{"id":6450,"date":"2024-09-22T10:47:11","date_gmt":"2024-09-22T16:47:11","guid":{"rendered":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/?p=6450"},"modified":"2024-09-22T10:47:11","modified_gmt":"2024-09-22T16:47:11","slug":"negative-numbers","status":"publish","type":"post","link":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/2024\/09\/22\/negative-numbers\/","title":{"rendered":"Negative Numbers"},"content":{"rendered":"<h3>1. A High School Math Teacher&rsquo;s Lament<\/h3>\n<p>Something&#8217;s not happening in middle school math.<\/p>\n<p>For six+ years, students have been showing up in my Algebra 2 classes with little ability to think about (much less calculate with) fractions or negative numbers. You&#8217;ll hear this from any high school math teacher you talk to. And it seems to be true of kids in both advanced and regular classes.<\/p>\n<p>Let&rsquo;s talk about negatives&#8230;<\/p>\n<p>My guess (based on no data) is that much like <em><strong>cursive<\/strong><\/em> or <em><strong>long division<\/strong><\/em> or <em><strong>how to hold a pencil<\/strong><\/em> or even <em><strong>keyboarding<\/strong><\/em>, teaching <em><strong>fractions<\/strong><\/em> and <em><strong>negative numbers<\/strong><\/em> has been abandoned in middle school. With so much to curriculum to cover, with so many standardized tests to administer, and with calculators so ubiquitously present, I&rsquo;m tempted to think that the negative numbers have been dropped by the wayside.<\/p>\n<p>I know. I know. I&rsquo;m whining. <em>Thing&rsquo;s just aren&rsquo;t like they were in the good old days. They don&rsquo;t have to do what we had to do.<\/em> I&rsquo;m fully aware of how this sounds. And full disclosure, the comment on an old report card of mine, <em>David isn&rsquo;t learning his math facts<\/em>, might be important to add into this mix (although truth be told that was elementary school).<\/p>\n<p>Yet it&rsquo;s getting in the way of teaching Algebra 2.<\/p>\n<h3>2. A YouTube Video<\/h3>\n<p>This morning I watched a video on YouTube. The teacher was at a whiteboard teaching how to <em><strong>solve linear systems of equations by elimination<\/strong><\/em>. The core skill has little to do per se with the arithmetic of negative numbers. Yet if you don&rsquo;t understand the arithmetic, you&rsquo;re doomed.&nbsp;<\/p>\n<p>I watch the video in disbelief as the teacher introduces elimination and the kids enthusiastically shout out the answers to the underlying arithmetic. They don&rsquo;t hesitate. Their responses are instant &mdash; and correct. When asked to add -5 and 7, they shout &ldquo;two!&rdquo;, not &ldquo;twelve&rdquo;. (I have kids who will look at me as if I am from Mars when I say -5 + 7 = 2.)<\/p>\n<p>Ok, who are these kids? Where is this school? That is obviously relevant. But then I look down and see that the video was filmed eleven years ago.<\/p>\n<p>Is that really it? In the last decade, have middle schools simply abandoned teaching negative numbers? From my vantage point, it sure seems so. And as a result, if I am to teach the core skills, I am left with no alternative but to tell them &ldquo;Go get a calculator.&rdquo;&nbsp;<\/p>\n<p><em>And thereby I become part of the problem.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. A High School Math Teacher&rsquo;s Lament Something&#8217;s not happening in middle school math. For six+ years, students have been showing up in my Algebra 2 classes with little ability to think about (much less calculate with) fractions or negative numbers. You&#8217;ll hear this from any high school math teacher you talk to. And it [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/6450"}],"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=6450"}],"version-history":[{"count":1,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/6450\/revisions"}],"predecessor-version":[{"id":6451,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/6450\/revisions\/6451"}],"wp:attachment":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/media?parent=6450"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/categories?post=6450"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/tags?post=6450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}