I've been thinking a lot about the arbitrary-ness of education lately. It seems so many of the "professional educational" decisions we as teachers make about our students are more based on gut instinct and personal preferences than anything else.

In these days of increased accountability, the call for standards-based grading/assessment, the constant pressure of high-stakes testing and the ever-present urging of teachers to solve the problems of today's youths, logic would say we are far from arbitrary in our decisions, basing them on data, results, and solid evidence of our original intent and the end result.

Unfortunately, I see the polar opposite in daily practice, my own included.

Grading is volatile topic. Too often, teachers grade students on participation, attendance, cooperation, or simply whether or not the student is "liked". Standards-based grading can eliminate the bias of grades, but the move to these can be complex and confusing for students and parents, as well as teachers. It can also be a time-consuming task for teachers already overloaded.

Other pushes in grades lean towards forgiving missing or extremely low grades and not assigning any grade below a preset cutoff, such as 50%. From this article in the Las Vegas Sun, "Advocates of the more generous policy that makes 50 the minimum F say it is intended to give weaker students a better chance of passing. It is aimed at keeping them from being prematurely doomed by the numbers that are behind report card letter grades," it can be gleaned that even this policy is not hard and fast accurate, at least mathematically speaking. While I agree with the policy in theory, I find it even more difficult to explain to other educators and parents than standards-based grades.

Lucy scores a 52% on her test. Lucy obviously is struggling with the material. In theory, she has mastered 52% of what she should have learned. Pretty straight forward, right? Then comes along Robbie who was less than concerned about his test, knowing the lower grade to be recorded would be a 50% anyway, so Robbie doodles around the edges, attempts a few answers, scores a legitimate 28%, but in the grade program, a 50% shows up. Do we know anymore about what Robbie really can do, what Robbie actually learned than we did before when had he known the true score would be recorded, he might have put forth more effort?

Granted these are extreme cases, but most teachers in today's public schools would shake their heads in agreement of the likelihood of such a scenario.

Past the arbitrary-ness of grades, we can move into the discipline arena. We are planning for our annual 7th grade camp, a 3 day outdoor education experience. Who goes and who gets left behind is always another arbitrary event in education. Most students are going, pure and simple. Camp is intended to be all-inclusive and an honest attempt to allow all to attend is truly made. However, each year there is at least one hard-core, frequent flyer to the office, who simply cannot go along, for his/her own safety or that of others. No one seems to doubt the legitimacy of this decision, not even the student.

But then.... the arbitrary fairies start circling the toadstools. Billy and Joey got in a food fight in the cafeteria. Billy is a model student. Joey, well, not so model, but the decision made must apply to both, so.. OK, let them go. Then Maya and Lacey get into a pushing match in the hall, resulting in Megan getting knocked to the ground and her glasses getting broken. Megan's parents are irate, and Maya and Lacey get suspended. They are both semi-frequent fliers anyway, and the teachers think camp would most likely be more pleasant without them along anyway. And on the story goes, as student by student, decisions are made, without a clean cut plan.

While camp decisions are being made, schedules for next year are being put together also. As the 7th grade math teacher in our district, I am caught up in the drama of which incoming 7th graders should be placed in pre-algebra and which should take simple 7th grade general math. Then I am to also sort and sift my own 7th graders into their 8th grade class, either pre-algebra or algebra.

Too many things way on my mind as I write names in columns. Susie was in pre-algebra this year, and did OK, but is she really ready for algebra in the fall? Mom is a high school math teacher and really expects Susie to be in the highest group, but Susie doesn't like math and would be quite content to coast along in the lower group. Her scores on the placement test are borderline. Knowing Mom's expectations, I feel pressured to recommend her into algebra. But then there is Mickey, who was in regular math this year, not terribly motivated, but extremely gifted in math. His score on the placement test tops Susie by a good 10%, even though he was in a less-accelerated program this year. I know in my heart that Mickey could manage algebra in the fall, but I also know he won't complete his homework regularly, will be disruptive in class, and won't fit into the mold of the 8th grade teacher's idea of an algebra student. I also know there are only so many spots available in algebra. How do I decide Susie or Mickey for that chair?

I don't have a solution; I wish I did. I just feel pulled in all directions by the ever-constant decisions pressed upon me daily. How do I justify my choices to students and parents, and to myself at 2 a.m. while I lay awake contemplating my dilemma? Is it OK that education is not always black and white straight line, but more a gray wavering snail trail through muck?

As the school year winds down and the kids get more and more antsy, and I feel the pressures to FINISH everything, the challenge is ever-more present to find ways to engage and motivate students to meet objectives. One of the grade level content expectations I have always struggled with getting across to students is inverse relationships. While I will acknowledge we do not have a firm understanding of the ins and outs of what these are, my kids really "GET" the idea at a basic level.

First we looked at side lengths of a rectangle with a fixed area. This was interesting since we had already looked at fixed perimeters and considering the difference in how fixed area and perimeter affect side lengths forced them to think in ways they usually don't. Our first task was a 48 square foot garden which I had purchased mulch for. We generated a table of possible whole number side lengths and graphed them. Very cool! Students then did the same exercise with a 60 square foot area. That laid the ground work.

Then today, I gave each partner group a card with a service on it and a total amount of money to be earned. (ex. Earn $250 mowing lawns) They then generated a table of possible combinations. (ex. Mow 250 lawns @ $1 a piece, or mow 1 lawn @ $250, or 10 @ $25, etc..) They graphed their combinations on a HUGE piece of graph paper, and then added an arrow at what they thought was their best, most reasonable choice. These were then hung on the board and each partnership explained their graph and choice to class. We finished up by talking about how an inverse relationship would look if negative numbers were included.

I am impressed they were able to write their equations, complete their tables and graph their points. It was overall, a cool activity!

Tomorrow, is GLAD(grade level assessement device) day. YUCK! This is only a 30 question online assessment from our ISD but it really seems like a waste of a day of class. I am curious to compare their pre and post test scores though.

The days are winding down and I am going to be sad to see most of them move on to 8th grade!

We never did make it outside for Shadow Rendering. Sometimes Mother Nature has other plans. First day I attempted it, the sun was darting back and forth from cloud to cloud, with no predictability at all. Then the weather turned nasty, rain, snow, cold and icky even on the sunny days.

Now I have been gone for 3 days with my husband's surgery and I know I will be out at least one more day. I hate being gone for so long but unforeseen circumstances out of my control. I just hope the kids did what I left, which was easy, very easy, math worksheets on similar triangles, looking at corresponding sides, proving similarity with ASA, SSS, and SAS principles. Had I been in school, we would have done this in a much more fun, hands on approach, but the worksheets will "work" and are "sub proof" which was what I needed. Next week, they will start an end of year project/webquest. Our textbook series(Glencoe) actually has a great set of these I have never used. I decided to not assign a particular one but allow students to choose which of them they thought looked most appealing. I am also allowing them to work with a partner. I am curious to see how things go.

In the meantime, I am sitting in motel room, tired from 3 long days at the hospital, too pooped to even worry about whether kids really worked in my absence, what kind of behavior report to expect, or even what a mess I will have to take care of when I return. It just doesn't matter.....

Is it just me, or do each group of students who come through seem less willing to think on their own? We've been working on slope, y-intercepts, linear equations, for forever now it seems. Yesterday, I gave them a problem comparing 2 yearbook companies, one which charged $10 per book, the other, a $50 setup fee plus $8 a book. Pretty basic problem - needed to create table for given amounts of books, graph the 2 lines, and make some conclusions such as which place is better deal, explain what the slope and y-intercepts mean in context of problem, etc. I thought it would be super easy.

No way... most of them couldn't even make the table for the values!! come on... give me a break already. So after getting them started on that, then, they can't graph the lines. Then they couldn't write equations.

grrr.....grrrrrrrrrrrrrrrrrrrrrrrrrr....................... they DO know how to do all that. Why won't they? Why is it sooooo much easier to feign inability, soooo much more appealing to be helpless, than the actually do it on your own and take a risk at being wrong??

Outside today for shadow rendering? think they can do that... please.... let them be able to do that!!

Is there such a thing as a typical day in 7th grade? If so, I guess that is how today could be described. We started with a 6-12 math department meeting which was simply frustrating. I do NOT understand why high school staff are so reluctant to simply use the State of Michigan's version of an exit exam for Algebra 1, Geometry, etc... When I look at the state's curriculum assessment expectations, I can understand how overwhelming it must be to try to cover all those. But truly, is it any different for them than it is for me? It may actually be somewhat easier at that level because inevitably some students drop out or go to alternative school. It was validating to hear that middle school scores are up and the ensuing recognition of our efforts at that level.

Then off to social studies. We watched a couple of newscasts from Jim Lehr NewsHour about the Sudan. I want students to really understand how deplorable conditions in the refugee camps are. They then started their research on diseases that are prevalent in the camps. They were all working quietly, engrossed (or grossed out... ) in their individual pursuits online so I ran to the 8th grade math teacher's classroom to ask about our earlier department meeting. She was just as frustrated as I so we talked longer than I should have been gone. On the way back to my room, I bumped into the principal and he and I chatted a minute or so. All together, I might have been gone 5 minutes. However, on returning to my room, they were off-task, jabbering away and goofing off. I gave my little "you don't need me here to know what you should be doing" speech to deaf ears.

The rest of the morning was quiet, relatively. Math and pre-algebra classes, I quickly reviewed one last time on slope, y-intercepts and linear equations. Then I passed out the quiz. WOW.. some of them ROCKED, some that I never thought would "get it"! and then, some of my normal 'A' kids, bombed it. **sigh** One young man stayed after to see what he missed - why he had gotten a 10%. Without fail, he could answer each question. When I asked him what happened, he said he was just confused earlier. I don't understand at all.... I just do not!!

But we are moving on, writing and solving 2 step equations in math and working on percents/fractions/proportions in pre-algebra.

another day in 7th grade....

We played the board games the kids made about Life in the Sahara. It was so cute to see them trying to decipher each other's rules and understand exactly what they were supposed to do. They had to fill out evaluations of the games they played and they were very honest and helpful in their comments. I was impressed!

One partnership made a very cool Monopoly Sahara Edition but somehow forgot to make property cards! Otherwise, it was an amazing game.

Overall, most of the games were fun and educational, really turned out to be a worthwhile activity though it seemed like it took forever!

At school on Sunday, getting ready for the week is always a time of reflection and panic, especially as the end of the year nears. It always seems there is so much I want to do with these 7th graders, so many things to teach them, so many activities to share, but time, time, time is always pressing in on me.

We have 7 more weeks of school left, with one of those spent at camp. So I have 6 weeks left to cover everything the state says I must, and make sure I have covered it well enough they actually retain it until next fall on their MEAP test. I have so many concerns about that when they seem unable to retain info from day to day!

We've been working on balancing 2 step equations in math class this past week. They, for the most part, seem to understand the process but what bogs them down is the lack of knowledge of basic math facts and their inability to remember how to deal with negative integers. It seemed last fall when we covered that, they were doing well and we've used it on multiple occasions since then, but now, too many of them, when asked what -11 - 19 is, cannot come up with the correct answer. It is frustrating to be unable to move on because they have not made those skills their own yet.

It has been fun using the graphing calculators though. By forcing students, especially my pre-algebra kids, to think and work on their own, I have seen so much growth in them. They are always so reluctant to try for fear of being wrong, and these activities have tremendously pushed them outside their comfort zones. I love seeing them THINK!

Tomorrow, we finally get to play the board games they have been making in social studies on Life in the Sahara. It seemed like the day would never come with extension after extension of time to work because they were so engrossed and engaged in their creations. I can't wait for them to share with each other tomorrow.

I cancelled my math curriculum meeting tomorrow, as well as Michigan Mathematics Program Improvement Project meeting on Wednesday. I just do not feel like I can be gone anymore this year. I know all that work is important but my classroom and my kids are my #1 priority.