2 Arithmetic with Decimals
§ A Decimal Counting and Adding Methods:
§ B Decimal Comparing and Subtracting Methods:
§ C Decimal Multiplication Methods:
§ D Decimal Long Division Methods:
Notes
Four site section with 40 lessons and more than 40 flash videos lessons
follow. These lessons offer tutors and instructor background information
for use in lesson planning and delivery. Instructor should also see the
earlier account of decimal place value. The account below include
thought-based developments. The extra details in the accounts will help
some students but be overwhelming for others. Therefore the details
should be emphasized only where it helps with method mastery.
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Decimal Counting and Adding Methods folder includes two
accounts, one Appendix 2 and one in the preceding 8 lessons. Each
account has its own flaws and merits.
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Decimal Comparing and Subtractin Methods folder offers 9
lessons, three standalone videos to develop and explain column methods
for comparing and subtracting whole numbers and decimal fractions.
Appendix 2 by itself represents a second account.
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Decimal multiplication Methods folder in 11 lessons and two
appendices again gives two parallel accounts of multiplication methods
for decimal representation of whole and mixed numbers - decimal
fractions included.
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long division methods in 12 lessons and 2 parallel appendices
includes two accounts of two versions of long division. The first
version for whole numbers gives integral whole numbers, quotients and
remainders. The second version calculates quotients to one or more
places after the decimal point.
Decimal notation and methods for counting, comparison and arithmetic are
met in primary school and should be reviewed and mastered in full by
students 12 to 14 years of age in school. In that, seeing the domino
effect of errors and learning to do and record steps carefully in
multistep methods has value work and study, as well as take-home.
Site accounts of counting and arithmetic with decimal may serve as a
reference for skill development with full or partial comprehension, in
accordance with needs and abilities. While higher mathematics values
comprehension and depends on it, elementary mathematics will greater take
home and long-term value if students learn about the domino effects of
errors in arithmetic, and also learn how to do and record their work in
an observable and verifiable or recordable manner. In arithmetic and in
all further subjects, skill and competence needs to be observable in
order to shown and mastered. Just as skill in cooking does not require a
mastery of theorectical chemisty, skill in arithmetic does not require
full comprehension of all steps - that option can be left for gifted or
older students.
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Secondary
Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges
with local curriculum control. Study how to include site content - its skill development how-TOs and innovations
into present or future lesson plans - some reading required.
Road
Safety Messages and Questions: When and why should you face
traffic when walking along a road or cycle path? Is it a good
idea to hang limbs outside of cars etc? What gives more
protection in a crash: a car, motorbike or bicycle?
See too, the BBC-Belgium story Texting and
Driving - texting & the impossible test - the article links to a gruesome utube video on the subject
The Logic of Injustice:
How Texas sent
an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for
justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning
first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon
due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions
by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate
is not compensation for years or decade
of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern
Based Reason may slowly lead to greater precision in reading, applying and
writing laws.
May 2012, Composition Starting:
Pre-School and Primary Mathematics - Quantitative Skills, An
Intellectual View, Feedback Welcome:
The 8 Most Popular Site Inlinks
Parent Center: Help your child or teen
learn:
Parent-friendly
Work Booklets for ages 3+ to 13 Use these or others to check
or build skills. Other booklets are available but these booklets
allow parents unsure of themselves in mathematics to help their
children. The selection acquired in Canada is published in the
USA. So it has a US orientation. In retrospect, the selection
shows parents what to check with the booklets or by other ways,
the choice is theirs. But in retrospect, the selection does not
cover integral and fractions liquid weights and measures - ask
the publishers to correct that! For ages 9 to 12 say, parents may
compensate by showing boys and girls how to use weights or mass,
and further measures in food preparation. Beyond that children
may be shown how to measure and calculate angles, lengths and
areas [proportional amounts too] directly or by using maps and
plans drawns to scale. Learning how to gather and measure all the
ingredients, pots and pans for a dish or a meal, along with
cleaning up sets the stage for like activities or experiments in
science courses, and in developing organizational skills,
gives boys and girls a head start. Good luck. At the other
extreme, more comprehensive than light, if your motto is
McCainian: drill, drill, drill then Toronto
mathematician and actor John Mighton's jump math organization has jump math
workbooks for at least grades 3 to 8 for at-home and in-school
use - training sessions for teachers available. Jump math has
been expanding to cover older students. Jump Math Samples: plus
Fractions for
Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8
[unread - likely to be good]. and
Mathematics
Skills For Ages 3 to 14 - technical!
Skills with take
home value - A few ideas
Basic skills include
time-date-calendar Matters; money matters; map, plan and
scale diagram matters;counting, measuring and figuring;
decision making with logic and likelyhood; being careful and
being aware of the domino effect of mistakes; reading and
writing with precision.
Is your child able to add, subtract and multiply amounts
of money, work with fractions, work with clocks and calendars,
work with maps and plans, and measure length, weight-mass and
volume? Schools may promote your son or daughter without
providing basic skills in reading, writing and
arithmetic.
Arithmetic
and Number Theory Skills
Algebra
Starter Lessons
Geometry
- maps plans trigonometry vectors
More
Algebra
70
Calculus Starter Lessons
Calculus Lessons Elsewhere:
-
How to Ace Calculus: Street Wise Guide - Mostly
Text.
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Flash
Video for Calculus Phobics
They cover basic topics in ways likely to complement your
notes, your textbooks and site material. When Goldilocks
trespassed in the house of the three bears, she found three bowls
of porridge, two not to her liking, and one just right. Different
bears have different tastes. As invited guest here and elsewhere,
if one or more explanations is not to liking, try another. It may
be better or just right.
Unsolicited Advice
Learning to do and high marks if it comes to easy is often
deceptive - light rather than deep. For that reason, students
with learning difficulties determined not to let it get in their
way may go deeper and farther than those with none. High marks,
if the come easy, may be deceptive - provide a too light and not
a deep mastery. That could have been your problem in secondary
school, one that leads to comprehension shock or difficulties in
calculus and more generally in the first year of college. Bon
Appetite.
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