Should I Even Bother Reviewing For Final Exams?

Happy New Year, everyone!

It's been a while since I last released one of my incoherent ramblings into the wild jungles of cyberspace, and I have much to talk about, so expect to see a few more posts in the coming days. (And if you don't see said posts materialize, please nag me until I get them done.)

(As a side note, as of this writing, my blog has about 25,000 views accumulated since my first post in July. 20,000 of those views are attributed to a post I wrote in August about the ninja board. Apparently Google likes ninjas.)

My school resumed classes today, and 1st semester final exams are coming up in a week and a half. That means the time has come to start reviewing for finals.

I've been wondering about this lately, the idea of spending a week and a half of class time reviewing for final exams.  I'm not completely sure I ever do it the right way. Actually, I often wonder if there even is a right way.  

Does it even do any good to review for final exams?

Every semester, I take the last week and a half or so before final exams to review with my students everything that we learned over the prior 16-17 weeks, tell them what kinds of questions to expect on the final exam and how many, give them time to work on review packets/assignments/flaming obstacle courses, etc. and so forth.

I've tried various ways of helping my students to take stock of what they learned (or were supposed to learn) over the semester. We've done the "review for finals process" as a project (with a rubric and everything) where students had to develop and publish their own study guides. We've done the classic "Jeopardy!"-style review game. We've done notecards that students were allowed to use on the final. We've done review assignments with the final exam questions literally lifted from the exam itself, with the numbers changed.

And what bothers me is this: Not once, that I can recall, in the four years I've spent teaching so far, have I been able to discern whether or not these methods of reviewing have done any good to any of my students.

What appears to happen is that the students who more or less have been "getting it" (or have been perpetually on the cusp of "getting it") all along are best equipped to understand and solve the problems set before them on the review assignments. Students who have been struggling all semester -- for whatever reason -- also struggle to find success on review assignments. It strikes me as a situation where the students who benefit the most from reviewing for finals are also the ones who need it the least, and the ones who benefit the least are the ones who need it the most.

I don't know why this appears to happen. (Or, if I'm really being honest, if it actually is what happens.) Maybe I haven't been making enough of an effort to find out. Maybe it's some bizarre phenomenon that can't be explained, like Honey Boo Boo. Maybe I suck at teaching. (Okay, maybe not.)

I was discussing this matter with my lovely wife the other night, and she asked me, "well, how do you know whether or not it's helping your students?" I thought about it, couldn't come up with a great answer, got childishly frustrated then stammered something like, "it's just based on what I've observed in class, I don't know how to explain it!" Then I pouted and decided to go do something else, because I'm so mature.

The bottom line is, I've never really been confident in my approach to reviewing for finals. I haven't made it easy for myself to tell whether or not my approach has a positive (or negative) effect. Maybe that's what makes me wonder if reviewing does any actual good.

Perhaps in the naivety of being a young teacher, I've been thinking of it the wrong way.  I think the best way to describe how I've approached reviewing for finals is that I've seen it as an eleventh-hour scaffolding activity, intended to give students one last hope at having a mathematical epiphany, a lifeboat that will float them safely through the perilous, shark-infested tides of the final exam.

It never seems to really work that way. No lifeboats. Sharks with happy tummies.

Maybe I should be looking at reviewing for the final exam as part of the cumulative assessment itself. Reviewing should really be more of a time for reflection and fine-tuning, not making a last-ditch effort for comprehending something for the first time. That's not to say there won't be a few students that do get that benefit from reviewing, but that shouldn't be the point. The point should be to look back at all of the work we've done all semester, take stock of what we've learned and what we still have questions about, address areas that still need addressed, and perhaps even celebrate.

My angst aside, here's what I'm trying this time around. The other day, I remembered something I read on David Coffey's blog about giving students the answers to the problems and having them explain how to get that answer. In my case, I'm going to provide students with a set of problems that are similar to what's on the final exam, give them all of the answers, and require them to explain how to get each answer. This way, they focus on how to solve the problem as opposed to focusing on getting the right answer.

I don't really know if this will be any better or any worse than what I've tried in the past. But, I think it will at least alleviate some of the anxiety and second-guessing that comes with reviewing for final exams. We have a week and a half, which should be plenty of time to address any questions or concerns that arise as students work through their review assignments, particularly since I am putting the focus on articulating their mathematical thought processes.

Will it do any good? Your guess is as good as mine.

It's School Again! Huzzah! (Part 2 of 2)

The freshmen had their first day of school with us last Tuesday; on Wednesday, the rest of our students returned and I got to see my seniors for the first time since I last had them all as sophomores.

This year, one of my goals for my math class is to get my students writing more and to practice digital citizenship by focusing on communicating with peers in an online environment. To that end, one of our opening activities was for students to respond to a discussion board prompt on our echo course page.

The questions were pretty simple:

Many of the responses were encouraging to read; a lot of students stated they were planning to go to college after high school and that they were excited for graduation. Several students said they were excited to have me as their teacher again because they enjoyed how I teach (which I'm not particularly sure how to feel about since I think I was probably doing many things wrong two years ago).

Some students had their priorities straight:

While other students took a rather avant-garde approach:

Still, I learned a great deal about my students. A few of them said they wanted to go into graphic design; one wants to be a zoologist; one is thinking about cinematography or film; a few are considering getting business degrees; one wants to be a mechanic; one has aspirations of joining the FBI; some are planning to go into the military; and many, many more. There is a lengthy, eclectic list of careers my students want to pursue after high school, which is awesome.

Other students are unsure of what they want to do after they finish high school, which is also okay. I'm hoping that during this year I can connect with these students and help them figure out plans and goals for themselves for a post-high school existence.

At any rate, this discussion board activity served two important purposes. First, as I just detailed above, I learned a lot about my students. I know more about their post-graduation plans and their interests, which will help me a great deal in tailoring our class to incorporate their interests. Second, the activity established a baseline for their ability to communicate and interact with each other in a supervised online environment.

I saw some good things. The students were able to follow directions well for the most part, did an "okay" job of using polite language (save for one student who jokingly said her mom would "beat her ass" if she didn't get a good grade in math), and responded to each other's posts while making an effort to comport professionally.

I also saw some things that need a lot of work. The vast majority of the students re-posted each question and answered them in a list format. I would like to see them get away from re-posting questions and answering in a paragraph form. (Not that answering in a list format is necessarily a bad thing, but I would like to see them practice putting their thoughts together in a coherent, flowing format.) Spelling, grammar, and punctuation remains an issue; I realize that I'm a math teacher, but that doesn't mean I can't give them feedback on these things. (Actually, I minored in English at Michigan State, and am certified to teach the subject in the state of Michigan.) The replies that students wrote to each original post were also, for the most part, superficial. I saw a lot of "I agree with you"-type posts that had little depth and weren't suited to continuing the conversation. Again, not necessarily a bad thing; plus, I wasn't expecting most of the students to be able to do this on the first go. We were simply establishing a baseline to help us identify what to work on. By the end of the year, I'm hoping to see well-crafted, thoughtful responses and replies that result in deeper conversation. (To be fair, this probably requires a deeper topic than what I gave them to start with.)

Outside of the discussion post activity, the majority of the time was spent administering a math benchmark test to establish where the students are in terms of content mastery. This benchmark will help me determine what the students already know, what they still need to master, and thus where we should focus our efforts as far as mastering content is concerned.

Probably the coolest thing of the week that happened was Friday. Many students still needed to finish their benchmark from Wednesday/Thursday, while others were already finished and weren't going to have much else to do. This seemed like a great opportunity to preview the election-themed project that we're going to be launching when we come back from Labor Day weekend.

I decided to get together the students who were already finished with their benchmark in each class for a Critical Friends session. The students had seen the Critical Friends protocol in their sophomore English class and were somewhat familiar with the procedures, so I gave each class a quick refresher before starting.

It went alright in my 1st period class, but the students more frequently got off-task in 2nd period. I realized that I needed to designate a few students to be responsible for steering the "I Like/I Wonder/Next Steps" portion of the session and keeping everyone focused on the task at hand. So, in my 3rd period, I asked the group if anyone was comfortable leading the discussion. Three students immediately spoke up, so I told them they were responsible for keeping everyone on task. I presented the project idea and sat back to let the students discuss it.

I hadn't expected what transpired next.

One of the students I designated to lead the discussion immediately chose a student to read the entry document out loud. The other students all listened intently as she read through the entry doc. After she was done, one of the other student leaders grabbed a dry erase marker to start writing "I Likes," "I Wonders," and "Next Steps" on the board while the other two called on students for their feedback.

I was amazed. I was very proud and excited. I thought to myself, "SOMEONE HAS TO SEE THIS!!"

So I shot a quick Skype message to our assistant principal, who came down a few minutes later as the session got in full swing. We were enraptured by how well the students had taken over the conversation, listing several "I Likes," "I Wonders," and "Next Steps" while conducting themselves in an orderly fashion:

I was very impressed with what the students were able to do on their own. I had actually intended to listen to their conversation and write down all of their feedback myself (as I had done for the first two periods), but they completely took care of that for me! The only thing I'd done was to assign a few students to lead the discussion, and they took it from there! It was really awesome to watch.

I did the same thing with my 4th period class and got similar results. Our principal stopped by my room during that period and was very proud of the students for what they were doing -- she even joined in and gave some Critical Friends feedback herself!

As I said, the students had previous experience with the Critical Friends process in their sophomore English class, so I made sure to track her down and let her know what had transpired in my class. When I told her they not only remembered Critical Friends, but successfully ran a session on their own, she did a happy dance.  I imagine the news must have been incredibly satisfying -- it showed that these students had actually been listening to her two years ago.

So my week ended on a high note. The students gave me some great feedback for our project, and most of them seemed to be interested in the idea.

I would love to expound more on Week 1 (and I did give an update on the Ninja Board), but there's still much I need to do for Week 2! A teacher's work is never done. Until next time!

Ninja Board Update: Week 1

Previously, I talked about this silly idea I had to implement an achievement system themed around ninjas for some reason. The original intention was to see whether or not it would have an affect on student motivation in my class, particularly in the academic respect.

While there have only been three days of school so far and it's waaaaay too early to tell whether or not this will be the case (just as ESPN.com is jumping the gun on projecting my Spartans to go to the Rose Bowl), I made an important realization: the Ninja Board is perhaps going to be far more useful as a tool for developing classroom culture (which, of course, would affect student motivation in turn). This is because I can use it to define and recognize those "awesome moments" in class and capture them for posterity.

Some things went according to plan on the first day. I said absolutely nothing about the Ninja Board. I didn't even point it out. I was secretly planning to award the first ninja point to the first student who asked about the Ninja Board. I figured someone was going to at some point.

The entire first block passed without anyone asking about it.

I was genuinely surprised at first; then I began to think that perhaps nobody would ask about it unless there was more to pique their curiosity than just a blank wall.

I looked for other opportunities to award ninja points to a few students. During my second block class -- which also ended up passing by without anyone noticing the Ninja Board -- one of my students asked me if I wanted to see the folder she was using for my class. I said I would love to, so she reached into her binder and pulled this out:

COOLEST FOLDER EVER.

So I decided to award her a ninja point for being the "first to bring in a ninja item."

I have a particular way of awarding ninja points. When a student does something worthy of a ninja point, I say nothing. I don't announce, "CONGRATULATIONS! YOU WIN A NINJA POINT!" (Doing so would be very un-ninja-like; ninjas don't announce to their victims, "GREETINGS! I AM ABOUT TO ASSASSINATE YOU WITH THIS KATANA! YOU'D BEST ATTEMPT TO FLEE!")

Instead, I jot a note to myself on my iPad: I write down the student's name, how many points they earned, and the reason they earned the points. During my planning time, I make a sign for each student that earned ninja points:

Before I leave school for the day, I tape all the signs to the wall. The students don't find out that they earned ninja points until the next day when they come back and see their names posted.

So after the first day, I picked out three students who earned a ninja point. (And the cool thing is that since I tell the students absolutely nothing about the Ninja Board, I can come up with all kinds of reasons to award ninja points.)

The next day, another block period passed without any questions about the Ninja Board. Finally, however, one student approached me during second block with the question:

"Hey Mr. B, what's the Ninja Board?"

I smiled. I smiled partly because I was happy someone had finally asked me that question after nearly two days of waiting. I smiled partly because she was going to get a ninja point for asking that question. Mostly, though, I smiled because I knew what my answer was going to be:

"That is an excellent question."

And I said nothing else. I think I giggled involuntarily.

A few more students earned ninja points on the second day, and more names were added. On Friday, I have several more inquiries about the Ninja Board, and each time I replied with a non-answer. Slowly but surely, interest in the Ninja Board started picking up.

Even though I'm being incredibly stubborn with my refusal to explain the Ninja Board to my students, I do want them to know what they're earning ninja points for. So, in addition to their names, I also post a list of "unlocked ninja achievements." Here's the complete list from the first week of school:

In all honesty, only about one or two of these "achievements" were pre-planned. The rest are being made up as I go. When I notice my students doing something really awesome, like demonstrating leadership or kindness, that kind of thing deserves ninja points. If I have one of those little student/teacher "moments" where we're building or supporting good rapport, I give ninja points for those, too. To keep my students on their toes (and partly to include those students who are traditionally the "invisible" ones), I also award ninja points for other random things.

It seems to add a certain whimsy to our classroom culture that I particularly enjoy. I'm curious to see how the Ninja Board will continue to play out in week two.

Incidentally, there's much more about the Ninja Board that I haven't revealed yet on this blog -- but that can wait for another time.