Negative Talk May Harm Motivation
In a 1988 junior college mathematics course, I found myself facing a
student whose aim in my class to obtain the borderline mark of 60% to
pass. In challenging his lack of effort directly and trying to explain
why he needed to study mathematics for his future plans to become a
police officer, I found that I was the first to confront him on his lack
of will and effort and that his mother had said mathematics after
arithmetic was a waste of time.
The latter remark is understandable. In course design and delivery reaps
what it has sown. For too many years, secondary mathematics in covering
mathematics after arithmetic has had technical difficulties in
introducing algebra. Secondary mathematics has immersed students in
skills and concepts whose presentation when done well may be
algebraically and logically correct, but whose presentation is unclear
because of a lack of systematic development of algebraic and logical
skills. For many students and many of their mathematics teachers, many
unversed in mathematics, the sole apparent reason for skill and concept
mastery is preparation for the next final examination. Year after year,
decade after decade, The latter has left a poor impression of mathematics
education on high school leavers and graduates - the parents of today's
high school and college students included. So aversion to mathematics may
be inherited. Site ideas on emphasizing skills and practices with clearer
value for adult and daily life may ease or remove that aversion and lack
of context for mathematics education.
For Positive and Active Learnings
Talk to your children and teens. Ask them about their school days. See if
they are passive learners - working to rule - doing the least amount
possible, or opposing their own instruction. Regardless, encourage your
offspring to be positive, independent, self-directed learners, learners
actively and deliberately seeking to obtain and perfect skills and
knowledge - alone or with help from readings, tutors and teachers.
Teachers may meet dozens or hundreds of students each week, and so have
not the time nor inclination to be personal tutors. So active cooperation
with attention to details, the will to listen and try instead of passive
or overt opposition or resistance to education, will all help your
charges in school and out.
Your children and teens have decisions to make. Whether to try or not, to
cooperate in their own education is one of them. The proper choice may be
harder when a teacher is not charming but the decision still has to be
made. So talk to your children and teens. Ask them about their school
days, and guide them if you can. In raising kids, if you are unlucky,
there may be two difficult even stormy periods during the horrible two's
and the horrible teen years. Wait for the storms to pass, if you can.
Giving your child or teen the will to learn counts more for his or her
education than being well-educated yourself. Students with limited gifts
or abilities with the will to learn and to keeping trying may go further
than student with many gifts. Much depends on will, effort and the chance
to study, preferably with clear material.
Do not be Negative - Find a silver lineing.
A teenager planning to become a policeman said he did not work at
learning mathematics, that he was doing the least possible (in fact less)
to pass, since his mother had told him, mathematics after arithmetic was
a waste of time. My late or too late objection to that came as a surprise
- no earlier teacher had done that. For students to do better in school,
they need parents who value education and say so repeatedly for the sake
of motivation, especially when and where immediate take-home value is
missing - not self-evident. While I disliked writing essays and book
reports as a teen, had difficulty deciding what to writing, I would not
today tell any child of mine that reading and writing skills, and
understanding the characters in book or play, is unimportant. With the
passage of time, I might have acquired the maturity to do well and avoid
the misery of my earlier high school days in expressive and creative
subjects.
Help your child with Mthematics and Essays
Help your child with homework without always doing it for them. With
school work, your objective should be for the child or teen to write as
much as possible alone, or with a few kind hints, while you encourage the
greatest possible independence. In mathematics, the vertical alignment of
equal signs in evaluatio of formulas and arithmetic expressions provides
a pattern to follow and encourage. For good work habits, it will help
your teenager or pre-teen do and record work in steps that can be seen
and checked, and make the domino effects of care and mistakes easier to
see and correct.
When you child or teens writes an essay, point out mistakes in spelling
and sentence structure. Say when sentences are too long, run on and on,
or include too many ideas. While writing that, I fear that the advice is
not always not followed in site material. So do as I say, not as I do.
Writing essays will be easier for teen or pre-teen if there is a story to
tell. In the case of a writing block, ask your son or daughter leading
questions: Do they have a story, a chain of reason, a chain of
instructional steps to present, or a collection of examples, to present
in an organized manner. In writing as in packing a suitcase, the order of
packing is not important as long as all is packed. Other times, sequence
is important. Further say, if the son or daughter cannot answer the
question posed by their teacher, than they should improvise by picking a
topic, close or far, to demonstrate and practice their writing and
story-telling skills, fictional or not, in a technical or non-techical
area. In that the aim is to produce a work of art, fiction being easier
and requiring less rigour than non-fiction. If you teen is lucky, his or
her teacher may accept a good essay, on topic or close. As a rule of
thumb, producing one is better than producing none.
Learning from and Correcting Mistakes - Before Submission
How to limit your help. For the sake of your sons or daughters mark, you
or a tutor may help more initially. But eventually, your son or daughter
should do more and more. In doing writing for mathematics or for
producing an essay, the objective is for your son or daughter to
eventually learn how to independently produce so well in correct,
well-formated manner. You or tutor may help by identifying errors in
form, content and logic well-ahead of the homework or assignment due
date. You son or daughter may have to learn that not corrrecting the
errors will lead to lower mark.
Remember on tests and final examinations in school, your son or daughter
will be alone. So the aim of help from a parent, sibling or tutor should
be independence - show how to mathematics and write essays alone, and
identify errors small and large. The aim is for your son or daughter to
learn from them in order for errors to be caught and corrected before
submission and in order for like errors to be avoided in future written
work. Good luck.
Postscript: Advice-Summary for Young Writers
Teachers are not interested in what you say or think. They are interest
in developing and/or observing skill. You do not have to put your heart
into your words - use your head instead: Teachers are interested in how
you write: Do your words tell a story or present a theory which others
can follow in steps or pieces that other may follow? Are your words
presented carefully without spelling and grammatical errors?
You are presenting written work to teachers not only for grades or marks,
but also for corrections, to learn where you are making mistakes in
content and format. But that learning from mistakes could take place
before you hand in your work if you ask others to identify errors, small
or large, in your work that you may correct before giving your work to
your teacher, and mistake or lack of quality penalized. The reward for
this extra attention to detail may be higher marks, justified we hope by
the fact that have learnt from correction or feedback of others.
And in essay writing, if you have a mental block for an assigned topic,
you have nothing clear to say about it, talk to others to see if you can
unblock, and failing that write about another topic to exercise and
demonstrate your story or argument telling or development skills, and to
exercise demonstrate your spelling and grammatical skills, all in the
hope that your instructor kind - preface the essay with words to say you
had a writing block. The foregoing advice is more easily followed in
writing essays than it is in answer given mathematics questions. That's life.
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Teachers & Tutors: Site pages offer better or best practices for providing skills -
simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in
groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do.
Others are welcome to refine or exceed it. Please do.
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.
-
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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