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	<title>Comments on: Math choices for seniors</title>
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	<description>Thinking and Linking by Joanne Jacobs</description>
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		<title>By: Chynell S.</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41355</link>
		<dc:creator>Chynell S.</dc:creator>
		<pubDate>Tue, 25 Nov 2008 03:08:15 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41355</guid>
		<description>From my experience, my school required 3 years of math and an optional 4th year for seniors. I wanted to stay on track so I took a general math course. It covered fractions, interest rates, percentages, and other useful math topics for real life issues. My freshman year in college I took a math placement test and I was placed in fundamental math courses before I could take the standard Algebra for Calculus. I excelled in Alegbra I, Geometry, and Algebra II throughout high school. The fundamental math courses were not challenging at all for me. I have talked to several other students who were in the fundamental (basically remedial) math courses who were decent students that went all the way up to Pre-Calculus in high school. This confuses me because I do not know if it is the way we are being taught in high school or if there is a flaw with our university. This goes along with greifer’s hypothesis: “they never learned it in their math classes, despite passing grades?” I think it is a mixture between not having enough practice and how well they learned it in the first place, not one or the other. I had an excellent Algebra I teacher and although I haven’t done Algebra I math problems I still can recall how I would do them and that was 7 years ago.

I also agree with Tracy W. More high school and college students need to value math education because it provides a window of opportunities throughout one’s life that you can never anticipate. An art major may think they will never have to use math, but even basic principles like loan interest rates, etc. can help you save money and not be conned into investing in something that is truly a rip off. Also, career and major changes are so common these days that a math education will make you a well-rounded person. I think it should be required all 4 years. If they are not taking math their senior year then it should be other math-related courses such as economics.</description>
		<content:encoded><![CDATA[<p>From my experience, my school required 3 years of math and an optional 4th year for seniors. I wanted to stay on track so I took a general math course. It covered fractions, interest rates, percentages, and other useful math topics for real life issues. My freshman year in college I took a math placement test and I was placed in fundamental math courses before I could take the standard Algebra for Calculus. I excelled in Alegbra I, Geometry, and Algebra II throughout high school. The fundamental math courses were not challenging at all for me. I have talked to several other students who were in the fundamental (basically remedial) math courses who were decent students that went all the way up to Pre-Calculus in high school. This confuses me because I do not know if it is the way we are being taught in high school or if there is a flaw with our university. This goes along with greifer’s hypothesis: “they never learned it in their math classes, despite passing grades?” I think it is a mixture between not having enough practice and how well they learned it in the first place, not one or the other. I had an excellent Algebra I teacher and although I haven’t done Algebra I math problems I still can recall how I would do them and that was 7 years ago.</p>
<p>I also agree with Tracy W. More high school and college students need to value math education because it provides a window of opportunities throughout one’s life that you can never anticipate. An art major may think they will never have to use math, but even basic principles like loan interest rates, etc. can help you save money and not be conned into investing in something that is truly a rip off. Also, career and major changes are so common these days that a math education will make you a well-rounded person. I think it should be required all 4 years. If they are not taking math their senior year then it should be other math-related courses such as economics.</p>
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		<title>By: gbl3rd</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41354</link>
		<dc:creator>gbl3rd</dc:creator>
		<pubDate>Sat, 22 Nov 2008 21:55:45 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41354</guid>
		<description>Brian Rude,

I never really thought about it before but there is a lot to be said for studying processes.  Management theorists, Frederick W. Taylor and W Edwards Deming, both heavily emphasize studying processes and measurement.  I do not think educators think the work of these men add anything of value to evaluating instruction.

One of Deming&#039;s Management Obligations is Drive Out Fear. Other wise the researcher/manager would never learn what is really going on.  I think that is a big obstacle in our schools.</description>
		<content:encoded><![CDATA[<p>Brian Rude,</p>
<p>I never really thought about it before but there is a lot to be said for studying processes.  Management theorists, Frederick W. Taylor and W Edwards Deming, both heavily emphasize studying processes and measurement.  I do not think educators think the work of these men add anything of value to evaluating instruction.</p>
<p>One of Deming&#8217;s Management Obligations is Drive Out Fear. Other wise the researcher/manager would never learn what is really going on.  I think that is a big obstacle in our schools.</p>
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		<title>By: Vandal Savage</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41353</link>
		<dc:creator>Vandal Savage</dc:creator>
		<pubDate>Sat, 22 Nov 2008 01:06:00 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41353</guid>
		<description>Well, the unethical lawyers would, I&#039;d think. Like if they were trying to help a guilty party get away with something (whether that be a guy trying to get away with murder, a corporation trying to get away with poisioning its customers, etc.) wouldn&#039;t they want a jury they could easily fool with conflicting evidence? You don&#039;t think a basic knowledge of Science or Math wouldn&#039;t help in those cases?

Also consider that, if the jury doesn&#039;t know any better, an &#039;expert&#039; could stretch the truth beyond belief, and be believed by default because he/she is an expert.

I would also think cases where money was misappropriated would be best served with juries with basic Math skills.</description>
		<content:encoded><![CDATA[<p>Well, the unethical lawyers would, I&#8217;d think. Like if they were trying to help a guilty party get away with something (whether that be a guy trying to get away with murder, a corporation trying to get away with poisioning its customers, etc.) wouldn&#8217;t they want a jury they could easily fool with conflicting evidence? You don&#8217;t think a basic knowledge of Science or Math wouldn&#8217;t help in those cases?</p>
<p>Also consider that, if the jury doesn&#8217;t know any better, an &#8216;expert&#8217; could stretch the truth beyond belief, and be believed by default because he/she is an expert.</p>
<p>I would also think cases where money was misappropriated would be best served with juries with basic Math skills.</p>
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		<title>By: Brian Rude</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41352</link>
		<dc:creator>Brian Rude</dc:creator>
		<pubDate>Fri, 21 Nov 2008 21:44:57 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41352</guid>
		<description>In his first comment greifer brings up the idea of poor math instruction versus the amount of math instruction. I tend to go with the poor instruction hypothesis.   From what I see teaching math to college freshmen I feel there is a lot of evidence that elementary math, particularly fractions, is not being taught well in recent years.  This seriously compromises students’ ability to learn algebra.  However the problem seems to be well hidden.  In the past year I have become more and more aware that apparently students manage to pass math courses, with a C at least, in spite of serious deficits in the basics.  This past year I started giving a fractions quiz on the first day of class in my lower level algebra course, and the results are indeed impressive, and that is not good news.  I have described my observations and conclusions in some detail at &lt;a href=&quot;http://www.brianrude.com/fractionsquiz2/htm&quot; rel=&quot;nofollow&quot;&gt; http://www.brianrude.com/fractionsquiz2/htm &lt;/a&gt;

    In a comment gbl3rd says, &quot;No one agrees on what good math instruction is because it can only be judged by results. Usually instruction is judged by some philosophical or psychological concept.&quot;  I certainly agree with the second sentence in this quote, but I&#039;m not so sure about the first sentence, or what we might infer from that first sentence.    Results may be what ultimately counts, but I think there is a lot to be gained by looking very carefully at the process. I further think that the field of education has done a very poor job at looking carefully at the process.   Indeed I wonder if our goal of being &quot;data driven&quot; has actually worked against our ability to look closely at what actually happens in the classroom.   I have more thoughts on this at &lt;a href=&quot;http://www.brianrude.com/lackdes.htm&quot; rel=&quot;nofollow&quot;&gt; http://www.brianrude.com/lackdes.htm &lt;/a&gt;</description>
		<content:encoded><![CDATA[<p>In his first comment greifer brings up the idea of poor math instruction versus the amount of math instruction. I tend to go with the poor instruction hypothesis.   From what I see teaching math to college freshmen I feel there is a lot of evidence that elementary math, particularly fractions, is not being taught well in recent years.  This seriously compromises students’ ability to learn algebra.  However the problem seems to be well hidden.  In the past year I have become more and more aware that apparently students manage to pass math courses, with a C at least, in spite of serious deficits in the basics.  This past year I started giving a fractions quiz on the first day of class in my lower level algebra course, and the results are indeed impressive, and that is not good news.  I have described my observations and conclusions in some detail at <a href="http://www.brianrude.com/fractionsquiz2/htm" rel="nofollow"> </a><a href="http://www.brianrude.com/fractionsquiz2/htm" rel="nofollow">http://www.brianrude.com/fractionsquiz2/htm</a> </p>
<p>    In a comment gbl3rd says, &#8220;No one agrees on what good math instruction is because it can only be judged by results. Usually instruction is judged by some philosophical or psychological concept.&#8221;  I certainly agree with the second sentence in this quote, but I&#8217;m not so sure about the first sentence, or what we might infer from that first sentence.    Results may be what ultimately counts, but I think there is a lot to be gained by looking very carefully at the process. I further think that the field of education has done a very poor job at looking carefully at the process.   Indeed I wonder if our goal of being &#8220;data driven&#8221; has actually worked against our ability to look closely at what actually happens in the classroom.   I have more thoughts on this at <a href="http://www.brianrude.com/lackdes.htm" rel="nofollow"> </a><a href="http://www.brianrude.com/lackdes.htm" rel="nofollow">http://www.brianrude.com/lackdes.htm</a> </p>
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		<title>By: Rex</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41351</link>
		<dc:creator>Rex</dc:creator>
		<pubDate>Fri, 21 Nov 2008 19:39:23 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41351</guid>
		<description>I only did litigation for two years, but never in that time (or since) did I ever observe or hear that lawyers love juries who don&#039;t know any math or science.  If a case depends on math or science, that&#039;s when the lawyers bring in expert witnesses.

I also disagree that graduating from high school with a strong academic curriculum makes you any better a citizen, let alone making you able to understand the world we live in.  Maybe I am prejudiced by knowing some very &quot;smart&quot; people who teach at Cornell who don&#039;t have the slightest clue about how the world works.

Basic psychology, basic economics, and basic statistics would be much more useful tools.

Reading and becoming self-informed, along with the ability and understanding to separate fact from opinion, are crucial to understanding the world we live in.  And the ability to separate fact from opinion is not taught in high school, nor did I learn it in college.  It took several years of law school to become adept at that particular skill (although the basics of it are easy, it takes constant practice to readily recognize BS when you come across it).

Look at any newspaper article and see if you can separate fact from opinion in the article.  One hint:  look at the adjectives, and if they are positive or negative, rather than neutral, you are looking at the writer&#039;s opinion and not fact.</description>
		<content:encoded><![CDATA[<p>I only did litigation for two years, but never in that time (or since) did I ever observe or hear that lawyers love juries who don&#8217;t know any math or science.  If a case depends on math or science, that&#8217;s when the lawyers bring in expert witnesses.</p>
<p>I also disagree that graduating from high school with a strong academic curriculum makes you any better a citizen, let alone making you able to understand the world we live in.  Maybe I am prejudiced by knowing some very &#8220;smart&#8221; people who teach at Cornell who don&#8217;t have the slightest clue about how the world works.</p>
<p>Basic psychology, basic economics, and basic statistics would be much more useful tools.</p>
<p>Reading and becoming self-informed, along with the ability and understanding to separate fact from opinion, are crucial to understanding the world we live in.  And the ability to separate fact from opinion is not taught in high school, nor did I learn it in college.  It took several years of law school to become adept at that particular skill (although the basics of it are easy, it takes constant practice to readily recognize BS when you come across it).</p>
<p>Look at any newspaper article and see if you can separate fact from opinion in the article.  One hint:  look at the adjectives, and if they are positive or negative, rather than neutral, you are looking at the writer&#8217;s opinion and not fact.</p>
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		<title>By: Crimson Wife</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41350</link>
		<dc:creator>Crimson Wife</dc:creator>
		<pubDate>Fri, 21 Nov 2008 19:30:35 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41350</guid>
		<description>What percentage of trials in this country would require jurors to have an understanding of Trigonometry and/or Calculus?

Basic math up through simple algebra, I definitely agree. But more advanced stuff is highly unlikely to be relevant to serving on a jury...</description>
		<content:encoded><![CDATA[<p>What percentage of trials in this country would require jurors to have an understanding of Trigonometry and/or Calculus?</p>
<p>Basic math up through simple algebra, I definitely agree. But more advanced stuff is highly unlikely to be relevant to serving on a jury&#8230;</p>
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		<title>By: Joanne Jacobs</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41349</link>
		<dc:creator>Joanne Jacobs</dc:creator>
		<pubDate>Fri, 21 Nov 2008 17:47:33 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41349</guid>
		<description>You are so right about journalists and statistics, Margo/Mom. Years ago, a numerate reporter started a circular at the Mercury News to explain things like what 100 percent means and how to describe an increase from 50 percent to 60 percent. It was very basic math. Reporters read it avidly and gratefully.</description>
		<content:encoded><![CDATA[<p>You are so right about journalists and statistics, Margo/Mom. Years ago, a numerate reporter started a circular at the Mercury News to explain things like what 100 percent means and how to describe an increase from 50 percent to 60 percent. It was very basic math. Reporters read it avidly and gratefully.</p>
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		<title>By: Sir Jecht</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41348</link>
		<dc:creator>Sir Jecht</dc:creator>
		<pubDate>Fri, 21 Nov 2008 17:33:19 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41348</guid>
		<description>I think that all U.S. high school students should have 4 years each in Math, Science, Social Studies, and English. Those four subjects are essential to undertsanding the world we live in.

Even if you don&#039;t use one of those four subjects in your college major or at your job, you need them for those times when you&#039;re serving on a jury, or voting for your Congress member and/or the President based on what legislation they drafted and/or signed or vetoed.

Lawyers love juries that don&#039;t understand Math or Science, and politicians love voters that don&#039;t understand Math or Science. Those people are so easy to fool!

I think the standard Math curriculum in the U.S. should be:
8th Grade: Algebra I
9th Grade: Geometry
10th Grade: Algebra II
11th Grade: PreCalculus (Trig, Logarithims)
12th Grade: either Calculus or Statistics</description>
		<content:encoded><![CDATA[<p>I think that all U.S. high school students should have 4 years each in Math, Science, Social Studies, and English. Those four subjects are essential to undertsanding the world we live in.</p>
<p>Even if you don&#8217;t use one of those four subjects in your college major or at your job, you need them for those times when you&#8217;re serving on a jury, or voting for your Congress member and/or the President based on what legislation they drafted and/or signed or vetoed.</p>
<p>Lawyers love juries that don&#8217;t understand Math or Science, and politicians love voters that don&#8217;t understand Math or Science. Those people are so easy to fool!</p>
<p>I think the standard Math curriculum in the U.S. should be:<br />
8th Grade: Algebra I<br />
9th Grade: Geometry<br />
10th Grade: Algebra II<br />
11th Grade: PreCalculus (Trig, Logarithims)<br />
12th Grade: either Calculus or Statistics</p>
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		<title>By: Margo/Mom</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41347</link>
		<dc:creator>Margo/Mom</dc:creator>
		<pubDate>Fri, 21 Nov 2008 16:38:41 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41347</guid>
		<description>It wouldn&#039;t be a bad idea to include a course on statistics. Journalists are particularly public in their ignorance. I am tired of reading that an increase from 50% to 60% is a 10% increase.</description>
		<content:encoded><![CDATA[<p>It wouldn&#8217;t be a bad idea to include a course on statistics. Journalists are particularly public in their ignorance. I am tired of reading that an increase from 50% to 60% is a 10% increase.</p>
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		<title>By: gbl3rd</title>
		<link>http://www.joannejacobs.com/2008/11/math-choices-for-seniors/#comment-41346</link>
		<dc:creator>gbl3rd</dc:creator>
		<pubDate>Fri, 21 Nov 2008 15:56:03 +0000</pubDate>
		<guid isPermaLink="false">http://joannejacobs.com/?p=6379#comment-41346</guid>
		<description>I recall long ago (well over a decade ago) when variable rate mortgages were first introduced there was a small ruckusl because some banks were not computing the payments accurately.  It is a good idea to know finacial math.  The back room made &quot;mistakes&quot; that benefited the bank.  Should you trust the agent who profits from overcharging you to compute your bill properly?  Money is numbers and numbers are math.

greifer,

I agree the the problem is frequently poor math instruction and not the amount of it.  No one agrees on what good math instruction is because it can only be judged by results.  Usually instruction is judged by some philosphical or psychological concept.</description>
		<content:encoded><![CDATA[<p>I recall long ago (well over a decade ago) when variable rate mortgages were first introduced there was a small ruckusl because some banks were not computing the payments accurately.  It is a good idea to know finacial math.  The back room made &#8220;mistakes&#8221; that benefited the bank.  Should you trust the agent who profits from overcharging you to compute your bill properly?  Money is numbers and numbers are math.</p>
<p>greifer,</p>
<p>I agree the the problem is frequently poor math instruction and not the amount of it.  No one agrees on what good math instruction is because it can only be judged by results.  Usually instruction is judged by some philosphical or psychological concept.</p>
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