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Math Forum June
1995 Hot Spot: 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; ...
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Cornell
Theory Center, Fall1995. 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.
The Cornell Theory Center and the Math Forum provided the first two
links to this site.
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Magellan, the McKinley Internet Directory, 1996:
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
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Math Forum News Letter, November 25, 1996 ....
mathematics appetizers range over arithmetic review problems,
notions of what variables are, skills leading to algebra, painless
theorem proving, complex numbers with some trig, the importance of
slope (some calculus), a decimal perspective of error control and
continuity (more calculus), and renaming the greater than sign (back
to algebra). // Advice on how to read, how to learn, why go to
school, etc. ... included. The tone is sometimes funny, and
the writing is dense, rich, and intriguing. There are reflections on
teaching, so these materials can be used in the classroom and as a
place for teachers to learn. // ... explanations of
mathematical concepts using words and stories are particularly
strong. ...
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Education
Planet Newsletter, top math sites, 2001: ... The commentary and
online books available at this site 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 themselves. There is also information here for parents
as well as teachers. Now you can help your students gain insight
into mathematics rather than just helping them memorize formulas.
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Math Forum News Letter: Aug, 2001. ...
new sections on Complex Numbers and the Distributive Law
for Complex Numbers offer a short way to reach and explain:
There are five different ways for learning and
teaching complex numbers and trig in site pages.
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The
NSDL Scout Report for Mathematics, Engineering, & Technology --
Vol. 1, No. 8 (May 2002) 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, [criticism]
This does not take away from the quality of the information, though.
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The
NSDL Scout Report for Mathematics Engineering and Technology-- Vo.
4, No. 4 (Feb. 2005)
[A new] section of the website, 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. Links to
related [online] chapters ... are also provided.
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The
World-Wide Web Virtual Library Education by Country - Canada,
Nov. 2005. Why Slopes: This online classroom
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. The logic
appetizers are math free. Each appetizer is different. If one is not
to your liking try another. Most are from three books on
understanding and explaining math and reason.
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