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Date:      Sat, 1 Apr 2006 22:25:38 +0200
From:      Danny Pansters <danny@ricin.com>
To:        freebsd-chat@freebsd.org
Subject:   Re: Your ShillerMath Tidbit
Message-ID:  <200604012225.38947.danny@ricin.com>
In-Reply-To: <7.0.1.0.2.20060331230224.098779f8@lariat.org>
References:  <20060401032818.27086.qmail@borg.phpwebhosting.com> <7.0.1.0.2.20060331230224.098779f8@lariat.org>

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On Saturday 01 April 2006 08:04, Brett Glass wrote:
> Why is this spam on the list?
>
> Also, it's worth noting that the author gives the wrong answer to his
> sample SAT question below. The only correct answer is 4 (D), not 5 (E).
> I wouldn't pay $29.95 for a book from an author who couldn't give the
> correct answer to his own sample problem!
>
> --Brett

It probably requires Shiller transformations to be applied :)


> At 02:12 PM 3/31/2006, Larry Shiller wrote:
> >   ShillerMath Tidbits: Getting out of the starting gate
> >
> >   [parentzone.gif]
> >   What to do when you have no idea what to do!
> >
> >   A 1,000 mile journey begins with but a single step...
> >   Have you ever looked at an SAT question and felt like saying, "Help!
> >   I'm clueless!"? You're not alone. Even the brightest and best have
> >   felt the same way. Should this ever happen to you, this sure-fire tip
> >   will get you on your way to math success.
> >   An overwhelming problem typically has a lot of information to process,
> >   and it's not clear how all that information leads to the answer. So
> >   instead of worrying about how to get the answer, start with the answer
> >   and work backwards. Let's see how this might work using a sample
> >   multiple-choice SAT test question:
> >   If x and y are integers and 5x + 2y = 13, which of the following could
> >   be the value of y?
> >   A. 1
> >   B. 2
> >   C. 3
> >   D. 4
> >   E. 5
> >   This problem falls into an interesting branch of mathematics called
> >   Diophantine Equations.
> >   Since this is a multiple-choice problem, one strategy is to try each
> >   answer to see what happens. For example, if y=1 (choice A), 5x + 2(1)
> >   = 13; 5x = 11; x = 11/5. But x must be an integer ("If x and y are
> >   integers..."). So choice A is incorrect.
> >   If y=2 (choice B), 5x + 2(2) = 13; 5x = 9; x = 9/5. But again, x must
> >   be an integer so choice B is incorrect.
> >   After repeating this process for choices C, D, and E, we find that
> >   only choice E satisfies the condition that x is an integer.
> >   If the problem requires a student produced response, you know the
> >   answer will be a number because only numbers can be answers to student
> >   produced responses: You may try the strategy of picking a number (pick
> >   a number, any number!) and working backwards as you did above. As you
> >   work through the problem you'll likely find a way to get the correct
> >   answer.
> >   By working backwards you always have a place to start. And that makes
> >   it more likely you'll have a happy ending!
> >
> >   In the next ShillerMath Tidbit we have another installment in our math
> >   biography series. In the meantime help yourself to [1]Free Downloads
> >   on our web site!
> >   [funnybone.gif]
> >
> >   They Said It...
> >   "There is no royal road to geometry." Euclid
> >   "Mathematics is the queen of the sciences and number theory is the
> >   queen of mathematics." Carl Friedrich Gauss
> >   "...the greater part of our happiness or misery depends on our
> >   dispositions and not on our circumstances." Martha Washington
> >
> >   I hope you enjoyed this short math break.
> >   Sincerely,
> >   [lssig.jpg]
> >   Larry Shiller
> >   Publisher
> >   Been thinking about ShillerMath but just wanted to start with just one
> >   year's worth of material? [2]YES! Get individual lesson plan books for
> >   as low as $29.95!
> >   Did you enjoy this Tidbit? Please tell your friends, family, and
> >   fellow parents, teachers, librarians, and local homeschool groups.
> >   Thank you for [3]spreading the word!
> >     _________________________________________________________________
> >
> >   What is ShillerMath?
> >   ShillerMath publishes research-based homeschool math curriculum,
> >   music, and manipulatives for ages 4-12, with beautifully designed
> >   lessons, diagnostic tests with answer keys, catchy math songs, and
> >   Montessori-based manipulatives. No Montessori or math knowledge is
> >   required and there's zero lesson preparation - just read what's in
> >   quotes and you're good to go! Students using this approach
> >   consistently outperform their peers. Larry Shiller, ShillerMath
> >   founder and President, has a math degree from MIT. The ShillerMath
> >   curriculum includes authoritative materials and lessons used by
> >   thousands of Montessori schools worldwide and is the math curriculum
> >   of choice for thousands of homeschoolers nationwide. Visit the
> >   [4]ShillerMath site for all the details on this proven and amazingly
> >   effective product.
> >
> >   If you no longer wish to receive ShillerMath emails please [5]click
> >   here to unsubscribe.
> >
> >   ShillerMath never sells or rents emails:
> >   [6]http://www.shillermath.com/privacy_popup.php
> >
> >References
> >
> >   1.
> > http://www.shillermath.com/page1.php?em=freebsd-chat@freebsd.org&src=tidb
> >it20060401 2.
> > http://www.shillermath.com/page1.php?src=tidbit20060401&email=freebsd-cha
> >t@freebsd.org&url=cart.php 3.
> > http://www.shillermath.com/page1.php?src=tidbit20060401&em=freebsd-chat@f
> >reebsd.org&url=recommendnews.php 4.
> > http://www.shillermath.com/page1.php?src=tidbit20060401&em=freebsd-chat@f
> >reebsd.org 5.
> > http://www.shillermath.com/unsubscribe.php?Unsubscribe=freebsd-chat@freeb
> >sd.org 6.
> > http://www.shillermath.com/page1.php?src=tidbit20060401&em=freebsd-chat@f
> >reebsd.org&url=privacy_popup.php
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