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	<title>
	Comments on: The Difference Between Sketching and Graphing	</title>
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	<description>less helpful</description>
	<lastBuildDate>Tue, 07 Jun 2016 17:47:13 +0000</lastBuildDate>
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		<title>
		By: Dan Meyer		</title>
		<link>/2016/sketching-v-graphing/#comment-2422091</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Tue, 07 Jun 2016 17:47:13 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2422091</guid>

					<description><![CDATA[Lots of happy thoughts about that idea. We have a concept of &quot;copying forward&quot; student work from one graph to the next. Copying sketches forward seems like a natural extension.]]></description>
			<content:encoded><![CDATA[<p>Lots of happy thoughts about that idea. We have a concept of &#8220;copying forward&#8221; student work from one graph to the next. Copying sketches forward seems like a natural extension.</p>
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		<title>
		By: Karim		</title>
		<link>/2016/sketching-v-graphing/#comment-2421911</link>

		<dc:creator><![CDATA[Karim]]></dc:creator>
		<pubDate>Sat, 04 Jun 2016 19:22:32 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421911</guid>

					<description><![CDATA[Any thoughts on having sketch and graph both be options on the same screen? To Travis’s point, it’d be nice to be able to draw a sketch and then try to create the corresponding equation/graph: refining towards precision. (If you want to preserve the role of each approach in a single screen, any thought on allowing copy-forward of a sketch into a graph?)]]></description>
			<content:encoded><![CDATA[<p>Any thoughts on having sketch and graph both be options on the same screen? To Travis’s point, it’d be nice to be able to draw a sketch and then try to create the corresponding equation/graph: refining towards precision. (If you want to preserve the role of each approach in a single screen, any thought on allowing copy-forward of a sketch into a graph?)</p>
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		<title>
		By: Roberto Catanuto		</title>
		<link>/2016/sketching-v-graphing/#comment-2421846</link>

		<dc:creator><![CDATA[Roberto Catanuto]]></dc:creator>
		<pubDate>Fri, 03 Jun 2016 12:59:32 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421846</guid>

					<description><![CDATA[I absolutely support the idea of sketching as a necessary part of the learning path in Math. 

My students have so many troubles while moving from the informal to the formal, especially because they&#039;ve been erroneously taught to start with the formal.]]></description>
			<content:encoded><![CDATA[<p>I absolutely support the idea of sketching as a necessary part of the learning path in Math. </p>
<p>My students have so many troubles while moving from the informal to the formal, especially because they&#8217;ve been erroneously taught to start with the formal.</p>
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		<title>
		By: Dina Kubba		</title>
		<link>/2016/sketching-v-graphing/#comment-2421744</link>

		<dc:creator><![CDATA[Dina Kubba]]></dc:creator>
		<pubDate>Wed, 01 Jun 2016 05:55:10 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421744</guid>

					<description><![CDATA[This is a great idea - don&#039;t we always tell our students to &quot;draw a picture&quot; as a way into problems.  I have had students who could solve this algebraically (they have learned what an asymptote means in an equation) but then still didn&#039;t understand how their equation related to the graph of the function.  One of my main goals each year is to help my students see the connections between the &quot;pictures&quot; and the symbols.]]></description>
			<content:encoded><![CDATA[<p>This is a great idea &#8211; don&#8217;t we always tell our students to &#8220;draw a picture&#8221; as a way into problems.  I have had students who could solve this algebraically (they have learned what an asymptote means in an equation) but then still didn&#8217;t understand how their equation related to the graph of the function.  One of my main goals each year is to help my students see the connections between the &#8220;pictures&#8221; and the symbols.</p>
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		<title>
		By: Dan Meyer		</title>
		<link>/2016/sketching-v-graphing/#comment-2421568</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Sun, 29 May 2016 01:52:36 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421568</guid>

					<description><![CDATA[Really interesting use case, &lt;strong&gt;Kevin&lt;/strong&gt;. I&#039;ll take this back to my design team for discussions.]]></description>
			<content:encoded><![CDATA[<p>Really interesting use case, <strong>Kevin</strong>. I&#8217;ll take this back to my design team for discussions.</p>
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		<title>
		By: Kevin Hall		</title>
		<link>/2016/sketching-v-graphing/#comment-2421545</link>

		<dc:creator><![CDATA[Kevin Hall]]></dc:creator>
		<pubDate>Sat, 28 May 2016 18:43:12 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421545</guid>

					<description><![CDATA[@Dan, lots of reasons: 

(1) Feedback like, &quot;You have 3 incorrect matches&quot; is intentionally very limited so it doesn&#039;t give too much away.  It&#039;ll prompt a bit of whining for more specific hints.  So I&#039;ll have to extricate myself from the conversation without caving to student requests for more help than I want to give.  Rather than saying no, it&#039;s simpler to engineer the situation so the request doesn&#039;t arise.  In addition, when feedback is so intentionally limited, I  don&#039;t see how delivering it personally or verbally will help.  Personal, verbal feedback is only helpful for longer, more discursive teacher replies.  I&#039;m not ready yet to give that kind of help until the kids have had at least a few minutes to think about the little hint.  What I&#039;d really like is the option to let Desmos tell the group how many matches were wrong, and simultaneously to have Desmos start a little countdown clock next to the group names in my dashboard so that if they haven&#039;t corrected their mistake in 5 minutes, I get prompted to go intervene in person.  

(2)  If I choose C, I&#039;ll want to eavesdrop on the conversation between the groups so I know if one group just tells the other group the answers.  To do that, I can&#039;t be talking to any other groups at that time.  

(3) I&#039;m imagining a room with 28 kids.  Once I launch your activity, I&#039;ll want to sit with the English Language Learners and check their understanding of the instructions and hold their hands through the first part.  I may also have 1-2 students who really need me to be their group partners because  students with special needs sometimes struggle with group work. This can be the case for students with autism, students with emotional disabilities, or for students who have been absent for the last 3 weeks (e.g., grandma got sick back in Guatemala, so the whole family went down there to be supportive).  Sometimes I have a co-teacher to help with needs like these, and sometimes I don&#039;t.  Even when I do, it&#039;s really hard to support the students who are struggling while simultaneously giving good feedback to my top 50%.  There are days when almost all of my energy is going to struggling students.  On days like this, anything you can do to help me serve the top students better is a god-send.]]></description>
			<content:encoded><![CDATA[<p>@Dan, lots of reasons: </p>
<p>(1) Feedback like, &#8220;You have 3 incorrect matches&#8221; is intentionally very limited so it doesn&#8217;t give too much away.  It&#8217;ll prompt a bit of whining for more specific hints.  So I&#8217;ll have to extricate myself from the conversation without caving to student requests for more help than I want to give.  Rather than saying no, it&#8217;s simpler to engineer the situation so the request doesn&#8217;t arise.  In addition, when feedback is so intentionally limited, I  don&#8217;t see how delivering it personally or verbally will help.  Personal, verbal feedback is only helpful for longer, more discursive teacher replies.  I&#8217;m not ready yet to give that kind of help until the kids have had at least a few minutes to think about the little hint.  What I&#8217;d really like is the option to let Desmos tell the group how many matches were wrong, and simultaneously to have Desmos start a little countdown clock next to the group names in my dashboard so that if they haven&#8217;t corrected their mistake in 5 minutes, I get prompted to go intervene in person.  </p>
<p>(2)  If I choose C, I&#8217;ll want to eavesdrop on the conversation between the groups so I know if one group just tells the other group the answers.  To do that, I can&#8217;t be talking to any other groups at that time.  </p>
<p>(3) I&#8217;m imagining a room with 28 kids.  Once I launch your activity, I&#8217;ll want to sit with the English Language Learners and check their understanding of the instructions and hold their hands through the first part.  I may also have 1-2 students who really need me to be their group partners because  students with special needs sometimes struggle with group work. This can be the case for students with autism, students with emotional disabilities, or for students who have been absent for the last 3 weeks (e.g., grandma got sick back in Guatemala, so the whole family went down there to be supportive).  Sometimes I have a co-teacher to help with needs like these, and sometimes I don&#8217;t.  Even when I do, it&#8217;s really hard to support the students who are struggling while simultaneously giving good feedback to my top 50%.  There are days when almost all of my energy is going to struggling students.  On days like this, anything you can do to help me serve the top students better is a god-send.</p>
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		<title>
		By: Michael Pershan		</title>
		<link>/2016/sketching-v-graphing/#comment-2421453</link>

		<dc:creator><![CDATA[Michael Pershan]]></dc:creator>
		<pubDate>Fri, 27 May 2016 18:19:12 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421453</guid>

					<description><![CDATA[A random thought. As noted above, Desmos gives oodles of feedback to students in the form of the responsivity of graphs or diagrams or the ideas of classmates. Desmos doesn&#039;t give feedback in the form of things that feel like the computer is the teacher.

Could it be that the issue is about the metaphors we use? The sort of feedback Desmos currently gives presents itself to the student using the metaphor of &quot;Desmos as an environment.&quot; The sort of feedback Desmos is reluctant to give the student would employ the metaphor &quot;Desmos as a teacher.&quot; 

Can students juggle both metaphors at once?]]></description>
			<content:encoded><![CDATA[<p>A random thought. As noted above, Desmos gives oodles of feedback to students in the form of the responsivity of graphs or diagrams or the ideas of classmates. Desmos doesn&#8217;t give feedback in the form of things that feel like the computer is the teacher.</p>
<p>Could it be that the issue is about the metaphors we use? The sort of feedback Desmos currently gives presents itself to the student using the metaphor of &#8220;Desmos as an environment.&#8221; The sort of feedback Desmos is reluctant to give the student would employ the metaphor &#8220;Desmos as a teacher.&#8221; </p>
<p>Can students juggle both metaphors at once?</p>
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		<title>
		By: Dan Meyer		</title>
		<link>/2016/sketching-v-graphing/#comment-2421452</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Fri, 27 May 2016 18:10:57 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421452</guid>

					<description><![CDATA[@&lt;strong&gt;Kevin&lt;/strong&gt;, in a class of fewer than fifty students, I&#039;d prefer to give that feedback personally and verbally. What&#039;s your interest in having a computer &lt;em&gt;deliver&lt;/em&gt;, rather than just &lt;em&gt;inform&lt;/em&gt;, that feedback?]]></description>
			<content:encoded><![CDATA[<p>@<strong>Kevin</strong>, in a class of fewer than fifty students, I&#8217;d prefer to give that feedback personally and verbally. What&#8217;s your interest in having a computer <em>deliver</em>, rather than just <em>inform</em>, that feedback?</p>
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		<title>
		By: Kevin Hall		</title>
		<link>/2016/sketching-v-graphing/#comment-2421433</link>

		<dc:creator><![CDATA[Kevin Hall]]></dc:creator>
		<pubDate>Fri, 27 May 2016 12:57:35 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421433</guid>

					<description><![CDATA[Dan, are you saying that the dashboard will prompt the teacher to choose feedback option a, b, or c, and then Desmos will automatically pop that feedback up on the student&#039;s screen?  So, for example, I don&#039;t personally have to count how many matches the student got wrong, I just have to click option a, and a dialogue box appears on the student&#039;s screen saying something like &quot;Mr. Hall wants you to know that you got 3 matches incorrect&quot;?  

If so, this sounds really cool.]]></description>
			<content:encoded><![CDATA[<p>Dan, are you saying that the dashboard will prompt the teacher to choose feedback option a, b, or c, and then Desmos will automatically pop that feedback up on the student&#8217;s screen?  So, for example, I don&#8217;t personally have to count how many matches the student got wrong, I just have to click option a, and a dialogue box appears on the student&#8217;s screen saying something like &#8220;Mr. Hall wants you to know that you got 3 matches incorrect&#8221;?  </p>
<p>If so, this sounds really cool.</p>
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		<title>
		By: Michael Pershan		</title>
		<link>/2016/sketching-v-graphing/#comment-2421400</link>

		<dc:creator><![CDATA[Michael Pershan]]></dc:creator>
		<pubDate>Thu, 26 May 2016 23:15:53 +0000</pubDate>
		<guid isPermaLink="false">/?p=24919#comment-2421400</guid>

					<description><![CDATA[This all sounds smart and cautious. I&#039;m sure it&#039;ll be great.]]></description>
			<content:encoded><![CDATA[<p>This all sounds smart and cautious. I&#8217;m sure it&#8217;ll be great.</p>
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