{"id":5637,"date":"2020-03-23T12:45:46","date_gmt":"2020-03-23T18:45:46","guid":{"rendered":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/?p=5637"},"modified":"2020-03-23T13:00:37","modified_gmt":"2020-03-23T19:00:37","slug":"logarithms-and-my-old-cornet","status":"publish","type":"post","link":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/2020\/03\/23\/logarithms-and-my-old-cornet\/","title":{"rendered":"Logarithms and My Old Cornet"},"content":{"rendered":"<h3>1. Will We Ever Use This?<\/h3>\n<p>&ldquo;Mr. Hasan?&rdquo; he asked from the back of the room.&nbsp;&ldquo;Will we ever use this?&#8221;<\/p>\n<p>This is a frequent complaint in math classes. To my <em>everlasting frustration<\/em>, it&rsquo;s a common refrain. Frustrating because, do they ask this of their English teachers? Their Theatre teacher? History? Band? Economics, for heavens sake?<\/p>\n<p>Of course, that&rsquo;s not how I answered. I didn&rsquo;t say that, because in this particular case, his polite, diplomatically phrased question was a good one.&nbsp;<\/p>\n<p>I had given the pre-AP kids a really hard homework assignment (finding zeros of polynomials, including complex conjugate pairs). The four problems were long, tedious, and difficult. The algebra for one of them filled a full page. It must have seemed like busy-work.&nbsp;<\/p>\n<p>I conceded his point and explained my rationale.<\/p>\n<p>&ldquo;I know these were hard,&rdquo; I said. &ldquo;I assigned them because there are some things in life are just plain hard. Some things require paying attention to detail. Cooking. Changing a transmission. Installing a downspout without cutting into the plumbing that runs behind it.&rdquo;<\/p>\n<p>(Just kidding. I didn&rsquo;t go into my own downspout shame.)<\/p>\n<p>&ldquo;I designed these problems precisely because they are hard, because they are tedious, because you won&#8217;t get the right answer unless you are neat and careful.&#8221;<\/p>\n<p>I stopped for a second and looked at them.<\/p>\n<p>&ldquo;We talked about this at the beginning of the year. This class isn&rsquo;t just about the math. It&rsquo;s mostly about teaching you to think clearly and communicate well. And for those things, you need to sweat the details. These problems teach you that.&#8221;<\/p>\n<p>I waited a second and then looked back at the boy who had asked the question.<\/p>\n<p>&ldquo;Does that answer make you angry?&rdquo;&nbsp;<\/p>\n<p>&ldquo;Kinda,&rdquo; he said.<\/p>\n<p>&ldquo;That&rsquo;s fair,&rdquo; I said. &ldquo;But that&#8217;s the best I can do. And it&rsquo;s the truth.&#8221;<\/p>\n<h3>2. Logarithms in the Real World<\/h3>\n<p>We started with logarithms a few weeks ago.<\/p>\n<p>One of the challenges of teaching logarithms is that the notation a bit odd and logs just seem&#8230; seem so&#8230; irrelevant. Certainly none of my students has seen much less used a slide rule. With the calculators we have on our phones, logarithms seem about as useful as the trig tables in an old <a href=\"https:\/\/en.wikipedia.org\/wiki\/CRC_Handbook_of_Chemistry_and_Physics\">CRC Handbook<\/a>.<\/p>\n<p>I anticipated the &ldquo;How are we going to use this?&rdquo; question. So I put together some problems in that showed real-world examples of logarithms. The Richter Scale. Decibels. Cents&#8230;<\/p>\n<p>Wait. What? <em>Cents?<\/em> Yes, cents.&nbsp;<\/p>\n<p>Not cents as in &ldquo;dollars and cents&rdquo; but a measurement used to quantify relative pitch in music. I had stumbled across cents when I was putting the lesson together.&nbsp;<\/p>\n<p>While we were going over the problems, I stopped and looked up.<\/p>\n<p>&ldquo;I had never heard of cents. Have any of you?&#8221;<\/p>\n<p>The percussionist in the front row nodded. He said they use it when they tune.<\/p>\n<p>And there you have it. Logarithms in the real world.<\/p>\n<h3>3. My Cornet<\/h3>\n<p>&ldquo;I am so ashamed,&rdquo; I said. &ldquo;I mean, I was in band, and I&rsquo;ve never heard of cents!?&#8221;<\/p>\n<p>&ldquo;You were in band?&rdquo; one of the kids asked. One of the others told her that they all knew I had been in band.<\/p>\n<p>&ldquo;Yes,&rdquo; I said. &ldquo;My cornet is in the band hall.&#8221;<\/p>\n<p>&ldquo;Wait, what? Why is&#8230; <em>your<\/em> cornet in the band hall!?&#8221;<\/p>\n<p>I started to explain how I had given my old high school cornet to the band director.<\/p>\n<p>&ldquo;Oh yeah,&rdquo; one of the band kids said. &ldquo;Lucy was playing his cornet yesterday.&#8221;<\/p>\n<p>Lucy is in a different period later in the day. When that period rolled around, I walked up to her.<\/p>\n<p>&ldquo;Lucy, I hear you are playing my cornet.&#8221;<\/p>\n<p>She smiled and her eyes sparkled.<\/p>\n<p>&ldquo;Yeah,&rdquo; she said. &ldquo;It&rsquo;s so much easier than a trumpet.&#8221;<\/p>\n<p>So you see?&nbsp;<em>Logarithms will take you far.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Will We Ever Use This? &ldquo;Mr. Hasan?&rdquo; he asked from the back of the room.&nbsp;&ldquo;Will we ever use this?&#8221; This is a frequent complaint in math classes. To my everlasting frustration, it&rsquo;s a common refrain. Frustrating because, do they ask this of their English teachers? Their Theatre teacher? History? Band? Economics, for heavens sake? [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5637"}],"collection":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/comments?post=5637"}],"version-history":[{"count":4,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5637\/revisions"}],"predecessor-version":[{"id":5641,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5637\/revisions\/5641"}],"wp:attachment":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/media?parent=5637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/categories?post=5637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/tags?post=5637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}