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7/24/2016 12:47:23 AMException of type 'System.Web.HttpUnhandledException' was thrown.System.Web
7/24/2016 12:45:25 AMSeach Results: <?xml version="1.0" encoding="UTF-8" standalone="no"?> <GSP VER="3.2"> <TM>0.093679</TM><Q>comprehensive math instruction</Q> <PARAM js_escaped_value="012414586328843467846:9xpvoxti6co" name="cx" original_value="012414586328843467846:9xpvoxti6co" url_escaped_value="012414586328843467846%3A9xpvoxti6co" value="012414586328843467846:9xpvoxti6co"></PARAM><PARAM js_escaped_value="google-csbe" name="client" original_value="google-csbe" url_escaped_value="google-csbe" value="google-csbe"></PARAM><PARAM js_escaped_value="xml_no_dtd" name="output" original_value="xml_no_dtd" url_escaped_value="xml_no_dtd" value="xml_no_dtd"></PARAM><PARAM js_escaped_value="10" name="num" original_value="10" url_escaped_value="10" value="10"></PARAM><PARAM js_escaped_value="0" name="start" original_value="0" url_escaped_value="0" value="0"></PARAM><PARAM js_escaped_value="comprehensive math instruction" name="q" original_value="comprehensive+math+instruction" url_escaped_value="comprehensive+math+instruction" value="comprehensive math instruction"></PARAM><PARAM js_escaped_value="AELymgUD0zEg5HJo7e7-ncXkC4f1bryPMZFBq5GfB0A9t9mpDHNtzEaxCJNGOOA9Gv4bXNDJ9IPik30ksixo45TSjqCyXBnJ8YjUcw1RlUq4VABuuMZxUok" name="adkw" original_value="AELymgUD0zEg5HJo7e7-ncXkC4f1bryPMZFBq5GfB0A9t9mpDHNtzEaxCJNGOOA9Gv4bXNDJ9IPik30ksixo45TSjqCyXBnJ8YjUcw1RlUq4VABuuMZxUok" url_escaped_value="AELymgUD0zEg5HJo7e7-ncXkC4f1bryPMZFBq5GfB0A9t9mpDHNtzEaxCJNGOOA9Gv4bXNDJ9IPik30ksixo45TSjqCyXBnJ8YjUcw1RlUq4VABuuMZxUok" value="AELymgUD0zEg5HJo7e7-ncXkC4f1bryPMZFBq5GfB0A9t9mpDHNtzEaxCJNGOOA9Gv4bXNDJ9IPik30ksixo45TSjqCyXBnJ8YjUcw1RlUq4VABuuMZxUok"></PARAM><PARAM js_escaped_value="en" name="hl" original_value="en" url_escaped_value="en" value="en"></PARAM><PARAM js_escaped_value="UTF-8" name="oe" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="UTF-8" name="ie" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="0" name="boostcse" original_value="0" url_escaped_value="0" value="0"></PARAM><Context><title>NCTM Search</title><total_results>91</total_results><Facet><FacetItem><label>classroom_resource</label><count>0</count><anchor_text>Classroom Resource</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>store</label><count>0</count><anchor_text>Store</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>publication</label><count>0</count><anchor_text>Publication</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>standards</label><count>0</count><anchor_text>Standards</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>news_event</label><count>0</count><anchor_text>News/Event</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem></Facet><Facet><FacetItem><label>professional_development</label><count>0</count><anchor_text>Professional Development</anchor_text><label_op>more</label_op></FacetItem></Facet></Context><RES EN="10" SN="1"> <M>100</M> <NB><NU>/custom?q=comprehensive+math+instruction&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivns&amp;ei=9EeUV5uSL8Kx-QHMiqGYCg&amp;start=10&amp;sa=N</NU></NB> <RG SIZE="10" START="1"></RG><RG SIZE="1" START="1"></RG><R N="1"><U>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/</U><UE>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/</UE><T>Principles and Standards - National Council of &lt;b&gt;Teachers&lt;/b&gt; 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decisions about curriculum, &lt;b&gt;instruction&lt;/b&gt;, and assessment without regard ..... &lt;br&gt; Question 1: What are the characteristics of a &lt;b&gt;comprehensive math&lt;/b&gt;-.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100414095532-04&#39;00&#39;"/><Attribute name="author" value="gfink"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Acrobat Distiller 8.1.0 (Macintosh)"/><Attribute name="moddate" value="D:20100511143428-04&#39;00&#39;"/><Attribute name="title" value="Linking Research.indd"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Lee-V_-Stiff/NCTM-Curricula/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Lee-V_-Stiff/NCTM-Curricula/</UE><T>NCTM Curricula - National Council of &lt;b&gt;Teachers&lt;/b&gt; 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decisions about curriculum, &lt;b&gt;instruction&lt;/b&gt;, and assessment without regard ..... &lt;br&gt; Question 1: What are the characteristics of a &lt;b&gt;comprehensive math&lt;/b&gt;-.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100414095532-04&#39;00&#39;"/><Attribute name="author" value="gfink"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Acrobat Distiller 8.1.0 (Macintosh)"/><Attribute name="moddate" value="D:20100511143428-04&#39;00&#39;"/><Attribute name="title" value="Linking Research.indd"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Lee-V_-Stiff/NCTM-Curricula/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Lee-V_-Stiff/NCTM-Curricula/</UE><T>NCTM Curricula - National Council of &lt;b&gt;Teachers&lt;/b&gt; 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7/24/2016 12:38:03 AMSeach Results: <?xml version="1.0" encoding="UTF-8" standalone="no"?> <GSP VER="3.2"> <TM>0.192607</TM><Q>poverty</Q> <PARAM js_escaped_value="012414586328843467846:9xpvoxti6co" name="cx" original_value="012414586328843467846:9xpvoxti6co" url_escaped_value="012414586328843467846%3A9xpvoxti6co" value="012414586328843467846:9xpvoxti6co"></PARAM><PARAM js_escaped_value="google-csbe" name="client" original_value="google-csbe" url_escaped_value="google-csbe" value="google-csbe"></PARAM><PARAM js_escaped_value="xml_no_dtd" name="output" original_value="xml_no_dtd" url_escaped_value="xml_no_dtd" value="xml_no_dtd"></PARAM><PARAM js_escaped_value="10" name="num" original_value="10" url_escaped_value="10" value="10"></PARAM><PARAM js_escaped_value="0" name="start" original_value="0" url_escaped_value="0" value="0"></PARAM><PARAM js_escaped_value="poverty" name="q" original_value="poverty" url_escaped_value="poverty" value="poverty"></PARAM><PARAM js_escaped_value="AELymgWyedVOP0pOybR9SeS2E36DWZmFraC10hIpd4zzqc8XK1pRMeC-rgTi64TmxTYQ7Mksk447QQgaoLJ8Fwro4PfVH5rRMVTuTO0W0FXJZW2iz6hnCHU" name="adkw" original_value="AELymgWyedVOP0pOybR9SeS2E36DWZmFraC10hIpd4zzqc8XK1pRMeC-rgTi64TmxTYQ7Mksk447QQgaoLJ8Fwro4PfVH5rRMVTuTO0W0FXJZW2iz6hnCHU" url_escaped_value="AELymgWyedVOP0pOybR9SeS2E36DWZmFraC10hIpd4zzqc8XK1pRMeC-rgTi64TmxTYQ7Mksk447QQgaoLJ8Fwro4PfVH5rRMVTuTO0W0FXJZW2iz6hnCHU" value="AELymgWyedVOP0pOybR9SeS2E36DWZmFraC10hIpd4zzqc8XK1pRMeC-rgTi64TmxTYQ7Mksk447QQgaoLJ8Fwro4PfVH5rRMVTuTO0W0FXJZW2iz6hnCHU"></PARAM><PARAM js_escaped_value="en" name="hl" original_value="en" url_escaped_value="en" value="en"></PARAM><PARAM js_escaped_value="UTF-8" name="oe" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="UTF-8" name="ie" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="0" name="boostcse" original_value="0" url_escaped_value="0" value="0"></PARAM><Context><title>NCTM Search</title><total_results>79</total_results><Facet><FacetItem><label>classroom_resource</label><count>0</count><anchor_text>Classroom Resource</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>store</label><count>0</count><anchor_text>Store</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>publication</label><count>0</count><anchor_text>Publication</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>standards</label><count>0</count><anchor_text>Standards</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>news_event</label><count>0</count><anchor_text>News/Event</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem></Facet><Facet><FacetItem><label>professional_development</label><count>0</count><anchor_text>Professional Development</anchor_text><label_op>more</label_op></FacetItem></Facet></Context><RES EN="10" SN="1"> <M>80</M> <NB><NU>/custom?q=poverty&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivnsb&amp;ei=OkaUV4HsHIWv-QGdpKvgBw&amp;start=10&amp;sa=N</NU></NB> <RG SIZE="10" START="1"></RG><RG SIZE="1" START="1"></RG><R N="1"><U>http://www.nctm.org/Publications/mathematics-teacher/2008/Vol101/Issue6/Poverty_-Teaching-Mathematics-and-Social-Justice/</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2008/Vol101/Issue6/Poverty_-Teaching-Mathematics-and-Social-Justice/</UE><T>&lt;b&gt;Poverty&lt;/b&gt;: Teaching Mathematics and Social Justice - National ...</T><RK>0</RK><S>Three mathematics lessons in a social justice setting of learning about &lt;b&gt;poverty&lt;/b&gt;. &lt;br&gt; Student activities include budgeting, graphic data representation, and linear&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="gAV0qWB-feIJ" SZ="131k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R N="2"><U>http://www.nctm.org/Publications/journal-for-research-in-mathematics-education/2006/Vol37/Issue1/The-Implementation-and-Impact-of-Evidence-Based-Mathematics-Reforms-in-High-Poverty-Middle-Schools_-A-Multi-Site,-Multi-Year-Study/</U><UE>http://www.nctm.org/Publications/journal-for-research-in-mathematics-education/2006/Vol37/Issue1/The-Implementation-and-Impact-of-Evidence-Based-Mathematics-Reforms-in-High-Poverty-Middle-Schools_-A-Multi-Site,-Multi-Year-Study/</UE><T>The Implementation and Impact of Evidence-Based Mathematics ...</T><RK>0</RK><S>The Implementation and Impact of Evidence-Based Mathematics Reforms in High&lt;br&gt; -&lt;b&gt;Poverty&lt;/b&gt; Middle Schools: A Multi-Site, Multi-Year Study. Robert Balfanz&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="oKMDSjv3ucgJ" SZ="134k"></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R MIME="application/pdf" N="3"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=xGrjpnEvpRw%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DxGrjpnEvpRw%253D</UE><T>Read an Excerpt (PDF)</T><RK>0</RK><S>&lt;b&gt;poverty&lt;/b&gt; urban middle schools, attended predominately by minority students, &lt;br&gt; appeared ... impact of evidence-based mathematics reforms in high-&lt;b&gt;poverty&lt;/b&gt; &lt;br&gt; middle&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20160401110625-04&#39;00&#39;"/><Attribute name="creator" value="Adobe Acrobat Pro 9.5.5"/><Attribute name="moddate" value="D:20160401110728-04&#39;00&#39;"/><Attribute name="producer" value="Adobe Acrobat Pro 9.5.5"/><Attribute name="title" value="14439 Lessons Learned VOL 2 Covers"/></DataObject></PageMap><HAS><L></L><C CID="8mW9u5CVYrQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="4"><U>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2016/Vol47/Issue1/Research-Commentary_-Educational-Technology_-An-Equity-Challenge-to-the-Common-Core/</U><UE>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2016/Vol47/Issue1/Research-Commentary_-Educational-Technology_-An-Equity-Challenge-to-the-Common-Core/</UE><T>Research Commentary: Educational Technology: An Equity ...</T><RK>0</RK><S>In 2013, the &lt;b&gt;poverty&lt;/b&gt; rate was 14.5%, with 45.3 million people living in &lt;b&gt;poverty&lt;/b&gt; in &lt;br&gt; the United States (DeNavas-Walt &amp;amp; Proctor, 2014). Moreover, the &lt;b&gt;poverty&lt;/b&gt; rate for&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="EP-9ggZKmJgJ" SZ="249k"></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="5"><U>https://www.nctm.org/store/Products/Readings-in-Secondary-Mathematics-Education---Course-Pack/</U><UE>https://www.nctm.org/store/Products/Readings-in-Secondary-Mathematics-Education---Course-Pack/</UE><T>Readings in Secondary Mathematics Education - Course Pack ...</T><RK>0</RK><S>&lt;b&gt;Poverty&lt;/b&gt;: Teaching Mathematics and Social Justice. ... 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Effective teaching &lt;br&gt; practices&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="pvennebush"/><Attribute name="last saved by" value="dbarnes"/><Attribute name="revision number" value="1808"/><Attribute name="last print date" value="3/29/2015 20:20:58"/><Attribute name="creation date" value="9/4/2008 13:39:54"/><Attribute name="last saved date" value="4/9/2015 12:57:32"/><Attribute name="edit minutes" value="35949"/><Attribute name="word count" value="1916"/><Attribute name="source" value="Microsoft Office PowerPoint"/><Attribute name="presentation format" value="On-screen Show (4:3)"/><Attribute name="count paragraphs" value="179"/><Attribute name="slides" value="27"/><Attribute name="slide notes" value="27"/><Attribute name="hidden slides" value="0"/><Attribute name="multimedia clips" value="0"/><Attribute name="scale crop" value="no"/><Attribute name="company" value="NCTM"/><Attribute name="links up to date" value="no"/><Attribute name="shared doc" value="no"/><Attribute name="links dirty" value="no"/><Attribute name="application version" value="12.0000"/></DataObject></PageMap><HAS><L></L><C CID="m4VQnfvjPYsJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/Publications/mathematics-teacher/2008/Vol101/Issue6/?ref=1</U><UE>http://www.nctm.org/Publications/mathematics-teacher/2008/Vol101/Issue6/%3Fref%3D1</UE><T>Issue6 - National Council of Teachers of Mathematics</T><RK>0</RK><S>Three mathematics lessons in a social justice setting of learning about &lt;b&gt;poverty&lt;/b&gt;. &lt;br&gt; Student activities include budgeting, graphic data representation, and linear&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="rkF4nV34iVcJ" SZ="148k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="8"><U>http://www.nctm.org/News-and-Calendar/News/NCTM-News-Releases/2007-TIMSS-Shows-Continued-Improvement-in-Math/</U><UE>http://www.nctm.org/News-and-Calendar/News/NCTM-News-Releases/2007-TIMSS-Shows-Continued-Improvement-in-Math/</UE><T>2007 TIMSS Shows Continued Improvement in Math - National ...</T><RK>0</RK><BYLINEDATE>1228809600</BYLINEDATE><S>Dec 9, 2008 &lt;b&gt;...&lt;/b&gt; &amp;quot;The facts show that students in the highest &lt;b&gt;poverty&lt;/b&gt; schools scored below the &lt;br&gt; international average in both fourth and eighth grades. We need&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="epy9G5i6jIoJ" SZ="142k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R N="9"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Henry-(Hank)-Kepner,-Jr/Equity_-All-Means-ALL!/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Henry-(Hank)-Kepner,-Jr/Equity_-All-Means-ALL!/</UE><T>Equity: All Means ALL! - National Council of Teachers of Mathematics</T><RK>0</RK><S>A growing body of research underscores the fact that &lt;b&gt;poverty&lt;/b&gt; and ethnicity are &lt;br&gt; not the primary causal variables related to student achievement—leadership,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="EF4KYW3HkzcJ" SZ="109k"></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="10"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Cathy-Seeley/Untapped-Potential/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Cathy-Seeley/Untapped-Potential/</UE><T>Untapped Potential - National Council of Teachers of Mathematics</T><RK>0</RK><S>But these challenges are often aggravated by conditions within their schools. A &lt;br&gt; look inside schools hints that it isn&amp;#39;t the &lt;b&gt;poverty&lt;/b&gt;, the neighborhood, the color,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="oumCIKT6w1oJ" SZ="111k"></C><RT></RT></HAS></R></RES> </GSP> 
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Fractions and other rational numbers are challenging topics to &lt;br&gt; teach as well as learn. The Editorial Panel wants to know your thoughts on what&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120718120313-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20120718120315-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///726550594769cf8702c7d195c0b3bbea645d67ca546155b4bbb9ccb91a481104"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="230"/><Attribute name="height" value="220"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcShogpEZJ26esgZt22wyDEmLRK9BFjXe6seIf8r7XmdurZKyHTzjKKQNy7v"/></DataObject></PageMap><HAS><L></L><C CID="kq-d2u_VAJUJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="3"><U>http://www.nctm.org/Publications/Microsites/Math-for-the-Curious/5-Number-and-Quantitative-Reasoning/2-Counting-and-Cardinality/Preschoolers_-Number-Sense/</U><UE>http://www.nctm.org/Publications/Microsites/Math-for-the-Curious/5-Number-and-Quantitative-Reasoning/2-Counting-and-Cardinality/Preschoolers_-Number-Sense/</UE><T>Mathematics for the Curious: Pre-K-K - Preschoolers&amp;#39; &lt;b&gt;Number Sense&lt;/b&gt;</T><RK>0</RK><S>A practical application of the principles of counting and cardinality, as well as the &lt;br&gt; other aspects of early &lt;b&gt;number&lt;/b&gt;, is found in Moomaw et al.&amp;#39;s (2010) article.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><HAS><L></L><C CID="h-TtoY0iuaMJ" SZ="59k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="4"><U>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2015/Vol46/Issue3/A-Kindergarten-Number-Sense-Intervention-With-Contrasting-Practice-Conditions-for-Low-Achieving-Children/</U><UE>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2015/Vol46/Issue3/A-Kindergarten-Number-Sense-Intervention-With-Contrasting-Practice-Conditions-for-Low-Achieving-Children/</UE><T>A Kindergarten &lt;b&gt;Number&lt;/b&gt;-&lt;b&gt;Sense&lt;/b&gt; Intervention With Contrasting ...</T><RK>0</RK><S>The efficacy of a research-based &lt;b&gt;number&lt;/b&gt;-&lt;b&gt;sense&lt;/b&gt; intervention for low-achieving &lt;br&gt; kindergartners was examined. Children (N = 126) were randomly assigned to 1 &lt;br&gt; of&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="Psu5xAArW5oJ" SZ="263k"></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="5"><U>http://www.nctm.org/publications/article.aspx?id=25884</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D25884</UE><T>Preschoolers&amp;#39; &lt;b&gt;number sense&lt;/b&gt; - National Council of Teachers of ...</T><RK>0</RK><S>Consider using a game-based assessment of &lt;b&gt;number sense&lt;/b&gt; in young children, &lt;br&gt; including those at risk because of socioeconomic level, disability, or the&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="_cStPGRJAcIJ" SZ="131k"></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R N="6"><U>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Why-Don_t-My-Students-Have-Number-Sense-(6-8)/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Why-Don_t-My-Students-Have-Number-Sense-(6-8)/</UE><T>Why Don&amp;#39;t My Students Have &lt;b&gt;Number Sense&lt;/b&gt; (6-8) - National ...</T><RK>0</RK><BYLINEDATE>1286175600</BYLINEDATE><S>Oct 4, 2010 &lt;b&gt;...&lt;/b&gt; Workshop participants will be presented with methodology, activities, and &lt;br&gt; strategies that can lead to improved &lt;b&gt;number sense&lt;/b&gt; in students.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="L7coSjtVY3IJ" SZ="111k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/Number-and-Operations/</U><UE>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/Number-and-Operations/</UE><T>&lt;b&gt;Number&lt;/b&gt; and Operations - National Council of Teachers of ...</T><RK>0</RK><S>Understand &lt;b&gt;numbers&lt;/b&gt;, ways of representing &lt;b&gt;numbers&lt;/b&gt;, relationships among ... &lt;br&gt; develop a &lt;b&gt;sense&lt;/b&gt; of whole &lt;b&gt;numbers&lt;/b&gt; and represent and use them in flexible ways,&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="WI9ZWeoHmcwJ" SZ="125k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="8"><U>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol21/Issue7/Five-Steps-to-Zero_-A-Game-for-Number-Sense-and-Reasoning/</U><UE>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol21/Issue7/Five-Steps-to-Zero_-A-Game-for-Number-Sense-and-Reasoning/</UE><T>Five Steps to Zero: A Game for &lt;b&gt;Number Sense&lt;/b&gt; and Reasoning ...</T><RK>0</RK><S>Five Steps to Zero: A Game for &lt;b&gt;Number Sense&lt;/b&gt; and Reasoning. Rob Wieman. I &lt;br&gt; have spent much of the last twenty-two years in middle school and high school&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="78rDSP7wkQ0J" SZ="151k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R N="9"><U>http://www.nctm.org/publications/article.aspx?id=21163</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D21163</UE><T>Developing &lt;b&gt;Number Sense&lt;/b&gt;: What Can Other Cultures Tell Us ...</T><RK>0</RK><S>How students can develop their &lt;b&gt;number sense&lt;/b&gt; and an appreciation of the Hindu-&lt;br&gt; arabic number system by studying the number systems and counting words&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="mL5ypEQOCJwJ" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="10"><U>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Manipulatives,-Models,-and-Symbols_-Representations-for-Building-Number-Sense/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Manipulatives,-Models,-and-Symbols_-Representations-for-Building-Number-Sense/</UE><T>Manipulatives, Models, and Symbols: Representations for Building ...</T><RK>0</RK><BYLINEDATE>1366441200</BYLINEDATE><S>Apr 20, 2013 &lt;b&gt;...&lt;/b&gt; Developing students&amp;#39; &lt;b&gt;number sense&lt;/b&gt; entails multiple and varied experiences over &lt;br&gt; time. Using concrete, visual, and symbolic representations&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="Dh6lWMo9qGEJ" SZ="111k"></C><RT></RT></HAS></R><RG SIZE="1" START="11"></RG><R N="11"><U>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2001/Vol6/Issue8/Developing-Number-Sense-on-the-Number-Line/</U><UE>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2001/Vol6/Issue8/Developing-Number-Sense-on-the-Number-Line/</UE><T>Developing &lt;b&gt;Number Sense&lt;/b&gt; on the Number Line - National Council ...</T><RK>0</RK><S>The uses of a life-sized &lt;b&gt;number&lt;/b&gt; line which helps students visualize &lt;b&gt;number&lt;/b&gt; &lt;br&gt; relationships.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="8in75_8j5SAJ" SZ="133k"></C><RT></RT></HAS></R><RG SIZE="1" START="12"></RG><R N="12"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2010/Vol17/Issue2/Using-number-sense-to-compare-fractions/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2010/Vol17/Issue2/Using-number-sense-to-compare-fractions/</UE><T>Using &lt;b&gt;number sense&lt;/b&gt; to compare fractions - National Council of ...</T><RK>0</RK><S>Using &lt;b&gt;number sense&lt;/b&gt; to compare fractions. Wendy S. Bray, Laura Abreu-Sanchez&lt;br&gt; . Third-grade teachers found that giving particular attention to the use of&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="73IH1Wn8w_sJ" SZ="133k"></C><RT></RT></HAS></R><RG SIZE="1" START="13"></RG><R N="13"><U>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2014/Vol19/Issue6/Revisit-Pattern-Blocks-to-Develop-Rational-Number-Sense/</U><UE>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2014/Vol19/Issue6/Revisit-Pattern-Blocks-to-Develop-Rational-Number-Sense/</UE><T>Revisit Pattern Blocks to Develop Rational &lt;b&gt;Number Sense&lt;/b&gt; - National ...</T><RK>0</RK><S>Revisit Pattern Blocks to Develop Rational &lt;b&gt;Number Sense&lt;/b&gt;. Joe Champion and &lt;br&gt; Ann Wheeler. A classic manipulative, used since the 1960s, continues to offer&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="PUCoktb2l0IJ" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="14"></RG><R N="14"><U>https://www.nctm.org/store/Products/Numbers-and-Stories--Using-Children-s-Literature-to-Teach-Young-Children-Number-Sense/</U><UE>https://www.nctm.org/store/Products/Numbers-and-Stories--Using-Children-s-Literature-to-Teach-Young-Children-Number-Sense/</UE><T>&lt;b&gt;Numbers&lt;/b&gt; and Stories: Using Children&amp;#39;s Literature to Teach Young ...</T><RK>0</RK><BYLINEDATE>1388822400</BYLINEDATE><S>Jan 4, 2014 &lt;b&gt;...&lt;/b&gt; If you&amp;#39;re looking for a surefire way to build &lt;b&gt;number sense&lt;/b&gt; and reading skills at the &lt;br&gt; very same time, rely on this indispensable K-2 resource.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=5prUbgHXmEY%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="86"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQuhbgojy3vGVooxE1FYp49kgXg9_U6r4WMIy-OA79_aEjLQyablCzmug"/></DataObject></PageMap><HAS><L></L><C CID="i63YPtJr_CkJ" SZ="125k"></C><RT></RT></HAS></R><RG SIZE="1" START="15"></RG><R N="15"><U>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2012/Vol18/Issue1/Call-for-Manuscripts-for-the-2014-Focus-Issue_-Rational-Number-Sense-%E2%80%93-August-2012/</U><UE>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2012/Vol18/Issue1/Call-for-Manuscripts-for-the-2014-Focus-Issue_-Rational-Number-Sense-%25E2%2580%2593-August-2012/</UE><T>Call for Manuscripts for the 2014 Focus Issue: Rational &lt;b&gt;Number&lt;/b&gt; ...</T><RK>0</RK><S>This call for manuscripts is requesting articles that address how to make &lt;b&gt;sense&lt;/b&gt; of &lt;br&gt; rational &lt;b&gt;numbers&lt;/b&gt; in their myriad forms, including as fractions, ratios, rates,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="oljBO25YhscJ" SZ="138k"></C><RT></RT></HAS></R><RG SIZE="1" START="16"></RG><R N="16"><U>https://www.nctm.org/store/Products/%E2%80%9CRational-Number-Sense%E2%80%9D-(focus-2-14-MTMS)/</U><UE>https://www.nctm.org/store/Products/%25E2%2580%259CRational-Number-Sense%25E2%2580%259D-(focus-2-14-MTMS)/</UE><T>“Rational &lt;b&gt;Number Sense&lt;/b&gt;” (focus 2-14 MTMS) - National Council of ...</T><RK>0</RK><BYLINEDATE>1359532800</BYLINEDATE><S>Jan 30, 2013 &lt;b&gt;...&lt;/b&gt; Fractions and other rational &lt;b&gt;numbers&lt;/b&gt; are challenging topics to teach as well as &lt;br&gt; learn. What does it take for students to make &lt;b&gt;sense&lt;/b&gt; of rational&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=apAUXazsiPM%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="84"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRRIwm7UO-xqfPv410pyMNtpoKuE9v6MDdD4QCBzQ3JxMlDszfeiX6P"/></DataObject></PageMap><HAS><L></L><C CID="Q8Jnup7CqnAJ" SZ="122k"></C><RT></RT></HAS></R><RG SIZE="1" START="17"></RG><R N="17"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2011/Vol17/Issue6/backtalk_-Developing-number-sense-and-relational-thinking/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2011/Vol17/Issue6/backtalk_-Developing-number-sense-and-relational-thinking/</UE><T>backtalk: Developing &lt;b&gt;number sense&lt;/b&gt; and relational thinking ...</T><RK>0</RK><S>384 February 2011 • teaching children mathematics www.nctm.org Megan Kelly &lt;br&gt; Murray back talk Heidis developing &lt;b&gt;number sense&lt;/b&gt; and relational thinking four&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="ukdXjrxv3ToJ" SZ="127k"></C><RT></RT></HAS></R><RG SIZE="1" START="18"></RG><R N="18"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2000/Vol7/Issue3/Incredible-Equations-Develop-Incredible-Number-Sense/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2000/Vol7/Issue3/Incredible-Equations-Develop-Incredible-Number-Sense/</UE><T>Incredible Equations Develop Incredible &lt;b&gt;Number Sense&lt;/b&gt; - National ...</T><RK>0</RK><S>How an activity called Incredible Equations was used to develop second graders&amp;#39; &lt;br&gt; &lt;b&gt;number sense&lt;/b&gt; and number concepts. Includes equations created by the&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="gjDRvXlKm50J" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="19"></RG><R N="19"><U>http://www.nctm.org/Publications/teaching-children-mathematics/2008/Vol14/Issue7/Problem-Solvers_-Using-your-(Number)-Sense-of-Balance-and-Solutions-to-the-Sharing-Cookies-Problem/</U><UE>http://www.nctm.org/Publications/teaching-children-mathematics/2008/Vol14/Issue7/Problem-Solvers_-Using-your-(Number)-Sense-of-Balance-and-Solutions-to-the-Sharing-Cookies-Problem/</UE><T>Problem Solvers: Using your (&lt;b&gt;Number&lt;/b&gt;) &lt;b&gt;Sense&lt;/b&gt; of Balance and ...</T><RK>0</RK><S>Problem Solvers: Using your (&lt;b&gt;Number&lt;/b&gt;) &lt;b&gt;Sense&lt;/b&gt; of Balance and Solutions to the &lt;br&gt; Sharing Cookies Problem. Annette Leitze; Sheryl Stump;. This is available to&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="tTku3EjFW8oJ" SZ="112k"></C><RT></RT></HAS></R><RG SIZE="1" START="20"></RG><R MIME="application/pdf" N="20"><U>https://www.nctm.org/uploadedFiles/Affiliates/resources/2016_Summer%20Institute_DENVER_PK-5_Flyer.pdf</U><UE>https://www.nctm.org/uploadedFiles/Affiliates/resources/2016_Summer%2520Institute_DENVER_PK-5_Flyer.pdf</UE><T>Nurture a Strong &lt;b&gt;Sense&lt;/b&gt; of &lt;b&gt;Number&lt;/b&gt; in Younger Students</T><RK>0</RK><S>Nurture a Strong &lt;b&gt;Sense&lt;/b&gt; of. &lt;b&gt;Number&lt;/b&gt; in Younger Students. Now more than ever, &lt;br&gt; students need to establish a solid foundation for success in mathematics, and it&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20160307135752-07&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CC 2015 (Macintosh)"/><Attribute name="moddate" value="D:20160307135758-07&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 15.0"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///1150a7d4d7b49d28c3951985871b8b6885356b64bbba7e68b0c3346cc4f172f0"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="208"/><Attribute name="height" value="203"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTz3Fz_zshUlbigB4MzG2xPPOfMiB5YucePkSy-gOAOtw72DwbFJh3p5HSQ"/></DataObject></PageMap><HAS><L></L><C CID="U5yVGarJWU0J" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
7/24/2016 12:35:52 AMGoogle URL: https://www.google.com/cse?cx=012414586328843467846:9xpvoxti6co&client=google-csbe&output=xml_no_dtd&num=20&start=0&q=number+sense 
7/24/2016 12:35:44 AMSeach Results: <?xml version="1.0" encoding="UTF-8" standalone="no"?> <GSP VER="3.2"> <TM>0.372526</TM><Q>number sense</Q> <PARAM js_escaped_value="012414586328843467846:9xpvoxti6co" name="cx" original_value="012414586328843467846:9xpvoxti6co" url_escaped_value="012414586328843467846%3A9xpvoxti6co" value="012414586328843467846:9xpvoxti6co"></PARAM><PARAM js_escaped_value="google-csbe" name="client" original_value="google-csbe" url_escaped_value="google-csbe" value="google-csbe"></PARAM><PARAM js_escaped_value="xml_no_dtd" name="output" original_value="xml_no_dtd" url_escaped_value="xml_no_dtd" value="xml_no_dtd"></PARAM><PARAM js_escaped_value="10" name="num" original_value="10" url_escaped_value="10" value="10"></PARAM><PARAM js_escaped_value="0" name="start" original_value="0" url_escaped_value="0" value="0"></PARAM><PARAM js_escaped_value="number sense" name="q" original_value="number+sense" url_escaped_value="number+sense" value="number sense"></PARAM><PARAM js_escaped_value="AELymgUYY-DRBHnKTsmpkFb2S0cQDIacnA7cS3eH5vC4m-1i98SiTmt65WayscroS660B1gDdgf-p3el0PT0TQQ_-unpDnF-mQ-lRbjJO8sGsaoxsHT0neA" name="adkw" original_value="AELymgUYY-DRBHnKTsmpkFb2S0cQDIacnA7cS3eH5vC4m-1i98SiTmt65WayscroS660B1gDdgf-p3el0PT0TQQ_-unpDnF-mQ-lRbjJO8sGsaoxsHT0neA" url_escaped_value="AELymgUYY-DRBHnKTsmpkFb2S0cQDIacnA7cS3eH5vC4m-1i98SiTmt65WayscroS660B1gDdgf-p3el0PT0TQQ_-unpDnF-mQ-lRbjJO8sGsaoxsHT0neA" value="AELymgUYY-DRBHnKTsmpkFb2S0cQDIacnA7cS3eH5vC4m-1i98SiTmt65WayscroS660B1gDdgf-p3el0PT0TQQ_-unpDnF-mQ-lRbjJO8sGsaoxsHT0neA"></PARAM><PARAM js_escaped_value="en" name="hl" original_value="en" url_escaped_value="en" value="en"></PARAM><PARAM js_escaped_value="UTF-8" name="oe" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="UTF-8" name="ie" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="0" name="boostcse" original_value="0" url_escaped_value="0" value="0"></PARAM><Context><title>NCTM Search</title><total_results>1100</total_results><Facet><FacetItem><label>classroom_resource</label><count>0</count><anchor_text>Classroom Resource</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>store</label><count>0</count><anchor_text>Store</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>publication</label><count>0</count><anchor_text>Publication</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>standards</label><count>0</count><anchor_text>Standards</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>news_event</label><count>0</count><anchor_text>News/Event</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem></Facet><Facet><FacetItem><label>professional_development</label><count>0</count><anchor_text>Professional Development</anchor_text><label_op>more</label_op></FacetItem></Facet></Context><RES EN="10" SN="1"> <M>2370</M> <NB><NU>/custom?q=number+sense&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivnsb&amp;ei=r0WUV9-1A4bT-QGmlrLoCw&amp;start=10&amp;sa=N</NU></NB> <RG SIZE="10" START="1"></RG><RG SIZE="1" START="1"></RG><R N="1"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Skip-Fennell/Number-Sense%E2%80%94Right-Now!/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Skip-Fennell/Number-Sense%25E2%2580%2594Right-Now!/</UE><T>&lt;b&gt;Number Sense&lt;/b&gt;—Right Now! - National Council of Teachers of ...</T><RK>0</RK><S>My goal, hope, and wish are for all students to leave elementary school with a &lt;br&gt; strong &lt;b&gt;sense&lt;/b&gt; of &lt;b&gt;number&lt;/b&gt; that will then expand and develop in middle school,&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="QJWG0oWEzo4J" SZ="106k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="2"><U>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2012/Vol18/Issue1/mtms2012-08-17a_pdf/</U><UE>http://www.nctm.org/Publications/mathematics-teaching-in-middle-school/2012/Vol18/Issue1/mtms2012-08-17a_pdf/</UE><T>rational &lt;b&gt;number sense&lt;/b&gt;</T><RK>0</RK><S>&lt;b&gt;number sense&lt;/b&gt;. Fractions and other rational numbers are challenging topics to &lt;br&gt; teach as well as learn. The Editorial Panel wants to know your thoughts on what&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120718120313-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="moddate" value="D:20120718120315-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 9.9"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///726550594769cf8702c7d195c0b3bbea645d67ca546155b4bbb9ccb91a481104"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="230"/><Attribute name="height" value="220"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcShogpEZJ26esgZt22wyDEmLRK9BFjXe6seIf8r7XmdurZKyHTzjKKQNy7v"/></DataObject></PageMap><HAS><L></L><C CID="kq-d2u_VAJUJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R N="3"><U>http://www.nctm.org/Publications/Microsites/Math-for-the-Curious/5-Number-and-Quantitative-Reasoning/2-Counting-and-Cardinality/Preschoolers_-Number-Sense/</U><UE>http://www.nctm.org/Publications/Microsites/Math-for-the-Curious/5-Number-and-Quantitative-Reasoning/2-Counting-and-Cardinality/Preschoolers_-Number-Sense/</UE><T>Mathematics for the Curious: Pre-K-K - Preschoolers&amp;#39; &lt;b&gt;Number Sense&lt;/b&gt;</T><RK>0</RK><S>A practical application of the principles of counting and cardinality, as well as the &lt;br&gt; other aspects of early &lt;b&gt;number&lt;/b&gt;, is found in Moomaw et al.&amp;#39;s (2010) article.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><HAS><L></L><C CID="h-TtoY0iuaMJ" SZ="59k"></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="4"><U>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2015/Vol46/Issue3/A-Kindergarten-Number-Sense-Intervention-With-Contrasting-Practice-Conditions-for-Low-Achieving-Children/</U><UE>http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2015/Vol46/Issue3/A-Kindergarten-Number-Sense-Intervention-With-Contrasting-Practice-Conditions-for-Low-Achieving-Children/</UE><T>A Kindergarten &lt;b&gt;Number&lt;/b&gt;-&lt;b&gt;Sense&lt;/b&gt; Intervention With Contrasting ...</T><RK>0</RK><S>The efficacy of a research-based &lt;b&gt;number&lt;/b&gt;-&lt;b&gt;sense&lt;/b&gt; intervention for low-achieving &lt;br&gt; kindergartners was examined. Children (N = 126) were randomly assigned to 1 &lt;br&gt; of&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="Psu5xAArW5oJ" SZ="263k"></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R N="5"><U>http://www.nctm.org/publications/article.aspx?id=25884</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D25884</UE><T>Preschoolers&amp;#39; &lt;b&gt;number sense&lt;/b&gt; - National Council of Teachers of ...</T><RK>0</RK><S>Consider using a game-based assessment of &lt;b&gt;number sense&lt;/b&gt; in young children, &lt;br&gt; including those at risk because of socioeconomic level, disability, or the&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="_cStPGRJAcIJ" SZ="131k"></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R N="6"><U>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Why-Don_t-My-Students-Have-Number-Sense-(6-8)/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Why-Don_t-My-Students-Have-Number-Sense-(6-8)/</UE><T>Why Don&amp;#39;t My Students Have &lt;b&gt;Number Sense&lt;/b&gt; (6-8) - National ...</T><RK>0</RK><BYLINEDATE>1286175600</BYLINEDATE><S>Oct 4, 2010 &lt;b&gt;...&lt;/b&gt; Workshop participants will be presented with methodology, activities, and &lt;br&gt; strategies that can lead to improved &lt;b&gt;number sense&lt;/b&gt; in students.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="L7coSjtVY3IJ" SZ="111k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="7"><U>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/Number-and-Operations/</U><UE>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/Number-and-Operations/</UE><T>&lt;b&gt;Number&lt;/b&gt; and Operations - National Council of Teachers of ...</T><RK>0</RK><S>Understand &lt;b&gt;numbers&lt;/b&gt;, ways of representing &lt;b&gt;numbers&lt;/b&gt;, relationships among ... &lt;br&gt; develop a &lt;b&gt;sense&lt;/b&gt; of whole &lt;b&gt;numbers&lt;/b&gt; and represent and use them in flexible ways,&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="WI9ZWeoHmcwJ" SZ="125k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R N="8"><U>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol21/Issue7/Five-Steps-to-Zero_-A-Game-for-Number-Sense-and-Reasoning/</U><UE>http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol21/Issue7/Five-Steps-to-Zero_-A-Game-for-Number-Sense-and-Reasoning/</UE><T>Five Steps to Zero: A Game for &lt;b&gt;Number Sense&lt;/b&gt; and Reasoning ...</T><RK>0</RK><S>Five Steps to Zero: A Game for &lt;b&gt;Number Sense&lt;/b&gt; and Reasoning. Rob Wieman. I &lt;br&gt; have spent much of the last twenty-two years in middle school and high school&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="78rDSP7wkQ0J" SZ="151k"></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R N="9"><U>http://www.nctm.org/publications/article.aspx?id=21163</U><UE>http://www.nctm.org/publications/article.aspx%3Fid%3D21163</UE><T>Developing &lt;b&gt;Number Sense&lt;/b&gt;: What Can Other Cultures Tell Us ...</T><RK>0</RK><S>How students can develop their &lt;b&gt;number sense&lt;/b&gt; and an appreciation of the Hindu-&lt;br&gt; arabic number system by studying the number systems and counting words&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="mL5ypEQOCJwJ" SZ="130k"></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="10"><U>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Manipulatives,-Models,-and-Symbols_-Representations-for-Building-Number-Sense/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Webinars-and-Webcasts/Manipulatives,-Models,-and-Symbols_-Representations-for-Building-Number-Sense/</UE><T>Manipulatives, Models, and Symbols: Representations for Building ...</T><RK>0</RK><BYLINEDATE>1366441200</BYLINEDATE><S>Apr 20, 2013 &lt;b&gt;...&lt;/b&gt; Developing students&amp;#39; &lt;b&gt;number sense&lt;/b&gt; entails multiple and varied experiences over &lt;br&gt; time. 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7/24/2016 12:35:24 AMException of type 'System.Web.HttpUnhandledException' was thrown.System.Web
7/24/2016 12:34:47 AMSeach Results: <?xml version="1.0" encoding="UTF-8" standalone="no"?> <GSP VER="3.2"> <TM>0.277996</TM><Q>problem solving and reseasoning</Q> <PARAM js_escaped_value="012414586328843467846:9xpvoxti6co" name="cx" original_value="012414586328843467846:9xpvoxti6co" url_escaped_value="012414586328843467846%3A9xpvoxti6co" value="012414586328843467846:9xpvoxti6co"></PARAM><PARAM js_escaped_value="google-csbe" name="client" original_value="google-csbe" url_escaped_value="google-csbe" value="google-csbe"></PARAM><PARAM js_escaped_value="xml_no_dtd" name="output" original_value="xml_no_dtd" url_escaped_value="xml_no_dtd" value="xml_no_dtd"></PARAM><PARAM js_escaped_value="10" name="num" original_value="10" url_escaped_value="10" value="10"></PARAM><PARAM js_escaped_value="60" name="start" original_value="60" url_escaped_value="60" value="60"></PARAM><PARAM js_escaped_value="problem solving and reseasoning" name="q" original_value="problem+solving+and+reseasoning" url_escaped_value="problem+solving+and+reseasoning" value="problem solving and reseasoning"></PARAM><PARAM js_escaped_value="AELymgUvJB3Fms6meD_P-H6Jl1xulap5uuhMN2CU2PUARo3UU601JuZnhQS6hjA02ERyM87ok5C_JdZWbvo0DszLsO32hv2Qvwyn4Nv1e-QUXGXG-xcrT_Q" name="adkw" original_value="AELymgUvJB3Fms6meD_P-H6Jl1xulap5uuhMN2CU2PUARo3UU601JuZnhQS6hjA02ERyM87ok5C_JdZWbvo0DszLsO32hv2Qvwyn4Nv1e-QUXGXG-xcrT_Q" url_escaped_value="AELymgUvJB3Fms6meD_P-H6Jl1xulap5uuhMN2CU2PUARo3UU601JuZnhQS6hjA02ERyM87ok5C_JdZWbvo0DszLsO32hv2Qvwyn4Nv1e-QUXGXG-xcrT_Q" value="AELymgUvJB3Fms6meD_P-H6Jl1xulap5uuhMN2CU2PUARo3UU601JuZnhQS6hjA02ERyM87ok5C_JdZWbvo0DszLsO32hv2Qvwyn4Nv1e-QUXGXG-xcrT_Q"></PARAM><PARAM js_escaped_value="en" name="hl" original_value="en" url_escaped_value="en" value="en"></PARAM><PARAM js_escaped_value="UTF-8" name="oe" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="UTF-8" name="ie" original_value="UTF-8" url_escaped_value="UTF-8" value="UTF-8"></PARAM><PARAM js_escaped_value="0" name="boostcse" original_value="0" url_escaped_value="0" value="0"></PARAM><Context><title>NCTM Search</title><total_results>1099</total_results><Facet><FacetItem><label>classroom_resource</label><count>0</count><anchor_text>Classroom Resource</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>store</label><count>0</count><anchor_text>Store</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>publication</label><count>0</count><anchor_text>Publication</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem><FacetItem><label>standards</label><count>0</count><anchor_text>Standards</anchor_text><label_op>more</label_op></FacetItem></Facet><Facet><FacetItem><label>news_event</label><count>0</count><anchor_text>News/Event</anchor_text><label_op>more</label_op><facet_search_label>1</facet_search_label></FacetItem></Facet><Facet><FacetItem><label>professional_development</label><count>0</count><anchor_text>Professional Development</anchor_text><label_op>more</label_op></FacetItem></Facet></Context><RES EN="70" SN="61"> <M>2180</M> <FI></FI><NB><PU>/custom?q=problem+solving+and+reseasoning&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivns&amp;ei=d0WUV97JB8zh-QHNo5XoCw&amp;start=50&amp;sa=N</PU><NU>/custom?q=problem+solving+and+reseasoning&amp;client=google-csbe&amp;cx=012414586328843467846:9xpvoxti6co&amp;hl=en&amp;boostcse=0&amp;output=xml_no_dtd&amp;ie=UTF-8&amp;oe=UTF-8&amp;prmd=ivns&amp;ei=d0WUV97JB8zh-QHNo5XoCw&amp;start=70&amp;sa=N</NU></NB> <RG SIZE="10" START="1"></RG><RG SIZE="1" START="1"></RG><R MIME="application/vnd.openxmlformats-officedocument.presentationml.presentation" N="61"><U>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/1-ES-Brooks-Slides/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/1-ES-Brooks-Slides/</UE><T>Principles to Actions Effective Mathematics Teaching Practices The ...</T><RK>0</RK><S>Make sense of problems and persevere in solving them. Reason abstractly ... &lt;br&gt; Implement tasks that promote &lt;b&gt;reasoning&lt;/b&gt; and &lt;b&gt;problem solving&lt;/b&gt;. Use and connect&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="dh"/><Attribute name="last saved by" value="dh"/><Attribute name="revision number" value="380"/><Attribute name="creation date" value="3/25/2015 15:43:28"/><Attribute name="last saved date" value="4/10/2015 00:27:25"/><Attribute name="edit minutes" value="2705"/><Attribute name="word count" value="2334"/><Attribute name="source" value="Microsoft Macintosh PowerPoint"/><Attribute name="presentation format" value="On-screen Show (4:3)"/><Attribute name="count paragraphs" value="312"/><Attribute name="slides" value="25"/><Attribute name="slide notes" value="25"/><Attribute name="hidden slides" value="0"/><Attribute name="multimedia clips" value="0"/><Attribute name="scale crop" value="no"/><Attribute name="links up to date" value="no"/><Attribute name="shared doc" value="no"/><Attribute name="links dirty" value="no"/><Attribute name="application version" value="14.0000"/></DataObject></PageMap><HAS><L></L><C CID="dkGWjQFPF3YJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="62"><U>https://www.nctm.org/uploadedFiles/Standards_and_Positions/Focus_in_High_School_Mathematics/13494_chapter.pdf</U><UE>https://www.nctm.org/uploadedFiles/Standards_and_Positions/Focus_in_High_School_Mathematics/13494_chapter.pdf</UE><T>&lt;b&gt;Reasoning&lt;/b&gt; with Functions</T><RK>0</RK><S>Key elements of &lt;b&gt;reasoning&lt;/b&gt; and sense making with functions include the following&lt;br&gt; : ... decisions about which representations are most helpful in &lt;b&gt;problem&lt;/b&gt;-&lt;b&gt;solving&lt;/b&gt;&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20090925131407-04&#39;00&#39;"/><Attribute name="moddate" value="D:20160412114547-04&#39;00&#39;"/><Attribute name="producer" value="Creo Normalizer JTP"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///110894feec62574c2c53ce9b5d5ca0442de1010242eea7e4c7f4910e0cb6c9ae"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="244"/><Attribute name="height" value="207"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQ58g2Ad9i61cFvg3GJo4vzNk41sgZ9jjWkSKBIhqenfQqx4zaQZw5Y41M"/></DataObject></PageMap><HAS><L></L><C CID="FpfoVRe_OnoJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R MIME="application/pdf" N="63"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=Ddr5rEXpzDk%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DDdr5rEXpzDk%253D</UE><T>Fitness Fest</T><RK>0</RK><S>Navigating through &lt;b&gt;Problem Solving and Reasoning&lt;/b&gt; in Grade 6. Fitness Fest. &lt;br&gt; Focus. Reasoning about data relationships. Overview. In this investigation&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100317161746-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100317162141-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R MIME="application/pdf" N="64"><U>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/Connect%20NCTM%20Process%20to%20CCSSM_Practice%202(1).pdf</U><UE>http://www.nctm.org/uploadedFiles/Professional_Development/FHSM_Video_Library_Task_Force/CCRA_Cluster/Connect%2520NCTM%2520Process%2520to%2520CCSSM_Practice%25202(1).pdf</UE><T>Reason Abstractly and Quantitatively PRA TICE 1 PRA TICE 2 PRA ...</T><RK>0</RK><S>on the role of quantitative and abstract &lt;b&gt;reasoning&lt;/b&gt; when solving problems. ... to &lt;br&gt; NCTM&amp;#39;s &lt;b&gt;Problem Solving&lt;/b&gt; Standard, which states that students should have&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20140402120717-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS5 (7.0.4)"/><Attribute name="producer" value="Adobe PDF Library 9.9"/><Attribute name="moddate" value="D:20140402120728-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="SjFqIPYAgQQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/vnd.ms-powerpoint" N="65"><U>http://www.nctm.org/uploadedFiles/Standards_and_Positions/Focus_in_High_School_Mathematics/FHSM_Overview_20110329.ppt</U><UE>http://www.nctm.org/uploadedFiles/Standards_and_Positions/Focus_in_High_School_Mathematics/FHSM_Overview_20110329.ppt</UE><T>&lt;b&gt;Reasoning&lt;/b&gt; and Sense Making</T><RK>0</RK><BYLINEDATE>1301382000</BYLINEDATE><S>Mar 29, 2011 &lt;b&gt;...&lt;/b&gt; Focus in High School Mathematics: Reasoning and Sense Making in ... “The &lt;br&gt; processes of mathematics— &lt;b&gt;Problem Solving&lt;/b&gt;, &lt;b&gt;Reasoning&lt;/b&gt; and&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Ken Krehbiel"/><Attribute name="last saved by" value="Ken Krehbiel"/><Attribute name="revision number" value="799"/><Attribute name="source" value="Microsoft Office PowerPoint"/><Attribute name="edit minutes" value="14576"/><Attribute name="last print date" value="2/23/2006 01:55:16"/><Attribute name="creation date" value="8/21/2010 20:31:44"/><Attribute name="last saved date" value="3/29/2011 13:18:45"/><Attribute name="word count" value="3411"/><Attribute name="presentation format" value="On-screen Show (4:3)"/><Attribute name="company" value="NCTM"/><Attribute name="count bytes" value="1666244"/><Attribute name="count paragraphs" value="249"/><Attribute name="count slides" value="42"/><Attribute name="count notes" value="42"/><Attribute name="count slides hidden" value="0"/><Attribute name="count mm clips" value="0"/><Attribute name="scale crop" value="no"/><Attribute name="links dirty" value="no"/></DataObject></PageMap><HAS><L></L><C CID="UiSAGPvrZBEJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R MIME="application/pdf" N="66"><U>https://www.nctm.org/uploadedFiles/Affiliates/resources/2016_Summer%20Institute_DENVER_6-8_Flyer.pdf</U><UE>https://www.nctm.org/uploadedFiles/Affiliates/resources/2016_Summer%2520Institute_DENVER_6-8_Flyer.pdf</UE><T>Build a Strong Foundation for Algebraic &lt;b&gt;Reasoning&lt;/b&gt;</T><RK>0</RK><S>develop strong algebraic &lt;b&gt;reasoning&lt;/b&gt; skills at this two and a half days of interactive &lt;br&gt; ... &lt;b&gt;reasoning&lt;/b&gt; and &lt;b&gt;problem solving&lt;/b&gt;, that provide all students opportunities to&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20160307140047-07&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CC 2015 (Macintosh)"/><Attribute name="moddate" value="D:20160307140052-07&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 15.0"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///bf217d48eea10ab3a978f49a4934af4cafbbfe9a44cb3e207c21cd403d48c208"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="197"/><Attribute name="height" value="192"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRQIR385y01wInlDYD78aXg-NKgbTXtP0ey9tRtA8aAjqZ06Nk9STLpkkw3"/></DataObject></PageMap><HAS><L></L><C CID="NYKyh5zoAwAJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R MIME="application/pdf" N="67"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=Txwn6EAY2aE%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DTxwn6EAY2aE%253D</UE><T>• • • • • • •</T><RK>0</RK><S>Understand ratio concepts and use ratio &lt;b&gt;reasoning&lt;/b&gt; to &lt;b&gt;solve problems&lt;/b&gt;. Now and &lt;br&gt; ... The questions emphasize &lt;b&gt;solving&lt;/b&gt; proportional equations to find an unknown.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20140725142045-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/><Attribute name="moddate" value="D:20140725142103-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="fPVFaSGovKAJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/pdf" N="68"><U>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Cash-or-Gas/</U><UE>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Cash-or-Gas/</UE><T>Cash or Gas?</T><RK>0</RK><S>&lt;b&gt;Problem Solving&lt;/b&gt;—solve problems that arise in mathematics and in other contexts&lt;br&gt; . &lt;b&gt;Reasoning&lt;/b&gt; and Proof—develop and evaluate mathematical arguments.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120419075534-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20120419075537-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///7d19268e03e8d1d9d388e3d391162e5c4b3bac94f0ce3ad76c37e6e880ed0eff"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="287"/><Attribute name="height" value="176"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSaC_gs4wf663P3L4DO9tr-WkiChEoQ1AsjdNzgJ1wiOU2ebJkNFTSgqIA"/></DataObject></PageMap><HAS><L></L><C CID="rHOUWEM7-igJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="69"><U>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Over-the-Hill/</U><UE>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Over-the-Hill/</UE><T>Over the Hill</T><RK>0</RK><S>Mathematics. &lt;b&gt;Problem Solving&lt;/b&gt;—monitor and reflect on the ... &lt;b&gt;Reasoning&lt;/b&gt; with &lt;br&gt; algebraic symbols—connecting algebra ... &lt;b&gt;Reasoning&lt;/b&gt; with geometry—geometric.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120423090836-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20120423090839-04&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="Ycw6pr4nW2cJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="70"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=ZmNd7NAfMhQ%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DZmNd7NAfMhQ%253D</UE><T>&lt;b&gt;Reasoning&lt;/b&gt; in Geometric Modeling 4Chapter 4</T><RK>0</RK><S>to use and reason flexibly about mathematics to &lt;b&gt;solve&lt;/b&gt; a &lt;b&gt;problem&lt;/b&gt; is equally ... in &lt;br&gt; Focus in High School Mathematics: &lt;b&gt;Reasoning&lt;/b&gt; and Sense Making (NCTM 2009)&lt;br&gt; &amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100921120546-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100921120623-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///b5bbc3e5844ede4c52d7123b82f600dcec48dddbda149694328127e1ca7717d8"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="169"/><Attribute name="height" value="299"/><Attribute name="src" value="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRZ9RwnF1iAOHrdYwuOVeNdsxKh1JTMOxDymwxriaphKrW7epbZljCkyAY"/></DataObject></PageMap><HAS><L></L><C CID="wARO3AZC_rIJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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Phase 3 is when &lt;br&gt; students begin to “just know” the answer to an addition or subtraction &lt;b&gt;problem&lt;/b&gt;.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Publications/teaching_children_mathematics/2014/Vol21/Issue4/238-247%20Feat-Bay-Williams,%20etc_1.jpg"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="221"/><Attribute name="height" value="228"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcTV9K2T4p5jI6gcaTaF8jkEG4jdaMUadWY4V1145DVDOnkE-2nyVZhGNjI"/></DataObject></PageMap><HAS><L></L><C CID="ae7wqE0p4UcJ" SZ="190k"></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="52"><U>https://www.nctm.org/uploadedFiles/Standards_and_Positions/PtAExecutiveSummary.pdf</U><UE>https://www.nctm.org/uploadedFiles/Standards_and_Positions/PtAExecutiveSummary.pdf</UE><T>Principles to Actions Executive Summary</T><RK>0</RK><S>Implement tasks that promote &lt;b&gt;reasoning&lt;/b&gt; and &lt;b&gt;problem solving&lt;/b&gt;. Effective teaching &lt;br&gt; of mathematics engages students in solving and discussing tasks that promote&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20140402083443-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="moddate" value="D:20140402090400-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/></DataObject></PageMap><HAS><L></L><C CID="deV05MCIgLkJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R MIME="application/pdf" N="53"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=m5q0VNoluKA%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3Dm5q0VNoluKA%253D</UE><T>Table of Contents (PDF)</T><RK>0</RK><S>&lt;b&gt;Problem Solving&lt;/b&gt; . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52. &lt;br&gt; &lt;b&gt;Reasoning&lt;/b&gt; and Proof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56. &lt;br&gt; Communication&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20030512191016Z"/><Attribute name="moddate" value="D:20030512142250-05&#39;00&#39;"/><Attribute name="producer" value="Acrobat Distiller 5.0.5 for Macintosh"/></DataObject></PageMap><HAS><L></L><C CID="gRD6CS2gUZQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R N="54"><U>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/J_-Michael-Shaughnessy/Ring-in-the-New-Year-with-Reasoning-and-Sense-Making/</U><UE>http://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/J_-Michael-Shaughnessy/Ring-in-the-New-Year-with-Reasoning-and-Sense-Making/</UE><T>Ring in the New Year with &lt;b&gt;Reasoning&lt;/b&gt; and Sense Making - National ...</T><RK>0</RK><S>(3) Sustaining our focus on mathematical &lt;b&gt;reasoning&lt;/b&gt; 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around the Corner - National Council of Teachers ...</T><RK>0</RK><S>A one-hour investment in game playing produces improvements in geometric &lt;br&gt; &lt;b&gt;reasoning&lt;/b&gt; and &lt;b&gt;problem solving&lt;/b&gt;.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="qDpv-r4p9moJ" SZ="129k"></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R N="60"><U>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/</U><UE>http://www.nctm.org/Standards-and-Positions/Principles-and-Standards/</UE><T>Principles and Standards - National Council of Teachers of ...</T><RK>0</RK><S>(eBook) Using Classroom Assessment to Improve Student Learning: Math &lt;br&gt; &lt;b&gt;Problems&lt;/b&gt; Aligned with NCTM and Common Core State Standards (PDF).</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="http://www.nctm.org/uploadedImages/Standards_and_Positions/PSSMFlip.1.png"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="73"/><Attribute name="height" value="104"/><Attribute name="src" value="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSsE5xF957aIITvkyOl25CZFE4hx4UVCn0ChQaF-8Zb5w4CZGeKTCwTog"/></DataObject></PageMap><HAS><L></L><C CID="uN2AvFsWLRYJ" SZ="154k"></C><RT></RT></HAS></R></RES> </GSP> 
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mathematical &lt;b&gt;reasoning&lt;/b&gt;; use multiple representations to model and describe&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Judy O&#39;Neal"/><Attribute name="creator" value="Microsoft® Word 2010"/><Attribute name="creationdate" value="D:20140121200317-05&#39;00&#39;"/><Attribute name="moddate" value="D:20140121200317-05&#39;00&#39;"/><Attribute name="producer" value="Microsoft® Word 2010"/></DataObject></PageMap><HAS><L></L><C CID="lbjiecvmUhAJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="2"></RG><R MIME="application/pdf" N="42"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=cssOLhX1L74%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3DcssOLhX1L74%253D</UE><T>ABOUT THIS BOOK</T><RK>0</RK><S>Navigating through &lt;b&gt;Problem Solving and Reasoning&lt;/b&gt; in Grade 1 (2004). &lt;br&gt; Navigating through &lt;b&gt;Problem Solving and Reasoning&lt;/b&gt; in Grade 2 (2004). &lt;br&gt; Navigating&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20141003090908-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS6 (Macintosh)"/><Attribute name="moddate" value="D:20141003090943-04&#39;00&#39;"/><Attribute name="producer" value="Adobe PDF Library 10.0.1"/></DataObject></PageMap><HAS><L></L><C CID="aLpk4YTXU1YJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="3"></RG><R MIME="application/pdf" N="43"><U>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Pre-K_Grade_12_Common_Core_Series/9-12%20descriptions%20for%20web(1).pdf</U><UE>http://www.nctm.org/uploadedFiles/Conferences_and_Professional_Development/Institues/Pre-K_Grade_12_Common_Core_Series/9-12%2520descriptions%2520for%2520web(1).pdf</UE><T>Workshop Descriptions</T><RK>0</RK><S>Title: Algebra I Tasks that Promote &lt;b&gt;Reasoning&lt;/b&gt; and &lt;b&gt;Problem Solving&lt;/b&gt; ... sense &lt;br&gt; making, allow multiple entry points, and can be solved using varied solution&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="kkeith"/><Attribute name="creator" value="Microsoft® Word 2013"/><Attribute name="creationdate" value="D:20151109085436-05&#39;00&#39;"/><Attribute name="moddate" value="D:20151109085436-05&#39;00&#39;"/><Attribute name="producer" value="Microsoft® Word 2013"/></DataObject></PageMap><HAS><L></L><C CID="L3t3CnffBWEJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="4"></RG><R MIME="application/pdf" N="44"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=a1M6Zwo1inU%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3Da1M6Zwo1inU%253D</UE><T>&lt;b&gt;Reasoning&lt;/b&gt; about the Pythagorean Theorem</T><RK>0</RK><S>Navigating through &lt;b&gt;Problem Solving and Reasoning&lt;/b&gt; in Grades 6–8. Discussion. &lt;br&gt; The Pythagorean theorem states that the sum of the areas of squares.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20100323101655-04&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20100323101823-04&#39;00&#39;"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="x-raw-image:///9f39b3bd8d7ac3cfec98854a01b6364748e287ad75cb699cf15dfd6319ad3549"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="261"/><Attribute name="height" value="193"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRaq_J8eQySIOFs49XxbOZDDoUBYYaDWdGjwJBzNWgrBdpXg6qhvG7fII8"/></DataObject></PageMap><HAS><L></L><RT></RT></HAS></R><RG SIZE="1" START="5"></RG><R MIME="application/pdf" N="45"><U>http://www.nctm.org/uploadedFiles/Standards_and_Positions/CAEP_Standards/NCTM%20CAEP%20Standards%202012%20-%20Secondary.pdf</U><UE>http://www.nctm.org/uploadedFiles/Standards_and_Positions/CAEP_Standards/NCTM%2520CAEP%2520Standards%25202012%2520-%2520Secondary.pdf</UE><T>NCTM CAEP Standards (2012) – Secondary (Initial Preparation)</T><RK>0</RK><S>Effective teachers of secondary mathematics &lt;b&gt;solve problems&lt;/b&gt;, represent ... &lt;br&gt; mathematical &lt;b&gt;reasoning&lt;/b&gt;; use multiple representations to model and describe&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="Judy O&#39;Neal"/><Attribute name="creator" value="Microsoft® Word 2010"/><Attribute name="creationdate" value="D:20140121200434-05&#39;00&#39;"/><Attribute name="moddate" value="D:20140121200434-05&#39;00&#39;"/><Attribute name="producer" value="Microsoft® Word 2010"/></DataObject></PageMap><HAS><L></L><C CID="KzAKKHz_VvQJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="6"></RG><R N="46"><U>http://www.nctm.org/Research-and-Advocacy/research-brief-and-clips/Algebraic-Reasoning-in-School-Algebra/</U><UE>http://www.nctm.org/Research-and-Advocacy/research-brief-and-clips/Algebraic-Reasoning-in-School-Algebra/</UE><T>Algebraic &lt;b&gt;Reasoning&lt;/b&gt; in School Algebra - National Council of ...</T><RK>0</RK><S>Recent research in algebra teaching and learning has included a focus on the &lt;br&gt; &lt;b&gt;solving&lt;/b&gt; of word &lt;b&gt;problems&lt;/b&gt; and the activity of conjecturing and proving.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject></PageMap><HAS><L></L><C CID="iuKPkZW-eg0J" SZ="107k"></C><RT></RT></HAS></R><RG SIZE="1" START="7"></RG><R N="47"><U>https://www.nctm.org/store/Products/(eBook)-Focus-in-High-School--Technology-to-Support-Reasoning-and-Sense-Making-(PDF)/</U><UE>https://www.nctm.org/store/Products/(eBook)-Focus-in-High-School--Technology-to-Support-Reasoning-and-Sense-Making-(PDF)/</UE><T>(eBook) Focus in High School: Technology to Support &lt;b&gt;Reasoning&lt;/b&gt; ...</T><RK>0</RK><S>&lt;b&gt;Reasoning&lt;/b&gt; and sense making are at the heart of the high school curriculum and &lt;br&gt; ... Core State Standards through Mathematical &lt;b&gt;Problem Solving&lt;/b&gt;: High School&amp;nbsp;...</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="viewport" value="width=device-width, initial-scale=1"/><Attribute name="twitter:widgets:csp" value="on"/></DataObject><DataObject type="cse_image"><Attribute name="src" value="https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=e4EXGJKSly0%3D"/></DataObject><DataObject type="cse_thumbnail"><Attribute name="width" value="78"/><Attribute name="height" value="112"/><Attribute name="src" value="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRSzaNAiUqGQH8piphqulpGdPRMqzP5E9zvnAnzls-k4hsGoFE5lIM0"/></DataObject></PageMap><HAS><L></L><C CID="ZzziKqTFKoMJ" SZ="132k"></C><RT></RT></HAS></R><RG SIZE="1" START="8"></RG><R MIME="application/vnd.openxmlformats-officedocument.presentationml.presentation" N="48"><U>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/1-ES-DiBrienza-Slides/</U><UE>http://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Resources/1-ES-DiBrienza-Slides/</UE><T>Principles to actions: Ensuring mathematical success for all</T><RK>0</RK><S>Make sense of &lt;b&gt;problems&lt;/b&gt; and persevere in &lt;b&gt;solving&lt;/b&gt; them. Reason abstractly and &lt;br&gt; quantitatively. Construct viable arguments and critique the &lt;b&gt;reasoning&lt;/b&gt; of others.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="author" value="dh"/><Attribute name="last saved by" value="dh"/><Attribute name="revision number" value="303"/><Attribute name="creation date" value="11/10/2014 17:34:51"/><Attribute name="last saved date" value="11/8/2015 21:16:57"/><Attribute name="edit minutes" value="3540"/><Attribute name="word count" value="4074"/><Attribute name="source" value="Microsoft Macintosh PowerPoint"/><Attribute name="presentation format" value="On-screen Show (4:3)"/><Attribute name="count paragraphs" value="409"/><Attribute name="slides" value="28"/><Attribute name="slide notes" value="28"/><Attribute name="hidden slides" value="0"/><Attribute name="multimedia clips" value="0"/><Attribute name="scale crop" value="no"/><Attribute name="links up to date" value="no"/><Attribute name="shared doc" value="no"/><Attribute name="links dirty" value="no"/><Attribute name="application version" value="14.0000"/></DataObject></PageMap><HAS><L></L><C CID="te2Ewh1l9hUJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="9"></RG><R MIME="application/pdf" N="49"><U>https://www.nctm.org/Handlers/AttachmentHandler.ashx?attachmentID=%2Fw0S2nf5ZTo%3D</U><UE>https://www.nctm.org/Handlers/AttachmentHandler.ashx%3FattachmentID%3D%252Fw0S2nf5ZTo%253D</UE><T>Table of Contents</T><RK>0</RK><S>Part 1: &lt;b&gt;Reasoning&lt;/b&gt;, Communicating, &lt;b&gt;Problem Solving&lt;/b&gt; . . . . . . . . . . . . . . . . . . . . . 3. &lt;br&gt; Section 1: &lt;b&gt;Reasoning&lt;/b&gt;, Student Thinking, and Invented Strategies . . . . . . . . . 5.</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="producer" value="Acrobat Distiller 5.0.5 for Macintosh"/><Attribute name="moddate" value="Tue Jul 22 08:46:27 2003"/><Attribute name="creationdate" value="Tue Jul 22 08:46:27 2003"/></DataObject></PageMap><HAS><L></L><C CID="YEJUp-gv9FwJ" SZ=""></C><RT></RT></HAS></R><RG SIZE="1" START="10"></RG><R MIME="application/pdf" N="50"><U>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Crow/</U><UE>http://www.nctm.org/Standards-and-Positions/Focus-in-High-School-Mathematics/Reasoning-and-Sense-Making-Task-Library/Crow/</UE><T>As the Crow Flies</T><RK>0</RK><S>solution. Process Standards. Principles and Standards for School ... &lt;b&gt;Problem&lt;/b&gt; &lt;br&gt; &lt;b&gt;Solving&lt;/b&gt;—build new mathematical ... &lt;b&gt;Reasoning&lt;/b&gt; with geometry—construction and&lt;br&gt; .</S><LANG>en</LANG><Label>_cse_9xpvoxti6co</Label><PageMap><DataObject type="metatags"><Attribute name="creationdate" value="D:20120203102949-05&#39;00&#39;"/><Attribute name="creator" value="Adobe InDesign CS3 (5.0.4)"/><Attribute name="producer" value="Adobe PDF Library 8.0"/><Attribute name="moddate" value="D:20120203102950-05&#39;00&#39;"/></DataObject></PageMap><HAS><L></L><C CID="UHx-711-nfIJ" SZ=""></C><RT></RT></HAS></R></RES> </GSP> 
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