http://clipmarks.com/clipper/rmowery/clipcast/Mathematics/http://rss.clipmarks.com/clipper/rmowery/clipcast/Mathematics/15Clip, tag and save information that's important to you. Bookmarks save entire pages...Clipmarks save the specific content that matters to you!en-ushttp://clipmarks.com/clipmark/C9F03C81-1A1D-412A-A2DC-024920B2EB39/<b>clipped by:</b> <a href="http://clipmarks.com/clipper/rmowery/">rmowery</a><br><div border="2" style="margin-top: 10px; border:#000000 1px solid;" width="90%"><div style="background-color:"><div align="center" width="100%" style="padding:4px;margin-bottom:4px;background-color:#666666;overflow:hidden;"><span style="color:#FFFFFF;font-weight:bold;">Clip Source: <a style="color:#FFFFFF;" href="http://37signals.com/svn/archives2/thinking_diagonally_with_multiplication_grids.php" title="http://37signals.com/svn/archives2/thinking_diagonally_with_multiplication_grids.php">37signals.com</a></span></div><div style="padding: 10px;"><div style="text-align:left;"><H2>Thinking diagonally with multiplication grids <span class="nobreak"><span class="author">Jason</span> <span class="date">22 Sep 2006</span></span></H2></div></div><hr size="2" color="#666666" /><div style="padding: 10px;"><div style="text-align:left;"><P>Yesterday’s Chicago Tribune ran <a href="http://www.chicagotribune.com/news/nationworld/chi-0609210096sep21,1,3227317.story">an article about teaching math in school</a> [registration required] that included something I’d never seen before: The multiplication grid.</P></div></div><hr size="2" color="#666666" /><div style="padding: 10px;"><img src="http://clipmarks.com/image_cache/rmowery/512/A626BA32-1894-4A31-A263-2DAD99DE1C07.jpg" alt="" /><br /></div><hr size="2" color="#666666" /><div style="padding: 10px;"><div style="text-align:left;"><P>I don’t have any idea if this is better/worse/harder/easier, but I just found it interesting. It’s refreshing to see alternate solutions (grid) to more common approaches (stacked).</P></div></div></div></div><br><div style="margin-bottom: 40px;">Tags: <a href="http://clipmarks.com/tags/math/" rel="tag">math</a>, <a href="http://clipmarks.com/tags/education/" rel="tag">education</a>, <a href="http://clipmarks.com/tags/mulitplication/" rel="tag">mulitplication</a>, <a href="http://clipmarks.com/tags/gelosia+method/" rel="tag">gelosia method</a>, <a href="http://clipmarks.com/tags/learning/" rel="tag">learning</a></div>http://37signals.com/svn/archives2/thinking_diagonally_with_multiplication_grids.phpWed, 27 Sep 2006 21:11:05 GMThttp://clipmarks.com/clipmark/9AC5151C-E20D-4B20-AB4D-7D25F0AAB9C1/<b>clipped by:</b> <a href="http://clipmarks.com/clipper/rmowery/">rmowery</a><br><div border="2" style="margin-top: 10px; border:#000000 1px solid;" width="90%"><div style="background-color:"><div align="center" width="100%" style="padding:4px;margin-bottom:4px;background-color:#666666;overflow:hidden;"><span style="color:#FFFFFF;font-weight:bold;">Clip Source: <a style="color:#FFFFFF;" href="http://www.newsvine.com/_news/2006/08/11/339534-you-are-made-of-space-time" title="http://www.newsvine.com/_news/2006/08/11/339534-you-are-made-of-space-time">www.newsvine.com</a></span></div><div style="padding: 10px;"><div style="text-align:left;"><H1 id='articleHeadline'>You are made of space-time</H1></div></div><hr size="2" color="#666666" /><div style="padding: 10px;"><div style="text-align:left;"><P class='leadin'>LEE SMOLIN is no magician. Yet he and his colleagues have pulled off one of the greatest tricks imaginable. Starting from nothing more than Einstein's general theory of relativity, they have conjured up the universe. Everything from the fabric of space to the matter that makes up wands and rabbits emerges as if out of an empty hat.</P></div></div><hr size="2" color="#666666" /><div style="padding: 10px;"><div style="text-align:left;"><P>It is an impressive feat. Not only does it tell us about the origins of space and matter, it might help us understand where the laws of the universe come from. Not surprisingly, Smolin, who is a theoretical physicist at the Perimeter Institute in Waterloo, Ontario, is very excited. "I've been jumping up and down about these ideas," he says.</P></div></div><hr size="2" color="#666666" /><div style="padding: 10px;"><div style="text-align:left;"><P>The origins of loop quantum gravity can be traced back to the 1980s, when Abhay Ashtekar, now at Pennsylvania State University in University Park, rewrote Einstein's equations of general relativity in a quantum framework. Smolin and Carlo Rovelli of the University of the Mediterranean in Marseille, France, later developed Ashtekar's ideas and discovered that in the new framework, space is not smooth and continuous but instead comprises indivisible chunks just 10^-35 metres in diameter. Loop quantum gravity then defines space-time as a network of abstract links that connect these volumes of space, rather like nodes linked on an airline route map.</P></div></div></div></div><br><div style="margin-bottom: 40px;">Tags: <a href="http://clipmarks.com/tags/space/" rel="tag">space</a>, <a href="http://clipmarks.com/tags/time/" rel="tag">time</a>, <a href="http://clipmarks.com/tags/quantum+looping/" rel="tag">quantum looping</a>, <a href="http://clipmarks.com/tags/quantum+theory/" rel="tag">quantum theory</a>, <a href="http://clipmarks.com/tags/physics/" rel="tag">physics</a>, <a href="http://clipmarks.com/tags/penn+state/" rel="tag">penn state</a></div>http://www.newsvine.com/_news/2006/08/11/339534-you-are-made-of-space-timeMon, 28 Aug 2006 05:47:47 GMT