1. Doing them:

Use an indirect proof to prove that the conclusion is true.

If p is an integer and p

^{2}is divisible by 2, then p is divisible by 2. (Hint: An odd number can be written as 2n + 1, where n is an integer. An even number can be written as 2n.) If a < b, then a + c < b + c.

If ac > bc and c > 0, then a > b.

(From McDougal & Littell's Algebra I, p. 703; a traditional text).

2. Writing about them; doing easy, concrete ones; and conducting interdisciplinary research:

Name and describe three forms of proof.

Prove that if 7x - 3 = 25, then x = 4. Write a two-column proof.

Research Edgar Allan Poe may be best known for his horror stories, including "The Pit and the Pendulum," and for his poetry, including "The Raven." He is also highly regarded as a lierary theorist and as a short story writer.

Edgar Allan Poe set out guidelines for the use of ratiocination in what was to become the modern detective story. Find out what he meant by ratiocination and how he used it in mystery stories such as "The Murders in the Rue Morgue."

(From McDougel and Littell's Integrated Math, p. 407; a reform text).

## 4 comments:

i'm not at all sure what

you're getting at in this post.

but it looks like as good a place

as any to make a few general remarks.

thanks for stepping up in defense

of the groups described in your sidebar.

i'll happily identify as a

math buff, overwhelmed by multi-media;

of *course* i prefer reading to partying;

that i shy away from large groups

and don't work well in groups

could be considered comical understatements.

and there's damn sure a lot of bias

*against* these attitudes ...

in the culture at large and in

mathematics education in particular

(yes, even against "math buffs" --

the party line is "remove math

from math classes; not everyone

is going to be a professional

mathematician, you know!" --

lefty is aware of this of course;

this bit's just to mention

that i'm aware of having seemed

to contradict myself).

moreover, your experience (lefty)

with autism in your own family

and professional experience in

working with autistics are not

to be dismissed; you're bringing

a lot of much-needed perspective

to the discussion in my opinion.

and you've even made it clear

that you're using "left brain"

metaphorically ... for which,

much thanks.

so just please *be careful*.

recent years have seen a huge growth

in bullshit-about-brains

and it seems to me that you're

in real danger of giving the enemies

of reason a pretty plausible excuse

for dismissing your arguments.

here's a post on the skolnick effect

from about a year ago; i've only recently

become aware that this phenomenon

has a name (and was sure relieved

so to discover).

meanwhile, keep it coming!

you're doing good work here ...

yrs in the struggle. vlorbik

vlorbik,

Thanks so much for your thoughts--esp. as a fellow "left-brainer"! And for your caveat about the use of this term....

Hmm... I've been hoping that the disclaimer on the side bar will prevent my detractors from using my metaphorical appropriation of brain terminology against me. But perhaps I'm being overly optimistic? Any suggestions on how better to cover my a**? Perhaps repeated links to the sidebar every time I use the term?

In general, it has often struck me that, no matter how careful you are, those who oppose you--particularly if they have no substantive argument--will find a way to quote you out of context, and I know I'm very vulnerable to this.

Thanks again for your words of support.

Thanks also, vlorbik, for the very interesting link to the Skolnik effect. I wasn't familiar with the term either, but it names an important phenomenon.

Now I'm wondering whether there's a term for the legitimacy conferred by mathematical terminology to works by literary & social theorists--e.g., that critiqued by "Fashionable Nonsense".

Or for the appropriation, by same, of linguistic terminology--e.g., "deep structure"?

isabel GPD posted

a few months ago about

"mathification" (citing _language_log_,

strangely enough [as i did upthread

on a different subject]).

we've recently seen "mathefication"

(spelled differently) at KTM.

neither of 'em is quite what

you're describing, though ...

maybe the field's wide open

("the OILF phenomenon").

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