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So, should I still take the SAT?

Executive summary: Take the SAT as a social challenge, not as an academic one.

ὁ ἄνθρωπος φύσει πολιτικὸν ζῷον – Aristotle, Politics I 1253a

Aristotle famously remarked that “man is by nature a political animal.” Exactly what this means has fueled debate and social dialog for centuries, but Aristotle does give us two clues as to what was on his mind. First, he points out that, alone among the animals, humans use speech to communicate not just pleasure and pain but also “right and wrong and the other moral qualities.” Second, he notes that humans are “born possessing weapons for the use of wisdom and virtue.” Aristotle contends that our speech and our innate capabilities find their highest expression in the “political partnership” between individuals and society. On this basis, it’s easy to see how the cultivation of speech and the strengthening of morals have defined “academic virtue” in the education of the young ever since.

Fast forward 2275 years to 1926, to find a more sophisticated society still seeking virtue at essentially the same wellsprings, but now equipped with a grading system and strong tools for statistical analysis. This was the year in which the SAT was born. At that time, the goal of testing individuals was to determine suitability for military service, so we can reasonably comment that the pursuit of the “political partnership” by assessing “academic virtue” was still very much alive. Indeed, the SAT was soon rapidly adopted by universities and colleges, who saw it as an additional measure (over and above high school test scores, existing admission tests, letters of reference and interviews) by which students could demonstrate their readiness for higher education and hence for future life. Subsequent generations have agreed. In the 35 years to 1961, the number taking the SAT multiplied by an amazing 100-fold, and went on to double again before reaching its modern level of about 1.7 million candidates per year.

There has been a mass of literature written and a great deal said about the SAT, ranging from high-end research through to unprintable opinion. Mercifully, so-called YA-Dystopian movies seem to have waned in the last 5-6 years, but there’s one treasure entitled The Thinning with the tag line “It’s like the SAT, except it kills you” that may interest anyone who has exhausted NetFlix and wants a sample of our cultural response to the test. So, against this background, what can we usefully say about the SAT phenomenon that hasn’t already been literally analyzed to death in one way or another?

Well, first we know that fashions come and go: in recent years, numbers taking the SAT have plunged up and down by up to 30% per year in the wake of COVID, test-taking scandals, lawsuits, reported errors in the test administration and plain ordinary variations in people’s preference for taking this kind of exam. The SAT is here to stay, but we can expect it to swing in and out of style. Second, we know for sure that something like the SAT will always be required to determine suitability for university admission. Let’s hope that the universities themselves don’t stray too far into this territory; the independence of the SAT has always been one of its strong points. And thirdly we should beware of finding something worse: if you hate the formality of the SAT exam, would you really prefer the less-transparent process of being judged on applications essays or solely on the ball-and-chain legacy of your 4-year high school transcript?

We should also remember that the SAT itself keeps changing, with the most recent revision having been in 2014 and with another set of changes scheduled for 2024 (when the test will be considerably shortened and re-architected to be taken on screens and tablets). Such changes mean that we can’t look upon the SAT as a fixed standard, not across societies with different technologies and certainly not across decades. Nor is it absolutely “fair” – how could it be when it keeps changing? Much more seriously, detailed statistical analysis (and subsequent legal action) have produced findings that aspects of the SAT systematically favor or disfavor students from certain demographic groups. Clearly, this must be fixed. If the SAT is to be of value to society, it must surely keep changing to reflect the values of society, and this may mean changing at an accelerating pace. Already, our ideas on what is worth testing, how to reduce bias in testing and what the test means have changed out of recognition since 1926. To illustrate, take a look at some questions from the 1926 test, and please reflect that the 8,040 students who tested on Wednesday June 23, 1926 were given just 97 minutes to attempt more than 300 of these beauties:

  • A man spent one-eighth of his spare change for a package of cigarettes, three times as much for a meal and then had eighty cents left. How much money did he have at first?
    A. $1.60; B. $2.40; C. $3.20; D. $2.00.
  • Which two numbers are next in the sequence: ⅛ ⅛ ¼ ¾ 3 ? ?
  • Epilepsy is to carpenter as stuttering is to
    A. tongue; B. minister; C. cure; D. stammering; E. fluttering

It’s tough to approach these questions without a lot of academic apprehension, let alone social distaste. Nowadays, indeed, students might find questions like these “totally” unfair from several perspectives, hard (if not impossible) to understand, and certainly very difficult to answer at speed. And yet there they were, helping to determine who would thrive in American society just 100 years ago. O tempora, o mores!

It is in this aspect, actually, that I mainly believe the SAT retains its value today: it continues to attempt to measure “academic virtue” independently and with the goal of assigning societal opportunity. It isn’t 100% fair (no test ever is), but taken with other academic indicators, it is still a reasonable predictor of future “success”. Preparing for the modern SAT is an interesting exercise in itself: the preparation can greatly improve a student’s perceptiveness and comprehension when reading passages of many types; it can certainly help a lot with baseline skills such as vocabulary, grammar and punctuation; it provides a probing test of understanding of topics from the early and middle levels of the high school math curriculum. SAT preparation takes about 3-6 months, during which time it challenges each student’s determination to strive towards a goal, and it presents students with a very interesting opportunity to observe and learn about themselves in relation to that challenge. And it needn’t be expensive: there are perfectly good, free SAT preparation tools around.

The current learning landscape in the US allows for a great diversity in student experiences during high school. Students can select from a wide range of subjects to study, can use a great cornucopia of tools that help with learning, and can have access to extraordinary opportunities for self-development through extra-curricular activities, through rich communication channels, through multimedia and virtualization, and through travel, to list only a few. The SAT, with all its faults, provides a standard by which increasingly diverse cohorts of students can be measured against each other. It isn’t very popular to talk about this aspect of examinations, but the hard fact is that tests are there to sift individuals precisely because this kind of separation is good for society. The modern world provides more opportunities than ever for an individual to “be themself”, to consume alone, to isolate, not to be judged and in effect to be “an Iland, intire of itselfe“ as John Donne puts it. The SAT, by contrast, is a call to arms, an opportunity to test yourself against your peers, a chance to experience and endure public assessment, a rite of passage towards the “political partnership” and a way to find out more about yourself. Those who want rid of it altogether maybe haven’t yet encountered another of Aristotle’s aphorisms:

a person who…does not need any part of a state because of self-sufficiency is either a beast or a god

The bottom line: Although the SAT is imperfect in several ways and out of fashion in some places, something like it will always be with us. Students should try it as a personal challenge. The experience may teach them more than they expect, and may help them to grow as individuals in relation to society.

Calculus or Statistics – Which to choose?

Executive summary: Apparently unrelated personal preferences may guide the difficult choice between calculus and statistics.

Explore your limits or take your chances. Neither is comforting advice when faced with a tough decision. Yet these are the options that about a million students are given each year in the US as they grapple with a notorious choice: calculus or statistics?

If you like explosions, you’ll love the stats on AP Stats. Since AP Statistics was introduced 25 years ago, its enrollment has grown to surpass Calc BC’s by 50%, and another 50% surge in the years ahead will likely take it past Calc AB’s. For homework, run the numbers, and you’ll see this is a significant rate of change! Meanwhile calculus courses remain a steady staple at high schools, colleges and universities, with maybe three-quarters of a million Americans taking some type of calculus class at any given time.

Will my later career
really be enhanced by the choice I make today?

Partly because statistics is perceived as a replacement (an easier alternative?) for calculus, and partly to keep the cognitive load under control, few students take both calculus and statistics, and fewer still take both simultaneously. This is a pity, because the two disciplines are (or at least should be) intertwined. Statistics without calculus is somewhat elementary, austere and simplistic. Maybe that’s the idea!

There’s a lot of great, expert advice available online about choosing between calculus and statistics, including very helpful insights from professional mathematicians and brilliant university educators for whom I have tremendous respect. I would recommend anyone faced with this choice to dip into some of these writings, as they are offered by strong intellectuals with profound personal experience of both subjects.

The treatments I have found seem to dwell on three main angles.

Firstly, almost everyone gives competent (or better) descriptions of what the subjects are. We learn that calculus is the mathematics of quantities that change, taking us to infinitesimal limits to deliver useful results in the real world. We learn that statistics is the mathematics of managing data, harnessing notions of probability to power inferences about large sets. Great, but I worry that these summaries don’t really tell you much: frankly, you would have to do the courses to properly understand what the summaries mean.

look closely at yourself to help make this decision

The second type of advice focuses on the relative difficulty of the two subjects, often gently slanting you towards statistics if you want the “easier” option. One day I’ll devote a whole essay to this, but, as anyone who knows me knows, I have difficulty with difficulty. What is difficulty? Where does it reside? Is it one-dimensional? What does it mean to say one thing is more difficult than another? Would everyone agree? In 2019, the mean scores for Calc AB and Calc BC were 2.97 and 3.80 respectively, while the mean for AP Statistics was 2.87. Which is more difficult now?

The third main mode is to discuss the perceived value of calculus versus statistics for the later studies and careers of the students who take them. Careful readers may discern a certain teleology in this approach. Will my later career really be enhanced by the choice I make today? Should it be? Might my confidence in later life be improved by my choosing (say) calculus today, discovering I don’t like it, then marching forward into a great future where I use statistics every day? Again, it’s imponderable.

I would advocate a different approach – look closely at yourself to help make this decision. If you love shape, symmetry, geometry and design, and if you appreciate metaphor, consider studying calculus. On the other hand, if you like people, organization, information and prediction, and if you respect precision in language, then statistics may be a better match for you.

The bottom line: Modern gurus give great guidance on this important question, but perhaps the sages – St Francis, Emerson, Thích Nhất Hạnh to name but three – have it right: The Answer Lies Within!

What do I do if I’m unsure what to study?

Executive summary: If in doubt about what to study, pick mathematics, English, a language, a science and an art.

One of the great privileges, and challenges, of learning in our times is choice. Compared with learners 50 years ago, students enjoy far more curriculum options today, but many students in the 2020s will tell you they aren’t sure what to study. What happened to knowing all your life what you wanted to be?

If you’re

not sure

what to learn,

learn the basics

Well, in part that was always an illusion; but to the extent that it’s real, the problem is related to the type of options on offer. Your school days are an extraordinary opportunity to receive an academic grounding. In most traditional school subjects, this means climbing a staircase of concepts, principles, laws, experiences, tests, and (yes) errors.

You’ll hear it said that school days are indeed an opportunity, but that they are principally an opportunity to prepare yourself for your life and career ahead. I would suggest you downplay that viewpoint. If you focus on fundamental subjects, I believe you can build your productive potential while keeping your later options open. If you specialize too early – and I’m referring to taking more “applied” subjects at school – you’ll have the sensation that you are preparing for the “real world”, but in fact you’ll find your options narrowing.

Be careful of courses that offer skills in project management, technical writing, business theory, modern political themes, etc. They may be rich in skills and ideas that you can easily pick up later. If in doubt, embrace a core syllabus of fundamental subjects: mathematics, English, a science, a language, an art. If such a syllabus can teach you some relatively ageless principles, in a structured, coherent and interesting way, giving you the chance to receive, process, retain and express thoughts in a variety of contexts, it will prepare you excellently for the life and learning that lie ahead.

The bottom line: If you’re not sure what to learn, learn the basics. Pick the “old-school” subjects, and sharpen yourself on what they have to offer. There is time enough to harness your learning to specific applications later on.