YOU are better than YOU think. Show
yourself how:
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Read logic
chapters 1 to 5 in online volume Three
Skills for Algebra for greater skills & confidence
in work
and study.
Learn to read notes and textbooks like a lawyer, so that no nuance, no
subtlety and no clause escapes your attention. |
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Logic
chapters 1 to 5 re- appear not in sequence, as is or longer,
in Volume 1A, Pattern Based
Reason, Bon Appetite.
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
Logic
mastery makes the hard, easier. Logic
mastery leads to better, stronger and richer comprehension. Logic
mastery improves reading and writing. Logic
mastery ease learning difficulties. Logic
mastery gives a headstart. In sum, logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
liinear Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
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Caution: Site advice is approximately
correct, for some circumstances, not all. That leaves room for thought |
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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.
Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice.
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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Chapter 12
Shorthand Usage Guide
Previous Section: 12 Symbols as Pronouns or PlaceHolders
3 Overuse of Shorthand
Look at a list of first names of students in a class. If the name Tom occurs
once on that list, then only Tom responds when a teacher calls his name. On the
other hand, if the name Catherine occurs more than once, confusion could result.
With such a class list, when a teacher says Catherine, please stop that, a
few Catherines may hear. Here the innocent Catherines may feel wronged or hurt.
A case of mistaken identity can lead to confusion.
To avoid this confusion, to be clear, we may ask them to call themselves by
different names or nicknames. Each Catherine could be asked to use a middle name
instead. Alternatively, we could have a Catherine I and a Catherine II. Which
one gets to be I and which one gets to be II is a problem beyond the scope of
this text.
Names and shorthand notation can be chosen in any way we please. In the
modern classroom, many students have identification numbers besides their own
names. Would student numbered or labeled 7281170 identify him- or herself?
It is a challenge for mathematicians to invent a shorthand notation which
can be read aloud without ambiguity.
Chapter Sections: [ 12 Symbols & Pronouns ] [ 12 Pronouns ] [ 12 Shorthand Usage Guide ] [ 12 Pronouns in Mathematics ] [ 12 Big and Small Letters ] [ 12 Subscripts Etc ] [ 12 An Exercise ] [ 12 Symbols & Numbers ] [ 12 Offspring Naming Conventions ] [ 12 A Review & Answers to Exercise ]
Next Section: 12 Big and Small
Letters
Next Chapter: 13 What's Next
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