Site Reviews
1995 -Math Forum June Hot Spot:
Alan Selby's Lessons and Appetizers for Math and Logic Three Skills For
Algebra (a first image of mathematics after arithmetic - why letters or
symbols are favored in algebra in place of numbers); Two logic puzzles to
show the difference between a one-way and a two-way rule; Painless
Theorem Proving; Longer Chains of Reason: What is Mathematical
Induction?; Complex numbers Etc. - A geometrical story based on the
addition and multiplication of arrows in the plane; Chains of Reason -
math-free examples of rule-based reasoning; How Logic or Rule-Based
Reason Appears in Math; VNR Concise Encyclopedia of Mathematics. Also
Appetizers on Other WWW Pages.
1995 -
Cornell Theory Center,
Several puzzles and short discussions to help students understand algebra
and proofs. If you don't like the first one you look at, try another;
they're all quite different.
1996 - Magellan, the McKinley
Internet Directory:
Mathphobics, this site may ease your fears of the subject, perhaps even
help you enjoy it. The tone of the little lessons and "appetizers" on
math and logic is unintimidating, sometimes funny and very clear. There
are a number of different angles offered, and you do not need to follow
any linear lesson plan. Just pick and peck. The site also offers some
reflections on teaching, so that teachers can not only use the site as
part of their lesson, but also learn from it.
2000 - Waterboro Public Library, home schooling section:
CRITICAL THINKING AND LOGIC ... Articles and sections on topics such as
how (and why) to learn mathematics in school; pattern-based reason;
finding a number; solving linear equations; painless theorem proving;
algebra and beyond; and complex numbers, trigonometry, and vectors. Also
section on helping your child learn ... . Lots more!
2001 - Math Forum News Letter 14,
... new sections on Complex Numbers and the Distributive Law
for Complex Numbers offer a short way to reach and explain:
trigonometry, the Pythagorean theorem,trig formulas for dot- and
cross-products, the cosine law,a converse to the Pythagorean Theorem
2001 - Education Planet
Newsletter, top math sites:
What are the ideas behind most high school math? ... commentary and
online books ... provide a very rich guide to mathematical reasoning and
high school math to calculus. The emphasis here is on the thinking
part of math rather than the actual manipulations . ...
2002 - NSDL Scout Report for Mathematics, Engineering, Technology
-- Volume 1, Number 8 :
Math resources for both students and teachers are given on this site,
spanning the general topics of arithmetic, logic, algebra, calculus,
complex numbers, and Euclidean geometry. Lessons and how-tos with clear
descriptions of many important concepts provide a good foundation for
high school and college level mathematics. There are sample problems that
can help students prepare for exams, or teachers can make their own
assignments based on the problems. Everything presented on the site is
not only educational, but interesting as well. There is certainly plenty
of material; however, it is somewhat poorly organized. This does not take
away from the quality of the information, though.
2005 - The
NSDL Scout Report for Mathematics Engineering and Technology -- Volume 4,
Number 4:
... section Solving Linear Equations ... offers lesson ideas for
teaching linear equations in high school or college. The approach uses
stick diagrams to solve linear equations because they "provide a concrete
or visual context for many of the rules or patterns for solving
equations, a context that may develop equation solving skills and
confidence." The idea is to build up student confidence in problem
solving before presenting any formal algebraic statement of the rule and
patterns for solving equations. ...
2005 - Irem
Lyon-Sites-Outils mathématiques:
... Pour les mathématiques, ce site veut nous ouvrir l'appétit; noble
objectif qui est réalisé par des cours de tous niveaux, de l'addition de
trois naturels à des choses plus élaborées (par exemple un cours sur les
nombres complexes avec une appliquette efficace). ...
2005 - All.info
Science and Health - Math - Books -:
Since July 1995, this ... site has been offering ... lessons to aid and
REFORM instruction in mathematics, logic and science. ... Math-free
lessons on Euclidean Logic may lessen gullibility while developing
precision reading and writing. ...
2005 - World-Wide Web Virtual
Library Education - Canada :
... offers appetizers and lessons for math from arithmetic to calculus or
why slopes; for deductive reason (logic) and critical thinking; and for
learning in general. Included here are opinions on the communication of
skills and mathematics instruction. ... Each appetizer is different. If
one is not to your liking try another. Most are from ... books on
understanding and explaining math and reason.
Complete Record Details
2010 - Math
Forum Internet News No. 15.2:
... revised and greatly expanded the section on fractions and ratios,
organizing it under these topics: - Fractions - Fractions with Units
(arithmetic algebra with units) - Ratios and Fractions (or ratios versus
fractions) - Proportionality Relations Forwards and Backwards ...
2010 - Math
Forum Internet News No. 15.39:
WHYSLOPES.COM UPDATED
Since we last featured the complex numbers section of Alan
Selby's site "Appetizers and Lessons for Mathematics and Reason"
in March this year, he has added a new section, Mathematics
Education Revisited - mathematics_education_essays.
Selby has also included a section called POMME: Progressive
Observable Motivated Mathematics Education, which he describes
as "a two-level program for practical mathematics instruction."
2011 Newsletter - Math
Forum Internet News No. No. 16.7 (18 Feb 11) :
WHYSLOPES.COM REVAMPED:
Alan Selby has overhauled his website of "appetizers and
lessons for mathematics and reason." Look for the math formulas
neatly typeset with LaTeX, Flash videos, and other rich media
supported by his new content management system.
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For home-tutoring or -schooling, or for schools or colleges
with course content control: Secondary
Mathematics for Ages 11+, A Practical Approach.
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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