```Date:      Wed, 22 May 2013 16:05:07 -0400
From:      "Larry Shiller" <tidbits@shillermath.com>
To:        <freebsd-chat@freebsd.org>
Subject:   Your May 2013 ShillerMath Tidbit
Message-ID:  <0.1.D3.924.1CE5727A843D9AA.0@drone130.ral.icpbounce.com>
```

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```Your May 2013 ShillerMath Tidbit by Larry=0AShiller [http://www.icontact-ar=
/share?url=3Dhttp%3A%2F%2Ficont.ac%2F1Li5Y&text=3DMath+curriculum+and+bling=
%3F+Researchers+say+it+matters%21+http%3A%2F%2Fbit.ly%2F12vnGvz+%23Montesso=
ri+%23math&via=3DShillerMath][http://www.icontact-archive.com/F6pSnK7EpoqgJ=
to math=0A=0ANot all manipulatives are created equal=0A=0AUniversity of No=
tre Dame Associate Professor of Psychology Nicole McNeil studies=0Ahow chil=
dren learn (or don't learn) math. She just came up with some fascinating=0A=
results that have repercussions for parents who want their preschoolers to =
learn=0A- and love - math.=0A=0AManipulatives work - but only when they are=
unfamiliar to the child. When=0Achildren know a manipulative and its purpo=
se, they focus on that - and not on=0Aits alternative purpose in helping to=
learn math.=0A=0AWhen a child doesn't know a manipulative, what the author=
s call "perceptual=0Arichness" takes place - a good thing because it brings=
more parts of the brain=0Ato bear on the mathematical concept and not on a=
ny pre-conceived notion of what=0Athe manipulative normally does.=0A=0AIn o=
ther words, when it comes to preschooler math manipulatives, don't use that=
=0Athing if it don't have that bling.=0A=0AFunny bone=0A=0AThey said it=0A=
=0AIt's a lot of bling to play with. You got to have the bling. Serena Will=
iams=0A=0AWhen girls are asking themselves "Who am I?" for the first time a=
nd they hear=0Aall this bad PR about math, they think, "Well, whoever I am,=
I'm not somebody=0Awho likes math." Danica McKellar=0A=0AMath: The only pl=
ace where a person can buy 80 watermelons without anyone=0Athinking they're=
a weirdo. Anonymous=0A=0ABrain booster=0A=0AMay 2013 Puzzler [Grades 4-8]=
=0A=0ASay you divide a circle into many equal parts by drawing line segment=
s from the=0Acenter to points on the circle. If no two line segments form a=
diameter, what=0Acan you say about the number of parts?=0A=0AProvide the c=
orrect answer by May 25, 2013 to be this month's puzzler winner.=0A=0AAnswe=
r to previous Puzzler [Grades 10-12]=0A=0AWhy is it true that a number whos=
e digits sum to a multiple of 3 will also be=0Adivisible by 3 (and vice ver=
sa)?=0A=0ASolution:  Here's a proof for 3-digit whole numbers, which can be=
generalized to=0Awhole numbers of any size:=0A=0AThe number abc may be rep=
resented as 100*a + 10*b +1*c. For example 485 is 100*4=0A+ 10*8 + 1*5. But=
100*a + 10*b + 1*c is the same as (99+1)*a + (9+1)*b +=0A(0+1)*c, which is=
99a + 9b + (a+b+c).=0A=0A99a + 9b is always multiple of 3. So if a+b+c is =
a multiple of 3, abc is a=0Amultiple of 3 and otherwise not; and if abc is =
a multiple of 3, so is a+b+c and=0Aotherwise not.=0A=0AI hope you enjoyed t=
his short math break.=0A=0ASincerely,=0ALarry Shiller=0ALarry Shiller=0A=0A=
Publisher=0A=0AMay special: Save \$25 on any kit and get free shipping anywh=
ere. Use promo code=0AKITSAVE25. Expires May 31, 2013. Only at shillerma=
A/PTO/homeschool=0Agroup and association members, and fellow parents and ed=
ucators at no charge. If=0Ayou reprint this Tidbit in a newspaper we just a=
sk that you send or email us a=0Acopy (PDF is OK).=0A=0AAnswer the puzzl=