Friday, July 01, 2022

Mad Minute

Mastery of the basic facts of arithmetic is the first step toward mathematical fluency, and is a central early academic goal. 

A "Mad Minute" is a simple, daily exercise for elementary school students striving to memorize their basic math fact "tables." Mad Minute worksheets contain several dozen questions using the same operation (addition, subtraction, multiplication, or division), and are an excellent way to provide kids with daily practice.

To complete an exercise, students are given one minute to answer as many questions as they can. Each correct answer earns one point. After the minute is over, the number of correct answers is counted and written atop the page. Speed, therefore, is essential to a high score. However, students stop earning points after the first mistake! So accuracy is even more important. 

[Note: Mad Minutes introduce and reinforce two very important rules in studying mathematic – speed is important but accuracy is even more important – and are therefore doubly beneficial.]

Mad Minutes should be assigned at home each day (one for each operation, if possible, according to the student's current ability).

Mad Minute exercises are also great ways to track progress, since each completed exercise acts as a current assessment of mastery. Students might enjoy recording their scores in a 2-column table, and visualizing them using a 2-D chart with dates along the horizontal axis and scores along the vertical – an excellent way to introduce the concept of numbers as data. You can find large-format graph paper here and here.

Mad Minute books, providing multiple worksheets for each operation, have been around for decades. Click here to buy the latest on amazon.

Free downloadble/printable basic number fact worksheets, along with online drills and simple games, plus more worksheets and drills covering advanced work with operations, decimals, percents, and fractions, and simple mental exercise games like Make a Match and Find It, can be found on lizardpoint.com here.

Hint: Downloaded files are easier to work with, since workbooks eventually fill up and need to be re-purchased. Mad Minute exercise files, on the other hand, like those available on lizardpoint, can be printed over and over again, as needed.

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

Wednesday, June 01, 2022

The Great American Bathroom Books

Imagine a single-volume guide to a classic liberal arts education. You get essentially that in The Great American Bathroom Books, Volume 2.

Containing two-page thumbnails of all-time great written works, readers get a taste of famous titles without having to invest hours in the process. Single-sitting synopses are well-organized and well-written. Think of each as a summary of a summary, a shortened "Cliff Notes." 

Volumes 1-3 include main plot points, central themes, and condensed analysis of classic works of literature, important novels and plays, and popular recent non-fiction titles. All but Volume 3 are out of print. Read the second volume, first.

But a good used copy on amazon here or eBay here.

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

Sunday, May 01, 2022

The Lazy Man’s Guide to Enlightenment

Never was a book's title more descriptive. 

This dense little book by author Thaddeus Golas is short and very sweet. Takes only an hour to read, but can be re-read again and again, newly each time. By the end of it you'll have no excuse to to remain endarkended.

Talking about enlightenment is like a dog chasing its tail, eating your own mouth, seeing your own eyeballs without a mirror. It's impossible, a futile effort. Paradox and Confusion are the guards protecting the Jewel within the temple. Enlightenment lies outside the realm of words and concepts.

The author acknowledges early on his own reluctance to write the book in the first place, explaining it's really just a personal journal of sorts, written to remind himself of key points and lessons he's learned.

"He who talks about the Truth doesn't know it; he who knows the Truth doesn't talk about it."

Nevertheless, here it is, in less than 100 pages.

End your quest, and realize that you're already (always have been, and always will be) enlightened. Experience (or re-experience) the "Me Decade" of the 1970s and the Human Potential Movement in all its glory.

Read, learn, lighten-up.

The book is out of print and getting expensive. Buy the book here on amazon.

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

Friday, April 01, 2022

PreK-12 Curricula

Public and private schools vary greatly in quality, and parents ought to take responsibility for ensuring each child is learning what he or she needs to learn at every stage.

There's a vast ocean of teaching guides and materials available online. Few parents are professional teachers or education experts, and those without such training or experience will find it difficult to separate wheat from chaff. Those looking to monitor the education of their children or who want to teach or tutor their children at home will need help in their efforts.

For such parents, having access to a reliable curriculum guide is essential. Two that I've found useful are the ones found at IXL and World Book.

The IXL platform is used in schools all over the nation, and a paid IXL account may be worth the investment for your family, given the breadth and depth of their PreK-12 course offerings, excellent learning materials, and sterling reputation.

The Core Knowledge Foundation, headed by E. D. Hirsch, author of the acclaimed Core Knowledge book series, provides free curriculum materials for grades 1-8. I'm a big fan of Core Knowledge Books, and recommend them highly. Based on the excellence of these publications, I'm confident the curriculum materials prepared by the Core Knowledge Foundation will be of similar quality. Interested parents can check them out here.

An excellent resource for teaching young children to read is the phonics-based Teach Your Child to Read in 100 Easy Lessons. I used this book to teach my own daughter (eager learner) to read at age four. Each lesson takes about 20 minutes to complete, and can be broken up into two parts for kids without lengthy attention spans. The method of instruction is so simple that any parent with a good high school education can implement it easily.

Nowadays, it's quite important to carefully monitor what's taught (and how it's taught) in school. Gone are the days when parents can safely take these things for granted.

Fortunately, there's a lot parents can do to ensure their children actually receive a high quality education.

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

Tuesday, March 01, 2022

Atlas Obscura

I came across this book in an all-night gas station convenience store, of all places. With coffee in hand, a few minutes to spare, and the purchase of a birthday present on my to-do list, I read a few pages and was entranced. I picked up one for the birthday girl (our adult daughter), then ordered an extra copy for me.

For anyone who's adventurous and likes travel, Atlas Obscura is a great read, an awesome reference book, and a truly unique trip planning guide. The book lives up to its name, directing adventurers to obscure, fascinating, odd-ball destinations at home and abroad.

From amazon's description of the first edition:

"It's time to get off the beaten path. Inspiring equal parts wonder and wanderlust, Atlas Obscura celebrates over 700 of the strangest and most curious places in the world.

"... the dazzling glowworm caves in New Zealand, or a baobob tree in South Africa that's so large it has a pub inside where 15 people can drink comfortably. Architectural marvels, including the M.C. Escher-like stepwells in India. Mind-boggling events, like the Baby Jumping Festival in Spain, where men dressed as devils literally vault over rows of squirming infants. Not to mention the Great Stalacpipe Organ in Virginia, Turkmenistan's 40-year hole of fire called the Gates of Hell, a graveyard for decommissioned ships on the coast of Bangladesh, eccentric bone museums in Italy, or a weather-forecasting invention that was powered by leeches, still on display in Devon, England.

"Created by Joshua Foer, Dylan Thuras and Ella Morton, ATLAS OBSCURA revels in the weird, the unexpected, the overlooked, the hidden and the mysterious. Every page expands our sense of how strange and marvelous the world really is. And with its compelling descriptions, hundreds of photographs, surprising charts, maps for every region of the world, it is a book to enter anywhere, and will be as appealing to the armchair traveler as the die-hard adventurer.

"Anyone can be a tourist. ATLAS OBSCURA is for the explorer."

Buy the second edition here (100 more destinations, and more).

Check out the official website here.

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

Tuesday, February 01, 2022

Freerice

At
freerice.com students of all ages can learn everything from basic arithmetic to art history, world geography, anatomy, and English grammar and vocabulary, while earning grains of rice to donate to the United Nations' World Food Program (WPF).

"Rice" is used as a metaphor for donations generated by users of the site that sponsors then fulfill. Each correct answer stores 10 grains of virtual rice for donation to the WFP. Sponsors then give the monetary equivalent of all rice collected to the WPF to fund its charitable work around the globe.

From the site:

"The United Nations World Food Programme (WFP) is the 2020 Nobel Peace Prize Laureate. We are the world’s largest humanitarian organization, delivering life-saving food assistance in emergencies and working with vulnerable communities to improve nutrition and build resilience."
Freerice is a great way to learn while helping others in need throughout the world. The site generates billions of "rice grains" each year, a total of 224 billion to date! Caring students get smarter while making the world a better place in a concrete way."

For anyone who loves learning, it's hard to imagine a better way to have fun.

FAQ here.

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

Saturday, January 01, 2022

When Adult Children Send Parents on Vacation

One of the joys of parenthood is when you travel halfway around the world on premium plane tickets bought for you by your now adult daughter who paid for them with spare money she’s earned after going through the American high school and college meat grinders and coming out the other side with a senior job working for a top 10 tech company along with a wonderful husband and beautiful baby girl and close family members in five countries on four continents.

Enough said.

But I’ll say more.

There are moments when one realizes it’s worth it. To struggle and worry and win and lose and strive and push and crawl in the dark without a “how to” manual or the slightest assurance of success for years and years to bring to your child something that you, yourself, never had. What I always needed, but never received, was the reliable backup, love, and guidance that only a father can provide. But I did give that to our daughter. Together with the font of light and love and fine example of womanhood provided by her mother, it seems to have worked well.

The parenting my wife and I gave our daughter was far from anything resembling perfect. But it was good enough. And that’s good enough, apparently.

No one knows the future, and that's fine. No pressure. The point is that I was able to discharge my duty as a dad. And it feels good to know that.

[Girl in the picture not our actual daughter.]

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

Wednesday, December 01, 2021

Coaching v. Tutoring

Academic Coaching is a specialty in the field of private practice education.

How has academic coaching evolved? What's the difference between ordinary tutoring and professional academic coaching? When is it wise to hire an expert, despite the higher cost?

The purpose of this article is to clarify the distinction between ordinary tutoring and academic coaching and help answer these salient questions.

Historically, private tutoring was the way most education happened, the primary means by which critical knowledge and skills were passed from one generation to the next.

Whether the subject matter is hunting mammoths, learning Latin, sewing a dress, playing piano, passing the bar exam, or mastering basic algebra, nothing beats one-on-one private instruction with an engaging, expert private teacher. Indeed, it's been said that the best possible educational setting is "yourself, Aristotle, and a log."

[Continue reading here.]

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

Monday, November 01, 2021

The Most Fun You Can Have With $100

Micro-financing makes seed capital available to poor people who want to start their own business but simply cannot afford to get the started. 

The opportunity to rely on themselves, to think realistically of a day when poverty will be a thing of the past for themselves, their families, and possibly their communities, as well, is an enormous blessing for all concerned.

None of this happens easily, of course. Much hard work and dogged determination will be required to make these micro-businesses into growing, thriving, profitable success stories.

But most of these dreams do, in fact, come true.

As the business owners get to work, and start seeing their labors bear fruit, beliefs in scarcity and the inevitability of poverty start evaporating. These outcomes would be impossible without the initial loan of seed capital by small-scale venture capitalists like you and me.

That's where micro-lending site Kiva comes in.
Kiva brings together low-income would-be business owners in 70+ countries with small-scale funders to help make dreams real.

As a Kiva member, you deposit a fixed sum (say, $100) into your Kiva account, and then lend it out to one or more applicants applying for financial seed money to start their businesses. Would-be business owners post info about their themselves and their business aspirations to make it easy for funders to decided where to loan their money (country, type of business, picture of themselves, etc.).

Once the money you've loaned is repaid, it returns to your account, so you can lend it out again ... and again ... and again and again and again! Kiva boasts a 96% repayment rate (!), so your original investment of x dollars can easily have the impact of 5x or 10x or more!

Becoming an active Kiva lender is certainly one of the best ways to spend $100 and a half our every few months (and one of the most fun.)

Kiva is given the highest rating (for stars, 90%) by Charity Navigator:

Check out Kiva for yourself.

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

Friday, October 01, 2021

Mathematical Logic

The trunk of the tree of mathematics divides into two main branches: applied mathematics, and pure mathematics.

Applied mathematics is concerned with calculation. Getting the right answers. Building things. Making sure the probe lands safely on Mars, that the bridge can withstand high winds, that revenue will exceed expenses. Utilitarian math.

I've always been interested in pure mathematics: the study of numbers, purely, for no other reason. Useless math, in other words. Math for the sake of math, only. Utterly non-utilitarian math.

The purest of pure math is logic, the foundation of mathematics. Mathematical logic is "meta-mathematics," the software running the machine, the engine under the hood.

One my favorite undergrad courses was an upper-division class in mathematical logic. Not long ago, I decided to take out some old textbooks, and summarize what I'd learned decades ago. The result was a set of simple notes for doing "Truth-Tree" proofs, one my favorite class activities.

You'll find the notes here.

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

Wednesday, September 01, 2021

Secret Sauce

Standardized testing is an inescapable fact of academic life.

Unfortunately, many students receive low scores simply because they lack the necessary test-taking know-how, preparation tools, practice habits, or skilled instruction required to maximize scores on tests like the SAT and ACT.

Nowhere is this more evident than on the math sections of such tests.

Of course, mathematical ability is the best predictor of success on any math test, and many tutors use an entirely content-based approach in an attempt to quickly increase standardized test math scores. In most cases, however, this is a fool’s errand.

[Continue reading here.]

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

Sunday, August 01, 2021

I ❤︎ TurboScan

Scanning apps are nothing new, but when TurboScan came out more than 10 years ago, they were. TurboScan was a breakthrough, and quickly became a mission-critical app for busy professionals everywhere, and it remains so today.

I use TurboScan practically everyday, in my professional and personal lives. Making perfect color or black/white scans of important hard-copy receipts and documents (and then mailing them as pdf documents to myself or others) has become a crucial part of my workflow. In fact, I'm still discovering new features. Even without having bothered to teach myself the full range of its usefulness, Turboscan has radically changed and fundamentally improved the way I, and others I know, conduct business and teach online.

I've been thoroughly dependent on TurboScan nearly since its inception, and I'd be lost without it. I can't recommend it more highly.

You can find TurboScan in the Apple or Android App Stores. Both free and pro versions are excellent.

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

Thursday, July 01, 2021

ACT Mini-Tests

Mini-testing helps students discover the high levels of energy, focus, and discipline (pacing) required to maximize scores on the English, Math, Reading, and Science sections of the ACT. 

For each test section, students take shorter timed “mini-tests” containing a representative sample of questions in a fraction of the time proportional to the number of questions in the mini-test.

This exercise is a sprint! The goal is to push oneself, in short bursts to the very high level of focus and energy required to achieve a perfect score. Through trial, error, and increasing application of personal will, students learn to enter and eventually habituate the state of mind necessary to maximize their scores.

For example, an ACT math mini-test is created as follows:

From an official ACT test, the math section is printed. The student attempts to answer 1/4 of the questions in this section in 1/4 of the time allowed. Instead of completing an entire ACT Math section – which would require 60 minutes to answer 60 questions – the student has 15 minutes to answer every fourth question in this section: #1, 5, 9, 13, etc.

A bubble sheet is not used, but the standard marking system is observed (circling letters, writing large capitals under question numbers, adding “?” or “X” for guesses, etc.). The student uses an analog watch reset to exactly 12 o’clock to mark time

At the conclusion of each mini-test, students check their answers, critique their performance, and record insights. This material is then studied and reviewed thoroughly (reviewing notes and reworking incorrectly answered questions) before repeating the process. "Practice, critique, review, repeat!"

Below are standard time limits recommended for various ACT mini-tests:



English

One passage, 15 questions: 9 minutes

Math

Every 4th question, 15 questions (#1, 5, 9, 13, etc.): 15 minutes

Reading

One passage, 10 questions: 8 minutes 45 seconds

Science

One passage, 6-7 questions: 5 minutes 50 seconds

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

Tuesday, June 01, 2021

ACT Perfect Scores Have Been Blowing Up

In the two decades between 1998 and 2018, the number of perfect scores on the ACT increased 34x from .01% to .34%.

Have students preparing to enter college suddenly become 34 times smarter? Unlikely

This explosion in perfect test scores is chronicled in an article on the PrepMaven site:

These are still very low numbers – in 2021, only 4,055 students taking the ACT earned a perfect score. However, the percentage of students getting a 36 on the ACT has gone from less than 0.01% to 0.34% in 2020! (There’s a small dip for 2021, which we can likely attribute to the Covid-19 pandemic.)

The makers of the ACT have assured us that this isn’t because the test is getting easier!

Rather, our hypothesis is that the rise in students getting perfect scores is because more high-achieving SAT “superstars” are now also taking the ACT, whereas before they would have only taken the SAT.."

Plausible? SAT superstars migrating to the ACT?

Perhaps.

In another treatment of the subject, Hannah K. Sparling and Dan Horn of the Cincinnati Enquirer put it this way:

"If the test is essentially the same, why are so many more students acing it?

The most likely answer is a booming test-preparation industry that’s built on the hopes and fears of students and parents who are willing to work – and pay – to get an edge.

They see the investment of a few hundred or even a few thousand dollars in a test prep program as worthwhile if it helps land their child at an Ivy League school or secures a big financial aid package."

Plausible? Anxious parents, hyper-competitive students, and increasing billions spent on test prep?

Definitely could be.

On the same subject, the Applerouth Team said the following:

"Perfection can be a tricky thing. Too much of it diminishes value. Think of little league where everyone got a trophy. Or that Earth Science class where the teacher promised an A+ if her students simply did the work. Not everyone deserves the label of “perfect,” and the same is true for the ACT. A composite of 36 should be reserved for a select few, and too much perfection should raise red flags over the difficulty of the test..."

It's worth noting that, despite a recent dip in perfect scores correlating with the Covid years, numbers of perfect ACT scores (at last count) are still 30 times larger than they were a generation ago.

I concur completely with Applerouth. When grades and test scores are no longer seen as trustworthy, they become worthless as means of assessing merit and rewarding talent and hard work. A 30x increase in perfect test scores is unsustainable and unacceptable.

Grade inflation is real problem, and has been for decades. Although merit certainly isn't everything, life is inherently competitive, whether we like it or not – and refusing to hold back failing students is neither helpful nor compassionate.

I hope we come to our senses sooner rather than later. Denial of reality is never a good long-term solution.

Quite the opposite, in fact.

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

Saturday, May 01, 2021

Toy Box Subscriptions

New parents often wonder what kinds of toys to buy for their infants and toddlers.

When given a choice, little ones seem find everyday objects the most fascinating. Kitchen items are a favorite source of amazement: bowls, cups, pots and pans, silicon cupcake moulds, ice cream scoops, etc. Balls, plain wooden blocks, fabric, toilet paper tubes, and small boxes are other examples of free or low-cost toys that babies love.

Remember to assiduously avoid anything sharp, pointed, small enough to fit all the way inside a young child’s mouth, or painted (unless you know the paint is safe). Remember, until infants are a year old or so, everything goes in the mouth.

Nevertheless, it’s nice to find some fine educational toys to add to the mix. Researching the best options for baby at each age of development can be a chore, however. Fortunately, regular delivery of curated selections of age-appropriate toys is now possible through various subscription services. One of the best of these is Lalo.

Rooted in the Montessori early learning model, boxes of educational toys picked for specific age groups can be purchased individually or through a subscription model. With minimal effort, busy parents can check this task off their to-do list and give themselves more precious family time.

You’ll find other top offerings in Best Baby Toy Subscriptions of 2024 published by U.S. News.

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

Thursday, April 01, 2021

Major for Money, Minor for Love

Once upon a time, in the days when college was affordable for virtually everyone, a simple part-time job was all it took to pay tuition, room, board, books, and fees. In the olden days, the best advice was: “Follow your passion. Study what you love, and the money will follow.” 

Nowadays, that’s bad advice. Undergraduate degrees are beyond expensive, and graduate degrees are even more costly. Stories are rife about college students racking up huge debts chasing degrees that don’t lead to jobs lucrative enough to pay them off.

Crippling costs of post-secondary education make it unlikely or impossible for many students to move up the social ladder. Without much (or any) disposable income left over after paying basic expenses and college loan payments, many young adults have little to look forward to in life beyond renting, penny-pinching, and dealing with the stress of living paycheck to paycheck.

For nearly all young people today, I believe the best advice is: Major for money, minor for love. 

Before we go any further, it’s important to understand three SAT words: vocation, avocation, and amateur.

A vocation is a primary job. It’s the work you do to earn a living, a professional pursuit, a step along a rewarding career path.

An avocation is work you do for fun, in your spare time. It’s a hobby, essentially. Something you do for the pure love of doing it.

An amateur is a person who works hard to excel at a beloved activity while receiving no monetary reward for doing so. For many years, the Olympic Games were open only to amateur athletes, those training and competing for no other reason than personal satisfaction and love of their sport.

My advice is to major in a field of study that will pay good money and provide you with a good job that you won’t hate. Find a lucrative field you can excel in, one that doesn’t turn your stomach, and put most of your time into advancing your skills in this direction. At the same time, minor in a different field simply for the sake of immersing yourself in that which fascinates you. In your spare time, recharge your spirit by doing what you truly love. 

Major in accounting, minor in creative writing. Major in business, minor in dance. Major in statistics, minor in Italian. Major in nursing, minor in psychology. Major in AI, minor in art history.

You may not want to turn something you love into a vocation, anyway. Do you really want to make your passion a day-to-day struggle?

Imagine your passion is creative writing. How would you honestly feel about having to deal with marketing hassles, constant criticism and rejection, stifling commercialism, and unforgiving deadlines that fill the lives of professional writers? Do you realize how much competition there is for the vanishingly small number of well-paying spots in such a field? How long it takes to rise through the ranks, earning almost nothing in the meantime? Is it worth it? The stress involved could well destroy your passion for writing.  

Instead, engage in your passion on the side, part-time, as a hobby. Do your own thing on your own terms, simply for the love of doing it. Be an amateur, not a professional. Instead of spending most of your days battling with the many frustrating and soul-crushing aspects of life as a professional writer, join online writing circles, groups of other aspiring amateur writers, and enjoy sharing and improving your work on an informal, part-time basis with an appreciative audience of like-minded people.

Spend most of your time doing something that feeds your wallet, and some regular time on that which feeds your soul. 

You’ll avoid the tremendous stress associated with being chronically debt-ridden and cash-strapped while getting maximum pleasure out of the activity you most enjoy in life.

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

Monday, March 01, 2021

Patti Smith at Wesleyan 2016

My daughter graduated with degrees in mathematics and computer science from Wesleyan University in 2016. She's now a senior software engineer at Meta, well married, with a healthy and happy first baby, our first grandchild.

Can you tell I'm proud?

I'll never forget her graduation ceremony. Sitting in the audience, I was nervously flipping through the program, not paying much attention to anything in particular. Time passed slowly, as more and more parents and loved ones filled the chairs facing the stage in front of the beautiful Wesleyan library. Eventually, things got under way.

And then ... that voice!

I recognized it instantly as that of a musical hero of mine, the venerable Patti Smith. Not more than a few words into her talk, I knew it was her. What more fitting a way to mark my daughter's college graduation than with the spoken words of this particular poet extraordinaire:

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I was dreaming in my dreaming 

Of an aspect bright and fair

And my sleeping, it was broken

But my dream it lingered near.

In the form of shining valleys

Where the pure air rarified

And my senses newly opened

And I awakened to the cry.

That the people have the power,

The people have the power.

And where there were deserts,

I saw fountains and like cream the waters rise

And we strolled there together

With none to laugh or criticize.

And the leopard and the lamb

Lay together truly bound

I was hoping in my hoping

To recall what I had found.

I was dreaming in my dreaming

God knows a purer view

But as I surrender to my sleeping

I commit my dream to you.

That the people have the power

To redeem the work of fools

Upon the meek the graces shower

It’s decreed the people rule.

And I believe that everything we dream

Can come to pass

Through our union we can turn the world around

We can turn the earth’s revolution.

For the people have the power,

The people of the power.

Graduates, you are the future, and the future is now.

Congratulations.

Thank you.

-

Read the article in The Wesleyan Connection and watch the video here.

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

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.