice for Secondary I Students
Three Ways to be a Better Student
Reason for HS Mathematics
Montreal Tutors
Three Links for Teachers:
(i) First
Year High School Math - Lesson Plans with Fraction Focus
(ii) Second
Year High School Math - Lesson Plans with an algebra focus
(iii) Algebra
Lesson Plans
What may be learnt and when depends on how skills and
concepts are developed. Making the hard easier and clearer will allow earlier
& richer development of skills and concepts.
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Help Me Learn/Teach;
- Algebra
words before symbols
- direct &
indirect use of formula, numerical versus algebraic solutions - what
is a variable (more words)
- Arithmetic
- exercises
- with fractions
-
videos on primes, lcm, gcm,lcd, square roots etc
- Calculus - geometric
preview, algebraic
preview,
3 study guides,
much more
- Complex numbers
-starter lesson with java applet - easy
consequences for trig & vectors in the plane
- Education
- Empirical Course
Design & Delivery
- Fractions
- alone
- by rote
- with
algebra
- videos
- Functions - introduction
hindsight
- composition aka
substitution -
- Geometry, Euclidean - Correspondence
of triangles, Triangle
construction, duplication & Isometry - Failure
of ASA & the // line postulate - angle
sum in triangles -//
grams - Triangle
Similarity
- Geometry-
Analytic - functions, polynomials, complex numbers, unit circle
trigonometry
- Logic
- First Steps -
Symbols in
Logic -
Occurrence
& Truth Tables - Indirect
Reason -Indirect
Reason More
- Proportionality
- Definition
- Direct & Indirect Use - Numerical versus Algebraic Solutions
- Real Analysis
- Decimal View of concepts
and of proofs
- Rules &Patterns in Science, Technology & Society
- Pattern Based Reason
- Mathematical Reasoning, empirical, inductive or deductive
- Units
- in rates & slopes
& (?) derivatives
- in ratios
& proportions - slopes & rates included
- Complex Numbers & Vectors & Trig
- trig expression for
dot & cross - cosine
law
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