From owner-freebsd-chat@FreeBSD.ORG Wed May 22 20:25:31 2013 Return-Path: Delivered-To: freebsd-chat@freebsd.org Received: from mx1.freebsd.org (mx1.FreeBSD.org [8.8.178.115]) by hub.freebsd.org (Postfix) with ESMTP id EA05F833 for ; Wed, 22 May 2013 20:25:31 +0000 (UTC) (envelope-from bounces+449007.33897438.299575@icpbounce.com) Received: from drone130.ral.icpbounce.com (drone130.ral.icpbounce.com [216.27.86.187]) by mx1.freebsd.org (Postfix) with ESMTP id A66F8CD2 for ; Wed, 22 May 2013 20:25:31 +0000 (UTC) DKIM-Signature: v=1; a=rsa-sha1; c=relaxed/relaxed; s=default; d=icontact.com; h=Mime-Version:From:To:Date:Subject:List-Unsubscribe:Content-Type:Message-ID; bh=+oJocX4Glaw7j3lMUgWohptr7vE=; b=TD2r+/Driy0GLZKCR9y0CtcDe8emhXRy4DKuO+Z0UAPlnrG2S+NIBDNoIk5ItAVGPKKiMiq+7eY7 iOmsCnzsyCRKAdZO+hiudGjVav4Ddy21U5Dk1QpjZsz6FZcjCtXoWy9C30sa8GbkCzAtrF2Ls0vG 8Ez3rxIGHm05RyrmVqI= Mime-Version: 1.0 From: "Larry Shiller" To: Date: Wed, 22 May 2013 16:05:07 -0400 Subject: Your May 2013 ShillerMath Tidbit Errors-To: bounces+449007.33897438.299575@icpbounce.com X-List-Unsubscribe: X-Unsubscribe-Web: X-ICPINFO: X-Return-Path-Hint: bounces+449007.33897438.299575@icpbounce.com Message-ID: <0.1.D3.924.1CE5727A843D9AA.0@drone130.ral.icpbounce.com> Content-Type: text/plain; charset = "utf-8" Content-Transfer-Encoding: quoted-printable X-Content-Filtered-By: Mailman/MimeDel 2.1.14 X-BeenThere: freebsd-chat@freebsd.org X-Mailman-Version: 2.1.14 Precedence: list List-Id: Non technical items related to the community List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Wed, 22 May 2013 20:25:32 -0000 Your May 2013 ShillerMath Tidbit by Larry=0AShiller [http://www.icontact-ar= chive.com/F6pSnK7EpoqgJj2XwinVW012kS5zF8k7?w=3D4#fblike][http://twitter.com= /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= j2XwinVW012kS5zF8k7?w=3D4#googleplusone][http://www.icontact-archive.com/F6= pSnK7EpoqgJj2XwinVW012kS5zF8k7?w=3D4#linkedinshare]=0A=0ABringing the bling= 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 [1]shillerma= th.com.=0A=0AYou may republish this Tidbit to your readers, subscribers, PT= 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=0A[2]Answer the puzzl= er!=0A=0A[3]Please like us on Facebook=0A=0A=C2=A9 Larry Shiller. All Right= s Reserved.=0A=0AReferences=0A=0A1. http://www.shillermath.com/=0A2. http:/= /www.shillermath.com/contact-us-2/=0A3. http://www.facebook.com/ShillerMath= =0A=0AThis message was sent to freebsd-chat@freebsd.org from: ShillerMath | 258 Thunder Lake Road | Wilton, CT 06897=0A=0AManage Your Subscription:=0Ahttp://app.icontact.com/icp/mmail-mprofil= e.pl?r=3D33897438&l=3D20165&s=3DIH2K&m=3D299575&c=3D449007=0A=0ASend To a Friend: =0Ahttp://app.icontact.com/ic= p/core/message/forward?m=3D299575&s=3D33897438&c=3DIH2K&cid=3D449007=0A=0A=0A