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	Comments on: Ed Begle&#8217;s First And Second Laws Of Mathematics Education	</title>
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	<description>less helpful</description>
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		<title>
		By: Mike Shaughnessy		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2418004</link>

		<dc:creator><![CDATA[Mike Shaughnessy]]></dc:creator>
		<pubDate>Wed, 24 Feb 2016 05:04:36 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2418004</guid>

					<description><![CDATA[Dan,

Nice to see you tracing into your Stanford, and Math Ed, roots. As a high school student, my school was one of the &#039;experimental&#039; trial schools for the SMSG curriculum. Oh, you should have seen (maybe you have) the mimeographed materials we worked from.]]></description>
			<content:encoded><![CDATA[<p>Dan,</p>
<p>Nice to see you tracing into your Stanford, and Math Ed, roots. As a high school student, my school was one of the &#8216;experimental&#8217; trial schools for the SMSG curriculum. Oh, you should have seen (maybe you have) the mimeographed materials we worked from.</p>
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		<title>
		By: Brian R Lawler		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417987</link>

		<dc:creator><![CDATA[Brian R Lawler]]></dc:creator>
		<pubDate>Tue, 23 Feb 2016 23:16:09 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417987</guid>

					<description><![CDATA[Begle &#038; Polya were very significant influences on Maths Ed. I was fortunate to study under two of his students at UGA, Jim Wilson &#038; Jeremy Kilpatrick. http://genealogy.math.ndsu.nodak.edu/id.php?id=24489]]></description>
			<content:encoded><![CDATA[<p>Begle &amp; Polya were very significant influences on Maths Ed. I was fortunate to study under two of his students at UGA, Jim Wilson &amp; Jeremy Kilpatrick. <a href="http://genealogy.math.ndsu.nodak.edu/id.php?id=24489" rel="nofollow ugc">http://genealogy.math.ndsu.nodak.edu/id.php?id=24489</a></p>
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		<title>
		By: Kevin Hall		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417759</link>

		<dc:creator><![CDATA[Kevin Hall]]></dc:creator>
		<pubDate>Sat, 20 Feb 2016 03:33:14 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417759</guid>

					<description><![CDATA[My sense is that there are TONS of things that have been found to work, mostly in the category of teaching techniques, but that none of them have been found to be scalable.  As a result, almost no strategies pan out in large-scale randomized trials. 

My personal example is a discussion technique called Accountable Talk, which I&#039;ve been trying to learn to do for years.  I&#039;m not sure it&#039;ll ever work for me.   That said, each of these techniques can be mastered, and when they are, you usually get great results.  (This is a falsifiable statement, in the sense that recognized experts in these techniques can reliably identify others teachers who are using them faithfully, and those other teachers&#039; students will generally be found to learn quite well).]]></description>
			<content:encoded><![CDATA[<p>My sense is that there are TONS of things that have been found to work, mostly in the category of teaching techniques, but that none of them have been found to be scalable.  As a result, almost no strategies pan out in large-scale randomized trials. </p>
<p>My personal example is a discussion technique called Accountable Talk, which I&#8217;ve been trying to learn to do for years.  I&#8217;m not sure it&#8217;ll ever work for me.   That said, each of these techniques can be mastered, and when they are, you usually get great results.  (This is a falsifiable statement, in the sense that recognized experts in these techniques can reliably identify others teachers who are using them faithfully, and those other teachers&#8217; students will generally be found to learn quite well).</p>
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		<title>
		By: Howard Phillips		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417738</link>

		<dc:creator><![CDATA[Howard Phillips]]></dc:creator>
		<pubDate>Fri, 19 Feb 2016 15:04:18 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417738</guid>

					<description><![CDATA[There seems to me to be somewhat of a pointlessness about the search for &quot;The Best Method Of Teaching Math&quot; when there is no agreement about the purpose of teaching math, and not a lot of agreement on the content. All I see at the present time, and earlier as well, is measurement of skill in carrying out procedures. Rather limited, isn&#039;t it?]]></description>
			<content:encoded><![CDATA[<p>There seems to me to be somewhat of a pointlessness about the search for &#8220;The Best Method Of Teaching Math&#8221; when there is no agreement about the purpose of teaching math, and not a lot of agreement on the content. All I see at the present time, and earlier as well, is measurement of skill in carrying out procedures. Rather limited, isn&#8217;t it?</p>
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		By: Tom Hoffman		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417736</link>

		<dc:creator><![CDATA[Tom Hoffman]]></dc:creator>
		<pubDate>Fri, 19 Feb 2016 14:46:06 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417736</guid>

					<description><![CDATA[Oh, by &quot;they&quot; I meant the corporate reform movement writ large -- Common Core, RttT, etc.  It seems clear to me that if you aren&#039;t starting from a solid consensus -- like, say, Japan&#039;s curriculum -- and steadily iterating on that... well, if you don&#039;t have that, you have a very large problem.  Throw in the partisan &quot;math wars&quot; part, and it is pretty much impossible.]]></description>
			<content:encoded><![CDATA[<p>Oh, by &#8220;they&#8221; I meant the corporate reform movement writ large &#8212; Common Core, RttT, etc.  It seems clear to me that if you aren&#8217;t starting from a solid consensus &#8212; like, say, Japan&#8217;s curriculum &#8212; and steadily iterating on that&#8230; well, if you don&#8217;t have that, you have a very large problem.  Throw in the partisan &#8220;math wars&#8221; part, and it is pretty much impossible.</p>
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		<title>
		By: Patrick Honner		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417724</link>

		<dc:creator><![CDATA[Patrick Honner]]></dc:creator>
		<pubDate>Fri, 19 Feb 2016 00:15:41 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417724</guid>

					<description><![CDATA[&quot;&lt;i&gt;In short, the problem of teaching better mathematics is under control.&lt;/i&gt;&quot;

Begle lost me at the end of paragraph two.]]></description>
			<content:encoded><![CDATA[<p>&#8220;<i>In short, the problem of teaching better mathematics is under control.</i>&#8221;</p>
<p>Begle lost me at the end of paragraph two.</p>
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		By: dy/dan &#187; Blog Archive &#187; When Delayed Feedback Is Superior To Immediate Feedback		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417722</link>

		<dc:creator><![CDATA[dy/dan &#187; Blog Archive &#187; When Delayed Feedback Is Superior To Immediate Feedback]]></dc:creator>
		<pubDate>Thu, 18 Feb 2016 23:38:57 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417722</guid>

					<description><![CDATA[[&#8230;] Corollary to Begle&#8217;s Second Law applies. If someone says it&#8217;s simple, they&#8217;re selling you [&#8230;]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] Corollary to Begle&#8217;s Second Law applies. If someone says it&#8217;s simple, they&#8217;re selling you [&#8230;]</p>
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		<title>
		By: Dan Meyer		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417721</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Thu, 18 Feb 2016 23:03:02 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417721</guid>

					<description><![CDATA[@&lt;strong&gt;Tom&lt;/strong&gt;, by &quot;they&quot; are you referring to SMSG or (more likely?) Achieve, Pearson, etc?

Also: if established players can&#039;t do it (old processes) and insurgents can&#039;t do it (no political capital) —Â who can do it?

&lt;strong&gt;Chris W&lt;/strong&gt;:

&lt;blockquote&gt; Let’s use progress monitoring to make sound decisions about what our students know and what they need more time to learn.&lt;/blockquote&gt;

It&#039;s interesting to note that this isn&#039;t a new idea, and it&#039;s a tried idea, and it&#039;s been found wanting in the era of the SMSG. (Read Begle on IPI in the linked speech.) Before I can get excited about another adaptive learning proposal, I&#039;d want to understand how it differs from every other similar proposal that&#039;s been tried.

&lt;strong&gt;Scott Hill&lt;/strong&gt;:

&lt;blockquote&gt;Practice is good, exploration has its place and rarely (if ever) does any student truly benefit, at least in math from being socially promoted. Getting acceptance of these ideas is hard enough (on par with me getting 100% compliance from my students on their homework at least)&lt;/blockquote&gt;

Confusingly, neither do students benefit from &lt;a href=&quot;http://www.edweek.org/ew/issues/social-promotion/&quot; rel=&quot;nofollow&quot;&gt;grade retention&lt;/a&gt;. #begles2ndlaw

&lt;strong&gt;Howard Phillips&lt;/strong&gt;:

&lt;blockquote&gt;Can you get a better scan?&lt;/blockquote&gt;

Short of driving to (I believe) UT Austin and tracking down the original microfiche, nope.]]></description>
			<content:encoded><![CDATA[<p>@<strong>Tom</strong>, by &#8220;they&#8221; are you referring to SMSG or (more likely?) Achieve, Pearson, etc?</p>
<p>Also: if established players can&#8217;t do it (old processes) and insurgents can&#8217;t do it (no political capital) —Â who can do it?</p>
<p><strong>Chris W</strong>:</p>
<blockquote><p> Let’s use progress monitoring to make sound decisions about what our students know and what they need more time to learn.</p></blockquote>
<p>It&#8217;s interesting to note that this isn&#8217;t a new idea, and it&#8217;s a tried idea, and it&#8217;s been found wanting in the era of the SMSG. (Read Begle on IPI in the linked speech.) Before I can get excited about another adaptive learning proposal, I&#8217;d want to understand how it differs from every other similar proposal that&#8217;s been tried.</p>
<p><strong>Scott Hill</strong>:</p>
<blockquote><p>Practice is good, exploration has its place and rarely (if ever) does any student truly benefit, at least in math from being socially promoted. Getting acceptance of these ideas is hard enough (on par with me getting 100% compliance from my students on their homework at least)</p></blockquote>
<p>Confusingly, neither do students benefit from <a href="http://www.edweek.org/ew/issues/social-promotion/" rel="nofollow">grade retention</a>. #begles2ndlaw</p>
<p><strong>Howard Phillips</strong>:</p>
<blockquote><p>Can you get a better scan?</p></blockquote>
<p>Short of driving to (I believe) UT Austin and tracking down the original microfiche, nope.</p>
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		<title>
		By: Scott Hills		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417719</link>

		<dc:creator><![CDATA[Scott Hills]]></dc:creator>
		<pubDate>Thu, 18 Feb 2016 19:50:33 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417719</guid>

					<description><![CDATA[My own experience in teaching mathematics, albeit only about 20 years worth, illustrates the constant Flux in ideas.  Levelling-mainstreaming-discovery-mindset-adaptive-rinse and repeat shows that rarely are those people who really understand data given sufficient time to evaluate their own results.  Neverending the truism that every group, nay every learner is unique in their own way of approaching the material as well as deficiencies.  The idea, popular as it is with writers and administrators that all one needs to do is present a clear and good lesson and everything will fall right into place.  

Practice is good, exploration has its place and rarely (if ever) does any student truly benefit, at least in math from being socially promoted.  Getting acceptance of these ideas is hard enough (on par with me getting 100% compliance from my students on their homework at least)]]></description>
			<content:encoded><![CDATA[<p>My own experience in teaching mathematics, albeit only about 20 years worth, illustrates the constant Flux in ideas.  Levelling-mainstreaming-discovery-mindset-adaptive-rinse and repeat shows that rarely are those people who really understand data given sufficient time to evaluate their own results.  Neverending the truism that every group, nay every learner is unique in their own way of approaching the material as well as deficiencies.  The idea, popular as it is with writers and administrators that all one needs to do is present a clear and good lesson and everything will fall right into place.  </p>
<p>Practice is good, exploration has its place and rarely (if ever) does any student truly benefit, at least in math from being socially promoted.  Getting acceptance of these ideas is hard enough (on par with me getting 100% compliance from my students on their homework at least)</p>
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		<title>
		By: Chris W		</title>
		<link>/2016/ed-begles-first-and-second-laws-of-mathematics-education/#comment-2417714</link>

		<dc:creator><![CDATA[Chris W]]></dc:creator>
		<pubDate>Thu, 18 Feb 2016 16:54:37 +0000</pubDate>
		<guid isPermaLink="false">/?p=24467#comment-2417714</guid>

					<description><![CDATA[The longer I am in education and the longer the challenges continue, I can&#039;t help but think we need to make some systematic changes (specifically in mathematics education).

First, we make a broad and, in my opinion, inaccurate assumption that all children are capable of learning a defined set of information solely because of their age.  Many children never gain a mastery of skills before they are introduced to a new set of skills. In all likelihood, the new skills require a mastery of the previous set of skills. 

It is no wonder that the above described situation leads to two things; students who don&#039;t feel confident in math and students who don&#039;t like math. The first feeds into the second.

We are stuck in a system that was developed at the dawn of the industrial revolution and we treat our students as though they are part of an assembly line.

We need to think creatively about how we group children for success starting at an early age.  This idea conjures up that I advocate &quot;leveling&quot;.  This term developed its negative reputation as a result of how ineffectively it was used in classes prior to the heterogeneous classroom grouping. Children were leveled based on very little data. The delivery of math education that I envision is far more complex.

What is vastly different now is that we have solid tools understand the needs of each learner. Let&#039;s use progress monitoring to make sound decisions about what our students know and what they need more time to learn.

My prediction is that if we created a system based on this approach, it would be extremely cost effective. A regular teacher could effectively meet the needs of his/her students. There would far less demand for special education thus saving districts money.]]></description>
			<content:encoded><![CDATA[<p>The longer I am in education and the longer the challenges continue, I can&#8217;t help but think we need to make some systematic changes (specifically in mathematics education).</p>
<p>First, we make a broad and, in my opinion, inaccurate assumption that all children are capable of learning a defined set of information solely because of their age.  Many children never gain a mastery of skills before they are introduced to a new set of skills. In all likelihood, the new skills require a mastery of the previous set of skills. </p>
<p>It is no wonder that the above described situation leads to two things; students who don&#8217;t feel confident in math and students who don&#8217;t like math. The first feeds into the second.</p>
<p>We are stuck in a system that was developed at the dawn of the industrial revolution and we treat our students as though they are part of an assembly line.</p>
<p>We need to think creatively about how we group children for success starting at an early age.  This idea conjures up that I advocate &#8220;leveling&#8221;.  This term developed its negative reputation as a result of how ineffectively it was used in classes prior to the heterogeneous classroom grouping. Children were leveled based on very little data. The delivery of math education that I envision is far more complex.</p>
<p>What is vastly different now is that we have solid tools understand the needs of each learner. Let&#8217;s use progress monitoring to make sound decisions about what our students know and what they need more time to learn.</p>
<p>My prediction is that if we created a system based on this approach, it would be extremely cost effective. A regular teacher could effectively meet the needs of his/her students. There would far less demand for special education thus saving districts money.</p>
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