Monday, February 01, 2021

Cart Before Horse

Students in marginalized groups are not doing well in math, and this is hampering upward mobility. But the solution provided in the recently adopted California Mathematics Framework (CMF) doesn’t serve the laudable goal of improving mathematical fluency in under-represented populations. 

In a 11/29/21 article by Joe Hong in Cal Matters, Tom Loveless, a retired math education expert puts it in a nutshell: “The way you get social justice in mathematics is to teach the kids math … not by dressing up mathematics in social justice.”

In the original draft of the CMF, central author and instigator Jo Boaler actually went so far as to write that mathematical talent isn't a thing, that it doesn't exist. Of course, to say such a thing is nuts. It's ridiculous. Nevertheless, differentiated advanced instruction for gifted students was condemned, at best, in early drafts of the CMF. Palo Alto parent Avery Wang makes the point clear. “Holding back high achievers makes them achieve more? That’s exactly the same philosophy that’s being promoted in the math framework.”

But this is the inevitable, illogical conclusion of woke ideology in math education, and woke ideology, generally: “Our personal differences are of central importance, but despite real differences, we should all achieve equally.”

The CMF is the culmination of a decades-long crusade within math education circles to teach math “constructively" by "discovery” and make math “more relevant” and “more fun." As a long-time member of the National Council of Teachers of Mathematics, a trade group for math educators that took a leading role in promoting constructivisism the late 1980s, I’ve watched this movement gain steam in recent decades.

Music Theory is not “Music Appreciation.” Those are two entirely different courses. Likewise, “Precalculus” and “Recreational Mathematics” are utterly dissimilar in purpose, method, and scope.

In the article, Michael Malone, parent and math tutor, puts it well: “They’re changing math to make it math appreciation. A part of math is learning things that are not authentic to life.” He then opines that the CMF “does a disservice to historically marginalized student groups by offering them a simplified version of math that fails to prepare them for the challenges of a career in science, tech, engineering or math.” Finally, Malone correctly concludes: “Math is gonna be hard for students who don’t enjoy it as much.”

[Thank you, Captain Obvious.]

In a separate Cal Matters article, UC professor Svetlana Jitomirskaya expresses her exasperation by the decision of the authors of the CMF not to seek much input from from STEM experts who naturally have first-hand awareness of the level of mathematical maturity and training incoming undergrads must have. “The process should have definitely involved STEM faculty from top CA universities with direct knowledge of what is needed for success as STEM majors,” she emailed. “It is absurd this was not done.” 

Jitomirskaya further criticizes the CMF for emphasizing “exploration at the expense of skills development,” and says there’s a “mountain of evidence that similar ideas have consistently failed when implemented at scale, and a rigorous approach — teaching students to back up answers with logic — is the only method known to decrease the [mathematics achievement] gap.”

This has been my own experience as a professional math educator for 45+ years. Sure, it would be nice if each student could reinvent the wheel, and in an ideal world, constructivism would be the best approach to take in teaching mathematics. In a very small class with a genius teacher, highly motivated and gifted students, and two math periods a day, constructivism could play a key role and be an important and highly productive part of the mix. But how many American math classrooms does this describe? As the professor points out, the constructivist idea doesn't scale. It's good in theory, bad in practice. Although both are important ideally, in reality, acquiring mathematical skill is more important than discovering mathematics.

Citing CMF-styled math exercises, Professor Jitomirskaya shows how these problems are illogical, poorly formed, and could introduce "a wrong idea of what it means to solve a problem — something that college professors struggle to undo."

Jitomirskaya states “It is irresponsible to make the entire state a laboratory for very controversial educational theories ..." and concludes that "Social justice, while desirable and necessary, will not come about by abandoning mathematical rigor."

I couldn't agree more. If one is concerned about upward mobility, getting good grades in math isn't what counts. What does count is having genuine mathematical skill and intuition, which cannot be developed simply by watering-down curricula so that struggling students are able to show better marks on their report cards. Masking problems doesn't make them go away. Pretending students are accomplished isn't helpful, and it isn't compassionate. Eventually, the rubber will actually hit the road. Again, quoting Tom Loveless: "The way you get social justice in mathematics is to teach the kids math."

Whatever one thinks of the "social justice" movement, math is still math and chemistry is still chemistry. The derivative of 6x^2 and the atomic weight of boron have nothing to do with “diversity, equity, and inclusion.”

If we're smart as a society, we'll make sure the horse precedes the cart.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, January 01, 2021

Pick Three: Academics, Sports, Free Time, Sleep

In my day, we somehow managed to get a good education, do required homework, get plenty of sleep, and have lots of time left over for sports, jobs, interests, and all kinds of social activities. Most of my peers did most of it, and quite a few did it all. 

I don’t know exactly what happened, but that’s certainly not the norm for college bound high school students, anymore.

Nowadays, with all the time it seems to take to be competitive for a seat at a good college, it’s normal for serious students to be sleep-deprived.

Studying is important. But there’s a point at which more time spent studying hurts your GPA more than it helps. Lack of sleep will eventually become harmful to memory, creativity, thinking, reading, writing, and other mental and physical processes necessary to do good academic work.

Growing teenagers need a good nine hours of sleep per night. When I ask students how much sleep they’re getting, the answer is generally in the neighborhood of six to seven hours per night. That’s not enough. And it matters. Adding just one hour of sleep per night could significantly improve your energy levels, cognitive functioning, mood, and academic performance. 

[First of all, it's worth asking if you're pursuing the right goal. A top college should be only your goal for the right reasons. Your reasons. There are other good options. You really do not have to do this, if you don't want to. Only you can decide if the path to a top college is right for you. Having said that, I'll assume you've rationally chosen that path, for yourself, for the right reasons, and are looking for ways to make the trip as productive and frictionless as possible.]

Under-disciplined but otherwise ambitious students today can pick three of the following four desirables: academic success, sports, free time, and sleep. All may seem essential. How do you pick just three?

First, choose reasonable sleep time on a regular basis, and some downtime to go with it. Without your health, nothing else matters, and little else can be accomplished. This should be non-negotiable.

That leaves academic success, and sports/extracurriculars. Academic success is the whole purpose of the undertaking, so pick that.

Now what? No sports or extracurriculars? 

Maybe not. Is baseball really that important? Band? Volunteering? Sometimes the answer will be “No, not that important.” Other times it might be “HELL YES, that’s extremely important.”

So, what’s the answer, then? Can't I have it all? 

The answer is a qualified "yes, you can" and the not-so-secret ingredient is self discipline. 

To have it all you’ll need to become very good at making tough choices and sacrificing the small stuff. ALL the small stuff.

The word “No” will become a very close friend. You must learn to say “no” to just about anything and everything unimportant. Sometimes a nap may be a good idea; other times, not. You may want to do two sports simultaneously, but is it worth the hit to your academics?

You’ll need to become a master planner. You’ll need to be motivated and organized. Deliberately set things up so you’ll get things done and get enough sleep. No slouching. No this, no that. That's a lot of no.

Luckily, the things you'll need to refuse are probably things you don't want to do anyway, if you think about it in light of what's important and valuable and rewarding to you.

It’s time to grow up. That’s really all it is. Childhood is basically over. No free lunch. Go out there and pay your dues.

Chances are quite good the effort will be well worth it.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, December 01, 2020

History of the SAT and ACT

Test nerds and prep professionals already know about this site, which outlines in some detail the history of the SAT and ACT from the late 19th century to the present day. 

Information provided covers the founding of the College Board, the fits and starts and many early and late iterations of the SAT, the inception of the test prep industry in 1946 (Stanley Kaplan), the beginnings of the ACT in 1959, and a great deal more.

It’s a fascinating read for anyone with more than a passing interest in American college entrance tests.

Bibliographic notes are found at the end of the article (though most are not linked).

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, November 01, 2020

Take Professors, Not Courses

In college, you can, with some limitations, choose not only your courses but also your professors. And, arguably, before you choose a major, professors can be more important than courses. 

Using ratemyprofessors.com, students can find the best professors in every department at most colleges and universities in the U.S. Look up your school, and browse the reviews of the most highly rated instructors for things that pique your interest and intuition. Ignore the department. Just find and read about the best professors in the entire college. Even if you’ve never had any interest in a particular field of study, think about taking the professor, not the course. 

Art History? Economics? Astronomy? Shakespeare? Latin-American Studies? Italian? Anthropology? The Mathematics of Gambling? Figure Drawing? Pure Land Buddhism? Botany 101?

The reviews you read about this or that professor may persuade you to take certain classes based on his or her outstanding reputation, particular comments left by other students, and your own instincts.

Great professors change lives. And great schools have great professors. Find them. Work with them. See where it takes you.

You may be surprised – and pleased.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, October 01, 2020

Bob Books

These zany little offerings for early readers were some of my young daughter’s favorite books when I was teaching her to read at age four. 

Written to be as entertaining as they are simple, Bob Books are as good as it gets in terms of quality phonetic early reading material that’s fun and engaging.

Kids can color-in the pictures to their own liking, which is also cool.

Bob Books come in sets – LOTS of sets!

Click here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.