Wednesday, April 24, 2019

Why All Grades Are Subjective

It's been quite a long time since I posted a blog entry. My life has been very busy with a full-time job, a dissertation to write, and a household to maintain. Today I'm going to share a reply I sent to a student email about why all grades are subjective.

Image Source: Alexander Russo. "This Week in Education: Cartoons: 'Climb That Tree.'" Scholastic. Accessed 24 April 2019. Note: The attribution of the above quote to Albert Einstein is almost certainly false. See its entry on Quote Investigator for more information on its probable origin.
For context, Monday was the first day of BYU-Idaho's Spring semester. As usual, we went over the syllabus, and as I explained my somewhat heterodox grading policy (which I implemented in part to address the challenges of subjectivity and grade disputes), I declared that grades have nothing at all to do with learning, and that all grades, not just English grades, are subjective. At this point, I paused. I told them that one of my grad school professors, James Paul Gee, often says that "Academics is an evidence game," which means that when we make claims, we provide reasons and evidence to support our claims, and in so doing, we subject our judgment to scrutiny. However, there was insufficient time at that juncture for me to provide evidence to support my claim that all grades are subjective. I said if any of them would like me to do so, they could email me, and I would be happy to oblige. One student did (the first to take me up on my offer in three years, hurrah!). Below, I copy my reply:
Dear Student,
I'm so glad you asked!  
All grades are subjective because teachers (or administrators, or state and national standards boards) have to make choices about what to measure, how to measure it, how to weight each thing they are measuring, and so on. Let’s take math as an example.

Most people consider math to be the least subjective of all academic disciplines, because, at least at the level of arithmetic and simple algebra, it is clear whether a student got the answer correct or not—whether their final calculation “adds up.” However, math teachers still have to decide whether to grade solely on whether students calculated the correct result, or whether to include the student’s process of calculating their result. In other words, they have to consider whether students should get partial credit depending on how well their calculations demonstrate that they are grasping the concepts, even if they make errors along the way and ultimately may not get the correct result. If teachers decide to grade on both process and result, they have to decide how to weigh process vs. result in determining a score.

One problem with grading based only on getting the correct result is that any student with a calculator and an understanding of how to use it can get a correct result, even if they do not understand the underlying mathematical principles. If we only care about whether students can use calculators correctly, then why teach math at all? The reason is because we need people who understand mathematical principles in order to conceptualize and solve difficult quantitative problems that machines cannot do all by themselves—we need mathematicians who can think holistically and creatively. That requires that we measure process—but standardized tests, which measure outcome, do not measure process. In fact, if you ask a professional mathematician whether process matters less than, as much as, or more than outcome, I guarantee they will say that process matters as much as or more than outcome. Some ways of formulating a calculation are better, “more elegant” than others, even when they both get the same result. Thus process matters, and expert judgment, which is to some degree always subjective, is required to evaluate students’ answers to set problems. But as any builder or engineer can tell you, getting the right answer to a mathematical calculation matters a great deal! So we can't grade solely on process, either.

In creating exams, teachers have to decide not only what sorts of problems to set, and in what form (i.e. written out, multiple choice, etc.), but also how to weight different kinds of questions. They have to decide how to prioritize the importance of different mathematical concepts in determining how well students are demonstrating learning the core objectives of the class. They have to decide what those objectives are. They have to decide whether to “curve” their grades or not. Furthermore, even when a test and its scores are “standardized,” the teaching itself may not be. Different teachers will naturally emphasize different aspects of a standardized curriculum, and will be better at teaching some concepts than others. That will likely affect student outcomes on standardized tests—so then, how much are the tests measuring student outcomes vs. teacher performance? This is one (misguided) reason why some national school standards programs have tried to penalize teachers when their students underperform on standardized tests. But that, too, is problematic, because teachers control very, very little of what our students come into our classes with and take away from our classes.

So let’s consider some aspects of the student half of the equation. Going back to the question of results vs. process, some students start out “ahead” of others. The students at the top may make very few gains over the course of a semester—in other words, they did not learn much. In contrast, students closer to the bottom may make lots of progress. Yet if grades are based on outcome, the students who started out ahead and learned little would get an A, while the students who started near the bottom and learned much might still only manage a C. On the other hand, if we measure process, then the student who learned the most but still has a poorer grasp of the subject would get an A, and the student who learned little but has a better grasp of the subject would get a C. That also seems unfair, doesn’t it? Would it be fair to measure both process and outcome, and give both students a B? I don’t know—that’s why it’s subjective.

But wait, there’s more! Evidence demonstrates that students who get a good night’s sleep and eat a good breakfast before an exam will score much better than those who don’t. And students who experience greater stress in their environments tend to struggle more in school—it’s hard to stay focused on math when you’re worried about whether your older brother is going to get killed by someone just because they think he “looks suspicious,” or whether your unemployed dad will be drunk when you get home, or whether you mom will have managed to save enough money from being spent on alcohol to buy you and your siblings some fast food for dinner (because your electricity has been turned off and you have no way to cook meals at home). It’s hard to get enough sleep when you get woken up by the sounds of gunfire. It’s hard to stay focused when your stomach is gnawed with hunger because your parents can barely afford to provide one meal per day, and the hard classes you have to take are all scheduled before you get to eat your school lunch. And so on.

Thus, if a student who lives in a secure neighborhood, in a secure home, with parents who are financially secure enough to provide regular meals and other kinds of support gets an A on the exam, and a student who lives in a dangerous neighborhood, who has had to move three times already this year (changing schools along the way), who sleeps on a mat on the floor in an apartment with thin walls through which she can hear the neighbors fighting until well after midnight, and whose mom is working three jobs just to make ends meet and cannot afford to provide breakfast gets a C on that same standardized exam—does that really reflect the academic merit of each student? If a teacher takes such obstacles into account, though, then those grades are obviously subjective. They are tailored by the expert judgment of a particular teacher about the needs, circumstances, strengths, and growth of a particular student. If the teacher does not take any of these environmental factors into account (perhaps even relying on a blind grading mechanism to ensure they don’t know which exam was marked by which student), then the grade appears more objective, but as I said: it measures outcome, not learning; and that is itself a subjective judgment call about what matters.

All of these factors influence the subjectivity of grades. Nevertheless, we must have a way to measure students’ learning and their grasp of core concepts. We must have a way to give them feedback about their progress. Administrators and school officials like grades because, as numbers, they seem objective. Furthermore, they’re easy to add up and track over time (which is advantageous to teachers as well as administrators and school boards). They’re scalable in a way that more specific written feedback is not. These administrators and school officials rarely stop to ask what those letters and numbers mean—what they are actually measuring. Learning is far more complex than can be measured by any set of numbers, let alone a cumulative course grade or GPA.

And speaking of GPA, let’s talk about the way it’s calculated. Here’s a standard* grading scale:

Percent Grade

Letter Grade

4.0 Scale

97-100
A+
4.0
93-96
A
4.0
90-92
A-
3.7
87-89
B+
3.3
83-86
B
3.0
80-82
B-
2.7
77-79
C+
2.3
73-76
C
2.0
70-72
C-
1.7
67-69
D+
1.3
65-66
D
1.0
Below 65
E/F
0.0

Scores for all graded assignments are totaled up (using weighted algorithms that vary from one class to another) into a final percentage, which is then converted into a letter grade. This reduces the complexity of the data, because it’s the letter grade that gets converted into a GPA. Note that in some cases, a difference of only 1% on a final grade (a score of 89% vs. 90%) results in a loss of .4 points in the calculated GPA—the same as a difference of 5% (an 87% vs. a 92%). The final grade and its attendant GPA tell us nothing about the relative difficulty of the class, what specifically the student actually learned and can implement outside the context of a regimented classroom, or how much progress they made from the beginning of the class to the end. It’s just a letter. It’s just a number.

Anyway, that’s why all grades are subjective.

Sincerely,
Sister Robinson

*Note that I said a standard grading scale, not the standard grading scales. There are variations from one school, academic department, and even one course to another. 
This is my new Betta, Irving Braxiatel. He earns an A+ in Being A Fish. This is the only grade that is completely objective.


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