As I am wont to do, I assigned my students an essay. As I am also wont to do, I wrote the essay myself.
The essay topic was free choice within parameters. This was for my College Readiness class: a tangled web, that one is, since it is, first of all, not much about readying the students for college; more about readying them for the college application process, primarily the ACT – which just happens to be the standardized test used to determine the school’s success rate and overall quality rating. Which is, understandably, more important to the school than it is to the students. Also, the class has two sections, and three teachers; so I have one group only on Tuesdays and Wednesdays, and the other group Thursdays and Fridays; they also have math two days a week, and “college and career counseling” on the fifth day, with the school counselor. In addition, the class is required, but it doesn’t fit into the usual categories, so the students get elective credit: making it a required elective, an amusing little oxymoron. Also, it is not required for everyone, because in theory all Juniors have to take the class – but if there happens to be a conflict with a “more important” class, such as math or science, then the student is excused from College Readiness: but if the class is a mere elective, such as life drawing, which happened to be scheduled for the same period as College Readiness this year, then the students who want to take the art class are instead forced into College Readiness.
But all that is beside the point. (Actually, it’s not, which is why I said all of it. But hold on.) The point is, I assigned my class an essay, and then gave them free choice in the topic of the essay. I love doing that, because they SUCK at picking topics. Completely terrible at it. There are some with interests of their own, and enough capacity for words to have something to say about their interests; they have a very easy time of choosing a subject and then writing about it, and good for them. But for the most part? Yikes. Free choice is the worst kind of essay.
So to help them out a little, I gave them a resource. My part of the CR course has two elements: first, yes, I do try to prepare them for the ACT, and the SAT if they want to take that one; college application tests are valuable and difficult, even though we make far too much of their ability to predict success, which is limited at best. But in my part of the class, we do practice the test, work on process of elimination and strategies for finding information in a reading passage, and so on. The second element is application essays: if they are planning on going to college, then next year, when they are Seniors, they will need to write an application essay; so we work on that now, in Junior year, in this class. I use the Common App, a website that creates a single set of application materials which the students can use to apply to any number of colleges around the world; it’s a useful efficiency, and also a good generic application format, for practice. For those who aren’t going to college or who aren’t sure, I see these essays as simply good writing practice: also, I want them to get better at speaking well of themselves, and advocating for themselves, which are both useful skills in all walks of life, and both things most teenagers suck at, because they think talking about themselves is cringey, and bragging about themselves is appallingly arrogant. So we practice essays.
For the first three, I insist they choose a topic from the Common App, which has seven generic topics – things like “What is a problem you overcame and how did you learn from it?” “What is a part of your background or identity that isn’t on your application, but which you think we should know?” – but then for this last one, I show them the University of Chicago supplemental questions.
You see, U. Chicago has, for the last several years, offered a specific question as part of their application. The first question they ask is of the usual type: How does the University of Chicago, as you know it now, satisfy your desire for a particular kind of learning, community, and future? Please address with some specificity your own wishes and how they relate to UChicago.
But then for the second essay, they do this:
Each year we email newly admitted and current College students and ask them for essay topics. We receive several hundred responses, many of which are eloquent, intriguing, or downright wacky.
Those essay topics, which can be found here, are everything they say they are. They include topics like this:
What advice would a wisdom tooth have?
–Inspired by Melody Dias, Class of 2025
And
You are on an expedition to found a colony on Mars, when from a nearby crater, a group of Martians suddenly emerges. They seem eager to communicate, but they’re the impatient kind and demand you represent the human race in one song, image, memory, proof, or other idea. What do you share with them to show that humanity is worth their time?
—Inspired by Alexander Hastings, Class of 2023, and Olivia Okun-Dubitsky, Class of 2026
And
UChicago has been affiliated with over 90 Nobel laureates. But, why should economics, physics, and peace get all the glory? You are tasked with creating a new category for the Nobel Prize. Explain what it would be, why you chose your specific category, and the criteria necessary to achieve this accomplishment.
—Inspired by Isabel Alvarez, Class of 2026
And
Genghis Khan with an F1 racecar. George Washington with a SuperSoaker. Emperor Nero with a toaster. Leonardo da Vinci with a Furby. If you could give any historical figure any piece of technology, who and what would it be, and why do you think they’d work so well together?
-Inspired by Braden Hajer, Class of 2025
And so on.
Last year, my students challenged me to write an essay to this prompt:
Find x.
—Inspired by Benjamin Nuzzo, an admitted student from Eton College, UK
Because they were hoping to force me to talk about math, which I frequently and loudly say I dislike. (I don’t, but the whole school community where I work promotes STEM and talks smack about the arts – why do you think the math and science students get out of College Readiness, but not the art students? – and I want to push back a little bit. Also, I do have some issues with math, but that’s not important right now.) So I wrote about a pirate finding treasure where X marks the spot.
Checkmate, Math Nerds.
This year they didn’t want to choose a topic for me: so I chose one for myself. Here it is:
The seven liberal arts in antiquity consisted of the Quadrivium — astronomy, mathematics, geometry, and music — and the Trivium — rhetoric, grammar, and logic. Describe your own take on the Quadrivium or the Trivium. What do you think is essential for everyone to know?
And here is the essay I wrote about it.
Understanding the Trivium and Quadrivium
Dr. Jeffrey Lehman Explains the “Arts of the Word” and the “Arts of Number”
Written by Finn Cleary
The trivium consists of grammar, logic, and rhetoric, while the quadrivium consists of arithmetic, astronomy, music, and geometry. Together, Dr. Lehman says they lead students to see a “unified idea of reality.”
“The trivium was always pursued first,” Dr. Lehman says. “It’s commonly called the ‘Arts of the Word’ and focuses on different ways you can attend to words. Grammar is used in logic, which is used in rhetoric, for example. All of them move toward a proper presentation of the truth, which speaks to the mind and to the passions.”
Next, students of the liberal arts traditionally move to the quadrivium, or the ‘Arts of Number or Quantity.’
“Humans communicate with each other using words. Humans communicate with the natural order in numbers and in quantities. By discerning those natural relationships, we come to better understand the cosmos. It speaks to us, and we can talk to the greater universe. “
This, by the way, is the image of me teaching that my students took. And altered.
I have often thought that I was born in the wrong century. I would like to exist a hundred years earlier than I do; because my professions and my passions would be, I think, more valuable then; I would still be able to teach, perhaps at a college instead of a high school (but also, I think I would make a decent one-room-schoolhouse teacher) and my writing would be more marketable, and would perhaps furnish me a non-teaching career, which would be lovely.
But there is an attraction with going back even further in time: perhaps to a time when universities taught the quadrivium and the trivium, the two sections of what are bafflingly called the liberal arts, even though they were at the time pretty much all sciences. I appreciate that there is a professor at a small liberal arts college in southern Michigan who teaches about the quadrivium and the trivium, which I quoted above, but I’m not sure I agree with his explanation of them and how they work and why they are important.
Math is how we interact with the natural order? Is it really? I guess we quantify and measure and compare natural things, all of which are math-adjacent if not actually math; but is that all we do? What about living in the natural order in the natural world, of which we are a part? But okay, we’re not talking about life, we’re talking about academia and education. Still: what about art inspired by the natural world; is that not how humans communicate with the world around us? It seems to me like it is. Of course, the classic quadrivium did include music, which I appreciate; but I’m leery of music being the one art when someone starts speaking about mathematics (and when two of the other subjects are math, and the last of the four is a math-heavy science), because there is a strong correlation between music and math. I don’t think that’s all of music, by any means; but I suspect that studying the quadrivium in a program that thinks math is the key to the universe would not teach me so much about improvisational jazz.
(Somewhere right now there’s a math/music geek just revving up a lecture on how there is many maths in jazz. The silences and the spaces between the notes on the scale, the rhythms and repetitions and so on. I get it, sir. Keep your beret on.)
I also take some issue with the trivium, as Dr. Lehman describes it and as ancient universities taught it: grammar to logic to rhetoric as the “arts of the word” is a good way to study language, I agree. But the idea that you could even consider the arts of the word and not talk about poetry? About the great works of literature, past and present and future? That doesn’t even make any sense to me. And “logic” as part of the art of language is a little too close to the math of language, as well: logic is important, both to life and to the proper use of language; but it’s also just about the only place where language can be turned into formulae and equations and functions.
The other place is grammar. Or word problems, but I think we can all agree that those are abominations.
However: I do think the study of language as a foundation for further learning makes perfect sense. I don’t know that I would split it out in that manner, though. I don’t know that studying grammar would be as effective now as it was in the long-ago past; partly because people are far more grammar-savvy now (assuming that they actually read) when they get to university than they would have been in the illiterate ages where nobody had access to books or very much printed media at all; and partly because I don’t think that studying grammar really helps appreciate and understand language all that much. It helps you to understand grammar. And that enables you to write correctly, but writing correctly does not mean writing well, and I think writing well is far more important.
So I have some suggestions for an update of the trivium and quadrivium.
If we consider the trivium to be the stage when we learn how to understand things, instruction in the processes rather than the actual content, I consider that both a reasonable lens to look at the curriculum through, and also a reflection of how we do most school: elementary and middle school are largely about learning how to learn, learning the basic processes and systems of thought, including learning how to read and write, learning how to do math, learning how to think scientifically. Basically for the first seven or eight years of school, we are learning how to think. Then high school, and even more so college, is where we learn things to think about: this is where the serious content appears, and gives us something to understand, which then allows us to build what should be the final goal of all education: our own understanding of the world and our place in it. Every individual should find and create that understanding for themselves, and since that understanding shapes all of one’s life afterwards, it seems like the right goal to see as the pinnacle of education: as the final project before graduation.
So the trivium in university should be the fundamental ways that we think: Language. Mathematics. Art. (“What?!” I hear you cry. “You’re including math?!?!” Sure, I don’t like it, but I respect what it is and what it can do for people.) I think there is room in these to allow for some individual course selection, meaning that the “art” umbrella can comprise visual arts, music, dance, and even poetry, though that might focus too much attention on language when combined with the other strand of study. Definitely we need to learn more about language and how language works and how to manipulate it: too many people focus on too few aspects of language, and that leaves most of us open to manipulation in various ways, and whenever we are manipulated, we don’t learn something we should learn – and that makes it easier to manipulate us next time, and the next thing you know, Donald Trump is president. The same is true for mathematics, and I’d like the university trivium study of mathematics to be more in applied mathematics: probability, statistics, and probably economics, though I’m certainly open to a stronger statement from a more mathy perspective on the specifics there. The language study in the trivium should include some study of grammar in the sense of learning how language is constructed and how we construct meaning with it; I tend to think of that as rhetoric. It should also, without a doubt, include the learning of a foreign language, and I’d like to see that be a different language than the one people “learned” in high school, and I’d like to see the study of that language include study abroad.
But I’m getting a bit far afield here. The point is that the trivium should be about the ways that we can interact with the world, the ways we can construct thought, the ways we can create meaning: it’s the modes of thought that we can control, that we can manipulate. It’s how we think and how we learn, not necessarily the content, yet.
That’s where the quadrivium comes in. That’s when we learn the material that we are now ready to understand better, to chew and digest, to manipulate and shape, to make something out of. The raw material for building, after the trivium shows us how to build. Where the trivium focused inward, on the ways we think and the ways we communicate – communication with others would be outward, of course, but we also communicate with ourselves, through language and math and art, all three – the quadrivium should focus outward. It should show us about the world we live in, and the people we live with, and how we all, world and people, fit into the larger universe. My first quadrivium subject, then, would be history, as that would give us some understanding of who we are as a people, as a human race. (I would also start with that because I think of “liberal arts” as being the humanities, so science can wait its turn.) I think we need to learn history, but I think we struggle with it in school because we don’t follow the thought process of the trivium and quadrivium, first learn how to learn and then learn things worth learning; learning history when one is still mastering how to read is too difficult, because there is so very much information to take in. Learning the impact of history without having a grasp on the mathematical concepts of probability and statistics means we miss the scale, we fail to understand the interactions between events. Recognizing here how important it is to understand causation, I suppose I should include some focus on logic in the trivium: though I think that would happen best as an interaction between language and mathematics; I also think art wouldn’t be lessened by some connection to logic.
So history (And again, opportunity for individual courses here such as sociology or anthropology, along with the study of civilizations and recorded events), and then, I suppose, it’s time for science. Just like with history, I think we need an understanding of both language and applied mathematics before we can really appreciate science: my science study in high school was just a set of difficult courses to master, where my science study in college was eye-opening. Not that my science teachers in high school were sub-par compared to my college teachers; quite the opposite, in fact. But I wasn’t ready for science, I didn’t understand the full implications of chemistry and physics and biology. I think that’s the best argument for college and university education coming at the end of thirteen years of compulsory education: we’re not ready to really learn until we reach college age and college-level mastery of the fundamentals. (I do also think there’s a great argument for having a break in schooling somewhere between 6th grade and 9th grade, but that’s a whole other topic.)
The quadrivium should include a study of biology and ecology. We need to understand where we fit in with the rest of life on this planet and in this universe, if for no other reason than just so we don’t kill it all. Almost all of the problems we face in our future are related to biology and ecology, so if there is material in our world of knowledge which we need to be chewing and digesting once we learn how to chew and digest, it’s biology and ecology. I also think we should study astronomy: because just as humanity is one race of beings in an almost infinitely complex web of life, so the Earth is one tiny planet orbiting one tiny star – but also intricately connected to the rest of the universe, affecting and affected by it all. And if we do ever manage to solve the problems we face as a race (And I should also point out that the problems which are not covered by biology and ecology will be covered by history: though not solved by it), then astronomy will show us where we need to look in the future, to find our next set of challenges to face and adapt to: the stars.
So that’s three of the four (and please note, two sciences, one a lab and one a theoretical science; I’m a little disappointed in myself that my education plan is so similar to high school curriculum; but also, I think that shows the curriculum we have now is not bad) – and that’s where I got stuck. I think there is probably value in studying the world of computers and the internet, but I’m not convinced that’s a good subject for university study. I don’t know that a whole lot of overarching theoretical work has been done, that a body of knowledge about the internet and computers has been created; that is, several different bodies of knowledge have been created – and then made obsolete. Are there theories and concepts that can teach students about both the personal computer revolution and Tik-Tok? I don’t know. If there are, if there is a reasonable course of study that would be general enough to include most of the important themes, but also specific enough to be useful, then computer science would be a good choice for the fourth part of the quadrivium. Certainly the digital age is well begun, and understanding and navigating it will be critical.
If that’s not a reasonable course – or, if like many other things in life, the study of related subjects makes us sufficiently well-prepared to deal with the computer world (which is the same reason we don’t really need to study how to do our taxes in high school, and all those smarmy memes about the Pythagorean theorem can shut it), and personal experience fills in the gaps – then the fourth subject had me stymied for a bit. I think philosophy would be useful: but I don’t know that it needs to be its own study separate from the logic and language of the trivium and the history of the quadrivium. Physics might be a good science to work with, as it enables so many other applied sciences like engineering; but I don’t know that it is applicable enough outside of that, if physics is actually how we solve the problems in our world (And my physicist father is cringing right now, as I write this. Sorry, Dad. I think physics is cool.).
But I did have a thought. As I said, there is a gap in the original trivium of grammar, logic, and rhetoric: the study of actual literature. I do recognize that in the Medieval period, when the trivium and the quadrivium were being codified and then taught, there wasn’t quite the wealth of material that we have today; there was Chaucer, and Sir Gawain and the Green Knight, and a whole ton of stuff about Christianity – and I guess a couple of Greek plays – but it was more limited. Still: I don’t think you can say you understand language unless you understand the art of the language. The same goes for music and visual arts and all of it; you have to know the history of it, have to study the past masters, to know what is possible and how to build for the future.
So it seems like a good idea for the fourth quadrivium subject would be the history of the subjects in the trivium. Literature, as the history of language that has already been created; the history of mathematics, both the people who built it and how it got built; and the history of art and music and whatever other elements were included in the trivium – and more, if possible, because I don’t really think you can learn too much art. All of that seems to me like good material to chew and digest, and then use to make something new.
And isn’t that what education is all about?
(Also, this is in no way connected to this topic, but I couldn’t stop thinking about the band Trivium every time I wrote it for this, and this is my favorite song of theirs. So enjoy.)
So first, here’s a sneak peek of what’s coming up on the blog:
More ranting about education.
But you knew that already. More specifically, I will be posting about standards, because I hate and oppose those little buggers, and I think more people both would and should if they thought about them the way that I do. I will also be posting about how school administration imposes new expectations and demands and responsibilities on teachers, in the form of new programs that get added every year, without ever taking away any programs or recognizing that teachers are already overwhelmed. Both of these posts are intended as foundations for a post I want to write about censorship in schools: because my colleague recently had to fight to get In Cold Blood by Truman Capote approved for her class for seniors.
Why did she have to fight? Because the administrators worried that the book would be too graphic and disturbing for students. That’s right. The book written in 1965, which does describe the murder of a family and the crime scene afterwards, is somehow going to be upsetting to students — seniors — who listen to true-crime podcasts, who watch horror movies and cop shows and more true crime documentaries. And that book is somehow more objectionable than 1984, with its scenes of torture, and Night and The Diary of A Young Girl with their (also historical and non-fictional) accounts of the Nazi occupation and the Holocaust, and every Shakespeare play ever with all of the murders and suicides and dirty jokes (And sexism and racism and so on, but that’s beside the point, right?), and The Iliad and The Odyssey with all of those multiple murders and sexual assault and misogyny and cannibalism and Hell and so on; and The Things They Carried, by Tim O’Brien, which is about the Vietnam War and includes a scene where two soldiers have to scrape the remains of their friend off of a tree after he gets blown up by a mine. All of those books are on the approved reading list.
I was trying to decide between the first two options, standards or new programs, when something happened: and it combines both problems. As part of the fallout from the tussle over In Cold Blood, there was a meeting yesterday with the faculty of my school and the academic team, who preside over all curricular decisions for the whole charter network, which comprises seven schools in two cities.
Now I have to write about that meeting.
So here’s the deal. The school system I work for is moving to Standards-Based Grading. At all schools, at all levels. The move has been discussed frequently for the past couple of years, always with caveats where I and my fellow high school teachers were concerned: Don’t worry, we were told. It won’t happen for a long time, we were told. It’s only going to be the elementary schools that do it. Welp, there’s been a change in leadership, and now the decision has been made: all schools, all levels. Next school year. So I guess that shows you how much you can believe people who tell you not to worry.
Standards-Based Grading, referred to in the acronym-manic pedagogy system (Hereafter to be known as AMPS) as SBG, is the idea that students’ grades should reflect their learning and their skills: not their work. The basic idea is that grades, rather than being applied to the level of completion of assignments — “You did half of the problems on the math homework sheet, Aloysius, so you get half credit. Sorry.” — should be applied only based on level of mastery of the specific standards for the class, according to a single summative assessment (Though there are caveats there, too. Don’t worry.): “You got 80% on the quiz, Nazgul, so you achieved Proficiency in the standard. Kudos.” Whether Nazgul completed the homework or not is irrelevant; she was able to show proficiency on the standard, and so she gets a passing grade for that unit, for that standard. If she continues to show mastery of the standards, she will earn a passing grade for the class, regardless of the work she completes other than the actual assessments.
Now. The idea of this is to make grades reflect the students’ actual learning and mastery of the key skills, the standards. How the students reach mastery is not the point: which means, proponents of SBG say, that a student is not penalized if they cannot complete work for reasons other than ability (such as they have too many other obligations, too much other homework, they get sick, they don’t have materials, etc.), and students do not have to waste time doing homework when they already know the information, have the skill, mastered the standard; which in theory streamlines education and stops making it feel like a waste of time and an endless grind for the students. The academic team was big on advocating for those poor, poor students who are ahead of the class, and who are bored with work when they already understand the concept and have the skill in question. (By the way: boredom is good for you.) It would also reduce the workload for teachers, because we wouldn’t have to grade all that homework and stuff; and as a sop to teachers who don’t like being told what to teach or how to teach it, with SBG we would have freedom to use whatever content and whatever teaching methods we wished, so long as the assessments and grades for the class focused on mastery of the standards.
That’s the ideal. And in some cases, it works: there are examples (usually cherry-picked, but nonetheless real) of SBG being effective. It is more common at the elementary level, because it makes more sense there to have students’ grades focus on mastery of skills; elementary report cards always have: remember how you got ratings in various traits, which were added up sometimes to a letter grade or the equivalent? But there were no percentages, no test scores averaged with quiz scores averaged with daily bell work scores. Just “Dusty does not play well with others. Dusty’s reading is exemplary. Dusty’s Nerdcraft is LEGENDARY.”
So what they want is for me to teach students, say with a short story, but really (they tell me, adding, “Don’t worry”), it could be anything, a poem, an essay, a full novel, about how to Analyze how complex characters (e.g., those with multiple or conflicting motivations) develop over the course of a text, interact with other characters, and advance the plot or develop the theme. Or as we call it in the biz, Arizona Reading Literature Standard 9-10.RL.3. And then after I have taught them — or, really even before I’ve taught them, because one of the selling points of SBG, remember, is that it allows students to avoid doing unnecessary work when they already know the information or possess the skill — so before I teach them, I would give them a pre-assessment (They like the term “assessment” much more than the word “test,” and they are quick to tell us that the assessments don’t have to be multiple-choice quizzes, Don’t worry,) to see if they already know the standard, and then teach them, and then give them a post-assessment to see if they have mastered the standard after the instruction. Those who master the standard, on either assessment, get a passing grade.
See how nice that looks? How simple it is? Just two required assessments, and you have a complete picture of which students learned what they were supposed to learn, and which did not. None of that muddy water that comes from Student A who does all their work and yet can’t pass the test — but passes the class because they do all their work, and then graduates from the class without having mastered the actual skills — and Student B who does none of their work but who can ace the assessment, either before or after, because they already know how to analyze how complex characters develop over the course of a text. (Don’t think too much about the students who pass the pre-assessment and therefore don’t need to do any of the instruction in the unit, and who would therefore sit and be bored… there’s a whole lot more to say about this aspect, and I will.)
So that’s SBG. And according to my district academic team, it is coming, soon, and it will affect every teacher, including me. And, they said, they hope it will make things better: it will give us a laser focus on the standards. It will make grading more representative of students’ actual growth, as measured by mastery of the standards. It will simplify grades, to the satisfaction of all concerned, teachers and parents and students as well as the state Department of Education, which mandates that all schools teach mastery of the standards they set, and assess a school’s success rate using standardized tests of standards mastery — in our case, as a high school in Arizona, using the ACT, one of the College Board’s premier college application tests (the other is the SAT), which tests all 11th grade students in Reading, Writing, Math, Science, and Writing again (The first one is a multiple-choice exam of grammar and style questions; the second writing exam is an essay the students write for the exam.). They’re sure this is the right way to go.
Don’t worry.
As you can tell (And if you’re a teacher who has heard of or dealt with SBG, you already knew from the moment I mentioned the topic), I am worried. Very worried. As were the majority of my colleagues, from all subject areas, who came to the meeting. The purpose of the meeting was for us to ask questions and voice our concerns with this move to SBG, and we had a lot to say.
The academic team, however: not worried at all. They are confident. And every time a question was asked or an objection was raised — and there were several, which I’ll address here — the response from the academic team was, essentially, “But that’s not really going to be a problem, so — don’t worry.” Or, “That potential issue won’t matter as much as this improvement we expect to see, so — don’t worry.” Or, “We think that question shows that you don’t understand what we’re talking about, or that you are somehow against students learning, so — shut up.”
That last sort of response? That was an asshole response. It happened more than once.
But that’s not the issue here.
The issue here is SBG. The first question, the first worry, is: why are we doing this? Why make a change away from traditional grading, and why is this a better system? The answer according to SBG proponents is what I said earlier: SBG focuses more on student achievement of the standards, rather than completion of tedious and repetitive homework, like math worksheets of hundreds of similar problems, or English vocabulary assignments that require students to just copy down definitions or memorize spelling. SBG is simpler and more streamlined. There is also a stronger focus (“Laser-focused” was the phrase that our chief academic officer kept using; but he has a doctorate in optics, so of course he would enjoy a laser metaphor. [If you’re wondering why our chief academic officer has a doctorate in optics instead of education, well. I can’t talk about it. Or my head will literally explode.]) on the standards themselves, rather than on old models that focused on content: as an “old school” English teacher (Sorry; that made even me cringe), I think of my class as organized around the literature: the first quarter we focused on short stories, and now we are reading To Kill a Mockingbird; next semester will be argument essays featuring Martin Luther King’s “Letter from Birmingham Jail,” and then drama, most likely The Crucible, and poetry. What SBG will do, it is to be hoped, is force me to focus instead on the standards: because proponents of standards believe that standards should be the goal of education, rather than completion of units, rather than a goal based around something amorphous and unassessable, like “Students will understand and appreciate great literature.”
I have a response to that. And when I write about standards, and why I hate those evil little gremlins, I will explain.
For now, put it aside: SBG proponents believe that focusing grades on the standards will focus both the teachers and the students on the standards, and therefore improve the students’ ability to master those standards, because the instruction will be more targeted and specific, and because the students will be more aware of what is expected of them, and therefore will try harder to achieve exactly that. Obviously if mastery of the standards determines their grade, then they will try to master the standards.
Our academic team, when my colleague asked why we needed to change to SBG, said that it was forward progress. When she asked more explicitly what in the current system was broken, what was wrong, which necessitated this change, she was told that nothing was wrong; this was simply a better system, for the reasons listed above.
She was also told (along with the rest of us, of course, because we were all in the same meeting) some bullshit: we were told that traditional grading systems are unfair, because the standards that define a grade for a specific teacher are malleable and individually determined. If you give five teachers the same assignment, those five teachers will grade it five different ways. One will focus on the correct answers; one will focus on the student’s process for reaching the answers; one will focus on the neat presentation of the work. All different standards, all different grades.
Remember how I said that they told us not to worry because not all assessments for mastery of the standards had to be multiple-choice-type quizzes or tests? Right. That was because more than one teacher asked about assessments like essays, or labs, or long projects, or large unit tests, rather than single-standard, short, multiple-choice style tests. “Of course you can use any assessment that you like,” we were told. “Don’t worry, we don’t want to force you all to give nothing but multiple-choice tests to the students.”
Shall I mention here that the curriculum which the academic team purchased and imposed this year features short, five-question multiple-choice tests as assessments for all of the standards? Shall I also mention that this curriculum doesn’t apply to any subjects other than math and English — also known as the tested subjects? No, you know what, I’ll wait until later to mention that. Forget this paragraph for now.
We were also told, when my friend also objected that the purpose here seemed to be test preparation, that of course we should be focusing on test preparation: the school is rated according to the results of the ACT (and other standardized tests for other grades); and research shows (They are big on research. Less interested in actual experience teaching, but they do love them some research. Our chief academic officer has also never taught. [Head. Will. Explode.]) that one of the best ways to improve student scores on standardized tests is test practice: exposure to the system of the test, familiarity with the format of the questions and the means of providing the answers (Bubble sheets vs. writing numbers in boxes vs. clicking on options on a screen, and so on, so on). So if one of our goals is to improve the test scores (And the administrator answering this objection asked my friend if she wanted to have our scores go down, and then the school’s rating would go down, and then we would lose students and close, and did she want that? Which, of course, is a belligerent attempt to turn an uncomfortable question back on the person asking, using a strawman argument. It’s bullshit. It’s not a response to a question, it’s not what it looks like to hear someone’s concern. Because the academic team doesn’t listen. Did I mention that the point of the meeting was, ostensibly, for the academic team to hear our concerns and answer our questions?), and test scores are improved by practice with similar testing format, and the assessment test in question is the ACT, which is a multiple-choice test: guess which type of assessment is going to be favored by the academic team?
It ain’t essays. Or projects. Or labs. Or large unit tests. Well — essays will get some respect, because one of the sections of the ACT is an essay. But there aren’t any, for instance, poetic recitals, or creative writing, or music performance, or any of the million things that teachers and schools create so that students can do something more than just bubble in A, B, C, or D. You know: the assignments and projects and grades which mean something, which give students a chance to make something important to them, something authentic, something real.
So this is why what they told my friend was bullshit: because if they really meant that we could use various other forms of assessment, so long as those assessments focused on the assigned standard, then they were lying about SBG being intended to make grades more fair. If their argument is that different teachers will focus on different aspects of the same piece of student work, and make different grading decisions about that same work, then the exact same thing will still be true if we grade according to a standard. Because it is still up to an individual teacher what it looks like when a student achieves mastery of a standard. Also true for a multiple-choice quiz, by the way: because what is “mastery?” 60% right? 80%? 75%? Different ideas of proficiency, individual standards of success. Which, by the way, reflects everything else in life, because our success or failure is generally determined by individual people with individual standards of success. And the way we deal with that is not to try to standardize everyone into adhering to a single standard: it is making sure we understand what the measure of success is, and how we can achieve it. You know: learning what your boss wants from you and then providing it? Does it matter if the bosses at two different jobs have different expectations of you? It does not. So why would it matter if two different teachers have different expectations of you? It does not. To be sure the grading is fair, we need to make sure that the teacher consistently applies the same standards to all of their students. That’s fair.
You can address that issue, by the way, if you want all of your teachers to grade according to the same criteria and the same success expectation. But SBG is not how. You need to bring your teachers together, give them the same piece of work, and discuss with them what grade (or proficiency measure, or whatever you want to call it) that piece of work should receive, and then make them practice until they all grade approximately the same way. It’s called “norming,” and I’ve done it several times, in different contexts. It’s actually good practice, and I support it.
But it doesn’t answer my friend’s question about why we are changing to SBG. Because you can (and should) norm while retaining traditional grades. Using the need for norming as a justification for changing the entire system? Bullshit.
There’s another aspect of the change to SBG which I should maybe mention now, though I realize that this post is getting too long. (It was a long meeting. There were a lot of concerns. I have a lot of worries about this.) They are also intending to eliminate the usual percentage-based grades. There are four levels of mastery of a standard, as determined by the Arizona Department of Education: Minimally Proficient, Partially Proficient, Proficient, and Highly Proficient. The academic team wants to use those four as the new grade scores, for the purpose of averaging into a final grade for a course: 4 for Highly Proficient, 3 for Proficient, 2 for Partially and 1 for Minimally. The student’s class grade will therefore be something like a 3.23, or a 1.97, etc. Sure, fine, whatever; it’s not like I need to use A, B, C, D, and F.
But see, they want to translate those numbers back into letter grades. Because students and parents like letter grades. Because (As was mentioned, as yet another concern, by yet another colleague) colleges, and scholarships, use letter grades — or, more frequently, the overall GPA, weighted and unweighted, that is the standard across this country. So that’s fine, right? We can just translate the proficiency numbers directly: Highly proficient, A, 4.0. Proficient, B, 3.0. Partially is a C, Minimally is a D.
There’s the first issue, by the way. Not Proficient is not an option. Which means there is no F. As long as a student takes the assessment, they will pass the class. Or so it seemed to me: I admit I didn’t ask that question or raise that concern; in fact, other than a few outbursts under my breath, I was silent throughout the meeting. Because I knew if I started talking, my head would explode. That’s why I ranted at my friend for a full 30 minutes after the meeting, and why I’m writing so damn much right now. So they may intend to include Not Proficient, or simply Failing, as a possibility; say if someone takes a test assessment and gets a 0, then they might earn an F. But maybe not. It’s a concern.
But the other problem is this: the academic team has a conversion chart they want to recommend for how to turn this 4-point proficiency scale into a letter grade: and it’s not what you think. They think that a 3, a proficient, should be an A-, a 90%. 4, Highly Proficient, should be an A+, a 100% or close to it. The B grade range should be 2.5-2.99, the C would be 2.0-2.49. D would be 1.00-1.99. (F would, presumably, be 0-0.99, but if there is no score less than a 1…)
I mean, sure. You can set the grade breaks anywhere you want. They did point out that any college asking for our students’ transcripts and so on would be given an explanation of how we arrive at their letter grade, so there would be transparency here. But how many colleges or employers or grandparents looking to give money prizes for every A would actually read the breakdowns? When they are handed a simple overall GPA, in the usual format?
I also have to say, because bullshit pisses me off, that one reason the academic team gave us for the change to SBG was that traditional grading leads to grade inflation: because students who do extra work get extra credit, and therefore score over 100%, which makes no sense if we’re talking about mastery of standards, because once you master it 100%, that’s it, there is no more, and how much work you did to reach mastery doesn’t matter. The standard of mastery to earn a particular letter grade, in this paradigm, is watered down by the inclusion of grades for practice work, what are called “formative assessments.” Think of it like a rough and final draft of an essay for English: when I get a rough draft of an essay, I give feedback on the draft so the student can improve it for the final draft. I give credit for students who completed the rough draft, but it’s just a 100% completion grade: because I want to encourage them to try, and to turn in whatever they complete so they can get feedback, even if it isn’t very good. So I don’t grade the rough draft on quality, just completion. The rough draft grade is a formative grade; it’s just to recognize the work a student put into the rough draft. The final draft grade is the one that “counts,” because that’s where the student shows how much they mastered the actual skill and knowledge involved. That’s called a “summative” grade. SBG would only count summative grades into the final grade for the class. And in order to fight back the grade inflation they see in me handing out 100% grades to students just for turning in a pile of garbage they call a rough draft, they want to change to — this system. Where a 3 is magically turned into a 4, and there is no 0. Nope, no grade inflation happening there, not at all.
And that’s my biggest issue here. Again and again, the academic team told us that the only thing that should matter for a grade is mastery of the standard. Nothing else. No work should ever be graded, because how a student achieves mastery is not the point: only mastery. (Sure. Ask any math teacher if how you get the answer matters, or if it’s only the answer that counts.) They told us that grading for work completion is a waste of time, and essentially corrupt; because it made it possible for a student to pass without mastering the standard.
The essential assumption there, aimed without saying it outright in the face of every teacher in every school, is that the work we assign does not create mastery of the standard. The assumption is that when I give vocabulary homework, it shouldn’t count in a grade because whether a student does it or not makes no difference to their mastery of the standard. In other words, all the work I assign is bullshit, and any grade I give based on completion of it is bullshit.
That. Is. Not. True.
More importantly in terms of what is coming for my school, if a student is told that the homework, the practice work, the rough drafts of essays, are not counted into their grades, they will stop doing them. Of course they will: we just told them those things don’t count. All that counts is the final assessment, whatever that is. It wouldn’t matter how much practice I gave them, how much feedback I wanted to give them; I would have to give all my students an opportunity to show mastery on the final summative assessment, and if they showed mastery, they would get a grade for that standard. A high one, if they showed proficiency. Now, they will have a much harder time reaching that proficiency without the practice work I assign in class: because my assignments are not in fact pointless busywork, I fucking hate pointless busywork and I try very hard not to have any in my class; but regardless of the value of my assignments, if my students don’t get a grade for them, they won’t do them. Period. Except for a very few students who want to try hard, who want to learn, who want to do their best. But those students already succeed, so they’re not the ones we’re trying to help here, are they?
You know what the rest of them will do? They will sweat out the final assessment. They will focus on that. They may study for it, but they will have so much pressure, and so much stress, before any test I give them for a particular standard, that they will not do as well on them as they would with traditional grades and grades for practice work and my own non-test assessments. (Because generally speaking, I also hate tests and try very hard not to have any in my class. I like essays. I like personal responses to questions that ask the students to relate to the literature, to connect to some aspect of it, and to write maybe a paragraph or so. I like annotations on literature, so students interact with the text. I think high school English students should write, as often as possible, and when I ask students to do work in my class, I want to recognize their effort by giving them credit for it in the form of a grade. But I guess that’s unfair grade inflation, right? Busywork? Assignments that don’t show mastery of the standard and so shouldn’t count in their grades?)
I also have to point out that a lot of my students, given the opportunity to do literally no work and then take one assessment to determine their grade in the class? They will guess. Some of them may guess well, but they will guess. Stories will spread of the students who guessed their way to an A on a difficult assessment in a difficult class, and others will try to repeat the feat. I know: I’ve seen them do it. I’ve watched students lie about getting high grades, when they actually got low grades, when they guessed on a test, and that lie made other kids try it. I’ve watched brilliant students describe what they do on tests as “guessing,” when what they mean is that they picked an answer they weren’t 100% sure about: after reading the question, the answer options, using the process of elimination and their generally excellent knowledge to narrow it down to only two good choices, they “guess.” And score high, because that’s actually a really good way to “guess.” But when they say they guessed and got a good score, other students, who are not as brilliant, guess by completely randomly picking a letter, and hope to get the same result — and so ruin their chances of getting a good result, or a realistic result, which they would have gotten if they just tried.
This will make that problem worse. I guarantee it.
And what problem will it solve?
Will it make grades more fair? No: that would take norming.
Will it make grades actually reflect learning? No: students will try to guess and get lucky, or they will cheat. They already cheat, sometimes, but SBG in this model will make it worse because there will be so much weight on single assessments.
Will it make students focus more on mastery of the standards? Maybe, but it will also make them more likely to ignore the work that would actually help them master the standards. You know: the stuff that educates them. Which, yes, is sometimes tedious. Kinda like taking multiple-choice tests several times a week, in all of your classes. But I guess if that helps them score higher on the ACT, then the school is going to look great. Right?
Right?
Don’t worry.
There’s more. Here’s where I should bring up that the curriculum they bought and imposed doesn’t have any material for several of the subjects in the school. That’s sort of a separate issue, because any teacher can create their own curriculum using SBG or not; but whenever teachers asked how we were supposed to implement this, we were pointed to the curriculum and the resources that came with it: which only applies to math and English. The tested subjects. There are also classes, such as my AP classes, and the new electives that we created this year, which don’t have any standards because they are not official Arizona Department of Education classes. And that’s why I like teaching those classes: but how will I do my grades next year if every class has to use SBG and the class has no standards?
Not only do I not know, but the academic team doesn’t know, and even John C. McGinley doesn’t know.
They also claimed that SBG would make grades and student learning more clear to parents, that parent teacher conferences would focus on what the student could and could not do, rather than the teacher merely saying “Little Tikki Tikki Tembo-no Sa Rembo-chari Bari Ruchi-pip Peri Pembo is missing three homework assignments.” Of course, speaking for myself, when I have parent conferences, I EXPLAIN WHAT THE STUDENT SHOULD HAVE LEARNED ON THE MISSING ASSIGNMENTS AND HOW THAT LEARNING CONNECTS TO THE OTHER LEARNING IN THE CLASS, LIKE “When Tikki Tikki Tembo-no Sa Rembo-chari Bari Ruchi-pip Peri Pembo didn’t do the study questions for the first three chapters, that means he probably didn’t completely understand those chapters, and that makes it harder to understand the rest of the novel.” (Though of course, I failed to point out the standard which little Tikki Tikki Tembo-no Sa Rembo-chari Bari Ruchi-pip Peri Pembo didn’t master, so — my bad.) I can’t really fathom a teacher telling a parent the number of missing assignments and then not going on to explain what that means; but that’s how the academic team described our current practice, going on to say that SBG would make those conversations more helpful to parents because we would explain exactly what the student knew and didn’t know, exactly what deficits there are. Which means that their current (apparently, in their eyes, deeply incompetent teaching staff) would change our habit of explaining nothing to parents so long as we had better data to point to.
And one of the staff very intelligently and clearly pointed out that we would be setting students up with a different standard from all the rest of the world, even if everything they hoped for regarding SBG happened exactly as they hoped: because in college, they still use traditional grading, with work counted in the final grade, with individual standards of success and personal bias from the professor. They didn’t listen to her, either.
They told us that we teachers would be helping the academic team to chart the course, that our input would have an effect on the way this process moved forward; but since they didn’t actually listen to any of our questions at this meeting, and they told us that SBG is coming in 8 months regardless of anything we may say, here’s what I have to say to that:
The only times that the academic team agreed with anything the teachers said was when one of my colleagues, and then another, pointed out that parents and students — and teachers — would have a very difficult time adjusting to this entirely new system, and there would be a lot of problems in the transition, and a great need for support. “That’s true,” they said.
But you know what support we will get? We teachers, our students, their families, the whole school community?
“Don’t worry.”
I’ll be a little happier if they at least sing this. A little.
So my first reaction is, “So you are a poet, a musician, with the fire to have something to say and the deftness to say it with music — but you don’t think there was any value in studying Shakespeare? Well you must be a goddamn idiot, then.” But that’s not fair.
Before I get into this any further, let me share this, as well.
All right. Not an idiot. Someone who understands that the speaker in a poem does not represent the author (And yes, I’m a little ashamed that I made the obvious assumption, too. But hey! He insulted English! Them’s fightin’ words!). Intelligent young man with, if I may say, some wrong ideas mixed in with the good ones. So only one part of his brain is a goddamn idiot. No, I’m kidding. And I kid because I love.
I love this goddamn idiot.
(Re: the rhetorical question you ask in the response video about why everyone cares so much about your hair. Bro, have you seen your hair? First of all, it’s beautiful; I kept my hair long for twenty years and never got that much length. Secondly, it is by far your most noticeable feature. People look at your hair the way they look at puppies in a pet store window: with the strength of inevitability. It’s like gravity, and your hair is a black hole. It draws the eye and holds it, and thus becomes your identifying quality, and so of course people comment on it. If you didn’t have the hair, people would call you the thin guy with the lovely hands and the zombie-pallor. If you’re upset that people notice and comment on physical features, get in line behind every woman ever.)
Right: first, let’s address the concern expressed in the song. He claims that the syllabus of required material in public schools is inefficient, that it spends far too much time on material that is not of any practical use, and that it lacks any standardized instruction in areas that would be of tremendous practical use, such as the laws of the country, good voting practices, taxes. And first aid. And human rights. In the commentary video, as in the captions at the very end of the song, he explains that he thinks the more esoteric subjects like higher math (He says “maths” because British, and I wish I could because I like the term better, but I’m not British so it would be pretentious) should be voluntary, and that the current subject matter choices were made arbitrarily hundreds of years ago, and have no applicability to the modern world.
My instinct when I hear this is to circle my arms around my pretties and frown aggressively, like a four-year-old who scored all the good toys at playtime. I don’t mind him ripping on math, but nobody can touch my English classes! How dare you mock Shakespeare? Do you not realize the influence that man had on our culture? Don’t you see that studying Shakespeare is studying life?!?
Then I remember. I remember first that I myself have argued many times against the specific run of required classes. That I have wished for more electives and greater freedom for students, and even for me as a teacher (Why can’t I teach The Watchmen and V for Vendetta? Oh right: sex and blood. And I quote: “Loosing her virgin belt, he lapped her round in sleep and when the god had consummated his work of love he took her by the hand and hailed her warmly: ‘Rejoice in our love, my lady! And when this year has run its course you will give birth to glorious children— bedding down with the gods is never barren, futile— and you must tend them, breed and rear them well.” Yup; a divine Roofie and rape, followed by, “Hey, be happy now! You’re going to have kids, too!” That would be from The Odyssey, by Homer. Want me to quote the part where Odysseus plunges a burning stake into the cyclops’s eye?). I remember my own public school experience: I hated math, too. If I could have dropped it, I would have pursued more art, probably — I loved my calligraphy class, and I could have gotten behind some ceramics. Or another go at woodshop. That would have been excellent. Of course in my case, I was already taking choir and Italian, and I had gone through every English elective the school offered by Junior year. My school was not the school he is talking about.
I also remember that I kind of hated Shakespeare. I enjoyed Macbeth, but Romeo and Juliet killed me. Seriously? Your plan is to fake your own suicide? That’s what you came up with? Then again, you are seventeen and thirteen, and you’ve known each other for all of three days (By the way: a plot hole that I can never really talk about when I teach this is the fact that the pressure on Romes and Ju-Ju comes from her father’s intention to marry her off to the Prince. The solution to which is to marry the Montague first. They already have a man of God to perform the ceremony, and consummation is not an issue — after which the Prince wouldn’t even want her, and would go away. Because there is no divorce at this time. The Prince or the Capulets would have to kill Romeo, and that little weasel’s harder to kill than cockroaches. Scandal? Ostracism? Sure, but they already have that with Juliet’s plan. And this way, no dying, not even fake dying.). And the best scene in the play is when Mercutio gets stabbed, and cries out, “Oh, I am slain!” and then AFTER that, Romeo asks, “What, art thou hurt?” My friends and I had a field day with that one.
I get it. Especially the hatred for math and the quadratic equation. But higher math is a low-hanging fruit: it seems readily apparent that the more esoteric math is nothing the average person would use on a daily basis. After you come for math, though, the next thing you reach for is the study of great literature, particularly poetry and quality literary non-fiction, George Orwell and James Baldwin and Virginia Woolf. Because why would anyone need to know Shakespeare? Or haiku? And there, I see problems.
Here’s the thing: high school is not about teaching valuable facts. There are not that many valuable facts in the world. Yes, the things he mentions should be taught, universally and intentionally; his point about people dying for a lack of first aid/critical care knowledge is well-taken. I got first aid, but not everyone does, and everyone should. And we should teach how to balance a checkbook and fill out taxes just so people will stop throwing that in the face of public education every damn day. But you’re talking about maybe a week’s worth of material, in only one class. How long does it take to learn how to fill out a tax form? Maybe the British ones are brutal, but the 1040EZ? Seriously? Even without TurboTax, it’s like fifteen minutes, and the instructions tell you where to find everything. Same with balancing a checkbook: “Save receipts. This column is for Bye-Bye Money, and this one is for Hello Money. Finally, learn how to do math. Now for our next lesson, boys and girls . . .”
I’m exaggerating, and I shouldn’t. Yes, there should be a life skills class. Yes, it should cover the actual method of finding a job, registering for college, and the basics of finance, and laws and rights. I don’t know about parenting, which seems to me a larger subject than could be taught in any school, anywhere — but sex ed? Hell yes. How to recognize mental illness? Probably good, but might be better in a psychology class; I would think that would do better for those interested, rather than everyone. Things that could be taught in a simple manner, and that would be directly applicable to life: I can agree they should be in school. And it really wouldn’t take much to make that happen.
Voting, on the other hand. And human rights. That’s a more complicated thing. That, we should teach more seriously.
That, we do teach. Seriously.
I don’t know much about the list of human rights; I’ve never looked at them. (I probably should.) But I teach good voting. I always have. How do I do this, being an English teacher? I teach critical thinking. That means, to me, that I teach my students not to accept what they see at first read. When we study a poem, we read it through first, and then we try to understand it — which generally means taking each piece of the poem both as an individual statement of meaning, and also contributing to a whole. I teach my students to look for added meaning, like emotional shading and bias, in the words the author chose, in the characters that novelists build, in the specific details that writers include and those they leave out. And I teach my students to connect their lives to the lives of the characters, and the authors; to feel empathy, as much as that can be taught, and to see parallels that aren’t always immediately obvious. These are the very things that should make people good voters: reading motive and sincerity, knowing the difference between facade and reality, understanding the tension between allegiance and independence, and questioning everything. I teach a lot of questioning.
Does every student get it? No. Would more get it if I taught these things explicitly, rather than asking my students to make the mental leap from my class to their actual lives? Probably, but then they wouldn’t be able to make the leap from my explicit lesson to any other aspect of life — as in, if I taught how to vote in a presidential election, could they then use the same skills in determining guilt or innocence when they serve on a jury? If they can’t make the connection themselves between The Crucible and modern politics, why would they make the connection between voting for President and voting guilty or not guilty? At some point, students have to use what they are taught themselves, which means they need to adapt it themselves to their own lives; I cannot teach everything, nor can I walk through each of my students’ lives like some freaky stalker-Yoda, dispensing just the right advice at just the right moment to all of them, forever.
The point is, high school is not where you learn what you need to know. High school teaches you how to think. (College gives you something to think about.) You will never use directly 90% of what you learn in public education, not poetic devices, not the terms of each President or king, not the quadratic formula. You will always use the habits of mind you learn — and not the ones you don’t. And I’ll tell you something else: that quadratic formula that is burned into your mind? If you don’t use it, you will forget it. I did. You were rattling it off in your rap, and I was gaping slack-jawed at all the strange letters and symbols. Then I thought, “Okay, I kind of remember that. Not how to use it, though.” But even in the few seconds I was looking at it and thinking about it, and the few minutes afterwards when a shred or two of the formula stayed in my mind, I started to break it down. I thought about simplifying the equation. I thought about the order of operations, and how to isolate a variable.
I thought like a mathematician. Because I learned how to do that in high school. (Thank you, Jo Ellen Hillyer, and all the other teachers whose classes I hated, but learned in anyway.) I took enough math, and learned enough in those classes, to gain a habit of mind. I haven’t used it often, not consciously; but I have learned something about logic, and I have no doubt that when I put on my logic hat, the tag inside says “Math.”
So I think, sir, that you and everyone who agrees with you (including teachers) are thinking of public school curriculum in the wrong way. Don’t think about isolated facts and their utility. Think about the ways you think, and how easy it might be for you to change from a math situation to a science situation to a history to a language. If you took all those classes in college, or if you work in, let’s say, CERN in Switzerland, and you might have to go from an engineering meeting to a physics meeting to a PR meeting to lunch with the French speakers on staff, then consider whether or not the required classes in public school were of use to you.
Now. Is all that to say that the schools work well? No. Common Core, standards, and the hegemony of Data are killing American education, and probably having some influence worldwide. Are the required classes the right ones? No; I think you’re probably right about the upper level math making better electives than requirements. But the issue should not be whether a kid is interested in the subject; and it should not be whether a kid is going to use that material in his future career: one of the things killing education, and making your problem worse, is the urge to prepare students for making money; because the business folk will tell you they want students highly trained in math and science. So starting from a career orientation is just going to bring the math hammer down. Allowing pure free choice, while a good and important ideal, will lead to students who take only the easy classes, and others who take classes only in order to get a certain job, and not necessarily one they care about: one they think will get them the right money for the right effort. Free choice is not what you want to base the decision on, not for teenagers. What you want to do is consider this: has the student mastered the habit of mind that comes with that subject? Once you learn to think in math — and I would say that probably comes with algebra, maybe trigonometry or geometry, because proofs and the like, and the manipulation of formulae, and the conversion of functions to graphs and back, are all good mathy ways of thinking — then that’s probably enough. Same with history and language and science. But we need to remember what school can do and what it should do — and it really, really isn’t for allowing kids to explore freely. That’s what the world is for. School is for teaching you how to find what you need, and recognize it when you find it, and that can be taught in any subject, and isn’t taught in enough.
Now: where were those human rights, again? Ah. Here they are.