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*To*: arn-l@interversity.org*Subject*: Re: query*From*: Rick Parkany <rparkany@borg.com>*Date*: Sat, 10 May 2003 13:11:56 -0400*Cc*: azble@asu.edu, multied-l@usc.edu, flsst@yahoogroups.com*Organization*: Prometheus Educational Services*References*: <2b.3f6e194d.2bee746b@aol.com>

Quan interjected:

> Jerry:

> This is why ELL and American learners cannot pass the math sections, whose

> standards they have already mastered. There is more language to mathematics

> than meets the eye.

>

Rick reinforces by reminding us:L

That's why I teach mathematics *from the getGo* as a language, _per se_, at every

level (K-grave) as I mentioned previously, this list, no matter in WHAT language

it is accomplished, whether technical symbol sets and grammars or the more

natural language narratives explaining the inferences that make *answers*

correct--even for so simple a problem as 2 + 2 = 4, the learner should be able to

rephrase the answer, by justfying it (for example, by procaliming that since 1 +

1 = 2 and you add two twice, you get four, or by the use of manipulatives (not

the usual *rote* algorithm, and much harder levels of understanding to *test*

w/MC, fer sure!)--too few math teachers stress the discursive aspect of the

domain and treat it as a canonical taxology of facts and proceedures. And fewer

yet tests *test* for this aspect of discusrsively generating rationales for your

answers (aka good old fashioned *rhetoric* from the Trivium/Quadrivium

currivcula)... ;-} rap.

QCao009@aol.com wrote:

> In a message dated 5/10/03 11:01:37 AM Eastern Daylight Time,

> gbracey@erols.com writes:

>

> > "Each of the graphs in the preceding article shows a definite relation

> > between two quantities such that when one is known the other can be found

> > either by experiment or by computation. These quantities are usually

> > represented by certain symbols such as p,v,x,y, etc, and are called

> > variables.

> >

> > DEFINITION: a variable is a symbol which may represent an indefinite

> > number of values throughout a particular discussion.

> >

> > For example, in the equation A =pi X R squared, A and R are variables and

> > represent the area and radius, respectively, of a circle. When A is

> > expressed in terms of R, R is called the independent variable and A the

> > dependent variable or function of R. In general, we may give the following

> > definition:

> >

> > If a variable y depends another variable x, so that whe a value of x is

> > known, y is determined, then y is called a function of x.

> >

>

> Jerry:

>

> This is why ELL and American learners cannot pass the math sections, whose

> standards they have already mastered. There is more language to mathematics

> than meets the eye.

>

> I would guesstimate this is written at a 9th grade reading level, but I have

> seen similar items on graduate level entrance exams. And then test

> development companies bring in cultural expert reviewers, who start walking

> around like blind (wo)men touching an elephant to attest to cultural and

> gender relevancy, without understanding that there now exists a cultural gap

> between their generation and that of the students as well. It is race, and

> it is not race!

>

> Quan

>

> -------------------------------------------------------

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--

"Dein Wachstum sei feste und lache vor Lust!

Deines Herzens Trefflichkeit

Hat dir selbst das Feld bereit',

Auf dem du bluehen musst." JS Bach: Bauern Kantata

Richard A. Parkany: SUNY@Albany

Prometheus Educational Services

http://www.borg.com/~rparkany/

Upper Hudson & Mohawk Valleys; New York State, USA

**References**:**Re: query***From:*QCao009@aol.com