tag:blogger.com,1999:blog-89793826512595985842024-02-08T04:42:20.591-08:00Mr. Bingea Teaches Math...thinking about becoming a better teacher for my students.Anonymoushttp://www.blogger.com/profile/06222143361713166257noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-8979382651259598584.post-11863004126678537672016-06-28T14:01:00.001-07:002016-06-29T05:26:35.980-07:00My thoughts on SWBCA vs. SWBAT and why curiosity is not a fluffy word<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><img alt="Screen Shot 2016-06-28 at 1.38.31 PM.png" height="203" src="https://lh3.googleusercontent.com/NSJnlNx1iox3S-ga3H3X1W3f8HqkhBmCPqiAoKlGD39uu7Op3tceCxTXFYR2Zej-Uz6x0-zO8nU3et_G2zx2o7BeJsZtoUrN6hv9db0ffMLwXQeKgELoQVhEchPrcUu_1OvYUsGp" style="border: none; font-family: Arial; font-size: 14.6667px; line-height: 1.38; margin-left: auto; margin-right: auto; transform: rotate(0rad); white-space: pre-wrap;" width="400" /></td></tr>
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<span style="font-family: "arial"; font-size: 10.6667px; font-style: italic; vertical-align: baseline; white-space: pre-wrap;">Image from Annie Fetter’s Ignite Talk</span></div>
<div style="text-align: left;">
<span style="font-family: "arial"; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;">Over the last month I have watched Annie Fetter’s Math Forum Ignite talk, </span><a href="https://www.youtube.com/watch?v=8ssjZvR__QQ&feature=youtu.be" style="line-height: 1.38;"><span style="color: #1155cc; font-family: "arial"; font-size: 14.6667px; text-decoration: underline; vertical-align: baseline; white-space: pre-wrap;">“An Alternative to SWBAT”</span></a><span style="font-family: "arial"; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;"> several times over. (Please watch, it’s only 5 min.) In this short talk, she makes an argument that when planning we should consider learning objectives statement that read “Students will be curious about…” rather than the all-too-familiar, “Students will be able to…” She states that we need students to understand that they have ideas about every problem and that “students can do an awful lot of math if they explore the questions they ask”, rather than just doing math for the sake of doing math. This idea resonates with me in a big way. </span><br />
<span style="font-family: "arial"; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;"><br /></span>
<span style="font-family: "arial"; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;">Let me start by explaining my aversion to the letters SWBAT. The sickening feeling these letters evoke is a result of countless hours of lesson planning and professional development sessions where I have been required to boil down whole units and courses into a series for insular, and lifeless objective statements which only address what my students need to do. We are urged to let these SWBAT statements drive all lesson activities and assessments. We are encouraged, in my case required, to post these learning objectives on our front boards and communicate these goals with students at the start of each lesson. This, I think leads to a problematic perception of learning. I found myself shouting at the computer, “Yes!” when Annie says, “If all we care about is that they can do...things, then they think just the doing of those things means they are succeeding.” </span></div>
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<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: center;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><img alt="Screen Shot 2016-06-28 at 12.50.41 PM.png" height="128" src="https://lh5.googleusercontent.com/4CJ9K9NJl1scO8LhbkjKvPGlXajIKiZI1u9ToOC2Nl5WIibOqRcdSirLev8CUSLXq3ZJPr6two4UwDmzBT31mLMjR-U3ZIowU6E-OvZEQxQMrZkBnioaJydh37s3wqvOs0XWgCkZ" style="border: none; transform: rotate(0rad);" width="200" /></span></div>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt; text-align: left;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"><span style="font-size: 14.6667px; line-height: 1.38;">Annie nicely illustrates the point that students can and will be able to divide fractions without knowing hardly anything about division or fractions. I could go on and on about the problems with SWBAT, but I’ll save that for another time and focus on why I think SWBCA is the bee’s knees. </span></span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">I have floated SWBCA to a couple of teachers and the response has generally been: </span><span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: italic; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">What a cute idea! Yes, curiosity is a good thing...Blah, blah, blah...You go for it Aaron. </span><span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Yes, I agree that most acronyms/initialisms used in education are usually gimicky and good in theory, but in actuality not that important. I also think that the word, curiosity, is generally something everyone can get behind as being good for kids, but in the end, to “be curious” seems fluffy, not urgent, and a luxury that we cannot afford when our students are “so far behind”. Sigh...</span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Ok, here is why this is more than a cute idea…</span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">SWBCA drives content more completely than SWBAT. </span></div>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">When planning the content of my lessons I ask myself this question: </span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<div style="text-align: center;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">How do I get my students to know/understand _________ so that they can ________? </span></div>
</div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">“Students will be able to” only addresses the second part of my question and takes the knowing and understanding for granted. Starting with a SWBCA learning goal requires teachers to first think about how they can get my students thinking and wondering about the fundamental, underlying concepts of the lesson. Essentially we are making it a goal that students CARE about the why and how something works first before they do what it is we want them to do. Curiosity, in this sense, is important and should drive the content of our lessons. </span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">SWBCA inherently addresses investment SWBAT does not. </span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">In addition to caring about content, I spend the bulk of my time planning lessons around the this other question:</span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<div style="text-align: center;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">How do I get my students to care about ___________ so that they can ___________?</span></div>
</div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">In the end if my students do not care, they will not invest the time or energy to do whatever it is I am having them do. Yes, I think some students come to my class with a disposition to care about school work more than others, but in my experience, as their teacher I have a great deal of control in this matter. The following is my attempt at a flow chart summing up what the different ways I can get students to care. </span></div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><img alt="Screen Shot 2016-06-28 at 3.01.30 PM.png" height="396" src="https://lh6.googleusercontent.com/TthK5mARxsl2hgaXujY1Ge60VmbkzQ3rJX8ggRfA-JCvNzIdihyVkuTpPma6iqEX6zw7ZaD6c4N2hXqm0JHh3XXIwuQE3gS4cs3dJrZVY5j0KoCgFO18PrP_5yGm7gx_olOV08xk" style="border: none; margin-left: auto; margin-right: auto; transform: rotate(0rad);" width="566" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><br /></td></tr>
</tbody></table>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Competition</span></div>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">In my first years of teaching, this was my go to method of getting students to care. I can get 99% of my middle schoolers to buy into an activity or exercise with competition. Even with the most mundane tasks, the only thing necessary for investment is to present the idea to students that they could be considered the “best” doer of this task and reap all of the impending glory...or a piece of candy. There are many pitfalls to competition. Perhaps the most significant problem being that it usually only motivates students to get done with things and to do so faster than anyone else. It rarely promotes sense-making, because in the end it is about winning. </span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Carrot and Stick</span></div>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">I think this is the most ingrained source for motivation with my students. Teachers are given the most tools to implement this method for getting students to care. I think for many, being a teacher boils down to being the deliverer of carrots and sticks. I am not trying to make a case for no grades or no systems of consequence. I understand that extrinsic motivation works and is what drives kids and adults alike. However, when it comes to getting students to care, carrots and sticks always come up short. For students who have grown accustomed to failing, grades are no longer a motivating factor. More importantly, most carrots and sticks are given when students either do or don’t do something. It very rarely requires knowing or understanding. </span></div>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Curiosity</span></div>
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Curiosity leads to the ideal form of caring, because they are caring about more than doing. Students are asking why and how and therefore are inclined to explore and do the work involved with sense-making. This leads to arguments, discussion, reflection, and the revision of ideas, all led by students. Curiosity, I think is the common denominator to all of my lessons that I walked away from thinking, ‘Man, I am a rock star, that was awesome!” This blissful experience in a math classroom is certainly difficult to consistently produce, but should be at the very least our initial goal when planning lessons. Addressing a SWBCA learning objective requires us to do the important work of addressing how we get our students to care in a meaningful way.</span></div>
<b style="font-weight: normal;"><br /></b>
<b style="font-weight: normal;"><br /></b>
<br />
<div dir="ltr" style="line-height: 1.38; margin-bottom: 0pt; margin-top: 0pt;">
<span style="background-color: transparent; color: black; font-family: "arial"; font-size: 14.666666666666666px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">So there you have it. I’m not hitting on anything new here. I’m just organizing and solidifying some thoughts I have had for a while so that I am able to act on them with more conviction next school year. Thanks Annie for such a wonderful ignite talk.</span></div>
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<span style="font-family: "arial"; font-size: 14.6667px; vertical-align: baseline; white-space: pre-wrap;">SWBCA!</span>Anonymoushttp://www.blogger.com/profile/06222143361713166257noreply@blogger.com0tag:blogger.com,1999:blog-8979382651259598584.post-31738012336853802552016-06-09T13:07:00.001-07:002016-06-09T13:09:31.838-07:00I am now going to start blogging...I am. <div class="MsoNormal">
I created this blog in the weeks before school started. My
goal was to update the site with problems my class would work on throughout
the year and to reflect on the implementation of the unit I spent the entire
summer writing with the Yale National Initiative.<span style="mso-spacerun: yes;"> </span>However grand my aspirations were for this
blog, deep down I knew that I probably would not have the time or energy to
update it once I started teaching. I was right. I have not opened E Blogger in
over 8 months.<span style="mso-spacerun: yes;"> </span>So, here we go again. I
am committing myself, to writing about my practice and joining the Math Teacher Blogosphere as a"blogger". Before doing so, I want to be upfront with the obstacles
(excuses) that have prevented me from blogging in the past:<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b style="mso-bidi-font-weight: normal;">I don’t have time.<o:p></o:p></b></div>
<div class="MsoNormal">
Teachers are busy…blah, blah, blah… Yes, I am busy. Yes, I
don’t have a lot of time. Yes, I keep a spoon and a jar of peanut butter in my desk because I am too rushed in the morning to make a respectable, adult lunch. This excuse of being too busy falls flat when I consider the amount of idle time I spend talking, thinking, and lying awake at night, contemplating teaching
middle school math. Instead of letting these thoughts and ideas float around in
my head, there is no reason why I can’t use some of this time to pin some of
them down in writing. <o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b style="mso-bidi-font-weight: normal;">I don’t rite good.<o:p></o:p></b></div>
<div class="MsoNormal">
I have never considered myself a writer and have a lot of
anxiety over letting others read my writing. My fear of contributing to the
math teacher blogosphere is due in large part to my admiration of the writing
of popular bloggers like <a href="http://blog.mrmeyer.com/">Dan Meyer</a>, <a href="http://fawnnguyen.com/">Fawn Nguyen</a>, <a href="https://tjzager.wordpress.com/about/">Tracy Zager</a>, <a href="https://problemproblems.wordpress.com/">Michael Pershan</a>.
These individuals clearly have nuanced and important ideas and can clearly and
precisely communicate these through writing.<span style="mso-spacerun: yes;">
</span>This excuse is mostly based in my own insecurities, but MTBOS is
certainly an impressive and intimidating community to join. Please excuse my future grammatical/spelling errors and clunky wording.<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b style="mso-bidi-font-weight: normal;">I perceive my ideas
as obvious, cliché, and most likely old news.<o:p></o:p></b></div>
<div class="MsoNormal">
I know that the purpose of blogging in MTBOS is not to constantly pioneer
new ideas and produce groundbreaking essays that will transform the world of
math education. But I will often come to what I think is brilliant realization
around my practice or my students, and then upon more reflection find that,
duh, I should have understood this a while ago or that several other teachers
have already written about this exact thing. This often leads me to conclude
that this thing that is not worth writing about, so I don’t. <span style="mso-spacerun: yes;"> </span>Other questions I ask myself that contribute
to this line of thinking are: <o:p></o:p></div>
<div class="MsoNormal" style="text-indent: .5in;">
<br /></div>
<div class="MsoNormal" style="text-indent: .5in;">
Does anyone really care about this idea?
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
Do I seem self important or naive to write about this idea that is probably common knowledge? <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
Who do you think you are Aaron? </div>
<div class="MsoNormal" style="text-indent: .5in;">
How many people will roll their
eyes when the read the subject of this post?<o:p></o:p></div>
<div class="MsoNormal">
<br /></div>
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<div class="MsoNormal">
I think in order to overcome my inclination to self-doubt, I just need to GET OVER
IT. The worst-case scenario is, nobody reads my blog and it becomes a private,
although technically public, online diary of my own ramblings and ideas on
teaching math.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
I apologize for the poor writing of this post.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Ok, I'm going to close my eyes and press the publish button.</div>
Anonymoushttp://www.blogger.com/profile/06222143361713166257noreply@blogger.com8tag:blogger.com,1999:blog-8979382651259598584.post-48822688645480780792015-08-10T11:38:00.000-07:002015-08-10T11:40:38.618-07:00A Start and Maybe the EndThis is my blog. I am a math teacher who is interested in blogging about teaching math. This is my first post, and it may be my final. There is a good chance that this is one of those silly things that I start and never keep up with, like making my own bread. Anyways, here it goes! Or...here it doesn't go.Anonymoushttp://www.blogger.com/profile/06222143361713166257noreply@blogger.com0