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	<title>
	Comments on: &#8220;If something cannot go on forever, it will stop.&#8221;	</title>
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	<description>less helpful</description>
	<lastBuildDate>Wed, 30 Oct 2019 03:23:14 +0000</lastBuildDate>
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		<title>
		By: Malini Dasgupta		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2458167</link>

		<dc:creator><![CDATA[Malini Dasgupta]]></dc:creator>
		<pubDate>Wed, 30 Oct 2019 03:23:14 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2458167</guid>

					<description><![CDATA[Schools should be buying classroom sets of whatever Texas Instrument calculators the teachers are requiring. After all, if the main reason we still have the TI’s is for standardized testing, which is something students are being required to do by the state, then it makes sense for public schools to provide these calculators free of cost to students. I also think teaching students how to use a TI calculator is not as hard as everyone seems to think it is. Dedicating a few lessons to modeling how to use them, and then providing students with some opportunities to practice with them in class on their own should suffice for the purposes of using them on standardized tests. As someone who took the ACT and AP math exams somewhat recently, I remember these standardized tests as being largely focused on conceptual and procedural understanding, requiring only minimal calculator use. The rest of the time (i.e. whenever the students are not practicing for a standardized test), students can use free-to-the-user alternatives like Desmos or SageMath, especially at home.]]></description>
			<content:encoded><![CDATA[<p>Schools should be buying classroom sets of whatever Texas Instrument calculators the teachers are requiring. After all, if the main reason we still have the TI’s is for standardized testing, which is something students are being required to do by the state, then it makes sense for public schools to provide these calculators free of cost to students. I also think teaching students how to use a TI calculator is not as hard as everyone seems to think it is. Dedicating a few lessons to modeling how to use them, and then providing students with some opportunities to practice with them in class on their own should suffice for the purposes of using them on standardized tests. As someone who took the ACT and AP math exams somewhat recently, I remember these standardized tests as being largely focused on conceptual and procedural understanding, requiring only minimal calculator use. The rest of the time (i.e. whenever the students are not practicing for a standardized test), students can use free-to-the-user alternatives like Desmos or SageMath, especially at home.</p>
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		<title>
		By: Leigh Ann Mahaffie		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2458164</link>

		<dc:creator><![CDATA[Leigh Ann Mahaffie]]></dc:creator>
		<pubDate>Tue, 29 Oct 2019 22:29:40 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2458164</guid>

					<description><![CDATA[I am struggling with this!  I have opted not to put out my class set of TIs this school year, and let kids use their phones for calculator use.  I spend a significant amount of time saying &quot;if you aren&#039;t using the calc app, put your phone away&quot;.  Even my most responsible students feel the tug of just checking their Snapchat, or their messages, or other apps.  As I walk around, I am spending more time policing the phones, than I am checking their understanding.  The TIs are looking better and better, daily.  I can say &quot;phones away&quot; and not have to worry whether they are on-task.]]></description>
			<content:encoded><![CDATA[<p>I am struggling with this!  I have opted not to put out my class set of TIs this school year, and let kids use their phones for calculator use.  I spend a significant amount of time saying &#8220;if you aren&#8217;t using the calc app, put your phone away&#8221;.  Even my most responsible students feel the tug of just checking their Snapchat, or their messages, or other apps.  As I walk around, I am spending more time policing the phones, than I am checking their understanding.  The TIs are looking better and better, daily.  I can say &#8220;phones away&#8221; and not have to worry whether they are on-task.</p>
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		<title>
		By: Eric Henry		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2458151</link>

		<dc:creator><![CDATA[Eric Henry]]></dc:creator>
		<pubDate>Tue, 29 Oct 2019 04:58:23 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2458151</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457857&quot;&gt;Virgil Fredenberg&lt;/a&gt;.

I missed that you responded to me. I&#039;ll try to clarify my second point.

I am not talking about a sunk cost that teachers are loath to give up on. Instead, I am positing that many teachers would be very willing to give up the TI calculators if they thought it was in the best interest of their students but, in my experience, teachers are almost always realists by requirement of the job.

Teachers are not convinced that moving away from TI&#039;s is in the best interest of their students because of things like the SAT. They know that students who are skilled with the calculator will have an advantage on the SAT. But they also know that using the TI efficiently requires a substantial investment of time and can only really be achieved with fairly regular use. So teachers ask students to use the calculator. Test-mode (which is AWESOME by the way) and making continued inroads with test makers will answer the empirical question. If I was in the classroom, I&#039;d be very tempted to completely dump graphing calculators and to switch to Desmos with test-mode.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457857">Virgil Fredenberg</a>.</p>
<p>I missed that you responded to me. I&#8217;ll try to clarify my second point.</p>
<p>I am not talking about a sunk cost that teachers are loath to give up on. Instead, I am positing that many teachers would be very willing to give up the TI calculators if they thought it was in the best interest of their students but, in my experience, teachers are almost always realists by requirement of the job.</p>
<p>Teachers are not convinced that moving away from TI&#8217;s is in the best interest of their students because of things like the SAT. They know that students who are skilled with the calculator will have an advantage on the SAT. But they also know that using the TI efficiently requires a substantial investment of time and can only really be achieved with fairly regular use. So teachers ask students to use the calculator. Test-mode (which is AWESOME by the way) and making continued inroads with test makers will answer the empirical question. If I was in the classroom, I&#8217;d be very tempted to completely dump graphing calculators and to switch to Desmos with test-mode.</p>
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		<title>
		By: Michael Eiseman		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2458149</link>

		<dc:creator><![CDATA[Michael Eiseman]]></dc:creator>
		<pubDate>Tue, 29 Oct 2019 03:30:52 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2458149</guid>

					<description><![CDATA[I&#039;ve LIVED your point, Dan! For over 20 years, I developed inks for ink jet printers (another high-margin business) as a chemical engineer for Dupont.  People felt secure in their job.  They said that the paperless office would probably come sometime after the paperless bathroom! And then smartphones arrived, people started to realize that there was no longer the need to print as much as they used to, and our sales flattened so much that our group of scientists was literally decimated (yes 1/10). I was not unhappy when they finally let me go! I think the progression of technology and science is the BEST reason to acquire or loose your job.  No one should want to work in a job making buggy whips. If you fight the winds of change, your hat  will eventually blow off, and you just might loose your shirt too.

And the happy ending to the story is that, like you, I have now joined the edTech field and have created a new tool that allows blind students to perform arbitrarily complex algebraic manipulations - a much higher calling than selling buggy whips.

BTW, I see that Desmos now offers UEB and Nemeth Braille output for its calculator - very cool!  Also love the slide-whistle feature.

&quot;You can get me to do algebra.  You can even get me to do calculus.  But graphing is where I draw the line!&quot; - Wish I knew who said this!]]></description>
			<content:encoded><![CDATA[<p>I&#8217;ve LIVED your point, Dan! For over 20 years, I developed inks for ink jet printers (another high-margin business) as a chemical engineer for Dupont.  People felt secure in their job.  They said that the paperless office would probably come sometime after the paperless bathroom! And then smartphones arrived, people started to realize that there was no longer the need to print as much as they used to, and our sales flattened so much that our group of scientists was literally decimated (yes 1/10). I was not unhappy when they finally let me go! I think the progression of technology and science is the BEST reason to acquire or loose your job.  No one should want to work in a job making buggy whips. If you fight the winds of change, your hat  will eventually blow off, and you just might loose your shirt too.</p>
<p>And the happy ending to the story is that, like you, I have now joined the edTech field and have created a new tool that allows blind students to perform arbitrarily complex algebraic manipulations &#8211; a much higher calling than selling buggy whips.</p>
<p>BTW, I see that Desmos now offers UEB and Nemeth Braille output for its calculator &#8211; very cool!  Also love the slide-whistle feature.</p>
<p>&#8220;You can get me to do algebra.  You can even get me to do calculus.  But graphing is where I draw the line!&#8221; &#8211; Wish I knew who said this!</p>
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		<title>
		By: Garth		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2458019</link>

		<dc:creator><![CDATA[Garth]]></dc:creator>
		<pubDate>Tue, 22 Oct 2019 14:37:51 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2458019</guid>

					<description><![CDATA[I used a slide rule in high school.  At that time the argument was that Pickett was cornering the school market.  They made the best cheap slide rules.  In 1974 or so TI came out with an affordable scientific calculator.  The slide rule and Pickett died almost over night.  I have not seen the same thing happen with the graphing calculator.  Laptops and software have not killed the TI because it seems to be the best tool for the job.  Cheaper than a laptop, smaller than a laptop, and tailored for the task even if some of the key pressing is a pain.  The limitations the TI has (no internet for instance) fit the classroom perfectly.  Can you imagine the issues if there was a phone app that purported to replace the TI?   The concept of &quot;on task&quot; would be a joke.  The fact that TI has a virtual monopoly on the market is bad.  The fact that math teachers only have to deal with one platform is great.  In my senior stats class I allow TIs or Excel or Google Sheets or whatever they want to use.  It has greatly increased my workload and the amount of time I have to do a show-and-tell of how to use tech in the class.  When I was TI only life was easy.  But I did not require kids to buy them.  I had loaners bought by the school.

My objection to the TI is the simple fact that outside the school environment they are non-existent.  Nobody that I know of that uses mathematics on the job (other than teachers) has a TI on their desk.  (I know an engineer that has a slide rule on his desk but he is older than dirt.  I think he has it just to freak out his younger colleagues.)  It kids use nothing but the TI then they are being shorted.]]></description>
			<content:encoded><![CDATA[<p>I used a slide rule in high school.  At that time the argument was that Pickett was cornering the school market.  They made the best cheap slide rules.  In 1974 or so TI came out with an affordable scientific calculator.  The slide rule and Pickett died almost over night.  I have not seen the same thing happen with the graphing calculator.  Laptops and software have not killed the TI because it seems to be the best tool for the job.  Cheaper than a laptop, smaller than a laptop, and tailored for the task even if some of the key pressing is a pain.  The limitations the TI has (no internet for instance) fit the classroom perfectly.  Can you imagine the issues if there was a phone app that purported to replace the TI?   The concept of &#8220;on task&#8221; would be a joke.  The fact that TI has a virtual monopoly on the market is bad.  The fact that math teachers only have to deal with one platform is great.  In my senior stats class I allow TIs or Excel or Google Sheets or whatever they want to use.  It has greatly increased my workload and the amount of time I have to do a show-and-tell of how to use tech in the class.  When I was TI only life was easy.  But I did not require kids to buy them.  I had loaners bought by the school.</p>
<p>My objection to the TI is the simple fact that outside the school environment they are non-existent.  Nobody that I know of that uses mathematics on the job (other than teachers) has a TI on their desk.  (I know an engineer that has a slide rule on his desk but he is older than dirt.  I think he has it just to freak out his younger colleagues.)  It kids use nothing but the TI then they are being shorted.</p>
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		<title>
		By: Sharing Diigo Links and Resources (weekly) &#124; Another EducatorAl Blog		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457988</link>

		<dc:creator><![CDATA[Sharing Diigo Links and Resources (weekly) &#124; Another EducatorAl Blog]]></dc:creator>
		<pubDate>Sun, 20 Oct 2019 23:01:34 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2457988</guid>

					<description><![CDATA[[&#8230;] “If something cannot go on forever, it will stop.” — dy/dan [&#8230;]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] “If something cannot go on forever, it will stop.” — dy/dan [&#8230;]</p>
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		<title>
		By: Steve Geisthardt		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457912</link>

		<dc:creator><![CDATA[Steve Geisthardt]]></dc:creator>
		<pubDate>Wed, 16 Oct 2019 22:58:01 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2457912</guid>

					<description><![CDATA[I&#039;m surprised no one has mentioned Casios yet.  They&#039;re half (or less) the cost of a TI, and I haven&#039;t encountered a thing one can do that the other cannot (and many things the Casio seems to do with fewer keystrokes).  I teach both AP Stats and AP Calc, so it&#039;s not like there are huge portions of the US HS math curriculum I&#039;m skipping.  I&#039;m sure there are some examples out there, but nothing that I do in class needs one or the other.  The only thing I can think of is that your teacher prefers the TI, as they know how to use it, and the handouts are written with instructions for the TI.  I suppose this may be an actual issue in a large department, but I teach most of my students for their last 2-3 years in HS math, so I&#039;ve started recommending a Casio over a TI.  I still don&#039;t have all that many using one, most students get one from an older sibling, or had one passed down from whatever (so that&#039;s the advantage they have over much of today&#039;s technology, they will still be working in 20 years), so I have to implement &quot;seating chart by calculator type&quot; a little bit, but it works fine for me.

As for the larger picture, yeah, it&#039;s obviously standardized tests.  Not so much the ACT/SAT, as a graphing calculator really doesn&#039;t help that much over a scientific (I looked at the practice questions on the ACT website, and only saw one question where a graphing calculator was the easiest way to solve.  Sure, there were another three or so where it was a possible way to solve, but if you knew enough to solve those with a graphing calculator, you probably knew enough to solve them without one as well.), but the AP tests, which absolutely require one.  It killed me last year to enforce a graphing calculator instead of Desmos on my AP Calc class, as they were struggling with both calculus and the use of a graphing calculator at the same time.  But if the goal is to get them ready to take the AP test, then they need to learn to use a graphing calculator to be ready for that test, which is not a thing that can be taught in a week (Dan, I think that was Eric&#039;s second point, if you want them to learn to use a graphing calculator well enough for it to be useful on a test, that level of fluency with the calculator cannot be taught in a week, you need to be using it all year long).]]></description>
			<content:encoded><![CDATA[<p>I&#8217;m surprised no one has mentioned Casios yet.  They&#8217;re half (or less) the cost of a TI, and I haven&#8217;t encountered a thing one can do that the other cannot (and many things the Casio seems to do with fewer keystrokes).  I teach both AP Stats and AP Calc, so it&#8217;s not like there are huge portions of the US HS math curriculum I&#8217;m skipping.  I&#8217;m sure there are some examples out there, but nothing that I do in class needs one or the other.  The only thing I can think of is that your teacher prefers the TI, as they know how to use it, and the handouts are written with instructions for the TI.  I suppose this may be an actual issue in a large department, but I teach most of my students for their last 2-3 years in HS math, so I&#8217;ve started recommending a Casio over a TI.  I still don&#8217;t have all that many using one, most students get one from an older sibling, or had one passed down from whatever (so that&#8217;s the advantage they have over much of today&#8217;s technology, they will still be working in 20 years), so I have to implement &#8220;seating chart by calculator type&#8221; a little bit, but it works fine for me.</p>
<p>As for the larger picture, yeah, it&#8217;s obviously standardized tests.  Not so much the ACT/SAT, as a graphing calculator really doesn&#8217;t help that much over a scientific (I looked at the practice questions on the ACT website, and only saw one question where a graphing calculator was the easiest way to solve.  Sure, there were another three or so where it was a possible way to solve, but if you knew enough to solve those with a graphing calculator, you probably knew enough to solve them without one as well.), but the AP tests, which absolutely require one.  It killed me last year to enforce a graphing calculator instead of Desmos on my AP Calc class, as they were struggling with both calculus and the use of a graphing calculator at the same time.  But if the goal is to get them ready to take the AP test, then they need to learn to use a graphing calculator to be ready for that test, which is not a thing that can be taught in a week (Dan, I think that was Eric&#8217;s second point, if you want them to learn to use a graphing calculator well enough for it to be useful on a test, that level of fluency with the calculator cannot be taught in a week, you need to be using it all year long).</p>
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		<title>
		By: Gayoung Kim		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457905</link>

		<dc:creator><![CDATA[Gayoung Kim]]></dc:creator>
		<pubDate>Wed, 16 Oct 2019 12:22:12 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2457905</guid>

					<description><![CDATA[I agree with others that requiring expensive calculators could be a burden to some families. Just like what Eric mentioned, just practicing how to use calculator functions before test will not benefit the students. Schools could provide graphing calculators for testings, but without the repeated practice of using graphing calculators for them use without thinking which button is for which during tests, students won&#039;t find it beneficial to use. I know one alternative way to implement graphing calculators in class is using Desmos, but not all students will have access to Desmos because they need a computer/phone/laptop/iPad or other electronic devices in addition to internet service. Also, students won&#039;t even be allowed to use these devices when taking high stake tests. Access to technology is a big deal for some families. Teachers, districts, states and federal need to consider ways to help all students be equable.]]></description>
			<content:encoded><![CDATA[<p>I agree with others that requiring expensive calculators could be a burden to some families. Just like what Eric mentioned, just practicing how to use calculator functions before test will not benefit the students. Schools could provide graphing calculators for testings, but without the repeated practice of using graphing calculators for them use without thinking which button is for which during tests, students won&#8217;t find it beneficial to use. I know one alternative way to implement graphing calculators in class is using Desmos, but not all students will have access to Desmos because they need a computer/phone/laptop/iPad or other electronic devices in addition to internet service. Also, students won&#8217;t even be allowed to use these devices when taking high stake tests. Access to technology is a big deal for some families. Teachers, districts, states and federal need to consider ways to help all students be equable.</p>
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		<title>
		By: William Carey		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457902</link>

		<dc:creator><![CDATA[William Carey]]></dc:creator>
		<pubDate>Wed, 16 Oct 2019 10:23:22 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2457902</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457876&quot;&gt;William Carey&lt;/a&gt;.

Our school is philosophically opposed to screens in front of students (especially screens connected to the internet), so we only have one small set of Raspberry Pis that I use to teach computer science. I originally tried to introduce kids via Python on their laptops, but it&#039;s much harder to do in a classroom setting without ironclad configuration control over the machines and environments. Fun times when half the kids have Python 3, half 2.7, half Windows, half OS X, and some have a borked install of Python 2.7 *and* 3 that sometimes works and sometimes doesn&#039;t. You ask kids to install a nice editor and find out that half of them don&#039;t have admin privs on their machines. Every minute I&#039;m fighting that I&#039;m not teaching.

I do break our class set of Pis out in upper level math classes to do things like Gauss Jordan elimination in Python. I think that people who are used to programming have a hard time perceiving how intimidating and difficult programming is to total novices.

The barriers to access even of a Python scripting environment as compared to TI-BASIC are huge.

The python documentation is written for experienced programmers, so the commands in Python aren&#039;t as discoverable as the TI-BASIC commands, which are all happily listed in menus on the device itself.

Even the TI REPL loop is tighter than Pythons. Forget a colon at the end of a conditional, and the error you get is confusing. Whatever bad thing you do in a TI program, it just takes you to the line that is bad.

Beyond that, the syntax of BASIC is so compact and Python&#039;s handling of math is so counter-intuitive. You don&#039;t run into the same sort of actual computer science problems in Basic that you do with Python. Explaining to a classroom of children that 3/4 == 0, but that 3/4. == 0.75 because type systems is not a good use of (math) class time.

This is one I&#039;ve ground my teeth on for the past five years, and nothing is better than TI-BASIC yet. I wish something were so we could ditch these expensive monstrosities. If there were and exact emulator (including a push-button editor) of TI-BASIC in the Desmos website, we&#039;d be one step closer to ditching the calculators.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457876">William Carey</a>.</p>
<p>Our school is philosophically opposed to screens in front of students (especially screens connected to the internet), so we only have one small set of Raspberry Pis that I use to teach computer science. I originally tried to introduce kids via Python on their laptops, but it&#8217;s much harder to do in a classroom setting without ironclad configuration control over the machines and environments. Fun times when half the kids have Python 3, half 2.7, half Windows, half OS X, and some have a borked install of Python 2.7 *and* 3 that sometimes works and sometimes doesn&#8217;t. You ask kids to install a nice editor and find out that half of them don&#8217;t have admin privs on their machines. Every minute I&#8217;m fighting that I&#8217;m not teaching.</p>
<p>I do break our class set of Pis out in upper level math classes to do things like Gauss Jordan elimination in Python. I think that people who are used to programming have a hard time perceiving how intimidating and difficult programming is to total novices.</p>
<p>The barriers to access even of a Python scripting environment as compared to TI-BASIC are huge.</p>
<p>The python documentation is written for experienced programmers, so the commands in Python aren&#8217;t as discoverable as the TI-BASIC commands, which are all happily listed in menus on the device itself.</p>
<p>Even the TI REPL loop is tighter than Pythons. Forget a colon at the end of a conditional, and the error you get is confusing. Whatever bad thing you do in a TI program, it just takes you to the line that is bad.</p>
<p>Beyond that, the syntax of BASIC is so compact and Python&#8217;s handling of math is so counter-intuitive. You don&#8217;t run into the same sort of actual computer science problems in Basic that you do with Python. Explaining to a classroom of children that 3/4 == 0, but that 3/4. == 0.75 because type systems is not a good use of (math) class time.</p>
<p>This is one I&#8217;ve ground my teeth on for the past five years, and nothing is better than TI-BASIC yet. I wish something were so we could ditch these expensive monstrosities. If there were and exact emulator (including a push-button editor) of TI-BASIC in the Desmos website, we&#8217;d be one step closer to ditching the calculators.</p>
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		<title>
		By: Dan Meyer		</title>
		<link>/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457891</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Wed, 16 Oct 2019 04:15:31 +0000</pubDate>
		<guid isPermaLink="false">/?p=30784#comment-2457891</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457884&quot;&gt;hmm&lt;/a&gt;.

Yeah, fair point. I&#039;m definitely not going to fight you too hard on my conflict of interest here. (Which I disclosed in the post!)

I only want to point out that dismantling TI&#039;s monopoly doesn&#039;t mean Desmos inherits it.

We have warmed states and other groups up to the idea of a web-based calculator embedded on their state exams, which only makes it easier for other web-based calculators to compete in the same space.

And I think your analysis of the economics here is largely right. Desmos doesn&#039;t charge students or families but it &lt;em&gt;does&lt;/em&gt; charge people who charge students and families, even if indirectly through school taxes.

But I&#039;ve gotta point out quickly that we aren&#039;t inheriting TI&#039;s monopoly and we aren&#039;t inheriting TI&#039;s per-student prices. A TI-84 costs &gt; $100 per student. Without undermining our business development team too much, I&#039;ll say that &lt;em&gt;our&lt;/em&gt; per-student costs are just a sliver of TI&#039;s.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="/2019/if-something-cannot-go-on-forever-it-will-stop/#comment-2457884">hmm</a>.</p>
<p>Yeah, fair point. I&#8217;m definitely not going to fight you too hard on my conflict of interest here. (Which I disclosed in the post!)</p>
<p>I only want to point out that dismantling TI&#8217;s monopoly doesn&#8217;t mean Desmos inherits it.</p>
<p>We have warmed states and other groups up to the idea of a web-based calculator embedded on their state exams, which only makes it easier for other web-based calculators to compete in the same space.</p>
<p>And I think your analysis of the economics here is largely right. Desmos doesn&#8217;t charge students or families but it <em>does</em> charge people who charge students and families, even if indirectly through school taxes.</p>
<p>But I&#8217;ve gotta point out quickly that we aren&#8217;t inheriting TI&#8217;s monopoly and we aren&#8217;t inheriting TI&#8217;s per-student prices. A TI-84 costs > $100 per student. Without undermining our business development team too much, I&#8217;ll say that <em>our</em> per-student costs are just a sliver of TI&#8217;s.</p>
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