{"id":39,"date":"2006-06-22T18:21:57","date_gmt":"2006-06-22T18:21:57","guid":{"rendered":"http:\/\/scientopia.org\/blogs\/goodmath\/2006\/06\/22\/ask-an-sber-what-makes-a-good-science-teacher\/"},"modified":"2006-06-22T18:21:57","modified_gmt":"2006-06-22T18:21:57","slug":"ask-an-sber-what-makes-a-good-science-teacher","status":"publish","type":"post","link":"http:\/\/www.goodmath.org\/blog\/2006\/06\/22\/ask-an-sber-what-makes-a-good-science-teacher\/","title":{"rendered":"Ask an SBer: What makes a good science teacher?"},"content":{"rendered":"<p>It&#8217;s that time of the week again, and a new &#8220;Ask an SBer&#8221; question is out. The question is: &#8220;What makes a good science teacher?&#8221;<br \/>\nAs usual, since I&#8217;m the only math blogger around here,  I&#8217;m going to shift the subject of the question a bit, to &#8220;What makes a good math teacher?&#8221;.  The answer is similar, but not quite the same.<br \/>\nIn my experience, what makes for a good math teacher is a few things:<\/p>\n<ol>\n<li> <b>The ability to teach. <\/b>This should go without saying, but alas, it doesn&#8217;t. There are an appalling number of folks out there who are brilliant mathematicians and genuinely nice people who have all of the other skills I&#8217;m going to mention, but have absolutely no concept of just how to get in front of a group of people and teach in a reasonable coherent way.\n<li> <b>Enthusiasm.<\/b> Most people have an unfortunate sense that math is miserable drudgery. Teaching something mathematical, one of the most important things you can do is to just be genuinely enthusiastic &#8211; to make it clear that you love what you&#8217;re talking about, and that it&#8217;s something fun and exciting.\n<li> <b>Balance<\/b>. The power of math comes from the way that it breaks things that you&#8217;re studying into simpler abstractions. Abstraction is the key to the value of mathematics. But it&#8217;s very easy to get caught up in the abstraction, and forget <em>why<\/em> you&#8217;re doing it. Good math teaching is a subtle act of balance: you&#8217;re studying abstractions, but you need to keep the applications of those abstractions in sight in a way that lets your students understand <em>why<\/em> they should care.\n<\/ul>\n<p>There are two teachers that come to mind when I&#8217;m talking about this, both in mathematical specialties of computer science.<br \/>\nOne is Eric Allender, a professor at Rutgers University, who taught my first course on the theory of computation. ToC is a field that can get incredibly difficult, and can often push abstractions so far away from reality that it&#8217;s hard to see what the point of it is. Eric had everything that I said above nailed down perfectly: he had the ability to stand in front of a classroom full of people and explain difficult concepts in a way that made them comprehensible; and he caught us up in his enthusiasm for the subject, so that we caught on to why these difficult abstract things were interesting; and he always kept things grounded in a way where it was clear to us <em>why<\/em> we should care about it.<br \/>\nThe other is Errol Lloyd, a professor at the University of Delaware, why I did my PhD, and a member of my dissertation committee.  Errol is a professor who studies algorithms &#8211; not quite as abstractly mathematical as ToC, but a subject that many computer science students dread. I certainly wasn&#8217;t looking forward to it coming into the class: my undergrad experience in the topic was awful. (The main thing I remember about it was the professor who seemed to only own one shirt, which  he never washed. It was a running joke among the students, because every time we saw him, the shirt was dirtier. Same stupid blue turtleneck, which was almost more grey than blue by the end of the semester.) In contrast to the dreadful undergrad experience, Errol&#8217;s class was one of my favorite classes ever. Errol has the most astonishing teaching method I&#8217;ve ever seen. He doesn&#8217;t directly tell you anything: he gets up in front of the class, and starts asking questions. But the questions guide you through the process of <em>discovering<\/em> the subject that he&#8217;s teaching. And as he does it, he&#8217;s excited and happy and very, very kinetic, bouncing around the classroom, peppering different students with his questions. So as a student, you&#8217;re involved, and you&#8217;re caught up in his enthusiasm. (For those who understand what I&#8217;m saying: imagine a professor who can lead you through the process of <em>inventing<\/em> LR parsing from scratch, without ever telling you how to do it &#8211; just asking the right questions to force you to work through the problems that led to the invention of the LR parsing algorithms.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s that time of the week again, and a new &#8220;Ask an SBer&#8221; question is out. The question is: &#8220;What makes a good science teacher?&#8221; As usual, since I&#8217;m the only math blogger around here, I&#8217;m going to shift the subject of the question a bit, to &#8220;What makes a good math teacher?&#8221;. The answer [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[12],"tags":[],"class_list":["post-39","post","type-post","status-publish","format-standard","hentry","category-chatter"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4lzZS-D","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/39","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/comments?post=39"}],"version-history":[{"count":0,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/39\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/media?parent=39"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/categories?post=39"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/tags?post=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}